help plzzzzzzzzzzzz not i am lost. 100 points or more if I can. Show how to solve the Quadratic Equation y=6x^2 +2x - 20 or a different equation you choose by ALL OF THE FOLLOWING METHODS: Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

y=6x^2 +2x - 20

a=6  b= 2  c = -20

Quadratic Formula

-b ± sqrt( b^2 - 4ac)

------------------------------

   2a

-2 ± sqrt( 2^2 - 4*6(-20))

------------------------------

   2*6

-2 ± sqrt( 2^2 - 4*6(-20))

------------------------------

   2*6

-2 ± sqrt(484)

------------------------------

   2*6

-2 ± 22

------------------------------

   12

20/12 = 5/3        -24/12 = -2

solutions are 5/3 and -2

Factoring

0=6x^2 +2x - 20

0 =2( 3x^2 +x - 10)

   =2 ( 3x-5) ( x+2)

Using the zero product property

3x-5 = 0   x+2 = 0

3x=5         x =-2

x = 5/3      x = -2

Completing the square

y=6x^2 +2x - 20

Add 20

20=6x^2 +2x

Divide by 6

20/6 = x^2 +2/6x

10/3 = x^2 +1/3x

Take the coefficient of x and divide by 2

1/3 /2 = 1/6

Square it

(1/6) ^2 = 1/36

Add it to each side

10/3 + 1/36 = x^2 +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6) ^2

121/ 36= ( x+ 1/6) ^2

Take the square root of each side

sqrt(121/ 36) = sqrt( ( x+ 1/6) ^2)

±11/6 = x+1/6

Subtract 1/6 from each side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      -1/6 + 11/6 = x

-12/6 =x                10/6 =x

-2 =x                         5/3 =x

Graphing

Help Plzzzzzzzzzzzz Not I Am Lost. 100 Points Or More If I Can. Show How To Solve The Quadratic Equation
Answer 2

Answer: and Step-by-step explanation:

y=6x² +2x - 20

let a=6  

let b= 2

let c = -20

Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

using Quadratic Formula

-b ± √( b² - 4ac)

             2a

-2 ± √( 2² - 4*6(-20))

             2*6

-2 ± √( 2² - 4*6(-20))

              2*6

-2 ± √(484)

       2*6

20/12 = 5/3      

-24/12 = -2

the answers are 5/3 ;  -2

use by Factoring

0=6x² +2x - 20

0 =2( 3x² +x - 10)

   =2 ( 3x-5) ( x+2)

by using the zero product property

3x-5 = 0

x+2 = 0

3x=5        

x =-2

x = 5/3    

x = -2

by using completing the square

y=6x² +2x - 20   Add 20

20=6x² +2x        Divide by 6

20/6 = x² +2/6x

10/3 = x^2 +1/3x    Take the coefficient of x and divide by 2

1/3 /2 = 1/6             Square it

(1/6) ² = 1/36        Add it to both side s

10/3 + 1/36 = x² +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6)²

121/ 36= ( x+ 1/6)²  Take the square root of both side

√(121/ 36) = √( ( x+ 1/6)²)

±11/6 = x+1/6          Subtract 1/6 from both side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      

-1/6 + 11/6 = x

-12/6 =x                

10/6 =x

x = -2  

x = 5/3

by using a graphing computer

Help Plzzzzzzzzzzzz Not I Am Lost. 100 Points Or More If I Can. Show How To Solve The Quadratic Equation

Related Questions

what is the minimum amount of colors to be used to shade 4 different regions?​

Answers

The four color theorem-No more than 4 colors are required to color the regions map

Given this inequality. please solve for v. If you can explain your steps.

Answers

Answer:

v > -1

Step-by-step explanation:

v satisfies both these inequalities:

(*) -17 + 4v < 10v - 11

(**) 10v - 11 < 11v + 6

(*) <=> -17 + 11 < 10v - 4v

<=> -6 < 6v or 6v > -6

<=> v > -1

(**) <=> -11 - 6 < 11v - 10v

<=> -17 < v or v > -17

Combine (*) and (**)

--> Solution for this inequality is v > -1

Mr. DeLuca had $568.34 in a bank account. How much money did he have left in his bank account after he used his debit card two times, each time for $27.50?

Answers

Answer:

$513.34

Step-by-step explanation:

Mr. DeLuca used his debit card twice, each time for $27.50.  This is a total of $55 spent.

$27.50 × 2 = $55

You now have to subtract the money spent from his bank balance.

$568.34 - $55 = $513.34

$513.34 was left in his bank account.

What is 124.62 rounded to the nearest whole number? Please ASAP!

Answers

124.62 rounded to the nearest whole number is 125

124.62 rounded to the nearest one is 125.

Rounding 124.62 to the nearest one is equivalent to finding the integer multiple of one nearest to 124.62.

What is the nearest number?

" Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. "

                  124 ≤ 124.62 ≤ 125

The distance from to 124.62 to 124 is = 124.62 - 124 = 0.62

The distance from to 124.62 to 125 is = 125 - 124.62 = 0.38

So, the rounded to the nearest whole number is 125.

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Represent "The product of 5 and a number z" mathematically.

Answers

Answer:

5z

Step-by-step explanation:

Answer:

5z

Step-by-step explanation:

'The product of 5 and a number' would be 5 *  n.

Since the number in the question would be 'z', we will write it as '5 * z'.

However, the most ideal way to write this is '5z'. So,  "The product of 5 and a number z" would be '5z'.

Hope this helps.


- 5 – 8p = – 3p
What is the correct solution?

Answers

Answer:

p = -1

Step-by-step explanation:

Step 1: Write out equation

-5 - 8p = -3p

Step 2: Add 8p to both sides

-5 = 5p

Step 3: Divide both sides by 5

-1 = p

Step 4: Rewrite

p = -1

Answer:

P=-1

Step-by-step explanation:

-5-8p=-3p

+8p +8p

------------------

-5=5p then divide both sides by 5

P=-1

Consider the expression below.
(a + 4)(a + 9)
For (x + 4)(x + 9) to equal 0. either (x + 4) or (x + 9) must equal
The values of x that would result in the given expression being equal to o, in order from least to greatest, are
and

Answers

Answer:

x = - 9, x = - 4

Step-by-step explanation:

Set (x +)(x + 9) equal to zero, that is

(x + 4)(x + 9) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 9 = 0 ⇒ x = - 9

Thus

x = - 9, x = - 4

Which relationship is always true for the angles r, x, y, and z of triangle ABC? A triangle is shown with a leg extending past the top vertex. The vertices are labeled ABC. Angle y is located inside the triangle at vertex B. Angle z is located inside the triangle at vertex C. Angle x is located outside the triangle between beside vertex A and the extended leg. Angle r is located inside the triangle at vertex A. x + z = y 180 degrees − x = r x + y + z = 180 degrees x + y + z = 90 degrees

Answers

Answer:

y+z=x

Step-by-step explanation:

we know that

The Exterior Angle Property of a Triangle states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles

In this problem

Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC

therefore

Applying the Exterior Angle Property of a Triangle

y+z=x

Hope This Helps!

Answer: (180 degrees − x = r)

Step-by-step explanation:

I took the test

An empty can weighs 30 grams. The weight of the same can filled with liquid is 47.3 grams. Which equation could be used to find w, the weight of the liquid?

Answers

Answer:

w = y - x is the equation to find w

Where,

w = Weight of the liquid

x = Weight of the empty can

y = Weight of the can with liquid

Step-by-step explanation:

Let

Weight of the empty can = x

Weight of the liquid = w

Weight of the can with liquid = x + w = y

x= 30 grams

w = ?

y= 47.3 grams

y = x + w

w = y - x

= 47.3 - 30

= 17.3

w= 17.3 grams

Therefore, the weight of the liquid is 17 .3 grams

b) James went to Black Rock coffee shop and ordered
2 coffees and 5 bagels for which he paid $24. The next
morning he returned to buy 3 coffees and 4 bagels for
$22. Based on this information, determine how much
each item costs.​

Answers

Answer:

Coffees cost $2 each and bagels cost $4 each

Step-by-step explanation:

Let

Coffee=c

Bagels= b

2 coffees and 5 bagels for which he paid $24

2c + 5b= 24 (1)

he returned to buy 3 coffees and 4 bagels for

$22

3c + 4b = 22 (2)

2c + 5b= 24 (1)

3c + 4b = 22 (2)

Multiply (1) by 3 and (2) by 2

6c + 15b = 72 (3)

6c + 8b = 44 (4)

Subtract (4) from (3)

15b - 8b = 72 - 44

7b = 28

Divide both sides by 7

b= 28 / 7

= 4

b= $4

Substitute b=4 into (1)

2c + 5b= 24

2c + 5(4) = 24

2c + 20 = 24

2c = 24 - 20

2c = 4

Divide both sides by 2

c= 4 / 2

c= $2

Therefore,

Coffees cost $2 each and bagels cost $4 each

what is
[tex] \frac{2}{3}and \frac{5}{6} [/tex]
as a decimal?

Answers

2/3 = .6667
5/6 = .8333

The ratio of girls to the total number of students in class is 4 to 7. How many students are girls if class has 21 students in all?

Answers

Answer:

12

Step-by-step explanation:

There would be 12 girl students in a class of 21 students.

What is proportion?

"A proportion is a mathematical statement where two or more ratios are equivalent."

We have been given that, the ratio of girls to the total number of students in class is 4:7

We need to find the number of girl students if the class has 21 students in all.

Let 'n' represents the number of girl students.

⇒ [tex]\frac{4}{7} = \frac{n}{21}[/tex]

⇒ [tex]4\times 21 = n\times 7[/tex]                        ......................(cross product)

⇒ [tex]84 = n\times 7[/tex]

⇒ [tex]n=\frac{84}{7}[/tex]                                    ......................(Divide each side by 7)

⇒ [tex]n=12[/tex]

Hence, there would be 12 girls if class has 21 students in all.

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Simplify by combining like terms. Type the terms in alphabetical order. -5y+9x+9y+5x=

Answers

Answer: 14x+4y

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

Explanation:

x is a variable or placeholder for a number. Think of it like a box.

1x = 1 box

2x = 2 boxes

and so on

9x = 9 boxes

5x = 5 boxes

9x+5x = 9 boxes + 5 boxes = 14 boxes = 14x

So that's one way to see how 9x+5x = 14x.

Or you could add the coefficients 9 and 5 to get 9+5 = 14. Then tack an x onto everything.

----------

The y terms are handled in a similar fashion.

-5y + 9y = 4y

which is the same as

9y - 5y = 4y

You could think of it like this

(9 yaks) - (5 yaks) = 4 yaks

So we started with 9 yaks and took away 5 of them to be left with 4 yaks.

----------

After getting the results 14x and 4y. We would then have the final answer 14x+4y

The x and y terms cannot be combined since they are not like terms. So we leave that expression as is.

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.

Answers

Answer:

The Elegant Home Architects charges are less than Rock the House Digital Designs charges for hours worked more than 2.

If the number of hours worked is equal to 2 than both would charge the same and if the hours are less than 2 then  Rock the House Digital Designs  will be a better option .

Step-by-step explanation:

Let ℎ represent the number of hours for which the Johnson family hires the design firm.

Suppose the  Johnson family hires the design firm for ten hours so h= 10

Then the charges by the Rock the House Digital Designs will be

$ 500 + 50(10)= $ 500+ $500= $1000

And the charges for the services by Elegant Home Architects will be

$75.00(10) = $ 750

Therefore the Elegant Home Architects charges are less than Rock the House Digital Designs charges.

But if the number of hours worked is equal to 2 than both would charge the same and if the hours are less than 2 then  Rock the House Digital Designs  will be a better option .

Rock the House Digital Designs

For 2 hours

$ 500 + 50(2)= $300

For 1 Hour

$500 + 50 (1)= $ 550

Elegant Home Architects

For 2 hours

$75.00(2) = $ 300

For 1 Hour

$75.00(1) = $ 75

M is between points c and q. Cm =22 and cq =39. What is mq

Answers

Answer: mq  = 17

Step-by-step explanation:

If cm is 22   and cq  which is the whole distance,  then subtract the distance of  cm which is 22 from the distance of cq which is 39.

39 - 22 = 17


16.When writing a repeating decimal as a fraction, does the number of repeating
digits you use matter? Explain.

Answers

Yes it does matter i think

Answer:

Yes.  It needs to be clear that it is on going.  So as long as it is evident that it repeats, you're good.

Step-by-step explanation:

3x + 5 + 5x – 2
Combine the like terms

Answers

8x+5-2 is the answer

Joshua rolls two dice to form a two-digit
integer. If the number on the first die rep-
resents the tens digit and the number on the
second die represents the units digit, what
is the probability that the integer formed is
divisible by 8?

*Does anyone know which “category” or topic this question would fall under? Like what would I search to find more questions similar to this?

Answers

Answer:

fits under statistics category (also probability or math :\)

Lucy wants to be exempt from her semester exam. In order for that to happen, she has to average an 85 over 3 test grades. Her first 2 test grades were 81 and 86. What does Lucy need to make on her third test in order to have an exact average of 85 and be exempt from her exam?

Answers

Answer:

Grades to be scored in 3rd exam = 88

Step-by-step explanation:

Given that average of 3 numbers is 85.

First two numbers are 81 and 86.

To find:

3rd number so that average is 85

Solution:

Let the third number = [tex]x[/tex]

Formula for average is:

[tex]Average = \dfrac{Sum\ of\ numbers}{Total\ count\ of\ numbers}[/tex]

Here, sum of numbers = [tex]81+86+x =167+x[/tex]

Total count of numbers = 3

[tex]85 = \dfrac{167+x}{3}\\\Rightarrow x=255-167\\\Rightarrow \bold{x=88}[/tex]

Grades to be scored in 3rd exam = 88


If x is to 9 as 8 is to 12, then x is equal to _____

Answers

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

This is basically just a ratio in disguise. Ratios can be represented as fractions, and we can write these ratios to be equal to each other.

[tex]\frac{x}{9} = \frac{8}{12}[/tex]

We can solve for x using the cross products property:

[tex]9\cdot8=72\\\\72\div12=6[/tex]

Hope this helped!

Answer:

x=6

Step-by-step explanation:

We can write ratios to solve

x          8

----- = -----------

9           12

Using cross products

12x = 8*9

12x = 72

Divide by 12

x = 72/12

x =6

If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x

Answers

Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation.  This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

Why isn’t the maximum ACT score (36) at the 100th percentile?

Answers

Answer and Explanations

ACT score percentile help colleges compare students with one another, rather than just looking at everyone’s score. The  score range is between 1 and 36, the highest score that one can receive on the ACT is 36. Moreover, 36 is the perfect score.

The maximum ACT score (36) is that in 2018, only 3,741 students (out of millions of test-takers) scored a perfect 36 on the ACT.  The 99th percentile of test-takers includes those who earn 35 or 34 on the ACT. We can miss up to five questions on the ACT and still earn a 36. That is a reason why the maximum ACT score is 36 at the 100th percentile.

The ACT score report will provide more information about test-taking experience in the form of sub score. The higher the score,  you will get into the colleges of your choice.

The maximum ACT score is not at the 100th percentile. because the student cannot score more than himself as well as others whom scored the same.

Although your question lacks some data a general answer have been provided above

       For the maximum score ( 36) to be at the 100th percentile the individual who scores the maximum ACT score, must have scored higher than others and also him/herself in the data set.

Even if a student scores the highest score (36) it does not mean they have scored higher than others who had the same score ( 36 ) with them or him/her self.

Hence we can conclude that the maximum ACT score ( 36 ) cannot be at the 100th percentile because the student cannot score more than himself as well as others whom scored the same.

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If [x] + x + y =10 AND \y] + x - y =12 then find the value of x + y​

Answers

Answer:

hope it helps

Step-by-step explanation:

2x+y=10

x-2y=12

2x+y=10

2x-4y=24

y=-14/5

2x=10+14/5

2x=64/5

x=32/5

If the size of the matrix B is 4 × 5, the size of the matrix D is 4 × 2 and the order of the matrix E is 5 × 4, then the order of the matrix D^T × (BE) is:

Answers

Answer:

The order of the matrix D^T × (BE) is 2 × 4

Step-by-step explanation:

In the multiplication of matrix, the number of columns in the first matrix must be equal to the number of rows of the second matrix. The resulting matrix from the product will have the same number of rows as the first matrix and the same number of column as the second matrix. For example, given Matrix A of order (m × n) and Matrix Z of order ( n × k), the product of the two matrices will give a matrix ( say Y) of order (m × k).

