4)_Slope = 4; contains (-5, - 13)
I need help please

Answers

Answer 1

Answer:

The equation of the line with slope = 4 and point (-5, -13)

will be:

\(y=4x+7\)

Step-by-step explanation:

Given

slope = m = 4point = (-5, -13)

As the point-slope form of the equation of line is

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

where m is the slope.

substituting the values m = 4 and the point (-5, -13)

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

\(y-\left(-13\right)=4\left(x-\left(-5\right)\right)\)

\(y+13=4\left(x+5\right)\)

subtract 13 from both sides

\(y+13-13=4\left(x+5\right)-13\)

\(y=4x+7\)

Therefore, the equation of the line with slope = 4 and point (-5, -13)

will be:

\(y=4x+7\)


Related Questions

Beth went shopping and withdrew an anverage of 25$ from her account every hour for 6 hours. What was the change in her account

Answers

Answer:

To solve this question we are going to multiply. So lets say that h represents hours, in this equation we have 6 hours, so 6h Beth spent 25 dollars per hour for 6 hours so we can substitute the h in 6h with 25, which will result in us multiplying,

6h

6(25)

= 150

Step-by-step explanation:

I hope this helps!

Type the correct answer in the box

A new clothing store uses advertising through social media to draw customers and increase the number of transactions each month. The

number of transactions, n), for n months is shown in the table below.

Month, n No. of Transactions, f(n)

1

10

2

20

3

40

4

80

If the number of transactions per month continues to increase in this way, fill in the values for a and rto create the function that

describes this situation.

Answers

The function that represent the number of transactions per month is aₙ=10×2ⁿ⁻¹.

Given that,

Month, n       Number of Transactions, f(n)

   1                                 10

   2                                 20

   3                                 40

   4                                 80

Here, in the number of transactions 10, 20, 40, 80.

First term =a=10, common ratio = r = 20/10 =2, 40/20 =2 and 80/40 =2.

Use the formula aₙ=arⁿ⁻¹. Where, a = first term of the sequence, r= common ratio and n = number of terms.

Now, aₙ=10×2ⁿ⁻¹

Therefore, the function that represent the number of transactions per month is aₙ=10×2ⁿ⁻¹.

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Please help me pretty please I been stuck on this for a while now

Please help me pretty please I been stuck on this for a while now

Answers

D because both sides have a length of 5

Use the fact that for points (a1, b1) and (a2, b2) in the coordinate plane, we can calculate the slope of the line through these points using the following formula. Slope = Δy Δx = b2 − b1 a2 − a1 Find the point where the line through (5, 2) with slope 4 crosses the vertical axis. (x, y) =

Answers

The values: y - 2 = 4 * (x - 5) Now, set x = 0 and solve for y: y - 2 = 4 * (0 - 5) y - 2 = -20 y = -18 So, the point where the line crosses the vertical axis is (0, -18).

To find the point where the line through (5, 2) with slope 4 crosses the vertical axis, we first need to use the given formula to find the equation of the line.

Using the point-slope form of a line, we have:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point (5, 2).

Plugging in m = 4 and (x1, y1) = (5, 2), we get:

y - 2 = 4(x - 5)

Simplifying, we get:

y = 4x - 18

To find the point where this line crosses the vertical axis, we set x = 0 and solve for y:

y = 4(0) - 18

y = -18

So the point where the line crosses the vertical axis is (0, -18).

Therefore, the answer is (x, y) = (0, -18).

To summarize, we used the given formula to calculate the equation of the line through (5, 2) with slope 4, and then found the point where this line crosses the vertical axis by setting x = 0 and solving for y.

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Someone help ASAP plssss

Someone help ASAP plssss

Answers

Answer:

49

Step-by-step explanation:

you are given the hypotenuse of 60 and a leg of 35

a^2 + b^2 = c^2

35^2 + b^2 = 60^2

1225 +b^2 = 3600

-1225            -1225

                     2375

B^2 = square root 2375

48.73 round  up to 49

49!! it’s quite simple but i think someone put the explanation on ur comments :)

please help I don't get it ​

please help I don't get it

Answers

2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

What is the Angle Bisector Theorem?

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Given b(x) - 1X+4. what is b(-10)?
-10
-6
6
14

Answers

Answer:

D. 1×10⁻⁸ M

Explanation:

[H⁺] [OH⁻] = 10⁻¹⁴

(1×10⁻⁶) [OH⁻] = 10⁻¹⁴

[OH⁻] = 1×10⁻⁸

The answer is -6 you welcome :)

HYRIGH fararefant et fanter i In a class of 25 student,
17 like volleyball, 15 like basketball and 10 like both games.
Illustrate it with a Venn-diagram and find the number of
students who don't like any of the games. (Ans: 3]​

Answers

Given:

Total students in a class = 25

Students who like volleyball = 17

Students who like basketball = 15

Students who like both = 10

To find:

The students who don't like any of the games.

