Write and simplify an expression for the surface area of a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards. What is the surface area if the height is 4 yards?

Answers

Answer 1

Answer:

Surface Area= (18.2+12.2h) square yardsWhen h=4 yds, Surface Area=67 square yards

Step-by-step explanation:

Given the length(l), height(h) and width(w) of a rectangular prism.

Surface Area=2(lw+lh+wh)

For a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards.

Surface Area[tex]=2(2.6*3.5+2.6h+3.5h)[/tex]

[tex]=2(9.1+2.6h+3.5h)\\=18.2+5.2h+7h\\[/tex]

Surface Area= (18.2+12.2h) square yards

If the height, h=4 yards

Then the surface area of the rectangular prism

=18.2+12.2h

=18.2+12.2(4)

=18.2+48.8

=67 square yards


Related Questions

A triangle xyz has vertices
X (6,4), Y (5,-3) and (5,-1).
Find
whether
it's a
scalene triangle​

Answers

Answer:

yes scalene as xy=7cm

xz=5cm

yz=2cm

Step-by-step explanation:

by the graph

hope this helps plzz mark me brainliest

Answer:

Scalene

Step-by-step explanation:

Let's find XY, XZ and YZ

XY = √[(6-5)^2 + (4-(-3)] = √[(1^2 ) + (7^2)]=√(1+49) =√50 = 7.0711

YZ = √[(5-5)^2 + (-3 -(-1))^2 ]=√[(0^2) + (-2)^2] =√(0 + 4) = 2

XZ = √[(6-5)^2 + (4-(-1)^2] = √[(1^2 ) + (5^2)]=√(1+25) =√26 = 5.099

By observation XY , XY and YZ are not the same; hence none of the sides is equal

A scalene triangle has no side equal

Calculate the indicated value of each function. f(x) = –15x^2+9. Find f(12).

Answers

Answer:

-2151

Step-by-step explanation:

f(x) = –15x^2+9.

Let x = 12

f(12) = -15 ( 12)^2 +9

       = -15 (144) +9

       = -2151

Answer:

-2151

Step-by-step explanation:

F(x) = -15x^2 + 9

F(12) = -15 (12)^ 2 + 9

= -15 * 144 + 9

= -2160 + 9

= -2151

A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?

I. Random condition

II. Normal condition

III. 10% condition

A) I

B) II

C) I and III

D) II and III

E) I, II, and III

Answers

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.

Here, the sample size is 18 and the population is 1500. Therefore,

[tex] \frac{18}{1500} * 100 = 1.2 [/tex]

Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.

The correct option is C, because only I & III were satisfied.

The average human gestation time is 266 days from conception. A researcher suspects that proper nutrition plays an important role and that low-income women with inadequate food intake would have shorter gestation times even when given vitamin supplements. A random sample of 20 low-income women who were given vitamin supplement throughout their pregnancy had a gestation time from conception of x - 256 days The researcher's alternative hypothesis for the test is:______.
a. Ha : μ =/ 256.
b. Ha: μ = 266.
c. Ha : μ < 266.
d. Ha : μ < 256.

Answers

Answer:

c. Ha : μ < 266.

Step-by-step explanation:

Null hypothesis: The mean value is x.

Alternate hypothesis. The mean value is different than x, greater than x, smaller than x...

In this question:

Average of 266 days, so the null hypothesis is that the mean is 266.

In the sample:

He suspects that the generation time is less than 266. So

c. Ha : μ < 266.

I run a book club with $n$ people, not including myself. Every day, for $365$ days, I invite four members in the club to review a book. What is the smallest positive integer $n$ so that I can avoid ever having the exact same group of four members over all $365$ days?

Answers

Answer: 12

Step-by-step explanation:

If we have n people and we want to do groups of 4, the total number of different combinations is:

[tex]c = \frac{n!}{(n - 4)!4!}[/tex]

and we want find the smallest n such c > 365.

let's do it by brute force:

if n = 5, we have:

[tex]c = \frac{5!}{1!*4!} = 5[/tex]

if n = 6

[tex]c = \frac{6!}{2!*4!} = \frac{6*5}{2} = 15[/tex]

if n = 7

[tex]c = \frac{71}{3!*4!} = \frac{7*6*5}{3*2} = 35[/tex]

if n = 8

[tex]c = \frac{8!}{(4!*4!} = \frac{8*7*6*5}{4*3*2} = 70[/tex]

if n = 9

[tex]c = \frac{9!}{5!*4!} = \frac{9*8*7*6*5}{5*4*3*2} = 126[/tex]

if n = 10

[tex]c = \frac{10!}{6!*4!} = \frac{10*9*8*7}{4*3*2} = 210[/tex]

So you can see the patern here.

