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Geometry A
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Answer 1

Answer

Step-by-step explanation:


Related Questions

Show that (3x + 5)(x - 1)-3 = 3x² + 2x - 8​

Answers

The answer is 0 because your subtracting all of the number added

Answer:

[tex]\tt \left(3x+5\right)\left(x-1\right)-3[/tex]

Distribute:-

[tex]\tt 3x^2+2x-5-3[/tex]

[tex]\tt -5-3=-8[/tex]

[tex]\tt 3x^2+2x-8[/tex]

Hope this help you!

The value of y varies exponentially with respect to x and the 1-unit growth factor is 1.7. Which of the following is the best explanation for the meaning of this growth factor?
Whenever x changes by 1, the value of y becomes 1.7 units larger than its previous value.
Whenever x changes by 1, the value of y becomes 11.7 times as large as its previous value.
Whenever x changes by 1.7, the value of y doubles its previous value.
Whenever x changes by 1.7, the value of y becomes 1 unit larger than its previous value.
Whenever x changes by 1, the value of y becomes 1.7 times as large as its previous value

Answers

We can say that whenever x changes by 1, the value of y becomes 1.7 times as large as its previous value.

Given that,

With respect to x, the value of y varies exponentially, and the 1-unit growth factor is 1.7.

We have to find which of the following best describes the significance of this growth factor.

We know that,

The required expression for y with respect to x is

y=(1.7)ˣ------>equation(1)

1.7=1- unit growth factor.

When ever x changes by 1.

x=x-1----->equation(2)

Putting equation (2) in (1)

y'=1.7ˣ⁺¹

y'=1.7ˣ×1.7----->equation(3)

Here [ y is new value after increase]

Taking ratio of (3) and (1)

y'/y= (1.7)ˣ×(1.7)/(1.7)ˣ

y'=(1.7)y

Therefore, We can say that whenever x changes by 1, the value of y becomes 1.7 times as large as its previous value.

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Consider matrix A
135
3 5
A =
2
8 -1 3
What matrix results from -8*4?
A?

Answers

Answer:

[tex]\begin{pmatrix}24&-40&-16\\ -64&8&-24\end{pmatrix}[/tex]

Step-by-step explanation:

Each element of the matrix is multiplied by -8

Need Urgent help please. Let y = f(x) be a cubic polynomial with leading coefficient a = 2 and f(-2) = f(1) = f(2) = 0. find the factored form of f.

Answers

Answer:

-2

Step-by-step explanation:


8283’a

A line passes through (9,-1) the point and has a slope of 2/3.

Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 2/3 x - 7

Step-by-step explanation:

y = mx + b

y = 2/3 x + b

-1 = 2/3 × 9 + b

-1 = 6 + b

b = -7

y = 2/3 x - 7

Answer:

y = 2x-17

Step-by-step explanation:

We have a point and a slope, we can write the equation in point slope form and then convert to slope intercept form

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y-1 = 2(x-9)

Distribute

y-1=2x-18

Add 1 to each side

y-1+1 = 2x-18+1

y = 2x-17

This is slope intercept form

Step-by-step explanation:

Research Study: We want to figure out what characteristics of boys are most attractive to high-school girls. High-school girls were randomly assigned three groups to hear about a guy with trendy clothes, a nice car, or a confident attitude. There were 9 girls in each group. They gave ratings on a scale from 1 to 10, with 1 being "not interested" and 10 being "very interested."
Question: Is there a significant difference between the attractiveness ratings given by the three groups of girls?
What is the factor?
What are the levels of the factor?
Step 1: State Hypotheses
Null:
Research:
Step 2: Determine Comparison Distribution
What is the distribution shape and degrees of freedom for the comparison distribution?
Step 3: Set the Criteria for a Decision
Alpha = .05
dfB =
dfW=
Critical value:
Is the rejection region placed in the upper or lower tail? How do you know?
Step 3: Compute the Test Statistic
Trendy Clothes
Nice Car
Confident Attitude
8
6
10
6
7
9
9
8
10
6
6
10
8
4
8
6
5
9
7
5
10
6
6
9
6
8
8
Step 5: Make a Decision
Reject/Fail to Reject the null?
What does this mean (be sure to talk about significance)?

Answers

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance.

The null hypothesis is accepted.

There is no significant difference between the attractiveness ratings given by the three groups of girls.

Surveyed two random samples of 390 men and 360 women who were tested.

first sample percentage,

p1 = 360 ÷ 390 = 0.9230

second sample percentage,

p2 = 47 ÷ 52 = 0.9030

There is no change, according to the null hypothesis the percentage of males who have positive tests is significantly from the percentage of women who have positive tests.

Different Hypotheses:

There is a discrepancy in the percentage of schoolgirls who heard about a male with stylish clothes, a great automobile, or a confident demeanor across the three groups that were randomly allocated.

Z = (p1 - p2) ÷ √(PQ((1 ÷ n1) + (1 ÷ n2)))

where

p = (n1p1 + n2p2) ÷ n1 + n2

p = 0.920

Z = (0.9230 - 0.9030) ÷ √(0.9230((1 ÷ 390) + (1 ÷ 52)))

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

The null hypothesis is accepted.

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what is the probability you get this question right if you pick a random answer? a.20% b. 80% c. 25% d. 20% e. 50%

Answers

Answer:  80%

Step-by-step explanation:

Could someone help me with this

Answers

Answer:

x >= -3 (third choice)

Step-by-step explanation:

The line is bold and not dotted, meaning that it includes the solution. (or equal to...) This way, we can cross out y>-3 and x>-3.

The line stays on x= -3, and goes right. Meaning that all of the solutions include or are larger than -3.

The answer is x >= -3

Which fraction equals a repeating decimal?
A: 18/81
B: 11/88
C: 1/5
D: 5/8

Answers

Answer:

A: 18/81

Step-by-step explanation:

A: 18/81 = 0.222222222.....

B: 11/88 = 0.125

C: 1/5 = 0.2

D 5/8 = 0.625

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Convert to standard form:


[tex]y = \frac{5}{12}x - \frac{1}{2}[/tex]

Show work please

Answers

Answer: x=12y+6/5

Let's solve for x.

y=5/12x − 1/2

Step 1: Flip the equation.

5/12x + −1/2 =y

Step 2: Add 1/2 to both sides.

5/12x + −1/2 + 1/2 = y + 1/2

5/12x = y + 1/2

Step 3: Divide both sides by 5/12.

5/12x 5/12 = y + 1/2/5/12

x=12y + 6/5

If f(x) = 3x³ + 5x² - 4, then what is the remainder when f(x) is divided by
x-1?

Answers

After using a process called synthetic division the answer is shown below resulting in remainder of (4) OR remainder of (4/x-1) depending on your teacher

Jeriel has a smart phone data plan that costs $45 per month that includes 6 GB of data, but will charge an extra $15 per GB over the included amount. How much would Jeriel have to pay in a month where he used 2 GB over the limit? How much would Jeriel have to pay in a month where he used went over by a GB?

Answers

Jerial would be responsible for paying $295 if she used more than the allotted 2 GB in a given month.

What is word problem?

Word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

Using linear equations,

Data plans cost $45 per month.

Additional fee equals $15 per GB

Jerial would be responsible for paying the following in a month if she used 2 GB more than allowed: = $45 + $15(5) = $45 + $ 250 = $ 295

The monthly payment that Jerial will be required to make as her usage exceeded x GB is:

= $45 + $15 (x)

= $45 + $15x

Hence, Jeriel will pay $45 + $15x when he used over a GB in a month.

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n a study of the decay theory of memory, three different groups of subjects memorized a list of nonsense syllables and were then tested for their memory of those syllables at different delays. group 1was tested for memory after a delay of one hour. group 2 was tested after a delay of two hours. group 3 was tested after three hours. which statistical test should be used to test whether length of delay affects memory?

Answers

The statistical test that will test the above given scenario is an exponential function. Therefore, an exponential function can be helpful to test whether length of delay affects memory or not.

Given,  three different groups of subjects memorized a list of nonsense syllables and were then tested for their memory of those syllables at different delays.

