Find the average rate of change of g ( x ) = 3 x^3 − 4 from x = − 4 to x = 1 .

Answer:

Step-by-step explanation:

area of rectangle=6×4=24 ft²

area of semicircle

\(=\frac{1}{2} \pi (3)^2\\= \frac{9}{2} \pi \\=4.5 \pi \\\approx 4.5\times 3.14\\\approx 14.13 ft^2\\total~area=24+14.13\\=38.13 ~ft^2\)

The length of each side of a square is 10 cm.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, the perimeter of a rectangle is 2(length×width) and the perimeter of a square is 4×(side).

Given, The length and width of the rectangle are 13cm and 7 cm respectively.

Therefore, the perimeter of the rectangle is = 2(13×7) = 2×20 = 40 cm.

So, The perimeter of the square is also 40 cm.

Therefore, The length of the side is 4×side = 40.

side = 40/4.

side = 10 cm.

learn more about squares here :

https://brainly.com/question/13651858

#SPJ1

Answer:

A = 6940 m²

Step-by-step explanation:

We are told that there is a clover leaf intersection.

I have attached a picture of it with the 4 circles showing.

We are told the diameter of each circle is the same and equal to 47 m.

Thus, radius = 47/2 = 23.5 m

We want to find the area of grass that will cover the 4 circles. Thus;

Formula for area of a circle is;

A = πr²

For the 4 circles, we have;

A = 4πr² = 4 × π × 23.5²

A = 6939.78 m²

Approximately A = 6940 m²

The required, difference between the perimeters of the two rectangles is,

⇒ 46.03 in.

Since, rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k.

Then, We get:

k = XY / LM

k = 2.22 / 19

To find the value of k, we can divide 2.22 by 19:

k ≈ 0.117

Hence, The area of rectangle LMNP is given as,

140.6 in².

We can use this to find the length of NP:

LM x NP = area of LMNP

19 x NP = 140.6

NP ≈ 7.4 in

Since, the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:

XY / YZ = LM / NP

2.22 / YZ = 19 / 7.4

YZ ≈ 1.167 in

Now we can calculate the perimeters of both rectangles:

Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in

Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in

Thus, The difference between the perimeters is:

52.8 - 6.77 = 46.03 in

Learn more about the perimeter here:

brainly.com/question/6465134

#SPJ1

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

To know more about whisker plot,

https://brainly.com/question/2742784

#SPJ1

Answer:

25+(0.07xm)=103.82      m=1126

Here m/n be the probability of  123/392, where m is  123 and n is 392,  so the  m+n is  515  

Here considering xⁿ to be the flipping heads of n numbers , so the generating functions for these coins are (1+x)(1+x)(3+4x) order, so  the  product those orders we get ,

(1+x)*(1+x)*(3+4x)= 4x^3+11^2+10x+3 ,here axⁿ means the n number of ways to get n number of  head .Now the square of the sum of the coefficient is (4+11+10+3)²= 28^2 =784, and the sum of the square of each coefficient is(4²+11²+10²+3²)=  246.The probability will be: 246/784=123/392 =123+392 =  515  

To know more about probability refer to the link  brainly.com/question/27430404

#SPJ4

Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

Answer:

Your answer is 1

Step-by-step explanation:

3^-1*24*2^-3

Now look for exponents

3^-1= 1/3 because 3^1 = 1/3

and

2^-3=1/( 2*2*2) = 1/8

= (1/3)*24*(1/8 )

now multiply from left to right.

(1/3)*24= 8

8*(1/8)= 1

Hope it helps

Peace out

^^ ^-^ :) ;) $-$

The line equation in general can be written as,

Here m is the slope and b is the y intercept.

We have, slope (m) = 4 and y intercept (b) =7. So we can write the line equation as,

9514 1404 393

Answer:

  B) [2,∞)

Step-by-step explanation:

The range is the vertical extent of the graph. Here, the minimum is 2, and it goes up from there. The range is ...

  [2, ∞)

Answer:

f(x) = 3x + 2

x = 3f-1(x) + 2

x - 2 = 3f-1(x)

(x - 2)/3 = f-1(x)

(14 - 2)/3 = f-1(14)

12/3 = f-1(14)

4 = f-1(14)  

f(f-1(14)) = f(4)

f(4) = 3(4) + 2

f(4) = 12 + 2

f(4) = 14

A function and its inverse are inverse operations, like addition and subtraction. They undo each other.

f(f-1(x) = x

Step-by-step explanation:

Answer

96

Step-by-step explanation:

1/2x+12=60

1/2x=48

x=96

Answer:

156/12=13

so makes 13 dollars a hour

Hope This Helps!!!

