a cube has volume 125 cubic inches, what is the surface area of the cube

Answer:

g(-3) = 20

g(2) = 10

g(7) = 100

Step-by-step explanation:

g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).

g(x) = 2f(x)

g(x) = 2(x² + 1)

Multiply.

g(x) = 2x² + 2

Now that we have g(x) we just substitute values in the function.

g(-3) = 2(-3)² + 2

        = 2(9) + 2

        = 18 + 2  

        = 20

g(2) = 2(2)² + 2

        = 2(4) + 2

        = 8 + 2  

        = 10

g(7) = 2(7)² + 2

        = 2(49) + 2

        = 98 + 2  

        = 100

Answer:

ehhhh probably C cuz it makes more sense

Answer:

the top of the ladder is approx 8.485 meters off the ground

written explanation included

Step-by-step explanation:

I should probably write this out in one note but bear with me, please.

Assuming the ground and the wall meet at a 90° angle

therefore the angles of the triangle formed are 90°, 30°, and 60°

Answer:

B

C

B, C

Step-by-step explanation:

Equation for each tree's growth.

A: y = 4x + 5

You are correct.

B: Your slope is correct, 4.5

Equation of height: y = 4.5x + 3

C: It starts at 10 inches, so in y = mx + b, b = 10.

Now we find the slope from points on the graph (0, 10) and (3, 20).

slope = m = (20 - 10)/(3 - 0) = 10/3

Equation: y = 10x/3 + 10

Questions:

Which tree is growing fastest:

The slope is the rate of growth.

Answer: B since it has the greatest slope.

Tallest tree when planted:

The y-intercept is the4 initial height.

Answer: C since it was 10 inches tall at planting.

Challenge:

A: 4x + 5 = 4(6) + 5 = 29

B: 4.5x + 3 = 4.5(6) + 3 = 30

C: 10x/3 + 10 = 10(6)/3 + 10 = 30

Trees B and C were both 30 inches at 6 months. Tree A was 29 inches.

Answer: B and C

Answer:

5/7 - 2/6 = 16/42

Choice 4^th

Step-by-step explanation:

Given equation:

5/7 - []/6 = 16/42

To Find:

The missing numerator

Solution:

Let us assume that the missing numerator is x.

Then the equation will be:

[tex] = > \cfrac{5}{7} - \cfrac{x}{6} = \cfrac{16}{42} [/tex]

Solve the equation to get our solution.

[tex] = > \cfrac{5}{7} - \cfrac{1x}{6} = \cfrac{16}{42} [/tex]

You'll need to re-write this equation as:

[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} = \cfrac{8}{21} [/tex]

Subtract 5/7 from both sides:

[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} - \cfrac{5}{7} = \cfrac{8}{21} - \cfrac{5}{7} [/tex]

[tex] = > \cfrac{ - 1}{6} x = \cfrac{ - 1}{3} [/tex]

Multiply both sides by 6/-1:

[tex] = > \cfrac{ \cancel{- 1}}{ \cancel6} x \times \cfrac{ \cancel6}{ \cancel{- 1}} = \cfrac{ \cancel{- 1}}{ \cancel3} \times \cfrac{ \cancel6 {}^{2} }{ \cancel{ - 1} }[/tex]

[tex] = > \boxed{ x = 2}[/tex]

Hence,

5/7 - 2/6 = 16/42

Choice 4^th

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

The ratio in the form of 1 :n is 1:300.

Ratio of two number A and B is the comparison of A with respect to B and when two ratios are equal they are said to be in proportion.

It is given that a ratio is

6mm : 180cm

It has to be simplified in the form of

1:n

1 cm = 10mm

therefore

180 cm = 1800 mm

6mm:180cm = 6/ 1800

= 1/300

Therefore the ratio in the form of 1 :n is 1:300.

To know more about Ratio

https://brainly.com/question/13419413

#SPJ1

Answer:

2996

Step-by-step explanation:

5x + 4x = 6741

9x = 6741

x = 6741/9

x = 749

to get the no votes,

4x i.e 4*749

=>  4*749 = 2996

hope this helps :)

Answer:

2996

Step-by-step explanation:

Formulate

Based on the given conditions, formulate:

78 - (-14)

Calculate

78 - (-14)

Determine the sign

78 +14

Calculate

92

SO THE ANSWER IS 92

Answer:

C.

Step-by-step explanation:

9+ 15+ 17+ 18+6+ 20+ 8+ 5+ 18+ 18+ 10+ 5+ 14+ 12+ 10+ 7=192

192/16=12

Hope this helps!

If not, I am sorry.

The possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.

First we take a look of the properties of the likely names;

Properties of Parallelograms

Properties of Quadrilaterals

Properties of Rectangles

Properties of Rhombus

Properties of Trapezoids

From the properties, the shape is not a rectangle because each of the interior angle is not 90 degrees. It is not a Rhombus because all its sides are not equal. It is not a Trapezoid because only the bases are parallel to each each other.

Hence, the possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.

Learn more about Quadrilaterals here: https://brainly.com/question/6321910

#SPJ1

Answer:

two groups

Step-by-step explanation:

you just divide the six students into two groups of two

Answer:

3/2,6

Step-by-step explanation:

Answer:

answer is 6/4 because 18/6=3,12/4=3 so,

The answer is f of 5 = negative 1. The correct answer is option B

The complete graph is attached with the answer below.

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.

Therefore answer is f of 5 = negative 1. The correct answer is option B

To learn more about graphing function from here

brainly.com/question/27757761

#SPJ1

Answer:

The answer is f of 5 = negative 1.

Step-by-step explanation:

Edge

Answer:

Karen expects the vehicle to depreciate by 600 each year.

