the length of each side of a cube is 3x+10 Write a polynomial in standard form to represent the surface area of the cube

The Length Of Each Side Of A Cube Is 3x+10 Write A Polynomial In Standard Form To Represent The Surface

Answers

Answer 1
Answer:  54x^2+360x+600

==========================================================

Explanation:

One square face has an area of

(length)*(width) = (3x+10)(3x+10) = 9x^2+30x+30x+100 = 9x^2+60x+100

after using the FOIL rule

Multiply that by 6 to get the total area of all 6 faces

6*(9x^2+60x+100) = 54x^2+360x+600

The surface area units are in square feet.


Related Questions

What is the relative maximum point for the function shown on the graph?
A)(0, -1)
B)(-3,0)
C(-2,-5)
D)(2,5)
Helpppp plzzz

Answers

Answer:

A)     (0, -1)

Step-by-step explanation:

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph)

(0, -1)

Which of the following expressions is equivalent to 4 to the negative 3rd power
?

Answers

Answer:

[tex]4 ^{-3}[/tex]

or

[tex]\frac{1}{4^3}[/tex]

or

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

four to the negative power of 3 is =  4⁻³

Step-by-step explanation:

The answer is A (the first one). 4 to the negative 3rd power is 4^-3

Consider the optimization problem of maximizing Cobb–Douglas production function: Q = 20 K1/2 L1/2, subject to cost constraint: K + 4L = 64.
a/ Use the method of Lagrange multipliers to find the maximum value of the production function;
b/ Estimate the change in the optimal value of Q if the cost constraint is changed to K + 4L = 65, and state the new maximum value of the production function.

Answers

Answer:

bsjsisisos9ss9w9s9s9

I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points

Answers

Answer:

Listen to the explanation

Step-by-step explanation:

Each dash on the line represents .10 so for the first one where it says .28 it should be about-

|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|

0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0

Do you get what I mean? Haha

Answer:

Assuming that the line goes from zero to one.

Will mark brainliest if CORRECT

Answers

Answer:

For every 7 hair bands there will be 4 ribbons

7 hair bands →→ 4 ribbons

14 hair bands →→ 8 ribbons

21 hair bands →→ 12 ribbons

etc.

If a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the final price of a pair of shoes costing $67.50 will be ?

Answers

Answer:

$10

Step-by-step explanation:

In other words, a 25% discount for an item with original price of $40 is equal to $10 Amount Saved Supose Have you received a amazon promotional code of 25 percent of discount.

The final price of the shoe after a series of discounts will be $27.33.

What is a percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the original price is $67.50.

The remaining price will be 60%,75%, and 90% after discounts. Then the final price of the product will be:-

Final price = 67.50 x 0.6 x 0.75 x 0.9

Final price = $27.33

Therefore, the final price of the shoe after a series of discounts will be $27.33.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

√45 is the distance between which of the following complex numbers?

Answers

Step-by-step explanation:

we don't see the complex numbers.

so, we cannot check their distances.

a suspicion, though.

sqrt(45) a distance between 2 complex numbers is

sqrt(a² + b²).

so,

a² + b² = 45

a nice combination of whole square numbers would be 6 and 3.

6² + 3² = 36 + 9 = 45

if that is the case, then that would mean one of the following committed numbers

6 + 3i

3 + 6i

-6 + 3i

6 - 3i

-6 - 3i

-3 + 6i

3 - 6i

-3 - 6i

one of these numbers must be the result of the subtraction of the 2 provided complex numbers.

remember

(a + bi) - (c + di) = a-c + (b-d)i

giải phương trình vi phân: y" - 5y' + 6y = 6x + 7

Answers

Неоднородное ДУ второго порядка. Детали в аттаче.

Determine the solution for the following equation: [tex](8x-8)^{\frac{3}{2} }=64[/tex]
a - x=3
b - x=5
c - 13
d - 65

Answers

Answer:

[tex]\text{A. }x=3[/tex]

Step-by-step explanation:

Recall the exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex]. Therefore, we can square both sides of the equation to get rid of the fraction in the exponent:

[tex]((8x-8)^{\frac{3}{2}})^2=64^2,\\(8x-8)^{\frac{3}{2}\cdot2}=64^2,\\(8x-8)^3=4096[/tex]

Take the cube root of both sides:

[tex]8x-8=16[/tex]

Add 8 to both sides:

[tex]8x=24[/tex]

Divide both sides by 8 to isolate [tex]x[/tex]:

[tex]x=\frac{24}{8}=\boxed{3}[/tex]

What is the solution to the equation 3 + 4/4y = 4?

Answers

Answer:

B. y= ¼

Step-by-step explanation:

3 + ^4√4y = 4

^4√4y =4-3

^4√4y = 1

^4√4y =^4√1

so, 4y = 1

y = ¼

pls help asap!!

For the following geometric sequence, find the recursive formula.

(-80,20,-5...)

Answers

Answer:

For the geometric sequence, it has two forms of formula

We are interested in the recursive formula now

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Step-by-step explanation:

For the geometric sequence, it has two forms of formula

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would be a n=a {n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Which statement best describes the areas and perimeters of the figures?

