The length of a rectangle is twice its width.
If the perimeter of the rectangle is 48 ft, find its length and width.

A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.

The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.

The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.

Learn more about triangular prism on:

https://brainly.com/question/27102803

#SPJ1

Answer:131290

Step-by-step explanation:13129*100/10=131290

ANSWER

6825 miles

EXPLANATION

The ratio of miles to hours the jet travels at is,

So, in 13 hours,

It will travel 6825 miles.

Answer:

14.997

Step-by-step explanation:

yea yeaaa i knowwww

Answer:

ED = 31

DT = 20

Step-by-step explanation:

m< ESD = 90-52=38°

the distance ED = 40×tan 38° = 31.25 = 31

ET = 40 x tan (90-38) = 40×tan 52°

= 51.19= 51

the distance DT = 51-31 = 20

Answer:

125.0272

Step-by-step explanation:

7 (1.14)^22

Each hour it grows 14%. This means after 1 hour, it has grown 7*1.14. After two hours 7*1.14 (1.14) or 7*(1.14)^2, etc so after 22 hours use equation above to solve.

After 22 hours the bacteria will be 125 bacterias.

The growth rate of bacteria is given an exponential growth rate of 14%. Initially, there are 7 bacteria after 22 hours what would be the numbers of bacteria to be determined.

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Function for the growth rate of the bacteria is given by
= 7(1+14%)^x
=  7(1.14)^x

For 22 years,
= 7 (1.14)^22
= 125

Thus, After 22 hours the bacteria will be 125 bacterias.            

learn more about exponential function here:
https://brainly.com/question/15352175

#SPJ2

By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

The Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.

ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).

Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

Substituting the given values, we get:

2/c = [ 2ln7 - 2ln1 ] / (7 - 1)

2/c = ln7

c = 2 / ln7

c ≈ 0.909

Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

Learn more about mean on:

https://brainly.com/question/1136789

#SPJ1

The volume of the cylinder is 8,038.4 ft3

The height(H) is 10ft

The diameter is 32 ft

The formula for calculating the volume of a cylinder is

πr²h

Radius= 32/2

= 16

Volume= 3.14 × 16² × 10

= 3.14 × 256 × 10

= 8,038.4

Hence the volume of the cylinder is 8,038.4 ft3

Read more on volume here

https://brainly.com/question/16136732

#SPJ1

The information related to the quadratic equation is given below.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A polynomial with degree 2 is called a quadratic equation.

It is in the form of ax² + bx + c

So,

We can recognize a quadratic equation if the highest power of the equation is two.

Now,

The methods that can be used to solve are:

Middle-term factorization.

Example:

x² + 2x + 1

x² + (1 + 1)x + 1

x² + x + x + 1

x(x + 1) + 1(x + 1)

(x + 1) (x + 1)

Using the determinant formula.

ax² + bx + c

x = [-b ± √(b² - 4ac)] / 2a

Now,

The number of solutions is equal to the degree of the quadratic equation.

Now,

The discriminant of a quadratic equation is [-b ± √(b² - 4ac)] / 2a.

Where ax² + bx + c is the equation.

The discriminant determines the solutions.

Thus,

The information related to the quadratic equation is given above.

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ1

Answer:

3840

Step-by-step explanation:

1.12 times 25 is 28

1.28 times 3000

Answer:

40.5

Step-by-step explanation:

Answer:

y=-7x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-7(x-(-1))

y-2=-7(x+1)

y-2=-7x-7

y=-7x-7+2

y=-7x-5

Answer:

c

Step-by-step explanation:

system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. ... The solution to the system will be in the point where the two lines intersect.

Answer:

x=6, y=5

Step-by-step explanation:

plug it in!

Answer:

Step-by-step explanation:

-5x + 5y = -5

6x - 5y = 11

x = 6

6 - y = 1

-y = -5

y = 5

(6, 5)

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To know more about the hypothesis follow

https://brainly.com/question/23730829

#SPJ1

Answer: 22 divided by 40 would equal 0.55.

The linear correlation coefficient, r, is -0.0048. The p-value is 0.9952. Since the p-value is greater than the significance level of 0.01, we cannot reject the null hypothesis.

Find the degrees of freedom.

df = n - 2

df = 10 - 2 = 8

Find the t-value.

t = r * √(n - 2) / σ

t = -0.0048 * √(10 - 2) / 1.23 = -0.037

We can use the interpolation method to find the p-value. The interpolation method involves finding the two t-values that are closest to -0.037 and then averaging their corresponding p-values.

The two t-values that are closest to -0.037 are -0.040 and -0.034. The corresponding p-values for these t-values are 0.684 and 0.711. The average of these p-values is 0.6975. Therefore, the p-value is 0.6975.

Since the p-value is greater than the significance level of 0.01, we cannot reject the null hypothesis.

Learn more about correlation on

https://brainly.com/question/28175782

#SPJ1

Answer:

Step-by-step explanation:

Product means multiply.

-300

Answer:

198 1/3

Step-by-step explanation:

arithmetic sequence formula for the nth term:

aₙ = a₁ + (n-1)d

d = the common difference between each term

a₇ = a₁ + (7-1)d

34 = 5 + 6d

subtract 5 from both sides to isolate d and its coefficient

29 = 6d

divide both sides by 6 to isolate d

d = 29/6

a₄₁ = a₁ + (n-1)d

    = 5 + (41-1)d

    = 5 + 40d

    = 5 + 40(29/6)

    = 198 1/3

Answer:

-560 is the answer

Step-by-step explanation:

658 - (-560 )= 98

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

658 - 560 = 98

Hope this helps!! :D

Answer: answer is C

Step-by-step explanation:

for find x
(5x+30)+5x=90
 5x+30+5x=90 add like terms
after,
 10x+30=90
10x+30-30=90-30
 10x/10=60/10
   x = 6

to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90

4n² - 16n - 84 = 0

Multiply both sides by 1/4 :

n² - 4n - 21 = 0

Add 21 to both sides:

n² - 4n = 21

Complete the square by adding 4 to both sides:

n² - 4n + 4 = 25

(n - 2)² = 25

Solve for n :

n - 2 = ± √25

n - 2 = ± 5

n = 2 ± 5

Then n = 2 + 5 = 7 or n = 2 - 5 = -3.

Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.

The graph is given below.

From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.

Then the correct option is A.

More about the function link is given below.

brainly.com/question/5245372

#SPJ9

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

Answer:

students of mr.wilson :30

students of Mr.star : 12 less than Mr.wilson

then, 30-12=18

Answer: 200

Step-by-step explanation:

Let the unknown number be x.

Therefore, 20%*x = 40

20% as a fraction is 1/5.

Therefore x*(1/5) = 40

Multiply both sides by 5:

x = 200

Answer:

18

Step-by-step explanation:

You always multiply when doing area.

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves