Answers
By using distributive property, an estimate for sin((π/6 + ε)(1 - ε)) is approximately 0.5108.
What is sinx ?
sinx is a trigonometric function that represents the ratio of the length of the side opposite to an angle x in a right-angled triangle to the length of the hypotenuse of the triangle. In other words, it is the sine of the angle x.
The sine function is typically denoted as sin(x), where x is the measure of an angle in radians. It is defined as follows:
sin(x) = opposite side / hypotenuse
According to the question:
We can use the small angle approximation sin(x) ≈ x for small angles x to estimate[tex]sin((\pi /6 + \epsilon)(1 - \epsilon))[/tex], where ε = 0.01.
First, we can expand the expression using the distributive property:
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) = sin(\pi /6 - \epsilon^2 +\epsilon /6)[/tex]
Since ε is small, we can use the small angle approximation to estimate the value of sin(ε/6):
[tex]sin(\epsilon /6) =\epsilon/6[/tex]
Next, we can use the fact that [tex]sin(\pi /6) = 1/2[/tex] to estimate [tex]sin(\pi /6 - \epsilon ^2)[/tex] :
[tex]sin(\pi /6 - \epsilon ^2) ≈ sin(\pi /6) = 1/2[/tex]
Substituting these approximations into the original expression, we get:
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) =sin(\pi /6 - \epsilon^{2} + \epsilon/6) =sin(\pi /6) + sin(\epsilon/6) - sin(\epsilon^{2} )sin((\pi /6 + \epsilon)(1 - \epsilon)) = 1/2 + \epsilon/6 - sin(\epsilon^{2} )[/tex]
Finally, we can use the fact that sin(x) is approximately equal to x for small values of x to approximate [tex]sin(\epsilon^{2} ) as \epsilon^{2}[/tex]:
[tex]sin(\epsilon^2) = \epsilon^2[/tex]
Substituting this approximation into the previous expression, we get:
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) ≈ 1/2 + \epsilon/6 - \epsilon^2[/tex]
Now, we can substitute the value of ε = 0.01 into this expression to get an estimate:
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) ≈ 1/2 + 0.01/6 - 0.01^2[/tex]
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) =0.5108[/tex]
Therefore, an estimate for sin((π/6 + ε)(1 - ε)) is approximately 0.5108.
To know more about sinx visit:
https://brainly.com/question/1504192
#SPJ1
Related Questions
Find the area of the figure.
Answers
P=$4000; r=9%;t=2 years; A=?
Answers
Answer:
First, if it's a simple interest problem, convert R percent to r a decimal, r = R/100 = 9%/100 = 0.09 per year, then, solving our equation
I = 4000 × 0.09 × 2
I = 4000 × 0.18
I = $720.00
The simple interest accumulated on a principle of $4,000.00 at a rate of 9% per year for 2 years is $720.00.
Hope this helps. (Compound interest will be added if the equation needs it)
I have the 650 students at Westmoreland junior high 80% will attend the field trip how many students will attend the field trip
Answers
Answer:
520
Step-by-step explanation:
So you multiply 650 by 0.8 and you get 520. 0.8 is 80% but in a decimal form.
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 2425 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of the two cars that week? (100 points!)
Answers
Answer:
Step-by-step explanation:
Let's assume that the first car used x gallons of gas during the week, then the second car used (75 - x) gallons of gas because the total gas consumption by both cars is 75 gallons.
The first car's fuel efficiency is 30 miles per gallon, so it traveled (30x) miles during the week.
The second car's fuel efficiency is 35 miles per gallon, so it traveled (35(75 - x)) miles during the week.
The total distance traveled by both cars is given as 2425 miles, so we can set up the equation:
30x + 35(75 - x) = 2425
Expanding the equation:
30x + 2625 - 35x = 2425
Simplifying:
-5x = -200
x = 40
Therefore, the first car used 40 gallons of gas during the week, and the second car used (75 - 40) = 35 gallons of gas during the week.
Answer: Car 1 used 40 gallons and car 2 used 35 gallons.
