Answer has exponent please help

The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12

In the given figure, the side lengths AB and AD are equivalent.

This means that, we have the following angle relationship:

CAD < CAB

Substitute known values

6x - 24 < 48

Add 24 to both sides

6x < 72

Divide both sides by 6

x < 12

Also, we have the following angle relationship:

CAD > 0

Substitute known values

6x - 24 > 0

Add 24 to both sides

6x < 24

Divide both sides by 6

x < 4

This means that:

x < 4 and x < 12

Combine both inequalities

4 < x < 12

Hence, the inequality is 4 < x < 12

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Answer:

35 ways

Step-by-step explanation:

[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]

Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.

Answer:

See below ~

Step-by-step explanation:

Based on the graph,

   2. f(4)

   3. x when f(x) = 5

   4. x when f(x) = -3

Answer:

25(1+2)

Step-by-step explanation:

25 goes into 25 once and 50 twice.

The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

Volume of the box = l×w×h

150 = l×w×h

h = 2 in

l = 10+w

150 = (10+w)(w)(2)

150 = 2w(10+w)

After solving, we get:

w = 5 or w = -15

Width cannot be negative.

w = 5 in

Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

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Answer:

B

Step-by-step explanation:

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

1 ft

Step-by-step explanation:

scale: 5 in. = 8 ft

Back wall scale measurement: 15 in.

Back wall real measurement: 15 in. × 8 ft / 5 in. = 24 ft

Each workstation measures 4 ft.

5 workstations measure 5 × 4 ft = 20 ft

24 ft - 20 ft = 4 ft

When you place 5 workstations, the outer two will be at the ends of the 24-ft wall. There will be 4 spaces between the workstations.

4 ft / 4 = 1 ft

Answer: 1 ft

Answer:

x = 26

Step-by-step explanation:

Answer:

26 degrees

Step-by-step explanation:

The small square symbol on the upper left of the line represents a 90-degree angle.

90 - 64 = 26 degrees

Answer:

in 720 Possibles ways Ten runners can be arranged  as first, second, and third placers

Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.

The Pythagoras theorem formula is expressed as:

[tex](\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}[/tex]

Now, let us take an example to understand the concept better.

A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?

We are given the following:

When we plug the hypotenuse and the base, in the formula, we get;

Subtract 9² on both sides of the equation to isolate (side₂)².

We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S

Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).

Therefore, the measure of the height is 12 centimeters.

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Answer:

64 Ounces

Step-by-step explanation:

64 Ounces of hot dogs

Answer:

64 oz

Step-by-step explanation:

1 lb = 16 oz

4 × 1 lb = 4 × 16 oz = 64 oz

-5(y+2)=25

y+2=25 ÷(-5)

y+2= -5

y= -5-2

y=7

Answer:

x^-2 = 1/36

x^-1 = 1/6

x^0 = 1

x^1 = -6

x^2 = 36

#1

#2

#3

#4

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Answer:

40 meters

Step-by-step explanation:

x=4

3x-4=12-4

2x-3=8-3

12-4=8

8-3=5

8x5=40

Answer:

0 pars

Step-by-step explanation:

3-3=0

The amount of bottles that Dylan needs each week to bottle all the milk is; 64 bottles

We are given;

Amount of Milk produced by Dylan's cow per day = 21 ¹/₃ liters

Thus, amount of liters of milk produced in a week = 21 ¹/₃ liters * 7 = 448/3 liters.

Then, number of bottles required in a week = 448/3 ÷ 2¹/₃ = 448/7

Number of bottles required in a week = 64 bottles

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Answer:

B. po

Step-by-step explanation:

reflection a triangle over the yaxis.

the answer to that is -120

Step-by-step explanation:

-120+74=-46

Answer:

k = -120

Step-by-step explanation:

k + 74 = -46

Subtract 74 from both sides:

k + 74 = -46

    - 74  - 74

k = -120

Final answer: k = -120

Hope this helps!

Answer:

3/2

Step-by-step explanation:

it's the slope because it's before x.

Answer:

The peanut is 12.59 feet away from the base of the platform.

Step-by-step explanation:

When solving these equations, we can first start out by noticing that this requires a trigonometry function.

There are three types : cos, sin, and tan.  (cosine, sin, and tangent)

Cos is for finding and dealing with the adjacent and the hypotenuse.

Sin is for finding and dealing with the opposite and the hypotenuse.

Tan is for finding and dealing with the opposite and the adjacent.

The opposite is the bottom base, to the peanut.

The adjacent is the height from the bottom base, to the top.

The hypotenuse is the top, to the peanut.

27 feet would be the adjacent.

Since we don't know bottom base to the peanut, we would call this x. (opposite)

*Side note*  :   The degrees is always in between the adjacent and hypotenuse.

For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :

tan (degrees) = opposite/adjacent

So, now we simply put in the data.

tan 25 = x/27

We can now, first get x alone by multipling both sides by 27.

27 * tan 25 = x

Plug this into a scientific calculator :

27 * tan 25

We the answer to be 12.59

The peanut is 12.59 feet away from the base of the platform

Answer:

Emily=24 marbles Zak=8 marbles

Step-by-step explanation:

sum of ratio= 3+1=4

Emily: Zak= 3:1

no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles

                                      = [tex]\frac{3}{4}[/tex]×32

                                      =24 marbles

No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32

                                    =8 marbles

Answer:

the correct graph is attached

Step-by-step explanation:

x ≥ 1 means there is a closed dot at 1

and -x + 8 means there should be an y intercept at 8 with negative slope

so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph

Answer:

[tex] \sqrt{ - 100} = 10i = 0 + 10i[/tex]

Answer:

See below

Step-by-step explanation:

The terms that can be used to best describe the relationship between 60 degree angle and the angle labelled y degree is:

Since vertically opposite angles are equal, y° = 60°.

[tex]\rule[225]{225}{2}[/tex]

Answer:

Vertical angles

Step-by-step explanation:

The 60° angle and the angle marked y° are vertical angles. Vertical angles are equal. They are formed by two lines crossing (intersecting lines) I like to think of them like a pair of scissors, opening and closing! The angles get bigger or smaller together. The angle marked x° and the unmarked angle are another pair of vertical angles.

The equation that represents the horizontal parabola given on the graph is:

y² = -8x

The equation of a quadratic function, of vertex (h,k), is given by:

x = a(y - k)² + h

In which a = 1/p is the leading coefficient.

In this problem, the vertex is (0,0), hence h = k = 0, and:

ay² = x.

The directrix is at x = 2, and the parabola opens left, hence:

p = -4(2 - 0) = -8.

Hence the equation is:

y² = px = -8x.

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don't know please clue question not written well