HELP MEEEEEE PLEASEEEEE

HELP MEEEEEE PLEASEEEEE

Answers

Answer 1

Answer:

1000-400=600km

good luck i hope it helped, its all about reading the graph!


Related Questions

Gretta has a savings account with $6,500 in it that earns 9.5% simple interest per year. How much interest, to the nearest cent, will Gretta earn in 1 year? Give your answer in dollars.​

Answers

Answer: $617.50

Step-by-step explanation:

9.5% of 6500 = 9.5*6500/100=9.5*65=617.5

So the interest is $617.5 or $617.50

Hope this helped. If you have any questions or clarifications please ask.

Thanks and please rate!

Answer:

Gretta will earn $617.50 interest

A = $7,117.50

Equation:

A = P(1 + rt)

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9.5%/100 = 0.095 per year.

Solving our equation:

A = 6500(1 + (0.095 × 1)) = 7117.5

A = $7,117.50

The total amount accrued, principal plus interest, from simple interest on a principal of $6,500.00 at a rate of 9.5% per year for 1 years is $7,117.50.

A collector of hand-woven rugs has an oval rug that is 42 years old and a circular rug that is 14 years old. How many years ago was the oval rug five times as old as the circular rug was then?

i need an equation plsss help.

Answers

Answer:

7

Step-by-step explanation:

McKenzie found a correlation coefficient on a set data to be -0.20 which term describes the correlation ?

weak positive
strong negative
strong positive
weak negative

Answers

Weak positive term describes the correlation  .

What does a weak positive indicate?

Negative correlation does not necessarily indicate a weak correlation between two variables. Although both variables have a tendency to rise in response to one another, a weak positive correlation suggests that the relationship between the two is not very strong.

A weak positive graph is what?

Dots are used to indicate values for various numerical variables in a scatter plot, sometimes referred to as a scatter graph or scatter chart. One can see that there is a slight increase in the value of Y as the value of X increases, demonstrating a weak positive correlation.

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PLEASE HELP ASAP!! PLEAZE 20 PIINTS

Answers

(y-2)^2=20

a^2-2ab+b^2=(a-b)^2

kay scored 15 on quiz 1 which had a mean of 12 and standard deviation 2.4. she scored 14 on the quiz 2 which had a mean of 11 and standard deviation 2.0. in comparison to her classmates, did kay do better on quiz 1 or quiz 2?

Answers

In comparison to her classmates, Kay did better in quiz 2.

According to the question,

Kay scored 15 on Quiz 1 which had a mean of 12 and a standard deviation of 2.4

= Z-score = 15 - 12/ 2.4 = 1.25

She scored 14 on Quiz 2 which had a mean of 11 and a standard deviation of 2

= Z-score = 14 - 11/ 2 = 1.5

As we can see the Z-score of Quiz 2 is more than the Z-score of Quiz 1 hence Kay did better in Quiz 2.

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evelyn is trying to pick out an outfit for the first day of school. she can choose from 2 pairs of pants, 2 t-shirts, and 8 pair of shoes. how many different outfits can evelyn make?

Answers

There are 32 outfits that Evelyn can make.

This is basic combination.

Evelyn has 2 shirts each shirt can be worn with each of the 2 pair of pants.

So, there are 4 ways to wear them.

she  also has 8 pairs of shoes and each pair can be worn with each of the 4 outfits.

total number of outfits that she can make = 8*4

                                                                      =32 outfits

Evelyn can make 32 different outfits.

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What is a confidence interval? Choose the best description.
A range of probabilities, constructed with a sample, that describes where a population parameter will occur.
A range of values, created using a sample, within a population parameter that has a certain probability of occurring.
A range of values used to estimate where the sample statistic is likely to occur

Answers

Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.

Reason: E.g. P(a<x>b) = 0.95

confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.

A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.

