Answer:
0.0166666666666666666666666666666666666666666667
Step-by-step explanation:
USE CALCULATORRRRRR
find the slope of a line perpendicular to each given line.
y= -2x -2
Answer:
Using the slope-intercept form, the slope is −2 .
Step-by-step explanation:
Step-by-step explanation:
solution
Equation of line,
y=-2x-2
2x+y=2 - - - - - - -1
Now,
slope of line,
m= -x coefficient/ y coefficient
= -2/1
= -2
Slope of required line which is perpendicular to the line
m.m = -1
-2.m = -1
m = -1/-2
m =1/2
Can someone help me please? Thank you
Answer:
1. 6/18 = 1/3
9/21 = 3/7
2. 4/6 = 2/3
2/4 = 1/2
3. 6/12 = 1/2
8/12 = 2/3
4. 2/8 = 1/4
3/6 = 1/2
5. 7/21 = 1/3
8/10 = 4/5
6. 9/12 = 3/4
12/20 = 3/5
7. 8/16 = 1/2
10/25 = 2/5
Two customers spent the same total amount of money at a restaurant.
- The first customer bought 8 hot wings and left a $4 tip.
- The second customer bought 10 hot wings and left a $2.80 tip.
- Both customers paid the same amount per hot wing.
How much does one hot wing cost at this restaurant in dollars and cents?
One hot wing costs 60 cents at this restaurant.
What are unknown variables?A variable in an equation that has to be solved for is known as an unknown.
A polynomial or formal power series may contain an indeterminate symbol, often known as a variable. In the polynomial ring or the ring of formal power series, an indeterminate is a constant rather than a variable. Nonetheless, many writers view indeterminates as a distinct class of variables because of the close connection between polynomials or power series and the functions that they describe.
Let's us assume that the cost of one hot wing is x dollars.
Then,
Total amount spent by each customer:
8x + 4 = 10x + 2.8
8x - 10x = 2.8 - 4
-2x = -1.2
x = 0.6
Therefore, one hot wing costs 60 cents at this restaurant.
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O.5% as a fraction and decimal
Answer: As a fraction: 1/2
As a decimal: 0.005
Step-by-step explanation:
FRACTION:
To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.
DECIMAL:
0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.
Which retirement plan(s) is not managed by the U.S. government?
1. Fixed Annuity
II. Traditional IRA
III. Roth IRA
IV. Social Security
A. I, IV
B. II, III
C. I, III, IV
D. I, II, III
Answer:
I’m pretty sure 3
Step-by-step explanation:
Answer:
D. I, II, III
Step-by-step explanation:
Social security is the only plan managed by the government
If you invest $5,000 and after some time you receive $5,600, how much is the interest earned?
Answer:
The interest earned would be $600.
To calculate this, you would subtract the initial investment from the final amount:
$5,600 - $5,000 = $600.
Therefore, the interest earned is $600.
NONE OF THE APPS WORK BRO
Answer:
1 term (monomial).
Step-by-step explanation:
A term includes at least either a number, a variable, or both together, and can have more than one.
In this case, there is 1 term, which denotes that a variable, has an exponent of 9.
[tex]b^9[/tex] is one term.
Examples of more than 1 term can include:
[tex]b^9 + 1[/tex] , which is two terms (Binomial).
[tex]a^2 + b + 3[/tex] is three terms (Trinomial).
* One thing to note is to always simplify when possible.
~
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Given that cos Ø= 2/5 determine the exact value of csc Ø
Answer:
below
Step-by-step explanation:
Given cos, you will have to use this to calculate sin because csc is 1/ sin
Remember cos^2 + sin^2 = 1
(2/5)^2 + sin^2 = 1
sin^2 = 21/25
sin = sqrt (21) / 5 (ignoring negative root)
csc = 1/sin = 5 / sqrt(21)
Drag the descriptions of each investment in order from which will earn the least simple interest to which will earn the most simple interest of 2000
1) investment of 2000 at 10% simple interest for 9 years
2) investment of 2000 at 3% simple interest for 20 years
3) investment of 2000 at 10% simple interest for 3 years
The response to the given question would be that Because it has a interest higher interest rate and a longer term than option 3, option 1 would generate the greatest interest.
what is interest ?By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The interest rate of the loan is defined as this ratio.
The following would be the order of 2000 simple interest generated on an investment, from least to most:
2000 invested for 20 years at 3% simple interest
2000 invested for three years at 10% simple interest
2000 invested at 10% simple interest for nine years
Because of its longer length and lower interest rate than the other two alternatives, Option 2 would yield the least amount of interest.