So we have the previous number multiplied by n and divided by n - 4

if n = 11

C = 210*11/(11- 4) = 330

if n = 12

C = 330*12/(12 - 4) = 495

Then the minimum number of members such we have more than 365 combinations is 12 members

Choose the correct correspondence. U ∠T ∠S ∠R

Answers

Answer:

angle S

Step-by-step explanation:

You have to make the triangles congruent. Therefore, you have to flip one triangle vertically and horizontally. (To see the picture google choose the correct correspondence,  I am looking at the one with two triangles in the figure.) If you imagine putting them over top of each other, then U goes over S.

Sorry my answer was so late.

Answer:

The answer is going to be S

Step-by-step explanation:

Answer with explanation will mark brainliest
for best response

Answers

Answer:

Angle B = 106.6 degrees

Step-by-step explanation:

b^2= a^2+c^2-2*a*c*cosB

9*9 = 4*4 + 7*7 - 2*7*4*cosB

81= 16+49-56cosB           Subtract 16 and 49 from both sides

16= -56cosB           Divide by -56 on both sides.

cosB= -16/56         Take the arccosine of both sides

B=arccos(-16/56)                    

B= 106.6

Answer:

B. 106.6

Step-by-step explanation:

To solve for angle B, we can use the law of cosines.

Recall that the law of cosines states [tex]b^2=a^2+c^2-2ab*cos(B)[/tex]

When this is solved for angle B, we get [tex]B=cos^{-1}( \frac{a^2+c^2-b^2}{2ac} )[/tex]

In this triangle, [tex]a=7, b=9, c=4[/tex]

Now, we can plug these numbers into our equation and then simplify to get B.

[tex]B=cos^{-1}( \frac{7^2+4^2-9^2}{2(7)(4)} )\\\\B=cos^{-1}( \frac{49+16-81}{56} )\\\\B=cos^{-1} (\frac{-16}{56} )\\\\B=106.602\\\\B=106.6[/tex]

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

[tex]226.2m^2[/tex]

Step-by-step explanation:

[tex]A_L=2\pi rh=2*\pi *4.5*8\\=226.19467\\=226.1947\\=226.195\\=226.2m^2[/tex]

The height of a right square pyramid is multiplied by 6, but the area of the base remains fixed. What is the volume of the taller pyramid divided by the volume of the shorter pyramid ?

Answers

Answer:

I’m pretty sure it’s 6 but I’m not 100% sure

Step-by-step explanation:

Answer:

the answer is 6 can you mark me branilist

Step-by-step explanation:

FIRST PERSON TO ANSWER WILL BE MARKED BRAINLEST
Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?

Answers

Answer:

Its B

stuff:

ITS BBBBBBBBBBBBBBBBBBBB

Answer:

B

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

What’s the correct answer for this?

Answers

Answer:

The first option

Step-by-step explanation:

In the image, we can notice that NQ is longer than PQ, similar to how JH is longer than NJ. Thus, NQ must be aligned with JH and PQ with JN. As PN and HN are clearly the longest for each triangle, those must be aligned as well.

All of the responses have NP and NH aligned.

The last response does not have NQ aligned with JH.

The second and third do not align PQ and JN.

The first option is our answer.

HELP MEE ILL MARK BRAINLEIST

Answers

Answer:

3x-3 I think that's it.

Step-by-step explanation:

Answer:

The vertex is (1, -4)

Step-by-step explanation:

Which function is a quadratic function

Answers

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola. You know that two points determine a line.

The sum of the speeds of two trains is
726.1 miles per hour. If the speed of the first train is
9.9 mph faster than that of the second​ train, find the speeds of each.

Answers

Answer:

Train 1: 368 mph

Train 2: 358.1 mph

Step-by-step explanation:

We can write 2 equations to represent this problem.