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

what is the linear equation

Answers

The linear equation of the given points (2, -2)  and (0, -1) is y = (-1/2)x - 1

The first point = (2, -2)

The second point = (0, -1)

The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

The slope of the line m = (-1 - -2) / (0 - 2)

= -1+2 / -2

= 1 / -2

= - 1/2

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

The point slope form  is

[tex]y-y_1=m(x-x_1)[/tex]

Substitute the values in the equation

y - -2 = (-1/2) (x-2)

y + 2 = -1/2 x + 1

y = (-1/2)x + 1 -2

y = (-1/2)x - 1

Hence, the linear equation of the given points (2, -2)  and (0, -1) is y = (-1/2)x - 1

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what is the equation of the line perpendicular to y=2x+5

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.

So solve for b: using y = mx + b

2 = 1/2(-4) + b

2 = -2 + b

4 = b

Put it all together

y = 1/2x + 4

the dimensions of col a and nul a add up to the number of columns in a.
a. true
b. false

Answers

Using Rank theorem , the dimensions of col A and Null A add up to the number of colmns in A. It is true statement.

The rank of matrix A denoted as rank(A) is the dimension of the column space Col(A).

The nullity of matrix A written as nullity(A) is the dimension of the null space Nul(A)

Rank Theorem:

If A is a matrix with n columns, then

Rank (A) + nullity (A) = n

In other words we can say that

dim (Col(A) ) in column space + dim (Nul(A)) in empty space = total number of columns in A

The rank theorem is really important theorem.

It is gives a strong relationship between the Null space ( all possible vector x such that Ax = 0) and the column space (the set of vectors b matching Ax=b) explain the two main objectives. The more freedom we have for choosing x, the less freedom we have for choosing b, and vice versa.

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Over the set of real numbers, what is the domain of the composite function
G(F(x))?
F(x) = -x-3, G(v) = √y
G(F(x)) = √√-3-x
OA. x>-3
OB. xs-3
C. x2-3
O D. All real numbers

Answers

The domain of the composite function is  - x - 3 ≥ 0 , x ≤ -3 .

The correct answer is (B).

Given,

In the question:

Over the set of real numbers.

F(x) = -x-3, G(v) = √y

G(F(x)) = √√-3-x

To find the domain of the composite function.

Now, According to the question:

Based on the given conditions:

The domain of F(x) = -x -3 is all real numbers.

The domain of

G(v) = √y is y ≥ 0

{The relationship of the domain of a composite function and the original functions}

So, - x - 3 ≥ 0 , x ≤ -3

Hence,  The domain of the composite function is  - x - 3 ≥ 0 , x ≤ -3 .

The correct answer is (B).

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y=-.06(5.5-1)(5.5-10)​

Answers

Answer:

I don't know if its right.

Ans:1.215

Of the 250 sheep in a flock, 34% are white. What is the total number of white sheep in the flock?

Answers

34% of 250 = 85
85 total white sheep are in the flock

Water i draining from a conical tank at the rate of 2 m3

/min. The tank i 16 meter high
and the top radiu i 4 meter. How fat i the water level falling when the water’ level
i 12 meter high?

Answers

By using the concept of rate of change, it is obtained that

Water level is falling at the rate of [tex]\frac{2}{9\pi}[/tex] m per minute

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here the concept of rate of change has been used

Let the radius of cone at any point be r m and height be h m

Volume of cone = [tex]\frac{1}{3}\pi\times r^2\times h[/tex]

Now,

By the concept of similarity,

[tex]\frac{r}{h} = \frac{4}{16}\\\\\frac{r}{h} = \frac{1}{4}\\\\r = \frac{1}{4}h[/tex]

Volume of cone (V) =

[tex]\frac{1}{3}\times \pi \times (\frac{1}{4} h)^2\timesh\\\\\frac{1}{48}\times \pi \times h^3\\[/tex]

[tex]\frac{dV}{dt} = \frac{1}{48} \times \pi \times 3h^2\times \frac{dh}{dt}\\\\\frac{dV}{dt} = \frac{1}{16} \times \pi \times h^2\times \frac{dh}{dt}\\\\[/tex]

Now,

[tex]\frac{dV}{dt} = -2,\ h = 12[/tex]

So,

[tex]-2 = \frac{1}{16}\times \pi \times (12)^2 \times \frac{dh}{dt}\\\\\frac{dh}{dt} = -\frac{2 \times 16}{\pi \times 12 \times 12}\\\\\frac{dh}{dt} =- \frac{2}{9\pi}[/tex]

So water level is falling at the rate of [tex]\frac{2}{9\pi}[/tex] m per minute

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Sparx homework
I really need help on how to solve this!

