Answer:
h(-2) = 13, h(0) = 9, and h(5) = -1.
Step-by-step explanation:
To evaluate h(x) = -2x + 9 for the given values of x, we can substitute each value of x into the expression and simplify:
h(-2) = -2(-2) + 9 = 13
h(0) = -2(0) + 9 = 9
h(5) = -2(5) + 9 = -1
Therefore, h(-2) = 13, h(0) = 9, and h(5) = -1.
The diagram shows a triangle.
36°
31°
W-24°
What is the value of w?
Really will appreciate it
Answer:
w=137°
Step-by-step explanation:
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A linear equation that is equivalent to the equation 0=-7 is a conditional equation.
No, a linear equation that is equivalent to the equation 0=-7 is not a conditional equation. Instead, it is an inconsistent equation.
A conditional equation is an equation that is only true for certain values of the variable. For example, the equation 2x+3=7 is a conditional equation because it is only true when x=2.
An inconsistent equation, on the other hand, is an equation that has no solution. The equation 0=-7 is an example of an inconsistent equation because there is no value of x that will make the equation true.
Therefore, a linear equation that is equivalent to the equation 0=-7 is an inconsistent equation, not a conditional equation.
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Our local movie theater polls its customers about their favorite candy to eat during the movie. Name each sampling method described.
a. Employees ask every 45th customer that purchases a movie ticket:
b. An employee divides the theater into sections: left, right, front, back. He/she randomly chooses a section and polls every customer within that section:
The sampling method of (a) is systematic sampling, and (b) is cluster sampling.
What is the sampling method?It is an advanced form of simple random sampling. In this form, from the population of members, sample members are selected randomly. In this random selection, a starting point is fixed. The sample is created when the members are selected from the fixed intervals.
a. The sampling method described is systematic sampling, where every 45th customer that purchases a movie ticket is selected for the survey.
b. The sampling method described is cluster sampling, where the theater is divided into sections (clusters) and one cluster is randomly selected for the survey. Then, every customer within that cluster is polled.
Therefore, the sampling method of (a) is systematic sampling, and (b) is cluster sampling.
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Since a line passes through the origin, the equation is in the form y=ax. Since the graph passes through the point (1,3), if we substitute x=1 and y=3 into y=ax, then what does a equal
When the point (1, 3) is substituted in the equation y = ax, then 'a' i,e slope of the line is 3
Equation of the line passes through origin:If a line passes through the origin, its equation can be written in the form y = mx, where m is the slope of the line.
The slope of a line passing through the origin is the ratio of the change in y to the change in x between any two points on the line.
Here we have
A line passes through the origin, the equation is in the form y = ax
Given that y = ax passes throgh (1, 3)
So substitute x = 1 and y = 3
=> 3 = a(1)
=> a = 3/1
=> a = 3
Therefore,
When the point (1, 3) is substituted in the equation y = ax, then 'a' i,e slope of the line is 3.
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Are the ratios 3:6 and 2:4 equivalent? ) yes no
Answer:
Yes, the ratios 3:6 and 2:4 are equivalent because they represent the same proportion. To confirm, we can simplify both ratios to their simplest form:
3:6 can be simplified by dividing both terms by 3: 3/3 : 6/3 -> 1:2
2:4 can be simplified by dividing both terms by 2: 2/2 : 4/2 -> 1:2
Since both ratios simplify to the same ratio, 1:2, they are equivalent.
Answer: yes !!
Step-by-step explanation: 3:6 and 2:4 are equivalent b/c of their common factors.
Match the expression to the exponent rule. One rule will not be used.
Answer:
Step-by-step explanation:
from top down:
xᵃ⁻ᵇ
xᵃ⁺ᵇ
1
xᵃˣᵇ
1/xᵃ
If f(x) = 3x² + 2x - 10, what is f(2)?
Answer:
f(2)=3x²+2x-10
f(2)=3(2)² +2(2)-10
=12+4-10
=6
You select a star without looking and then put it back. If you do this 16 times, what is the prediction for the number of times you will pick a star that is not yellow?
