5
In August, Peter rakes 5 lawns. He earns $8 for each lawn he rakes.
In September, Peter earns $10 raking lawns.
The equation shown can be used to find m, the total amount of money Peter earns raking lawns in August and September.
5 x 8 + 10 = m
What is the total amount of money Peter earns raking lawns in August and September?
OA. 55
B. 58
OC. 50
D. 23
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Answer:

Step-by-step explanation:

Perimeter = 2L + 2W = 24

L+W = 12

(x+3)+(x/2) = 12

2x+6 +x = 24

x = 6 cm

L = x+3 = 9 cm

Answer:

242 inches²

Step-by-step explanation:

area = (1/2) · (p + q) · h (trapezoid formula)

(1/2)(13+24)(4)= 74

area= bh (rectangle)

(24)(7)= 168

168+74= 242

Answer:

h = 26cm

Step-by-step explanation:

V = (l w h)/3

so the volume of the first one is

20*12*13 /3= 1040

1040 = 12*10*h/3

3120 = 120h

h = 26

The answer is C. 23 cm

Answer:

First question: Choice A

second question:Choice D

Third question: Choice c

Fourth question: Choise b

5th Question: choice b

Let's work backwards.

The answer will be in the form (x+a)^2 for any real number a

Now the expansion will be x^2+2ax+a^2.

We can see just from this that 2a=5/4

a=5/8

The result binomial should be x+5/8

Resulting binomial squared expansion should be x^2+5/4x+25/64

The term we need to add will be 25/64

Answer:

No, David's answer does not seem reasonable.

Let x= original purchase amount

25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.

If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.

Step-by-step explanation:

Answer

0.75 or 3/4 is the answer (degree)

I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them

Answer:

f(x)=x-2

f(2)=2-2=0

f(3)=3-2=1

you only have attach the number to x

Answers:

====================================================

Explanation:

The first column is the list of x values we plug into the function. The second column describes what happens to those x inputs. Namely, we subtract off 2. In the first row, it shows 0-2 after replacing x with 0. This leads to the result of -2 since 0-2 = -2.

In the second row, we have the input x = 2 turn x-2 into 2-2 = 0. So that's why 0 goes in the blank for the second row.

In the third row, we have x-2 = 3-2 = 1. So we'll have 3-2 go in the first blank of row 3, and the value 1 go in the second blank of this same row.

Answer:

123 km/h

Step-by-step explanation:

the formula for the unit rate would be 82/40

82 divided by 40 is 2.05km/m

Then you have to convert 2.05 km/m to km/h

multiply 2.05 times 60 and your answer is 123 km/h

Answer: 123 km/h

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90

At a speed of 48 miles per hour, it would take 13 hours.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours.

Distance is constant.

And we know the formula:

Distance = speed x time

              = 52 x 12

              = 624 miles

Now to find the time:

Now for speed = 48 miles per hour

time,

t = distance / speed

 = 624/48

 = 13 hours

Therefore, 13 hours would it take at a speed of 48 miles per hour.

To learn more about the speed;

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Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Sampling with replacement:

I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]

We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so [tex]N = 200[/tex]

Sample of 4, so [tex]n = 4[/tex]

50 are black, so [tex]k = 50[/tex]

We want P(X = 2).

[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Answer:

Step-by-step explanation:

%/100=1+2(.25)+3(.05)+5(.01)

%/100=1.7

170%

Answer:

24

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. -13

2. 36

3. -2

4. -.5

5. -6x

6. -216cm

Answer:

No it does not form a triangle.

Step-by-step explanation:

If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

Answer:

19,2 l

Step-by-step explanation:

It's given that the area = 96 [tex]m^{2}[/tex]

// make a proportion

1 liters - 5 [tex]m^{2}[/tex]

x liters - 96 [tex]m^{2}[/tex]

x = 96/5 = 19,2 (l)

Answer:

not: f(x) domain: x ≤ -2

f^-1(x) range: y ≤ -2

Step-by-step explanation:

The possible domain restriction for f(x) and its corresponding impact on f'(x) is f(x) domain: x < 1, f'(x) domain: x < 1.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The graph of function

Now,

Looking at the graph, we can see that the function and its inverse are reflections of each other across the line y = x. This means that the domain of the inverse function corresponds to the range of the original function, and vice versa.

From the graph, we can see that the original function f(x) has a vertical asymptote at x = 1. This means that the function is undefined at x = 1.

Therefore, a possible domain restriction for f(x) is x < 1, which would exclude x = 1 from the domain. The corresponding impact on f'(x) would be that f'(x) would also be undefined at x = 1.

So, the answer that pairs a possible domain restriction for f(x) and its corresponding impact on f'(x) is:

f(x) domain: x < 1

f'(x) domain: x < 1

This is because the domain of f(x) is restricted to exclude x = 1, and the corresponding impact on f'(x) is that it is also undefined at x = 1.

Therefore, by the graphed function the answer will be f(x) domain: x < 1, f'(x) domain: x < 1.

Learn more about finding the graphed function here:

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The percent error of Jake's estimate is 16.6 % when he found 10 were actually defective out of 12 batteries.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Mili obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

Jake calculates that 12 batteries will be faulty during the month given in the question.

To determine the percent error which is the percentage of the difference between the accepted value and the experimental value.

As per the given condition, the required solution would be as:

⇒ [(12  - 10)/12] × 100

= [(2/12)] × 100

= [1/6] × 100

= 0.166× 100

= 16.6 %

Thus, the percent error of Jake's estimate is 16.6 %.

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Answer:

HOPE IT HELPS THANK ME LATER.

Answer:

m=5 and p=4

Step-by-step explanation: