59) You are given the equation y=24+3x

a. Make up a story that matches the equation

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=x\\ h=12\\ V=602.88 \end{cases}\implies \begin{array}{llll} 602.88=\pi (x)^2(12)\implies \cfrac{602.88}{12\pi }=x^2 \\\\\\ \sqrt{\cfrac{602.88}{12\pi }}=x\implies 4.0\approx x \end{array}[/tex]

The sequence 15, 18, 108/5 is a geometric sequence

The value of the 7th term is [tex]44\frac{2468}{3125}[/tex]

The sequence is given as:

15, 18, 108/5

The above sequence is a geometric sequence with the following parameters:

First term, a = 15

Common ratio = 18/15

The nth term of a geometric sequence is:

an = a * r^(n - 1)

So, the 7th term is:

a7 = a * r^6

This gives

a7 = 15 * (18/15)^6

Evaluate

[tex]a_7 = 44\frac{2468}{3125}[/tex]

Hence, the value of the 7th term is [tex]44\frac{2468}{3125}[/tex]

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Answer:

f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ). Solution. Step 1. Find ( f – g ) ( x ). ( f – g ) ( x ) = f ...

Step-by-step explanation:

Answer: $16

r=remainder

s=spent

r'=final remainder

160

160-(160 x .20) = r OR 160 x .80 = r

160-32 = r = 128 = 160 x .80 =

Then , 7/8 is lost so:

128 - (7/8 x 128) :

7/8=.875

128-(.875 x 128)

Using PEMDAS:

128-(112):

128-112= $16

Answer:

160 is greater than 2 and a half minutes.

Step-by-step explanation:

Answer:

It should be 2/5 hours. 4/5 - 2/5 is 2/5.

Step-by-step explanation:

The true statement about the distribution of the z score is that they have (a) same shape as the distribution of raw scores.

The z score of a dataset is calculated using:

z = (x - μ)/σ

Where

The above formula implies that the z-scores are derived from the raw scores, and so they would have the same shape as the raw score

Hence, the true statement is (a) same shape as the distribution of raw scores.

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Answer:

9.5 * 10^23 molecules of HCl

Step-by-step explanation:

just a note this might be better to put in the chem section next time since this is a stoichiometry question

the molar mass of HCL is 1.007 + 35.45 = 65.457 g/mol

to find the number of moles, divide 100 by 65.457

then multiply the number of moles by 6.22 * 10^23 to get the number of molecules

[tex]100.00g * \frac{1 mol}{65.457g} * \frac{6.22 * 10^{23} molecules }{1 mol} = 9.502 * 10^{23} molecules[/tex]

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

As we know that,

Finding Slant height:

➝ L = √r² + h²

➝ L = √(16)² + (12)²

➝ L = √256 + 144

➝ L = √400

➝ L = 20 cm

Now,

Substituting the required values,

➝ LSA = 22/7 × 16 × 20

➝ LSA= 7040/7

➝ LSA ≈ 1005 cm²

Hence,

Answer:

15g-h is the answer......

Answer:

12 is the polynomial degree

Answer:

2.39 meters

Step-by-step explanation:

Given:

Circumference:

[tex]\displaystyle \large{C=2\pi r}[/tex]

Therefore:

[tex]\displaystyle \large{15.03=2\pi r}[/tex]

Divide both sides by 2π:

[tex]\displaystyle \large{\dfrac{15.03}{2\pi}=\dfrac{2\pi r}{2\pi}}\\\displaystyle \large{2.3920... = r}[/tex]

Round to nearest hundredth:

[tex]\displaystyle \large{r=2.39}[/tex]

Therefore, the radius is 2.39 meters

Answer:

A: 5 cm2

B: 9 3/8 cm2

Step-by-step explanation:

Question A:

4 x 1 1/4

4/1 x 5/4 = 20/4

20/4 = 5 cm2

Question B:

3 3/4 x 2 1/2

15/4 x 5/2 = 75/8

75/8 = 9 3/8 cm2

Answer:

11.50x - $10.23 = $81.77

Step-by-step explanation:

$11.50 is how much he made per hour and X is the number of lawns he mowed, but we don't know exactly how many.

$11.50x tells us how much money he made.

He spent some of that money, $10.23, on maintenance so

$11.50x - $10.23 he spent = $81.77 which is the amount of money they said he has left

Answer:

x° = 37.13°

Step-by-step explanation:

13.4 = cathetus opposite the angle "x°"

22.4 = hypotenuse

[tex]sin(x^{o}) =\frac{13.4}{22.2}=0.6036[/tex]

[tex]x^{o} =sin^{-1} (0.6036)=37.13^{o}[/tex]

Hope this helps

the 8th term of the geometric sequence 8, 16, 32 is 1024

first we have to find the ratio

r=2

then, we have to find the 8th term

U8=1024

Essentially, we want to find the number of ounces of dough she used to measure:

   ⇒ which means that we must convert the:

      ⇒ grams of dough to ounces of dough

        ⇒ 28.6 grams  = 1 oz

Essentially,we can set up a proportion:

    ⇒ 28.6 grams to 1 oz

        ⇒ is to 200.2 grams to 'x' oz

  (mathematically)

   [tex]\frac{28.6}{200}=\frac{1}{x} \\28.6x = 2000\\x = 6.99[/tex]

Thus 200.2 grams is to 7 oz (rounded)

Answer: 7 ounces

Hope that helps!