Step-by-step explanation: In this problem, we will use a system of equations to reach our answer. We can let x be the gallons consumed by the first car, and y be the gallons consumed by the second car(these are both for one particular week only). We know the total consumption of gas is 75 gallons so the gallons consumed by car 1 and car 2 have to add up to 75. We can then create the equation x+y=75. We know that car 1 has an efficiency of 30 miles per gallon and 35 miles per gallon for car 2. The miles produced by x gallons in car 1 can be represented by 30x=# of miles. we can use 35y = # of miles for car 2. We know the combined total of miles from both cars is 2425 so we can make the equation 30x+35y=2425 miles. Now that we have our equations, we can simply solve them to find our answers.
x+y=75
x=75-y Isolating a variable
30x+35y=2425
30(75-y)+35y=2425 Substituting the variable we isolated
2250-30y+35y=2425
2250+5y=2425
5y=175
y=35
x+(35)=75
x=40
y=35 and x=40
Car 1 used 40 gallons and car 2 used 35 gallons.
Hope this helps!
30-year mortgage with an annual interest rate of 4.9%
made a $55,000 down payment on the house.
monthly payment : $1,035
house price : $250,000
total cost after all payments been made: $427,600
question:
Property taxes vary from State to State and City to City, but 1% of the property's appraised value is a good estimate of how much the annual property taxes will be for the property. Assuming Marisa purchased the house for the same price as its appraised value, how much can she expect to pay each year on property taxes?
Answers
Answer:
If the house price is $250,000, then 1% of the appraised value is:
0.01 x $250,000 = $2,500
So Marisa can expect to pay $2,500 in annual property taxes.
Step-by-step explanation:
RIDDLE: Why was the Mathematician Late for Work?
Directions: Find the slope between each pair of points Show all work on a separate sheet of paper. After completing each set, find matching answers. One will have a letter and the other a number. Write the letter in the matching numbered box at the bottom of the page.
SET 2
T. (7, 5) and (10, 9) ______________ 16. (-5, -2) and (9,2)__________
B. (-8, 2) and (-5, -4) ______________ 8. (-10, -6) and (2, -8) _________
H. (2, -2) and (-4, -1) ______________ 3. (-2, 1) and (-8, -7) ___________
S. (-4, 9) and (-11, 7) ______________ 5. (-4, -2) and (-3, 3) ___________
O. (5, -1) and (4, -6) ______________ 14. (-2, -4) and (-7, 6) ___________
SET 3
K. (1, -3) and (2, -3) ______________ 9. (8, -1) and (6, -4) ___________
R. (3, 0) and (-3, 5) ______________ 1. (-11, -6) and (-8, -5) ___________
E. (12, 4) and (8, -2) ______________ 15. (-5, 4) and (-5, 3) ___________
U. (7, -3) and (7, -9) ______________ 12. (-2, -3) and (-5, 9) ___________
O. (3, 1) and (2, 5) ______________ 6. (-3, 8) and (7, 8) ______________
H. (-1, -6) and (-7, -8) ______________ 10. (-5, 3) and (7, -7) __________
TAKE YOUR TIME!!! THIS IS 60 POINTS!
Answers
The slopes of the points are computed below
How to determine the slopes of the pointsThe slope of any two points is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Using the above as a guide, we have the following slopes in set 2
T. Slope = (9-5)/(10-7) = 4/316. Slope = (2-(-2))/(9-(-5)) = 2/7B. Slope = (-4-2)/(-5-(-8)) = -28. Slope = (-8-(-6))/(2-(-10)) = -1/6H. Slope = (-1-(-2))/(-4-2) = -1/63. Slope = (-7-1)/(-8-(-2)) = 4/3S. Slope = (7-9)/(-11-(-4)) = 2/75. Slope = (3-(-2))/(-3-(-4)) = 5O. Slope = (-6-(-1))/(4-5) = 514. Slope = (6-(-4))/(-7-(-2)) = -2For set 3, we have the following slope values
K. Slope = (-3-(-3))/(2-1) = 09. Slope = (-4-(-1))/(6-8) = 3/2R. Slope = (5-0)/(-3-3) = -5/61. Slope = (-5-(-6))/(-8-(-11)) = 1/3E. Slope = (-2-4)/(8-12) = 3/215. The slope is undefined U. The slope is undefined 12. Slope = (9-(-3))/(-5-(-2)) = -4O. Slope = (5-1)/(2-3) = -46. Slope = (8-8)/(7-(-3)) = 0H. Slope = (-8-(-6))/(-7-(-1)) = 1/310. Slope = (-7 - 3)/(7 - (-5)) = -5/6Read more about slope at
https://brainly.com/question/29135291
#SPJ1
look at the triangles below. Choose true or false for each of the statements about them. A value of x = 16 results in congruent triangles. A value of x = 27 results in congruent triangles. A value of x = 31 does not result in congruent triangles.
Answers
Answer: Without a visual representation of the triangles, it's difficult to determine whether the statements are true or false.
However, in general, the side lengths of a triangle determine its shape and size. If two triangles have the same side lengths, then they are congruent, meaning they have the same shape and size. Therefore, if the triangles in question have different side lengths for x = 16, x = 27, and x = 31, then it's possible that the statements are either true or false, depending on the specific side lengths.
Without additional information, it's not possible to determine whether the statements are true or false.
Step-by-step explanation:
What is the slope of a line parallel to the y-axis?
Answers
Answer:
The slope of a line parallel to Y-axis is zero.
An 18-inch-wide by 3-foot-deep trench is dug in the ground and a water line with a 3.5 inch outside diameter is placed in the trench. The water line is placed on 6 inches of bedding, and bedding surrounds the pipe to a height of 2.5 inches above the water line. The length of the trench is 500 feet. Determine the volume of excavation needed for the water line.
Answers
Answer: Here you go.
Step-by-step explanation:
To calculate the volume of excavation needed for the water line, we first need to calculate the cross-sectional area of the trench.
The trench has a width of 18 inches and a depth of 3 feet, or 36 inches. So the cross-sectional area of the trench is:
18 inches x 36 inches = 648 square inches
Next, we need to subtract the cross-sectional area of the water line from the cross-sectional area of the trench to get the area of the excavation. The water line has a 3.5 inch outside diameter, so the radius is 1.75 inches. The cross-sectional area of the water line is:
π x (1.75 inches)^2 = 9.62 square inches
The area of the excavation is therefore:
648 square inches - 9.62 square inches = 638.38 square inches
To convert square inches to cubic feet, we need to multiply by the length of the trench in feet. The length of the trench is 500 feet. So the volume of excavation needed for the water line is:
638.38 square inches x 500 feet = 1,909,140 cubic inches
To convert cubic inches to cubic feet, we divide by 12^3 (12 inches per foot, cubed):
1,909,140 cubic inches ÷ (12 x 12 x 12) = 11.04 cubic feet
Therefore, the volume of excavation needed for the water line is approximately 11.04 cubic feet.
Class A: 87, 93, 96, 88, 92, 90, 100, 93, 91, 96
Class B: 72, 69, 54, 66, 63, 74, 59, 64, 70, 68
1. Find the mean, median, and mode for class A
Mean
Median
Mode
2. Find the mean, median, and mode for class B
Mean
Median
Mode
Answers
Answer:
Class A: 87, 93, 96, 88, 92, 90, 100, 93, 91, 96
Mean: 92.6
Median: 92.5
Mode: 93 and 96
Class B: 72, 69, 54, 66, 63, 74, 59, 64, 70, 68
Mean: 65.9
Median: 67
Mode: No mode or 0
Step-by-step explanation:
You're welcome.
Wickers Restoration Services had the following transactions on May.
Received $48,000 from sale of common stock.
Paid rent on office for the month, $880.
Purchased supplies on account, $1,750.
Earned fees, receiving cash, $12,600.
Paid creditor on account, $1,000.
Paid automobile expenses for month, $375, and miscellaneous expenses, $250.
Paid office salaries for the month, $3,900.
Earned fees that the customer will pay next month, $2,400.
Determined that the cost of supplies used was $280.
Paid dividends, $2,400.
Question Content Area
a. Prepare the journal entries for the above transactions on May. If an amount box does not require an entry, leave it blank.
Answers
The journal entries for the aforementioned transactions in May are as follows:
1. a $48,000 profit from the selling of ordinary stock:
Cash 48,000
Stock 48,000
2. Paid $880 in rent for the office for the month:
Rent Expense 880
Cash 880
3. $1,750 worth of supplies were bought on credit:
Supplies 1,750
Accounts Payable 1,750
4. Paid fees, cash received, $12,600:
Cash 12,600
Fees Earned 12,600
5. $1,000 creditor account payment:
Accounts Payable 1,000
Cash 1,000
6. Spent $375 in transportation expenses for the month as well as $250 in other expenses:
Automobile Expense 375
Miscellaneous Expense 250
Cash 625
7. $3,900 in office salaries were paid for the month:
Salaries Expense 3,900
Cash 3,900
8. $2,400 in earned fees that the client will pay the next month:
Accounts Receivable 2,400
Fees Earned 2,400
9. determined that the $280 cost of the supplies used:
Supplies Expense 280
Supplies 280
10. Dividends paid, $2,400:
Retained Earnings 2,400
Cash 2,400
To know more about Journal Entries visit:
https://brainly.com/question/14531346
#SPJ1
A baseball team plays in a stadium that holds 58,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000.
