What is the relationship between multiplying and factoring? You multiply numbers or expressions to produce a (select). You factor a product into the numbers or(select)that were multiplied to produce it.

Answer:

185 R10 (185.21)

Step-by-step explanation:

The real square roots of 0.0036 will be A 0.06 and -0.06.

The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."

It should be noted that this is a component of a number that yields the original number when multiplied by itself

The square root will be illustrated as:

= ✓0.0036

= 0.06 and -0.06

Therefore, the correct option is A.

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The volume of cylinder is 1152π cm³.

What is volume?

Volume is a measurement of three-dimensional space that is filled. It is frequently mathematically quantified using SI-derived units (such as the cubic metre and litre) or other imperial units (such as the gallon, quart, cubic inch). Volume is connected to the notion of length (cubed). The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space that the container occupies. Volume was measured in ancient times using similar-shaped natural containers and, subsequently, standardized vessels. The volume of several simple three-dimensional forms may be easily computed using mathematical methods.

Radius of a sphere = 6 cm

Volume of a sphere = (4/3)πr³ = (4/3).π.6³ = 288π cm³

Therefore, volume of cylinder = 288π x 4 = 1152π cm³

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Answer:

-6

Step-by-step explanation:

First using the point slope form to find the equation for the line.

y -y1 = m (x-x1)

you plug in the given x and y values (7, 8)

which gives you y - 8 = 7(x-7)

isolate for y: y=8+7(x-7)

Now plug in 5 into the equation you got to solve for f

y = 8 + 7 (5-7)

y = 8 + 7(-2)

y = 8 - 14

y = -6

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The inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week is 5ww + 11tt ≥ 85.

Amount earned by Addison per hour in washing cars = $ 10

Amount earned by Addison per hour in tutoring = $ 22

Minimum amount Addison must earn this week = $ 170

We have to find an inequality  that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Addison can work in a given week.

Based to the data given in the question, we can write the inequality,

10ww + 22tt ≥ 170

Dividing the inequality by 2, we get

5ww + 11tt ≥ 85

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7/11, and 63/99 = .636363636 [repeating]

Answer: 25/42

Step-by-step explanation. hope it helps

Isaac will buy 2 pints and 1 cup of strawberry puree if he wants to buy exactly three bottles.

Given that:-

Quantity of strawberry puree Isaac needs = 3 quarts

Quantity of strawberry puree Isaac already have = 1.75 quarts

Also,

Strawberry puree is available in bottles of 1 pint and bottles of 1 cup.

We have to find the number of bottles each of pint and cup will Isaac need if he want to buy exactly in 3 bottles.

We know that,

1 pint = 0.5 quarts

1 cup = 0.25 quarts

Quantity of strawberry puree needed to be bought = 3 - 1.75 = 1.25 quarts.

Let the number of bottles of pint be x and,

The number of bottles of cup be y

Then, we can write

0.5x + 0.25y = 1.25  ...(1)

x + y = 3  ... (2)

Solving the linear equations in 2 variable by elimination method, we get

Multiplying (1) by 2, we get,

x + 0.5y = 2.5  ...(3)

(2) - (3)

0.5y = 0.5

y = 1

As, x + y = 1

x = 2.

Hence, Isaac will buy 2 pints and 1 cup of strawberry puree.

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Answer:

0.5 repeating

Step-by-step explanation:

This is because any fraction with a denominator of 9 is a repeating decimal.

[tex] = \frac{1}{ ({5b})^{4} } \\ = \frac{1}{ {5}^{4} b^{4} } \\ = \frac{1}{625b^{4} } [/tex]

ATTACHED IS THE SOLUTION

Answer:

$2.24

Step-by-step explanation:

convert 8% to .08

next multiply that by the cost, 28

.8x28=2.24

If one student is picked randomly in the class, the probability of a student being long haired female is 9 out over 20 students.

Probability is defined as the ratio of outcomes that are more likely to occur than all other outcomes of an event. For an experiment with 'n' number of outcomes, the number of favorable outcomes can be denoted by the symbol x. To calculate the likelihood of an event, use the following equation.

Probability (event) = favourable outcomes/ total outcomes (x/n)

Let the number of students in a particular college be 100

Then, if 60% are female that means 60 students are girls (60/100 × 100)

Now, it is said that 75% of females have long hair, that means

75% of 60 girls have long hairs, if we calculate then we find that

⇒ 75/100 × 60

⇒ 3/4 × 60

⇒ 3 × 15

⇒ 45 girls are long haired

Now the probability of a female being longed hair is

⇒ favourable outcomes/ total outcomes

⇒ 45/100

⇒ 9/20

Thus, the probability of a student being long haired female is 9 out over 20 students.

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

Explanation:

The key states  [tex]7 \big| 4= 74[/tex]

It means that a stem of 7 and leaf of 4 combine to the value 74

We're interested in scores greater than 90, so we'll be focusing on the stems of 9 and 10 only

Stem9 has 6 leaves while stem10 has 1 leaf. That's 6+1 = 7 leaves total, which means we have 7 scores above 90. If there was a leaf of 0 for stem9, then we'd have to ignore it (since it forms the score 90). But we don't have to worry about that for this case.

The set of numbers that is correctly ordered from greatest to least is; option D:

_

We are given the numbers; 7¹/₃, 221/30,

_

7.36, 24√3π

Now, let us convert each number to decimal before we arrange in descending order;

7¹/₃ = 7.3333

221/30 = 7.3667..

_

7.36 = 7.3667...

2.4√3π = 7.3679

Thus, we can clearly see that 2.4√3π is the greatest while 7¹/₃ is the least and as such, the order is;

_

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Probability that a subscriber rented a car during the past 12 months for business or personal reasons is 0.676, while the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons is 0.324

Part a

Probability that a subscriber rented a car during the past 12 months for business or personal reasons:

P(Business or Personal)

= P(Business) + P(Personal) - P(Both)

= 0.456 + 0.54 - 0.32

= 0.676

Part b

Probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons:

P(Did not rent for business or personal)

= 1 - 0.676

= 0.324

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Answer:

B ,I think

Step-by-step explanation:

Answer: B

Step-by-step explanation: 35÷100=0.35

The distance between (-2 , -1) and (8 , 7) is:

= 12.81 units

Given two points (-2 , -1) and (8 , 7)

formula to find distance is,

         d=√((x2 – x1)² + (y2 – y1)²)

here, x1 = -2 , x2 = 8 , y1 = -1 and y2 = 7

by substituting the values ,

d = [tex]\sqrt{(8-(-2))^{2} + (7 -(-1))^{2}[/tex]

   = [tex]\sqrt{10^{2} + 8^{2} }[/tex]

   = [tex]\sqrt{100 + 64}[/tex]

    = [tex]\sqrt{164}[/tex]

    = 12.81 units

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Answer:

1. x = 3 and y = 1

2. 7 ; 4 (no solution)

3. x = 4 and y = 3

4. x = 10/9 and y = -7/9

5. (No Solution)

6. x = -4 and y = 2

7. x = 6 and y = 5

8. x = -4 and y = 7

9. x = -6 and y = -1

10. x = 5 and y = -2

your very welcome

Answer:

9

Step-by-step explanation:

Vertical angles are congruent, so:

[tex]16y=18y-18 \\ \\ -2y=-18 \\ \\ y=9[/tex]

The equation of parabola in the intercept form that passes through (0,-18) with x intercepts of 9 and 1 is y = -2(x-9)(x-1)  .

In the question,

it is given that ,

the parabola passes through (0,-18) and has x intercepts as 9 and 1 .

The intercept form of the equation of parabola is given by

y = a(x-p)(x-q)   , where a is the constant

and p , q are the x intercepts  .

Given that the parabola has x intercepts as 9 and 1 , So

equation becomes

y = a(x-9)(x-1)          .....(i)

Since parabola passes through the points (0,-18) ,

hence , point should satisfy the equation ,

So putting y = -18 and x=0 , we get

-18 = a(0-9)(0-1)

-18 = a(-9)(-1)

-18 = 9a

a = -2

Substituting a= -2 in equation (i) ,

we get the equation of parabola as y = -2(x-9)(x-1) .

Therefore , the equation of parabola in the intercept form that passes through (0,-18) with x intercepts of 9 and 1 is y = -2(x-9)(x-1)   .

The given question is incomplete , the complete question is

Write an equation of the parabola in intercept form that passes through (0,-18) with x-intercepts of 9 and 1 .

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The area of the triangle is 20.8 cm².

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Answer:

x = 4.5 and y = 3

Step-by-step explanation:

Area of a rectangle = length x width

= 12 (2x - y)

Area is given as 72

∴ 12 (2x - y ) = 72

Divide both sides by 12 =>

12/12 (2x - y) = 72/12

2x - y = 6    [1]

The kite perimeter is 33
Your equation is correct:
2(3x) + 2(y) = 33

=> 6x + 2y = 33   [12]

So we have two equations and we can solve them as follows

Multiply [1] by 2
2(2x -y) = 2 x 6

4x - 2y = 12          [3]

Coefficients of y in equations [1] and [2] are same but of opposite sign

Add [1] and [3]

    6x + 2y = 33
+
    4x  - 2y = 12

-------------------------
   10x + 0   = 45

=> 10x = 45

Divide both sides by 10

=> x= 45/10

x = 4.5

Substitute for x in equation [1]: 2x - y = 6

=> 2(4.5) - y = 6

=> 9 - y = 6

Subtract 9 from both sides

9 - 9 - y = 6 - 9

-y = -3

Multiply by -1 both sides
y = 3

Answer: x = 4.5 and y = 3

Answer:

Distance between coordinates is given as √(x1-x2)²+(y1-y2)², where x and y are the coordinates of the points.

Length of ST = √(-2-3)²+(4-9)²

= √(-5)²+(-5)²

= √25+25

= √50

= 7.07

= 7.1 (nearest tenth)

Answer:

x = 5

Step-by-step explanation:

8x + 7 = 2x + 37  Subtract 2x from both sides of the equation

6x + 7 = 37  Subtract 7 from both sides

6x = 30  Divide both sides by 6

x = 5

Or you could plug in 5 for x and solve.  If the equation is true, that is the answer

x= 5

8x + 7  = 2x + 37

8(5) + 7 = 2(5) + 37

40 + 7 = 10 + 37

47 = 47

If you try this with any other number, it will not equal.  Lets try x = 11

8x + 7 = 2x + 37

8(11) + 7 = 2(11) + 37

88 + 7 = 22 + 37

95 ≠ 59 so x does not equal 11

In order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

As given,

Consider two linear equations

a₁ x +b₁ y +c₁=0     _(1)

a₂ x +b₂ y +c₂=0    _(2)

Now to eliminate x variable equate coefficient of x with opposite sign

Multiply (1) by a₂ and (2) by a₁ and subtract to use elimination method

a₁ a₂ x + b₁ a₂ y + c₁ a₂=0

a₁ a₂ x +a₁ b₂ y + a₁ c₂=0

-          -            -          

0x + (b₁ a₂ -a₁ b₂)y +(c₁ a₂-a₁ c₂)=0

Therefore, in order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

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Answer:

See below

Step-by-step explanation:

Look at 100th place   if   it is ≥5   round the 10th place up by 1  o/w leave it alone

22.7

22.8

22.8

22.7

22.8

22.7

Answer:

4 liters

Step-by-step explanation:

6+4+6 = 16

16/4 = 4