Solution:

We have,

Total students in a class = 25

Students who like volleyball = 17

Students who like basketball = 15

Students who like both = 10

Now,

Students who like only volleyball = 17-10

                                                       = 7

Students who like only basketball = 15-10

                                                       = 5

Students who don't like any of the games is the difference of total number of students and number of students who like at least one game.

Students who don't like any of the games = 25 - (7+5+10)

                                                                      = 25 - 22

                                                                      = 3

Therefore, 3 students don't like any of the games.

HYRIGH fararefant et fanter i In a class of 25 student,17 like volleyball, 15 like basketball and 10

Two positive numbers have a sum of 8 and a product of 13. Algebraically determine the value of the larger of the two numbers to the nearest hundredth

Answers

The value of the larger of the two numbers is 5.73.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Two numbers = M and N

M + N = 8 _____(1)

M = 8 - N _____(2)

MN = 13 _____(3)

Putting (2) in (3) we get,

(8 - N)N = 13

8N - N² = 13

N² - 8N + 13 = 0

This is in the form of ax² + bx + c = 0

a = 1, b = -8 and c = 13

Using the determinant we have,

N = -b ± √(b² - 4ac) / 2a

N = 8 ± √(64 - 52) / 2

N = 8 ± √12 / 2

N = 8 ± 2√3 / 2

N = 4 ± √3

N = 4 + √3 and N = 4 - √3

[√3 = 1.73]

N = 5.73

N = 2.27

Now,

When N = 5.73, M = 8 - 5.73 = 2.27

When N = 2.27, M = 8 - 2.27 = 5.73

Now,

The two numbers are 5.73 and 2.27

Thus,

The larger of the two numbers is 5.73.

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To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

Answers

It is TRUE that If you want to calculate the total magnification, take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

If you want to get the total magnification of a microscope, you need to multiply the magnification of the objective lens by the magnification of the eyepiece lens. The objective lens typically has a magnification of 4X, 10X, or 40X, and the eyepiece lens usually has a magnification of 10X. So, for example, if you are using a 10X objective lens and a 10X eyepiece lens, the total magnification would be 10 × 10 = 100X.

On the other hand, these numbers may be the total magnification for a lower powered stereomicroscope. 10X and 40X are achievable with 10X eyepieces and 1X or 4X objective lenses. Or it can be a zoom stereomicroscope with zoom set to 1X and 4X and 10X eyepieces. To get a total of 4X, you can use the 0.8X zoom setting (which is common) plus the 5X eyepiece. Or you can use the 0.5x auxiliary lens, 0.8x zoom and 10x eyepieces.

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Complete Question:

True, or False

To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.

50 POINTS!! Are the sums rational or irrational?

50 POINTS!! Are the sums rational or irrational?

Answers

Answer:

rational

irrational

  irrational

 rational

rational

irrational  

Step-by-step explanation:

sqrt(16) +  (-21/5) = 4 + (-21/5) = 4+(-4 1/5)= rational both can be written as fractions

pi +24  irrational  pi is irrational

sqrt(8) + pi = 2 sqrt(2) + pi   irrational because  both are irrational

sqrt(4) +5 = 2+5 = 7  rational

sqrt(36) + cuberoot(27) =6+3 = 9  rational

3/4+ sqrt(27) = 3/4 + 3sqrt(3) = irrational   sqrt(3) is irrational  

Answer:

rational

irrational

irrational

rational

rational

irrational  

Step-by-step explanation:

√16 = 4 is rational.

-21/5 is rational it can be expressed as a fraction.

\(\pi\) is irrational.

√4 = 2 is rational.

5 is a rational number.

√36 = 6 is rational.

∛27 = 3 is rational.

3/4 is rational.

√27 is irrational.

do the three lines 2x1−4x2=8, 4x1 6x2=−40, and −2x1−10x2=48 have a common point of intersection? explain.

Answers

No, the three lines 2x1 − 4x2 = 8, 4x1 + 6x2 = −40, and −2x1 − 10x2 = 48 do not have a common point of intersection. They form a system of linear equations that is inconsistent.

