Help out please ASAP!

Volume of cuboid :

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

Surface area of this cuboid :

[tex]A = 2( x^2 + xh + xh )\\\\A = 2( x^2 + 2xh)[/tex]

Putting [tex]h = \dfrac{14}{x^2}[/tex] in above equation, we get :

[tex]A=2(x^2 + 2x\times \dfrac{14}{x^2})\\\\A = 2( x^2 + \dfrac{28}{x} )[/tex]

For minimum area, [tex]\dfrac{dA}{dx}=0[/tex] :

[tex]\dfrac{dA}{dx}=2( 2x -\dfrac{28}{x^2})\\\\\dfrac{dA}{dx }= 4(x - \dfrac{14}{x^2})\\\\x - \dfrac{14}{x^2}=0\\\\x=\sqrt[3] {14} = 2.41[/tex]

Therefore, value of x is 2.14 .

Hence, this is the required solution.

The dimension for which the volume is 14 and the surface area is as small as possible are 2.41 by 2.41 by 2.41

The formula for calculating the volume of the square box is expressed as:

[tex]V = x^2h[/tex]

Given that the volume of the box is 14, on substituting the value we will have:

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

The surface area of the box is expressed as:

[tex]S = 2(x^2+xh+xh)\\S=2(x^2+2xh)\\S = 2(x^2+2x(\frac{14}{x^2} ))\\S = 2(x^2+\frac{28}{x} )\\S=2x^2+\frac{56}{x}[/tex]

To get the surface area is as small as possible, then dS/dx = 0

[tex]\frac{dS}{dx} = 4x-\frac{56}{x^2}\\0 = 4x-\frac{56}{x^2}\\4x = \frac{56}{x^2}\\4x^3 = 56\\ x^3=14\\x=\sqrt[3]{14}\\x= 2.41[/tex]

Get the height of the box. Recall that;

[tex]h=\frac{14}{x^2}\\h=\frac{14}{(2.41)^2}\\h=\frac{14}{5.8081}\\h= 2.41[/tex]

Hence the dimension for which the volume is 14 and the surface area is as small as possible are 2.41 by 2.41 by 2.41

Learn more here: https://brainly.com/question/18761821

Answer:

A. x>-12

Step-by-step explanation:

-2x/3+7<15  Subtract 7 on both sides.

         -7  -7

-2x/3<8       -2x/3 is equal to -2/3x, so you can simplify to that.

-2/3x<8       Because you have to isolate x, multiply by the reciprocal of the          

*-3/2  *-3/2  fraction. This will divide by -2/3 on both sides.

x>-12            Remember, because you multiplied by a negative, you have to flip the inequality sign.

Hope this helps you! Have a nice day c:

Answer:

Ok so the answer is x = -8

Step-by-step explanation:

Have a nice day!!!

Answer:

48

Step-by-step explanation:

The significance level is 95%

Z-alpha/2 = 1.96 at 0.05 from the standard normal distribution table.

The standard deviation has been given to be 7

Margin of error is 2

We solve further using the formula:

n = (z-alpha/2 * sd/ME)²

n = (1.96 * 7/2)²

n = (1.96x3.5)²

= 6.86²

= 47.0596

This is approximately

n = 48

So the sample size they should be selected should be 48 for at 95% confidence level.

Answer:

1,216 131,784 130,435

Step-by-step explanation:

Answer: -9/7

Step-by-step explanation: The slope of parallel lines are the same/equal. Only the y intercept is different

Complete Question

Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.27. The population is normally distributed with σ=7.2.

Calculate the p-value. Round your answer to four decimal places.

Answer:

The   [tex]p-value = 0.030742[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 38[/tex]

   The sample size is  n = 35

   The sample mean is  [tex]\= x = 40.27[/tex]

   The standard deviation is  [tex]\sigma = 7.2[/tex]

The null  hypothesis is  [tex]H_o[/tex]: μ=38

The alternative hypothesis is H1: μ>38

Generally the test statistics is mathematically represented as

      [tex]t = \frac{ \= x -\mu }{\frac{\sigma }{ \sqrt{n} } }[/tex]

=>    [tex]t = \frac{ 40.27 - 38 }{\frac{ 7.2 }{ \sqrt{ 35} } }[/tex]

=>    [tex]t =1.87[/tex]

Generally from the z table the p-value of  [tex](Z > 1.87 )[/tex]  is  

    [tex]p-value = P(Z > 1.87) = 0.030742[/tex]

Answer:

7 because u are changing division to mutiplication its called replicate

Answer:

since 2 and 1/3 is a mixed number change it into an improper fraction so it will be 7/3 / 1/3 find the reciprocal of the second fraction that is one of the three the reciprocal will be 3/1 so it will be 7/3 * 3/1 because when you find the reciprocal of a second fraction you also find the reciprocal of the sine and in this case division will change to multiplication when you multiply it you'll get the answer to be 7 hope it helps

Answer: 5 to 9

Step-by-step explanation:

you just add them all together! (:

Answer:

should be A, if we have the right test

Step-by-step explanation:

Just count how much squares, if 100 is the whole thing, then count and see which one only has 26 blocks, this helps! :D        

Answer:

It is a simple rate of change if you take $30+$0.80 each day or $2.30 and set them equal to eachother. you should get 20 rides.

