A company produces canned tomatoes. They want the height h of each can to be twice the diameter d. Enter an equation for the surface area A of the can in terms of the radius r. If the company wants to use no more than 90 square inches of metal for each can, what is the maximum radius of the can they will produce? Round to the nearest tenth of an inch.

Given:

The given function is

[tex]y = 200(1.06)^x[/tex]

To find whether the function is growth or decay and the growth of decay.

Formula:

The function [tex]a(1+r )^x[/tex] is said to be an exponential growth, if the value of a > 0 and r > 0

Again, the function [tex]a(1-r )^x[/tex] is said to be an exponential decay, if the value of a > 0 and 0 < r < 1.

Now,

[tex]y = 200(1.06)^x[/tex]

[tex]y = 200(1+0.06)^x[/tex]

Thus, the value of a > 0 and r > 0, then the given function is an exponential growth function.

Therefore,

The given function is an exponential growth function.

Answer:

400 yellow 600 blue 1000 pink

Step-by-step explanation:

30 yellow balls, 45 blue balls, and 75 pink balls

initial sample = ratio of 2:3:5

Shipment 2000 = 2:3:5 = 400 yellow 600 blue 1000 pink

2+3 + 5 = 10            1) We add up the ratio

2000/10 = 200       2)We apply the ratio total to shipment total

                                   and divide.

2 x 200 = 400        3)We multiply by 200

3 x 200 =600

5 x 200 = 1000

Simple as that.

Answer:

The collection of balls in the vending machine is a random sample of 150 balls. The percentage of balls of each color in the vending machine can be used as a model for the company’s shipment purchases:

P(yellow) =30/150 = 20%

P(blue) =  45/150= 30%

P(pink) =75/150 = 50%

If the store purchases 2,000 rubber balls, then about 2,000(0.2) = 400 should be yellow, 2,000(0.3) = 600 should be blue, and 2,000(0.50) = 1,000 should be pink.

PLATO ANSWER

Answer: Fewer

Step-by-step explanation:

Answer:

fewer

Step-by-step explanation:

as you can see in the graph august was at peak of its potential and from there it was going down hill so September came and December so fewer people started attending the public pool.

Answer:

L X W=338

Step-by-step explanation:

divid by W so you get L= 338/W

Answer:

A rectangular prism with a length of 6, width of 2, and height of 4 this is the answer

Answer:

It's B (trust me i just took the test)

Step-by-step explanation:

Answer:

2637.00 cubic feet

Step-by-step explanation:

Given object is a hemisphere:

Volume of hemisphere is given as:

[tex]V = \frac{2}{3} \pi {r}^{3} \\ \\ =\frac{2}{3} \times 3.14 \times {(10.8)}^{3} \\ \\ = \frac{2}{3} \times 3.14 \times 1,259.712\\ \\ = \frac{2}{3} \times3,955.49568 \\ \\ = \frac{7,910.99136}{3} \\ = 2,636.99712 \: {ft}^{3} \\ = 2637.00\: {ft}^{3} [/tex]

Answer:

s= 11.3 units

Step-by-step explanation:

[tex]s= \frac{ \frac{3\pi}{5} }{2\pi} \times 2\pi \: r \\ \\ s = \frac{{3\pi}}{5 \times 2\pi} \times 2\pi \: \times 6\\ \\ s= \frac{{3}}{5} \times \pi \: \times 6 \\ \\ s= \frac{{18}}{5} \times 3.14 \\ \\ s= \frac{{56.52}}{5} \\ s= 11.304 \: units \\ \huge \red {\boxed{s= 11.3 \: units}}[/tex]

Answer:

the answer is the first one

Step-by-step explanation:

the easiest way is to look at the constant. negitive three multiplies with 2 to get -6. Then it is multiplied with 2 again to get -12. Then add 10 to get -2.

Answer:

because i cant see the true or false parts i can help by giving some basic answers

Step-by-step explanation:

if there are more true or false parts to this question please leave a comment with them so i can hopefully answer them.

Final answer:

Amy's printed picture, which is 225% the size of the original picture with a 4-inch side, would have a new side length of 9 inches, making it larger than the original. The statements truthfully state that the picture is larger and the size scale is 2 ¹/₄ in terms of the sides, but the area would be scaled by the square of the side scale factor.