To determine if the three lines have a common point of intersection, we need to check if there is a solution to the system of linear equations. We can rewrite the system of equations in matrix form as:

| 2  -4 |   | x1 |   |  8 |

| 4   6 | * | x2 | = | -40 |

|-2 -10 |   | x3 |   |  48 |

If we attempt to solve this system using Gaussian elimination or any other method, we will find that it leads to an inconsistent system, meaning there is no solution that satisfies all three equations simultaneously.

This can be seen by examining the matrix formed by the coefficients of the variables. The second row is a linear combination of the first row, and the third row is a multiple of the first row. Inconsistent systems occur when the rows of the coefficient matrix are linearly dependent or when one row is a multiple of another.

Therefore, the given system of equations does not have a common point of intersection.

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HELPPPPPPP PLZZZZZZZ

HELPPPPPPP PLZZZZZZZ

Answers

Answer:

lets pray

Step-by-step explanation:

...

Find the volume of a locker that is 50 cm wide, 40 cm long, and 250 cm tall. V=lwh​

Answers

Answer:

56

Step-by-step explanation:

Answer:

its 56 i think but tell me if its right or no Arigatōgo

Step-by-step explanation:

Jeff saw 7 identical
withdrawals on his bank
statement that came to a total
of $315. By how much did each
withdrawal change Jeff's
account?

Answers

Answer:

$45

Step-by-step explanation:

solve 2/x-1=16/x^2+3x-4

Answers

The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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2x + 5 /3x + 7 = 3/5 find X plz​

Answers

Answer:

x = -96/55

Step-by-step explanation:

Given that 2x + (5 /3)x + 7 = 3/5

Firstly, we have to multiply through out the expression by the common denominator. We can see that the denominators are 3 and 5, hence the common denominator is 15. Multiplying through by 15 gives:

2x * 15 + (5 /3)x * 15 + 7 * 15 = (3/5) * 15

30x + 25x + 105 = 9

Collect like terms:

30x + 25x = 9 - 105

55x = -96

Dividing through by 55:

x = -96/55

1,(-2/5 +-6/5) .2/9

2, 5: 3/4 - 24/5 :3/4

Answers

Answer:

1:  0.3555556

2: 2 > 3/4 Or 2.75

Step-by-step explanation:

Not sure if they are correct my bad if it is

The exercise price on one of Flanagan Company's options is $16, its exercise value is $25, and its time value is $4. What are the option's market value and the price of the stock? Round your answers to the nearest dollar; Opton's market value: $ Price of the stock: 5

Answers

The Option's market value is $29, and the price of the stock is $45.

The given exercise price of one of Flanagan Company's options is $16. The exercise value is $25 and the time value is $4.

We have to find the market value of the option and the price of the stock.

The market value of the option can be calculated as follows:

Market value = Exercise value + Time value= $25 + $4= $29

Price of the Stock:

We know that Exercise price = $16.

Let's assume the price of the stock is x.

Therefore, we have the following equation:

Exercise price + Option Price = Stock Price

$16 + $29 = x

Price of the stock = $45

Therefore, the correct answer is:

Option's market value: $29

Price of the stock: $45

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What is the opposite of 8.5?

Answers

Answer:

-8.5

Step-by-step explanation:

If I'm not mistaken this is true because the opposite of a whole number (That isn't 0) is always the negative

find the taylor polynomial t3(x) for the function f centered at the number a. f(x) = 11 tan−1(x), a = 1 t3(x) =

Answers

To find the Taylor polynomial \(\(t_3(x)\)\) for the function \(\(f(x) = 11 \tan^{-1}(x)\)\) centered at \(\(a = 1\)\) , we can use the Taylor series expansion of the function. The Taylor series expansion for \(\(\tan^{-1}(x)\)\) centered at \(\(a = 1\)\) is:

\(\[\tan^{-1}(x) = \tan^{-1}(a) + \frac{1}{1+a^2}(x-a) - \frac{1}{2(1+a^2)}(x-a)^2 + \frac{1}{3(1+a^2)}(x-a)^3 + \ldots\]\)

Now we substitute \(\(a = 1\)\) and \(\(f(x) = 11 \tan^{-1}(x)\)\) into the series:

\(\(t_3(x) = 11 \tan^{-1}(1) + \frac{1}{2}(x-1) - \frac{1}{4}(x-1)^2 + \frac{1}{6}(x-1)^3\)\)

Simplifying:

\(\(t_3(x) = 11 \cdot \frac{\pi}{4} + \frac{1}{2}(x-1) - \frac{1}{4}(x-1)^2 + \frac{1}{6}(x-1)^3\)\)

Thus, the Taylor polynomial \(\(t_3(x)\) for \(f(x) = 11 \tan^{-1}(x)\)\) centered at

\(\(a = 1\) is \(t_3(x) = 11 \cdot \frac{\pi}{4} + \frac{1}{2}(x-1) - \frac{1}{4}(x-1)^2 + \frac{1}{6}(x-1)^3\).\)

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Maryanne invests $500 into an account that earns 4% annual interest compounded quarterly.

