What is the maximum volume of a rectangular prism (or box) if the prism has a square base and a total surface area of 100 cm^2?

A) First, let x = the side length of the base and h = the height of the prism. Write and solve the equation for h.

B) Write a function for the volume of the box, V, in terms of x.

Answer:

with?

Step-by-step explanation:

Substitute 80 for C in the formula F = 9/5C +32 to obtain the temperature in fahrenheit.

Thus temperature in

Answer:

Step-by-step explanation:

no

Answer:c

Step-by-step explanation:

Answer:

Its A.  Not C

Step-by-step explanation:

A is The sample space is 18. The probability of getting 2 and B is 1/18.

Answer:

1 and 3 makes linear pair

1 and 4 vertically opposite angle

1 and 5 are corresponding angle

1 and 8 alternate exterior angle

The remainder when  2 to the 100th power is divided by 5 is 8.

The remainder when 2 to the 100th power is divided by 5 is 8. We can achieve the accurate result by using the exponential formula where:

a^mn = a^m(n)

So, applying this here, we will have

2^10 (10)/5

Recall that multiplying 10 by 10 will give us 100. What was done in this case is simply splitting the figures up to make the division simpler. The exponential law was applied here.

Now, 2^10/5

204.8

The remainder as we can see from this result is 8. Thus we arrive at the answer 8.

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The polynomial is x⁹ - 23x⁷ - 6x³ + 2x² + 10 in the standard form, the degree of the polynomial is nine, and its leading coefficient is 1.

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 polynomial below which is given in the question

-23x⁷ + x⁹ -6x³ + 10 + 2x²

To determine the polynomial in the standard form.

⇒ -23x⁷ + x⁹ -6x³ + 10 + 2x²

Rearrange the terms in the descending order of the degree of variables

⇒ x⁹ - 23x⁷ - 6x³ + 2x² + 10

This is the polynomial in the standard form

Here the degree of the polynomial is nine because nine is the highest degree in the above expression and its leading coefficient is 1.

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The question seems to be incomplete the correct question would be:

Write the polynomial in the standard form, and then identify the degree and leading coefficient

-23x⁷ + x⁹ -6x³ + 10 + 2x²

The coordinates of the point on the directed line segment are (-4, 4).

What is partitions of the segment?

Finding a position that is an equal distance from A and b equal distance from B is necessary for partitioning a line segment, AB, into a ratio of a/b.

Trying to find the coordinates of point that splits the line between (-7, -2) to (-2, 8) at a ratio of 3:2.

Since the ratio is 3:2 we are going o find the point that is 3/5 of the distance from (-7, -2) to (-2, 8).

For the x coordinate, find the distance between x coordinates (-2-(-7)) = 5.

Take 3/5 of 5 equals to 3 and add that to the first x coordinate (-7) to get the x - coordinate of interest -4.

For the y - coordinate, find the distance between y coordinates (8-(-2)) = 10.

Take 3/5 of 10 equals to 6 and add that to to the first y coordinate (-2) to get the y coordinate of interest 4.

The coordinates of the point on the directed line segment  from (-7, -2) to (-2, 8) that partitions the segment into a ratio of 3:2 are (-4, 4).

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The average speed of this particle over the interval 2 ≤ t ≤ 10 is 25 , the correct option is (b)25  .

In the question ,

it is given that

the position of the particle that travels along the x-axis at time t is given by the function

x(t)=2t²+t

the average speed of the particle can be calculated by using the formula

average speed = (change is distance)/(change in time)

particle position at t=2

x(2) = 2(2)²+2 = 2*4+2 = 10

particle position at t=10

x(10) = 2(10)²+(10)

= 2*100+10

= 200+10

= 210

So, change in distance = 210-10= 200

change in time = 10-2 = 8

Putting the values in the average speed formula we get

average speed = 200/8

= 100/4

=25

Therefore , the average speed of this particle over the interval 2 ≤ t ≤ 10 is 25 , the correct option is (b)25  .

The given question is incomplete , the complete question is

A particle travels along the x-axis such that its position at time t is given by the function x(t)=2t²+t . What is the average speed of this particle over the interval 2 ≤ t ≤ 10?

(a) 4

(b) 25

(c) 32

(d) 200

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Answer:

Please comment if it is wrong.

Answer:

5+5 5-5=0 is not a solution

Step-by-step explanation:

Answer:

I think the answer is x<2/7

Step-by-step explanation:

That's what i got.

Answer:

Step-by-step explanation:

x<2/7

The y-intercept of the line passes through (12,-4) and (-6,10) is 32/6

Let (x1, y1) = (12, -4)

and (x2, y2) = (-6, 10)

Using the formula of the two-point form of equation of line,

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y + 4)/(10 + 4) = (x - 12)/(-6 - 12)

(y + 4)/14 = (x - 12)/(-18)

-18y -72= 14x - 168

-18y = 14x - 168 + 72

-18y = 14x - 96

y = -(14/18)x + 96/18

y = -7/9 x + 32/6

Comparing with slope-intercept form of line y = mx + b

y-intercept(b) = 32/6

Therefore, the y-intercept of the line passes through (12,-4) and (-6,10) is 32/6

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We have to find how the interval (1-α) affects the width of the confidence interval.

The interval (1-α) represents the confidence required for the interval.

The greater the confidence required, the wider will be the interval.

This means also that when we decrease the confidence required, the interval width decrease too, as we are less strict with the number of sample means that have to fall within that interval.