AZ = Y

(m x n)(n x k) = (m x k)

Now, From the question,

The order of Matrix B is 4 × 5,

the order of the matrix D is 4 × 2

and the order of the matrix E is 5 × 4.

To determine the order of the matrix D^T × (BE)

First, will find the order of (BE)

Order of BE = (4 × 5) (5 × 4)

Order of BE = (4 × 4)

Hence, the order of matrix (BE) is 4 × 4.

Now, we will determine the order of matrix D^T

D^T means the transpose of matrix D.

The transpose of a matrix is defined as a new matrix whose rows are the columns of the original matrix and the columns of the new matrix are the rows of the original matrix. This means given Matrix A of order (m × n), the transpose of Matrix A (A^T) will have an order of (n × m).

The order of the matrix D is 4 × 2

Hence, the order of the transpose of matrix D (D^T) will be 2 × 4

Now, the order of the matrix D^T × (BE) will be

Order of the matrix D^T × (BE) = (2 × 4) × (4 × 4)

Order of the matrix D^T × (BE) = 2 × 4

Hence, the order of the matrix D^T × (BE) is 2 × 4.

The exam scores from the most recent math test are shown. What is the value of measure that best describes a typical math score?

93,88,76,91,92,96,100,96,74,
89,94,91

Answers

Answer:

I believe it would be "mean".

Step-by-step explanation:

Mean is an average of a set of numbers.

Write the slope-intercept form of the equation of the line through the given points.

Answers

Answer:

12) [tex] y = -x - 5 [/tex]

Step-by-step explanation:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

12) (0, -5), (-1, -4)

[tex] y - (-5) = \dfrac{-4 - (-5)}{-1 - 0}(x - 0) [/tex]

[tex] y + 5 = \dfrac{-4 + 5}{-1}(x) [/tex]

[tex] y + 5 = \dfrac{1}{-1}(x) [/tex]

[tex] y = -x - 5 [/tex]

Answer:

work is pictured and shown

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-8)/(x+7) and g(x) = (-7x-8)/x-1

Answers

f(x) = (x-8)/(x+7) and g(x) = (-7x-8)/(x-1)

To confirm that f(x) and g(x) are inverses.

f(g(x)) = x

g(f(x)) = x

f(g(x)) = (((-7x-8)/(x-1))-8)/(((-7x-8)/(x-1))+7)

f(g(x)) = (-15x² -15x)/(-15x² - 15)

f(g(x)) = -15x/-15

f(g(x)) = x

g(f(x)) = (-7((x-8)/(x+7))-8)/(((x-8)/(x+7))-1)

g(f(x)) = (-15x² - 105x)/(-15x²- 105)

g(f(x)) = -105x/-105

g(f(x)) = x

f(x) and g(x) are inverses.

don't get any of this ​

Answers

Answer:

the value of the printer is going down over the years because it is getting older. all you need to do for this is label the x and y axis with the nbers on the graph and then fill it in

has ur teacher gone over how to fill in graphs yet?

part a- represent V as a function of t

step 1: find the slope by picking any two coordinates and using the slope formula
m=(y2-y1)/(x2-x1)

-i chose (8,2000) and (4,7000) but it doesn't matter what you choose.

-plug in:
m=(7000-2000)/(4-8)=-5000/4=-1250

step 2: plug any coordinate into equation y=mx+b

- i chose (0,12000)

- plug in:
(12000)=(-1250)(0)+b

- solve for b
b=12000

step 3: V as a function of t
- use slope intercept equation y=mx+b
- V(t)=y
- t=x
- m=-1250
- b=12000
V(t)=-1250t+12000 (final answer)

part b- graph it

part c- the slope represents the rate at which the copier decreases in value over t years.

