which expression is equivalent to 25s^3+12s/5s

Answer:

f(x) = 2x

Step-by-step explanation:

It is obvious that the relationship between x and y is y = 2x from the numbers given

So equation is f(x) = 2x

Answer:

x=1

Step-by-step explanation:

33.7618% is the geometric mean annual increase for the period

Rate of Increase Over Time(GM)=[tex]\sqrt[n]{value end period / value start period }[/tex] -1

In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. we have to find  the geometric mean annual increase for the period

from 1885 to 2008 that is (2008- 1885=23 ) in 23 years the GM become

therefore n= 23

value of start period = 326030

value of end period = 262359000

rate of increase over time GM= [tex]\sqrt[23]{262359000/326030} -1[/tex]

                                                 = 1.337618 -1

                                                  =0.337618

rate of increase is 33.7618% per year

33.7618% is the geometric mean annual increase for the period

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Answer: 8 = g

Step-by-step explanation:

56 divided by 7 = g

8 = g

Answer:

Step-by-step explanation:

Cyndee invests $50,000 in accounts earning 3%, 5%, and 6% annually, for a total annual return of $2120. She puts twice as much in the first account as in the third. You want to know the amount invested in each account.

Let x represent the amount invested in the third account. Then 2x is the amount invested in the first account, and (50000 -3x) is the amount invested in the second account. The total return is ...

  0.03(2x) +0.05(50000 -3x) +0.06(x) = 2120

Simplifying the equation gives ...

  -0.03x +2500 = 2120

  380 = 0.03x . . . . . . . . . . add 0.03x-2120

  12,666 2/3 = x . . . . . . . divide by 0.03

  2x = 25,333 1/3

  50000 -3x = 12,000

Cyndee should invest 25,333.33 at 3%, $12,000 at 5%, and $12,666.67 at 6%.

a) The minimum 75% of commuters in Boston has a commute time within 2 standard deviation of the mean.

b) The minimum 60.93% of commuters in Boston has a commute time within 1.6 standard deviation of the mean.

c) Commute times within 1.4 standard deviation are lie between 15.48 to 38.72.

Explanation:

Given that

To find

So, according to the question

We know that

                            = (1- [tex]\frac{1}{k^2}[/tex] )×100

a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?

                            = (1- [tex]\frac{1}{2^2}[/tex] )×100

                            = (1- [tex]\frac{1}{4}[/tex] )×100

                            = ( [tex]\frac{4-1}{4}[/tex] )×100

                            =  [tex]\frac{3}{4}[/tex] ×100

                            = 3 × 25

                            = 75%

b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?

                            = (1- [tex]\frac{1}{1.6^2}[/tex] )×100

                            = (1- [tex]\frac{1}{2.56}[/tex] )×100

                            = ( [tex]\frac{2.56-1}{2.56}[/tex] )×100

                            =  [tex]\frac{1.56}{2.56}[/tex] ×100

                            = 1.56 × 39.06

                           = 60.93%

c) What are the commute times within 1.4 standard deviation?

     commute times  = 27.1 ± (1.4×8.3)

                                 = 27.1 ± 11.62

      for + sign,

                                 = 27.1 + 11.62

                                 = 38.72

      for - sign,

                                 = 27.1 - 11.62

                                 = 15.48

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Answer: 24.33 units

Step-by-step explanation: If we appropriately measure the distance between the points we can depict a parallelogram with 2 sides measuring 6.083 units and 2 others measuring 4 units. We multiply 4 x 6.083 and get the area: 24.33 units

Answer: 24

Step-by-step explanation: As the formula to solve this equation is A= 1/2 | [(x1y2) - (x2y1)] + [(x2y3) - (x3y2)] + [(x3y4) - (x4y3)] + [(x4y1) - (x1y4)]

Which would be (with the numbers)

[(-3 x 4) - 1 x 4)] + [(1 x -2) - (0 x 4)] + [(10 x 2) - (-4 x -2)] + [(-4 x 4) - (-3 x -2)]

which lowers down too

(-12 - 4) + (-2 - 0) + (0 - -8) + (-16 - 6)

Then that gets us (absolute values) of

|-16| + |-2| + |8| + |-22|

using absolute values that gets us to

16 + 2 + 8 + 22

Which is equal to 48.

Don't forget to divide by 2 because we need half of it as it says in the beginning of the formula (A = 1/2)

So that gives us the answer of 24.