[tex]x+y=726.1[/tex]

[tex]x=9.9+y[/tex]

The x represents the first train and the y represents the second train.

We can plug in x into the first equation.

[tex](9.9+y)+y=726.1[/tex]

[tex]9.9+2y=726.1[/tex]

[tex]2y=716.2[/tex]

[tex]y=358.1[/tex]

Now that we know our y, we can find our x.

[tex]x=9.9+y[/tex]

[tex]x=9.9+358.1[/tex]

[tex]x=368[/tex]

What type of number is the square root of 13

Answers

A decimal

3.60555127546

Have a great day

If a = 5 units , b = 8 C = 4 Units, and d = 3 units what is the volume of the composite figure?

Answers

Answer:

[tex]V = 208\,u^{3}[/tex] (Option C)

Step-by-step explanation:

The volume of the composite figure is:

[tex]V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)[/tex]

[tex]V = 208\,u^{3}[/tex] (Option C)


Solve both equations the lines are absolute value and please include detailed steps for each
I’ll report you if you don’t put a legit answer.

Answers

Answer:

see below

Step-by-step explanation:

|x+8| ≤ 4

Separate into two equations one positive and one negative , remembering to flip the inequality for the negative

x+8 ≤ 4        x+8 ≥ -4

Subtract 8 from each side

x+8 -8 ≤ 4-8    and     x+8-8 ≥ -4-8

x ≤-4     and    x ≥ -12

Writing as one function

-12 ≤x ≤-4

|x-8|+5  ≥ 11

Subtract 5 from each side

|x-8|+5-5  ≥ 11-5

|x-8|  ≥ 6

Separate into two equations one positive and one negative , remembering to flip the inequality for the negative

x-8  ≥ 6      or      x-8 ≤  -6

Add 8 to each side

x-8+8  ≥ 6+8       or     x-8+8 ≤  -6+8

x  ≥ 14      or      x ≤  -2

Answers and Step-by-step explanations:

9. | x + 8 | ≤ 4

Remember that absolute value just denotes the distance between the argument within the absolute value signs and 0 on a number line. That means that if the item within the absolute value is negative, the absolute value of it will be the positive value because distance is always positive.

That means we have 2 cases here: x + 8 > 0 (positive) or x + 8 < 0 (negative).

Case 1: x + 8 > 0

x + 8 ≤ 4

x ≤ -4

Case 2: x + 8 < 0

-(x + 8) ≤ 4

-x - 8 ≤ 4

-x ≤ 12

x ≥ -12

Combining these two inequalities, we get:

-12 ≤ x ≤ -4

10. | x - 8 | + 5 ≥ 11

Let's isolate the absolute value expression by subtracting 5 from both sides: | x - 8 | ≥ 6

We again have two cases: x - 8 > 0 and x - 8 < 0.

Case 1: x - 8 > 0

x - 8 ≥ 6

x ≥ 14

Case 2: x - 8 < 0

-(x - 8) ≥ 6

-x + 8 ≥ 6

-x ≥ -2

x ≤ 2

Combining these two inequalities, we get:

x ≤ 2 and x ≥ 14

Problem 5.
Joseph is told to dissolve a medicine he has to take in 1 pint 4 ounces of water. He has a
measuring cup marked in ounces. How many ounces of water should he pour?​

Answers

Answer:

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

Step-by-step explanation:

He is told to dissolve a medicine he has in 1 pint 4 ounces of water . He has a measuring cup marked in ounces .This means he can only measure the water quantity in ounces.

He definitely have to convert the pints to ounces.

1 pint = 16 ounces

Recall he has to dissolve the medicine in 1 pint 4 ounces of water.

Since 1 pint is equals to 16 ounces therefore, 16 ounces + 4 ounces  = 20 ounces.

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

There are 4 boy in a class of 13 students? What is the ratio of girls to boys?

Answers

Answer:

4:9

Step-by-step explanation:

13-4=9 AND THERES 4 boys so that means there are 9 girls. So 4:9

760-__=214=225+231need help​

Answers

Hey, actually I am new here, otherwise I was on brainly.in (India)....so can anyone tell me about some moderators here.....need help....

How many proportional relationships are shown in the coordinate plane here???