To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.

Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.

Answer:

D. 36 ft²

Step-by-step explanation:

area = 9×4 = 36 ft²

---

Answer:

Step-by-step explanation:

You will use Pythagoreans Theroy. which is going to give you the anwser of square root of 13.

Answer:

3.6

Step-by-step explanation:

We can use the Pythagorean Theorem for this problem which is a²+b²=c² .

So we'll make 2 "a", and 3 "b". So 2*2=4. Then 3*3=9

4+9=13

Now we need to find the square root of 13.

√13 = 3.60555127546399

Let's now round that number, which is going to be 3.6

\( - 12 {e}^{ - x } + 8 = 7 \\ - 12 {e}^{x} = - 1 \\ {e}^{ - x} = \frac{ - 1}{ - 12} \\ {e}^{ - x} = \frac{1}{12} \\ \)

taking e to the other side will equal ln , bringing -x down

\( - x = ln( \frac{1}{12}) \\ x = - ln( \frac{1}{12} )\)

insert this in your calculator, you will get :

\(x = 2.484906... \\ \)

rounding off to nearest thousand :

\(x = 2.485\)

hope this helps...

Answer:

What's the "following answers"?

Step-by-step explanation:

You won't get a straight answer unless you attatch a picture  

1/2 + 1/3 would equal something around 0.8333...

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

19 4-cent stamps and 3 28-cent stamps should be used.

Given that Greg needs at least $ 1.60 in stamps to mail a package, and he has 28cent stamps and 4cent stamps, and he can use no more than twenty 4cent stamps as he only has one book left, to determine how many stamps to use should be made the following calculation, through a linear function:

Therefore, 19 4-cent stamps and 3 28-cent stamps should be used.

Learn more in https://brainly.com/question/15325318

Answer:

A

Step-by-step explanation:

With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.

Answer:

the least common multiple is 1360

Step-by-step explanation:

The lcm of 17 and 80 is the smallest positive integer that divides the numbers 17 and 80 without a remainder. Spelled out, it is the least common multiple of 17 and 80. Here you can find the lcm of 17 and 80, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the lcm of 17 and 80, but also that of three or more integers including seventeen and eighty for example. Keep reading to learn everything about the lcm (17,80) and the terms related to it.

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

To learn more about the Unitary method refer to the link below:

https://brainly.com/question/8083231

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

L,M,N are midpoints altitude to ac​

Given:

The equation of parallel line is \(y=-\dfrac{1}{4}x+5\).

Required line passes through (2,-3).

To find:

The equation of line.

Solution:

We have,

\(y=-\dfrac{1}{4}x+5\)

On comparing this equation with \(y=mx+b\), where m is slope, we get

\(m=-\dfrac{1}{4}\)

Slope of two parallel lines are always same. So, slope of required line is \(m=-\dfrac{1}{4}\).

The required line passes through the point (2,-3) having slope \(m=-\dfrac{1}{4}\), so the equation of line is

\(y-y_1=m(x-x_1)\)

\(y-(-3)=-\dfrac{1}{4}(x-2)\)

\(y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)\)

\(y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}\)

Subtracting 3 from both sides, we get

\(y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3\)

\(y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}\)

\(y=-\dfrac{1}{4}(x)-\dfrac{5}{2}\)

Therefore, the equation of required line is \(y=-\dfrac{1}{4}(x)-\dfrac{5}{2}\).

Answer: My guess is hes incorrect,  its 500 because we know 5 tens is 50 and if we make it ten times 50 it is 500

Answer:

No he’s not correct

Step-by-step explanation:

So he says that 10 times 5 tens is 5 thousands. 5 tens is 50. So if you do 10 times 50 it’s only 500 not 5 thousand. At least this is what I think you mean

Answer:

with those u can't lol but it's 6 11 and 13

The information provided by each of the graphs is Sales from July to December and graph A best represents the data

From the question, we have the following parameters that can be used in our computation:

The graphs

On the graphs, we have the information to be

Sales from July to December

The graph that is the best representation of the data is the A

This is because the scale and origin of the graph are defined

Read more about graphs at

https://brainly.com/question/28350999

#SPJ1