Group 1 was tested for memory after a delay of one hour.

Group 2 was tested after a delay of two hours.

Group 3 was tested after three hours.

we have to find the statistical test that is used to test whether length of delay affects memory.

So, the statistical test that will test the above given scenario is an exponential function. Therefore, an exponential function can be helpful to test whether length of delay affects memory or not.

Hence, the statistical test that will test the above given scenario is an exponential function. Therefore, an exponential function can be helpful to test whether length of delay affects memory or not.

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at a resturant, diners are given the choice of 4 appetizers, 5 entrees, 3 deserts, and 2 wines. how many different dinners can be assembles?

Answers

Total number of ways in which dinner can be assembled will be 120.

What is restaurant?

A restaurant is a place of business where customers can order and receive food and drinks. Meals are typically prepared and consumed on the premises, but many eateries also provide take-out and delivery options.

A commercial space where customers can buy food or drinks.

There are 4 different types of appetizers, so there are 4 ways to choose one of them, which comes out to 4C1 = 4.

Similarly, there are 3 ways to choose desserts and 5 ways to choose an entrees.

2 methods for selecting wines are also included.

As a result, there are

5 x 4 x 3 x 2 = 120 different ways to assemble dinner in total.

Hence, total number of ways in which dinner can be assembled will be 120.

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if the speed of the river is s, write an expression for the time it takes to travel 5 kilometers upstream and an expression for the time to travel 10 kilometers downstream

Answers

The time taken to travel upstream will be t = 5/(s - r) and the time taken to travel downstream will be equal to t = 10/(s + r).

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

Speed of boat in still water = s

Distance to travel upstream = 5 km and,

Distance to travel downstream = 10 km

Then, the time taken to travel upstream,

t = d/s

t = 5/(s - r)

And, the time is taken to travel downstream.

t = d/s

t = 10/(s + r)

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4) Which function shows a decay rate of 5%?
A) f(x) = 100(-5)
B) f(x) = 105(0.05)
C) f(x) = 100(0.95)
D) f(x) = 100(1.05
E) f(x) = 100(5) ​

Answers

function is a relationship between inputs where each input is related to exactly one output.

The function with a decay rate of 5% is

f(x) = 100(0.95)

This is with a decay rate of 5%

Option C is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Decay rate = 5%

5% = 5/100 = 0.05

The total rate = 100%

100% = 100/100 = 1

The rate to multiply with the function.

= 1 - 0.05

= 0.95

A)

f(x) = 100(-5)

This is not a decay rate of 5%

B)

f(x) = 105(0.05)

This is with a decay rate of 95%.

C)

f(x) = 100(0.95)

This is with a decay rate of 5%

D)

f(x) = 100(1.05)

This is not a decay rate function.

E)

f(x) = 100(5) ​

This is not a decay rate function.

Thus,

The function with a decay rate of 5% is

f(x) = 100(0.95)

This is with a decay rate of 5%

Option C is the correct answer.

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golden rectangles are rectangles for which the ratio of the width w to the length l is equal to the ratio of l to l 1 w. the ratio of the length to the width for these rectangles is called the golden ratio. find the value of the golden ratio using a rectangle with a width of 1 unit

Answers

golden rectangles are rectangles for which the ratio of the width w to the length l is equal to the ratio of l to l 1 w. The value of this golden ratio = 1/2 (1 + √5) = 1.618

Ratio:

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion.

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the screenshot is the work that i need help with

Answers

Answer:

Step-by-step explanation:

Please answer number 2 I think I answer is A but please explain how you got your answer.

Answers

Answer is A. 60 laps

Step by step

She needs $80
She makes .75 per length she swims
She gets a one time $35 for the swim

We can use y intercept formula y=mx+b

$80 is your output or y
.75 is your rate
x is your unknown
b is your one time number that doesn’t change, on a graph it would be the y intercept or starting point

$80 = .75x + 35
Subtract 35 from both sides to isolate x
80 - 35 = .75x +35 -35

45 = .75x

Divide both sides by .75 to solve for x

45/.75 = .75/.75 x

60 = x

the population of a town increased from 3600 in 2005 to 5650 in 2011. find the absolute and relative (percent) increase.

