Below is the number of service calls a store received over a period of 87 days.





To graph the information into a frequency table, which interval below would be the most appropriate?


A. 1

B. 2

C. 4

D. 10

Answer: first term = 6

Common difference = 2

Step-by-step explanation:

Eight term =a +(n-1)d = a +(8-1)d = a + 7d

Third term = a+(n-1)d = a + (3-1)d =a + 2d

a + 7d = 2(a + 2d)

a + 7d = 2a + 4d

7d - 4d = 2a - a

a = 3d

The fifth term is equal to 14. This is:

a + 4d = 14

Put the value of a into the equation here

3d + 4d = 14

7d = 14

d = 14/7

d = 2

Recall that a + 4d = 14

a + 4(2) = 14

a + 8 = 14

a = 14 - 8

a = 6

Answer:

The operation is commutative

Step-by-step explanation:

Operations

The * operation is defined on the set of real numbers R by

[tex]a * b=a^3+b^3-3ab[/tex]

For the operation to be commutative a*b should be equal to b*a.

Computing b*a:

[tex]b * a=b^3+a^3-3ba[/tex]

Rearranging:

[tex]b * a=a^3+b^3-3ab[/tex]

It's apparent that a*b=b*a, thus the operation is commutative

Answer:

2/3

Step-by-step explanation:

You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!

Answer:

2/3

Step-by-step explanation:

[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]

Answer:

D

Step-by-step explanation:

Sin(x)=25/35=5/7

=> x = 45.6

Answer:   y = f(x - 4) - 1, lower left corner

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

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

Answer:

m(∠KJL) = 54°

Step-by-step explanation:

It's given that two sides of ΔJKL are equal in measure.

Therefore, angles opposite to the equal sides will be equal.

By triangle sum theorem in ΔJKL,

m∠KJL + m∠KLJ + m∠JKL = 180°

2(m∠KJL) + 72° = 180°

2(m∠KJL) = 180° - 72°

m∠KJL = [tex]\frac{108}{2}[/tex]

m(∠KJL) = 54°

Answer:

x = [tex]\frac{b-7}{a-2}[/tex]

Step-by-step explanation:

Given

ax + 7 = 2x + b ( subtract 2x from both sides )

ax - 2x + 7 = b ( subtract 7 from both sides )

ax - 2x = b - 7 ← factor out x from each term on the left side

x(a - 2) = b - 7 ← divide both sides by (a - 2)

x = [tex]\frac{b-7}{a-2}[/tex]

Answer:

The answer is C

Step-by-step explanation:

Answer:

C. 10/17

Step-by-step explanation:

10/17 is less than the correct answer 1.7 so it is C.

Answer: say what now?

Step-by-step explanation:

Answer:

it'll take 6 years

Step-by-step explanation:

I =put

48= 400(.02) t

48= 8t

t= 6 years

Answer:

211.75

Step-by-step explanation:

179.99/.85=211.75

Answer:

y=3/2x+5

Step-by-step explanation:

Answer:

= 0.2 pound per day

Step-by-step explanation:

This is a fraction equal to

1 pound ÷ 5 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 5

1 pound ÷ 5

5 days ÷ 5

=  

0.2 pound

1 day

=  

0.2 pound

day

= 0.2 pound per day

Answer:

2x+8-2y

Step-by-step explanation:

4x-2x+5+3-2y

2x+8-2y

Answer:

There you go!!

Step-by-step explanation:

4x - 2x - 2y + 3 + 5

Answer

The answer is 32

Step-by-step explanation:

32/8=4

Answer:

b = 32

Step-by-step explanation:

b/8 = 4

Multiply each side by 8

b/8 * 8 = 4*8

b = 32

Answer:

40/140 ≈ 0,2857 corresponds 28,57%.

Answer:

12 minutes

Step-by-step explanation:

Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes

Answer:

1 mile in 12 minutes

Step-by-step explanation:

2/3 mile in 8 minutes

divide by 2

1/3 mile = 4 minutes

multiply by 3

1 mile in 12 minutes

Answer:

2. When substituting x=2 and y=1 into the equation, you get a true statement.

Hope this helps you.

Given:

The two points on a coordinate plane are C(-5,-1) and D(0,3).

To find:

The distance between C and D.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between C(-5,-1) and D(0,3) is

[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]

[tex]CD=\sqrt{25+16}[/tex]

On further simplification, we get

[tex]CD=\sqrt{41}[/tex]

[tex]CD=6.40312424[/tex]

[tex]CD\approx 6.40[/tex]

Therefore, the distance between C and D is 6.40 units.

Answer:

23 and 13

Step-by-step explanation:

can you help me with my latest answer too??i'm on a time limit rn

Answer:

Step-by-step explanation:

let 2 number be x and y

x + y = 36 ---- equation ( 1 )

x - y = 10 -----equation ( 2 )

from ( 1 ) and ( 2 )

2y = 26

y = 13

putting value of Y in equation ( 1 )

x + y = 36

x + 13 = 36

x = 36 - 13

x = 23

Answer:

1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.

Step-by-step explanation:

The equivalent fractions of  the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .

The fractions which have the same value but can  have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions

The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.

Equivalent fraction can be obtained by multiplying  numerator and denominator with the same number .

Example : equivalent fraction of  [tex]\dfrac{5}{8}[/tex] is

[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]

According to the data provided in the problem

[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]

Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are  [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]

Learn more about equivalent fractions here:

https://brainly.com/question/29796627

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Answer:

x = 60

y = 80

Step-by-step explanation:

x° + 120° = 180° (interior angles on the same side of transversal)

x° = 180° - 120°

x° = 60°

x = 60

x° + y° = 140° (alternate angles)

60° + y° = 140°

y° = 140° - 60°

y° = 80°

y = 80

The measure of angle ∠x is 60° and ∠y is 80°.

Alternate Interior Angles is defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.

Since angle ∠x and ∠120° are interior angles on the same side of transversal.

So, x° + 120° = 180°

x° = 180° - 120°

x° = 60°

x = 60

Since angle ∠x° and angle ∠y° are alternate angles

So, x° + y° = 140°

Substitute the value of x = 60 in above equation,

60° + y° = 140°

y° = 140° - 60°

y° = 80°

Hence, the measure of angle ∠x is 60° and ∠y is 80°.

Learn more about Alternate Interior Angles her:

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Answer:

100000 olacak iyi dersler

Answer:

a

Step-by-step explanation:

On the number line, negative numbers are less than zero. positive numbers are larger than zero.

35.5m

Step-by-step explanation:

355m÷10=35.5m answer

Answer:

4 over 5

Step-by-step explanation:

36 divided by 9 is 4 and 45 divided by 9 is 5. so the answer is 4/5

Answer:

really what is the answer

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

i cant see clearly if line is on the x axis or not, so im going to guess that it starts on a 2, cause its really close to 2.

hope this helps.