Does the following data
represent a function?
X-1
8
9
Y 0 3 9

Answer:

1. f(2) = 5

2. h(0) = 15

3. f(0) = 2

4. f(3) = 4

5. f(x) = 5; x = 2

6. h(x) = 4; x = 1

7. f(4) + h(4) = 3 + 10 = 13

Step-by-step explanation:

f(x) means find the y-value at x.

for example:

f(3) means find the y-value at x=3 on the graph. the answer would be 4. you can also look at it like (3,?).

h(x)= 4 means that the y-value is 4, so you need to look at the table and find the x-coordinate that corresponds with h(x)=4

Answer:

Its y2-y1 over x2-x1

Step-by-step explanation:

Hope that helps!

Answer:

The slope is the change in Y over (divided by) the change in X

So, (Y2-Y1)/(X2-X1) is your answer

Step-by-step explanation:

Hope this helped!!

Since Mary worked 16 1/2 hours in 5 days

Then to find her average in a day, we will divide the total hours by the number of days.

We will change the mixed number 6 1/2 to an improper fraction

Then her average is 33/10 hour per day

We can change it to a mixed number

Her average is 3 3/10 hours per day

Since 1 hour = 60 min, then change the fraction 3/10 to minutes

Then her average is 3 hours 18 min per day

The ordered pair (-3,-9) is not a solution. Therefore, the correct choice is A. Only the ordered pair (5,10) is a solution to the equation.

To determine whether an ordered pair is a solution to the equation y = 3x - 5, we need to substitute the x and y values of the ordered pair into the equation and check if the equation holds true.

For the ordered pair (5,10):

Substituting x = 5 and y = 10 into the equation:

10 = 3(5) - 5

10 = 15 - 5

10 = 10

Since the equation holds true, the ordered pair (5,10) is a solution to the equation y = 3x - 5.

For the ordered pair (-3,-9):

Substituting x = -3 and y = -9 into the equation:

-9 = 3(-3) - 5

-9 = -9 - 5

-9 = -14

Since the equation does not hold true, the ordered pair (-3,-9) is not a solution to the equation y = 3x - 5.

Therefore, the correct choice is A. Only the ordered pair (5,10) is a solution to the equation.

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Answer:

A 3, 4 and 5

Step-by-step explanation:

From the graph, the athlete spent 2 hours biking (from hour 1 to hour 3)

And, the athlete spent 3 hours running (from hour 3 to hour 6)

Then, the athlete spent equal amounts of time biking and running is false

Answer:

Use both methods to calculate the sale price of an item that costs $140 and has a discount of. 40%. 140 x.40 = 56. 140-56 +84. 140x.60 = $84.

Step-by-step explanation:

C

Let's find the unit rate for each contestant, OK ?

Georgie: 320 words in 8 minutes.

320/8 = 40.0 words per minute

Tara: 403 words in 10 minutes

403/10 = 40.3 words per minute

Frank: 474 words in 12 minutes

474/12 = 39.5 words per minute

Lupe: 567 words in 14 minutes

567/14 = 40.5 words per minute

Frank is slowest, at 39.5 wpm.

Georgie is next, at 40.0 wpm.

Tara is next, at 40.3 wpm.

Lupe is fastest, at 40.5 wpm, just barely beating out Tara.

Answer:4.243

Step-by-step explanation:https://www.omnicalculator.com/math/right-triangle-side-angle?c=USD&v=given:0,angle_beta1:45!deg,b1:3!inch

Answer:

The fastest car on Earth, a British-made Thrust SSC, would win every ... The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the United States. During a speed test, the train traveled 800 miles in 2.5 hours. What is its ... Based on this speed.

Step-by-step explanation:

The speed of the train is 320 miles per hour.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values is given using this formula.

We have,

The speed of the TGV train can be calculated using the formula:

Speed = distance/time

where distance is given in miles and time is given in hours.

In this case,

The distance traveled by train is 800 miles, and the time taken to travel this distance is 2.5 hours.

Substituting these values into the formula, we get:

Speed = 800 miles / 2.5 hours

Simplifying the expression on the right-hand side, we get.

Speed = 320 miles per hour

Therefore,

The speed is 320 miles per hour.

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Answer: The formula for the surface area of a cylinder is:

SA = 2πr^2 + 2πrh

where SA is the surface area, r is the radius, and h is the height.

In this case, we know that the surface area is 936π square meters and the radius is 13 meters. So we can plug those values into the formula and solve for h:

936π = 2π(13^2) + 2π(13)(h)

Simplifying:

936π = 338π + 26πh

936π - 338π = 26πh

598π = 26πh

h = 598/26 = 23

Therefore, the height of the cylinder is 23 meters.

Step-by-step explanation:

Step-by-step explanation:

you made some mistakes with the formula.

the surface area of a cylinder is

the outside mantle area

+

the 2 circle areas on top and bottom.

the outside mantle area is

2×pi×radius×height

the 2 circle areas are

2 × pi×radius²

in total that is

2×pi×radius×height + 2×pi×radius² =

2×pi×radius×(height + radius) = 936pi

2×pi×13×(height + 13) = 936pi

pi×(height + 13) = 36pi

height + 13 = 36

height = 36 - 13 = 23 m

According to the concept of fraction the value of the quantity at any time t is -4.

A fraction is a mathematical representation of division of two numbers. In this case, we will be using fractions to solve an initial value problem.

The initial value problem is ′=−2,(0)=−4.

This means that the rate of change of the quantity is -2 and its starting value at time 0 is -4.

To solve this problem, we need to find the value of the quantity at some other time.

Here the first step is to find the general solution to the differential equation ′=−2.

This can be done by integrating both sides, which gives us

=> −2.

Integrating, we get

=> −2 + C, where C is an arbitrary constant.

Next, we use the initial value to find the value of C.

We know that when t=0, the value of the quantity is -4, so we can substitute these values into the general solution to get

=> -4 = -2 + C.

Solving for C, we get C = -2.

Finally, we substitute C into the general solution to get

=> -2 -2 = -4.

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The computation shows that the price of the used computer is $75.

From the information given, it should be noted that there are 5 members before the new members joined and $15 was given to each member.

Therefore, the price of the used computer will be:

= $15 × 5

= $75

The price of the used computer is $75.

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We can conclude that at least 56% of the data values will fall in the range of $48 to $60.

Given data: The average labor charge for automobile mechanics is $54 per hour.

The standard deviation is $4.

Using Chebyshev’s theorem, we need to find the percentage of data values that will fall in the range of $48 to $60.

Chebyshev's theorem states that at least 1-1/k2 of the data will lie within k standard deviations of the mean of a random data set.

It does not depend on the shape of the data distribution, only the standard deviation is used in the calculations.

The formula for Chebyshev's theorem is:

1-1/k2  where k is the number of standard deviations from the mean.

Let's find the value of k first. k is calculated as:

k = (upper limit of the range - the mean) / the standard deviation

= (60 - 54) / 4

= 1.5k

= (mean - lower limit of the range) / the standard deviation

=  (54 - 48) / 4

= 1.5

Now, we will use Chebyshev's theorem to find the percentage of data that will fall within this range:

1-1/k2 = 1 - 1/1.5²

= 1 - 0.44

= 0.56

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Answer:

The midpoint is (1.5, -5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

( -3+6) /2 = 3/2 = 1.5

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

( -5+-5) /2 = -10/2 =-5

The midpoint is (1.5, -5)

Hi!

\(A=(-3,-5) \ and \ B=(6,-5)\\\\Medium \ point=(\frac{-3+6}{2};\frac{-5+(-5)}{2})=\boxed{(\frac{3}{2};-5)}\)

Answer:

36

Step-by-step explanation:

The value of the expression is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(120 ÷ 20) ÷ (2 x 3)\

Using the PEMDAS rule.

P = parenthesis

E = exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now,

(120 ÷ 20) ÷ (2 x 3)

= 120/20 ÷ 6

= 6 ÷ 6

= 1

Thus,

1 is the value.

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Formula to calculate combinations is given by -

nCr=[n !]/[r ! * (n-r) !]

where,

nCr = number of combinations

n = total number of objects in the set

r = number of choosing objects from the set

Now, according to given -

n = 10 people

r = 5 callers

Hence,

Number of possible combinations = nCr

= 10C5

= (10!)/[5! * (10-5)!]

= 252

Thus, 252 different people could have made successful calls to the radio station.

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Answer: 8,760 Hours

Step-by-step explanation:

The value of p, q, and r cannot be found without more information about what the variables represent and any equations or relationships that they may be a part of.

Please provide more context or information about the problem you are trying to solve.

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Answer:

Sure, what do you need help with?

Step-by-step explanation:

Send whatever you need help with and I'll see if I can explain it.

a) The expressions AB, BA, AA, and BB are defined for operators generated by 2x2 matrices A and B.

b) The expressions AB, BA, AA, and BB are not defined for operators generated by the matrices A (2x2) and B (1x2).

a) For the operators generated by 2x2 matrices A and B, the expressions AB, BA, AA, and BB are defined. In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix for the product to be defined. Since both A and B are 2x2 matrices, their product AB and BA will result in a 2x2 matrix. The expression AA denotes the product of A with itself, which is also a valid operation. Finally, BB represents the product of B with itself, resulting in another 2x2 matrix.

b) In this case, we have the matrices A (2x2) and B (1x2). Since the number of columns in A is not equal to the number of rows in B, the expressions AB and BA are not defined. Matrix multiplication requires the number of columns in the first matrix to match the number of rows in the second matrix. Similarly, AA represents the product of A with itself, which is not defined since A is a 2x2 matrix. Finally, BB is also not defined as B is a 1x2 matrix, and multiplying it by itself is not a valid operation.

