Ebony earned scores of 71 , 70, 87, 97 , and 82 on five math tests. Determine her
score on the sixth test if her average for the six tests was 83? Enter your answer as a
whole number

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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Answer: 5.582 * 10^4  

Step-by-step explanation:

55,820=

55,820/10,000 * 10,000=

5.5820 * 10,000 =

5.5820 * 10^4 = 5.582 * 10^4

Answer:

Month        Total Bill

1                  1000

2                  1,020

3                  1,040.40

4                  1,061.21

5                  1,082.43

6                  1,104.08

7                  1,126.16

8                  1,148.69

Step-by-step explanation:

Use the formula for compound interest

[tex]A = P(1+r)^t[/tex]

where A is the balance, P is the principal (credit card balance), r is the effective rate and t is the number of time periods

Here r = 2% computed monthly which is 2/100 = 0.02 in decimal and t = 1, 2,3,4,5,6,7,8 months

So 1 + r = 1+0.02 = 1.02

We can compute the monthly balance for each subsequent month by multiplying the previous month's balance by 1.02

All figures rounded to the nearest cent

Answer

Month        Total Bill

1                  1000

2                  1,000 x 1.02 = 1,020

3                 1,020 x 1.02 = 1,040.40

4                 1,040.40  x 1.02 = 1,061.21

5                  1,061.21  x 1.02 = 1,082.43

6                  1,082.43 x 1.02 = 1,104.08

7                  1,104.08 x  1.02 = 1,126.16

8                   1,126.16 x 1.02 = 1,148.69

Answer:

none

Step-by-step explanation:

kindly check your equations as well as the options, there is an error in them!!

Answer:

I would choose blue, assuming that there are even chances between red and blue winning.

Hope this helps.

Answer:

[tex]x^{\frac{3}{7} } =\sqrt[7]{x^{3} }[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]x \frac{3}{7} = \sqrt[7]{x^3}[/tex]

Step-by-step explanation:

That is your answer

Answer:

Fibonacci sequence is one of the most known formulas in number theory. In the Fibonacci sequence, each number in the series is calculated by adding the two numbers before it. Generally, the first two terms of the Fibonacci series are 0 and 1.

Any Fibonacci number can be calculated by using this formula,

xn =  (φn − (1−φ)n)/√5

xn denotes Fibonacci number to be calculated

φ is Golden ratio = 1.618034

the condition given in the question and applying the Fibonacci formula:

By the use of the Fibonacci number formula, we can calculate the rest of the Fibonacci numbers like 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.

Therefore, the 8th term will be 21.

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The key points of difference between data and information are -

"Facts and figures" are the simplest definition of the word "data." Each piece of information is a little fact that, by itself, doesn't mean anything. Data can refer to a single fact or a group of related facts. Its root, datum, is a Latin term that means "something provided."

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The scale factor of the the larger triangle to the smaller triangle is: 3.25.

When a figure is dilated, the figure is enlarged or reduced. The scale factor is calculated as: dimension of the new figure / corresponding dimension of the old figure.

Find the scale factor of the larger triangle to the smaller triangle:

One dimension of the larger triangle = 13

Corresponding dimension of the smaller triangle = 4

Scale factor of the dilation = 13/4

Scale factor of the dilation = 3.25

Therefore, the scale factor of the the larger triangle to the smaller triangle is: 3.25.

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Answer:

Her annual salary is $62,400

Step-by-step explanation:

Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.

Bi weekly is a check every 2 weeks, so she would get 26 checks per year.

Monthly would be 12 checks per year.

When she gets paid monthly her pay increased by $2,800 each check.

Let x be one bi-weekly paycheck.

The equation we get is:

12(x+2800) = 26x

Multiply the bracket by 12:

12x +33600 = 26x

Subtract 12x from both sides

33600 = 14x

Divide both sides by 14:

x = 33600/14

x = 2400

Her pay increased by 2800 each period:

2400 + 2800 = 5200 per check.

5200 x 12 months = 62400

Her annual salary is $62,400

8 yards is the radius of the base

Answer:

35

Step-by-step explanation:

There 3 sides of a triangle.There are three corners called verticals in a triangle.So you will need to add 62+45=107.The you need to divide.107/3=35.

Hope this helps you

The zero(s) of function f(x) = -4x + 6 is [tex]x=\frac{3}{2}[/tex]

As per the question statement, We are given a function [tex]f(x) = -4x + 6[/tex]   and we are supposed to find the zero(s) of the function.

We know that zero of a function is the value of the function at which the value of function becomes absolute zero.

For that we have to equate the function to zero first.

f(x) indicates the function with variable in "x"

For zero(s), of f(x)

Let f(x) = 0

[tex]f(x) = -4x+6=0\\4x=6\\x=\frac{6}{4} \\x=\frac{3}{2}[/tex]

Therefore value of x at which f(x) is zero is [tex]x=\frac{3}{2}[/tex]

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Answer:

Exact form 2/11

Decimal form 0.18

Fractions Context: How do they work?  -

- In every fraction, there's a top number and a bottom number, separated by a short horizontal line.

- In a proper fraction, the smaller number — called the numerator — will always be on top, while the larger number — the denominator — will be on the bottom.

(NOTE: The larger number is not always on the bottom, when it's on the top it is considered an improper fraction!)

- The numerator tells us how many units we have of a whole and the denominator tells us how many units make up the whole. So, in the fraction 1/2, 1 is the numerator and 2 is the denominator — there are two units in the whole, but this fraction tells us that we only have one of these units.

________________________________________________________
How can we muiltiply fractions?

Unlike when you are adding or subtracting fractions, you can multiply fractions with different denominators. For instance, it's not a problem to multiply 3/4 x 2/5.

Here's an example:
[tex]\frac{3}{4} * \frac{2}{5 } = \frac{3*2}{4*5} = \frac{6}{20}[/tex]

Think we're done here? Haha, not in the least!

Fractions in the form of answers must ALWAYS be simplified unless asked to do the opposite! We must simplify the fraction and reduce it to its purest form.

6/20 can be divided by 2 on both the numerator and the denominator.

3/10 would be the FINAL ANSWER!
________________________________________________________
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Have a WONDERFUL day! (:

Answer: It is A, or 9 inches

Step-by-step explanation:

1. We know that the length and width is 3, so that is 3 * 3, which is 9

2. Therefore, with the volume of 81, we would know that 9 * 9 is 81, so the height is 9 inches

Answer:

120+2.51=122.51cm

Answer:

A: true

I'm positive

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Answer:

5/12.

Step-by-step explanation:

3/8 / 9/10

= 3/8 * 10/9

= 1/8 * 10/3

= 1/4 * 5/3

= 5/12

The equation of the perpendicular bisector of the segment with the endpoints located at D(-2  ,-4) and E(2 , 1) is y = -4/5x - 3/2.

A perpendicular bisector of a segment is a line that divides the segment into two equal parts forming right angles at the point of intersection.

To get the perpendicular bisector of a segment, get the point of intersection of the two lines which is the midpoint of the segment.

midpoint (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]

midpoint (x , y) = [(-2 + 2)/2 , (-4 + 1)/2]

midpoint (x , y) = (0 , -3/2)

Get the slope of the perpendicular bisector of a segment by taking the negative reciprocal of the slope of the segment.

slope of segment = (y2 - y1)/(x2 - x1)

slope of segment = (1 - -4)/(2 - -2)

slope of segment = 5/4

slope of the perpendicular bisector = -4/5

Solving for the y-intercept, b, plug in the point (0 , -3/2) and the slope -4/5 to the slope-intercept form of the equation, y = mx + b.

y = mx + b

-3/2 = -4/5(0) + b

b = -3/2

Setting up the equation in slope-intercept form, where m = -4/5 and b = -3/2.

y = mx + b

y = -4/5x - 3/2

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Answer:

y = x + 5

Step-by-step explanation:

m = 1, x = -2, y = 3

y = mx + b

3 = 1(-2) + b

3 = -2 + b

b = 3 + 2 = 5

therefore

y = x + 5

Answer:

Step-by-step explanation:

if 14/6=32/4

12/4=3 y-6=3 y=9

0/4=0 y-6=0 y=6

if y=4 x=-8

y=-3 x=-36

Answer:

Step-by-step explanation:

y = 6 - (x/4)                 replace the given values with x or y

x    :    y

32   :    14

12    :    3

0     :    6

8    :     4

36    :    -3

Answer:

D (-4, -1), A (-2, 3), S (-1, 2), N (-1, 0)

Tip:

To move a point down by two units, subtract the y in (x, y) by 2.

Answer:

Step-by-step explanation:

(14.75x10)+(3.5x5)+15.50= 180.5

14.75= trampoline per hour

10= the friends 2x hours

3.5= socks

5= the number of friends

15.50= the super pizza deal

After solution of the given equation  8y-2+6x the answer is 2(4y - 1 + 3x).

So, 8y-2+6x:

Factor out common term 2:

Therefore, equation 8y-2+6x is 2(4y - 1 + 3x).

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