Then, when (1-α) decreases, the width of the confidence interval also decreases.

Answer: A. Decreased,

to get the slope of any straight line, we simply need two points off of it, let's use the ones from the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{20}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{20}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}} \implies \cfrac{ 20 }{ 5 } \implies \text{\LARGE 4}[/tex]

Answer:

Explanation:

Here, we want to deduce the median change

The median is a measure of central tendency that represents the middle number is a set of numerical observations

Firstly, let us get the previous median

We start by sorting the numbers from bottom to top

We have that as:

121,129,132,145,160,175

Since the count of observations is even, we have the median as the average of the two mid-values

We have that as:

Adding the last value, the set becomes

121,129,132,145,160,173,175

In this case, the median value would be 145 which shows an increase in the value of the median

Answer:

A. Increase

Step-by-step explanation:

I took the

First, let's edit the equation of the given line.

We were asked to identify three points. Let us give the value of [tex]x[/tex] as [tex]2,4[/tex] and [tex]6[/tex] respectively.

Why did we give consecutive even numbers? Because our unknown is preceded by an odd number. We applied this to find the integer in the rational expression.

Finally, you will mark the three points we found on the coordinate plane. In the photo below, I have marked them for you.

The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = [tex]\sqrt{4}[/tex]

Side = 2

Hence, The side of the square of each block = 2 feet

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Answer:

-4

Step-by-step explanation:

12/-3=-4

Answer:

To create a perfect square of given expression,

On solving the above expression we get,

we have that,

To create a perfect square: add ( half the coefficient of the x- term )²

Coefficient of x term is 3

half the coefficient of the x- term is 1.5

( half the coefficient of the x- term )² is 2.25

Add 2.25 to the quadratic expression inside the bracket, we get,

In general, we adding 11.25 (that is, 2.25x5=11.25) to the given expression.

we get,

Multiply 5 to the above equation, we get

Based on the above calculation, we adding 11.25 and multiplying the expression by 5 in order to create a perfect square.

Adding 11.25 and multiplying the expression by 5 in order to create a perfect square.

Given the graph in the attached image.

The red line represents f(x) and the blue line represents g(x);

From the graph;

The intercept, b, of f(x) is

and the slope, m, of f(x) is;

So, f(x) is;

For g(x)

The y-intercept, b, of g(x) is;

and the slope, m, of g(x) is;

So, g(x) is;

To derive the solution, let us equate the two equations;

Answer: -4

Step-by-step explanation:

Let the integer be x.

[tex]8(x+1)-x=-20\\\\8x+8-x=-20\\\\7x+8=-20\\\\7x=-28\\\\x=-4[/tex]

So, the integers are -4 and -3.

The mixed fraction of the given improper fraction is [tex]1\frac{2}{5}[/tex].

According to the question,

We have the following improper fraction:

7/5

Now, to convert this into mixed fraction we will divide the numerator by the denominator and add the quotient before the fraction and the remainder will form the numerator and the denominator will remain same as that of this improper fraction.

(More to know: there are three kinds of fraction: proper fraction (in proper fraction, we have denominator larger than numerator), improper fraction and mixed fraction.

So, we will divide 7 by 5:

[tex]1\frac{2}{5}[/tex]

Hence, the mixed fraction of 7/5 is [tex]1\frac{2}{5}[/tex].

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Answer:

12.5 hours

Step-by-step explanation:

The flat rate is the base, in which no matter how long you rent it for, they'll still charge you that much. You have 200 dollars, and negative 75 is 125 dollars, which you can spend on the hours. Assuming you can rent the jet ski for half an hour, you can divide 125 by 10 for the amount of hours, and the answer is 12.5 hours. However, if you can't rent the jet skis for half an hour, the answer is 12 hours.

The system of equations to represent this scenario is x + y = 20  and 2x + 4y = 70  .

In the question ,

it is given that

the total number of tables in the restaurant = 20 tables

let the number of round tables be "x"

let the number of rectangular tables be "y" .

number of person that can seat on a round table = 2

So , the number of person that can seat on "x" round tables = 2x person

number of person that can can seat on rectangular table = 4

So , the number of person that can seat on "y" rectangular tables = 4y person

since total number of table is 20

So , the equation is x + y = 20

and total number of person that can seat are 70 seats .

So , the equation is 2x + 4y = 70

Therefore , The system of equations to represent this scenario is x + y = 20  and 2x + 4y = 70  .

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Answer: B

Step-by-step explanation:

The preimage is "flipped" over the x axis to form the image.

Option A is a reflection over the line y=x.

Option C is a rotation of 180 degrees about the origin followed by a dilation.

Option D is a reflection over the x-axis.

Option E is also a reflection over the x-axis.

Answer:

x =(8-√204)/2=4-√ 51 = -3.141

x =(8+√204)/2=4+√ 51 = 11.141

Step-by-step explanation:

Factoring  x2-8x-35

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  -35

Step-1 : Multiply the coefficient of the first term by the constant   1 • -35 = -35

Step-2 : Find two factors of  -35  whose sum equals the coefficient of the middle term, which is   -8 .

     -35    +    1    =    -34

     -7    +    5    =    -2

     -5    +    7    =    2

     -1    +    35    =    34

Answer:

yes

Step-by-step explanation:

Solution:

Given the absolute value parent function below

If the function is vertically compressed by a factor of 4, the function becomes

Where

Hence, the answer is

Option A