Answers

Absolute increase in population will be 2050

And percentage increase will be 56.94 %

We have given population in 2005 is 3600

And population in 2011 is 5650

So absolute increase in population = 5650-3600 = 2050

We have to find the percentage increase in population

So relative percentage increase in population will be 2050/3600 *100 = 56.94  %

So population will increase by 60 %

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A suit is on sale for $475, which is 76% of the regular price.
What is the regular price?

Answers

Answer:

The regular price of the suit was $625.

Step-by-step explanation:

First, convert 76% into a decimal by moving the decimal place over twice to get 0.76. Then, set up this equation:

475 ÷ 0.76 = 625

Now, we can check if this is right by setting up this equation:

0.76 x 625 = 475.

Yep! It checks out! Our final answer is $625.

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a stock had returns of 10.00%%.3.00% and -7.00% over the past 3 years.what is the mean ofthe stock's returns over the past 3 years minus the sample standard deviation of the stock'sreturns from the past 3 years?

Answers

The mean of the stock's returns over the past 3 years minus the sample standard deviation of the stock's returns from the past 3 years is -6.54

What is the standard deviation?

A standard deviation is a measurement of the data's dispersion from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

Standard deviation It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

Mean :

Mean = [10+3 + (-7) ] / 3 = 2

sample standard deviation :

subtract the mean from each data element.

10- 2 = 8

3-2 = 1

-7 - 2 = -9

Square those numbers.

8² = 64

1² = 1

(-9)² = 81

Add those

64+1+81 = 146

Divide by (number of elements -1 = 3 -1 = 2)

146/2 = 73

Take square root

8.54

So, the sample standard deviation  = 8.54

The mean of the stock's returns over the past 3 years minus the sample standard deviation of the stock's returns from the past 3 years

=  2 - 8.54

= -6.54

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I NEED HELP!! IM RUNNING OUT OF TIME!!!

Domain and range of G?

G = {( -8, 7 ), ( -9, 0 ), ( 3, 7 )}


Write answers as set notation

Answers

For the given set G = {(-8, 7), (-9, 0), (3, 7)}, domain is {-8, -9, 3} and range is {7, 0, 7}.

What is domain?

Domain is the values of all inputs, In a function f(x), the set of all values of x is called domain

The given set is,

G = {( -8, 7 ), ( -9, 0 ), ( 3, 7 )}

Since, domain is the set of all values of x,

And range is the set of all values of y

In the given set,

Domain = {-8, -9, 3}

Range = {7, 0, 7}

The domain is {-8, -9, 3} and range is {7, 0, 7}.

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A function has a constant halving time. What type of function does this represent?.

Answers

An exponential decay function is one that has a constant time of halving.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

Here,

The function which has a constant halving time is in the following form,

A(t)=A₀(¹/²)^(t/h)

Where:  A₀ is the initial amount

             h   is the half life time or the halving time.

             t    is the time

             A(t) the amount that remains at time t

The previous function represents an Exponential decay function.

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a two-factor anova is conducted and the data are plotted. the chart shows two parallel lines separated by a distance of 9 points. the lines represent factor a and the x axis of the chart represents the levels of factor b. how should you interpret these results?

Answers

The correct option is, there is a main effect for Factor A but there is no interaction.

What is two factor anova?

The mean of a quantitative The mean of a quantitative variable is estimated using a two-way ANOVA in relation to the levels of two categorical variables.

Two-way analysis of variance is an extension of one-way analysis of variance in statistics that looks at the impact of two different categorical independent variables on a single continuous dependent variable.

The parallel lines indicates no interaction effect.

For the above problem option 'a' is correct.

There is a main effect for Factor A but there is no interaction

Hence, the correct option is, there is a main effect for Factor A but there is no interaction.

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Complete question:

A two-factor ANOVA is conducted and the data are plotted. The chart shows two parallel lines separated by a distance of 9 points. The lines represent Factor A and the x axis of the chart represents the levels of Factor B. How should you interpret these results?

