Given that (y+2), (y+3)and (2y^2+1) are consecutive terms of an arithmetic progression find the value of x

Answer:

b = sqrt(161)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

8^2 + b^2 = 15^2

64 + b^2 = 225

Subtract 64 from each side

b^2 = 225-64

b^2 =161

Take the square root of each side

sqrt(b^2) = sqrt(161)

b = sqrt(161)

Answer:

8.17.4 miles per 1 gallons 9. 2 miles per second.

Step-by-step explanation:

so you have yo divide 384 divided by 22 then boom.

Once again you have to divide 60 which is 1 hour (60 minutes is an hour) to the 32 miles. :)

Problem 8

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

Explanation:

You divide the number of miles over the number of gallons to get this result

384/22 = 17.45

Another way you could think of it is to say

384 miles = 22 gallons

Then you divide both sides by 22 getting

17.45 miles = 1 gallon

Showing that 1 gallon of gas gets you roughly 17.45 miles

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

Problem 9

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

Explanation:

Check out the attached diagram below. For the first column, I placed "32 miles" over "1 hour" to indicate "32 miles per hour". The second column is from the idea that 1 hour = 60 minutes. This helps us convert from hours to minutes. Note how the "hour" units cancel when we divide.

The third column helps us convert from minutes to seconds. We have the "minutes" units cancel out when they divide. It's important that one "minute" unit is on top, and the other is on the bottom. Finally, the last column helps us convert from miles to feet since 1 mile = 5280 feet.

Once this table formed, you multiply the numbers across the top to get 32*1*1*5280  = 168960

And you multiply everything along the bottom row: 1*60*60*1 = 3600

The last step is to divide the two results (top row over bottom row) getting

168960/3600 = 46.933 approximately

So 32 mph converts to roughly 46.933 ft per second.

Side note: the conversion method I used is called the "railroad method" or "railroad tracks method" as the table lines form what appears to be railroad tracks of sorts.

Answer:

Why is looking at cash flow an important step in a good financial plan ? At the most fundamental level, a company's ability to create value for shareholders is determined by its ability to generate positive cash flows, or more specifically, maximize long-term free cash flow

Step-by-step explanation:

Answer:

Well,

Step-by-step explanation:

First, we need it so we don't get in low finical areas and owe the government tons of money. We also need it for our houses and if you start checking your cash flow and you see its low and you want to make it higher than that helps too! But, its very good for your bank account and helps you grow ideas to your financial plan. Hopes this helps!

Answer:

6x+2y just add them lol

Step-by-step explanation:

Answer:

8x + 3y - 2x - y

8x - 2x + 3y -y

6x - 3y

is your answer

brain list plzzz

Answer:

Step-by-step explanation:

-2(36) - 18 - 8

-72 - 26

-98 is the solution

Answer:

26.6°

Step-by-step explanation:

The area of a triangle is given by (1/2) * (base) * (height). The two triangles share the same height, so in order for the shaded triangle to have twice the area, its base must be twice that of the non-shaded triangle.

The non-shaded triangle is a right triangle with two 45° angles, so it's an isoceles right triangle with a base equal to its height.

This means that the height of the shaded triangle is 1/2 of its base. Knowing that we can get the angle of ACB with:

tan⁻¹(1/2) ≈ 0.4636476 (in radians)

Convert to decimal angle:

0.4636476 * (180/π) ≈ 26.6°

Answer:

875 ft³

Step-by-step explanation:

First, let's break it down into three different sections.

Starting with the cube on the bottom and then the rest of the Rectangular Prism.

The formula for Volume Cube  V = a³

The formula for Volume of Rectangular Prism:  V = lwh

From the picture we can see that the bottom is a cube with a lenght of 5 ft thus V = 5³ = 125 ft³

The second Rectangular Prism in the middle has a lenght of 20 ft (15 + 5), a width of 5 ft and a height of 5 ft. Use the formula above 20x5x5 = 500 ft³

The top  Rectangular Prism has a lenght & with of 5 ft and a height of 10 ft.

So again 5x5x10 = 250 ft³

Now all we need is to add them all together:

125 + 500 + 250 = 875 ft³

Answer:

e

Step-by-step explanation:

Answer: [tex]w=\dfrac{V}{lh}[/tex]

Step-by-step explanation:

Given: The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height.

We rearrange this formula by dividing  ℓh both sides of the formula to get the new formula for the width of the rectangular prism, we get'

[tex]w=\dfrac{V}{lh}[/tex]

Hence, the new formula for the width of the rectangular prism. :

[tex]w=\dfrac{V}{lh}[/tex]

Answer:

1,000 because it's in the thousands place

Step-by-step explanation:

Answer: The answer is y=9 i did the math twice to make sure.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The equation is in the form:

Ax + By =C

3x + 2y = 18

y-intercept = C/B = 18/2 = 9

Answer:

3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

Given the inequality expression |x| < 4 where x is unknown. To her the possible values of x, we must undeterstand that the absolute value of a number returns both positive and negative value.

Hence |x| can either return +x or -x

If x is positive, the inequality expression will be x<4.