Step-by-step explanation:

Given:

- initial value: 4400

- salvage value: 800

- another six years

It is expected to depreciate from 4400 to 800 in 6 years.

The depreciation per year is the ratio

depreciation per year = (total depreciation) / (number of years)

Total depreciation is the change in value, so the depreciation per year is

 (4400 - 800)/6 = 600

The sample space S =  {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}

It is defined as the space in which all possible outcomes are represented in a list form for a particular event.

We have:

A number cube with faces labeled from 1 to 6 will be rolled once.

Let S is the sample space:

As we know, the sample space is the set of all possible outcomes:

S = {1, 2, 3, 4, 5, 6}

The total number of outcomes:

n(S) = 6

The outcomes for the event of rolling the number 2.

E = {2}

n(E) = 1

Thus, the sample space S =  {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}

Learn more about the sample space here:

https://brainly.com/question/17144524

#SPJ1

Changing the confidence level from 95% to 90% will make the necessary sample size decrease if the margin of error stays the same.

From the question, we understand that the confidence level decreases from 95% to 90%

When the confidence level decreases, the sample size increases because the standard error increases

Hence, the statement that completes the blank is decrease

Read more about confidence levels at:

https://brainly.com/question/17097944

#SPJ4

By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.

If y varies directly with x, then we can write the relation as:

y = k*x

Where k is the constant of proportionality.

First, we know that when x = 4, we have y = 8, replacing that we get:

8 = k*4

Solving for k, we get:

k = 8/4 = 2.

Then the relation between x and y is:

y = 2*x

When x = 16, we have:

y = 2*16 = 32

Then the correct option is a.

If you want to learn more about proportional relations:

https://brainly.com/question/12242745

#SPJ1

Answer:

25

Step-by-step explanation:

35 days is 5 weeks , 7 days is 1 week

Based on the calculations, the volume of this louvre pyramid is equal to 8,983 cubic meter..

Given the following data:

Base width = 35 meters.

Height = 22 meters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × base area × height

For the base area, we have:

Area = w²

Area = 35² = 1,225 m².

Substituting the parameters into the formula, we have;

Volume = 1/3 × 1,225 × 22

Volume = 1/3 × 26,950

Volume = 8,983 cubic meter.

Read more on pyramid here: brainly.com/question/16315790

#SPJ1

Answer:

x ≈ 4.4

Step-by-step explanation:

using the tangent ratio in the right triangle

tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{UV}{VW}[/tex] = [tex]\frac{4.1}{x}[/tex] ( multiply both sides by x )

x × tan43° = 4.1 ( divide both sides by tan43° )

x = [tex]\frac{4.1}{tan43}[/tex] ≈ 4.4 ( to the nearest tenth )

The value of x, Round to nearest tenth is,

⇒ x = 4.4 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A triangle is shown in image.

Now, We can formulate;

tan 43° = Opposite / Base

⇒ tan 43° = 4.1 / x

⇒ 0.932 = 4.1 / x

⇒ x = 4.1 / 0.932

⇒ x = 4.39

⇒ x = 4.4 units

Thus, The value of x, Round to nearest tenth is,

⇒ x = 4.4 units

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer: y > -1/2x + 2

Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.

Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis

Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}

(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)

Answer:

Part A)

[tex]\displaystyle z_6 = 9609600000x^{10}[/tex]

Part B)

[tex]z_4 = 10500 x^9[/tex]

Step-by-step explanation:

Recall the binomial expansion theorem:

[tex]\displaystyle (x+y)^n = \sum_{k=0}^{n}{n \choose k} x^{n-k} y^k[/tex]

Part A)

Our expression is equivalent to:

[tex]\displaystyle (2x+5)^{15} = \sum_{k = 0}^{15} {15 \choose k} (2x)^{15-k}\cdot 5^k[/tex]

To find the sixth term, let k  = 5. Therefore, the sixth term is:

[tex]\displaystyle \begin{aligned} z_6 &= {15\choose 5} (2x)^{15-5}\cdot 5^5 \\ \\ & = {15\choose 5}x^{10} \cdot (2)^{10}\cdot 5^5 \\ \\ &= 9609600000x^{10}\end{aligned}[/tex]

Part B)

Likewise:

[tex]\displaystyle \begin{aligned} \left(x^2 + \frac{5}{x}\right)^9 = \sum_{k=0}^9 {9\choose k}(x^2)^{9-k}\left(\frac{5}{x}\right)^{k}\end{aligned}[/tex]

To find the fourth term, let k = 3. Therefore, the fourth term is:

[tex]\displaystyle \begin{aligned} z_4 & = {9\choose 3}\left(x^2\right)^{9-3} \left(\frac{5}{x}\right)^{3} \\ \\ & = {9\choose 3}x^{12} \cdot \frac{5^3}{x^3} \\ \\ & = 10500x^9\end{aligned}[/tex]

The income that's made based on the equation when 1 comb is sold is $0.5.

From the information given, the equation is given as y = x/2. In this case, it was illustrated that the income is depicted based on the combs sold.

Therefore, the income by selling 1 comb will be:

y = 1/2

y = $0.5

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

230??

Step-by-step explanation:

If C =270°

And b=40°

270-40= 230

Actually belive the one on top

Answer:

32 sq inches

Step-by-step explanation:

The length of major arc ACD in the circle with center D is given as (325/36)π feet

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of major arc ACD = [(360 - 35) / 360) * 2π(10/2) = (325/36)π feet

The length of major arc ACD in the circle with center D is given as (325/36)π feet

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

its 150

Step-by-step explanation:

the "ten" is 5 to round it it will have to be the number to the right, which is 0 if its below 4 its changed to 0 and nothing happens to the ten

Answer:

yes of course it was a question about the same as you can use it for a while now I am with you forever