Answers
the ticket price needs to be lowered by approximately $8.33 in order to fill all seats in the stadium.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, A baseball team plays in a stadium that holds 58,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000.
Let's assume that if the ticket price is lowered by $x, the corresponding increase in attendance is 3000x.
Then, if the ticket price is lowered by $x, the new attendance will be:
33,000 + 3000x
We want to find the ticket price that will result in full capacity, which is 58,000 spectators.
So, we can set the new attendance equal to 58,000 and solve for x:
33,000 + 3000x = 58,000
3000x = 25,000
x = 25,000/3000
x ≈ 8.33
Therefore, the ticket price needs to be lowered by $8.33 to $1.67 in order to fill all seats in the stadium.
Learn more about proportionalities here:
https://brainly.com/question/3254974
#SPJ1
Complete question:
A baseball team plays in a stadium that holds 58,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. how much ticket price to be lowered so that all seats will be full?
Can someone explain/help me with this problem?
Answers
1. The finance charge on the loan is $9,920.
2. The total deferred payment price of the airplane is $39,120.
What is the finance charge on the loan?To find the finance charge on the loan, we need to first determine the amount financed. George Bell made a 15% down payment on the airplane, so the amount financed is:
= $29,200 - (0.15)($29,200)
= $29,200 - $4,380
= $24,820
The total amount of payments made over the life of the loan is:
= $579/month x 60 months
= $34,740
The finance charge on the loan is:
= $34,740 - $24,820
= $9,920.
What is the total deferred payment price of the airplane?The total deferred payment price of the airplane is the sum of the down payment and the total amount of payments made over the life of the loan. The down payment is 15% of the purchase price which is:
= 0.15 * $29,200
= $4,380
The total amount of payments made over the life of the loan is:
= $579/month * 60 months
= $34,740
The total deferred payment price of the airplane is:
= $4,380 + $34,740
= $39,120.
Read more about loan
brainly.com/question/20688650
#SPJ1
Use all the numbers below and use addition, subtraction, multiplication and/or division, and find an expression that
equals the target number. The target number is -2. The numbers provided are -1, -3, -5, -7, and -2
Answers
Answer: One possible expression that equals the target number (-2) using the given numbers (-1, -3, -5, -7, and -2) and basic arithmetic operations (+, -, *, /) is:
-3 * (-5) + (-7) - (-2) / (-1) = -2
Explanation:
-3 * (-5) = 15 (multiplication of -3 and -5 gives +15)
-7 - (-2) = -5 (subtracting a negative is the same as adding a positive, so -7 - (-2) = -7 + 2 = -5)
-2 / (-1) = 2 (dividing a negative number by a negative number gives a positive result, so -2 / (-1) = 2)
Therefore, 15 + (-5) + 2 = -2
Step-by-step explanation:
Suppose you are a (junk) bond broker who buys only bonds that have a 50% chance of default. You want a portfolio with at least five bonds that do not default. You can dispose of the other bonds in the portfolio with no great loss. What is the smallest number of bonds you should buy if you want to be at least 97% sure that five or more bonds will not default?
Answers
Answer:
We should buy at least 19 bonds to have at least a 97% chance of getting 5 or more bonds that do not default.
Step-by-step explanation:
This problem can be solved using the binomial distribution, which can tell us the probability of getting a certain number of successes in a given number of trials, each with a certain probability of success. In this case, the trials are the bonds, the probability of success is 50% (the chance that a bond will not default), and we want to know how many bonds we need to buy to have at least a 97% chance of getting 5 or more successes.
Let X be the number of bonds that do not default. We want to find the smallest value of n (the total number of bonds we buy) such that P(X ≥ 5) ≥ 0.97.
Using the binomial distribution, we can calculate that the probability of getting exactly k successes out of n trials with a probability p of success is:
P(X = k) = (n choose k) * p^k * (1 - p)^(n-k)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of n without regard to order.