If the value of x is negative, then -x<4

From -x<4

Multiply both sides by minus sign will change the sense of the inequality sign.

-(-x) > -4

x>-4

If x is greater than -4, then -4<x.

Combining both inequality will give;

-4 < x and x<4

-4<x<4

Hence the possible values of Javier's number are integers between -4 and 4.

The values are -3, -2, -1, 0, 1, 2, 3.

Answer:

  $125

Step-by-step explanation:

With a 20% off coupon, the price you pay is 80% of the marked price. If that amount is $100, you have ...

  $100 = 0.80p

  p = $100/0.80 = $125

The maximum price of the shoes you can buy is $125.

_____

Check

20% of $125 is -.20×$125 = $25. When that is subtracted, the price you pay is ...

  $125 -25 = $100

Answer:

$125

Step-by-step explanation:

let the maximum price be 'x'

[tex]x -( \frac{20}{100} \times x) = 100[/tex]

[tex]x - ( \frac{x}{5} ) = 100[/tex]

[tex] \frac{4x}{5} = 100[/tex]

[tex]4x = 500[/tex]

[tex]x = 125[/tex]

Answer:

GK = 10x+1

GH = 16.4

HK = 20.6

Step-by-step explanation:

Given the expressions 4x+2=GH, 6x-1=HK and GK = 37, according to vector addition GH + HK = GK

Substituting the functions into the formula we will have:

GK = 4x+2 + 6x-1

collect like terms

GK = 4x+6x +2-1

GK = 10x+1

The algebraic expression that represents GK is 10x+1.

To get the value of x, since GK = 37

10x+1 = 37

10x = 37-1

10x = 36

x = 36/10

x = 3.6

Since GH =4x+2, substitute x = 3.6 into the function

GH = 4(3.6)+2

GH = 14.4+2

GH = 16.4

Also HK = 6x-1

HK = 6(3.6)-1

HK = 21.6-1

HK = 20.6

Hence the algebraic expression that represents GK is 10x + 1 and the value GH is 16.4, HK is 20.6

Answer:

64

Step-by-step explanation:

Hello, we can write this two digit number 'ab', a and b being positive integer between 0 and 9.

For instance , 54, a = 5 and b =4

The number can be written 10*a+b (54=5*10+4, for instance)

The sum of a two digit number is 10.

a + b = 10

The value of the number is 16 times the units digit.

10a + b = 16b <=> 10a = 16b - b = 15b

[tex]<=> a = \dfrac{15}{10}b=\dfrac{3}{2}b=\dfrac{3}{2}(10-a)=15-\dfrac{3}{2}a\\\\<=> \dfrac{2+3}{2}a = 15\\\\<=> 5a=30 <=> a = 6[/tex]

and then, b = 10 - 6 = 4.

So the solution is 64.

Thank you

Answer:

t-5 = Ned's age

Step-by-step explanation:

t = teds age

Ted is 5 years older than Ned

t = Ned +5

Subtract 5 from each side

t-5 = Ned

t-5 = Ned's age

ted = 5 tears older than Ned.

ted = t years.

→ t = Ned's age + 5

→ Ned's age + 5 = t

→ Ned's age = t - 5

So,

Then, t - 5 = Ned's age.

Answer:

about $1.90

Step-by-step explanation:

$320 per week.

There are 168 hours in a week.

$320 divided by 168 hours = about $1.90 an hour

Check: $1.90 x 168= $319.2 (rounded to $320)

Answer:

Step-by-step explanation:

From Thales' theorem:

                                        [tex]\dfrac y7\ =\ \dfrac45\\\\y=\dfrac45\cdot7\\\\y = \dfrac{28}5\\\\y = 5.6[/tex]

Answer:

b. 8a-35s

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

answer 10 10x10= 100 100/10=10

Answer:

If we stipulate that a baby is premature if the length of pregnancy is in the lowest 4%, find the length that separates premature babies from those who are not premature. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

hope it helps :)

please mark it the brainliest!

Answer: $1,500

Step-by-step explanation:

Let x represent the total income.

20% of the total amount = 300   -->  0.20x =  300

                                                          ÷0.20     ÷0.20

                                                                   x = 1500

Answer:

The total income is $1,500.

Step-by-step explanation:

$300 / 20% = $15       [ budget percent x 15 = budget amount in dollars]

Housing:            10 x 15 = $150

Food:                  30 x 15 = $450

Fuel:                    15 x 15 = $225

Clothing:            20 x 15 = $300

Health:                15 x 15 = $225

Miscellaneous:   10 x 15 = $150

Total Income:   150+450+225+300+225+150 = $1500

Answer:

[tex]sin\theta =\pm\dfrac{4}{5}\\tan\theta =\pm\dfrac{3}{4}[/tex]

Step-by-step explanation:

Kindly refer to the attached image of a right angled [tex]\triangle ABC[/tex].

Let [tex]\angle C = \theta[/tex]

Sides BC = a

AB = c and

AC = b respectively.