What is her account balance after 5 years if she makes no withdrawals or deposits?

Enter your answer in the box.

Answers

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &5 \end{cases} \\\\\\ A=500\left(1+\frac{0.04}{4}\right)^{4\cdot 5} \implies A=500(1.01)^{20}\implies A \approx 610.10\)

help me please i have to pass it

help me please i have to pass it

Answers

Answer:

<

_

Step-by-step explanation:

Just some basic logic.

H < 46 It’s the 4th option
_

Apply the properties of operations to find an equivalent expression for 4x + 2y

Answers

Answer:

2(2x + y)

Step-by-step explanation:

We can distribute a 2 out and we would get the same expression when we multiply it back out.

Answer:

2(2x + y)

Step-by-step explanation:

It said that after I answered it on Edmentum.

For a lower tail test, the p-value is the probability of obtaining a value for the test statistic at least as.

Answers

For a lower tail test, the p-value is the probability of obtaining a value for the test statistic at least as small as that provided by the sample

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

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Apply the Gauian elimination method to olve the following ytem of linear equation. 2x – y 3z = 5
2x 2y 3z = 7
-2x 3y = -3

Answers

The solution is (x,y,z) =(1,2,3)

How to apply Gauian elimination method?

It takes three row operations to transform an augmented matrix into its row-echelon form. by Gaussian elimination These involve row switch, multiplication of a row by a constant and addition of rows.

[R2 -2R1 -----R2]

1  2   3   14

2   -3  - 3   -15

2   3   1     11

[R3 -2R1 -----R3]

1      2       3   14

0    -3   - 3   -15

0   -1     -5    17

[R3 -(1/3R2 -----R3]

1      2       3   14

0    -3   - 3   -15

0   0     -4    -12

The result above may be expressed as a system of linear equations:

2x+2y+3z=14

-3y-3z=-15

-4z=-12

From the first equation and using y=−2 and z=3:

x+2y+3z=14

x+2(2)+3(3)=14

x+4+9=14

x+13=14

x=1

[substract 13 from both side]

The solution is (x,y,z) =(1,2,3)

The complete question is : Use the Gaussian Elimination Method to solve:

x+2y+3z=14

2x+y+3z=13

2x+3y+z=11

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What do you notice about these two triangles? What's
the same? What's different?
10
Share w
10
15

What do you notice about these two triangles? What'sthe same? What's different?10Share w1015

Answers

Answer:

They are the same shape and ratio, but are in different scales/size

Step-by-step explanation:

Please help me,Please I have a class in 2 hours Please help me​

Please help me,Please I have a class in 2 hours Please help me

Answers

To find the perimeter of a shape you add all the side lengths together.

Perimeter of A is 20cm because 7+7+3+3=20

Perimeter of B is 27cm because 9+8+10=27

Perimeter of C is 17cm because 6+6+5=17

Perimeter of D is 34cm because 10+10+4+4+3+3=34

On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.

I hope this helps you have a good day

8. Alvin purchased $1,300,000 worth of videogame set and made a $150,000 down payment. He agreed to pay the balance by making equal payments at the end of each month for 20 years. What is the size of the monthly payment if the interest charged is 16% compounded quarterly?

Answers

We have a purchase of $1,300,000.

The downpayment is $150,000 and the rest is financed.

We can calculate the amount that is owed as:

\(\begin{gathered} C=1,300,000-150,000 \\ C=1,150,000 \end{gathered}\)

This amount will be paid in equal amounts, monthly for 20 years.

The interest rate is 16% compounded quarterly.

We have to start by converting the interest rate in a monthly-compounded equivalent rate.

A rate of 16% compounded quarterly (m=3) will be equivalent to a monthly rate r. We can calculate r as:

\(\begin{gathered} (1+r)^{12}=(1+\frac{0.16}{3})^3 \\ (1+r)^4=1+\frac{0.16}{3} \\ (1+r)^4\approx1+0.05333 \\ 1+r\approx1.0533^{\frac{1}{4}} \\ r\approx1.013-1 \\ r\approx0.013 \end{gathered}\)

We then can calculate the payments as an annuity with r = 0.013 and 20*12 = 240 payments.