Answers

Answer:

3

Step-by-step explanation:

In the graph, there are three lines , so that indicates that there are 3 proportional relationships

Pls help me 15 points if you fake it u get reported

Answers

Answer:

The volume question is 1,120 I think

A square has side length (5x-3) cm. What is the area of the square?​

Answers

Answer:225 cm

Step-by-step explanation:

Square has 4 equal sides

Area of squares equal length x width

If one side length is 5x-3 , the width is the same

Hence -15 x -15

A mixture of 5 pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds of fertilizer C provides the optimal nutrients for a plant. Commercial brand X contains equal parts of fertilizer B and fertilizer C. Commercial brand Y contains one part of fertilizer A and two parts of fertilizer B. Commercial brand Z contains two parts of fertilizer A, five parts of fertilizer B, and two parts of fertilizer C. How much of each fertilizer brand is needed to obtain the desired mixture? (If the system is dependent enter a for brand X and enter brand Y and brand Z in terms of a.)

Answers

Answer:

x = 2; y = 3; z = 1

Step-by-step explanation:

For the first fertilizer (A) we can form the equation:

y + 2z = 5          

For the second fertilizer (B) we can form the equation:

x + 2y + 5z = 13

For the third fertilizer (C) we can form the equation:

x + 2z = 4

solving simulteneously:

y = 5 - 2z

x = 4 -2z

Substituting (i) and (ii) into (2)

4 - 2z + 10 -4z + 5z = 13

14-z =13, therefore z = 1

substituting z into (i) and (ii)

y = 3

x = 2

Is 656250 divisible by 10?

Answers

Answer:

Yes 656250 is divisible by 10. Answer is 656250.

Yes it has a 0 on the end so it is divisible without decimals

Answer = 65625

A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees is selected. The Number of days absent in one year is listed below. An Incentive program is offered in an attempt to decrease the number of days absent. The number of days ansent in one year after the incentive program is listed below. Test the claim that the incentive program cuts down on the number of days missed by employees. Use a=0.05. Assume that the distribution is normally distributied.Employee A B C D E F G H I JDays Absent Before incentive 3 8 7 2 9 4 2 0 7 5Days absent after incentive 1 7 7 0 8 2 0 1 5 5

Answers

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired t-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

H₀: The incentive program does not cuts down on the number of days missed by employees, i.e. d ≥ 0.

Hₐ: The incentive program cuts down on the number of days missed by employees, i.e. d < 0.

From the information provided the data computed is as follows:

 [tex]n=10\\\bar d=-1.1\\SD_{d}=2.99[/tex]

Compute the test statistic value as follows:

 [tex]t=\frac{\bar d}{SD_{d}/\sqrt{n}}[/tex]

   [tex]=\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16[/tex]

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

[tex]p-value=P(t_{n-1}<-1.16)\\=P(t_{10-1}<-1.16)\\=P(t_{9}<-1.16)\\=0.1379[/tex]

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

Julie went to the store with $20.00. if she bought 8 cans of dog food for $.67 per can, how much money did she have left? IF YOU ANSWER THIS QUESTION, I WILL RATE YOUR ANSWER 5 STARS, BRAINLIEST ANSWER, AND A THANK YOU!
PLEASE ANSWER THIS QUESTION ASAP!

Answers

Answer:

$14.64

Multiply 8 by .67 which is 5.36

Subtract 5.36 from 20.00 and that's 14.64

Answer:

14.64

Step-by-step explanation:

Have a wonderful day hope this helps

What number is opposite of 98

Answers

Answer:

89

Step-by-step explanation:

Answer:

-98

Step-by-step explanation:

Because the negative of the number is on the opposite side of a number line.

A recent research study randomly divided participants into groups who were given different levels of Vitamin E to take daily. One group received only a placebo pill. The research study followed the participants for eight years to see how many developed a particular type of cancer during that time period. Which of the following responses gives the best explanation as to the purpose of randomization in this studyA. To increase the accuracy of the research results B. To ensure that all potential cancer patients had an equal chance of beng selected for the study. C. To reduce the amount of sampling error D. To produce treatment groups with similar characteristics E. To prevent skewness n the resuits. F. I am not familiar with this matorial

Answers

Answer: D. To produce treatment groups with similar characteristics

Step-by-step explanation:

By using randomization in sampling, the Sample would be more representative of the Population it is based off of because different demographic characteristics may be picked.