Answers

Answer:

The last one!

Step-by-step explanation:

most likely the last option

a system of regular payments for when something bad happens
a. Directly b. Reasonable c. Insurance
d. Tuition

Answers

the answer is b. insurance

ou are setting up a part-time business with an initial investment of $21,000. The unit cost of the product is $11.60, and the selling price is $20.00. (a) Find equations for the total cost C (in dollars) and total revenue R (in dollars) for x units.

Answers

Answer:

Total Cost, C(x) = 21000 + 11.60x

Revenue, R(x) = 20(x)

Step-by-step explanation:

Given the investment, which is fixed cost = $21000

Per unit cost of product = $11.60

Selling price = $20

Total cost is the sum of fixed cost and the variable cost:

Thus, TC = FC + VC

Let the number units = x

C(x) = 21000 + 11.60x

Now the total revenue:

R(x) = 20(x)

Find the volume of the frog queen building in Graz, Austria. The building is 18 meters long, 17 meters tall, and 18 meters wide

Answers

Answer: 5,508 m3

Step-by-step explanation:  V= 18 x 17 x 18 = 5,508 m3

Answer:5, 508

Step-by-step explanation:

V 18×18×17=5,508

A tree was 14 3/8 inches tall when it was first planted. Two years later, the tree was 21 1/8 inches tall. how much did the tree grow in the two years​

Answers

Answer:

In two years, the tree grew 27/4in.

Step-by-step explanation:

21 1/8 - 14 3/8 = 27/4in.

hope it helped :)

mark me brainliest!

me ayudan plissssssss

Answers

Answer:

73.74°

Step-by-step explanation:

sin Ф = opposite/hypotenuse

sin Ф = 24/25

[tex]sin^{-1}[/tex] (24/25) = 73.74

In a certain​ region, about 11​% of a​ city's population switches from phone service provider APP to phone service provider BPP each​ year, and about 5% of the populaton switches from BPP to APP each year. Show the system of linear equations that models this migration pattern to calculate the new amounts of the population with each service provider. In​ 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP. Find the predicted number of customers for each provider in 2022. Round to the nearest hundredth of a million when reporting the populations.

Answers

Answer:

The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]y(t) = y(0)r^t[/tex]

In which [tex]y(0)[/tex] is the initial value and r is the rate of change.

11​% of a​ city's population switches from phone service provider APP to phone service provider BPP each​ year, and about 5% of the populaton switches from BPP to APP each year.

This means that each year, the BPP amount increases by 11 - 5 = 6%, and the APP decreases by 6%. So the equations are:

BPP:

[tex]B(t) = B(0)(1 + 0.06)^t[/tex]

[tex]B(t) = B(0)(1.06)^t[/tex]

APP:

[tex]A(t) = A(0)(1 - 0.06)^t[/tex]

[tex]A(t) = A(0)(0.94)^t[/tex]

In​ 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP.

This means that [tex]A(0) = 1.75, B(0) = 2.05[/tex]

Thus

[tex]B(t) = 2.05(1.06)^t[/tex]

[tex]A(t) = 1.75(0.94)^t[/tex]

Find the predicted number of customers for each provider in 2022.

2022 - 2018 = 4, so we have to find A(4) and B(4).

[tex]B(4) = 2.05(1.06)^4 = 2.59[/tex]

[tex]A(4) = 1.75(0.94)^4 = 1.37[/tex]

The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.

Choose___on either side of the line.

Answers

Answer:

__ i dont get this question

Step-by-step explanation:


Find HG and HI. Pleaseeee help :/

Answers

Tan 60 = GI / HG
Root 3 = 11/HG
HG = 11/root 3
HG = 6.3cm

Sin 60 = 11/ HI
Root 3 / 2 = 11/HI
Root 3 x HI = 11 x 2
HI = 22/root 3
HI = 12.7cm

Regards,
ArmyCee:)

The graph of the function f(x) = 4 over 5 square root x is shown. What is the domain of the function?

Answers

Answer:

all real numbers greater than or equal to 0

Step-by-step explanation:

The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.

Activity 2 Direction: Complete the proof. Given: V is the midpoint of |E, angle| cong angle E Prove: V is the midpoint of GR Proof: Statements 1. V is the midpoint of IE, 21 2. 3. 4. AGVI ARVE 5. 6. V is the midpoint of GR Q3 Week No.9 Competency E R Reasons Definition of Midpoint E 1. 2. 3. Vertical Angle Theorem 5. CPCTC 6. 5 Code: M8GE-Illh-1, M8GE-Illi-j-1 Activity 3 Direction: Fill in the missing statements and reasons. Given: GA bisects angle G; overline GA perp L overline D Prove: overline GL cong overline GD Proof: Statements 1. GA bisects 4G 2 . 3 . 4. ZGAL and angle GAD are right angles 5 . 6. overline GA cong overline GA; 7. Delta GAL cong Delta GAD; 8. overline GL cong overline GD L D Reasons Bisector 1. 2. Definition of Angle 3. Given 4 . 5. All right angles are congruent. 6. 7 . 8.​

Answers

Answer:

[tex]1.\ Given[/tex]

[tex]2.\ IV \cong VE[/tex]

[tex]3.\ \angle GVI \cong \angle RVE[/tex]

[tex]4.\ ASA\ congruence[/tex]

[tex]5.\ GV \cong VR[/tex]

[tex]6.\ Proved[/tex]

Step-by-step explanation:

Given

See attachment for right question format

Required

Complete the blanks

1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.

