A geometric progression has 99 terms, the first term is 12 and the last term is 48. What is the 50-th term?

Answer:

Step-by-step explanation:

The balance of the savings plan after 2 years will be=$7,410.85 at 3% compounded monthly.

The balance of the savings plan after 2 years will be=$7,407.95 at 3% compounded annually.

The formula you use to calculate this is:FV=P{[1 + R]^N - 1/ R}=FV OF $1 PER PERIOD, Where R=Interest rate per period, N=number of periods, P=periodic payment, FV=Future value.

Answer:

x = 18. y = 54

Step-by-step explanation:

first we we figure out the degrees of the spot where N is.

(I know N references the line but ill be using it to call the spot)

72 + N = 90

subtract 72 from both sides

N = 18

So since opposite angles are the same

2x + N = 3x

2x + 18 = 3x

subtract 2x from both sides

18 = 1x

divide by 1 both sides

18 = x

______

now we add all the angles from the left sides to make 180

2x + N + 72 + y = 180

we know x is equal to 18 and N is also 18

2(18) + 18 + 72 + y = 180

simplify

36 + 18 + 72 + y = 180

add

126 + y = 180

subtract both sides by 126

y = 54

The number of hours that are there in Jupiter is 9 hours.

The kilograms that a person weigh on the moon is 9kg.

It is important to note that there are 24 hours in a day. Therefore, when Jupiter day is about 3/8 of an earth day. The number of hours will be:

= 3/8 × 24

= 9 hours

Also, a person weight is about 1/6 of their weight on Earth. The kilograms that a person weigh on the moon if their weight on earth is 54kg will be:

1/6 × 54

= 9kg

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Step-by-step explanation:

1. 95+78 as its asking how many bools all together. 173 books

2. 305-98 ita asking how many miles LEFT.

well, let's notice our tangent is positive, that only happens on the 1st and 3rd Quadrants

[tex]tan(t )=\cfrac{\stackrel{opposite}{3}}{\underset{adjacent}{4}}\hspace{5em} \textit{now let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{4^2 + 3^2}\implies c=5\hspace{5em} \stackrel{I~Quadrant}{cos(t)= \cfrac{\stackrel{adjacent}{4}}{\underset{hypotenuse}{5}}}\qquad \stackrel{III~Quadrant}{cos(t)=-\cfrac{4}{5}}[/tex]

The slope of the graph is 5.5.

Given:

During one hour of running, Jeff can run 5.5 miles. The number of miles Jeff runs and the number of hours are in a proportional relationship. This is represented by y=5.5x .

slope:

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant .

compare the y = 5.5x with standard equation y = mx + c

m = 5.5 and c =0

m is nothing but slope:

so slope m = 5.5

= 11/2.

Therefore The slope of the graph is 5.5.

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The outlier of the data is 14.16 gram

An outlier is a data point in statistics that dramatically deviates from other observations. An outlier may reflect measurement variability or it may point to an experimental error; the latter is occasionally removed from the data set. In statistical analyses, an outlier can result in significant issues.

Given:

Weights of the samples are 13 g, 14 g, 23 g, 11 g, 15 g, 14 g, 14 g, 12 g, 13 g, 15 g, 14 g, and 12 g.

So, the outlier is

= 13 x 2 + 14 x 4 + 12 x 2 + 11 + 15 x 2+ 13 / 12

= 170 gram /12

= 14.16 gram.

Hence, the outlier of the data is 14.16 gram

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The value of x for 5x + 1/3(3x+6) > 14 is x > 2

What are inequality equations in algebra ?
When you first begin learning algebra, the equals sign is used to denote that two items are, in fact, equal to one another. As an illustration, consider the equations 3 = 3, 5 = 3 + 2, apple = apple, pear = pear, etc. When compared, an inequality reveals two things: first, that the objects being compared are not equal, or at the very least, they are not always equal; and second, how they are uneven.

Consider the provided inequality.

5x + 1/3(3x+6) > 14

Distributive property:

a (b +c)= ab + ac

By the distributive property.

5x + 1/3 * 3x + 1/3 * 6 > 14

5x + x + 2 > 14

Add the like terms

6x + 2 > 14

Subtract 2 from both sides.

6x > 12

Divide both sides by 6.

6x/6 > 12/6

x > 2

Hence, value of x for the given inequality equation will be greater than 2 i.e, x > 2.

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Answer:

Nikita Knight

Nikita Knight

Step-by-step explanation:

Nikita Knight

Nikita Knight

Nikita Knight

Nikita Knight

69420

Answer:

[tex]\hat{y}=-0.29x+5.67[/tex]

Step-by-step explanation:

Given points on the scatter plot:

Plot the given points and draw a line of best fit (see attachment).

As the y-values decrease as the x-values increase, the slope of the line of best fit is negative.

From inspection of the plotted line of best fit, we can see that the y-intercept is approximately 5.7.

Therefore, the equation that is appropriate for the line of best fit is:

[tex]\boxed{\hat{y}=-0.29x+5.67}[/tex]

Answer:

y hat equals negative 29 hundredths times x plus 5 and 67 hundredths.

Step-by-step explanation:

i took the test :)

Answer:

P = $11233.08

Step-by-step explanation:

Another word for deposit is the principal and the compounded monthly indicates we're working with compound interest.

The formula for compound interest is:

[tex]A(t)=P(1+\frac{r}{n} )^{rt}[/tex], where P is the principal ("deposit"), r is the rate, n is the number of compounding periods, and t is the time.

Before solving, we will need to convert the percentage to a decimal (9.3% to 0.093) and remember that n = 12, since there are 12 months in a year.

Thus, we will need to solve for P to find Brad's deposit:

[tex]14832=P(\frac{0.093}{12})(^{12*3})\\14832=P(1.00775)^{36} \\14832=1.32038641P\\11233.07532=11233.08=P[/tex]

The equation for the red graph is y = f(x/2).

We are given a graph. The graph shows two functions. A function connects an input to an output. It is similar to a machine with input and output. And the result is somehow connected to the input in some way. One of the functions is depicted by black lines. We need to find the equation of the function represented by the red lines.

We can see that the function represented by the red lines can be formed if the black lines are stretched horizontally. The black lines can be stretched horizontally by a factor of 2 to form the red lines. A function y = f(x) can be stretched horizontally by a factor of "k" as given below.

y = f(x/k)

Hence, the equation for the red graph is y = f(x/2).

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The equation that generates the table is

y = (2/5)x + 4.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Money Spent (x)      $0  $20  $40  $60

Pounds of Food (v)  4      12     20    28

We can have the following points from the table.

(0, 4), (20, 12), (40, 20), and (60, 28).

Now,

Choose two points:

(0, 4) and (20, 12)

m = (12 - 4) / (20 - 0)

m = 8 / 20

m = 2/5

Now,

(0, 4) = (x, y)

y = mx + c

4 = (2/5) x 0 + c

4 = c

c = 4

Now,

The equation is given as,

y = mx + c

y = (2/5)x + 4

The equation that generates the table is

y = (2/5)x + 4.

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The congruent angle of Q is T

The ordered pair that made the equation, y = 4x - 5 correct is (5, 15).

Mara's age is 5 less than four times Brandy's age.   Let x represent Brandy's age, and let y represent Mara's age.

Therefore, the ages can be represented linearly as follows:

y = 4x - 5

where

Therefore, the ordered pair (x, y) that makes the equation correct can be computed as follows:

y = 4x - 5

y = 4(5) - 5

y = 20 - 5

y = 15

The ordered pair is (5, 15)

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Answer/Step-by-step explanation:

Use the given drawing and scale to find out how big the building is in real life. See image. Then use the scale they asked for to make the new drawing. See image.

Answer:

B

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

1. The relationship as a function r = f(t) is: r = (9 - 2t)/9.

2. The numeric value at t = -9 is: f(-9) = 3.

3. The value of t for which f(t) = 5 is t = -18.

The relationship is given as follows:

9r + 2t = 9.

To write the relationship as a function of t, we have to isolate the variable r as a function of the variable t, hence:

9r = 9 - 2t

r = (9 - 2t)/9.