This leads to a situation where the groups have similar characteristics between themselves thereby making it easier for comparison. For example, Group 1 would have certain types of people that will be represented in Group 2 and Group 3 as well. That way the effects of the drug can be properly studied as it affects different people. For instance, say there are 4 obese people in a sample of 10, instead of group one having all obese people, randomization may be able to give group one, 2 obese people and 2 obese people to group 2 as well. That way when comparing, the effects of the drug on the two groups is easier to be compared because the two groups have similar people.

**10 POINTS PLEASE HELP**
Can each of the shapes below be expressed as a composite figure of equilateral triangles? Select Yes or No for each shape.

A pyramid
(select)

A hexagon
(select)

A pentagon
(select)

Answers

Answer:

A pyramid yes

a hexagon no

a pentagon no

Step-by-step explanation:

Other Questions
The number of new cars (c) a ship carries cant exceed 975 Which of the following pairs of terms identify spaces that are roughly PERPENDICULAR (at right angles to one another) in the human brain (give or take 30 degrees or so)?temporal horn of the lateral ventricle and cerebral aqueducttemporal horn of the lateral ventricle and central part (body) of the lateral ventricleprecentral sulcus and postcentral sulcusinferior frontal sulcus and inferior temporal sulcuscentral sulcus and the parieto-occipital sulcussuperior frontal sulcus and inferior frontal sulcus What would most likely happen if the thread for the bracelet was cut shorter than 30 inches?A.The bracelet may be too short to tie.B. It would not be a true friendship bracelet.C. Weaving would be too difficult.D. The knot would not be securely tied. What causes alfonso and ernie to argue in broken chain CAN SOMEONE HELP ME WITH THESE PLEASE ASAP Miki tosses a coin 50 times, and the coin shows tails 28 times.What is the experimental probability of Miki getting tails? Why was the expansion of the Internet beneficial for President Bill Clinton? x - y = 3 a. work out the value of 5(x-y)b. work out the value of 2x - 2yc. work out the value of y - xwill give brainliest !Please help it's due at 2:45!!!!!!!! A chemistry journal requires that all new research papers be peer reviewed by other scientists before they are published. Thisallows which of the following?The reviewers can determine the experiment's feasibilityThe reviewers can determine the experiment's validityThe reviewers can include their own findings with the research.The reviewers can determine if they will help fund the research. Suppose that a solution is tested for NO2 ion by adding 3M H2SO4 and heating, repeating this process until no further reaction occurs. This solutionis then analyzed for NO3 ion by adding FeSO4 solution and more H2SO4, heating the test tube and its contents. The NO3 ion reaction is positive. In this case, is it accurate to state that NO3 ion was present in the original solution? Briefly explain. Write appropriate equations to support your answer. A triangle has vertices at A(-2,4), B(-2,8), and C(6,4). If A has coordinates of (-0.25,0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply through which cities would you have to travel to get through to get from marakanda to antioch Brailiest!!! It's almost due Please somebody help me with the answer 6. Explain the role of a specific enzymes in the digestive process. Include where they are produced, where they enter the alimentary canal, pH range in which they work best, the types of molecules they chemically digest and what products the chemical breakdownz form. (give 4 enzymes examples-Key on tge types of nutrients we process-carbohydrates, lipids[Fats], & proteins Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the numerous types of solder defects (e.g., pad non-wetting, knee visibility, voids) and even the degree to which a joint possesses one or more of these defects. Consequently, even highly trained inspectors can disagree on the disposition of a particular joint. In one batch of 10,000 joints, inspector A found742that were judged defective, inspector B found745such joints, and1145of the joints were judged defective by at least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.(a) What is the probability that the selected joint was judged to be defective by neither of the two inspectors? (Enter your answer to four decimal places.)(b) What is the probability that the selected joint was judged to be defective by inspector B but not by inspector A? (Enter your answer to four decimal places.) any object that travels around another object in space is a (n) - a green and a red die are tossed. what is the probability that a 4 shows on the green die and a 5 shows on the red die. X-16=42 what does x equal and how did you get your answer. What does the word transfixed mean in the context of this paragraph? fascinated crying helpless laughing what is char antonym? Photons with shorter wavelengths have largeroA. colorB. amplitudec. energyD. speedSUBMIT