(1 point) An open-top box is to be constructed from a 8 \ \mbox{in} by 14 \ \mbox{in} rectangular sheet of tin by cutting out squares of equal size at each corner, then folding up the resulting flaps. Let x denote the length of the side of each cut-out square. Assume negligible thickness. (a) Find a formula for the volume, V, of the box as a function of x. \ \ V(x)

Answers

Answer 1

Answer:

Volume=[tex]4x^3-44x^2+112x[/tex]

Step-by-step explanation:

Let x denotes the length of the side of each cut

After Cutting square length will be=8-2x (where 2x for 2 squares as on each side two corners are there thus 2 squares will be cut down)

After cutting square width will be=14-2x (where 2x for 2 squares as on each side two corners are there thus 2 squares will be cut down)

Height = x

Volume=Length*width*Height

Volume=(8-2x)*(14-2x)*x

On solving we will get:

Volume=[tex]4x^3-44x^2+112x[/tex]


Related Questions

How do I solve this???

Answers

Answer:

Step-by-step explanation:

PLEASE HELP 25 POINTS

The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.




Which answer correctly identifies the elevations of both points on the map?






Point X= 1500m, Point Z= 2000m


Point X= 1550m, Point Z= 1600m


Point X= 1600m, Point Z= 2050m


Point X= 2050m, Point Z= 1600m

Answers

Answer:Point X= 1600m, Point Z= 2050m

Step-by-step explanation:

Les 2/3 de 9Litres ?

Answers

Answer:

6 litres

Step-by-step explanation:

9:3=3

2×3=6

therefore the answer is 6.

Please help with these two problems don't rip me off I'm being generous.

Answers

Answer:

8 is $230

Step-by-step explanation:because there is a fee of $55 and $25 a week, the $55 is a one time charge and then $25 times 7 weeks is $175 then $55+$75 is $230

I will give Brainly plzzz ASAP

Answers

Answer:

Im pretty sure the answer would be 6

Step-by-step explanation:

Just take 42 and divide by 7 to get x

Answer:

did you finish this already

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. The correct value of the Z-statistic is

Answers

Answer:

The correct value of the Z-statistic is z = -1.56

Step-by-step explanation:

A company manufacturing computer chips finds that 8% of all chips manufactured are defective.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.08[/tex]

A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.

This means that the alternate hypothesis is:

[tex]H_{a}: p < 0.08[/tex]

z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.08 is tested at the null hypothesis:

This means that [tex]\mu = 0.08, \sigma = \sqrt{0.08*0.92}[/tex]

After training was implemented, a sample of 450 chips revealed only 27 defects.

This means that [tex]n = 450, X = \frac{27}{450} = 0.06[/tex]

The correct value of the Z-statistic is

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.06 - 0.08}{\frac{\sqrt{0.08*0.92}}{\sqrt{450}}}[/tex]

[tex]z = -1.56[/tex]

Is the graph increasing, decreasing, or constant?
O A. Constant
B. Decreasing
C. Increasing

Answers

Answer:

Decreasing because the line is going down meaning it is decreae

Which expression is equivalent to -6(3 + 4x)?

Answers

Answer:

A

Step-by-step explanation:

may I have brainllest

Answer:

A

Step-by-step explanation:

A bike has a diameter of 10 in. What is the circumference of the wheel?

Answers

The circumference would equal to 31.4 rounded to the tenth place or 31.42. 10 times pie= 31.4 or 31.42

How can I solve this quadratic using the square root properly?

Answers

Answer:

x = +3

Step-by-step explanation:

4x² = 36

sqareroot both side we get,

√4x² = √36

2x = 6

x = 6/2

x = +3

Thus, The answer is +3

-TheUnknownScientist

Answer:

4x^2 = 36

________ x^2 = 9. square root of 9

4. = 4. x = 3

Step-by-step explanation:

Divide both sides by 4 to isolate the square root.

So, you will end up with x^2 = 9

then take the square root of 9,

square root of 9 is 3.