To find the numeric value at t = -9, we replace the lone instance of t in the relationship by -9, hence:

r = (9 - 2(-9))/9 = 27/9 = 3.

To find when f(t) = 5, we have to find t for which f(t) = 5, hence:

9r = 9 - 2t

2t = 9 - 9r

2t = 9 - 9(5)

2t = -36

t = -36/2

t = -18.

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The solution for the linear equation:

x - (2/3)*x - (1/2) = (1/3) + (5/6)*x

Is x = -5/3

Is hard to understand what you wanted to write, but I assume that the linear equation that we need to solve is:

x - (2/3)*x - (1/2) = (1/3) + (5/6)*x

To solve this linear equation, we need to isolate the variable x in one of the sides of the equation

To do so, we move all the terms with "x" to the left side and the terms without to the right side:

x - (2/3)*x - (5/6)*x = 1/3 + 1/2

Now we solve this:

x - (4/6)x - (5/6)x = 2/6 + 3/6

x - (9/6)*x = 5/6

We can write the "1" in the first term as 6/6

(6/6)*x - (9/6)*x = 5/6

(-3/6)*x = 5/6

-3x = 5

x = 5/-3

x = -5/3

That is the solution of the linear equation.

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The probabilities, using the Poisson distribution, are given as follows:

a) Three customers in five minutes: 0.1805 = 18.05%.

b) Fewer than two customers in ten minutes: 0.0916 = 9.16%.

The probability mass function of the Poisson distribution is presented as follows:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters of the Poisson distribution are:

The mean is of two arrivals per five minutes, hence:

[tex]\mu = 2[/tex]

The probability of exactly three arrivals in five minutes is:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 3) = \frac{e^{-2}2^{3}}{(3)!} = 0.1805[/tex]

For ten minutes, the mean is given as follows:

[tex]\mu = 2 \times 2 = 4[/tex]

The probability of fewer than two arrivals is:

P(X < 2) = P(X = 0) + P(X = 1).

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-4}4^{0}}{(0)!} = 0.0183[/tex]

[tex]P(X = 1) = \frac{e^{-4}4^{1}}{(1)!} = 0.0733[/tex]

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.0183 + 0.0733 = 0.0916 = 9.16%.

The complete problem is given by the image shown at the end of the answer.

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Answer:

The correct answer is 8.345

Step-by-step explanation:

To find the midpoint of any two numbers, add the two numbers together and then divide the sum by two.

Addition:

8.34 + 8.35 = ?

= 16.69

Divide sum by 2:

16.69 ÷ 2 = ?

= 8.345

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The third graph or option 3 represents the function f(x) = - l x l - 2.

Given:

f(x) = - l x l - 2

Table

x            y = - l x l - 2

0            -2

1             -3

2            -4

3            -5

-1            -3

-2           -4

-3           -5

On plotting above points or the above points shown in figure 3 or third graph.

Therefore the third graph or option 3 represents the function f(x) = - l x l - 2.

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Answer:

I think it's 10 idek I just search it

The value of P is $2,000.

The value of r is 2.8%

The value of n is 4.

The amount of money that Allision will have in 8 years is  $2,500.19.

When the account is compounded quarterly, it means that the amount invested and the interest that has already been earned would increase in value four times in a year. A compound growth rate can be modelled as an exponential equation.

The equation that can be used to determine the future value with quarterly compounding is:

S(t) = P( 1 + r /n)^(n x t)

Where:

S(t) = 2,000 x ( 1 + 0.028 / 4)^(4 x 8)

S(t) = 2,000 x 1.007^32 = $2,500.19

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For the given equation y  = 3x² -7x + 4 the vertex form is given by

( 7/6, -1/12).

