Let f(x)=x^4 if g(x) is the graph f(x) shifted right 3 units, write a formula for g(x)

Answer:

B

Step-by-step explanation:

\(m_{\overline{AB}}=\frac{4-0}{-2-2}=-1 \\ \\ m_{\overline{CD}}=\frac{-2-4}{-3-3}=1 \)

Since the slopes are negative reciprocals of each other, and since they intersect, they are parallel.

The distance are

a. 42.42

b. 15. 52

80 = 65 + <ABC

<ABC = 80 - 65

= 15

Through the use of sine rule we would have

By using sine rule,

Sine 15/a = sine 135/b =

sin 30/30.

Next we have to solve b by cross multiplying

b = (30× sin135) / sin 30

= 21.21/0.5

b = 42.42 km

Also, the value of a will be:

= (42.42 × sin 15) / sin 135

= 10.98/0.7071

= 15.52

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The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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sets of rational numbers = Q

sets of rational numbers is represented by \( \mathbb{Q}\)

Sets of intigers is represented by Z

Sets of whole numbers is represented by W

Answer: c(x) = $50*x + $24

Step-by-step explanation:

First, this situation can be modeled with a linear equation like:

c(x) = s*x + b

where c is the cost, s is the slope, x is the number of cubic yards of mulch bought, and b is the y-intercept ( a constant that no depends on the number x)

Then we know that:

The company charges $50 per cubic yard, so the slope is $50

A delivery charge of $24, this delivery charge does not depend on x, so this is the y-intercept.

Then our equation is:

c(x) = $50*x + $24

This is:

"The cost of buying x cubic yards of mulch"

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{x}{3}=\cfrac{24}{x}\implies x^2=72\implies x=\sqrt{72}\implies x=6\sqrt{2}\implies x\approx 8.49\)

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

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Answer:

for the lengths, just double the numbrrs

1.5 -> 3

2.5 -> 5

bc the scale factor is two (the upper edge is given)

the angles are just the same, no matter the zoom factor

There are two polygons where B is greater than A.

One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.

So, the scale factor is

\(\dfrac{5}{2.5}=2\)

So, the missing sides in polygon B are

\(1.5\times2=3\)

\(2.5\times 2=5\)

The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.

So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are \(53^{\circ}\) and \(82^{\circ}\).

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Mathematically, it will take you 315 minutes (5 hours, 15 minutes) at most to visit with all 7 clients.

We can employ mathematical operations, including addition, subtraction, division, and multiplication to determine the total time required to visit the seven clients.

Since we know that a client requires 3/4 hours or 45 minutes of your visiting time, we can multiply 45 minutes by 7.

The product of the multiplication operation gives 315 minutes, which we can convert into hours and minutes by a division operation.

The number of clients visiting today = 7

The time it a client requires of your visit time = 3/4 hours

3/4 hours = 45 minutes (0.75 x 60)

For the 7 clients, it will take you 315 minutes (45 x 7)

315 minutes equal 5 hours and 15 minutes.

Thus, using basic mathematical operations, we can conclude that, at most, you require 5 hours and 15 minutes to attend to all seven clients today.

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x +2x +3x -x = -100

Combine like terms:

5x = -100

Divide both sides by 5

5x/ 5= -100/ 5

x = -20

Answer: It would be

As x -> positive infinity, h(x)-> positive infinity, and as x->negative infinity, h(x)-> negative infinity.

Answer:

D

Step-by-step explanation:

The equation 2 (p+ 7) = 4 - 8p has only one solution that is; -9.

We know that solution of an equation refers usually to the values of the variables involved in that equation that if substituted in place of that variable would give a true mathematical statement.

We need to determine the solutions does the equation 2 (p+ 7) = 4 - 8p have;

Now solving for p,

2 (p+ 7) = 4 - 8

Open the bracket,

2p+ 14 = 4 - 8

Combine the like terms,

2p = -4 - 14

2p = -18

p = -18/2 = -9

Therefore, the equation has only one solution which is -9.

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Answer:

its already in simplest form

Step-by-step explanation:

Answer:

628 mi^3

Step-by-step explanation:

the volume of a cylinder is given by:

V = base area x height

thus,

V = (3.14)(5)^2(8)

V = (3.14)(25)(8)

V = 628 mi^3

the volume of the cylinder is 628 cubic miles

The volume of the cylinder is 628 cubic miles.

We have a cylinder of radius 5 mi and height 8 mi.

We have to find the volume of the figure and round it to nearest tenth.

The volume of cylinder is given by the formula -

Volume \(=\pi r^{2} h\)

We can use the above formula to calculate the volume of cylinder. In our case -

r = 5 mi

h = 8 mi

Substituting the values in the formula -

Volume \(=\pi\times5^{2}\times 8\\\\\) = 628 cubic miles.

Hence, the volume of the cylinder is 628 cubic miles.

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Answer: 21

Step-by-step explanation: We are given that angle ABC is dilated with center P.

Scale factor=3

Angle A'B'C' is formed after dilation of angle ABC.

Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.

After dilation, the size of figure changes.

The initial figure and the figure obtained after dilation are similar in shape.

When two figures are similar then , the angles of one figure are  congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.

The measure of angle ABC=21'

After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'

Because the shape does not change in dilation transformation.

Answer:

A

Step-by-step explanation:

I do think its A, its not c or d because it is perpindicular, but i'm only in 6th grade and 10years so its either a or b

Answer:

A

Step-by-step explanation:

The lines cross or touch the X-Axis 4 times which means that there are 4 solutions.

Answer:

4 x 3.14 x 2 = 25.12 inches

Step-by-step explanation:

Formula of circumference:

3.14(pi) x 2(the number is just always there when finding circumference) x radius(half of your diameter or just your given radius).

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

Answer:

1.78f

Step-by-step explanation:

7/4=1.78 and then you add f

Answer:

16'

Step-by-step explanation:

4'

4 equal sides

4+4+4+4=16

Answer: Permimeter of a 4’ square is 16.

Step-by-step explanation:

given that:

• length = 4

∴ Perimeter of Square = 4 x length

⇒ P = 4 × 4

⇒ P = 16 units ...answer...

hope that helps...

Answer:

3 more students

Step-by-step explanation:

6-3=3

How did you get that?

6 students live 2 miles away, while only 3 students live 3 miles away. To find the difference, subtract the two numbers.

Answer:

C- The size of the initial water sample, in gallons.

Step-by-step explanation:

Answer:

B,D,C,A,E

Step-by-step explanation:

-1, -4/3, 1/2, 2, 2 1/4

Answer:

BDCAE

Step-by-step explanation:

hope this help

Answer:

b. might or might not

Step-by-step explanation:

Theorem:

If f is a continuous function in a bounded interval, it must have an absolute maximum.

In this question:

The interval is  2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.

Answer:

b. might or might not

Step-by-step explanation:

For each of the regions D in R^2 below, fill in the blank so that the statements are true: might or might not

Answer:

7/4 : 3/8

Step-by-step explanation:

nitrogen =1 3/4 =7/4

potash= 3/8