What is the measure of z?

The first step is to determine the side lengths of the small box.

Side length = ∛64 = 4 in

Side lengths of the medium boxes = 4 x 2 = 8 inches

Volume of the medium box = 8³ = 256 cubic inches

The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.

The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) =  1:4.

The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

Answer:

rectangle!

Step-by-step explanation:

Just finished the test for k-12

Answer:

Rectangle

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I and IV

Answer:

See below ~

Step-by-step explanation:

We know the sum of the interior angles is 720° for a hexagon.

Finding x

Finding m∠ABC

Answer:

C (9,-2)

Step-by-step explanation:

Move to the right 9 times and move down 2 times (or -2)

Hope this helps!

Answer:

the answer is C

Step-by-step explanation:

the x axis goes first then the y

Answer:

I believe the answer is 74.557 I apologize if I am incorrect

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

becuase 36=3 feet

Answer:

x = 12

Step-by-step explanation:

Theorem of Thales

[tex]\frac{28}{12} =\frac{x+(x-3)}{x-3}[/tex]

[tex]\frac{28}{12} =\frac{2x-3}{x-3}[/tex]

[tex]28(x-3)=12(2x-3)[/tex]

[tex]28x-84=24x-36[/tex]

[tex]28x-24x=-36+84[/tex]

[tex]4x=48[/tex]

[tex]x=48/4[/tex]

[tex]x=12[/tex]

Hope this helps

Answer:

16 ounces

Step-by-step explanation:

1 pound = 16 ounces. Each clay block is 2 pounds so each of them are 32 ounces.

32 x 3 = 96

Divide 96 by the 4 ounces for each student, 96 ÷ 4 = 24

The clay is only enough for 24 students, leaving 4 students out, each need 4 ounces, so multiply the 4 students by the 4 ounces.

4 x 4 = 16

Therefore, 16 ounces are needed. Hope this helped!

Answer:

f(3) = 18

Step-by-step explanation:

In f(x) = 2x²   ltet x = 3

    f(3) = 2(3)²

    f(3) = 2(9)

    f(3) = 18

The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.

On putting the values we will get the values one by one. We get;

1. (0, 0)

[tex]3 (0)+8(0) = 0[/tex]

2. (2,7)

[tex]3(2)+8(7)=62[/tex]

3. (5,6)

[tex]3(5)+8(6)=63[/tex]

4. (8,1)

[tex]3(8)+8(1)=42[/tex]

The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)

Hence option C is correct.

To learn more about the objective function refer to the link;

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The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is $24.

The insurance premium is paid as a cost to cover a possible loss that is unseen.

The annual premium rate as a percentage of the value insured a person at age 35 has to pay is 0.14%.

From the given information, we have that the amount a 35-year-old without health issues will pay per $1,000 is $1.40

The amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more

= 1.15 × $161

= $185.15

Therefore,

The amount more Bernard has to pay = $185.15 - $161

= $24.15 ≈ $24

Learn more about insurance premiums here:

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Answer:

(0, 5)

Step-by-step explanation:

y = mx + b <== slope-intercept form of a straight line

m <== slope of the line

b = y-intercept (when x = 0)

y = -4x + 5

Therefore, for this line, the y-intercpet is (0,5)

Hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the equivalent expressions ~

#1. PROBLEM

[tex]\qquad \tt \dashrightarrow \:11x - 4x + 10x[/tex]

[tex]\qquad \tt \dashrightarrow \:21x - 4x[/tex]

[tex]\qquad \tt \dashrightarrow \:17x[/tex]

#2. PROBLEM

[tex]\qquad \tt \dashrightarrow \:2(1 + 8y)[/tex]

[tex]\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)[/tex]

[tex]\qquad \tt \dashrightarrow \:2 + 16y[/tex]

Answer:

3rd angle = 74

Step-by-step explanation:

Remark

All triangles have 180 degrees.

In addition a right triangle has 1 angle that equals 90 degrees.

That means the other 2 must add to 90.