As given in the question,

Equation is given by :

y  = 3x² -7x + 4

Standard form of the equation to get the vertex form is given by :

y = a ( x - h )² + k

Where ( h, k ) represents the vertex of the equation,

Now,

Simplify the given equation y  = 3x² -7x + 4 into standard form to get vertex form,

y  = 3x² -7x + 4

⇒ y = 3 [x² -2×(7/6)] + 4

⇒ y = 3 [ x² - 2×(7/6) + (49/36) - (49/36) ] + 4

⇒ y = 3 [ x² - 2×(7/6) + (49/36) ] - 3(49/36) + 4

⇒ y = 3 [x - (7/6)]² - (49/12) + 4

⇒ y = 3[x - (7/6)]² - (1/12)

Compare it with standard form ,

a = 3, h = (7/6) , k = -(1 /12)

Vertex form ( h, k) = ( 7/6 , -1/12 )

Therefore, for the given equation y  = 3x² -7x + 4 the vertex form is given by ( 7/6, -1/12).

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As Karen age is 52- year old and she is a female and her life insurance policy is for 20- years , then amount to be deducted from her life insurance paycheck is equal to $1317.

As given in the question,

Information given about Karen,

Age = 52- year old

Gender = female

Policy = 20 -year life insurance policy

Annual premium given per $1000 for coverage

Karen policy amount = $75,000

From the table it is given that,

Amount deducted per $1000 for 20year policy in the age limit of 48 -52

= $17.56

⇒ $1000 = $17.56

⇒ $75,000 = $( 17.56 × 75,000)/ 1000

                   = $1317.

Therefore, as Karen age is 52- year old and she is a female and her life insurance policy is for 20- years , then amount to be deducted from her life insurance paycheck is equal to $1317.

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Answer:

positive, positive, zero, zero, negative, negative, positive

Step-by-step explanation:

The derivative is positive when a function is increasing.

The derivative is zero when a function is neither increasing nor decreasing.

The derivative is negative when the function is decreasing.

Answer: x+3

Step-by-step explanation:

since it has the absolute value, it will be x+3 and you can graph that in your calculator!

Answer:

The answer for no 7 is A. 24 in, for no 8 is C. 10 in, for no 9 is D. similar

Step-by-step explanation:

The answer for no 7 can be calculation as follows

Since both rectangles are similar, then the corresponding side are proportional, and it follows

[tex]\frac{\overline{KJ}}{\overline{AB}}=\frac{x}{\overline{AD}}[/tex]

[tex]\frac{48}{144}=\frac{x}{72}[/tex]

Where [tex]x[/tex] is the line segment [tex]\overline{MJ}[/tex]

Multiply both sides by [tex]72[/tex] to isolate [tex]x[/tex]

[tex]\frac{48}{144}\times 72=\frac{x}{72}\times 72[/tex]

[tex]\frac{48\times 72}{144}=x[/tex]

[tex]\frac{3456}{144}=x[/tex]

[tex]24=x[/tex]

Since the value of [tex]x[/tex] is [tex]24[/tex], then the length of [tex]\overline{MJ}[/tex] is [tex]24[/tex] in

The answer for no 8 can be calculation as follows

Since both rectangular frames are similar,  then the corresponding side are proportional, and it follows

[tex]\frac{w_2}{w_1}=\frac{x}{h_1}[/tex]

Where [tex]w_2[/tex] is the width of frame [tex]2[/tex], [tex]w_1[/tex] is the width of frame [tex]1[/tex], [tex]x[/tex] is the height of frame [tex]2[/tex], [tex]h_1[/tex] is the height of frame 1

Substitute [tex]8[/tex] for [tex]w_2[/tex], [tex]12[/tex] for [tex]w_1[/tex], [tex]15[/tex] for [tex]h_1[/tex]

[tex]\frac{8}{12}=\frac{x}{15}[/tex]

Multiply both sides by [tex]15[/tex] to isolate [tex]x[/tex]

[tex]\frac{8}{12}\times 15=\frac{x}{15}\times 15[/tex]

[tex]\frac{8\times 15}{12}=x[/tex]

[tex]\frac{120}{12}=x[/tex]

[tex]10=x[/tex]

Since the value of [tex]x[/tex] is [tex]10[/tex], then the height of  the second rectangular frame is [tex]10[/tex] in

The answer for no 9 can be evaluated as follows

Since two polygons are similar if and only if two conditions are satisfied

Then the two polygons are similar