Select one:

a. There is a main effect for Factor A but there is no interaction

b. There is a main effect for Factor A and there is also an interaction effect

c. There is a main effect for Factor B and there is an interaction effect

d. There is no interaction effect and no main effects

Are the ratios 10:5 and 20:10 equivalent? yes or no

Answers

Answer:

yes

Step-by-step explanation:

They are both equal to 2:1 if you simplify.

IHI Insurance have conducted a multiple linear regression analysis to predict the value of the number of annual claims incurred by a motor insurance policyholder (y)based on the age of the policyholder in years (x1) and the value of the car insured in thousands of dollars (x2). The analysis was based on a random sample of 500 policyholders. The ages in the sample ranged from 16 to 70 and the values of the cars in the sample ranged from $1,100 to $52,000. The multiple linear regression equation corresponding to IHI's analysis is: y^i = 13 + (-0.5)x1i + (0.1)x2i.
Select whether the following statements regarding the multiple linear regression equation are true or false:
True False
a) Holding x2 constant, a one year increase in x1 will result in a decrease of 0.5 in the predicted value of Y. b) A 28 year old policyholder with a car worth $20,000 is predicted to make 29 claims. c) Holding x1 constant, a one thousand dollar increase in x2 will result in an increase of 0.1 in the predicted value of Y.

Answers

The statements 1,2,3 are false, true and true respectively.

Given that,

Based on the policyholder's age in years (x1) and the insured car's worth in dollars, IHI Insurance performed a multiple linear regression analysis to forecast the value of the number of yearly claims made by a policyholder for motor insurance (y) (X2). 500 policyholders were chosen at random for the analysis. The sample included people ranging in age from 16 to 70, and the cars ranged in price from $1,100 to $52,000. I = 13 + (-0.5)X1i + (0.1)X2i is the multiple linear regression equation that corresponds to IHI's study.

a) y^i = 13 + (-0.5)x1i + (0.1)x2i

Here X 1i = 26 , X zi = 20

y^i = 13 + (-0.5)x1i + (0.1)x2i

y^i = 13 + (-0.5)(26) + (0.1)(20)

y^i = 2 it doesnt make 28 so it is false.

b) As the coefficient of X 1i  is negative, it will decrease by 0.5

So, it is true.

c) As the coefficient of X 2i  is positive, it will increase by 0.1

So, it is true.

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How do I solve this equation 1 3/4÷3

Answers

Answer:

1 3/4 * 3

we turn 1 3/4 to improper fraction:

7/4

so,

7/4 * 3 = 21/4 or 5 1/4

Step-by-step explanation:

select the most appropriate response. what does it mean when sample results are not statistically significant?

Answers

The sample results would be somewhat expected if the null hypothesis were true.

The correct option is (b).

Given,

In the question:

The complete question is this:

Select the most appropriate response.

What does it mean when sample results are not statistically significant?

The null hypothesis is true The sample results would be somewhat expected if the null hypothesis were true.The null hypothesis is wrongThe sample results would be unexpected if the null hypothesis were true.

The question is based on MCQ's

Now, According to the question:

What does it mean when sample results are not statistically significant?

It means  The sample results would be somewhat expected if the null hypothesis were true.

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a radioactive substance decays exponentially. a scientist begins with 110 milligrams of a radioactive substance. after 22 hours, 55 mg of the substance remains. how many milligrams will remain after 32 hours?

Answers

A radioactive substance will have a decay of A ≈ 31.1936 mg after 32 hours.

Radioactive decay (additionally referred to as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration) is the manner with the aid of using which an volatile atomic nucleus loses electricity with the aid of using radiation. A fabric containing volatile nuclei is taken into consideration radioactive.

Every atom seeks to be as strong as possible. In the case of radioactive decay, instability happens whilst there's an imbalance withinside the quantity of protons and neutrons withinside the atomic nucleus. Basically, there's an excessive amount of electricity withinside the nucleus to preserve all of the nucleons together.

Initial Radioactive substance, A₂ = 110 mg Remains substance, A = 55 mg time, t = 22 hours

Here, radioactive substance decay. exponentially.

