Find the height of a rectangular prism if the surface area is 868, the width is 7 and the length is 31.

A.) 434
B.) 2.85
C.) 76
D.) 5.7​

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Question \: and \: Choices:\:\:\:\:\:\:\:\:\:}}}}[/tex]

Find the height of a rectangular prism if the surface area is 868, the width is 7 and the length is 31.

A.) 434

B.) 2.85

C.) 76

D.) 5.7

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

[tex]\huge\colorbox{pink}{\color{black}{\boxed{D.) 5.7}}}[/tex]

[tex]\large\purple{ChaEunWoo2009}[/tex]

#CarryOnLearning


Related Questions

Need Help On This Problem PLZ :-)

Answers

Answer:

y = 9 + 19x

Step-by-step explanation:

To find the equation matching a set of data, you simply try a few values for x and see if by solving that side of the equation you get the value of y.  If you do, you found your equation.

You have a big advantage here... since you have the value of y when x = 0.

When x = 0, y = 9, that's a very important data to have to simplify your research.

Let's try the value of 0 for x in each of the given equations:

y = 18 + 10 (0) = 18  --- NO

y = 9 + 19 (0) = 9 --- YES!  We can confirm with another value of x:

y = 9 + 19 (1) = 28 --- YES! Confirmed!

y = 9 + 19x is your answer!

James invests $20,000 in an account that offers a compound interest rate of
8.3% per year. Which of the following is the correct equation for how much
James will have after 6 years?

Answers

James will have $32,270.13 after 6 years

Answer:

[tex]y=20000(1.083)^6[/tex]

Step-by-step explanation:

Let y represents the amount James have after 6 years,

Given,

Principal amount, P = $ 20,000,

Compound rate of interest per year, r = 8.3 %,

Thus, the amount after x years would be,

[tex]A=P(1+\frac{r}{100})^x[/tex]

[tex]=20,000(1+\frac{8.3}{100})^x[/tex]

[tex]=20000(1.083)^x[/tex]

Therefore, the amount after 6 years would be,

[tex]y=20000(1.083)^6[/tex]

Which is the correct equation that represents the amount, James will have after 6 years.

Which system of equations has no solutions?

Answers

Answer:

A

Step-by-step explanation:the lines do not cross therefor the two equations do not share a solution.

Answer:

A

Step-by-step explanation:

Which is the standard form of the equation of a parabola with a focus of (0, –3) and its vertex at the origin?

Answers

Answer:

A : x^2 = -12y

Step-by-step explanation:

TO ALL MY EDGE PEOPLE

Answer:

a) x^2=-12y

Step-by-step explanation:

Different groups of 100 graduates of a business school were asked the starting annual salary for their first job after graduation, and the sampling variability was low. If the average salary of one of the groups was $96,000, which of these is least likely to be the average salary of another of the groups?

Answers

Final answer:

Given the low sampling variability, the average annual salary for the other group of the business school graduates is most likely to be close to $96,000. Thus, extreme values, significant higher or lower than $96,000, are less likely.

Explanation:

In the domain of statistics, when the sampling variability is low, it means that most of the samples drawn from a population will have averages (means) that are close to the population mean. The data from the samples will be clustered around a single value.

In this context, given that the average salary of one group was $96,000, the salaries of the other groups are also likely to be around this value given the low sampling variability. Therefore, an average annual salary that is significantly higher or lower than $96,000 for another group would be least likely.

By using the concept of sampling variability, we could reasonably predict that extremes, such as $40,000 or $150,000, would be highly unlikely as average salaries for the other groups if the business school graduates' salaries are distributed normally and the sampling variability is indeed low.

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I REALLY REALLY REALLY NEED HELP PLEASEEE
BRAINLIEST+THANKS**********

Answers

Answer:

The correct answer option is D. 0.42.

Step-by-step explanation:

We are given the results of a survey in which people were asked if they prefer reading books or e-books.

We are to find the marginal frequency of the number of people who prefer to read books.

For that, we will divide the total number of people who prefer reading books by the total number of people surveyed.

Marginal frequency = 105/250 = 0.42

Please answer and explain!

multiply and simplify -3x^2y^2 * y^4x3
a. -3x^5y^6
b. -3x^6y^2
c. 9x^5y^2
d. -3x ^5y^2

Answers

Answer:

a. [tex]-3x^{5}y^{6}[/tex]

Step-by-step explanation:

We want to multiply and simplify:

[tex]-3x^2y^2\times y^4x^3[/tex]

We rearrange the product to obtain:

[tex]-3x^2\times x^3\times y^2\times y^4[/tex]

Recall that:

[tex]a^m\times a^n=a^{m+n}[/tex]

We apply this property to obtain:

[tex]-3x^{2+3}y^{2+4}[/tex]

We simplify to obtain:

[tex]-3x^{5}y^{6}[/tex]

can anyone solve this for me pleaee ??​

Answers

Let Poly = X

Andy gets twice as much as Poly so Andy = 2X

Pheobe gets three times as much as Andy, so she is 3(2x) = 6X

Now add them together to equal 270:

X + 2X + 6X = 270

Simplify:

9X = 270

Divide both sides by 9:

X =  270 /9

X = 30

Poly = X = 30

Andy = 2X = 2(30) = 60

Pheobe = 6X = 6(30) = 180

Keisha is solving the equation 7 to the power of x equals 9. Which equation shows the first step she should take?

Question 4 options:

log 7 to the power of x equals log 9

log 7 to the power of x equals 9

7 x equals log 9

log 7 to the power of x equals ln 9


Mary is solving the equation 2 to the power of n end power minus 3 equals 83. Her first three steps are shown:

Step 1: 2 to the power of n end power minus 3 equals 83
Step 2: 2 to the power of n equals 86
Step 3: ln 2 to the power of n end power equals ln 86

Which equation could be Step 4?

Question 5 options:
n equals ln 86 minus ln 2

ln 2 equals n ln 86

n plus ln 2 equals ln 86

n ln 2 equals ln 86

What is the exact solution of 2 e to the power of x equals 14?

Question 6 options:

ln 7

ln 12

2 ln 14

2 ln 7

Answers

Answer:

The correct answers are:

Question 4: the first step Keisha should take is: log to the power of x equals log 9.

Question 5: step 4 could be n ln 2 equals ln 86

Question 6: the exact solution is x=ln(7)

Step-by-step explanation:

Ok,

Question 4: the equation that shows the first step Keisha should take is:

[tex]7^{x}=9[/tex]

[tex]log(7^{x} )=log(9)[/tex]

[tex]x(log(7))=log(9)[/tex] (applying the properties of logarithms)

[tex]x=\frac{log(9)}{log(7)} =1.129[/tex]

Solution: the first step Keisha should take is: log to the power of x equals log 9.

Question 5: Her first three steps are:

[tex]2^{n}-3=83[/tex]

[tex]2^{n}-3+3=83+3[/tex] (adding 3 to both sides)

[tex]2^{n}=86[/tex]

[tex]2^{n}-3+3=83+3[/tex]

[tex]nln(2)=ln(86)[/tex]

Solution: step 4 is: [tex]nln(2)=ln(86)[/tex] (applying the properties of logarithms)

Question 6: The exact solution of 2 e to the power of x equals 14 is:

[tex]2e^{x}=14[/tex]

[tex]\frac{2e^{x} }{2} =\frac{14}{2}[/tex] (dividing both sides by 2)

[tex]e^{x}=7[/tex]

[tex]xln(e)=ln7[/tex] (ln(e)=1)

[tex]x=ln(7)[/tex]

Solution: [tex]x=ln(7)[/tex]

For Keisha's equation, the first step involves taking the logarithm of both sides, and for Mary's equation, the fourth step involves taking the natural logarithm. The exact solution for the third equation is x = ln 7.

Question 4:

Keisha is solving the equation [tex]\(7^x = 9\)[/tex]. The correct first step is:

[tex]\[ \log(7^x) = \log(9) \][/tex]

So the correct option is:

[tex]\[ \text{log } 7^x = \text{log } 9 \][/tex]

Question 5:

For Mary's equation [tex]\(2^n - 3 = 83\)[/tex], Step 4 involves taking the natural logarithm:

[tex]\[ n \ln 2 = \ln 86 \][/tex]

So the correct option is:

[tex]\[ n \ln 2 = \ln 86 \][/tex]

Question 6:

The equation [tex]\(2e^x = 14\)[/tex] can be solved by taking the natural logarithm:

[tex]\[ x = \ln \left(\frac{14}{2}\right) \][/tex]

Simplifying this gives:

[tex]\[ x = \ln 7 \][/tex]

So the correct option is:

[tex]\[ \ln 7 \][/tex]

how much is 5/9 of -3/5

a.1/2
b.-1/3
c.1/7
d.-25/27

Answers

Answer:

b.-1/3

Step-by-step explanation:

Is means equals and of means multiply

W =5/9 * (-3/5)

W = -3/9

W = -1/3

each leg of a 45-45-90 triangle measures 14 cm what is the length of the hypotenuse

Answers

ANSWER

The hypotenuse is 14√2 units.

