The line shows how much it costs to rent a moving van. What is the slope of the line?​

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

For such more questions on Radius:

https://brainly.com/question/24375372

#SPJ11

Answer:

3 gallons = 12 ounces

12 x 3 = 36 ounces

So, for the area of a circle, there should be a line in the middle. Correct?

Well, that line is the diameter. Then cut that in half, so if the diameter is 6, the radius is 3.

Then multiply the the radius by the radius, so 3x3 once you get that, multiply the answer by pi. Pi= 3.14, so if you do 3x3x3.14 you should get 28.26. Hope this helps.

Answer:

The margin of error for a 95% confidence interval is 0.199.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

Assume that the population standard deviation is 2.8.

This means that \(\sigma = 2.8\)

760 millennials (18- to 33-year-olds)

This means that \(n = 760\)

Give the margin of error for a 95% confidence interval.

\(M = z\frac{\sigma}{\sqrt{n}} = 1.96\frac{2.8}{\sqrt{760}} = 0.199\)

The margin of error for a 95% confidence interval is 0.199.

Answer:

400

Step-by-step explanation:

2 x 10 = 20

20 to the power of 2 is 400 because 20 x 20 = 400

Let's look at the question:

Write the product of the quantity 4 less than triple a number and the quantity 5 more than 2 times a number.

4 less than 3 times a number

4 - 3 * n

5 more than 2 times a number

5 + 2 * n

Now we have to write this problematic question as a product:

(4 - n3) * (5 + 2a) (Dont forget the parenthesis!)

Answer:

A) 1017.9

Step-by-step explanation:

the radius is the bottom line which is 9

The height is the line on the inside which is 12

1/3 x 3.14 x \(9^{2}\) x 12= 1017.36

but if you were to answer it with the pi symbol you would get the estamite of 1017.88 which rounded to the tenths is 1017.9

Answer:

-30 feet

Step-by-step explanation:

it is -30 feet because that one is closest to sea level because -42 feet is -12 feet more than -30 feet. plsss give me brainliest plssss

Answer:

Step-by-step explanation:

Hey there,
Here's my reasoning regarding the problem:

Let's assume that the watch at the time it was lost was x years old.
When it was picked it was 3 times as old as it was when it was lost therefore it's currently 3x. The time between when it was lost and when it was found is 38 years. We can break this down into a simple algebraic formula:

3x - x = 38

2x = 38

x = 19

Answer:

Unable to read entire question, but see explanation for answer

Step-by-step explanation:

First, you need to find the unit rate per dog. If it takes 3 dogs 10 days to finish 30 pounds of food, then it takes 1 dog 1 day to finish 1 pound of food. I cannot read the entirety of the question because of the cropping, but you can find how much food a single dog eats in that amount of days by just multiplying by the number of days (say, 1 pound in 1 day, or 3 pounds in 3 days). Hope this helps!

Answer:

1

Step-by-step explanation:

took test

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

Answer:

7.5% compounded continuously yields the greatest return after 9 years

Step-by-step explanation:

Compounded interest = P(1+r/n)^(nt), where P is the principle, r is the rate of interest, n is the number of times compounded annually, and t is the time of the investment.

7.6% compounded semiannually:

I = 11000(1+0.076/2)^(2*9) --> 11000(1.038)^18 ~ $21525.09

7.5% compounded continuously:

Since it is compounded continuously, we use the mathematical constant e.

I = 11000e = $29901.01

There are 20 students have more than 2 pets.

We have to given that;

A line plot titled Number of Pets of Third Grade Students.

Here, By given information we get;

Number of students have more than 2 pets are,

⇒ 4 + 2 + 3 + 0 + 1 + 5 + 1 + 1 + 3

⇒ 20

Thus, There are 20 students have more than 2 pets.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

The intervals where the function is increasing are (-∞, 0) and (-1/3, ∞), and the interval where the function is decreasing is (0, -1/3).

The given function is g(t) = (3t) / (t2 +1). To find the intervals where the function is increasing and decreasing, we must first find the derivative of the function. Using the quotient rule, we can find the derivative of this function to be g'(t) = (3(t2 +1) - 3t(2t)) / (t2 +1)2. Simplifying, this yields g'(t) = (t2 + 1 - 6t) / (t2 + 1)2. To find the intervals, we must set the derivative equal to zero and solve for t. Doing this yields t = 0, or t = -1/3.

To find where the function is increasing and decreasing, we must evaluate the function at t = 0 and t = -1/3. Evaluating the function at t = 0, we get g(0) = 0. Evaluating the function at t = -1/3, we get g(-1/3) = -3/2. Since g(0) < g(-1/3), the function is increasing on the interval (-∞, 0) and decreasing on the interval (0, -1/3). The function is increasing on the interval (-1/3, ∞). Therefore, the intervals where the function is increasing are (-∞, 0) and (-1/3, ∞), and the interval where the function is decreasing is (0, -1/3).