Answers

Answer:

a] 5 dogs

b] 16 dogs

Step-by-step explanation:

        The minimum number of dogs that could have a mass of more than 26 kg is 5. This is because dogs with a mass of 30 ≤ x ≤ 40 have a frequency of 5. The dogs in the 20 ≤ x ≤ 30 range could be more than 26 kg, but they could also be less than 26 kg, so these are not included in the minimum.

        The maximum number of dogs that could have a mass of 26 kg is 16 because both dogs in the 30 ≤ x ≤ 40 range (5) and 20 ≤ x ≤ 30 range (11) could weigh more than 26 kg. 11 + 5 = 16, giving us our answer for the maximum.

Please someone help me with the answers I need help

Answers

Answer:

x+6, y+2

Step-by-step explanation:

x goes left and right, y goes up and down. the little ' means that is the line after translation, so w and y are the originals, and w' and y' are after the translation. Add 6 to x(left and right) (negative sign means left and positive sign or no sign means right), so go 6 to the right, and add 2 to y, so go up two (negative sign means to go down, and positive or no sign means to go up)

Carley cycled 72 miles in 3 hours. His cousin Catie drove 132
miles in 2 hours. Assume both cousins were driving at constant
speeds. How much faster was the faster person traveling?

Answers

Answer:

Speed at which Carley was cycling at

= 72 miles ÷ 3 hours

= 24 miles/hour

Speed at which Catie was driving at

= 132 miles ÷ 2 hours

= 66 miles/hour

66 miles/hour - 24 miles/hour = 42 miles/hour

∴ The faster person, Catie, was travelling 42 miles/hour faster than Carley, the slower person.

Can someone please help

Answers

Answer:

The measure of angle 1=52

The measure of angle 2=58

The measure of angle 3=31

Step-by-step explanation:

The measure of angle 1 is 52 because the angle out of the triangle is 128. The measure of angle 1 plus 128 equals 180. Using this info you could do 180-128, which equals 52. The measure of angle 1 equals 52.

The measure of angle 2 is 58 because I already know 2 of the values of the triangle, in which Angle 2 is also in. One triangle adds up to 180. The values of the other 2 angles are 52 and 70. Using this information I can use the equation 52+70+x=180, which you then simplify to 122+x=180. X equals 58. The measure of angle 2 equals 58

The measure of angle 3 is 31 because the angle out of the triangle is 70. The missing angle plus 70 equals 180. Using this info I could do 180-70. The missing angle is 110. There is already one given angle, and I have figured out the other, using this info I can now finally find the measure of angle 3. I can find this out by using the equation 110+39+x=180. You would then simplify the equation to 149+x=180. X equals 31. The measure of angle 3 equals 31.

hey not a question but how do you ask questions with a picture on here​

Answers

Answer:

the one that looks like a paper clip

Step-by-step explanation:

how many thousandths are in one hundredth

Answers

Answer:

ten thousands

Step-by-step explanation:

Ten thousandths are in one hundredth.

What is fraction?

Fractions represent parts of a whole. In mathematics, fractions are represented as numbers that define part of a whole. A fraction can be a part or subset of any quantity of a whole, and a whole can be any number, value, or thing.

All fractions consist of a numerator and a denominator, separated by horizontal bars called fraction bars.

The denominator indicates the number of parts into which the whole is divided. Placed at the bottom of the break below the break bar. The

counter indicates how many sections of the fraction are displayed or selected. Placed at the top of the break above the break bar.

As we know ,

one hundredth is  1/100

one thosandth is 1/1000

But now , 10 × 1/1000 = 1/100

This means that there are 10 thousandths in one hundredth.

Hence, ten thousandths are in one hundredth.

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the points (7, 18) and (3, 14) fall on a particular line. What is its equation in slope-intercept form?

