Jenny has a new box of 8 colored pencils. Each one is perfectly sharpened. Together the colored pencils have a mass of 56 grams
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Answer: (-6, - 6)

Step-by-step explanation:

Here we have two transformations, and the first step will be to explain those transformations:

Reflection over the y-axis.

For a function f(x), the reflection over the y-axis is written as:

g(x) = f(-x)

Then if we initially had a point (x, y), the transformed point will be (-x, y).

Vertical translation.

We can define a vertical translation of N units as:

g(x) = f(x) + N

if N > 0, the translation is up.

If N < 0, the translation is down.

Then if we start with a point (x, y), the transformed point will be (x, y + N)

In the case of this problem we have g(x) = f(-x) - 3

This means that N = -3

Then if we initially had the vertex at the point (6, - 3)

The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:

(-6, -3 - 3) = (-6, - 6)

The vertex of the resulting  parabola will be (-6, -6)

Given the function y= f(x), plotted on a graph and the vertex of the resulting

parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:

To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]

[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]

Hence the vertex of the resulting  parabola will be (-6, -6)

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Explanation

Rule:  The longest side of any triangle is always opposite the largest angle.

Angle T = 98 is the largest angle, so the longest side is SU since it is opposite angle T.

Refer to the diagram below.

Answer:

A

Step-by-step explanation:

The solution is solved using Equalization methods.  Hence the answer to A is such that y= -2 and x = 12

The Equalization method refers to a method whereby a quantity that is unknown in two equations is isolated and equated.

The solution to equation one is thus given below:

[tex]\{ \mathrm{}_{x + 3y = 6}^{2x + 5y = 16}[/tex]

Step I - Isolate any two variables.

In this case, we will isolate x. Hence we will have:

2x + 5y  = 16 → x = (16 - 5y)/2   .............................1

x + 3y    = 6 → x   = (7 - 3y)         .............................2

From 1 and 2 above, we can see that both equations are now equal to x, Using the principle of transitivity, we can state that:

Since both formulas are now equal to x, therefore:

(16 - 5y)/2 = (7 - 3y)...............................3

Simplifying and collecting like terms from 3 above, we now have:

(16 - 5y) = 2(7 - 3y)

that is 16 - 5y = 14-6y

This will give us:

6y-5y= 14-16

y = -2

Step II -  Substitute Y into any of the original equations to get x.

Recall that we have x + 3y = 6

Therefore, x = 6-3y

That is x = 6-3(-2)

x = 6 + 6 = 12

Hence, for Equation A, x = 12; y = -2

Equation B:
Using the same method, we arrive at: x =45; and y = -3

Equation C:
Using the same method, we arrive at: x = 2; and y = 0

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Answer:

192 hours

Step-by-step explanation:

24 hours = 1 day

8 x 24 = 192

Answer:

B

Step-by-step explanation:

Bc dont take my word repost this

Answer: The answer is 207.4 for the interest

Step-by-step explanation:

766.85 - 559.45= 207.4

The answer 207.4 is the amount of interest on Thayne's credit card bill.

We can find this answer by subtracting the amount of charges from the total bill amount.

Total bill amount = $766.85

Amount of charges = $1118.9

Amount of interest = $766.85 - $1118.9 = $207.4

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Answer:

here,

v-5/6=-7/8

v=-7/8+5/6

v= -1/24

Answer:

The answer is C

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

the correct answer is a

The correlation between the ages of husbands and wives if men always married woman who were :

(a) 3 years younger than themselves

Therefore, the correct answer is a.

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Answer:

Well, I've got the first 3, but I don't think those were the ones you needed help with...

1) (3, 35), (4, 30), (5, 25)

2) (1, 27), (5, 32), (9, 37)

3) (24, 25), (17, 19) (-11, -5), (-18, -11)

Step-by-step explanation:

1) x+1, y-5

2) x+4, y+5

3) x-7, y-6

Answer:

hbrfhjbwfjbrh

Step-by-step explanation:

ewjhfwh

Answer:

b

Step-by-step explanation:

Answer:

Students understand the value of a ratio A: B is A/B. ... If two ratios are equivalent, they have the same value. Grade 6, Module 1, Lesson 8: Classwork. Recall that when given a ratio A: B, where B ≠ 0, we call the quotient, A/B, the value of the ratio.

Step-by-step explanation:

For example, the most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

Answer:

60 degrees sorry if its wrong

Step-by-step explanation:

Answer:

Option C.

a = 20.3

Step-by-step explanation:

Given:

m<A = 32°

a = ??

b = 16

c = 32

Required:

Find a

SOLUTION;

To find the missing side, a, of the triangle, apply the Law of Cosines, [tex] a^2 = b^2 + c^2 - 2bcCosA [/tex]

Plug in the values into the equation:

[tex] a^2 = 16^2 + 32^2 - 2(16)(32)Cos32 [/tex]

[tex] a^2 = 1,280 - 1,024*Cos32 [/tex]

[tex] a^2 = 1,280 - 868.40125 [/tex]

[tex] a^2 = 411.59875 [/tex]

[tex] a = \sqrt{411.59875} [/tex]

[tex] a = 20.3 [/tex] (nearest tenth)

Answer:

w = 23/4

Step-by-step explanation:

w + 1/4 = 6

w = 6 - 1/4

w = 23/4

Answer: 500.7

500.75 = 500.7

Step-by-step explanation:

The estimated value is 500

Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').

Given that, 9965 divided by 19.9 estimate

Let 9965 ≈ 9970

19.9 ≈ 20

9970 ÷ 20

9970 / 20

= 498.5

≈ 500

Hence, the estimated value is 500.

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Answer:

JK=104°

KIJ=52

Step-by-step explanation:

The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and  ∠KIJ = 52°

We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.

Angle KJI = arc KI/ 2

Thus;

Angle KJI = 116°/2

Angle KJI = 58°

Now by angle sum property of a triangle, we get:

∠ K + ∠ I + ∠ J = 180°

70° + ∠I + 58° = 180°

∠I = 52°

By using intercept formula, we get arc KJ;

∠JIK = arc JK/ 2

2(∠ JIK) = arc JK

2(52°) = arc JK

arc JK = 104°

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It’s 00.9

Step-by-step explanation: I just took the test I know

Answer:

B. 0.10

Step-by-step explanation:

i think

Answer:

36 to 12

Step-by-step explanation:

subtract 12 from 48 an you get 36 girls

Answer:

there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12

Step-by-step explanation:

Answer:

44 members

Step-by-step explanation:

Because to find out the number of members first you have to find out the number of boys in choir

Divide total number of girls (32) by ratio number (8) and you get 4

Multiply the 4 you got by the ratio of boys (3), you get 12 when you multiply these together

Add the total number of boys in choir (12) and number of girls (32) and you get 44 members!

Good day to you and I hope you like my explination.

Answer:

C

Step-by-step explanation:

Mean = 28

S = 3.5

N = 7

We use the t distribution here.

Level of significance = 99%

Degree of freedom = 7-1 = 6

Using the t table at 99%, and df of 6

T' = t tabulated = 3.7

Confidence interval =[ (mean - t's)/√n , mean + t's)/√n]

= 28-3.7*3.5/√7 , 28+3.7*3.5/√7

= 23.11, 32.89

When approximated

= 23, 33 after rounding to the nearest integer

Therefore option c is the answer

Answer:

the answer is C- 6.53 inches

Step-by-step explanation:

Answer and equation: If we choose two whole numbers; 8 and 10

We want to divide certain numbers by 8 and 10 to get 9 remainder 5.

In this case; 77 divided by 8 is equal to 9 rem 5

and 95 divided by 10 is equal to 9 rem 5

To justify which is greater, we use decimal division;

= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)

and

= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)

Therefore; the first case is greater since 9.625 is greater than 9.5

That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.

Answer:

80 pgs per hour

Step-by-step explanation:

480 divided by 6 = 80

Answer: 7.36

Step-by-step explanation:

16/100 = 0.16

0.16 * 46 = 7.36

Answer:

5600000000000⁰

00988

The answer you will be dividing by is 4. hope this helps