A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?


Solve these problems any way you choose.

y = − 2 is a horizontal line that crosses the -axis at -2.

Now, According to the question:

Let's know:

What is Horizontal lines?

If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.

The given equation is Y = -2

y = 2 is a horizontal line that crosses the -axis at 2.

=>  y = − 2 is a horizontal line that crosses the -axis at -2.

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When the root of x²-bx+c = 0 is decreased by 2, the resulting equation is x²-2x+1, then b = 2 and c = 1

The values of variables satisfying the given quadratic equation are called its roots.

if the roots of a quadratic equation ax²+bx+c = 0 are alpha and beta

alpha + beta = -b/a and

alpha × beta = c/a

when the roots are reduced by 2

alpha-2+ beta-2 = -b/a

(alpha+beta)-4 = -b/a

alpha+ Bata = -b/a + 4

the resulting equation is x²-2x+1 = 0

a = 1, b = -2 and c = 1

therefore alpha +beta = -b/a = -(-2)/1 = 2

therefore 2 = -b/a+4

a = 1

2 = -b+4

b = 4-2 = 2

alpha×beta = c/a = 1/1

(alpha -2)× ( beta -2) = (alpha)( beta) -2(alpha+beta) + 4 = 1-2(2)+4 = 1

therefore b = 2 , c = 1

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Answer:

387 and 388

Step-by-step explanation:

775 / 2 = 387.5

387 and 388

Answer:

453

Step-by-step explanation:

To perform long division of 11,778 by 26, we follow these steps:

452

_____

26 ) 11,778

-104

------

157

156

----

21

Therefore, 11,778 divided by 26 is equal to 452 with a remainder of 21.

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Pam's piece rate is $16.67 for every pot she produces.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Pam's piece rate is the amount of money she earns for each pot she makes. In this case, she earned $250 for making 15 pots, so her piece rate is:

$250 ÷ 15 pots = $16.67 per pot

Therefore, Pam earns $16.67 for each pot she makes. This is a way of calculating her pay based on the number of units she produces, rather than by the hour.

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Answer:

15:18.75:26.25

Step-by-step explanation:

4:5:7

Total=16

60/16 = 3.75

4 x 3.75 = 15

5 x 3.75 = 18.75

7 x 3.75 = 26.25

15:18.75:26.25

Answer: $15 : $18.75 : $26.25

Step-by-step explanation:

4 + 5 + 7 = 16

4/16 × $60 = $15

5/16 × $60 = $18.75

7/16 × $60 = $26.25

Answer:

30 degrees - its been a minute since I done that type of math

Answer:

∠ A ≈ 53°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{12}{9}[/tex] , then

∠ A = [tex]tan^{-1}[/tex] ([tex]\frac{12}{9}[/tex] ) ≈ 53° ( to the nearest whole number )

Answer:

24

Step-by-step explanation:

(25-10) ÷ 5 × 8

15 ÷ 5 × 8

3 × 8

24

Answer:

24

Step-by-step explanation:

Any work inside parentheses must be done first:  (5^2 - 10).  Also:

Exponentiation is done before addition/subtraction:  5^2 - 10 = 25 - 10 = 15

 So now we have 15 / 5 * 2^3 and recognize exponentiation again:

                               15 / 5 * 8

Then, since multiplication and division have the same order of priority,

carry out the division in 15/5 and then multiply the result (3) by 8

to obtain 24 (final answer)

If triangle JKL is dilated by a scale factor of 3,cos(bº)=4/5.

Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

If you know the lengths of two of the triangle's sides, you can use trigonometric ratios to get the measurements of one (or both) of the acute angles.

tan(b)=P/B=3/4

sin(b)=P/H=3/5

cos(b)=B/H= To find

B=4, H=5

cos(b)=4/5

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Answer:

261.79

Step-by-step explanation:

V= 1/3 N r2 h

Answer:

False

Step-by-step explanation:

y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.

0 < -2(-1) - 2

0 < 2-2

0 < 0  

This is a false statement.                                                                                                                                                                                                                                                                  

Answer: A / No.

Step-by-step explanation:

     We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.

     Given:

y < -2x - 2

     Substitue:

0 < -2(-1) - 2

     Multiply:

0 < 2 - 2

     Subtract:

0 < 0 ✗

     0 is not less than 0, so this point is not a solution.

Answer:

Below:

Step-by-step explanation:

When finding the power of a power, simplify the expression by multiplying the exponents

[tex]a^{m^n} =m^m^n[/tex]

12^4^-5 = [tex]12^{4*-5[/tex][tex]=12^-20=\frac{1}{12^{20}}[/tex]

[tex](-3)^{72}[/tex]

Answer:

12/20 and 1/20.