Explanation:

When Amy prints a square picture at 225% of the original size, and the original picture has a side length of 4 inches, then the new side length can be determined by calculating 4 inches × (225/100). The correct calculation for the side length of Amy's printed picture should be 4 inches × 2.25 (or 225%) which equals 9 inches.

Therefore, the statements should be evaluated as follows:

Answer:

No This is an unique triangle.

Step-by-step explanation:

Given that:

=> it is an isosceles triangle

According to the property of an isosceles triangle, the measurements of the two non-included angle are equal.

=> This is an equilateral triangle because the two non-included angles and include angle ( 180° - 2 *60°)  are 60° .

This is an unique triangle.

Answer:No because you cannot form another triangle out of it. It only makes 1 shape.

Step-by-step explanation:

Answer:

$56

Step-by-step explanation:

$40+$16(that is, 8+8)=56 and 50+6=56

Answer:

4/5

Step-by-step explanation:

M=rise/run

Answer:

24x + 64y = 384

The linear equation that expresses the situation is 24x + 64y = 384. This equation represents the number of cans of fruit (x) and cans of vegetables (y) processed at different rates. We can check the equation by plugging in values of x and y.

The linear equation that expresses the situation is 24x + 64y = 384. This equation represents the number of cans of fruit (x) processed at a rate of 24 cans per minute and the number of cans of vegetables (y) processed at a rate of 64 cans per minute. The left side of the equation represents the total number of cans processed, and the right side represents the total number of cans in the order, which is 384. We can check this equation by plugging in the values of x and y to ensure that it satisfies the condition of the order. For example, if we plug in x = 4 and y = 3, we get 24(4) + 64(3) = 384, which is true.

For more about Linear Equations:

https://brainly.com/question/32634451

#SPJ3

Answer:

90° rotation around (0,0)

Answer:

90 rotation around (0, 0)

Step-by-step explanation:

D. Equivalent Fractions

Answer:

D: equivalent fractions

Step-by-step explanation:

hope this helped :)\

stay safe

brainliest is appreciated

Answer:

A) Mean

Step-by-step explanation:

The mean of a data set is one of the ways to calculate the center of tendency, center of data, or the "average".

Example of a set of data: 4, 2, 1, 6

Mean = sum of data / number of data

= (4 + 2 + 1 + 6) / 4

= 13 / 4

= 3.25

Other incorrect answers:

Range - this shows the difference between highest and lowest values in a data set.

Using our example:

highest = 6; lowest = 1

Range = highest - lowest

= 6 - 1

= 5

Median - this shows the "middle" of data if you lined them up from least to greatest, and found the number in the middle.

Using our example:

4, 2, 1, 6

1, 2, 4, 6           Reorder from least to greatest

1, 2, 4, 6           Focus on the middle

(2 + 4)/2 = 3      Find the mean of the two middle numbers

Median = 3

Outlier - this names a piece of data that is far off from what the rest of the numbers are

In our example, we have no outliers.

However, if the data was 4, 2, 1, 6, 20

Then the outlier would be 20.

Answer:

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Step-by-step explanation:

Let

x ----> the number of 7th students on the Jackson Middle School basketball teams

y ----> the number of 8th students on the Jackson Middle School basketball teams

we know that

There are 53 students on the Jackson Middle School basketball teams

so

[tex]x+y=53[/tex] -----> equation A

The number of 8th graders is 15 fewer than three times the number of 7th graders

so

[tex]y=3x-15[/tex] ----> equation B

substitute equation B in equation A

[tex]x+(3x-15)=53[/tex]

solve for x

[tex]x+3x=53+15\\4x=68\\x=17[/tex]

Find the value of y

[tex]y=3(17)-15=36[/tex]

therefore

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Final answer:

To solve the problem, we set up an equation where x represents the number of 7th graders and solved it to find that there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.

Explanation:

The problem states that there are 53 students in total on the Jackson Middle School basketball teams, with the number of 8th graders being 15 fewer than three times the number of 7th graders. Let's denote the number of 7th graders as x. Thus, the number of 8th graders is 3x - 15. The total number of students on the basketball teams is the sum of the 7th and 8th graders, which can be represented by the equation x + (3x - 15) = 53.

Solving the equation:
4x - 15 = 53
4x = 68
x = 17 (number of 7th graders)
3x - 15 = 3(17) - 15 = 51 - 15 = 36 (number of 8th graders)
So, there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.