We can calculate the amount he will pay each month as:

\(\begin{gathered} P=\frac{r\cdot PV}{1-(1+r)^{-n}} \\ P=\frac{0.013\cdot1150000}{1-(1+0.013)^{-240}} \\ P=\frac{14950}{1-1.013^{-240}} \\ P=\frac{14950}{1-0.045} \\ P=\frac{14950}{0.955} \\ P=15654.45 \end{gathered}\)

Answer: the monthly payment is approximately $15654.45.

The family-size bottle holds 12 fluid ounces (fl oz) of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle of sunscreen hold?

Answers

Answer:

3 fl. oz.

Step-by-step explanation:

75% of 12 is the same as multiplying 3 by 4 to get 12. So, you have 3 fl. oz.

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Steve Drake sells a rental house on January 1, 2015, and receives $120,000 cash and a note for $45,000 at 10 percent interest. The purchaser also assumes the mortgage on the property of $35,000. Steves original cost for the house was $180,000 and accumulated depreciation was $30,000 on the date of sale. He collects only the $120,000 down payment in the year of sale.gross profit percentage (expressed as a decimal amount). divide line 16 by line 18. (for years after the year of sale, see instructions) . PLEASEEEEEE SAVE ME FROM THIS NIGHTMARE Robert is looking to buy a deep fryer. He has narrowed his search down to two models. The following table gives the details of the prices, cost per use in electricity and oil, and lifespan of the two models Robert is considering to purchase. Brand Brand P Brand Q Price $144. 00 $37. 50 Avg. Cost/Use $0. 49 $0. 75 Lifespan 6 years 2 years Robert plans on using his deep fryer about eight times per month. After six years, which brand will have the lower lifetime cost, and by how much? Hint: Assume that either deep fryer can be repurchased at the same price, if needed to provide the desired length of service. A. Brand P will be $118. 26 cheaper than Brand Q. B. Brand P will be $149. 76 cheaper than Brand Q. C. Brand Q will be $184. 50 cheaper than Brand P. D. Brand Q will be $31. 50 cheaper than Brand P. Please select the best answer from the choices provided A B C D. A village loses 14% of its goats in a flood and 6% of the remainder die from dieseses.given that the number of goats left is 8084, find the original number of goats in the village. How did john stuart mill view the position of women in nineteenth-century society?. Which of the following is the correct formula used for calculating Speed?Speed = distance / timeSpeed = time / distanceSpeed = mass / time What is the product of (0.9)(2.4)? 3.3 2.16 2.16 3 Exercise 2 Correct each personal pronoun in italics so it agrees with its antecedent in the sentence. Cross out the incorrect pronoun, and write the correct word above it. Do not change any pronouns that already agree with the antecedent in number and gender. Martina would like to give his opinion on the topic. who killed Christians in order to please the gods The area of the shaded region is 56 in2. find the width of the shaded region. 4 question 4 options: 4 inches -14 inches 6 inches 2 inches Name:IP: ACP Rev1. A downtown shop rents scooters for a one-timecost of $20.50 plus $7.50 per hour. Which equationcan be used to find y, the total cost that a group ofpeople must pay to rent x scooters for 8 hours? Eric, after listening to you talk about surpluses, investing and being smart with money, is thinking about how much he would save in interest on his car loan if he paid $50 dollars extra each time he paid his car note. To get this information, eric would need what type of schedule to show him the impact of his extra payments?. why did many people move to the republic of texas A poll is given, showing 30% are in favor of a new building project.If 5 people are chosen at random, what is the probability that exactly 4 of them favor the new building project? deceptive packaging includes exaggerating package contents through subtle design and misleading labels. Are the ratios 2:1 and 18:7 equivalent? Does direction matter while studying? ......... pressure readings are only positive and are expressed in psia (pounds per square inch absolute). A. HydrostaticB. GageC. VacuuD. AbsoluteTrue or False: An unsteady vacuum gauge reading indicates that something may not be operating correctly and that there is an air loss or leak. Match the general type of chemical reaction to the example that best fits it.A. Na + cl2 -> NaCl B. H2O -> H2 + O2C. C6H12O6 + O2 -> H2O + CO2 + energy D. Al(OH)3 + Li -> LiOH + AlE. HCl + NaOH -> NaCl + H2O__Combustion reaction __ Single replacement __Double replacement __Synthesis __Decompostion a water droplet falling through the air can oscillate with some angular frequency that depends on its surface tension, density, and radius. the surface tension may be interpreted as the energy per unit area of surface of the drop. if a certain drop oscillates with angular frequency $\omega,$ what is the oscillation angular frequency of a drop with half of the first drop's radius?