Step-by-step explanation:

The least common denomiator between 3/5 and 1/20 is 20.

For the first equation, we multiply the numerator and denominator by 4 to get 12/20.

The second equation's denominator is already 1/20, so we can leave it as is.

The final answer is 12/20 and 1/20.

Answer:

2/3

Step-by-step explanation:

Slope = rise / run = 2 / 3

Because points A, B, C, and D are collinear (meaning on the same line), the slope for line segment AB is the same as the slope for segment DC.

Answer:

2/3.

Step-by-step explanation:

The 2 triangles are similar so their corresponding sides are in same ratio.

The sides BA and CD are collinear so theire slopes are the same.

Slope of BA = rise/run = 2/3 so slope of DC is also 2/3.

Answer:

1/2

Step-by-step explanation:

You are comparing ponies to sheep, so you put the ponies on top(3)

and the sheep on the bottom(6)

3/6 reduces to 1/2

There is no sufficient evidence at the 0.05 level to substantiate the publisher's claim

Note that the significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant

In conclusion, the advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%

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Answer:

50=2x-2

52=2x

26=x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The average age of 18 girls is 12.

Total age of girls:

The average age of 15 boys is 17

Total age of boys:

Total age of children:

Total number of children:

Average age of children:

The explicit formula of the sequence is aₙ = -10 + 8n

From the question, we have the following sequence that can be used in our computation:

The first term and the common difference

These values of the first term and the common difference are given as

First term = -2

Common difference = 8

The interpretation of the above sequence is that the 8 is added to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ + 8

When represented explicitly, we have

aₙ = a + (n - 1) * d

Where

a = -2 and d = 8

Substitute the known values in the above equation, so, we have the following representation

aₙ = -2 + (n - 1) * 8

Evaluate the products

aₙ = -2 + 8n - 8

Evaluate the like terms

aₙ = -10 + 8n

Hence, the explicit formula is aₙ = -10 + 8n

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need pointz

Step-by-step explanation:

The probability of Anna winning chances of buying 20 ticket out of 1500 tickets is  0.013.

Probability simply means possibility. It deals with how likely something is to happen.

Therefore,

p(A) = number of favorable outcomes to A / total number of outcome

Hence,

Number of ticket bought by Anna = 20

Total ticket sold = 1500

Therefore,

probability of the winning chances of Anna = 20 / 1500

probability of the winning chances of Anna = 2 / 150

probability of the winning chances of Anna = 1 / 75

probability of the winning chances of Anna  = 0.013

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Answer: I think 48 degrees

Step-by-step explanation: they are both diagonal

hope this helps, have a great day!! :D

Answer:

It is also 48

Step-by-step explanation:

1 and 3 are vertical to each other therefore their degree is both the same.

Answer:

44 div by 4 = 11

the answer is 11

Step-by-step explanation:

Answer:

answer is just a-5

Step-by-step explanation:

its is a-5 without absolute value

Answer:

a. Volume 120km^2

Surface area 168km^2

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

Surface area= 2(WL+HL+HW)

2×(4×6+6×6+6×4)

=168

The answer to 7 to the power of 2 is 49.

This is because when a number is raised to a power, it means that it is multiplied by itself that number of times. 7 to the power of 2 is 7 multiplied by itself 2 times, which is 7 x 7, which equals 49.

An expression known as "power" denotes the process of repeatedly multiplying a value or integer. An is often a power where n is the exponent and an is the base.

As an illustration, the power 63 demonstrates how three times the number 6 is multiplied.

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The scale factor of the two rectangles is 1.5

According to Euclidean Plane Geometry, a rectangle is a quadrilateral with equal opposed sides and four right angles. In other words, a rectangle is a parallelogram with a right angle of 90 degrees or an equiangular quadrilateral (i.e., 360°/4 = 90°). A rectangle is referred to as a square if its four sides are all the same length.

The ratio of the matching side lengths of two comparable figures is known as the scale factor. We know that the ratio of the respective side lengths of the two rectangles equals equivalent to r since Rectangle A and Rectangle B are similar to one another by the scale factor r.

We can set up the following ratio to determine the scale factor if the lengths of rectangles A and B are 1.5r+2.25 units and 3 units, respectively.

(1.5r+2.25) / 3 = r

Solving for r, we get:

r = (1.5r + 2.25) / 3

multiply both sides of the equation by 3

3r = 1.5r + 2.25

Subtract 1.5r from both sides

1.5r = 2.25

divide both sides by 1.5

r = 2.25/1.5

r = 1.5

Therefore, the scale factor of the two rectangles is 1.5.

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