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Answer:

The average rate of change is of -13.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function in an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

Between 2 and 6. So

[tex]f(6) = -5(6) - 6^2 = -30 - 36 = -66[/tex]

[tex]f(2) = -5(2) - 2^2 = -10 - 4 = -14[/tex]

[tex]A = \frac{-66 - (-14)}{6 - 2} = \frac{-66 + 14}{4} = \frac{-52}{4} = -13[/tex]

The average rate of change is of -13.

Answer:

The best test to see if more mosquitoes are attracted to people after drinking beer is the z-test for the difference in proportion of two populations

Step-by-step explanation:

The study tested if drinking bear increases the attractiveness to mosquitoes

The number of people the taking part in the study, n = 30 people

The total number of mosquitoes in the study = 50 mosquitoes

The proportion of mosquitoes flying to each volunteer is measured before and one hour after consuming bear

The mean number of mosquito flying towards a volunteer can be found by summing the other proportions that fly towards the 30 volunteers and dividing by n₁ = 30, before and n₂ = 30 after the respondents had bear to obtain [tex]\hat{p}_{1}[/tex] and [tex]\hat{p}_{2}[/tex]

Given that the variances are equal and the sum of the sample for the two tests, n₁ + n₂ = 60 > 30, it is, best to use the the z-test for the difference in proportion as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Where the pooled mean, [tex]\hat p[/tex], is given as follows;

[tex]\hat p = \dfrac{n_1 \cdot \hat p_1 + n_2 \cdot \hat p_2}{n_1 + n_2}[/tex]

Answer:

18 cm

Step-by-step explanation:

Answer: square y cubed

Step-by-step explanation:

Answer:y=x+5

Step-by-step explanation:

Answer:

7x+28

Step-by-step explanation:

7(x+4)

Use the distributive property to multiply 7 by x+4.

7x+28

Graph if needed:

Answer:

a trapezoid can have either 2 right angles or no right angles at all

Step-by-step explanation:

circumference = 2*(22/7)*r^2

r=d/2

so answer is 103.62

Answer:

5 batches per hour

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Angles are congruent b/c of the corresponding angles thm

6x + 8 = 3x + 38

3x = 30

x = 10

Answer:

9#  415     10# 2 hotdogs and one hamburger

Step-by-step explanation:

Hope this helps!!!  

have a great day!

Answer:

58 units

Step-by-step explanation:

I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)

Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.

Finally, I solve for the area of the triangle:

1/2(46.25 x 2.5) ≈ 58 units (rounded to the nearest whole number)

Answer/Step-by-step explanation:

There are actually two methods that can be used to calculate AC (x):

1. Using Pythagorean Theorem

2. Using Trigonometric Function

1. Using Pythagorean Theorem, we have:

x = √(15² + 20²)

x = √625

x = 25 units

2. Using Trigonometric Function:

Reference angle = 37°

Adjacent = 20

Opposite = 15

Hypotenuse = x

Apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 15/x

x × Sin 37 = 15

x = 15/sin 37

x = 24.9246021 ≈ 25 units (nearest whole number)

Answer:

Please find attached the Box Plot Created with Microsoft Excel

The outliers are 11, and 14

Step-by-step explanation:

The given data is presented as follows;

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14

From the data, we have;

The first quartile, Q₁ = 1

The second quartile, (The median) Q₂ = 2.5

The third quartile, Q₃ = 4.75

Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75

Therefore, the values above Q₃ + 1.5 × IQR are outliers

Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375

Therefore, 11, and 14 are outliers

The boxplot created with Microsoft Excel is attached

Answer:

apr is 500

Step-by-step explanation:

im an idiot sorry for waisting your time

The annual percentage rate is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (162.50 \times 2 \times 100\%) \div \$5,000[/tex]

= 6.5%

Therefore we can conclude that the annual percentage rate is 6.5%.

Learn more: brainly.com/question/24169758

Answer: F

Step-by-step explanation:

Answer:

What steps are used to solve this equation? 2/7 Complete each statement First, y on both sides of the equation. Next, simplify the equation by The solution of the equation is Check the solution by substituting V 144 for x and simplifying.​

Step-by-step explanation:

Next time, dont trust me to answer things correctly.

Answer:

C,A,D,D

Step-by-step explanation:

Answer:

add 6 to both sides and dividing both sides by 5.

Answer:

add 6 to both sides then divide both sides by 5

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Hope you pass good luck to you!

Answer:

Step-by-step explanation:

The figure is the trapezoid

Trapezoid area formula:

Substitute values and solve:

Step-by-step explanation:

1)

180-68-41= 71°

2)

180-47-16=117

5)

m<1= 180-68-77= 35°

m<2= 77°

m<3 = 180-90-41= 49°

m<4 = 180-41-62= 77°

m<5= 90-28= 62°

m<6= 180-49-103= 28°

Answer:

x = 16

Step-by-step explanation:

If the figure is a parallelogram, the opposite sides are the same length

3x+20 = 5x-12

Subtract 3x from each side

3x+20 -3x = 5x-12-3x

20 = 2x-12

Add 12 to each side

20+12 = 2x-12+12

32 = 2x

Divide each side by 2

32/2 = 2x/2

16 =x

9514 1404 393

Answer:

  x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}

Step-by-step explanation:

I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...

  2x^5 -6x^3 -4x^2 -2x +4 = 0

  2(x -2)(x^4 +2x^3 +x^2 -1) = 0

We can recognize that the quartic factor is actually the difference of two squares:

  x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0

So it resolves to two quadratic factors.

  (x^2 +x +1)(x^2 +x -1) = 0

One will have real roots, as shown by the graph. The other will have complex roots.

  x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots

  (x +1/2)^2 = 5/4

  x = -1/2 ± √(5/4) . . . . . . irrational real roots

__

  x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots

  (x +1/2)^2 = -1 +1/4 . . . complete the square

  x = -1/2 ± i√(3/4) . . . . irrational complex roots

__

In summary, the values of x that satisfy the equation are ...

 x = 2

  x = -1/2 ± √(5/4)

  x = -1/2 ± i√(3/4)

Answer:

I believe it will be day 3

Step-by-step explanation:

Day 1 for Hertz starts at 90, while day 1 for enterprise is starting at 85

day 2 (H)

130

day 2 (E)

130

day 3 (H)

170

day 3 (E)

175

Answer:

yes and no a.a

Step-by-step explanation:

Car A travels the fastest on 1 gallon of gas.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. The unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that car, the magazine reports the numbers of miles driven for different amounts of fas for Three car.

Consider us solving for the miles per gallon of individual cars

A. miles driven =140

A gallons= 5

x= 140/5

x= 28 miles per gallon

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

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Answer:

14

Step-by-step explanation:

Take the square root of 11650+14:

%:11650+14

108

So it’s a perfect square (108^2=11664).

Answer:

Step-oby-step explanation:

Answer:

what do you need help with? i can try to help you

Step-by-step explanation:

Answer:

Help with what, where is the ?