EXPLANATION

Let the hypotenuse be x, then we can use the Pythagoras Theorem to find the length of the hypotenuse.

We have from the question that, each leg of the 45-45-90 triangle measures 14 cm.

Then, the Pythagorean Theorem, gives:

[tex] {x}^{2} = {14}^{2} + {14}^{2} [/tex]

[tex] {x}^{2} = 2 \times {14}^{2} [/tex]

Take positive square root to obtain;

[tex]x = \sqrt{ {14}^{2} \times 2} [/tex]

This simplifies to

[tex]x = 14 \sqrt{2} [/tex]

The length of the hypotenuse of the 45-45-90 triangle is 19.796 cm.

In a 45-45-90 triangle, the two legs are congruent (they have the same length) and the length of the hypotenuse is equal to the length of the legs multiplied by the square root of 2.

Given that each leg of the triangle measures 14 cm, the length of the hypotenuse can be calculated as follows:

Length of hypotenuse = Length of leg × √2

Length of hypotenuse = 14 cm × √2

Using a calculator or approximating the square root of 2 to 1.414, we can find:

Length of hypotenuse ≈ 14 cm × 1.414

Length of hypotenuse ≈ 19.796 cm (rounded to three decimal places)

Therefore, the length of the hypotenuse of the 45-45-90 triangle is approximately 19.796 cm.

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find the exact value of cos15

Answers

[tex]\cos(15^\circ) = \cos(45^{\circ}-30^{\circ}) = \cos(45^{\circ})\cos(30^{\circ})+\sin(45^{\circ})\sin(30^{\circ}) = \\ \\ =\dfrac{\sqrt 2}{2}\cdot \dfrac{\sqrt 3}{2}+\dfrac{\sqrt 2}{2}\cdot \dfrac{1}{2} = \dfrac{\sqrt 6 +\sqrt 2}{4}[/tex]

Answer:

[tex]\cos (15)=\frac{\sqrt{6}+\sqrt{2}}{4}[/tex]

Step-by-step explanation:

We want to find the exact value of

[tex]\cos 15\degree[/tex]

We rewrite this expression using compound angles  

[tex]\cos (45\degree-30\degree)[/tex]

Recall that:

[tex]\cos (A-B)=\cos A\cos B+\sin A\sin B[/tex]

We apply this property to obtain:

[tex]\cos (45-30)=\cos 45\cos 30+\sin 45\sin 30[/tex]

[tex]\cos (15)=\frac{\sqrt{2}}{2} \times \frac{\sqrt{3}}{2}+\frac{\sqrt{2}}{2} \times \frac{1}{2}[/tex]

[tex]\cos (15)=\frac{\sqrt{6}+\sqrt{2}}{4}[/tex]

hey can i get some help from you guys?

Answers

It’s number 2. 16 divide 2 is 8. 4 multiply 2 is 8. So it’s the second choice

For this case we must find an expression equivalent to:

[tex](x ^ {\frac{1}{4}} * y ^ {16}) ^ {\frac {1} {2}}[/tex]

By definition of power properties we have to:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

Then, rewriting the expression:

[tex](x ^ {\frac {1 * 1} {4 * 2}} * y ^ {\frac {16 * 1} {2}}) =\\x ^ {\frac {1} {8}} * y ^ {\frac {16} {2}}) =\\x ^ {\frac {1} {8}} * y ^ {8}[/tex]

Answer:

Option B

Help please (10 points)

Answers

Answer:

A = 13 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh  where b is the length of the base and h is the height

A = 1/2 (6.5) * 4

A = 13 cm^2

what ratio is the same as 2/3?

Answers

Hello there hope you are having a good day :) Question : What ratio is the same as 2/3?So 2:3 which is  approximately 0.66666666  as could be : 4:6, 6:9, 8:12.

The ratios 4/6 and 8/12 are equivalent ratio of 2/3 which we obtain by multiplying or dividing both numerator and denominator by same number.