So x = 3

can someone help me with this please

Answers

9514 1404 393

Answer:

  1. attendance (y), time (x)

  2. 1,2: increasing; 3: constant; 4: decreasing

  3. attendance increases, remains constant, then decreases

  4. increasing; pre-heating the oven

Step-by-step explanation:

It is always difficult to read the mind of the author of questions like these. Usually, specific wording is expected. If your curriculum material has examples you can copy from, you should do that.

__

1. The variables and what they stand for are listed on the axes of the graph. The y-variable stands for attendance. The x-variable stands for time. It isn't clear whether the desired answer is "y and x" or "attendance and time".

__

2. The graph slopes upward in intervals 1 and 2. It can be described as "increasing."

The graph remains level in interval 3. It can be described as "constant."

The graph slopes downward in interval 4. It can be described as "decreasing."

__

3. The attendance is adequately described in question 2. Attendance increases, remains constant, then decreases. It isn't clear how general or specific the answer is supposed to be.

__

4. The graph of the function is "increasing." We don't know if the indicated temperature is the temperature of the bread, the oven, or the room containing the oven. If we assume the indicated temperature is that of the oven, we expect an increase during the oven pre-heat interval.

If the indicated temperature is that of the bread, then the increase would be following insertion of the bread into the oven.

Why is it that every time I ask a question either it never gets answered or just gets met with spam or someone sending me gross images?

Answers

Answer:

That is what happens to me, I am asking a question right now and like people say like "Sorry don't want to be mean but no one wants to do it" so I am really not sure.

Step-by-step explanation:

Which of the following equations represents a linear function

Answers

Answer:

its B

Step-by-step explanation:

please like my answer . brainliest please

PLEASE HELP!!!
Multiple Choice: which of the following expressions is not an equivalent
expression to the others?
A. 8(x-2) + 40
B. 8x - 3
C. 8(x + 3)
D. 40 + 8x – 16

Answers

B. Is not equivalent
Explanation:
The other equations equal 8x + 24, but b is 8x - 3
Further explanation:
A. 8(x-2) + 40
8x - 16 + 40
8x + 24
B. 8x - 3
C. 8(x + 3)
8x + 24
D. 40 + 8x - 16
24 + 8x

7 1/2 divided by 3/4

Answers

Answer:

2 2/3

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

First convert to mixed fractions 7 1/2-> 15/2

Then multiply by the reciprocal---> 15/2 x 4/3

The answer is 60/6

Then simplify---> 10/1 or 10

9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)

Answers

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

Find the value of x in the triangle shown below 8 10

Answers

Answer:

x = 6

Step-by-step explanation:

pythagorean theorem

a^2 = c^2 - b^2

a^2 = 10^2 - 8^2

a^2 = 100 - 64

a^2 = 36

sqrt a^2 = sqrt 36

a = 6

CHECK:

6^2 + 8^2 = 10^2

36 + 64 = 100

yes.

ms. lorenz needs to rent a car for 3 days. she can choose from two plans. plan a costs $60 per day. plan b costs $30 per day plus $.40 for each mile she drives. ms lorenz decides that plan b will cost her less than plan a. write and solve an inequality to represent the number of miles, m, that ms. lorenz expects to drive. PLEASE HELP!!!

Answers

Answer:

distance driven < 300 miles.

Step-by-step explanation:

Plan A

She needs the car for 3 days.

1 day costs 60 dollars

3 days cost 60*3 = 180 So this is the maximum amount that she can spend

Plan B

She still needs the car for 3 days

1 day costs 20 dollars of the car does not move

3 days costs 3*20 = 60 dollars.

60 + 0.4m < 180                Subtract 60

0.4m < 180 - 60

0.4m < 120                        Divide by 0.4

m < 120/ 0.4

m < 300  

Answer

so she should drive less than 300 miles.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х

Answers

Answer: x=10.25

Step-by-step explanation:

[tex]8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25[/tex]

The sum of two numbers is 9. If one number is subtracted from the​ other, the difference is −3. Find the two numbers.

