Evaluate : (r - 3)³ + r² if r = -3 and s = -4. Show all the steps of working for this question.
I have a math test please give me the right answer!!

Answers

Answer 1

Answer:

-207

Step-by-step explanation:

Using r= -3, we can substitute r in the whole equation as (-3) which gives you: ((-3)-3)^3 +(-3)^2. Now you can calculate these values in a step by step manner. (-6)^3 +9 then to -216 +9 which brings you to the answer of -207.

Answer 2

Answer:

225

Step-by-step explanation:

(r - 3)³ + r² if r = -3 and s = -4

(-3 - 3)^3 + (-3)^2

(-6)^3 + (9)

(-6 x -6 x -6) + 9

-216 + 9

-207


Related Questions

C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?

Answers

Answer:

[tex] RC = 40 [/tex]

Step-by-step explanation:

Given:

PC = 3x + 7,

RC = 5x - 15,

QC = 51 - x.

Required:

measure of RC

SOLUTION:

Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.

So therefore,

[tex] PC = RC = QC [/tex]

Let's find the value of x using:

[tex] PC = RC [/tex]

[tex] 3x + 7 = 5x - 15 [/tex] (substitution)

Collect like terms

[tex] 3x - 5x = -7 - 15 [/tex]

[tex] -2x = -22 [/tex]

Divide both sides by -2

[tex] x = \frac{-22}{-2} [/tex]

[tex] x = 11 [/tex]

Find the measure of RC

[tex] RC = 5x - 15 [/tex]

substitute x = 11 into the equation

[tex] RC = 5(11) - 15 [/tex]

[tex] RC = 55 - 15 [/tex]

[tex] RC = 40 [/tex]

Answer:

40

Step-by-step explanation:

A decimal is never a rational number

True
False

Answers

Answer:

False

Step-by-step explanation:

Decimals such as 1.2, 4.95, 2.28914 are all rational numbers.

If it doesnt end then its irrational, such as pi. but we know the exact amount of the numbers above therefore its rational. Also it can be put in fraction form which is another way to determine if rational or not.

Miki bought some erasers at the school store for $0.39. After
paying for the erasers, she had $0.13 left. Which amount is a
reasonable estimate of the money Miki had to start with?

Answers

She either had $0.52 or more because it doesn’t say how many erasers she got

1. What is the width of a rectangle with a length of 14 cm and area 161 cm2? Formula: A=L*W


2. What is the radius of a circle with a circumference of 13 ft? Formula: C=2PI*R


3. A rectangle has a perimeter 182 in. and length 52 in. What is the width? Formula: P=2*L+2*W


4. A triangle has a base of 7 m and an area of 17.5 m2. What is the height? Formula: A=1/2*b*h
Pls Show Work

Answers

Answer:

one question at a time please

5. Find the equation of the line through the points (-6, 12) and (-4,91

Answers

Answer:

The answer is -11x and -21

4x^3+52x^2+144x
solve by factoring

Answers

Answer:

4x(x^2 + 13x + 36)

Step-by-step explanation:

Multipy through to get the original value

5. What is the quotient if you divide 9/12 - 1/6​

Answers

would be 7/12?? i’m pretty sure

54 hope it helps 54 that what is gave it to me

Write a number that has a 5 that is 1/10 the value of the 5 in 5.348

Answers

Answer:

0.5

Step-by-step explanation:

5.348

5 is in ones place

5/10=0.5

The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the garden.

Answers

Answer: Length = 11

              Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

I’m not sure how to do this .

Answers

Answer:

A

Step-by-step explanation:

when you have this its asking for layers look at the shapes and you see what one matches

Answer:

A

Step-by-step explanation:

This is because this picture looks mainly like the isometric shape on the dot paper. In the other choices, you are clearly missing or adding some other part of the isometric shape.

Hope this helps!

Examine the following function. f(x)=8x2+2x−15 What are the factors of the function?

(4x−5)(2x+3)
(4x+5)(2x−3)
(4x−3)(2x+5)
(4x+3)(2x+3)

Answers

Answer:

(4x-5) (2x+3)

Step-by-step explanation:

(4x-5) (2x+3)

The factors of the function f(x)=8x²+2x−15 are (4x -5) and (2x + 3).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

We have the quadratic function,

f(x)=8x²+2x−15.

To find the factors:

8x²+2x−15,

= 8x²+ 12x - 10x −15

= 4x(2x +3) -5(2x +3)

= (4x -5)(2x + 3)

Therefore, the factors are  (4x -5) and (2x + 3).

To learn more about the quadratic function;

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1+1
Please, please, this is just to get to 20 words. lol

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

your welcome :}

The random variables X and Y are jointly continuous, with a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,otherwise, where c is a normalizing constant. For x∈[0,0.5] , the conditional PDF fX|Y(x|0.5) is of the form axb . Find a and b .

Answers

Answer:

The value of a and b are 8 and 1 respectively

Step-by-step explanation:

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 , \text{otherwise}\end{matrix}\right.[/tex]

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1\\\\c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1\\\\\frac{c}{2}\int_{0}^{1}x\left ( 1-y^2\right )\text{dx}=1\\\\\frac{c}{2}\int_{0}^{1}(x-x^3)\text{dx}=1\\\\\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1\\\\\frac{c}{2}\left [ \frac{1}{2}-\frac{1}{4} \right ]=1\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1\\\\c=8[/tex]

Conditional pdf of [tex]f_{x,y}(x|0.5)[/tex]

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

Normalizing pdf of 1

[tex]f_{y}y=\int_{0}^{y} 8yx \text{dx}[/tex]

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\\f_{y}y=4y(y^2)\\f_{y}y=4y^3\\f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}=\frac{2x}{0.25}=8x[/tex]

We are given that PDF [tex]f_{x|y}(x|0.5)[/tex] is of the form [tex]ax^b[/tex]

So, on comparing 8x with [tex]ax^b[/tex]

So, a = 8 , b = 1

So, the value of a and b are 8 and 1 respectively

The resulting value of a and b given  the conditional PDF of fX|Y(x|0.5) is mathematically given as

a = 8 , b = 1 .

What are the values of a and b?

Question Parameters:

a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,

For x∈[0,0.5]

the conditional PDF fX|Y(x|0.5)

Generally, the equation for the function of (x,y)   is mathematically given as

[tex]f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 ,\end{matrix}\right.[/tex]

Therefore

[tex]\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1[/tex]

[tex]c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1[/tex]

[tex]\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1[/tex]

[tex]\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1[/tex]

C=8

Where, the conditional PDF fX|Y(x|0.5)

[tex]f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}[/tex]

We have

[tex]f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\[/tex]

[tex]f_{y}y=4y^3[/tex]

[tex]f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}[/tex]

f_{x|y}(x|0.5)=8x

In conclusion. with the pdf in the form of ax^2

8x comparing ax^b

The value of a = 8 , b = 1 .

Read more about Arithmetic

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Simplify 3{[3(9 – 2)] + [7(8 – 1)]}

Answers

Answer:

210

Step-by-step explanation:

Use the order of operations pemdas( parenthesis, exponent, multiply, divide, add, subtract)

first do everything within the parenthesis.

3 ( ( 3 (9-2) ) + ( 7 (8-1) ) )

3 ( ( 3 (7) + ( 7 ( 7 ) ) )

3 ( ( (21) + (49) ) ) )

3 ( ( 21 + 49 ) )

3 ( 70 )

3 (70) = 70 + 70 + 70 = 140 + 70 = 210

whats 10 to the power of 9 as a decimal

Answers

Answer: 1,000,000,000

10⁹ cannot be written in decimal form.

Plz mark brainliest:)

What do you do when you crashed your mom's SUV into a lake and you cannot get out and your slowly sinking? Please respond quick because the water is already up to my knees

Answers

Answer:

try breaking the windows when the car is submerged so pressure can break the windows and then you can hopefully swim through the windows.

Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What was the total amount of chains bonus?

Answers

Answer:

b = $4000

Step-by-step explanation:

Let b represent the bonus amount.

Then the bonus, b, less the three deductions, is represented by

b - 0.30b - 0.30b - 025b, and this comes to $600.  Find the value of b.

b - 0.85b = $600, or

0.15b = $600

Then b = $4000

Find the value of x.

Answers

Answer:

x=21

Step-by-step explanation:

180-126=54

54-12=42

42/2=21

x=21

A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that

Answers

160 animals are sick

Answer:

160 animals

Step-by-step explanation:

Without multiplying, determine the sign of the product (−247,634) × (183,758).

Answers

————————————————————————————
The sign of the product will be negative

I need help! Find the equation of a line parallel to 3x-3y=5 that contains the point (-1,-5). Write the equation in slope Intercept form.

Answers

the equation of the line is y= x-4

Step-by-step explanation:

so so the first thing that you're going to do is get y alone

-x-5=y

next you're going to find your slope which in this case is negative one.

after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.

so in this case the reciprocal is one.

next you're going to substitute in the cordinates to find the y intercept

x+b=y. (-1)+b= -5. (. b is the y intercept)

b= -4

Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal. Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.)

Value Grocery Mart:
Number of Boxes of Crackers
3
6
9
12
Cost (in dollars)
5
10
15
20

Answers

Answer: value grocery store

Step-by-step explanation: Because when you divide all the numbers by each other your gonna get 0.6 .

The same popular crackers are on sale at Value Grocery Mart and Market City for 5.25, 10.5, 15.75, and 21 cents.

What are the differences between chart and tabular forms?A chart is one that displays data using symbols such as bars in a bar chart, columns in a line chart, or slices in a pie chart. A chart can represent tabular numerical data, functions, or specific types of quality structures to convey a variety of information.Using a tabular form and a single page, users can change multiple rows and columns in a table at the same time.A chart displays data in the form of a table, graph, or diagram. It can convey vast amounts of information in a variety of ways.

As the cost per pack is C=1.75b. C is the Cost in dollars.

3 × 1.75 = 5.25

6 × 1.75 = 10.5

9 × 1.75 = 15.75

12 × 1.75 = 21

Here, the table is given below

The complete question is:

Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers

To learn more about chart and tabular forms, refer to:

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Answer please thanks for answer ​

Answers

Answer: 15.8

In this number, .8 is the tenths place. So round it to this number.

.839 rounded to nearest tenth = .8

Your result should be 15.8.

15.839 rounded to the nearest tenth is 15.8.

What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4? (1 point)

Answers

Answer:

2

Step-by-step explanation:

first write out the expression

(2 ^ 2)×(2^3)/(2^4)

using bodmas we deal with the division sign first as well as using the laws of indices. Thus we have

(2^2)×(2^[3-4])

= (2^2)×(2^-1)

=(2^[2+(-1)])

= (2^(2-1))

= (2^1)

= 2


Mary drives for Uber. Uber charges a $3 flat rate plus $0.30 per mile driven.
What is the CONSTANT here? *
(1 Point)
$3
Uber
$0.30
$3.30

Answers

Answer:

$3.00 is the constant

Step-by-step explanation:

let x be the mile driven then

total charge=$3.00+[x($0.30)]

Find the solution to the equation.

4(x + 7) = 38 i need it ASAP plzzz

Answers

Answer:

x = 2.5

or

x = 1/4

Step-by-step explanation:

watch the following steps:

4x + 28 = 38

4x = 38 - 28

4x = 10

x = 2.5

or

x = 1/4

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

2.5, maybe

Step-by-step explanation:

distribute 4 into x and 7

subtract 28 from both sides (28-28, 38-28)

divide 4 and 10

2.5

it seems odd...

Complete the following equation;

Y=k?

Answers

Yes................?

Graph the line passing through (4,−1) whose slope is m=43.

Answers

I can’t really graph it, but I will tell you the points on the graph. The points are (5,42). Hope this helped :D

Henry recorded how many pounds of fruits and vegetables his
family bought during the past two months.

Answers

ok

uibciuendsjdddddddddddddddddddddddddddddddddddddddddddddddddddddddddfffffffffffffff

The required answer is,

A) The weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

B) The weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

What is rounding of digit?

Rounding is a process to estimate a particular number in a context.

To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.

Now the given weights in pounds of the fruits are,

Apple = 2.068

Blueberries = 1.07

lemons = 1.031

Orange = 3.502

Peaches = 2.608

Pears = 3.592

The given weights in pounds of the vegetables are,

Asparagus = 2.317

Beats = 1.862

Celery = 1.402

Corn = 2.556

Potatoes = 3.441

Red onions = 1.863

Now picking the 4 fruits,

Apple = 2.068

Blueberries = 1.07

lemons = 1.031

Orange = 3.502

To round the weight to the nearest 0.1 pounds we see the digit at 0.1 place, if the digit right to the 0.1 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.

Thus,here we get

2.068 = 2.1

1.07 = 1.1

1.031 = 1.0

3.502 = 3.5

Thus, the weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

Now picking 4 vegetables,

Asparagus = 2.317

Beats = 1.862

Celery = 1.402

Corn = 2.556

To round the weight to the nearest 0.01 pounds we see the digit at 0.01 place, if the digit right to the 0.01 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.

Thus,here we get

2.317 = 2.32

1.862 = 1.86

1.402 = 1.40

2.556 = 2.56

Thus, the weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

The required answer is,

A) The weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

B) The weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

To learn more about rounding of digit :

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3+3+3
Please Help....

Answers

Answer:

9

Step-by-step explanation:

3+3+3= 9 or you could just do 3x3
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