To find P(X ≥ 5), we can calculate the probabilities of getting 5, 6, 7, 8, 9, or 10 successes and add them up:
P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)
We want this probability to be at least 0.97, so we can set up the following inequality:
P(X ≥ 5) ≥ 0.97
P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) ≥ 0.97
We can then use a spreadsheet or a binomial probability table to find the smallest value of n that satisfies this inequality. For example, using Excel's BINOM.DIST function, we can enter the following formula in a cell:
=BINOM.DIST(4,n,0.5,TRUE) + BINOM.DIST(5,n,0.5,TRUE) + BINOM.DIST(6,n,0.5,TRUE) + BINOM.DIST(7,n,0.5,TRUE) + BINOM.DIST(8,n,0.5,TRUE) + BINOM.DIST(9,n,0.5,TRUE) + BINOM.DIST(10,n,0.5,TRUE)
where n is the number of bonds we want to buy, and TRUE indicates that we want to calculate the cumulative distribution function (CDF) up to the given value of k.
We can then use Excel's Goal Seek tool to find the smallest value of n that makes this formula equal to 0.97. For example, if we set the target value to 0.97 and the "Set cell" to the formula cell, and we vary the "To value" of n, Goal Seek finds that the smallest value of n that satisfies the inequality is 19. Therefore, we should buy at least 19 bonds to have at least a 97% chance of getting 5 or more bonds that do not default.
The scale drawing has a scale of 1 inch:9yards. What is the total area of the composite figure.
The figure is a right triangle with a height of 6 in and the height of 6 inches. The rectangle has a length of 7 inches and a width of 6 inches.
How do you solve?
Answers
The total area of the composite figure is 107/216 square yards.
What is Area?
Area is a measure of the size of a two-dimensional shape or surface. It is the amount of space inside the boundaries of a flat object, measured in square units such as square meters, square feet, or square inches.
To find the total area of the composite figure, we need to first convert the dimensions from inches to yards, since the given scale is in inches per yards.
Since 1 yard is equal to 3 feet, which is equal to 36 inches, we have:
The height of the triangle is 6/36 = 1/6 yards.
The base of the triangle is 9 times the height, which is 9/6 = 3/2 yards.
The length of the rectangle is 7/9 yards.
The width of the rectangle is 6/9 = 2/3 yards.
The area of the triangle is:
(1/2) x (1/6) x (3/2) = 1/8 square yards.
The area of the rectangle is:
(7/9) x (2/3) = 14/27 square yards.
Therefore, the total area of the composite figure is:
1/8 + 14/27 = 107/216 square yards.
To learn more about Area from the given link
https://brainly.com/question/25292087
#SPJ1
QUESTION 7
Consider the following argument: If Russia invades the Ukraine, America will impose trade sanctions upon Russia. Russia
invades the Ukraine. So American will impose trade sanctions upon Russia. What is the logical form of this argument?
O a. Modus Tollens
O b. Disjunctive Syllogism
O c. Hypothetical Syllogism
O d. Affirming the consequent
O e. Modus Ponens
Answers
The logical form of this argument in " If Russia invades the Ukraine, America will impose trade sanctions upon Russia" is c. Hypothetical Syllogism.
What is Hypothetical Syllogism?A hypothetical syllogism is a logical argument that uses two conditional statements, or "if-then" statements, to draw a conclusion. The general form of a hypothetical syllogism is:
If A is true, then B is true.
If B is true, then C is true.
Therefore, if A is true, then C is true.
Here's an example of a hypothetical syllogism:
If it rains, then the ground is wet.
If the ground is wet, then the grass is slippery.
Therefore, if it rains, then the grass is slippery.
Therefore, option C is correct.
Learn more about argument at:
https://brainly.com/question/3775579
#SPJ1
How much larger is a great white shark than a horn shark how many bamboo sharks would that equal
Answers
Answer: A great white shark can grow up to 20 feet in length, while a horn shark can grow up to 3 feet in length. Therefore, a great white shark is 17 feet larger than a horn shark.
Bamboo sharks can grow up to 5 feet in length. Therefore, to equal the length of a great white shark, you would need 4 bamboo sharks (since 4 x 5 = 20).