To prove:

[tex]sin^2\theta+cos^2\theta =1[/tex]

Proof:

Using Sine and Cosine values:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta =\dfrac{AB}{AC} = \dfrac{c}{b }[/tex]

[tex]cos\theta =\dfrac{Base}{Hypotenuse}\\\Rightarrow cos\theta =\dfrac{BC}{AC} = \dfrac{a}{b}[/tex]

As per Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow b^{2} = a^{2} + c^{2} .......... (1)[/tex]

Considering the LHS of [tex]sin^2\theta+cos^2\theta =1[/tex]:

[tex](\frac{c}{b})^2+(\frac{a}{b})^2\\\Rightarrow \frac{c^2+a^2}{b^2}[/tex]

Now, using equation (1):

[tex]\Rightarrow \dfrac{b^2}{b^2} = 1 = RHS[/tex]

Hence, proved that : [tex]sin^2\theta+cos^2\theta =1[/tex]

Now, we are given that:

[tex]cos\theta =\frac{4}{5}[/tex]

To find, sine and cosine values of the angle i.e. [tex]sin\theta = ?[/tex] and [tex]tan\theta = ?[/tex]

Using [tex]sin^2\theta+cos^2\theta =1[/tex]:

[tex]sin^2\theta+(\dfrac{4}{5})^2 =1\\\Rightarrow sin^2\theta = \dfrac{9}{25}\\\Rightarrow sin\theta = \pm \dfrac{3}{5}[/tex]

We know that:

[tex]tan\theta =\dfrac{sin\theta}{cos\theta}\\\Rightarrow tan\theta =\pm \dfrac{\dfrac{3}{5}}{\dfrac{4}{5}}\\\Rightarrow \bold{tan\theta =\pm \dfrac{3}{4}}[/tex]

Answer:

37.68cm (i used 3.14 for pi)

Answer:

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. Yes it also matter because x axis go sideways and the y axis goes up and down. Hope this helps

Answer:

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

Step-by-step explanation:

Answer:

[tex]y = 0.01092395604x^3[/tex]

Step-by-step explanation:

Given:

[tex]y = 0.000304x^3[/tex]

Where y is in pounds and x is in inches

Required

Represent y in kilogram and x in centimetre

[tex]y = 0.000304x^3[/tex]

The expression can be rewritten as

[tex](y\ pound) = 0.000304(x\ inch)^3[/tex]

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

If [tex]0.394\ inch= 1\ cm[/tex]

Divide both by 0.394

[tex]\frac{0.394\ inch}{0.394}= \frac{1\ cm}{0.394}[/tex]

[tex]1\ inch= \frac{1\ cm}{0.394}[/tex]

[tex]1\ inch = 2.538\ cm[/tex] (Approximated)

Multiply both sides by x

[tex]x * 1\ inch = 2.538\ cm * x[/tex]

[tex]x \ inch = 2.538x\ cm[/tex]

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

If [tex]2.20\ pound = 1\ kg[/tex]

Divide both by 2.20

[tex]\frac{2.20\ pound}{2.20} = \frac{1\ kg}{2.20}[/tex]

[tex]1\ pound = \frac{1\ kg}{2.20}[/tex]

[tex]1\ pound = 0.455\ kg[/tex] (Approximated)

Multiply both sides by y

[tex]y * 1\ pound = 0.454\ kg * y[/tex]

[tex]y \ pound = 0.454y\ kg[/tex]

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

Substitute 0.455y kg for y pound and 2.538x cm for x inch in [tex](y\ pound) = 0.000304(x\ inch)^3[/tex]

[tex]0.454y = 0.000304(2.538x)^3[/tex]

[tex]0.454y = 0.000304(16.35x^3)[/tex]  Approximated

[tex]0.454y = 0.0049704x^3[/tex]

Divide both sides by 0.455

[tex]\frac{0.455y}{0.455} = \frac{0.0049704x^3}{0.455}[/tex]

[tex]y = \frac{0.0049704x^3}{0.455}[/tex]

[tex]y = 0.01092395604x^3[/tex]

The line crosses (1/2,0) and (0,4/7)

Let m be the slope of this line

● m = [0-(4/7)]/[(1/2)-0)]

● m = (-4/7)/(1/2)

● m = (-4×2)/7

● m = -8/7

So the slope of this line is -8/7

Answer:

T = 100I/PR

Step-by-step explanation:

1) Original: I = PRT/100

2) Multiply both sides by 100: 100I = PRT

3) Divide both sides by PR: 100I/PR = T

Answer:

gr uf

Step-by-step explanation:

Answer:

B) 1820

Step-by-step explanation:

10% = 2600 ÷ 10 = 260

30% = 260 x 3 = 780

2600 - 780 = 1820

Hope this helps! :D

Answer:

[tex]M(-\dfrac{3}{2}, -2)[/tex]

Step-by-step explanation:

[tex]M(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2})[/tex]

[tex]M(\dfrac{-3 + 0}{2}, \dfrac{3 + (-7)}{2}) =[/tex]

[tex]= M(\dfrac{-3}{2}, \dfrac{-4}{2})[/tex]

[tex]= M(-\dfrac{3}{2}, -2)[/tex]