Answers

Answer:

The numbers are 6 and 3

Step-by-step explanation:

Let the numbers be x and y

So their sum is x + y =9 (EQ. 1)

Their difference is x - y = -3 (EQ. 2)

Solve simultaneously using subtract method.

x-x=0, x is eliminated. y- -y = +2y since -x- is +.

so it is now 2y = 9- - 3:. 2y= 12; dividing both sides by 2. Y=6.

Substitute Y=6 in EQ 1 to find x.

So x + 6=9;. x=9-6 is achieved by collecting like terms. so x=3.

:. Y=6 and x=3. The numbers are 6 and 3

I think I was able to expantiate it well.

Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor's Bureau of Las Vegas wants to update this percentage. The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size?

Answers

Answer:

The necessary sample size is of 5683.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.

This means that [tex]\pi = 0.3[/tex]

The estimate is to be within 1% of the population proportion. What is the necessary sample size?

A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]

[tex]n = 5682.6[/tex]

Rounding up:

The necessary sample size is of 5683.

A survey found that 20% of the people in Fiji drive the car without seatbelt. If 3 people are randomly selected, find the probability that at least 2 drive without seat.

Answers

Answer:

0.104 = 10.4% probability that at least 2 drive without a seatbelt.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they drive without a seatbelt, or they do not. The probability of a person driving without a seatbelt is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of the people in Fiji drive the car without seatbelt.

This means that [tex]p = 0.2[/tex]

3 people are randomly selected

This means that [tex]n = 3[/tex]

Find the probability that at least 2 drive without a seatbelt?

This is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]

[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.096 + 0.008 = 0.104[/tex]

0.104 = 10.4% probability that at least 2 drive without a seatbelt.

for each of the figures write an absolute value equation to satisfy the given solution set

5 and 17

Answers

answer is: I x-11 I = 6

Answer:

|x-11|=6

hope this helps

Step-by-step explanation:

HELP DUE ASAP PLEASE!! X.
Y.
10
3 4 5 6 7 8 9
SELECT ALL THAT APPLY for the box plots above.
the first quartile has a greater spread for box plot x than the spread in the first quartile for
box ploty
25% of the data is greater than 7.5 for box plot x and 50% greater for box ploty
the medians have the same value for both box plots
the median for box plot x has the same value as the lower quartile of box ploty

Answers

Answer:

D. The median for box plot X is the same as the lower quartile as box plot Y.

Step-by-step explanation:

If you look at box plot X, its median is at 6. Also, the lower quartile for box plot  Y is 6 as well. That means that D. is the correct answer. Hope this helps!

Answer:

Below

Step-by-step explanation:

I'm pretty sure it may be B, and D

D because when you look at it X's plot does have the median line up with Y's Lower quartile

And using the rule of crossing out answers that are incorrect I am left with B, because the medians and different and X's lower quartile is smaller than Y's

Find the surface area of the regular pyramid.

help TvT

Answers

the whole pyramids SA would be
144+480=624

Simplify

b + 4 + 4 + b=

Answers

Answer:

2b+8 is the simplify expression

Answer:

b + 4 + 4 + b=

= +b +b +4 +4

= 2b + 8

__________________________

another way

b + 4 + 4 + b=

= +b +b +4 +4

= 2b + 8

= b = [tex]\frac{8}{2} \\\\[/tex]

= b= 4

Ans: b= 4

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

I NEED ANSWERS WITH WORKOUT PLS ANYONE HELP / WRITE ON PAPER!

-giving brainlist

Answers

Answer:

I don't know if this is all correct, but I tried

Seven
more than 9 is my denominaton,
One less than my denominator is my numerator. What fraction am I. ​

Answers

Answer:

15/16

Step-by-step explanation:

Seven  more than 9 is my denominator:

[tex]7+9=16[/tex]

One less than my denominator is my numerator :

[tex]16-1=15[/tex]

What fraction am I :

[tex]\frac{15}{16}[/tex]

Answer:

[tex] \frac{15}{16} [/tex]

Step-by-step explanation:

Sorry if wrong :( .

Follow me? FollowBack ^^ .

divide the polynomial (x^2 + 3x + 5) by 2x + 1​

Answers

Answer:

50888888888888888888+++++

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