Step-by-step explanation:
A football player is running straight down the sideline towards the goal line at 8m/s. As he cross the 50-yard line, a defensive player 13.7m inside is running to catch him. At what velocity must the defensive player run in Order to catch the man with the ball before he scores
Answers
oh my God cr7 ans messi are running
how to solve 10-[p+3] when p=7
Answers
Answer:
0
Step-by-step explanation:
plug in 7 for "P"
so 10 - [7+3]
solve the inside first, which is 10, therefore 10-[10] leaving you with no solution or 0 as answer
Homework: 1. The cost of 4 cartons of milk is $12. What's the unit price? Ratio $12:4 cartons of milk
Answers
The answer is $3 per carton
Probability and Stats: Suppose a group of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding. When these same proposals were submitted to a second independent panel of experts, the decision to fund was reverse in 74 % of the cases. If the probability that a proposal is judged worth of funding by the first panel is 22 %, what is the probability that a worthy proposal is disapproved by both panels?
Answers
Answer: Let's define the events:
A: a proposal is judged worthy of funding by the first panel
B: the decision to fund a proposal is reversed by the second panel
We want to find the probability of the intersection of events A and B (i.e., a worthy proposal is disapproved by both panels). We can use the formula:
P(A and B) = P(B|A) * P(A)
We know that P(A) = 0.22 (the probability that a proposal is judged worthy of funding by the first panel). We also know that when a proposal is judged worthy of funding by the first panel, the probability that the decision to fund is reversed by the second panel is 0.74 (i.e., P(B|A) = 0.74).
Plugging in these values, we get:
P(A and B) = 0.74 * 0.22 = 0.1628
Therefore, the probability that a worthy proposal is disapproved by both panels is 0.1628, or approximately 16.28%.
Step-by-step explanation:
-3
21V
0
-1 1 3
-2
zoom in
X
*REQUIRED 1
4. Vocabulary: Identify the vertex of the
parabola.
O (2,0)
) r = 0
Oy=3x-2
Oy=0
O(-2,0)
(0,-4)
Answers
The vertex of the parabola is ( 0, -4). The correct option is F.
What is a vertex of parabola?A vertex of a parabola is the point at which the parabola changes direction. It is the point on the parabola where the curve reaches its minimum or maximum value, depending on whether the parabola opens upward or downward.
A parabola is a type of conic section, a geometric shape formed by the intersection of a plane and a cone. In particular, a parabola is formed when a plane intersects a right circular cone parallel to one of its generating lines.
From the given graph the vertex of the parabola is,
Vertex = ( 0, -4 )
Therefore, the vertex is (0,-4).
To know more about the vertex of the parabola follow
https://brainly.com/question/25651698
#SPJ1
i can’t get this question
Answers
Answer:
19
y = 6x - 11 it says the input is 5 so you input 5 as x
y = 6(5) - 11
y = 30 - 11
y = 19
theodore goes to a baseball game and buys 3 water that cost x dollars each and a bag of popcorn for $4.50 write an expression in simplest form that reprsent the total amount if money therdore spent
What is the error 3x+4.50x
7.50 x
the experssion to find the total amount of money theodore is spent 7.50x
Answers
The answer to this question is as follows It's vital to keep in mind that equation while this is the same phrase you used, the x only applies to the cost of the water and not the cost of the popcorn.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The formula to calculate Theodore's overall spending is:
3x + 4.50
This is due to the fact that he purchased three waters at a cost of x each, for a total cost of x, and a bag of popcorn at a cost of $4.50. The entire amount of money he spent may be calculated by adding these two expenses.
By condensing the formula 3x + 4.50, we obtain:
7.50x
It's vital to keep in mind that while this is the same phrase you used, the x only applies to the cost of the water and not the cost of the popcorn.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Describe how to solve 3-7n=27
Answers
Answer:
n = -24/7
Step-by-step explanation:
3 -7n = 27
-7n = 24 Subtract 3 from both sides
n = -24/7 Divided by -7 both sides
So, the answer is n = -24/7
Answer:
Below
Step-by-step explanation:
Subtract 3 from both sides of the equation THEN divide both sides of the equation by - 7
2.1.1 How many packets of patties should she buy? 2.1.2 Julia calculates that if she buys 42 packets of patties, there will be a leftover of 4 patties. Justify her answer by showing all the necessary calculations. 2.2.1 Julia also sells cold drinks for the school function. A 2litre bottle of orange juice costs R18,95. A 1,5 litre bottle of cola costs R14.50. Two learners John and Peter had the following argument: John says buying a 2litre bottle of orange juice is much cheaper than buying 1.5litre butte of cola. Who is correct? Verify your answer by giving all the necessary calculations (5 (5)
Answers
Therefore, John is incorrect, as buying a 2-liter bottle of orange juice is actually slightly more expensive per liter than buying a 1.5-liter bottle of cola.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
2.1.1 To determine how many packets of patties Julia should buy, we need to know the total number of patties needed for the school function. Let's assume that each person will eat one patty.