The predictiοn fοr the number οf times yοu will pick a star that is nοt yellοw is 0.999.
What is the prοbability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
Assuming that the stars cοme in οnly three cοlοrs (yellοw, red, and blue), and each cοlοr has an equal chance οf being selected, then the prοbability οf picking a star that is nοt yellοw is 2/3, and the prοbability οf picking a yellοw star is 1/3.
If we dο this experiment 16 times, we can use the binοmial prοbability fοrmula tο find the prοbability οf picking a nοn-yellοw star a certain number οf times:
[tex]\mathrm{P(x) = (n \ choose \ x) \times ^x \times (1-p)^{(n-x)}}[/tex]
where n is the number οf trials, x is the number οf times we want tο pick a nοn-yellοw star, p is the prοbability οf picking a nοn-yellοw star (2/3), and (1-p) is the prοbability οf picking a yellοw star (1/3).
Using this fοrmula, we can calculate the prοbability οf picking a nοn-yellοw star exactly 1 time, exactly 2 times, and sο οn, up tο 16 times. We can then add up these prοbabilities tο get the οverall prοbability οf picking a nοn-yellοw star at least οnce in 16 trials.
Alternatively, we can use the cοmplement rule tο find the prοbability οf picking a yellοw star in all 16 trials, and subtract this frοm 1 tο get the prοbability οf picking a nοn-yellοw star at least οnce:
P(nοn-yellοw at least οnce) = 1 - P(yellοw in all 16 trials)
= 1 - (1/3)¹⁶
≈ 0.999
Hence, the predictiοn fοr the number οf times yοu will pick a star that is nοt yellοw is 0.999.
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Roxanne brought chocolate and vanilla cupcakes to school for her birthday. 50 students decided to take a cupcake, and 25 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answer:
50%.
Step-by-step explanation:
If 25 students picked vanilla, then it is 50%. This is because 25 is half of 50.
Determine whether the ordered pair is a solution of (5,6) {(x+y=11),(x-y=-1):} No Yes
Yes, the ordered pair (5,6) is a solution of the system of equations {(x+y=11),(x-y=-1):}.
To check if an ordered pair is a solution of a system of equations, we can plug the values of the ordered pair into the equations and see if they are true.
For the first equation, x + y = 11, we can plug in 5 for x and 6 for y:
5 + 6 = 11
This is true, so the ordered pair satisfies the first equation.
For the second equation, x - y = -1, we can again plug in 5 for x and 6 for y:
5 - 6 = -1
This is also true, so the ordered pair satisfies the second equation.
Since the ordered pair satisfies both equations, it is a solution of the system of equations.
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8.53 A random variable X has the normal distribution N(m, o2), where mo e R, if it is an absolutely continuous random variable with density (x - m) fx(x) = exp 202 Verify that fx is indeed a density.
∫fx(x)dx = 1 over the entire range of x, and fx is indeed a density function.
A random variable X has the normal distribution N(m, o^2), where m and o are both real numbers, if it is an absolutely continuous random variable with density fx(x) = (1/√(2πo^2)) * exp(-(x-m)^2/2o^2).
To verify that fx is indeed a density, we need to check that it satisfies the two properties of a density function:
1) fx(x) >= 0 for all x
2) ∫fx(x)dx = 1 over the entire range of x
First, let's check that fx(x) >= 0 for all x. Since the exponential function is always positive, we can see that fx(x) will always be positive as well. Therefore, fx(x) >= 0 for all x.
Next, let's check that ∫fx(x)dx = 1 over the entire range of x. To do this, we need to integrate fx(x) over the entire range of x, which is from -∞ to ∞:
∫fx(x)dx = ∫(1/√(2πo^2)) * exp(-(x-m)^2/2o^2)dx from -∞ to ∞
Using the substitution u = (x-m)/√(2o^2), we can rewrite the integral as:
∫(1/√(2πo^2)) * exp(-u^2/2) * √(2o^2)du from -∞ to ∞
Simplifying, we get:
∫(1/√(2π)) * exp(-u^2/2)du from -∞ to ∞
This integral is equal to 1, as it is the integral of the standard normal density function. Therefore, ∫fx(x)dx = 1 over the entire range of x, and fx is indeed a density function.
