what is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of
their edge lengths is 8:5

Answer:

(-1,-0.5)

Step-by-step explanation:

Find the solution to this problem by using the midpoint formula which is (x1+x2/2,y1+y2/2) plug in the values of y and x to get -11+9/2+0-1/2. simplify to get the solution of (-1,-0.5)

Step-by-step explanation:

r = -8/4 = -2

t1 = 4

the general formula :

tn = t1. r^(n-1)

tn = 4. (-2)^(n-1)

t12 = 4. (-2) ^(12-1)

= 4. (-2)^11

= 4. (-2,048)

= - 8,192

Answer:

-12 =x

Step-by-step explanation:

5 [(x/6)-2] = 2x + 4

Distribute

5/6x - 10 = 2x+4

Subtract 5/6x from each side

5/6x -10 -5/6x = 2x -5/6x +4

-10 =2x -5/6x +4

Subtract 4 from each side

-10-4 = 2x - 5/6x

Get a common denominator for the right side

-14 = 12/6x - 5/6x

-14 = 7/6x

Multiply each side by 6/7

-14 * 6/7 = 7/6 x * 6/7

-12 =x

Answer:

x = -12

Step-by-step explanation

Answer:

(a) 87.5 g

(b) 0.7 g per cubic cm

Step-by-step explanation:

side of each cube, s = 5 cm

total mass, M = 525 g

(a) mass of each cube, m = M/6 = 525/6 = 87.5 g

(b) Volume of each cube = s x s  s = 5 x 5 x 5 = 125 cubic cm

mass per cubic cm = 87.5/125 =0.7 g per cubic cm

Answer:

$8

Step-by-step explanation:

Each pack includes one pack of popcorn and one pack of candy. Since Jenny bought 4 packs, and it cost $32 in total, the equation will look like:

4x = 32

To solve this you divide 4 into each side of the equation:

4x = 32

----   ----

4      4

x   =  8

The answer is 8.

Hope this helped.

Answer:

Step-by-step explanation:

Let the equation be:

Multiply both sides by 4 and complete the square:

Since -3 = 1(-3) = (-1)*3, we have following options:

1)

Eliminate k by adding up equations:

2)

Eliminate k by adding up equations:

Answer: (0, -3/7)

Step-by-step explanation:

The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.

Answer:

b. vertical angles

Step-by-step explanation:

<2 and <5 are vertical angles

They are formed by the same lines, are opposite each other and share a vertex.  Vertical angles are equal

Answer: present statistical information in clear, meaningful terms.

Step-by-step explanation:

When using statistics, the information gathered should be presented in such a way that it is clear and meaningful as this would allow for the data to be tested using various statistical measures.

If data is unclear, the measures used for the test could be negatively impacted such that the results would not represent the most accurate of interpretations.

9514 1404 393

Answer:

  D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

  y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

  xy = k . . . . . . multiply the above equation by x

  (10)(6) = k = 60 . . . . using the given values

__

To check if a given pair of numbers satisfies ...

  y = 60/x

you can multiply them together to see if the product is 60.

  (A) 12×5 = 60

  (B) 15×4 = 60

  (C) 25×2.4 = 60

  (D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

Sin74 = Cos16

cause 16 + 74 = 90

Whenever the sum of two angles is equal with 90, the Sin of one is equal with the Cos of the other like :

Sin(30) = Cos(60)

and also

Tan(30) = Cot(60)

Answer:

16

Step-by-step explanation:

sin(74) = cos(x)

sin(x)=cos(90-x)

sin (74) = cos(90-74)

sin 74 = cos( 16)

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

First,Step write the given equation.

[tex] \frac{x}{2} + 7 = 3[/tex]

In Algebra, we learn how to solve for a missing term called a variable. We must use inverse operations to undo terms to isolate our variable. Inverse operations means that we do the opposite of the given.

For example, say we have a equation

[tex]x + 2 = 3[/tex]

We would subtract 2 from both sides. E.g( remember the golden rule of algebra). What we do to one side, we do the other. This applies when we solving for a variable.

This means that

[tex]x = 1[/tex]

And if we substitute 1 in for x, it is indeed true.

[tex]1 + 2 = 3 = 3[/tex]

Now, back to the question.

[tex] \frac{x}{2} + 7 = 3[/tex]

First, we subtract 7 from both sides to get rid of the 7 on the left side. Also remeber to undo terms that aren't included in the variable when solving these problems.

So now we got

[tex] \frac{x}{2} = - 4[/tex]

Then we multiply 2 by both sides since that the opposite of division.

[tex] \frac{x}{2} \times 2 = x = -4 \times 2 = - 8[/tex]

So this means that

[tex]x = - 8[/tex]

If we plug this in, this is true.

[tex] \frac{ - 8}{2} + 7 = 3[/tex]

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

Answer:

Step-by-step explanation:

Height of the triangle = apothem = 9 inches

Base = 6 inches

[tex]Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}[/tex]

Area of regular polygon = Area of 5 triangle.