Answers

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{14}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{14}-\stackrel{y1}{18}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{7}}} \implies \cfrac{ -4 }{ -4 } \implies 1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{18}=\stackrel{m}{ 1}(x-\stackrel{x_1}{7}) \\\\\\ y-18=x-7\implies {\Large \begin{array}{llll} y=x+11 \end{array}}[/tex]

helpp this us due by 12 its 11:49 rnn

Answers

The values of the segments formed by the median lines in the triangles are;

1. KG = 22

2. [tex]\overline{JE}[/tex] = 19.5

3. FL = 11

9) CI = 4

10) XK = 4

14) x = 3

What is a median of a triangle?

A median line of a triangle is a line drawn from a vertex of the triangle to the the middle of the of the opposite side, thereby bisecting the opposite side into two segments of the same length.

The median lines are; [tex]\overline{JE}[/tex], [tex]\overline{KF}[/tex], and [tex]\overline{LD}[/tex]

1. The length of [tex]\overline{GF}[/tex] = 11

The properties of a median line indicates;

[tex]\overline{GF}[/tex] = (1/3)·[tex]\overline{KF}[/tex]

Therefore;

11 = (1/3)·[tex]\overline{KF}[/tex]

[tex]\overline{KF}[/tex] = 3 × 11 = 33

[tex]\overline{KG}[/tex] = (2/3)×[tex]\overline{KF}[/tex]

Therefore;

[tex]\overline{KG}[/tex] = (2/3) × 33 = 22

[tex]\overline{KG}[/tex] = 22

2. [tex]\overline{JG}[/tex] = 13

[tex]\overline{JG}[/tex] = (2/3) × The median line [tex]\overline{JE}[/tex]

Therefore;

[tex]\overline{JG}[/tex] = (2/3) × [tex]\overline{JE}[/tex]

[tex]\overline{JE}[/tex] = (3/2) × [tex]\overline{JG}[/tex]

[tex]\overline{JE}[/tex] = (3/2) × 13 = 19.5

3. JL = 22

[tex]\overline{KF}[/tex] is a median line, therefore, the point F is the midpoint JL

JF = FL

JL = JF + FL by segment addition postulate

JL = FL + FL = 2·FL (substitution property of equality)

JL = 22 = 2·FL

FL = 22 ÷ 2 = 11

9) CS = 6

Where CS is a median line of the triangle ΔABC, then;

CI = (2/3) × CS

CI = (2/3) × 6 = 4

10) UX = 8

Where UX is a median of the triangle ΔTUX, we get;

XK = (1/3) × UK

UX = (2/3) × UK

UK = (3/2) × UX = (3/2) × 8 = 12

XK = (1/3) × 12 = 4XK = 4

14) KL = 7·x + 1

LE = 2·x + 5

The properties of median line indicates that, KL = (2/3)·KE

LE = (1/3)·KE

Therefore;

KL = 2 × LE

7·x + 1 = 2 × (2·x + 5) = 4·x + 10

7·x + 1 = 4·x + 10

7·x - 4·x = 10 - 1 = 9

3·x = 9

x = 9 ÷ 3 = 3

x = 3

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Fatima paid for 5 pallets of grass to be delivered. Each pallet of grass cost $129. 95. Fatima paid $76. 20 for delivery. What is the total amount fatima paid?.

Answers

Fatima paid $129.95 for pallet of grass cost and $ 76.20 for delivery. The total amount Fatima paid is $725.95.

Pallet Grass Cost: The quality and type of grass you want will impact the overall cost of sod. Most homeowners pay between $150 and $450 per pallet of sod for their yards or an average of $300. When it comes to square footage, sod costs between $0.35 and $0.85, or an average of $0.60 per square foot.

Given in the question:

Number of Pallets = 5

Cost of each pallet = $129.95

Total amount spend on Pallets

= Number of Pallets × Cost of each pallet

= 5 × $129.95  = $ 649.75

Also given;

Amount spend on Delivery = $76.20

Total Amount Paid by Fatima

= Total amount spend on Pallets + Amount spend on Delivery

=  $649.75 + $76.20

= $ 725.95

Hence Fatima paid a total amount of $725.95.

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Given the equation y=2-(x-3)^2
Find the cordinates of the vertex of the curve it describes
Find the x intercept
Find the y intercept

Answers

Answer:

Y= -7

X= 4.4

Step-by-step explanation:

Y= 2 - ( x-3)^2

When x= 0

Y= 2- ( 0-3)^2

Y will equals -7

When y = 0

(x-3)= √2

X = 4.4

(-8,-4), (-1, -3), and (0, -2).
How do I graph this ?