To find a ratio that is the same as 2/3, we can multiply or divide both the numerator and the denominator by the same non-zero number.

This will result in an equivalent ratio.

If we multiply both the numerator and denominator of 2/3 by 2, we get:

(2 × 2) / (3 × 2)

= 4/6

Therefore, the ratio 4/6 is the same as 2/3.

Similarly, if we multiply both the numerator and denominator of 2/3 by 2, we get:

8/12

So, the ratio 8/12 is also the same as 2/3.

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Please help I’m very confused

Answers

Hello! The interquartile range would be 5°

You must subtract Quartile one from quartile 3 to find iqr

lots of points and pretty easy!!!!​

Answers

The complement of A would be the elements in U that are not in A.

A is 2, 4, 6, 8

Remove those numbers from U for the complement.

The complement would be {1, 3, 5, 7, 9, 10}

Answer: The complement is 1, 3, 5, 7, 9, 10

I hope that this helps! :3

Helppppp meehhehhhhhhhh

Answers

ANSWER

B. 10

EXPLANATION

We need to find the value of x first.

It was given that the perimeter of triangle XYZ is 24.

This means that:

XY+YZ+XZ=24

we substitute the expression in terms of x to get;

[tex](5x - 1) + (13 - x) = 24[/tex]

This implies that

[tex]5x - x = 24 - 13 + 1[/tex]

[tex]4x = 12[/tex]

Divide both sides by 4 to get;

[tex]x = 3[/tex]

|WY|=|ZX|=13-3=10

Answer:

WY = 10 units

Step-by-step explanation:

From the figure we can see a rectangle WXYZ.

Diagonals of rectangle are equal.

It is given that, Perimeter of triangle XYZ = 24

XY + YZ = 5x - 1 and XZ = 13 - x

To find the value of x

Perimeter of ΔXYZ = XY + YZ + XZ

24 = 5x - 1 + 13 - x

4x + 12 = 24

4x = 12

x = 12/4 = 3

x = 3

To find the value of WY

We have WY = XZ

XZ = 13 - x

 = 13 - 3 = 10

Therefore WY = XZ = 10 units

A straight road connects the towns of Winridge and Upper Lansbury are (6,10). If Ty drives from Winridge to Upper Lansbury at an average speed of 40 miles per hour, will the trip take more than an hour? Explain

Answers

Answer:

The trip will take more than one hour

Step-by-step explanation:

The complete question is

A straight road connects the towns of Winridge and Upper Lansbury. On a map on which each unit represents 10 miles, the coordinates of Winridge are (8,4) and the coordinates of Upper Lansbury are (6,10). If Ty drives from Winridge to Upper Lansbyet at an average speed of 40 miles per hour, will the trip take more than an hour? Explain your reasoning

we know that

The speed is equal to divide the distance by the time

so

s=d/t

Solve for t

t=d/s ----> the time is equal to divide the distance by the speed

step 1

Find the distance

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

(8,4), (6,10)

substitute

[tex]d=\sqrt{(10-4)^{2}+(6-8)^{2}}[/tex]

[tex]d=\sqrt{(6)^{2}+(-2)^{2}}[/tex]

[tex]d=\sqrt{40}[/tex]

[tex]d=2\sqrt{10}\ units[/tex]

Convert to miles

[tex]d=2\sqrt{10}*10=20\sqrt{10}\ miles[/tex]

[tex]d=63.2\ miles[/tex]

step 2

Find the time

we have

s=40 miles/hour

d=63.2 miles

t=d/s -----> t=63.2/40=1.58 hours

1.58 hours > 1 hour

therefore

The trip will take more than one hour

What is the area of the figure below?

A. 22 cm2
B. 24 cm2
C. 48.5 cm2
D. 56 cm2

Answers

Answer:

C. 48,5 cm²

Step-by-step explanation:

The area is 8×4 + 3×3 + 5×3/2 = 32+9+15/2 = 41+7,5 = 48,5 cm²

A painter leans a 13ft ladder against a house. The base of the ladder is 5ft from the house. How high on the house does the ladder reach?