The expressions AB, BA, AA, and BB are defined for operators generated by 2x2 matrices A and B, but they are not defined for operators generated by the matrices A (2x2) and B (1x2).

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Step-by-step explanation:

JOIN MY MEETING

ID-9384026088

PASSWORD 1234

Answer:

holalaaa

Step-by-step explanationgcias pror lpos autn:os

The function f(x) = |x| can be expanded in a cosine series as:

f(x) = π/2 - (4/π)∑[n=1 to ∞] (1/n²)cos(nx)

In the expansion, the series includes terms with cosine functions of different frequencies, represented by n. The coefficients of the cosine terms are given by (4/π)(1/n²), and the frequencies increase as n increases.

To expand the function f(x) = |x| in a cosine series, we need to find the coefficients of the cosine terms in the expansion. In this case, the expansion is given by:

f(x) = a₀/2 + ∑[n=1 to ∞] (aₙcos(nx) + bₙsin(nx))

Since the function f(x) = |x| is an even function symmetric about the y-axis, the sine terms will vanish, and we are left with only the cosine terms.

To find the coefficient of each cosine term, we can integrate both sides of the equation with respect to x over the interval -π to π and use the orthogonality property of cosine functions.

The coefficient of the nth cosine term is given by:

aₙ = (2/π)∫[from -π to π] |x|cos(nx)dx

Evaluating this integral, we obtain the coefficient (4/π)(1/n²) for the nth cosine term.

Therefore, the expansion of f(x) = |x| in a cosine series is given by:

f(x) = π/2 - (4/π)∑[n=1 to ∞] (1/n²)cos(nx), where -π < x < π.

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False. The expression \((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

The expression\((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

To simplify \((3ab - 6a)^2\), we need to apply the exponent of 2 to the entire expression. This means we have to multiply the expression by itself.

\((3ab - 6a)^2 = (3ab - 6a)(3ab - 6a)\)

Using the distributive property, we can expand this expression:

\((3ab - 6a)(3ab - 6a) = 9a^2b^2 - 18ab^2a + 18a^2b - 36a^2\)

Simplifying further, we can combine like terms:

\(9a^2b^2 - 18ab^2a + 18a^2b - 36a^2 = 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\)

The correct simplified form of \((3ab - 6a)^2 is 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\).

The statement that\((3ab - 6a)^2\) is the same as 2(3ab - 6a) is false.

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Step-by-step explanation:

always, always in % problems find what is the 100%, the regenerate for the rest.

from there you can make either direct calculations (shortcuts that we use, when we know what we are doing), or find 1% out of the 100% and then do the proper calculations.

this problem here says that

100% = $88.99 (the original price, our reference).

1% = 100%/100 = 88.99/100 = 0.8899

35% = 1%×35 = 0.8899 × 35 = $31.1465 ≈ $31.15

so, the sale price is

100% - 35% = 65%

65% = 1%×65 = 0.8899 × 65 = $57.8435 ≈ $58.84

$58.84 is the new sale price (before taxes).

as you can see, we could have done shortcuts, since we knew what to expect :

the new sales price is

88.99 × (1 - 0.35) = 88.99 × 0.65

To answer this question, we need to find the area of the triangle of the prism, and then the area of the three other rectangles.

We have that the area is given by the height of the triangle, in this case, h = 16cm (we can see that this segment is perpendicular to the base), and the length of the base is equal to b = 24. Then, we can calculate the area of this triangle as follows:

Given  ∫(2x+1)(x−1)dx , We can use the distribution property of multiplication to get \[\int{2x(x-1)}dx+\int{1(x-1)}dx\] We can use distributive property , where C is a constant of integration.

We can use the distribution property of multiplication to get

\(\[\int{2x(x-1)}dx+\int{1(x-1)}dx\]\)

We can use distributive property again to get

\(\[2\int{x^{2}-x}dx+\int{xdx-\int{dx}}\]\) Which is equal to

\(\[2\frac{{{x}^{3}}}{3}-2\frac{{{x}^{2}}}{2}+\frac{{{x}^{2}}}{2}-x+C\]\)

where C is a constant of integration.

Therefore,\(\[\int(2x+1)(x-1)dx=2\frac{{{x}^{3}}}{3}-2\frac{{{x}^{2}}}{2}+\frac{{{x}^{2}}}{2}-x+C\].\)

In conclusion, the indefinite integral of 1+x2/2+x dx is 2(1+x2)1/2 + C and the indefinite integral of (2x+1)(x−1)dx is 2x3/3 - x2 - x + C.

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Answer:

Brainliest if correct!

Step-by-step explanation:

6561

9^4

the first one!!!

Answer:

C. 108.5 square feet

Step-by-step explanation:

Area of the deck