Simplest form 9/10-4/10 ?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

9 - 4 = 5

[tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

4/10 = 2/5

9/10 - 2/5

LCD = 10

make the denominators the same as the LCD

9/10- 2x2 / 5x2

9/10 - 4/10

join the denominators

9-4/ 10

5/10 = simplify

=

1/2

A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it punctures the bike’s tire. After the bike has moved forward another 56π inches, how high above the ground is the screw? Round to the nearest tenth of an inch. 4 inches 8 inches 12 inches 16 inches

Answers

Answer:

The correct option is;

16 inches

Step-by-step explanation:

The parameters of the motion given are;

The diameter, D of the bicycle = 16 inches;

The distance the bike moves (forward) after the screw punctures the tire = 56·π inches

We note that the circumference of the bicycle = π·D = π × 16 = 16·π inches

Therefore;

56·π inches/(16·π inches) = 3.5

Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.

The height, h of the screw in the final half turn is given by the relation;

h = A×cos(Bx - C) + D

A = Amplitude of the motion = Diameter/2 = 16/2 = 8

P = The period of the motion 2·π/B

B·x = The angle described by the motion = Half of one revolution = π = 180°

C = Phase shift = π

D = The midline = Diameter/2 = 8 inches

Therefore;

h = 8×cos(π - π) + 8 = 16 inches

After the bike moves forward another 56·π inches the height of the screw = 16 inches.

Answer:

16 inches

Step-by-step explanation:

just took the assignment

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at advice would you provide on mistakes and biases to avoid when selecting employees for available jobs? 10mks What was the purpose of adding the Bill of Rights to the Constitution?Protect individual liberties freedom)State Tax PurposeFederal Tax purposesState Tax Purposes Add comma(s) whereneeded, if needed.We brought home the dog abeagle that we adopted. Highlight the correct relative pronoun to complete each sentence.The boy (who, whom, whose) name I forgot, drove me to school.The man (who, whom, whose) called today wants a cake.This is the woman (who, whom, whose) cat I found. And what OPriest, is the noble truth of the path leading to the cessation of misery? It is right belief, right resolve, right speech, right behavior, right occupation, right effort, right contemplation, and right concentration. These words describe the teaching and philosophy of what religious teaching? 4. Which step will solve the equation below for x? *1 pointx2 = 64Taking the square root of both sides of the equationTaking the cube root of both sides of the equationDividing both sides of the equation by 2Subtracting 2 from both sides of the equation Can someone help me with this problem Any given demand or supply curve is based on the ceteris paribus assumption that ___________________. Group of answer choices When economists talk about supply, they are referring to a relationship between price received for each unit sold and the _________________. " If a 1 percent increase in price results in less than a 1 percent decrease in quantity demand, demand is: " What can you tell about Herbert Morrison, the author of this source, by listening to his broadcast? Who is the audience he addressing? The ability of metabolically active tissue (e.g. muscle) to change energy sources from fat to carbohydrates (and vice versa) is termed Abigail is putting juice into cone-shaped containers to make frozen treats. She has approximately one quarter of a gallon, or 58 cubic inches, of juice to make the treats with. Eachcontainer has a height of 3 inches.Use the information to complete the table indicating the maximum number of treats that Abigail could make with 58 cubic inches of juice. Who emerged as a leader during the first battle of the Frenchand Indian War? The cost of admission to a popular music concert was $122 for 11 children and 3 adults. The admission was $102 for 6 children and 4 adults in for another group. How much was the admission for each child and adult? "The MSRB online system that gives non-professional investors key information about municipal securities, including issuer financial disclosures, notices of material events, real-time prices, and market statistics is called:" Consider the following per unit data for Jennifer Company, a seller of tables and chairs: What is the weighted-average unit contribution margin for Jennifer Company? A triangle has side lengths of (1.4u+9.6)(1.4u+9.6) centimeters, (4.3u-9.9)(4.3u9.9) centimeters, and (5.3v+1.8)(5.3v+1.8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? a) What volume of a 1.0 M KI solution must be added to 470.0 mL of a solution that is 0.11 M in Pb2 ion to precipitate all the lead ion Why was it important fro art to be painted realistically before photography was invented? Amino acids and sugars are both required by animals to maintain their health. Without a dietcontaining both of these, animals cannot survive. Amino acids are obtained by animals whenthey digest -A carbohydratesB proteinsC nucleic acidsD lipids