Answer:

B. y=-x-3

Step-by-step explanation:

[tex]f(x) = ax + b \\ a = - 1 \\ (x \: y) = ( - 5 \: \: 2) \\ f( - 5) = - ( - 5) + b = 2 \\ 5 + b = 2 \\ b = - 3 \\[/tex]

So,

[tex]f(x) = - x - 3 \\ y = - x - 3[/tex]

Hope it helps

Equation in point slope form

1

hope it helps....!!!!!

Answer:

With Outlier:

Median: 85
Mean: 103
Mode: 85

Without Outlier:
Median: 85
Mean: 85
Mode: 85

Step-by-step explanation:

Basically order the numbers from least to greatest. Include the outlier to find the median, mean, and mode. The median is clear as day with the outlier, being the middlemost number: 77, 84, 85, 85, 88, 91, 211. To find the mean, just add all of the numbers together and then divide them by how many numbers there are. In this case, that'd be 7 and you get 103. The mode is simple as it's the number that repeats the most, which is basically 85 since it repeats twice in the set. After you find the median, mean, and mode with the outlier, now rewrite the numbers (still least to greatest) but excluding the outlier (211). It should now be 77, 84, 85, 85, 88, 91. For the median, our middlemost numbers are 85 and 85, so simply just add them together and then divide by two. This gets you 85 for the median. For the mean, simply just add the numbers in the new set excluding the outlier and divide by 6 since that's how many numbers we have in the set now. This gives you 85. The mode is the number most repeated, and that's still 85.

Answer: B

Step-by-step explanation:

The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

here, we have,

In the graph, we can see two asymptotes at x = 1.

This means that the denominator is equal to 0 when x = 1, then we can write:

f(x) = A/(x - 1)

Where we can start thinking that A is a constant.

Now we also can see that when x = 2, f(2) is equal to 1, or:

f(2) = 1.

Then:

f(2) = 1   = A/(2 - 1) = A/1

Then we have  A = 1.

Then our function is:

f(x) = 1/(x - 1)

Hence, The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.

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Answer:

145000x2

=answer

then

answer×2

= final answer

Answer:

580,000 people

Step-by-step explanation:

First, find out how many times the population will double. Divide the number of years by how long it takes for the population to double.

48÷24=2

The population will double 2 times.

Now figure out what the population will be after it doubles 2 times. Multiply the population by 2 a total of 2 times.

145,00022=580,000

That calculation could also be written with exponents:

145,000 x 2^2=580,000

After 48 years, the population will be 580,000 people.

Answer:

a

Step-by-step explanation:

The value of the 1 in the ones place is 1/10 the value of the 1 in the tenths place.

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

[tex]A= P(1+\frac{r}{n})^{nt} \\[/tex]

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

[tex]A= 1030(1+\frac{.04}{2})^{(2)(2)} \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125[/tex]

This rounds up to $1114.91

Check the picture below.

so the wall is 146 inches wide, half of that is 73 inches.

the painting is 30 and 1/2 inches wide, half that is 15 and 1/4 inches.

if we subtract half the width of the painting from half the wall's width, the center of the painting will match the center of the wall.

[tex]73~~ - ~~15\frac{1}{4}\implies 73~~ - ~~\cfrac{61}{4}\implies \cfrac{292~~ - ~~61}{4}\implies \cfrac{231}{4}\implies 57\frac{3}{4}[/tex]

Answer:

A

Step-by-step explanation:

i had the same question when i had honors trust me :> you gut this

The probability of drawing a blue marble is the likelihood of blue marbles

The experimental probability of drawing a blue marble is 3/14

The probability of drawing a blue marble is calculated using:

P(Blue) = Blue/Total

So, we have:

P(Blue) = 12/(20 + 24 + 12)

Evaluate the sum

P(Blue) = 12/56

Simplify

P(Blue) = 3/14

Hence, the experimental probability of drawing a blue marble is 3/14

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Answer: 3/14

Step-by-step explanation:

Answer:

  legs limit the number of chairs that can be built

Step-by-step explanation:

The maximum number of chairs that can be built will be the minimum of the number of parts divided by the number of parts needed for each chair, as computed across the different kinds of parts required.

  seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible

  backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible

  legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible

The maximum number of chairs that can be built will be the minimum of 12, 15, and 11. That is, 11 chairs can be built, limited by the number of available legs.

Yes the pre image and image are congruent always

See

They are transformed through a constant scale factor so they ought to be same .

And

If there angles of one triangle (pre image) are congruent to rest three(image) then triangles are congruent by AAA congruence

Answer:

She drinks 4.5 oz in 1 hour.

Step-by-step explanation:

First,

1/2 of 6 would be 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2 / 3 hr

Multiply both sides by 3 to get 2 alone.

3*(3 oz) = 3*(2/3 hr)

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hours.

9 / 2 oz = 2 / 2 hrs

Divide both sides by 2 so you can get how much she drinks in one hours

4.5 oz = 1 hr