[tex]a=a_{0}e^{at} \\\\55=110*e^{22k} \\\\\frac{55}{110} = e^{22k} \\\\ \\e^{22k} =\frac{1}{2}[/tex]

Taking lo both side, we get ln (1/2) = lne²²K

ln (1/2) = k*22

[tex]k=\frac{ln(1/2)}{22}[/tex]

K = -0.03150669

Substance remains after 32 hours,

t=32 hr

[tex]A=110*e^{( (-0.03150669))*32} \\A=110*e^{(-1.2602676)} \\\\[/tex]

A = 110x 0.283578131

A = 31.19359441

A ≈ 31.1936 mg

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a client diagnosed with colorectal cancer reports constipation to the nurse. which teaching will the nurse provide to help the client identify sign(s) or symptom(s) of constipation? select all that apply. nine people sit down for dinner where there are three choices of meals. three people order the beef meal, three order the chicken meal, and three order the fish meal. the waiter serves the nine meals in random order. find the number of ways in which the waiter could serve the meal types to the n Each country had its own goals in negotiating the Treaty of Versailles. What was the goal of the British prime minister,David Lloyd George?He advocated a moderate approach and wanted Germany's colonies.He wanted to punish Germany for starting the war.He shared much of Wilson's vision of "peace without victory."He did not want to negotiate; he wanted to keep fighting.Mark this and returnSave and ExitSubmit an electrician is running wire from the electric box on a house to a utility pole 75 feet away, the angle of elevation to the connection on the pole is . how much wire does the electrician need? Mia is traveling from her house to her sisters home. She took the bus to the car rental lot and is now driving the rest of the way at a constant rate of speed. What does the -intercept represent in this problem?the distance (mi) that Mia traveled on the bus to the car rental before she started driving the carthe distance (mi) that Mia traveled from the car rental lot to her sister's homethe amount of time (hr) elapsed for every mile the car travels from the car rental lotthe distance (mi) the car travels from the car rental lot for every 1 hour elapsed T/F. According to the general adaptation syndrome, during the resistance stage, a person typically feels like a heavy burden has been removed from his or her mind. (3.76x 10-8 )-(2.94 x 10-8) Write your answer in scientific notation John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.Use the on-screen keyboard to type the inequality that represents this situation in the box below. How does the salary for legislators in texas compare with that paid to legislators in the other nine most populous states in the united states?. a rope of mass m and length ` hangs from the ceiling. (i) what is the wave speed on the rope a distance y above the lower end? which interventions are appropriate for a client with increased intracranial pressure (icp)? select all that apply What explanation of inheritance suggests that hereditary traits are determined by discrete units that are transmitted from one generation to the next?. please help me solve this problem I will give 20 points Sasha is browsing Stack Overflow. Which BEST describes why she might be doing this? A. she is looking for a manual for her Dell computer B. she needs directions for building a computer from scratch C. she has questions about computer issues D. she wants to find job openings in the technology field transcending from the ordinary to the spiritual realm gives shamans the ability to do many things such as locate lost people or animals or heal the sick by identifying the spiritual cause of illness is the job of a . nlrs differ from tlrs by . . . choose one:a. being present on the pathogen rather than the host cell.b. detecting mamps in the cytoplasm rather than external to the cell.c. triggering only adaptive immunity rather than innate Type your solutions into this document and be sure to show all steps for arriving at your solution. Just giving a final number may not receive full credit. PROBLEM 1 A 125-page document is being printed by five printers. Each page will be printed exactly once. (a) Suppose that there are no restrictions on how many pages a printer can print. How many ways are there for the 125 pages to be assigned to the five printers? One possible combination: printer A prints out pages 2-50, printer B prints out pages 1 and 51-60, printer a box contains 3 donuts cake, 4 jelly cake and 5 chocolate cake. if a person selects one cake at random, find the probability that it is either a donut or a chocolate cake At as sale, suits were sold for $72 each. This price was 45% of a suits original price. How much did a suit originally cost? 6. as a speaker, how can you improve your ability to stimulate thinking when you ask a question? a. ask a direct question. b. ask an open-ended question. c. determine who the key stakeholder is and talk separately. d. do not ask questions.