What are the domain and range of the function f(x) = 3/4 x+5?

Answer:

923 in^2

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

Answer:

30 hours → $270

40 hours → $360

50 hours → $495

Step-by-step explanation:

30 hours:  9(30) = 270

40 hours:  9(40) = 360

50 hours: 360 + 13.5(50-40)  =  360 + 135

Answer: The Range is 5,4,8

Step-by-step explanation:

Answer: The range is [4,8]

Step-by-step explanation:

What you want to look for is the smallest and largest y values, the smallest value is 4 and the largest is 8.

When answering a problem like this you want to put the smaller value first, so in this case, we put 4 first

So the equation for range would be something like 4 \(\leq\) y \(\geq\)  8

We use [ , ] because the brackets need that the said value is included in the data set.

Therefore we use the range equation to create the answer

[4,8]

Answer:

$8.24

Step-by-step explanation:

You'd do this the same way you'd find any percentage.

Answer:

Step-by-step explanation:

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

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Answer:

B.

Step-by-step explanation:

there cannot be two of the same x value's. It would make it a circle on the graph, or something close to that, which isn't a function.

Answer: (b) (g o g)(5)

Step-by-step explanation:

\(f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}\)

There are 7200 ways for the senate committee to sit around a circular table.

To solve this problem, we can use the formula for circular permutations: (n-1)!/d, where n is the total number of people and d is the number of ways in which they can be distinguished. In this case, n is 11 (5 democrats + 5 republicans + 1 independent) and d is 1 (since all the members of each party sit together, they are not distinguishable from one another). Plugging these values into the formula, we get

This means that there are 7200 ways for the senate committee to sit around a circular table.

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1.23×10^9

To find this divide until number is between 1 and 9 and the number of times divided by ten is the power

Given:

A triangular prism with height 9 ft and triangular base.

The base of the triangle is 8 ft and the height of the triangle is 9 ft.

To find:

The volume of the triangular prism.

Solution:

Volume of the triangular prism is:

\(V=Bh\)

Where, B is the base area and h is the height of the triangular prism.

Area of a triangle is:

\(Area=\dfrac{1}{2}\times base \times height\)

The base area of  triangular prism is:

\(B=\dfrac{1}{2}\times 8\times 9\)

\(B=4\times 9\)

\(B=36\)

Now, the volume of the triangular prism is:

\(V=36\times 9\)

\(V=324\)

Therefore, the volume of the triangular prism is 324 cubic ft.

Answer:

$1.25

Step-by-step explanation:

Subtract $0.25 by $1.50

$1.50-$0.25=$1.25

The product of the two matrices Q₁Q₂ is orthogonal

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. ... {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where QT is the transpose of Q and I is the identity matrix.

It is said to be an orthogonal matrix if its transpose is equal to its inverse matrix, or when the product of a square matrix and its transpose gives an identity matrix of the same order.

If A is an n*n orthogonal matric, then A*A¹ = A¹*A

Therefore A*A¹ = A¹*A  = 1

This implies that the product Q₁O₂ is orthogonal.

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Answer:

7.68

Step-by-step explanation:

8.55-2.12 is 6.43.

6.43+1.25 is 7.68

Answer:

Line B & C

Step-by-step explanation:

Parallel lines have the same slope.

Lines B and C have the same slope.

You can see that for both lines B and C that each time the line goes through an exact point, they line up.

Answer:

The area of the shaded part is 36.53 cm²

Step-by-step explanation:

The dimension of the side of the square ABCD = 8 cm

The shaded part is seen to be the area of intersection of two quarter circles

The dimension of the radius of the quarter circles = The side length of the square

Therefore;

The dimension of the radius of the quarter circles = 8 cm

The figure can be taken as being formed by the two quarter circles with a square removed

The shaded area is the

Therefore, the area of the shaded part Sₐ, is given by the relation;

Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square

Given that the dimensions (radius) of the two quarter circles are the same, we have;

Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²

Area of the square = (Side length of the square)² = 8² = 64 cm²

Sₐ =  (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²

The area of the shaded part = 36.53 cm².

Answer:

Step-by-step explanation:

49.3488

f(-5) = 1
f((-7)(5/7)) = f(-5) = 1
When x = 5/7: f(-7(5/7)) - 4 = 1 - 4 = -3

(5/7, -3) is a point on the graph of y = f(-7x) -4

Center of circle = (-3, 6)

Diameter = 6

General equation of circle: x² + y² = r²

our answer will be in the form:

(x+a)² + (y+b)² = r²

Substitute center values and radius:

a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)

b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)

r = 6/2 which is 3

answer: (x+3)² + (y-6)² = 3²

Surface area = 400 ft²

Volume = 448 ft³

length = 4 ft

width = 8 ft

height = 14 ft

The storage chest is a rectangular prism in shape

We use volume of rectangular prism formula:

Hence, the volume of the storage chest is 448ft³

Surface area of rectangular prism = 2(lw + hw + hl)

Surface area = 2(4 × 8 + 14 × 8 + 14 × 4)

Surface area = 2(32 + 112 + 56)

Surface area = 2(200)

Surface area = 400 ft²

Surface area of the chest = 400 ft²

Given the following question:

Your exact solutions are...

Answer: F=44 and D=136

Step-by-step explanation:

If the two angles form a straight line, they are supplementary angles, so they sum 180 degrees. This is:

D + F = 180

\(7Y - 18 + 2Y=180\\9Y = 198\\Y=22\\\\D = 7(22)-18\\D=136\\\\F=2(22)\\F=44\)

Answer:

25 = 10 + w

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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Answer:

When b = 28 and c = 4, then a = 56

Step-by-step explanation:

We need to write the equation first

This is an example of a combined variation

if a varies directly as b and inversely as c;

then a = bk/c

where k is the constant of proportionality

We find k first;

16 = (12 * k)/6

k = (6 * 16)/12 = 8

We now want to find a

a = kb/c

a = (8 * 28)/4 = 7 * 8 = 56

Answer:

The Graphs are in the picture below. ⬇️

Answer:

-9 + 6 = -3

Step-by-step explanation:

The Number Line

The original number -9 is located as the red dot in the number line as shown in the figure below.

To move to the number -3 (as a blue dot) we must jump right 6 numbers. Thus, this is the number that must be filling the box.

-9 + 6 = -3

Answer:

3rd choice and 5th choice

Step-by-step explanation:

79m + 248 = 880

79m is $79 being charged per month

248 is the initial fees

880 is how much he has spent

we can now solve the equation to find how many months he has been subscribed for

79m = 632

m = 8