Hope this helped :)

Also, this could help by labeling each coordinate as a (X, Y) Number

[-3(x1) , 4(y1)}  (you could write the x and y part above it)

And then you go down the list and label each as either x1 , x2 , x3 , x4 (for the left side of comma) and then y1 , y2, y3 , y4 (for the right side of the comma)

Answer: 5.6 repeating

Step-by-step explanation: No explanation added.

The location of the mean and median by letter are C and B, respectively

The given parameter is the density curve that models the distribution of a quantitative variable

From the density curve, we can see that:

The density curve is a right-skewed distribution

In a right-skewed distribution, the median is the middle line and the mean is to the right of the median

This means that

Median = B

Mean = C

Hence, the location of the mean and median by letter are C and B, respectively

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Answer:

3

Step-by-step explanation:

9x-27=0

+27. +27

9x=27

x=3

Given parabola [tex]y=-2(x+3)^{2} +8[/tex]  have vertex (-3,8)

axis of symmetry :x=-3

x intercepts (-1,0),(5,0)

y intercepts (0,-10)

Maximum value (-3,8)

Range is y[tex]\leq 8[/tex] or (-∞,8]

Parabola is increasing in (-∞,-3) and decreasing in (-3,∞)

How to identify parabola type from vertex form and its attributes?

The parabola equation y=ax²+bx+c

The parabola equation in its vertex form is

y = a(x - h)² + k, where

a  is same as the a coefficient in the standard form;

(h, k)  is coordinates of the vertex of parabola

h and k can be calculated as

h = - b/(2a)

k = c - b²/(4a)

If a is negative the parabola opens downward and if a is positive the the parabola opens upward

Axis of symmetry : x= h

For  a parabola y=ax²+bx+c if a<0  then the range is y [tex]\leq k[/tex] and if a>0 then range is y[tex]\geq k[/tex]

For Maximum and minimum value , if a<0 then vertex is the maximum value and if a>0 then vertex is the minimum value.

For given equation [tex]y=-2(x+3)^{2} +8[/tex]

As this equation is in vertex form

h=-3, a=-2, k=8

Therefore, vertex = (-3,8)

For x intercept put y=0

Then [tex]y=-2(x+3)^{2} +8\\y\\=-2x^{2} -12x-10\\y=0\\\\x=-1,-5\\put x=0 \\y= -10[/tex]x intercepts (-1,0),(5,0)

y intercepts (0,-10)

Axis of symmetry : x= -3

[tex]y=-2(x+3)^{2} +8\\y=-2x^{2} -12x-10[/tex]

As a is negative therefore range is y[tex]\leq 8[/tex] or (-∞,8]

As a is negative therefore vertex (-3,8) is the maximum value

f'(x)= -4x-12

f'(x)=0 gives x= -3

f'(x)>0 in (-∞,-3), parabola is increasing in (-∞,-3)

f'(x)<0 in (-3,∞), parabola is decreasing in (-3,∞)

Please find the graph attached.

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Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

The acute angle the ladder makes with the ground is 69.3 degrees.

The ladder is 5.1 m and it is leaning against a wall.

The wall is perpendicular to the ground.

This means the ground forms 90 degrees with the wall.

This situation forms a right angle triangle.

Therefore, the acute angle the ladder forms with the ground can be found as follows:

Using trigonometric ratios,

cos ∅ = adjacent / hypotenuse

where

∅ = acute angle

Therefore,

adjacent side = 1.8 m

hypotenuse side = 5.1 m

Hence,

cos ∅ = 1.8 / 5.1

∅ = cos⁻¹ 0.35294117647

∅ = 69.3326835065

∅ = 69.3°

Therefore, the acute angle the ladder makes with the ground is 69.3 degrees.

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Answer:

[tex]\frac{-10}{7}[/tex]

Step-by-step explanation:

Use the formula

m= [tex]\frac{y2-y1}{x2-x1}[/tex]

another way to say this is Δy divided by Δx

Δ means "change in"

m = slope

The y2 value is -7

The y1 value is 3

The x2 value is 5

The x1 value is -2

Plug those values in the formula

m = [tex]\frac{(-7)-3}{5-(-2)}[/tex]

Simplify

m = [tex]\frac{-10}{7}[/tex]

The slope is [tex]\frac{-10}{7}[/tex]

Answer:

3/30 for 66 lo siento I core help you

4-3i^2

Step-by-step explanation:

The number of miles she should run on Friday is 2 3/4 miles.