If there are 300 people attending the function, then Julia needs to buy:
300 x 1 = 300 patties
Each packet of patties contains 12 patties, so the number of packets needed can be calculated as follows:
300 patties ÷ 12 patties/packet = 25 packets
Therefore, Julia should buy 25 packets of patties.
2.1.2 To justify Julia's calculation, we can use algebra. Let's assume that the number of packets of patties she buys is x. We know that there are 12 patties in each packet, so the total number of patties is 12x. We also know that if she buys 42 packets, there will be a leftover of 4 patties.
This can be represented as the following equation:
12x + 4 = 42 x 12
Simplifying this equation:
12x = 500 - 4 = 496
x = 496/12 = 41.33 (rounded to two decimal places)
Since we can't buy a fractional number of packets, Julia would need to buy 42 packets of patties. This would give her a total of:
12 x 42 = 504 patties
She would then have 4 leftover patties, as calculated earlier. Therefore, Julia's calculation is correct.
2.2.1 To determine whether buying a 2-liter bottle of orange juice is cheaper than buying a 1.5-liter bottle of cola, we need to compare the price per liter of each drink.
For orange juice, the price per liter is:
R18.95 ÷ 2 liters = R9.475/liter
For cola, the price per liter is:
R14.50 ÷ 1.5 liters = R9.67/liter
To know more about equation,
https://brainly.com/question/2228446
#SPJ9
A store manager instructs some new trainees that a ladder priced at $21 winds up costing a customer $22.05 once the sales tax is included. What is the sales tax percentage?
Answers
Answer:
0.05%
Step-by-step explanation:
7.All angles are right angles. Solve for x in the given Rectangle. 5 in x = x. 12 in
8. it says AC not AS
Answers
The length of the diagonal of the rectangle is AC = 17.69 units
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the rectangle be represented as ABCD
Now , the measure of side AB = 12 units
The measure of side BC = 13 units
Let the length be BC and the width be AB
where the diagonal of the rectangle is AC
Now , Diagonal of a Rectangle = √ ( Length )² + ( Width )²
On simplifying , we get
The diagonal of the rectangle AC = √ ( 12 )² + ( 13 )²
The diagonal of the rectangle AC = √ ( 144 + 169 )
The diagonal of the rectangle AC = √313
The diagonal of the rectangle AC = 17.69 units
Hence , the diagonal of the rectangle is 17.69 units
To learn more about diagonal of the rectangle click :
https://brainly.com/question/13583275
#SPJ1
What is the probability of someone pulling 1-10 in consecutive order from a bad that contains 10 balls labeled 1-10?
Answers
The probability of someone pulling 1-10 in consecutive order from a bad that contains 10 balls labelled 1-10 is 1/3628800.
What is meant by probability?An event's probability is a numerical representation of how likely it is that the event will take place. In mathematical notation, it is written as a number between 0 and 1, or as a percentage between 0% and 100%. The higher an event's probability, the more likely it is to occur.
In a sample space, there is a probability of 1 for each event. The probability formula states that the ratio between the number of favourable outcomes and the total number of outcomes determines the likelihood that an event will occur. Sets are used in the terminology of probability theory. A set is a grouping of various things.
It is said that there are 10 balls in a bag, labelled 1-10.
Now,
The number of ways the ball labelled 1 is picked is 1
The number of ways the ball labelled 2 is picked is 2
So the number of ways a ball labelled certain number is picked is 1.
Now there is no replacement.
So the total number of balls decreases by 1 when 1 ball is taken.
Then,
The probability of choosing the ball numbered 1 = 1/10
The probability of choosing 2 = 1/9
The probability of choosing 3 = 1/8
.
.
.
the probability of choosing 10 = 1
Total probability of choosing the balls in consecutive order = 1/10 * 1/9 * 1/8 *.......* 1/2*1/1 = 1/10! = 1/3628800.
Therefore the probability of someone pulling 1-10 in consecutive order from a bad that contains 10 balls labelled 1-10 is 1/3628800.
To learn more about probability, follow the link.
brainly.com/question/24756209
#SPJ1