So, the reason is Given

2. Midpoint means halfway. So, we can fill the statement column with:

[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE

or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR

3. Vertical angle are congruent. So, the statement is:

[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent

4. We have:

[tex]\triangle GVI \cong \triangle RVE[/tex] because

[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)

[tex]IV \cong VE[/tex] ---- congruent sides (S)

[tex]\angle GIV \cong \angle REV[/tex]  --- congruent angles (A)

The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence

5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]

Hence, both sides are congruent ----[tex]GV \cong VR[/tex]

6. The given statement has been prived

Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.6-in and a standard deviation of 1.1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 0.8% or largest 0.8%.1. What is the minimum head breadth that will fit the clientele?
2. What is the maximum head breadth that will fit the clientele?

Answers

Answer:

1. The minimum head breadth that will fit the clientele is of 3.95-in.

2. The maximum head breadth that will fit the clientele is of 9.25-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.6-in and a standard deviation of 1.1-in.

This means that [tex]\mu = 6.6, \sigma = 1.1[/tex]

1. What is the minimum head breadth that will fit the clientele?

The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.41 = \frac{X - 6.6}{1.1}[/tex]

[tex]X - 6.6 = -2.41*1.1[/tex]

[tex]X = 3.95[/tex]

The minimum head breadth that will fit the clientele is of 3.95-in.

2. What is the maximum head breadth that will fit the clientele?

The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.41 = \frac{X - 6.6}{1.1}[/tex]

[tex]X - 6.6 = 2.41*1.1[/tex]

[tex]X = 9.25[/tex]

The maximum head breadth that will fit the clientele is of 9.25-in.

What is the line of symmetry for the parabola whose equation is y = -x2 + x + 3?

x = -1
x = -1/2
x = 1/2

Answers

Answer:

[tex]x = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]y = -x^2 + x + 3[/tex]

Required

The line of symmetry

This is calculated using:

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

Where:

[tex]y = ax^2 + bx + c[/tex]

So, by comparison:

[tex]a = -1[/tex]      [tex]b = 1[/tex]    [tex]c = 3[/tex]

So, we have:

[tex]x = -\frac{1}{2 * -1}[/tex]

[tex]x = -\frac{1}{-2}[/tex]

[tex]x = \frac{1}{2}[/tex]

1/2 is correct, the formula to use is x= - b/2a :)

If H0 is rejected for an analysis of variance, what can we conclude?
a. We can conclude that all the population means have the same value.
b. We can conclude that at least one of the population proportions has a different value.
c. We can conclude that at least one of the population means has a different value than the other population means.
d. We can conclude that all the population means have different values.

Answers

Answer: We can conclude that at least one of the population means has a different value than the other population means.

Step-by-step explanation:

When the null hypothesis is rejected for an analysis of variance, we can then conclude that at least one of the population proportions has a different value.

For one-way analysis of variance, it should be noted that the null hypothesis is rejected when there is sufficient evidence which is used in making the conclusion that not all the means are equal and that there is a different value.

Right angle Trigonometry, please help me solve and explain!

Answers

Answer:

theta = arctan 8/5 = 58 degrees

Step-by-step explanation:

The tangent function relates the angle theta to the two side lengths 5 and 8:

tan theta = 8/5               We need to find the angle, theta.

Using a calculator with the inverse tangent funtion built-in, we find that the angle theta is

theta = arctan 8/5 = 58 degrees.

Which phrase describes the variable expression z+ 8?
O A. z increased by 8
O B. The quotient of 8 and z
C. The product of 8 and z
D. z decreased by 8
SUB

Answers

9514 1404 393

Answer:

  A. z increased by 8

Step-by-step explanation:

When a positive value is added, the original value (z) is increased.

  z + 8   ⇔   z increased by 8

i need help with this qnq

Answers

Answer:

The answer is 50km

Step-by-step explanation:

This is because IGH = TUV so IG = TU which is 50 kilometers.

Your answer in part (b) read "one and one- fourth" is called a mixed number since it has a whole number part and a fraction part. What does the word "and" indicate in the name of this fraction?

Answers

9514 1404 393

Answer:

  the end of the whole number and the beginning of the fraction

Step-by-step explanation:

The word "and" means the whole part and the fractional part should be considered together as having a value equal to their sum. It signifies the separation between the whole-number part and the fractional part.

__

It has the same meaning as when used in a decimal mixed number:

1.2 = "one and two tenths"

Do you guys know this

Answers

Answer:

Kindly check attached picture

Step-by-step explanation:

The expected graph is attached in the picture below :

Since additional fee is charged on only luggage exceeding 50 pound weight :

The inequality is :

Additional fee applied to :

Weight > 50

Hence x our arrows starts from 50 to the right of the number line

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