asha saves coins in a jar. The table shows how the amount of money was in the jar at the end of every three-month period. A line of best fit for this
ata is B= 0.45m + 1.93.
Month, m
Balance, B
($)
3
6
9
3.24 4.63 5.97 7.26
12
Which value is the best estimate of the amount of money in the jar at the end of the first month?
A $0.45
OB. $1.08
OC. $1.93
OD. $2.3

The inequality will be:

x ≥ $9

Which says that x can be equal to or larger than $9.

An inequality is a mathematical statement that relates two or more mathematical elements (variables, expressions, etc.) in such a way that there is not a equality like in an equation (an equality can be a solution, but not necessarily)

For example, if x represnts what you bring for dinner, we know that x needs to be at least $9.

So x = $9 is a solution.

But if x is a larger value than $9, it also is a solution.

This situation is represented by the inequality:

x ≥ $9

Which says that x can be equal to or larger than $9.

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Step-by-step explanation:

so, simply, when is c = 0 ?

0 = -0.0166x² + 1.2109x + 41.708

the solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -0.0166

b = 1.2109

c = 41.708

x = (-1.2109 ± sqrt(1.2109² - 4×-0.0166×41.708))/(2×-0.0166) =

= (-1.2109 ± sqrt(1.46627881 + 2.7694112))/-0.0332 =

= (-1.2109 ± sqrt(4.23569001)/-0.0332 =

= (-1.2109 ± 2.058079204...)/-0.0332

x1 = (-1.2109 + 2.058079204...)/-0.0332 =

= -25.5174459... years

x2 = (-1.2109 - 2.058079204...)/-0.0332 =

= 98.46322904... years

x1 represents then a calculation backwards of 1940 - 25.5 years (≈ 1914) as the estimated starting point with 0 million sold papers.

x2 is the projected year in the future with 0 million dogs papers :

1940 + 98.46322904... = 2038.463229... ≈ 2038

based on this equation it is expected that during 2038 the circulation of weekday newspapers will drop to 0 millions.

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

Work Shown:

Recall that the imaginary number i has the definition of [tex]i = \sqrt{-1}[/tex]

List out the first few powers of i

I'm skipping steps when I listed out those terms, so let me know if you need to see them.

The process repeats every 4 items. This means we'll divide the exponent by 4 to look at the remainder.

Let's do that for the first exponent

12/4 = 3 remainder 0

The remainder 0 tells us that i^12 = i^0 = 1

Also,

22/4 = 5 remainder 2

The remainder 2 means i^22 = i^2 = -1

-------------------

In short:  i^12  = 1 and i^22 = -1

which means 6i^12 + 7i^22 = 6(1) + 7(-1) = -1

The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is 9%.

The requirements of a binomial distribution include:

Probability is the likelihood of an event occurring given the possibility of many outcomes.

Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.

Expected guests = 100

Expected vegans = 5%

Less than 10 vegans = 9

The chance that 9 vegans will attend the event = 9/100 = 9%.

Thus, the probability of having less than 10 vegans attending the event is 9%.

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Answer:

-9

Step-by-step explanation:

5h+2(11−h)=−5

5h + 22-2h = -5

3h = -27

h = -9

The number of combinations of five can the teacher choose from the eight questions is 56

The given parameters are

Total questions, n = 8

Selected question, r = 5

The number of combinations of five can the teacher choose from the eight questions is calculated using

Combination = [tex]^nC_r[/tex]

This gives

Combination = [tex]^8C_5[/tex]

Apply the combination formula

Combination = 8!/3!5!

Evaluate

Combination = 56

Hence, the number of combinations of five can the teacher choose from the eight questions is 56

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Answer:

No, it is not true.

Perpendicular lines meet one another at 90°​.

Answer:

It is false

Step-by-step explanation:

It is false because perpendicula line meet in 90 degree

Answer: x-2=2 (x=4)

Step-by-step explanation:

4 minus 2 equals 2

Answer:

16%

Step-by-step explanation:

Commission = Rate of commission * Total sales

So, Rate of commission = Commission/Total sales

x = Rate of commission

x = 480/3000

x = 0.16

x as percentage = 0.16 * 100

x as percentage = 16%

Answer:

the answer is to the question is 691648

The box will be able to hold 112 balls

Williams needs a golf box to hold his collection of balls

He discovered that 8 layers can fit in a box and each of these 8 layers can hold 14 balls

Therefore the number of golf balls the box can hold can be calculated as follows

= 8 × 14

= 112

Hence the box can hold 112 balls

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The equation of this linear equation is f(x) = 9/7(x - 1) + 2

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

f(−6) = −7, f(1) = 2

Start by calculating the slope (m) using

m = [f(-6) -f(1)]/[-6 - 1]

This gives

m = [-7 - 2]/[-6 - 1]

Evaluate

m = 9/7

The linear equation is then calculated as

f(x) = m(x - x1) + f(1)

So, we have

f(x) = 9/7(x - 1) + 2

Hence, the equation of this linear equation is f(x) = 9/7(x - 1) + 2

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The measure of each of the supplementary angles are: 88.6° and 91.4°.

Based on the definition of supplementary angles, the sum of two angles that are supplementary equals 180 degrees.

Given the following:

Let one of the angles equal x

The second angle would be expressed as: x + 2.8

Therefore, we would have the equation:

x + 2.8 + x = 180 [supplementary angles]

2x + 2.8 = 180

2x = 180 - 2.8

2x = 177.2

x = 177.2/2

x = 88.6

Thus:

One of the angles = x = 88.6°

Th second angle is: x + 2.8 = 88.6 + 2.8 = 91.4°

Therefore, the measure of each of the supplementary angles are: 88.6° and 91.4°.

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Answer:

32

Step-by-step explanation:

That is a weird question. Usually questions like that include a variable. Its like saying n = 32. It just gives the answer. Assuming you didn't miss anything, this is the answer.

Based on the fact that the shape of the given square is dilated with a scale factor, the result would be the first square with a dimension of 3.

The Dilation is to be with a scale factor of 1/3.

This means that the dimensions on the new shape will be:

= Dimensions on original shape x scale factor

= 9 x 1/3

= 9/3

= 3

Dilation does not change the shape of an object so the result of the Dilation would be the first square with a side measurement of 3.

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Answer: as a decimal 1.6

as a fraction 8/5 hope this helps

Step-by-step explanation:

Answer:

15x = 15x

or

0 = 0

Step-by-step explanation:

21(x + 1) - 6x = 15x + 21

21x + 21 -6x = 15x + 21

21x - 6x = 15x

15x = 15x

or

0 = 0

this equation is always true

Answer:

The given Divisor = 405 and Dividend = 48849

The Quotient is 120 and the Remainder is 249

Hope it helps you

Answer:

The end point is (8,-18)

Step-by-step explanation:

Answer: yes only if the number is negative itself.

Step-by-step explanation:  [tex]-3^{3}[/tex] = -27

explanation: -3 x -3 x -3 = 9 x -3 = -27

Distance between the points is -16.

given;

x1 =6

x2=8

y1=-12

y2=-20

d = (x2-x1) (y2-y1)

   =  (8-6) [-20 - ( -12 )]

    =  2 (-8)

     = -16

the degree or amount of separation between two points, lines, surfaces, or objects

therefore the distance between the points is -16 .the quality or state of being distant: such as

a

: spatial remoteness

quite a distance between the two hospitals

b

: personal and especially emotional separation

feels a distance from her brother that wasn't there before

also : RESERVE, COLDNESS

c

: DIFFERENCE, DISPARITY

the distance between the two philosophies

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Answer:

7

Step-by-step explanation:

subtracting a negative is the same as just adding the number, so five minus negative seven is just five plus seven

Answer:

Step-by-step explanation:

Step 1: Convert
8 3/7= 43/5
7 2/15= 10/15

Step 2: Multiply
43×107=4601
----------
5×15=75

[tex]\frac{4601}{75}[/tex]

Step 3: Convert to an improper fraction

[tex]\frac{4601}{15}= 61\frac{26}{75}[/tex]

Hence, our answer is 61 26/75

The amount of money Nancy has is $12.5.

Given that, Steve has $5. Nancy has 250% as much money as Steve.

We need to find out how much money Nancy has.

A specific portion or amount in every hundred is what is meant by the term percentage. It is a fraction with the denominator 100, and the symbol for it is "%."

Let the amount of money Nancy has to be x.

Now, x=250% of 5

=250/100 × 5

=2.5 × 5

=12.5

Therefore, the amount of money Nancy has is $12.5.

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Answer:

see explanation

Step-by-step explanation:

using the rules of exponents

[tex]\frac{1}{a^{m} }[/tex] = [tex]a^{-m}[/tex]

then

[tex]\frac{1}{32}[/tex] = [tex]\frac{1}{2^5}[/tex] = [tex]2^{-5}[/tex]

and

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , so

[tex](2^{-5}) ^{-3x}[/tex]

The gross pay for the week is $776.66.

From the information, he worked these hours from Monday through Saturday last week: 8.2, 8.9, 10.1, 9.6, 8.8, and 6.7.

Therefore, the gross pay will be:

= (8.2 + 8.9 + 10.1 + 9.6 + 8.8 + 6.7) × $14.85

= 52.3 × $14.85

= $776.66

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Answer:

0

Step-by-step explanation:

To find the slope of a line, you have to use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

So, plug in the numbers: [tex]\frac{-7-(-7)}{-2-1}[/tex]

Simplifying it becomes: [tex]\frac{-7+7}{-2+-1}[/tex]. It then becomes [tex]\frac{0}{-3}[/tex].

Finally, dividing 0 by -3 gets you 0.

Answer:

{2,3,5,6,8}

Step-by-step explanation:

U={1,2,3,4,5,6,7,8}

A{3,4,5,6}

B{1,4,8}

C{2,3,4,5,6}

We are to find

{A' n B} U {A' n C'}

={3,5,6,8}. U. {2}

= {2,3,5,6,8}