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What is the distance between the points (13 , -18) and (-10 , -18) in the coordinate plane?
what is the answer
Answer:
23
Step-by-step explanation:
Need help with the problem
For the number of checks written greater than 42.5, a checking account at Long's Bank will generate more earnings income than one at Fellow's Bank.
What is range of checks?Range of checks refers to a specific interval or set of values within which the number of checks written is included or applicable.
It is usually used in the context of analyzing financial data related to checking accounts, transactions, or other monetary activities.
To find the range of checks for which Long's Bank generates more earnings income than Fellow's Bank, we need to compare the two equations and solve for x.
I(Long's Bank) > I(Fellow's Bank)
-0.06x + 8.3 > -0.02x + 6.6 (Substitute the values of I for both banks)
0.04x > 1.7 (Simplify by combining like terms)
x > 42.5 (Divide both sides by 0.04 and reverse the inequality sign)
For the number of checks written less than or equal to 42.5, a checking account at Fellow's Bank will generate more earnings income.
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Find 3 ratios that are equivalent to the given ratio 7:11
hi, attached is the answer
Hope this helps:)
What is the x-coordinate of the midpoint of line segment AB with points A(13, 5) and B(46, -13).
The x-coordinate of the midpoint of line segment AB is 29.5
What is coordinate?
A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more integers, or coordinates.
To find the x-coordinate of the midpoint of line segment AB, we can use the midpoint formula:
Midpoint x-coordinate = (x-coordinate of A + x-coordinate of B) / 2
We are given the coordinates of points A and B:
A(13, 5) and B(46, -13)
Using the midpoint formula, we can substitute the x-coordinates of A and B into the formula and simplify:
Midpoint x-coordinate = (13 + 46) / 2
= 29.5
Therefore, the x-coordinate of the midpoint of line segment AB is 29.5
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Please use this function machine to answer the following question: If 3 was an input into Bucky's function machine, what would the output be of Badger's function machine?
The output of Badger's function machine when the input is 3.
To find the output of Badger's function machine, we need to first find the output of Bucky's function machine when the input is 3.
1. Input 3 into Bucky's function machine.
2. Follow the instructions on the function machine to find the output.
3. Input the output from Bucky's function machine into Badger's function machine.
4. Follow the instructions on Badger's function machine to find the final output.
Without knowing the specific instructions on the function machines, it is impossible to give a specific answer.
However, by following these steps, you can find the output of Badger's function machine when the input is 3.
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To thank her five volunteers, Mai gave each of them the same number of stickers. Then she gave them each two more stickers. Altogether, she gave them a total of 30 stickers.
"explain plsss"
Answer:
30 = 2x + 4
Step-by-step explanation:
2x5= 10
30- 10 = 20
20/5= 4
4+2 = 6
Mei gave each student 6 stickers
Please help me on this question
Answer:
C) 84 mm squared
Step-by-step explanation:
The formula for finding area of a triangle is 1/2 times base times height, so substitute and solve for the answer
1/2 times 8 times 21
4 times 21
84
Ou roll a number cube. Determine the theoretical probability of the event. Rolling a 8
On a roll of a number cube, the theoretical probability of the event of rolling a 8 is 0.
The Theoretical Probability is defined as the likelihood of an event occurring based on all possible outcomes in a given situation.
The theoretical probability is determined by dividing the number of ways the event can occur by the total number of possible outcomes.
The theoretical probability of rolling a specific number on a fair, six-sided number cube is 1/6, because there are 6 equally likely outcomes which are the numbers 1 to 6,
So, the theoretical probability of rolling an 8 on a number cube is 0 or 0%, because an 8 is not one of the possible outcomes when rolling a standard, six-sided number cube.
Therefore, the required probability is 0.