                                        = 5 * 27

                                        = 135 square inches

Answer:

Kindly check explanation

Step-by-step explanation:

Given the T test output :

T-Test

μ<4.00

t=-3.033077

p=0.002025

x=3.48

Sx=1.150075

n=45

Given that population mean, μ = 6

Confidence level, α = 0.05

The hypothesis :

H0 : μ = 6.00

H1 : μ < 6.00

From the t test output given :

The test statistic :

T = -3.033077

T = - 3.03 (2 decimal places)

The Pvalue :

P = 0.002025

Pvalue = 0.002 (3 decimal places)

The conclusion :

Decision region ; Reject H0 : if Pvalue < α

Since ; Pvalue < α

Reject H0 ; There is sufficient evidence to support claim that sample is from a population with a mean less than 6.

Answer:

A. Angle Y is a right angle.

B. The measure of angle Z is 45°.

E. The perpendicular bisector of creates two smaller isosceles triangles.

Step-by-step explanation:

Let x represent the measures of base angles X and Z. 2x is the measure of vertex angle Y.

x + x + 2x = 180°

x = 45°

2x = m∠Y = 90°

The triangle is an isosceles right triangle which has base angles of 45°.

The perpendicular bisector of line XZ creates two smaller isosceles triangles with acute angles of 45°

Answer:

The answers are A B E

Step-by-step explanation:

Answer:

1.432

2. 8978

Step-by-step explanation:

Answer:

lower limit = 5

upper limit = 10

class mark = lower limit + upper limit ÷ 2 = 7.5

class size = upper limit - lower limit

= 10-5 = 5

Step-by-step explanation:

I hope this help you have an great day and safe health

Answer:

x^2 - 9

-------------

x^2 - 4

Step-by-step explanation:

x+3        x-3

------ * -----------

x+2       x-2

Notice that the numerator is the difference of squares and the denominator is the difference of squares

(a+b)(a-b) = a^2 - b^2

(x^2 - 3^2)

------------------

x^2 - 2^2

x^2 - 9

-------------

x^2 - 4

Answer:

A...

the parts of theis problem are "special factors" or conjugates

(a+b) (a-b) = a^2 - b^2

you have two of those (x+3)(x-3) = x^2-9

and (x+2)(x-2) = x^2 -4

Step-by-step explanation:

Step-by-step explanation:

I can give you a formula SOH-Sinø=Opposite\Hypotenuse

CAH-Cos=Adjacent\Hypotenuse

TOA-Tan=Opposite\Adjacent

Answer:

218.38 feet

Step-by-step explanation:

tan(20) = x/600

tan(20) = 0.3639

600 x 0.3639 = 218.38 feet

hope this helps

Answer:

a. Increases

Step-by-step explanation:

An exponential graph starts rising gradually and then starts to steeply incline.

In other terms, the derivative of an exponential function shows us that the slope of the exponential function increases as the inputs increase.

∴ our answer is A.

Answer:

what should we be finding?

What is your question? if it is arranging in descending order, the answer is as follows:

25,23,20,16

Answer:

y-intercept is 0, x-intercept is 0 and 1

Step-by-step explanation:

For y-intercept, x=0 :

[tex]{ \tt{y = {(0)}^{2} - 2(0) }} \\ { \tt{y = 0}}[/tex]

For x-intercept, y=0 :

[tex]{ \tt{0 = {2x}^{2} - 2x }} \\ { \tt{2x(x - 1) = 0}} \\ { \tt{x = 0 \: \: and \: \: 1}}[/tex]

Answer:

a

Step-by-step explanation:

all angles of an equilaterall triangle are equal therefore 180÷3 = 60

Answer:

The image of the graph is below.

Step-by-step explanation:

Answer:

I start to say from my name,age,family,qualifications and etc.

Answer:

In your response, do the following:

Begin by rereading the job description. Take note of the required skills that you have, and identify recent stories that demonstrate them . Ideally, you should draw primarily from recent professional experience; however, volunteer work can also support your narrative while demonstrating a commitment to your community.

Is it a more senior role? If so, explain how you are taking on more responsibilities in your current position. If you are making a lateral transition to a role with different skills, describe how your current skills translate into the new position.

When you start building the script of each example, focus on details and outcomes that you can quantify if possible. For example, stating that you “improved customer service” is less impactful than “increased customer service response rates each quarter by 10–15%.” If you don’t have the exact information, estimate a realistic value.

Since the “Tell me about yourself” interview question is about getting to know you, it’s a good idea to share your personality with your interviewer—but not personal details. You may want to briefly mention hobbies that demonstrate intellectual development and/or community engagement (e.g., reading, music, sports league, volunteering) or those that showcase personal discipline and achievement (e.g., learning a new skill, training for a half marathon). Discussing personal interests is a good way to wrap up your response while maintaining a professional tone.

For your response to be clear and concise, you’ll want to make sure you organize your answer following a format or formula. There are two common formulas you may consider:

Both of these formulas work for your response, but you may choose one over the other based on the roles from your experience that are most relevant to the position you're interviewing for. For example, if your most recent role highlights many of the skills and qualifications that are required for the role you’re interviewing with, you may want to lead with the present. However, if you're making a career transition and your past experience is more closely related to the role than your current position, you may want to lead with your past.

The first hose pumps out water at a rate of

(161 gal)/(3 h) = 161/3 gal/h

The second hose fills the pool at a rate of

(161 gal)/(2 h) = 161/2 gal/h

Working together, they can fill the pool at a rate of

(161/3 + 161/2) gal/h = 805/6 gal/h

so that it would take

(161 gal) / (805/6 gal/h) = 161×6/805 h = 6/5 h = 1.2 h = 1 h 12 min

to fill the pool.