Answer:

15 inches^2

Step-by-step explanation:

The area of a triangle can be found using:

a=1/2 bh

We know the base (b) is 6, and the height (h) is 5, so we can substitute them in

a= 1/2 (6)(5)

a=1/2 (30)

a=15

The area is 15 inches^2

Answer:

[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]

Step-by-step explanation:

Recall, if we have a polynomial of the form [tex](x-a)^k \cdot (x-b)^m[/tex], then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form [tex](x+5)^10(x-2)^3[/tex] -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial,  just add the multiplicity of both zeros (13 in our example).

In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form

[tex]f(x)=(x-a)(x-b)^2)[/tex].

In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that

[tex] f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2[/tex].

Which implies that [tex] 1 = a\cdot b^2[/tex]. Since the square of any number is a positive number, it must happen that a>0. So, we have that

[tex]b= \pm \sqrt[]{\frac{1}{a}}[/tex].

We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be

[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]

which we can easily check that f(0)=-1.

Answer:

You can represent most things with a partial fraction, anything in the form:

[tex]\frac{f(x)}{(x+\alpha )(x-\beta )}=\frac{A}{(x+\alpha )}+\frac{B}{(x- \beta )}[/tex]

Notice how the roots of the equation from the denominator on the left hand side are used to form the denominations of fractions on the right hand side.

We can now multiply both sides by the denominator on the left hand side.

[tex]f(x)=A(x-\beta )+B(x+ \alpha )[/tex]

We can now setup 2 simultaneous equations by substituting [tex]x[/tex] for your values of [tex]-(- \beta )[/tex] and [tex]-\alpha[/tex] to make [tex]A[/tex] or [tex]B[/tex] 0, allowing you to find the other [tex]A[/tex] or [tex]B[/tex] value.

[tex]f(-\alpha ) = A(-\alpha - \beta) + 0\\f(\beta ) = 0 + B(\beta + \alpha )[/tex]

Answer:

[tex]160ms^{-1}[/tex]

Step-by-step explanation:

[tex]d(t)=16t^2\\[/tex]

To work out rate of change of a function, you must differentiate it.

[tex]\frac{\Delta d(t)}{\Delta t} =32t[/tex]

[tex]d'(8)-d'(3)=32*8 - 32*3=32*5=160ms^{-1}[/tex]

Answer:

30 dolls

Step-by-step explanation:

First, divide 100 by the percentage, which is 20, to get the number you need to multiply 6 by. 100/20 = 5. Then, multiply 6 by that number. 6*5 = 30. So, the total number of dolls in Anitas collection is 30.

To check, find 20% of 30 (and make sure it equals 6). To do so, convert 20% to a decimal, which is 0.2. 0.2*30 = 6. So, you have the correct answer.

Answer:

Anita has 30 dolls

Step-by-step explanation:

Let the number of dolls with Anita be x

20% of x = 6

[tex]\frac{20}{100}*x=6\\\\\frac{1}{5}*x=6\\\\x=6*\frac{5}{1}\\\\x=30[/tex]

Anita has 30 dolls

Answer:

0

Step-by-step explanation:

tan(60 - 60)

tan(0) = 0

1/10 × 0 = 0

Answer:

may be 17.5 yd2

Step-by-step explanation:

1/2 b*h

1/2 5*7

1/2 35

1*35/2

35/2

17.5

Answer:

10y

Step-by-step explanation:

Answer: the answer would be 10y

Answer:

2

6

11

102

Step-by-step explanation:

1^2+2=2

2^2+2=6

3^2+2=11

10^2+2=102

Answer:

brainly have anything and everything that you need just ask the question and it will give the answer that they have

Step-by-step explanation:

Answer:

There are 90° in a quarter circle.

Answer:

90 degrees

Step-by-step explanation:

I believe its 90 degrees because if you have half of a protractor it only goes up to 180 degrees but if you have a whole one (dont know if it exists) you will have 360 degrees but if you put that  into fourths it would result it in being 90 degrees.

Answer:

The correct answer is$5.50 for 5

Step-by-step explanation:

5.50/5=1.1

Answer:

The lowest is B) 5.50 for 5

Step-by-step explanation:

To find the lowest rate, divide the cost by how many times.

6.20/ 4 = 1.55 each

5.50/5 = 1.1 each

5.00/ 4 = 1.25 each

1.15/ 1 = 1.15 each

The lowest is B) 5.50 for 5