Answers

Answer:

Refer to photo for drawing

Step-by-step explanation:

1. Draw the x y plane

2. Identify -8, -1, 0 on x plane

3. Identify -4, -3, -2 on y plane

4. Mark the intersection point (-8,-4) with x

5. Mark the intersection point (-1,-3) with x

6. Mark the intersection point (0,-2) with x

7. Draw a straight line through the x mark

Gwen measured a kitchen and made a scale drawing. The scale she used was
11 inches : 5 feet. If a countertop in the kitchen is 22 inches long in the drawing, how long is
the actual counter?

Answers

As per the given ratio, the length of the actual counter is 120 feet.

Ratio:

Basically, the ratio refers an ordered pair of numbers a and b, written a / b where b does not equal 0. And a proportion is an equation in which two ratios are set equal to each other.

Given,

Gwen measured a kitchen and made a scale drawing. The scale she used was 11 inches : 5 feet.

Here we need to find the length of the actual counter if  a countertop in the kitchen is 22 inches long in the drawing.

While looking into the given question, we have identified the following things,

Scale drawing ratio = 11 inches : 5 feet

And the length of the drawing = 22 inches.

When we convert the inches into feet,

Then we get,

=> 11 inches = 11/12 feet.

So the actual length can be calculated as,

=>22 : 11/12 : 5

=> 22 x 12/11 x 5

=> 2 x 12 x 5

=> 120

Therefore, the length of the actual counter is 120 feet.

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Determine if they given ordered pair is a solution to the given system

Answers

Answer:

Step-by-step explanation:To determine if an ordered pair is a solution to a system of two equations, we substitute the values of the variables into each equation. If the ordered pair makes both equations true, it is a solution to the system.

find the exact values of sin 2u, cos 2u, and tan 2u using double-angle formulas.


13.) sin u=3/5, 0 < u < pi/2

15.) tan u= 1/2, pi < u < 3pi/2


Answers

The exact values are sin2u=36/25, cos2u=-3.142 and tan2u=sin2u/cos2u

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

sin u=3/5, 0 < u < pi/2

tan u= 1/2, pi < u < 3pi/2

We need to find sin 2u, cos 2u, and tan 2u

sin2u=2sinucosu

tanu=sinu/cosu

1/2=3/5/cosu

cosu=3/5×2

cosu=6/5

So sin2u=2(3/5)(6/5)

sin2u=36/25

cos2u=1-2sin²u

=1-2(36/25)²

=1-2(1296/625)

=1-4.14

=-3.142

cos2u=-3.142

tan2u=sin2u/cos2u

Substitute the values of sin2u and cos2u

sin2u=36/25/(-3.142)

=1.44/-3.142

=-0.458

Hence, the exact values are sin2u=36/25, cos2u=-3.142 and tan2u=sin2u/cos2u

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527.8317 Find the digits in the tens place, in the hundredths place, and in the thousandths place for the following number.

Answers

the answer would be 231

A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.

Answers

The 95% confidence interval for the average apple weight is (119.14, 125.86).

An apple typically weighs 120 grams with a 12-gram standard deviation, according to one manufacturer. The average weight of an apple was 122. 5 grams, according to statistics created from a sample of 49 apples that were randomly chosen from a shipment.

Let, n = 49

x = 122.5 

σ = 12

To calculate and interpret a 95% confidence interval for the average apple weight, use the formula;

⇒ (x ± 1.96*σ/√n)

⇒ (122.5 ± 1.96*12/√49)

⇒ (119.14, 125.86)

Consequently, the average apple weight has a 95% confidence interval of (119.14, 125.86).