Given that, Leah is training to run a half marathon her goal training is to run 20 miles a week. she ran 3 1/2 miles on Monday 4 3/4 miles on Tuesday 5 miles on Wednesday and 4 miles on Thursday.

We need to find how many miles will she need to run on Friday in order to meet her goal.

Follow these steps to add mixed fractions:

Now, the number of miles she ran together from Monday to Thursday

=3 1/2 + 4 3/4 + 5 + 4 =(3+4+5+4)(1/2 + 3/4)

=16 (2/4 + 3/4)

=16 5/4

=17 1/4

Remaining miles = 20-17 1/4

=20-69/4

=(80-69)/4

=11/4

=2 3/4

Therefore, the number of miles she should run on Friday is 2 3/4 miles.

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Answer:

D. [tex]2^9[/tex]

Step-by-step explanation:

[tex]2^6*2^3 = 2^9[/tex]

We can just add the exponents together.

If it were continued another 120 minutes past this, it would be

[tex]2^9*2^3 = 2^1^2[/tex]

Based on the fact that Gina has $10.00 to spend, if she only buys oranges, the number of oranges she can buy is 29.41176 oranges.

The number of oranges that Gina can buy when she visits her local farm to buy apples and oranges for a fruit salad can be found as:

= Amount that Gina has to spend / Price of oranges

Solving for the total amount of oranges gives:

= 10 / $0.34

= 29.41176 oranges.

The full question is:

Gina visits her local farm stand to buy apples and oranges to make a fruit salad. She has​ $10.00 to spend. If she buys only oranges and oranges are $0.34 how much oranges can she buy

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Answer: -2, -6/11

Step-by-step explanation:

[tex]11x^2 +28x=-12\\\\11x^2 +28x+12=0\\\\(11x+6)(x+2)=0\\\\x=-2, -6/11[/tex]

[tex]\frac{1}{2^{4} }[/tex]  is simple form of the equation.

What in mathematics is a linear equation?

Simply solve this equation = [tex](2^{4}) ^{-1}[/tex]

multiply the powers   = [tex]2^{-4}[/tex]

now right on simple form  = [tex]\frac{1}{2^{4} }[/tex]

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Answer: 699 m^2

Step-by-step explanation:

Polygon A's area is 1/25 times of Polygon B's area.

In geometry, a polygon is a two-dimensional closed shape with straight sides that is flat or plane. It doesn't have any curved edges.

Now, as per the given question;

The formula of the scale factor is given as;

Area of Polygon B = (scale factor)²×(Area of Polygon A).

The scale factor is given as 5.

(Area of Polygon B)  = (5)²×(Area of Polygon A)

Further simplifying;

(Area of Polygon B) = (25)×(Area of Polygon A)

or,

Area of Polygon A = (1/25)×Area of Polygon B

Therefore, the area of polygon A is found to be 1/25 times times the area of the polygon B.

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It should be noted that Ruby will be able to reach the fish

It should be noted that sea level simply means the sea base level that is used for measuring the elevation and the depth on the Earth.

It should be noted that Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water and Ruby holds a 1-meter long net at 0.5 meter above sea level.

It should be noted that he will be able to each the fish. This will be illustrated as:

=1m - (0.4 + 0.5)

= 1 - 0.9

= 0.1m

Therefore, the long net is enough to reach the fish.

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Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water. If Ruby holds a 1-meter long net at 0.5 meter above sea level. Can she reach the fish?

Answer: Racing $.50

Pinball $.75

Air Hockey $1.50

The solution to the inequality is x ≤ 3

The compound inequality is given as:

5x ≤ -30 and 5x ≤ 15

Divide both sides of the individual inequality in the compound inequality by the coefficient of the variable x

So, we have

x ≤ -6 and x ≤ 3

One of the above inequalities can be true

x ≤ 3 is a proper set of x ≤ -6

So, the solution to the inequality is x ≤ 3

See attachment for the graph of the inequality

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Sticker price refers to the published tuition and fees, whereas net price refers to the amount the student actually pays after financial help which is much lower than the sticker price.

The sticker price of a college education is the entire annual cost. This cost covers the whole cost of tuition every year, books, lodging, and board, as well as any other charges the campus may levy, such as a parking permit or library card fee.

In this report, there are two prices listed: a sticker price and a net price. The sticker price of a college education is the entire annual cost. Every year's full tuition, books, housing, and board are included in this amount.

Hence sticker price refers to the published tuition and fees

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A--->A'=(-2,6)

B--->B'=(7,3)