Learn more about interval here:

https://brainly.com/question/14641200

#SPJ4

Answer:78

Step-by-step explanation:

very simple

acb is an enlargment of fdc

39/18=2 3/18

2 3/18x36=78

Answer:

A

Step-by-step explanation:

compare the numbers

Answer:

1.   Roy

2.  k = 15

Step-by-step explanation:

equation 5 ÷ 1/3 = k

Jill        k x 1/3 = 5    √

Roy      k x 5 = 1/3     x

Ted     5 = 1/3 x k     √

solving the equation

k = (5 x 3) / 1

k = 15

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

If the original triangle has an area equal to 729 small dotty triangles. The original triangle has an area of 8 square units.

Let's first find the pattern of the number of small triangles in each row. The first row has 1 small triangle. The second row has 3 small triangles. The third row has 5 small triangles, and the fourth row has 7 small triangles. We can see that the pattern is that each row has 2 more small triangles than the previous row.

To find how many small triangles are in the third row, we add 2 to the number of small triangles in the second row:

3 + 2 = 5

So there are 5 small triangles in the third row.

To find how many small triangles are in the fourth row, we add 2 to the number of small triangles in the third row:

5 + 2 = 7

So there are 7 small triangles in the fourth row.

To find the total number of rows, we can count the number of rows from the top of the triangle to the bottom. Alternatively, we can use the formula for the sum of an arithmetic series to find the number of terms in the sequence. In this case, the first term is 1, the common difference is 2, and the last term is 7. Using the formula:

n = (last term - first term) / common difference + 1

n = (7 - 1) / 2 + 1

n = 4

So there are 4 rows in the triangle.

Finally, we can use the formula for the sum of an arithmetic series to find the total number of small triangles in the original triangle. In this case, the first term is 1, the common difference is 2, and the number of terms is 4. Using the formula:

sum = (n / 2) * (first term + last term)

sum = (4 / 2) * (1 + 7)

sum = 4 * 4

sum = 16

So there are 16 small triangles in the original triangle. Since each small triangle has an area of 1/2, the total area of the original triangle is:

area = 16 * (1/2)

area = 8

Therefore, the original triangle has an area of 8 square units.

Learn more about triangle here:https://brainly.com/question/17335144

#SPJ1

Hey there!

The answer is 72 - 2n.

"twice a number" represents a number multiplied by 2. So we have "2n"

"decreased by twice a number" would mean subtracting twice a number, or subtracting "2n".

"72 decreased by" means that we are subtracting the number FROM 72, so we get "72 - 2n".

Have a super awesome day! :)

The truth value of "If 3 + 4 = 12, then 3 + 2 = 6", is true.

Truth value is defined as whether the given proposition is either true or false, not both.

Here the proposition is of the form if p, then q.

Here p is the statement 3 + 4 = 12 and q is the statement 3 + 2 = 6.

Here, both of the propositions are false.

The truth value of 'if p, then q' is false only when p is true and q is false. In all other cases the truth value is true.

Here, since both of the statements are false, the truth value is true.

Hence the truth value of the given proposition is true.

To learn more about Truth Values, click :

https://brainly.com/question/18994288

#SPJ1

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

Learn more about numbers in https://brainly.com/question/24908711

#SPJ1

Answer:

increases

Step-by-step explanation:

Since the lines goes up as the variable F increases( F is the horizontal variable), C will increase

Answer:

The line increases because u can obviously see the line going up...

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

The sum of the given angle and angle 2 must be 180 degrees. In fact the angle over 2 measures 150 degrees because it is the corresponding of the given angle.

Answer:

Step-by-step explanation:

number of elements in set A=5

number of elements in set B=5

so they are equivalent.

You prοbably know our football and basketball teams, but we have 21 Divisiοn I varsity programs that all raise the bar whenever they compete.

There were 465 people whο were surveyed in all.

The attendance at the FSU-Marist game was (M), n(M)=240.

The attendance at the FSU-Butler game was (B), n(B)=200.

The tοtal number οf spectators for the FSU-NC State game was n(NCS)=240.

The cοmbined attendance at the NC State game and the Marist game was n(MNCS)=90.

The cοmbined attendance at the Butler vs. NC State game was n(NCSB)=80.

The cοmbined attendance at the Butler and Marist games was n(BM)=100.

n(MBNCS)=30 peοple attended all three of the games.

When NC State's first football game was οrganised by students in 1892, the school's long histοry of intercollegiate athletics officially started.

To learn mοre about Butler game refer to  :

https://brainly.com/question/29293809

#SPJ1