Due to its higher interest rate and longer period, option 3 would generate more interest than option 2.
Because it has a higher interest rate and a longer term than option 3, option 1 would generate the greatest interest.
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12a^4+ (-29a^4) simplify
Answer: -17a^4
Step-by-step explanation:
Combine like terms
12a^4 +(-29a^4)
(12a^4-12a^4) - (29a^4-12a^4) =
-17a^4
Hope this helps
Find the slope of the line shown below?
Find volume of triangular prism
I don’t know how to solve I know u use a b c base side and height but I don’t know which is each?
Explanation:
The front and back faces are triangles. They have a base of 10 ft and height of 4 ft.
area of triangular face = 0.5*base*height area = 0.5*10*4area = 20The front face has area 20 sq ft. The same applies for the back face as well.
Now imagine rotating the prism so that the front face is now laying on the floor. The floor and ceiling are triangles. Each wall is a rectangle.
volume of prism = (floor area)*(height)volume = (20 sq ft)*(5.5 ft)volume = 110 cubic feetAnswer: 110 ft^3
Step-by-step explanation:
Base is 10ft
Height is 4ft (distance from base to uppermost point)
0.5*10*4=20
20*5.5 (length)=110
Please help me PLEASE HELPOP
Given - The expression as
[tex]\frac{3.07+2^4}{5.03-1.79}[/tex]
To find - the solution of the expression
Explanation To simplify the expression, we will simply the terms in the expression
[tex]\frac{3.07+2^4}{5.03-1.79} =\frac{3.07+16}{3.24} =5.885[/tex]
Hence the value of the expression is 5.885
Final answer- The value is 5.885
A college professor randomly selects 10 of the 28 students in his statistics class and finds that
8 of them have part-time jobs in addition to being a full-time student.
He would like to construct a 90% confidence interval for the true proportion of students in his class who have part-time jobs in addition to being a full-time student.
Random condition:
✔ met
10% condition:
✔ not met
Large counts condition:
✔ not met
Are the conditions for inference met?
✔ no
(No one asked the question nor provided an answer, so here yous go FOR !!!!!EDGE2023!!!!!!!)
Answer:im confused
Step-by-step explanation:
Random condition:
✔ met
10% condition:
✔ not met
Large counts condition:
✔ not met
Are the conditions for inference met?
✔ no
Elena is selling tickets to a school play.she sells the tickets for $50 each.her goal is to raise more than $180 selling the tickets.she wants to know how many tickets she can sell to meet her goal
Answer:
15 + t = greather than 180
Step-by-step explanation:
Last year Amber went to gymnastics classes 21 days every month. This year she only went 19 days a month. How many more days did she go to gymnastics class last year than this year?
Answer:
Step-by-step explanation:
If you know how to subtract which you should the answer is 2.
How many more means subtraction.
Hope that is helpful!
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 1375 miles, for a total gas consumption of 45 gallons. How many gallons were consumed by each of
the two cars that week?
Answer:
Step-by-step explanation:
Let's call the number of gallons of gas consumed by the first car "x" and the number of gallons of gas consumed by the second car "y". We can set up a system of two equations to represent the information given in the problem:
x + y = 45 (equation 1: total gas consumption is 45 gallons)
35x + 25y = 1375 (equation 2: total distance traveled is 1375 miles)
To solve for x and y, we can use the first equation to solve for one variable in terms of the other. For example, we can solve for y as:
y = 45 - x
We can then substitute this expression for y into the second equation, and simplify:
35x + 25(45 - x) = 1375
35x + 1125 - 25x = 1375
10x = 250
x = 25
So the first car consumed 25 gallons of gas that week. We can substitute this value into equation 1 to find the number of gallons consumed by the second car:
25 + y = 45
y = 20
Therefore, the second car consumed 20 gallons of gas that week.
Determine what two whole numbers the radical is located between.
I tried 36 & 49 ?
The square root of 45 lies between the two whole numbers 36 and 49.
What is number?Number is a mathematical object used to count, measure, and label. It is an abstract concept that can be represented in various forms, such as a numeral, a word, or an image. Numbers can be used to represent any quantity, such as a person's age, a distance, a temperature, or a length. They can also be used to represent abstract or intangible concepts, such as a feeling or a thought.
To determine this, we can use a process called the square root algorithm. The first step is to find the largest perfect square that is less than the number you are taking the square root of. In this case, that would be 36. Then, you subtract that perfect square from your number. In this case, you would subtract 36 from 45, leaving you with 9. The next step is to find the two whole numbers that the square root of this difference lies between. Since 9 is the square root of 81, the two numbers that the square root of 9 lies between are 3 and 4. Therefore, the square root of 45 lies between the two whole numbers 36 and 49.
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A 5-yard roll of tape costs $0.30. What is the unit price?
Answer:
$0.06/yrd
Step-by-step explanation:
you want to divide the cost by the amount of units purchased.
.30/5=.06
this would mean your price per unit is 6 cents
A baker weighs some pieces of chocolate before he begins making a recipe. He writes the following weights measured in ounces: 2.6, 2.796, 2.94, 2.29, 2.064. How many ounces did the heaviest piece of chocolate weigh?
Answer:
The heaviest piece of chocolate weighed 2.94 ounces.
Step-by-step explanation:
Archimedes went to sleep beside a big rock. He wanted to get up at 7 77 AM, but the alarm clock was yet to be invented! He decided to sleep at the spot where the rock's shadow should end when it's 7 77 AM so as to be awakened by the direct sunlight. Archimedes knew that at 7 77 AM, the sunlight reaches the ground at an angle of 3 1 ∘ 31 ∘ 31, degrees. The rock beside which he slept was 5 55 meters tall. How far from the rock did Archimedes go to sleep? Round your final answer to the nearest hundredth.
Archimedes went to sleep about 9.24 meters away from the rock where its shadow should end when it was 7 AM.
Trigonometric ratios:Trigonometric ratios are ratios of the sides of a right triangle to its angles. The three primary trigonometric ratios are
Sine = opposite/hypotenuse.
Cosine = adjacent/hypotenuse.
Tangent = opposite/adjacent.
Here we have
Archimedes wanted to get up at 7. AM, but the alarm clock was yet to be invented. Archimedes knew that at 7.AM, the sunlight reaches the ground at an angle of 31°.
The rock beside which he slept was 5.55 meters tall.
Let's assume that the distance from the rock where Archimedes went to sleep is "x".
Form a right triangle where the height of the triangle is the height of the rock (5.55 meters) and the angle between the ground and the sunlight at 7 AM is 31° and the opposite side to that angle is x.
Using trigonometry, we can solve for x as follows
tan(31°) = 5.55 / x
x = 5.55 / tan(31°)
x = 5.55/0.60086
x = 9.24 meters
Therefore,
Archimedes went to sleep about 9.24 meters away from the rock where its shadow should end when it was 7 AM.
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does inequality
2d+20<=120 explain?
The inequality 2d+20<=120 is a valid inequality. It means that some value of d can be substituted into the inequality to make it a true statement.
What is inequality?In mathematics, an inequality is a statement that compares two values and indicates how they are related in terms of magnitude or size. Inequalities use symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to) to show the relationship between the two values.
What is the types of inequality?Linear inequalities: These are inequalities in which the variables have a degree of one. For example, 2x + 3 < 7.Quadratic inequalities: These are inequalities in which the variables have a degree of two. For example, x^2 - 3x + 2 > 0.Rational inequalities: These are inequalities in which the variables appear in the denominator of a rational function. For example, (x + 3)/(x - 2) < 0.Absolute value inequalities: These are inequalities that contain absolute values. For example, |x + 2| < 5.In the given question,
Yes, the inequality 2d+20<=120 is a valid inequality. It means that some value of d can be substituted into the inequality to make it a true statement.
In this case, the inequality is saying that 2 times the value of d plus 20 is less than or equal to 120. To solve for d, we can subtract 20 from both sides to get:
2d <= 100
Then, we can divide both sides by 2 to isolate d:
d <= 50
So the solution to the inequality is that d must be less than or equal to 50 for the inequality to be true.
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round 53.121 nearest half
Therefore , the solution of the given problem of rational comes out to be 53.00 for the given rational number after rounding off.
What precisely are rational numbers?The percentage (not the percentage) of two integers can be used to represent rational numbers. A reasonable fraction is one with a non-zero denominator. Rational values are including 1/2, 1/5, but they also include 3/4. Additionally, "0" could be expression as a real purpose in a variety of forms, including 0/1, 0/2, and 0/3. However, 1/0, 2/0, 3/0, along with others. Seven is a reasonable amount. A rational number can be obtained by dividing two factors.
Here,
Given :
rational number or integer is 53.121
To round it to the nearest half so ,
According to rounding off the integer , we can round off to 54 when it is 53.5 or above .