Givens

1 angle = 90

1 angle = 16

3rd angle = x

Solution

x + 16 + 90 = 180              Sum 3 angles to 180 degrees. Combine

x + 106 = 180                    Subtract 106 from both sides.

x = 180 - 106                     Combine

Answer: x = 74

The statements that are true about the considered polynomial are:

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together compose GCF(Greatest common factor).

The considered polynomial is: 28vw + 49v + 35w

Checking all the options:

False.

Coefficients are numbers in multiplication with variables in each term.

The coefficients of the considered polynomial are 28, 49, 35

They are all multiple of 7 and 1, so the common factor is 7 too, along with 1.

Yes its true.

It is because none of the variables v, or w are in all the three terms.

False.

Thus, the greatest factor that is common in all three terms is 7 and not 7v.

False.

Because, each term written as product of gcf gives:

True.

It is because:

[tex]7(4vw+7v+5w) = 28vw + 49v + 35w[/tex] = the considered polynomial, and that 7 is the gcf.

Thus, the statements that are true about the considered polynomial are:

Learn more about greatest common factor here:

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Answer:

The coefficients have no common factors other than 1.

There are no common variables among all three terms. <----

The GCF of the polynomial is 7v.

Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w).

The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).

^^^^

Step-by-step explanation:

B and E i just did it on edg

Answer:

The answer should be 14.5

Step-by-step explanation:

Hope This Helps

Have A great day

~Zero~

3 + 4 -9

-2

........ -2 is the answer

Answer:

Your answer is -2.

Explanation:

3 + 32 ÷ 8 - 9

= 3 +4 - 9

= 7 - 9

= -2

Answer:

[tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex]

Step-by-step explanation:

First, llook at the denomintor. Do 5 and 10 have something in common? 5x2=10 and 10x1=10. The common denominator is 10. Then you mulitply the numerator with what you mulitpierd with the denominator. 9x1=9 and 10x1=10 =[tex]\frac{9}{10}[/tex]. 1x2=2 and 5x2=10 = [tex]\frac{2}{10}[/tex]. So, It is [tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex].

Answer:

Given:-

Y = 3x² - 3x + 2

Find : - Discriminant

Y = ax² - bx + c

Discriminant is : - Y = b² - 4ac

So, Discriminant is :-

(-3²) - 4 (3) (2)

= 9-24

=-15

If b² - 4ac < 0.

The equation has no real solution but it does have complex solution.

[tex]\sec \theta = \sqrt 2\\\\\implies \cos \theta = \dfrac 1{\sqrt 2}\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}4\\\\\\\text{In the interval}~ 0 < \theta < 2\pi, \\\\\theta = \dfrac{\pi}4, \dfrac{7\pi}4~~ \text{or}~~ \theta = 45^{\circ}, 315^{\circ}[/tex]

Answer For two events A and B,P(A)−0.36,P(B)−0.37, and P(A∩B)−0.11 a. Find P(A∣B). b. Find P(B∣A). c. Determine whether or not A and Bare independent. I think

Step-by-step explanation:

[tex]0.5(2x+8) = x-4\\\\\implies \dfrac 12 (2x+8 ) = x-4\\\\\implies 2x+8 = 2x-8\\\\\implies 8=-8\\\\\text{Which is not true, so there are no solution.}[/tex]

Answer:

10

[tex]\frac{3*2}{5 * 2} = \frac{6}{10}[/tex]

[tex]\frac{1*1}{10*1} = \frac{1}{10}[/tex]

________________________________________________________

With that information, the correct answer is option C, 10

________________________________________________________

We learned how to find the least common denominator of fractions whose parameters are not the same.

Questions related to this topic? Ask me in the comments box.

The solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.

Here we have the inequality:

–3(2x – 5) < 5(2 – x)

First, we need to isolate x in one side of the inequality, we will get:

-6x + 15 < 10 - 5x

15 - 10 < -5x + 6x

5 < x

Then the solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.

If you want to learn more about inequalities, you can read:

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