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Solve for w |w|-20=-13 If there is more than one solution, If there is no solution, click on "No
w |w|-20=-13
w = 7 and w = -33
A. For this equation, we have to solve for the absolute value of w.
An absolute value equation can be thought of as two equations in one, so we need to solve for both cases.
B.
Case 1: w > 0
w - 20 = -13
w = 7
Case 2: w < 0
w + 20 = -13
w = -33
Therefore, the solution to this absolute value equation is w = 7 and w = -33.
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A small company has the marketing information that 35 units will sell daily at a price of $34.75 per unit, and that sales will rise to 36 units per day at a price of $33.06 per unit. Use this information to create a linear demand function, then create the associated revenue function and find the price that will yield the maximum revenue.
The linear demand function is given by Q = -1.09P + 76.4, the revenue function is R = -1.09P^2 + 76.4P, and the price that yields maximum revenue is $34.95.
To create the linear demand function, we use the two points given: (35, 34.75) and (36, 33.06). We can find the slope of the line between these two points using the slope formula: (33.06 - 34.75)/(36 - 35) = -1.69. This slope represents the change in quantity demanded per dollar change in price. To find the intercept, we can use either of the points and solve for it: 35 = -1.69(34.75) + b, giving us b = 131.15. Thus, the demand function is Q = -1.69P + 131.15, which we can simplify to Q = -1.09P + 76.4.
To find the revenue function, we multiply the demand function by the price: R = P(Q) = P(-1.09P + 76.4) = -1.09P^2 + 76.4P. To find the price that yields maximum revenue, we can take the derivative of the revenue function with respect to price and set it equal to zero: dR/dP = -2.18P + 76.4 = 0, giving us P = $34.95. Therefore, the price that yields maximum revenue is $34.95.
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12. In a library, 50% of total number of books is of Marathi. The books of English are 3 1 rd of Marathi books. The books on mathematics are 25% of the English books. The remaining 560 books are of other subjects. What is the total number of books in the library?
Total number of books in the library 1920
What is linear equation in one variable ?The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Let the total number of books be x
50 % of the total books are of Marathi = x*50/100 = x/2
Books of English are 1/3rd of Marathi = (x/2)*(1/3)
= x/6
Books on Mathematics are 25 % of the English books = (x/6)*(25/100)
= x/24
Remaining books = 560
Now, according to the question.
⇒ x/2 + x/6 + x/24 + 560/1 = x/1
⇒ (12x + 4x + x + 13440)/24 = x/1
⇒ 17x + 13440 = 24x
⇒ 24x - 17x = 13440
⇒ 7x = 13440
⇒ x = 13440/7
⇒ x = 1920
So, there are 1920 books in the the library.
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The circumstance of a circle is 26 5/7ft
What is the approximate diameter of the circle?
The approximate diameter of the circle is 8.5 ft.
What is area of a circle?The space a circle takes up on a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much fabric is required to completely cover a circular table, for example. The area formula will also enable us to determine the circle's circumference, or the border length.
The circumference of the circle is given as:
C = 2 πr
We can also write this as:
C = πd
as, 2r = d.
The circumference is given as 26 5/7ft. To convert this to a decimal, we can multiply the fractional part by 7/7 to get:
5/7 * 7/7 = 35/49
So the circumference is approximately:
26 + 35/49 = 26.71 ft
Now we can use the formula to find the diameter:
d = 26.71 / 3.14 ≈ 8.5 ft
Therefore, the approximate diameter of the circle is 8.5 ft.
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An online video streaming service offers two plans for unlimited streaming.
Plan A has a one-time $8 membership fee and is $25 per month.
Plan B has a $12 membership fee and is $5 per month.
Write a system of equations that represents the two plans.
The system of equations for the two plans is:
y = 8x + 25
y = 12x + 5
How to Write a System of Equations?To write a system of equations for each plan, let:
x = number of month
y = Total amount
Equation of plan A:
one-time membership fee = initial value or y-intercept (b) = 8
Monthly fee per month = slope/unit rate (m) = 25
The equation would be y = 8x + 25
Equation of plan B:
one-time membership fee = initial value or y-intercept (b) = 12
Monthly fee per month = slope/unit rate (m) = 5
The equation would be y = 12x + 5
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question. Question 14 When simplifying the following expression, the first step would be to add eight and two. 5-8+2 True False
The given statement "When simplifying the expression 5-8+2, the first step would be to add eight and two" is false because of the PEMDAS rule.