But since it is below than that
We get answer as 53.00 for the given rational number after rounding off.
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The school parking lot has 6 rows of parking spaces.
There are also 35 parking spaces on the side of the
building for staff members. There is space for at
most 155 cars in these lots combined. Write an
inequality to represent the total number of cars
that will fit in the spaces at school. Then complete
the sentence.
The total number of cars that will fit in the spaces at school is less than or equal to 155, which means that the combined number of parking spaces in the parking lot and on the side of the building cannot exceed 155.
What is expression ?
In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that represents a quantity or a relationship between quantities. Expressions can be as simple as a single number or variable, or they can be complex, involving multiple variables and operations.
Let x be the number of parking spaces in each row of the school parking lot. Then, the total number of parking spaces in the parking lot is 6x.
The total number of parking spaces in the school is the sum of parking spaces in the parking lot and parking spaces on the side of the building, which is 6x + 35.
Since the total number of cars that will fit in the spaces at school is at most 155, we can write the inequality:
6x + 35 ≤ 155
Simplifying this inequality, we get:
6x ≤ 120
x ≤ 20
Therefore, the total number of cars that will fit in the spaces at school is less than or equal to 155, which means that the combined number of parking spaces in the parking lot and on the side of the building cannot exceed 155.
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line n passes through the points (-3, -7.5) and (2, -5). tahlia determined that the equation of line n is y = 0.5x. explain the error tahlia made while determining her equation. be sure to include the correct equation in your explanation
Answer:
Tahlia was correct in remembering that you can find the slope of a line using the slope formula.
She was also correct that the slope is 0.5.
However, if you use the slope-intercept formula y = mx + b, you still have to find b (the y-intercept) by plugging in one of the two points and the slope.
So, if we plug in the first point and the slope into the line, we can find b and thus the full equation of the line:
[tex]-7.5=0.5(-3)+b\\-7.5=-1.5+b\\b=-6\\\\y=0.5x-6[/tex]
The quotient of ten and a number
Answer: 10 / 5 = 2
Step-by-step explanation:
I need help with number 1
Answer:
3,418.32yd³
Step-by-step explanation:
For volume you do the area (8)² multiplied by the height (17). 8 x 8 = 64. 64 x 17 = 1,088. you then multiply 1,088 by 3.14, the π, which is 3,416.32. We are using yards so the end result is 3,418.32yd³.
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The hypotenuse of a right triangle is 54 inches long. Find possible measures for the legs of the triangle.Round to the nearest tenth. Write an argument that can be used to defend your solution.
Using the Pythagorean theorem we know that the rest 2 sides of the given right triangle are 27 inches long.
The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry.
The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.
The side opposite the right angle is always the hypotenuse of a right triangle. In a right triangle, it is the longest side.
So, we know the Pythagorean theorem which is:
H² = a² + b²
We know that:
H² = a² + b²
54² = a² + b²
Suppose that the given right triangle is also an isosceles triangle with the rest of the sides being of the same length. Then,
54/2 = 27
Similarly,
54² = a² + b²
54² = 27² + 27²
Therefore, using the Pythagorean theorem we know that the rest 2 sides of the given right triangle are 27 inches long.
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16. evaluate this equation
We simplify the summation to get:
S₄ = 8*(3ⁿ⁻¹)
How to evaluate the summation?Remember that the large sigma means that we need to add from the lower number to the larger number.
The particular problem here is that "n" is not the index in the summation, so we can't evaluate that variable, we will just have 4 terms (for k = 1 to k = 4) but the variable k does not appear, so we will have 4 times the same term:
S₄ = 2*(3ⁿ⁻¹) + 2*(3ⁿ⁻¹) + 2*(3ⁿ⁻¹) + 2*(3ⁿ⁻¹)
S₄ = 4*2*(3ⁿ⁻¹)
S₄ = 8*(3ⁿ⁻¹)
That is the simplification we can do.
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Find (f ∙ g)(2) when f(x) = and g(x) = x + 9.
Answer: We can start by evaluating g(2):
g(2) = 2 + 9 = 11
Now we can use the definition of function composition to evaluate (f ∙ g)(2):
(f ∙ g)(2) = f(g(2)) = f(11)
To find f(11), we need to substitute 11 for x in the expression for f(x):
f(11) = (11 - 3)^2 + 1 = 8^2 + 1 = 65
Therefore, (f ∙ g)(2) = f(g(2)) = f(11) = 65.
Step-by-step explanation: