Cindy won the lottery, and she gave her family $1,000.00 less than of her winnings. If
the jackpot was worth $35,000.00, how much did Cindy share with her family?

Answer:

See below

Step-by-step explanation:

\(1\cdot24=2\cdot12=3\cdot8=4\cdot6=24\)

Answer:

1. 24

2. 12

3. 8

4. 6

Step-by-step explanation:

2 x 12 = 24, 3 x 8 = 24, 4 x 6 = 24

Answer:

The equation in the slope-intercept form will be:

\(y=-\frac{49}{39}x+0\)

Step-by-step explanation:

Given the points

Finding the slope between the points using the formula

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)\)

\(m=\frac{0-49}{0-\left(-39\right)}\)

\(m=-\frac{49}{39}\)

We know that the point-slope of the line equation is

\(y-y_1=m\left(x-x_1\right)\)

substituting \(m=-\frac{49}{39}\) and (-39,49)  in the equation

\(y-y_1=m\left(x-x_1\right)\)

\(y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)\)

Now writing the equation in slope-intercept form

\(y=mx+b\)

where m is the slope and b is the y-intercept

\(y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)\)

\(y-49=\frac{-49}{39}\left(x+39\right)\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\)

\(y-49=-\frac{49}{39}\left(x+39\right)\)

\(\mathrm{Add\:}49\mathrm{\:to\:both\:sides}\)

\(y-49+49=-\frac{49}{39}\left(x+39\right)+49\)

\(y=-\frac{49}{39}x+0\)              ∵ \(y=mx+b\)

Where

\(m=-\frac{49}{39}\) and the y-intercept i.e. \(b=0\)

Therefore, the equation in the slope-intercept form will be:

\(y=-\frac{49}{39}x+0\)

Answer:

Step-by-step explanation: multiply 2 with 3x-1

6x-2

multiply 9 with x-2

9x-18

form equation:

2(3x-1)=9(x-2)-7

or, 6x-2=9x-18-7

or, 9x-18-7=6x-2

or, 9x-6x= -2+18+7

or, 3x=23

or, x=23/3

Ans:  x= 7.67

Answer:

the axis of symmetry is 0 which is x=0

Step-by-step explanation:

Answer: $3.75

Step-by-step explanation:

Answer:

The cost of 6 cans of soup is 3.75

Step-by-step explanation:

12 = 7.50

1 can = x

12x = 7.50

We need to find the cost of 1 can. So we divide 7.50 by 12.

x = 0.625

Then multiply by 6.

0.625 x 6 = 3.75

As a result the cost of 6 cans of sup is $3.75

Answer:

y=15

Step-by-step explanation:

first, add 6 to each side. the equation is now 3y=45

simply divide 45 by 3 to get

y=15

Answer:

y=15

Step-by-step explanation:

3y-6=39

add six to the other side

3y=45

divide 45 by 3

y=15

Answer:

  f'(x) = -2/√(x³)

Step-by-step explanation:

You want the derivative of f(x) = 4/√x.

The power rule for derivatives is ...

  \(\dfrac{d}{dx}(x^n)=nx^{(n-1)}\)

Applied to the given function, we have ...

  \(f(x)=\dfrac{4}{\sqrt{x}}=4x^{-\frac{1}{2}}\\\\f'(x)=4(-\frac{1}{2}x^{-\frac{3}{2}})\\\\\boxed{f'(x)=-\dfrac{2}{\sqrt{x^3}}}\)

__

Additional comment

The first attachment shows a calculator gives the same result.

The second attachment shows the derivative curve matches the one described by the function we found.

Answer:

g(100)

Step-by-step explanation:

g(1)=128, g(2)=64, g(3)=32, g(4)=16, g(5)=8

f(n)=128-2(n-1), g(n)=128/2^(n-1), then

f(100)=-70, g(100)>0

Answer:

40

Step-by-step explanation:

1/5*200=40

Answer:

yeah that's correct........

Answer:

-17/8

Step-by-step explanation:

You would add 5x + 2x = 7x

Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45

and do it for  7(5)= 35-1 = 34 too

You can't make them equal

Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x.  We're basically un-distributing the common factor from each term.

And now with (5+2)x, we can add the 5 and 2 to get 7x.

If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:

    (5)(9)+(2)(9)=45+18=63

    (7)(9)=63

If we substitute 9 into 7x-1, then we end up with 63-1 = 62.

In fact, any number we put into 5x+2x will always be one more than 7x-1.  So, no, there doesn't seem to be any value of x that would make these equal.  Since 5x+2x=7x, then 7x-1 will always be one less than 7x.

Answer:

B or 415

Step-by-step explanation:

the volume of a cone is given by the formula V = (pi × r^2 × h/3)

where,

V = volume of the cone,

r = the radius of the cone,

h = the height of the cone.

so by just plugging in the values we get the answer which is 415

if you need any further guidance make sure to ask. :)

The Volume of Cone is 414.48 cm³.

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

radius = 6 cm

height = 11 cm

Now, slant height

= √r² + h²

= √11² + 6²

= √121+ 36

= √157

= 12.52 cm

Now, Volume of cone

= 1/3 πr²h

= 1/3 (3.14)(6)²(11)

= 1/3 (3.14)(36)(11)

= 414.48 cm³

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Answer: 3\(i\)

Step-by-step explanation: The reason for this is because \(i\) =

\(\sqrt{-1}\), and when \(\sqrt{-1}\) is multiplied to \(\sqrt{9}\), it becomes \(\sqrt{-9}\). Since \(\sqrt{9}\) can be simplified to 3, we can just multiply \(i\) to 3. This becomes 3\(i\).

Hope this helped!

Answer:

3i

Step-by-step explanation:

The true statement regarding statistical plan is Transaction-based plans better support the business need for data

The term statistical plan refers to the document that a statistical organization uses to specify the data items that must be provided to the organization as well as the format in which the data must be reported.

The statistical analysis plan SAP includes information on the scope, population definitions, and methodology of planned analyses. The SAP should be built before any such data analysis because it is essential for directing them.

Hence The statement that transaction-based plans better meet the business demand for data is true with relation to statistical plans.

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The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Answer: Carlos pays $74.00

Step-by-step explanation:

103.6/56 = 1.85

40 x 1.85 = 74

Answer:

Below in bold.

Step-by-step explanation:

Vertex form.

y = a(x - h)^2 + k

The point (h, k) is the vertex so from the graph:

y = a(x - 1)^2 - 8

From the x -interesect we see that x = 6 when y = 0 so

0 = a(6 - 1)^2 - 8

25a - 8 = 0

a = 8/25

So the vertex form is

y = (8/25)(x - 1)^2 - 8.

Factored form:

y = (8/25)(x + 4)(x - 6)  

- as -4 and 6 are the zeros of the equation.

Standard form:

From the factored form we have

y = (8/25)(x^2 - 2x - 24)

y = 8/25 x^2 - 16/25 x - 192/25

or (in decimal form):

y = 0.32x^2 - 0.64x - 7.68.

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

To prove that the two triangles are similar, we can use the Angle-Angle (AA) similarity theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In this case, we have angle MCD in the smaller triangle and angle MDC in the larger triangle, which are congruent because they are vertical angles. We also have angle CMD in the smaller triangle and angle CDM in the larger triangle, which is congruent because they are both right angles. Therefore, by the AA similarity theorem, the two triangles are similar.

To find the length x, we can use the fact that the corresponding sides of similar triangles are proportional. Let's use the ratio of corresponding sides CM and DC in the smaller triangle to MC and CD in the larger triangle:

CM/DC = MC/CD

Substituting the given values, we get:

x/120 = tan 49°/tan 41°

Solving for x, we get:

x = 210 yd * tan 49°/(tan 49° + tan 41°) ≈ 124.8 yd

Therefore, the length x is approximately 124.8 yards.

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Answer:  b

Step-by-step explanation:

I think

Answer:

A

Step-by-step explanation:

The slope is

\(\frac{3-2}{4-2}=\frac{1}{2}\)

Substituting into point-slope form,

\(y-3=\frac{1}{2}(x-4) \\ \\ y-3=\frac{1}{2}x-2 \\ \\ y=\frac{1}{2}x+1\)

Answer:

option b

Step-by-step explanation: i took this test and got 100

Answer:

  see attached

Step-by-step explanation:

Points are plotted on a coordinate grid by recognizing the meaning of the numbers in the ordered pair.

The first number is the x-coordinate, the horizontal distance from the y-axis. The second number is the y-coordinate, the vertical distance from the x-axis. Positive numbers indicate "right" or "up". Negative numbers indicate "down" or "left."

The mark is 3.5 units left of the y-axis and 4 units down from the x-axis.

__

The mark is neither left nor right of the y-axis, so is on the y-axis. It is 4.5 units down from the x-axis.

The preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft is approximately $700 million.

To estimate the cost of building a 600-MW fossil-fuel plant, we can use the cost capacity exponent factor and the cost index.

First, let's calculate the cost capacity ratio (CCR) for the 600-MW plant compared to the 200-MW plant:

CCR = (600/200)^0.79

Next, we need to adjust the cost of the 200-MW plant for inflation using the cost index. The cost index ratio (CIR) is given by:

CIR = (current cost index / base cost index)

Using the given information, the base cost index is 400 and the current cost index is 1200. Therefore:

CIR = 1200 / 400 = 3

Now, we can estimate the cost of the 600-MW plant:

Cost of 600-MW plant = Cost of 200-MW plant * CCR * CIR

Using the information provided, the cost of the 200-MW plant is $100 million. Plugging in the values, we have:

Cost of 600-MW plant = $100 million * CCR * CIR

Calculating CCR:

CCR = (600/200)^0.79 ≈ 2.3367

Calculating the cost of the 600-MW plant:

Cost of 600-MW plant = $100 million * 2.3367 * 3

Cost of 600-MW plant ≈ $700 million

Your question is incomplete but most probably your full question was

Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79. What is he preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft?

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Answer:

Step-by-step explanation:

4X^2=33-9

4X^2=24

X^2=24:4

X^2=6

X=\sqrt{6}

Good luck!

Answer:

1. t=0.08p

2. $1.60

Answer:

Your answer would be x = -240

Step-by-step explanation:

1. First do 2-12 to get a denominator of -10.

2. Multiply -10 on both sides to get x = 24 * -10

3. Solve 24 * - 10 to get x = -240

Answer:

the greeks neglected roads

b. roads

Answer:

B. roads

Step-by-step explanation:

The other person got it correct

Answer:

Step-by-step explanation:

1) 2/5= 0.4

2) 2 1/8= 2.1

3) 4/33= 0.12

4) -6/11= -0.54

Explanation:

In fractions, the numerator is the number above the line and the denominator is the number below.

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.