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a cannon fires a cannonball straight up. what is the magnitude of the cannonball's acceleration at the top of its path assuming no air resistance? Consider the function f(x) = x+2 and g(x) = ax+b. Find a and b, if fog (1) = 2 and g (-1)=2. You have a summer job that pays time and a half for overtime. That means if you workmore than 40 hours in a week, your hourly wage for the extra hours is 1.5 times yourrate of $12 per hour.How much will you get paid if you work 47 hours? Dr. Heidegger is an odd fellow, but it is uncertain if he's simply odd or evil odd. He's had quite a few dead patients, including his fiance. Decide whether hes odd or evil and support your decision with information from the text. Write a well-developed, complex multi-paragraph response as your answer. Who was awarded the highest-ever rank in the u. S. Armed forces? george patton douglas macarthur george washington dwight d. Eisenhower. What do all the performing arts have in common? A. They take place mostly in museums. B. They are not considered to be real art. C. They require digital skill to present them. D. There is a live person displaying them. rebecca is a calendar-year taxpayer who operates a business. she made the following business-related expenditures in december of this year.indicate the amount of these payments that she may deduct this year under both the cash method of accounting and the accrual method of accounting.note: leave no answers blank. enter zero if applicable.a. $2,200 for an accountant to evaluate the accounting system of rebecca's business. the accountant spent three weeks in january of next year working on the evaluation. stellar insurance agency, owned by amy cotton, has worked hard to establish itself in lawrenceburg. after years of hard work, amy is trying to decide whether to bring on another agent. she estimates the new agent will produce $110,000 of agency revenue in the first year and she expects that to grow 20% for each year the agent stays with her. she believes she will need to pay a new agent $50,000 base and 20% commission on the revenue he generates in the first year. although she plans for the base compensation to stay constant, she believes the commissions will grow to 30% after the first year. she has also come to believe that she should plan for the agent to stay five years before the agent starts a new business. in looking at all the costs of hiring the new agent, including licensing and computer equipment, she believes she will spend $12,500 before the new agent actually starts working. given her hurdle rate of 18%, the net present value of hiring the new agent is . group of answer choices A mixture of 82.4 g of aluminum (M=26.98 g/mol) and 117.65 g of oxygen (M=32.00 g/mol) is allowed to react. a) Identify the limiting reactant. b) Calculate the mass of aluminum oxide formed. c) Determine the mass of the excess reactant present in the vessel when the reaction is complete. d) What is the percentage yield for the reaction if reaction mixture produce 120 g of aluminum oxide? Which words or phrases does key use to convey his exaltation at seeing the flag on the morning after the battle? red glare, yet wave breeze, towering, discloses dimly seen, silence reposes gleam, beam, shine. a nurse injects a medication by iv (intravenous) push instead of im (intramuscular) as ordered by the physician. the patient goes into cardiac arrest and dies as a result of this medication error. the nurse has worked at the facility for 15 years and this is his first error. a correct determination by the peer review committee would be that HELLLLPPP WILL GIVE BRAINLIST HELP PLEASE DUE SOON What is the slope of thefunction below?(4,4)(3, 3)Slope = [?] the nurse assesses the respiratory status of an infant. which finding should be of most concern to the nurse? what is the moment of inertia i of this assembly about the axis through which it is pivoted? express the moment of inertia in terms of mr , m1 , m2 , and x . keep in mind that the length of the rod is 2x , not x . Given the inequality 4(n 5) < 3(n + 11), determine which integer makes the inequality false. S:{4} S:{11} S:{53} S:{8} The perimeter of a rectangle is 30 cm. Its width is 3 cm. Which equation can represent the perimeter of the rectangle if L= length? (please explain how you got the answer)A.) 3 + L = 30 B.) 3L = 30C.) 6 + 2L = 30D.) 6L = 30 (02.04 MC)(Multiple Choice Worth 2 points)For the function f(x) = -(x + 1) + 4, identify the vertex, domain, and range.O The vertex is (-1, 4), the domain is all real numbers, and the range is y 4.O The vertex is (-1, 4), the domain is all real numbers, and the range is y 4.O The vertex is (1, 4), the domain is all real numbers, and the range is y 4.O The vertex is (1, 4), the domain is all real numbers, and the range is y 4. Read the information below.Erin enjoys dancingErins favorite dance is the Lindy HopWhich is the best way to combine this information into a grammatically correct sentence? ______ are created when a financial institution takes a group of loans, bundles them together, securitizes these loans as bonds, and sells these bonds to the investors.