According to the order of operations (PEMDAS), we need to perform any calculations inside parentheses first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
In this case, there are no parentheses or exponents, so we can move on to addition and subtraction from left to right.
The first step would actually be to subtract 8 from 5, giving us -3. Then we would add 2 to -3, giving us a final answer of -1.
Therefore, the correct answer is False.
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Rochelle has 6 pounds of grass seed. She
uses
1 1/3 pounds on the front yard and
1 4/9 pounds on the side yard. How many
pounds are left?
Answer:
6 - (1 1/3 + 1 4/9)
6 - 2 7/9
= 29/9
= 3 2/9
Therefore, 3 2/9 pounds of grass seed are left.
A table of values for a one-to-one function is given. Find the
indicated value.
x
1
2
3
4
5
6
f(x)
7
9
3
0
4
1
f −1(0) =
The inverse of a function, denoted f^-1(x), is a function that "undoes" the original function. In other words, if f(x) = y, then f^-1(y) = x.
To find the inverse of a function from a table of values, we simply switch the x and y values. So, for the given table of values:
x | 1 | 2 | 3 | 4 | 5 | 6
---|---|---|---|---|---|---
f(x) | 7 | 9 | 3 | 0 | 4 | 1
The inverse function f^-1(x) would have the table of values:
x | 7 | 9 | 3 | 0 | 4 | 1
---|---|---|---|---|---|---
f^-1(x) | 1 | 2 | 3 | 4 | 5 | 6
Now, to find f^-1(0), we simply look for the value of x that corresponds to f^-1(x) = 0. From the table, we can see that f^-1(0) = 4.
Therefore, the answer is f^-1(0) = 4.
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Find the the measure of ktr give some explanation
We're required to find the value of angle KTR.
It can easily be seen that angle KTR and angle BTF are vertically opposite angles.
Vertically opposite angles are the angles formed due to intersection of two lines and they are equal in measure.[tex]\therefore \: \angle \: KTR= \angle \: BTF \: \\ \implies \: 4h + 160 = 3h + 156 \\ grouping \: the \: like \: terms \: at \: either \: sides \\ \implies \: 4h - 3h = 156 - 160 \\ \implies \: \boxed{h = - 4\degree}[/tex]
now ,
[tex]\angle \: KTR \: = 4h + 160 \\ \implies \: \angle \:KTR \: = 4( - 4) + 160 \\ \implies \: \angle \: KTR \: = - 16 + 160 \\ \implies \:\boxed{ \angle \:KTR = 144\degree}[/tex]
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What is the surface area of the cube? (10 Points)
Drag and drop the correct surface area to match the cube.
Cube with edge length = 3.2 m
Options:
A) 12.8 m2
B) 19.2 m2
C) 51.2 m2
D) 61.44 m2
HURRY!!!
Answer:
D is correct
Step-by-step explanation:
A hardcover book sells for 1995 php in an online bookstore. The royalties paid to the author is based on the following scheme: 5% on the first 3,000 copies sold, and 15% on any additional copies. When the 5,000th book is sold, how much will the author have received? A. 897, 750Php B. 299, 250Php C. 598, 500Php D. 1,496,250Php
The correct answer is B. 299,250Php.
To find out how much the author will have received when the 5,000th book is sold, we need to calculate the royalties for the first 3,000 copies and then the royalties for the additional 2,000 copies.
For the first 3,000 copies, the author will receive 5% of the sale price:
3,000 x 1995Php x 0.05 = 299,250Php
For the additional 2,000 copies, the author will receive 15% of the sale price:
2,000 x 1995Php x 0.15 = 598,500Php
Adding these two amounts together gives us the total amount the author will have received:
299,250Php + 598,500Php = 897,750Php
Therefore, the correct answer is B. 299,250Php.
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