Answers

Answer:

13,92838827718412‬ft

Step-by-step explanation:

a² + b² = c²

a = 13ft

b = 5ft

169 + 25 = 194

c = √194

c = 13,92838827718412‬ft

The exact value of cos5pi/12 is:​

Answers

Step 1: Convert [tex]\frac{5\pi }{12}[/tex], which is in radians into degrees. To convert it multiply by [tex]\frac{180}{\pi }[/tex]

[tex]\frac{5\pi }{12} =\frac{180}{\pi }[/tex]

900/12

75

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = [tex]\frac{\sqrt{2} }{2}[/tex]

cos30 =[tex]\frac{\sqrt{3} }{2}[/tex]

Step 3: Add the cos45 and cos30 to get cos5pi/12

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

Hope this helped!

Whats the point of slope?

Answers

Answer:

The slope of this line is 1/5

Misha wrote the quadratic equation 0=-x2+4x-7 in standard form. what is the value of c in her equation

Answers

Answer:

Final answer is c=-7.

Step-by-step explanation:

Given equation is [tex]0=-x^2+4x-7[/tex].

Now question says that Misha wrote the quadratic equation 0=-x2+4x-7 in standard form. Now we need to find about what is the value of c in her equation.

We know that standard form of quadratic equation is given by [tex]ax^2+bx+c=0[/tex].

compare given equation with the standard form, we find that -7 is written in place of +c

so that means +c=-7

or c=-7

Hence final answer is c=-7.

2{[11(a-2)+12]-[2(5a-3)+a)}. Help me solve this please

Answers

Let's simplify step-by-step.

2(11(a−2)+12)−(2(5a−3)+a)

Distribute the Negative Sign:

=2(11(a−2)+12)+−1(2(5a−3)+a)

=2(11(a−2)+12)+−1(2(5a−3))+−1a

=2(11(a−2)+12)+−10a+6+−a

Distribute:

=(2)(11(a−2))+(2)(12)+−10a+6+−a

=22a+−44+24+−10a+6+−a

Combine Like Terms:

=22a+−44+24+−10a+6+−a

=(22a+−10a+−a)+(−44+24+6)

=11a+−14

Answer:

=11a−14

In a restaurant a diner orders an entree with vegetables foe 10.50, dessert foe 1.50, and coffee for 0.50. If the tax on the meals is 6%, what tax should be added to his check?

Answers

Answer:

$0.75 tax

Step-by-step explanation:

1. Find total cost of meal: $10.50 + $1.50 + $0.50 = $12.50

2. Find tax of meal: $12.50 * 6% = 12.5 * 0.06 = $0.75

Which two cloud numbers round to 8 7.66 7.19 9.47

Answers

Answer:

It would be 7.66 and 7.19 because you can not round downward although I am a little confused on how 7.19 is able to round upwards But I am positive 7.66 rounds up to 8

Step-by-step explanation:

Triangle ABC is located at A(-2,2), B(-2,4), and C (0,0). The triangle is then transformed using the rule (x+3, y+2) to form the image A’B’C. What are the new coordinates of A’, B’, and C’

Answers

Answer:

see explanation

Step-by-step explanation:

The rule (x + 3, y + 2) means add 3 to the original x- coordinate and add 2 to the original y- coordinate, that is

A(- 2, 2) → A'(- 2 + 3, 2 + 2) → A'(1, 4)

B(- 2, 4) → B'(- 2 + 3, 4 + 2) → B'(1, 6)

C(0, 0) → C'(0 + 3, 0 + 2) → C'(3, 2)

PLS HELP 20 POINTS
A) How long does it take for it to rotate 225 degrees?

B) How long does it take to rotate 9π radians?

C) The diameter of the Earth is approximately 7920 miles. How far will a point on the equator rotate in 2 hours?

Answers

Answer:

A)

15 hours

B)

108 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.

A)

In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;

(24/360) = (x/225)

solving for x;

x = (24/360) * 225 = 15 hours

B)

In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;

(24/2π radians) = (x/9π radians)

Solving for x;

x = (24/2π radians)*9π radians = 108 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

You estimate that there are 59 marbles in a jar. The actual amount is 47 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

25.5%

Step-by-step explanation:

% error = | estimate - actual | / actual × 100%

% error = | 59 - 47 | / 47 × 100%

% error ≈ 25.5%

Answer:

20.3%

Step-by-step explanation:

The formula for percent error is the experimental value minus the theoretical value divided by the theoretical value all times 100.

Experimental - Theoretical

------------------------------------------ x 100

         Theoretical

−12

------- ×100

59

 

=−0.20339×100

=−20.339

=20.339%

=20.3% error

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