Explain why when multiplying powers you add rather than multiply the exponents.

(a) The percentage of discounts for manufacturers A and B is 32.92% and 31%, respectively.

(b) The Home Depot should buy from manufacturer A.

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Answer:

0.156

Step-by-step explanation:

P(A & B) = P(A) * P(B)

P(Yankess score less than 5 and lose) = P(score less than 5) * P(lose)

0.39 * 0.4 = 0.156

yes,  the square box song big enough to fit the pizza inside.

what is square?

A square is a regular quadrilateral , which means that it has four equal sides and four equal angles.

we have that,

the diameter of the pizza is

D = 10 1/3in

the wide of the square box is

b=10.38in

we know that  

for the pizza to fit inside the box ,it must be fulfilled that

D ≤ b

convert 10.38 in to fraction number

10.38 (100/100)= 1.038/100=519/50

convert 101/3 in to an improper fraction

10 1/3 = 10+3+1/3=31/3

multiply the diameter of the pizza by 50 both numerator and denominator =31+50/50+3= 1.550/150 in

multiply the wide of the box by 3 both numerator and denominator 1.550/150in ≤ 1.557 /150 in

therefore

the pizza fit inside the box .

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The pairs of angles that are alternate interior angles will be angle 6 and angle 8.

When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.

Angles that are exterior to the lines, have different vertices, and sit on different sides of the transversal are referred to as alternate exterior angles. In other words, eight angles are created when a transversal intersects two parallel lines.

These van be illustrated in angle 6 and 8

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Lines l and m are parallel. Which of the following pairs of angles are alternate interior angles? ∠1 and ∠4 ∠2 and ∠3 ∠6 and ∠8

The tax deduction Katie paid for that week will be $78.5.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Katie earns $549 each week working her full-time job. Her employer has a 14.3% tax deduction on all monies earned each week.

The deduction will be calculated as follows:-

Deduction = ( 549 x 14.3 ) / 100

Deduction = 7850.7 / 100

Deduction = $78.50

Therefore, the tax deduction Katie paid for that week will be $78.5.

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Minh can use unitary method to determine how many cans he will need in all to paint the 12 rooms, which will give a total of 8 cans as requirement. The tools he'll need for the same are : counters, pencil and paper.

In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple.

How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units.

This is typically how the concepts of ratio and proportion are used. The unitary method entails calculating the value of a single unit before calculating the value of the required number of units.

Given, He requires 2 paint cans to paint 3 rooms.

Once more, he will require 2/3 of a can of paint to paint 1 room.

He will thus require cans of paint to paint 12 rooms, which equals (2/3)*23 = 8.

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The definition of the slope can be interpreted by the following formula.

selcect two points from the graph

(0,-2)

(0,-4)

replace the points into the formula

Since any number divided by 0 is indetermined, the slope of the line is undefined.

Assuming that the scores on the first exam are a representation for the ones in the second exam, we will see that the probabilities are:

First we want to get the probability that a randomly selected student gets better than a C on the second test.

We assume the percentages for the first test can be applied for the second, so, the ones that got better than a C on the first exam are:

A: 12%

B: 28%

Then the probability is:

P( more than a C) = 12% + 28% = 40% (or 0.40 in actual probability notation)

b) Now we want to find the probability of fail.

The percentage that failed the first test is:

100% - 12% - 28% - 41% - 11% = 8%

So 8% of the students failed the first exam, this means that the probability that a randomly selected student fails the second exam is:

P = 8% or 0.8 in decimal notation.

C) 12% of the students tgot an A, so the probability that a randomly selected student does not get an A is:

P = 100% - 12%  =88%

or 0.88 in decimal notation.

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The value of x coordinate be 0 or -2.

Given,

Vertex of the graph, f(x) = x² + 2x + 2

We have to find the x coordinate.

Here,

f(x) = x² + 2x + 2 is in the form of quadratic equation.

So, we can find x coordinate by using quadratic formula.

Quadratic formula: [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Here,

a = 1, b = 2 and c = 2

So,

[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

= [tex]\frac{-2(+-)\sqrt{2^{2}-4(1)(2) } }{2(1)}[/tex]

= [tex]\frac{-2(+-)\sqrt{4-8} }{2}[/tex]

= (-2±(-√4)) ÷ 2

= (-2±(-2)) ÷ 2

Solve for.

-2 + (-2) / 2 = -2 -2 / 2 = -4/2 = -2

Solve for,

-2 - (-2) / 2 = -2 + 2 / 2 = 0

That is,

The value of x coordinate be 0 or -2.

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Given the information, we have the following:

Now, since AC=15, we have the following expression:

Solving for x we get:

Therefore, x=-6

Answer:

all the number to the left of -12 on a number line.  -12 is not a solution.  If we were graphing this, we would have an open circle above -12 on a number line and the dark ray points to the left of -12

Step-by-step explanation:

The two numbers are:

The greatest common factor is the product of common factors.

Since we see that P is a point on the perpendicular bisector, l, of MN, we have proven the required PM = PN by the definition of reflection, we can conclude that point P is the image of itself , while point N is the image of M .

We are given :

P is a point on the perpendicular bisector, l, of MN.

Now, we want to prove the assertion that PM = PN

A Reflection is defined as a transformation in which a given figure is the mirror image of the other. This means that every point on the new image is a mirror reflection of itself .

From the question, we can say that by the definition of reflection, we can conclude that point P is the image of itself , while point N is the image of M .

The perpendicular bisector, l is acting as a Line of symmetry which is also called axis of reflection.

Now, due to the fact that reflections preserve lengths in transformation,  it means that we have; PM = PN.

Therefore, we see that point N is the image of M .

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Answer:

Point M

Step-by-step explanation:

Division is opposite of multiplication. If 3 groups of 4 make 12 in the multiplication, 12 divided into the 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in the each group when sharing fairly.

In divisions involving fractions, numerator is called the dividend while the denominator is called the divisor while the answer is called the quotient.

Now, when Dividing decimal by a whole number, it means the decimal is the numerator while the whole number is the denominator.

The first step is to estimate quotient by approximating the dividend and divisor to the nearest compatible numbers. For example; 6.5/9

The nearest compatible number for numerator is 6 while for the denominator it is 10. Thus, we have;

7/10 = 0.7

Second step is to perform division with original numbers. This gives us;

6.5/9 = 0.722

Third step is to compare the both answers to see if our estimate makes sense.

Using compatible numbers gave us quotient of 0.7 while the normal division gave us a quotient of 0.722

Since both the quotient are very close, then it means our estimated quotient is okay.

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The slope of a line containing P1(3, 7) and P2(6, 9) is 2/3.

Slope, also called as gradient of a line is a value or number that describes both of the directions x and y. It basically tells the steepness of the line.

To find the slope of line, formula given below is used

[tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex] = slope

Here, y2 = 9

          y1 = 7

          x2 = 6

          x1 = 3

Thus, 9 - 7/6 - 3

= 2/3

Therefore, we can conclude that the  slope of a line containing P1(3, 7) and P2(6, 9) is 2/3.

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Answer:

  see attached

Step-by-step explanation:

You want to finish filling the given 2-way table.

Any single missing value in a row or column will be the value that makes the total correct for that row or column. Filling the single missing values will fill enough of a row or column with two or more missing values so that the remaining missing values can be filled the same way.

It is basically a series of subtraction problems.

For example, the upper left cell is filled with 20 -4 = 16, so the total on that row is 16+4=20.

Now multiply 176 by 60 and that is the answer, Khalil :=)

Answer:

6 and 2

Step-by-step explanation:

Let the first and second numbers be x and y respectively.

x = 4 + y..... (1)

2x = 4 + 4y...... (2)

Using the substitution method from Eqn(1) into (2)

Anywhere we see x in Eqn(2) we substitute it with 4 + y

I. E. 2(4 + y) = 4 + 4y

8 + 2y = 4 + 4y

Collect like terms.

8 - 4 = 4y - 2y

4 = 2y

.: y = 2

Put y = 2 in Eqn(1), and we have;

x = 4 + 2

x = 6.

.: the first number is 6 and the second number is 2.

Option C is correct.

Answer:

SOLUTION

TO CHOOSE THE CORRECT

OPTION

Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function

(a) 8

(b) 6

(c) -3

(d) 1

CONCEPT TO BE IMPLEMENTED

FUNCTION

Let A and B are two non empty sets. A Mapping (function ) f from A to B is a rule that assigns to each element x of A a definite element y in B

EVALUATION

Here the given relation

R = {(6,4), (8,-1), (x,7), (-3,-6)}

Take A = {6,8,x,-3}

B={-6, -1, 4,7}

In order to satisfy all requirement for R to be mapping is R will have to assign to each element x of A a definite element y in B

Since R has mapped 6, 8, -3 already

So R can not map 6, 8, - 3 again

So R can not be any of 6, 8, - 3

.'. X = = 1

FINAL ANSWER

The correct option is (d) 1

1. . A relation R in the set of real numbers R defined as R = {(a,b): √a = b} is a

function or not. Justify

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2. Let R be a relation on a collection of sets defined as follows,

R={(A,B)|ACB}

Then pick out the correct statement(s).

We can conclude that (B) 13 : 8 is the ratio of Rye bagels to Plain bagels.

So, the ratio of Rye bagels to Plain bagels:

Then,

Therefore, (B) 13 : 8 is the ratio of Rye bagels to Plain bagels.

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The correct question is given below:

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Number of ways to select five city commissioners from a group of eighteen candidates is equal to 8568.

As given in the question,

Total number of candidates = 18

An election ballot asks voters to select five city commissioners from 18 candidates

Number of ways to select 5 city commissioners from a group of 18 candidates

= ¹⁸C₅

= ( 18!) ) / (5!)(18 - 5)!

= (18!) / (5!)(13!)

= ( 18 ×17×16×15×14×13! ) / ( 5×4×3×2×1 )( 13! )

= 8568

Therefore, number of ways to select five city commissioners from a group of eighteen candidates is equal to 8568.

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The speed from City A to City B is 352 miles/hour.

Given:

Distance for trip = 1600 miles

Distance for return trip = 1600 miles

The round-trip took 8 h 20 min.

Total time taken for both trips = 8 hours 20 minutes = 8 + (1/3) hours = 25/3 hours

It is mentioned that on the return trip, the average speed was 20% faster than the outbound speed.

Let's assume x is the speed for an outbound trip.

So, x + 20% of x is the average speed of the return trip

x + 20% of x = x + 0.2x = 1.2x

Speed for the return trip = 1.2x

Total time = (distance/speed of outbound trip) + (distance/speed of return trip)

⇒ [tex]\frac{25}{3} =\frac{1600}{x} +\frac{1600}{1.2x}[/tex]

⇒ [tex]\frac{25x}{3} =\frac{1600*1.2 +1600}{1.2}[/tex]

⇒ [tex]10x = 3520[/tex]

⇒ [tex]x = 352[/tex]

Therefore, the speed from City A to City B is 352 miles/hour.

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A relationship between two quantities that is typically stated as the product of their respective quotients.

The ratio of red to blue marbles, or 6:4, is, for instance, 6:4 if a box contains six red and four blue marbles. Decimal or percentage expressions of ratios are also possible. This implies that there would be 10 children for every 16 adults.

The number of children there would be for 40 adults can be calculated by dividing 40 by 16, then multiplying the result by 10.

40/16=2.5

2.5×10=25

25 kids.

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Please, let me know if you have any question anytimeGiven:

mean = μ = 8

standard deviation = σ = 0.7

random value = x = 9

Then, the formula to calculate the z score is given by:

Substitute the values:

Answer: 1.4

The required quotient is 6.5625 when -5 2/8 is divided by (-4)/5.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

The quotient is given in the question:

-5 2/8 ÷ (-4)/5

-(42/8) / (-4)/5

Reciprocal the term in the denominator

-(42/8) × -(5)/4

210/32

6.5625

Therefore, the required quotient is -5 2/8 ÷ (-4)/5 = 6.5625.

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we have the expression

Rewrite as equivalent rational expressions with denominator (3x-8)(x-5)(x-3)

In this problem

3x^2-23x+40=3(x-5)(3x-8)

so

Multiply by (x-3)/(x-3)

Part 2

we have the expression

we have that

3x^2-17x+24=3(3x-8)(x-3)

so

Multiply the expression by (x-5)/(x-5)

Answer:

$5,919.75

Step-by-step explanation:

What is Annual Compound Interest?

Annual compound interest is represented by this formula:

[tex]A = P ( 1 + \frac{r}{n}) ^{(n)(t)}[/tex]

You have been giving all the information needed to solve this equation, so plug in what you have. and solve for A.

[tex]A = (2000)( 1 + \frac{0.11}{4} )^{(4)(10)}[/tex]

[tex]A = (2000) (1.0275)^{40}[/tex]

[tex]A = (2000) (2.9598739872)\\[/tex]

[tex]A = 5919.74797[/tex]

Round your answer to the nearest hundred, and the account balance after 10 years should be $5,919. 75