Answer:

10: No

11: No

12: Yes

13: No

Step-by-step explanation:

8 / 3 = 2.66

4 / 3 = 1.33

24 / 3 = 8

38 / 3 = 12.66

Hope this help and have a great day!

Answer:

−

9

x

−

3

x

+

4

, then set it equal to

−

10

x

−

(

2

x

−

4

)

.

Always true

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

-9x-3x+4 = -10x - (2x- 4)

-12x+4=-10x-2+4

-12x+4=-12x+4

Answer:

150

Step-by-step explanation:

Using 8 rows leaves  2 positions unoccupied implies that the population of the number  of members in the band is 2 less than a  multiple of 8. That makes this an even  number.

Similarly, we understand that the number  of members is 3 less than a multiple of  9. So, If we list the even numbers  that are 3 less than multiples of 9  between 100 and 200 and are even; we have:

117 – 3, 135 – 3, 153 – 3, 171 – 3,  189 – 3

= 114, 132, 150, 168, 186  

Also, the numbers that are two less than  a multiple of 8:  

102, 110, 118, 126, 134, 142, 150, 158,  166, 174, 182, 190, 198

From above, we will realize that the number common in both is 150

Let's check if that satisfy our calculation;

SO:

150/8 = 18 remainder 6 ; Thus 8 - 6 = 2 (positions)

150/9 =  16 reminder 6 ;  Thus  9 - 6 = 3 (positions)

Hence the number of members in the band if the membership is between 100 and 200 is 150

Answer: I will leave a comment with the answer i am

doing the math rn

Step-by-step explanation:

Answer:

You cant see the picture its glitched send another one

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

25 images / 1 second

pls mark brainlist :)

Answer:

Step-by-step explanation:

.......

...................

The degree of the given polynomial x⁵ - 4x + 2 is 5. The correct answer is option A. 5.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of a polynomial is the highest power of the variable with a non-zero coefficient.

As per the question,

Here, 5 is the highest power of x with a non-zero coefficient.

Therefore, the degree of x⁵ - 4x + 2 is 5.

Hence, the correct answer is option A. 5.

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ7

Answer:

66 not parallel or transversal I believe its supplementary

Step-by-step explanation:

Answer:

0.0225

Step-by-step explanation:

Probability that an eligible individual is called for jury duty in any one calendar year = 15/100 = 0.15

a) What is the probability that a particular eligible person in this city is selected in both of the next 2 years

Probability that an eligible person is chosen in each of the next 2years:

P(being chosen in first year) * P(being chosen in second year)

Since the probability of being chosen is the same in any one year with a probability of 0.15

Hence,

P(being chosen in first year) * P(being chosen in second year)

0.15 * 0.15 = 0.0225

a. the probability that a particular eligible person in this city is selected in both of the next 2 years is 0.0225

Since In a small city, approximately 15% of those eligible are called for jury duty in any one calendar year and there is two years.

So, the probability is

= 0.15 (0.15)

= 0.0225

Learn more about probability here: https://brainly.com/question/10695144

Answer:

2.2

Step-by-step explanation:

Answer:

x=57

Step-by-step explanation:

x+28+x+38=180

Step 1: Simplify both sides of the equation.

x+28+x+38=180

(x+x)+(28+38)=180(Combine Like Terms)

2x+66=180

2x+66=180

Step 2: Subtract 66 from both sides.

2x+66−66=180−66

2x=114

Step 3: Divide both sides by 2.

2x/2=114/2

Answer:

x=57

Answer:

57

Step-by-step explanation:

x+28+x+38=180

2x+66=180

-66           -66

2x=114

/2    /2

x=57

I think

Answer:

y=-1x+3

Step-by-step explanation:

1-5=-4

2--2=4

-4/4= -1

Answer:

The 16 percent of the goldfish are smaller from 1.25 inches.

Step-by-step explanation:

Let X denote the size of a particular goldfish.

It is provided that the mean size is, μ = 1.5 inches and standard deviation of the size is, σ = 0.25 inches.

Assume that X is normally distributed.

Compute the size of a goldfish such that only 16 percent of the goldfish are smaller from such size as follows:

P (X < x) = 0.16

⇒ P (Z < z) = 0.16

The z-value for such a probability is:

z = -0.99

*Use a z-table.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-0.99=\frac{x-1.5}{0.25}\\\\x=1.5-(0.99\times 0.25)\\\\x=1.2525\\\\x\approx 1.25[/tex]

Thus, the 16 percent of the goldfish are smaller from 1.25 inches.

Answer:

Step-by-step explanation:

example: You add 4.20 and 6.90

the decimal point for the answer would be in the spot for the numbers in the problem.

AKA: YOU BRING THE DECIMAL DOWN

ANSWER:

                1                

                 4.20

                 6.90

               +_____

                 11.10