Select the correct answer.

Tracy wants to make a cylindrical model. The height of the cylindrical model, H(V), in inches, is modeled by this

equation, where Vis the volume of the cylindrical model, in cubic inches.

H(V) = 2. 6937

What is the average rate of change of the model's height when its volume changes from 512 cubic inches to

1,000 cubic inches?

The model's height increases by approximately 21. 52 inches for every 1-cubic-inch increase in its volume.

The model's height increases by approximately 0. 022 inch for every 1-cubic-inch increase in its volume.

The model's height increases by approximately 0. 011 inch for every 1-cubic-inch increase in its volume.

The model's height increases by approximately 26. 9 inches for every 1-cubic-inch increase in its volume.

The final statement is: The rate of interest is 7% and simple interest is $12.60

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: Principal =$180 And amount after one year=$192.60

Therefore simple interest= 192.60-180

                                          =12.60

∴12.60=180×r×1/100

 r=7%

Hence, The rate of interest is 7% and simple interest is $12.60

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#SPJ1

Answer:

2

Step-by-step explanation:

One we student has 9 letters and another has 10 letters

The two angles form a straight line and need to equal 180 degrees

180 - 61 = 119

The missing angle is 119 degrees

Answer:

  (d)  as a triangle, a rectangle, and a semicircle

Step-by-step explanation:

The description of the shape tells you how to decompose it. The shape is described as a semicircle, a rectangle, and a triangle. The appropriate decomposition is ...

  as a triangle, a rectangle, and a semicircle

Answer:

d

Step-by-step explanation:

Answer:

432 feet^2

Step-by-step explanation:

If we fill in the edges, it'll be 24x8, since 16+2 is 18, and 20+2(2) is 24. 24x18 is 432. Brainliest please.

The probability of selecting two orange marbles with replacement is 36/169.

Data;

Since after each draw, the orange marble is replaced.

The total number of marbles in the bag is

6+3+4 = 13

And the number of orange marbles is 6.

For the first selection, the probability of selecting one orange is

[tex]P = \frac{6}{13}[/tex]

After drawn and replaced, the probability of selecting another marble is

[tex]P = \frac{6}{13}[/tex]

And the probability of selecting two orange marbles with replacement is

[tex]P = \frac{6}{13} * \frac{6}{13} = \frac{36}{169}[/tex]

The probability of selecting two orange marbles with replacement is 36/169.

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Answer: Volume: 65.4 Weight: 46.4

Step-by-step explanation:

Density describes mass per unit volume. The weight of each of the considered chocolate truffle is 46.47 grams approx.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

We're given that:

Volume of each chocolate truffle = volume of sphere with radius 2.5 cm

=  [tex]\dfrac{4}{3} \pi (2.5)^3 \approx 65.45 \: \rm cm^3[/tex]

One cubic cm has 0.71 grams weight,

so one truffle, which has 65.45 cubic cm of chocolate, will weigh approx[tex]0.71 \times 65.45 \approx 46.47 \: \rm g[/tex]

Thus, the weight of each of the considered chocolate truffle is 46.47 grams approx.

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Answer:

30,976

Step-by-step explanation:

=}.

[tex](11 {}^{3} \times 4 { }^{2} \binom{}{11 {}^{2} } ) {}^{2} [/tex]

=}.

[tex](11 \times 4 {}^{2} ) {}^{2} [/tex]

=}.

[tex]121 \times (4 {}^{2} ) {}^{2} [/tex]

=}.

[tex]121 \times 256[/tex]

=}. 30,976

Answer:

Answer given above

Step-by-step explanation:

11^2 * 4^4

Hey there!
Linear functions have a continuous change.

Let's check these tables and see if we can tell linear functions from non-linear functions.

The first one is

- we add 1 each time

- we subtract 3 each time

[tex]\rule{200}{2}[/tex]

Let's try the next one:

- we add 1 each time

- we add 5 each time

[tex]\rule{200}{2}[/tex]

Let's try the third one:

        - we add 3, then 2, then 1..

So this table doesn't represent a linear function.

Let's check the fourth one:

- we add 1 each time

- we add 1 each time

Thus, Option C is the right option.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

Step-by-step explanation:

5x^2 - 125 factors into 5 (x^2 - 25)

x^2 - 25 factors into  (x + 5)(x - 5)

So the answer to this part is 5(x + 5)(x - 5)

x^2 -  10x + 25 factors into

(x - 5)(x - 5)

So the HCF is (x - 5)

Yes julia is correct the run of the scond similar triangle will be b2=25.

The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.

In the given:

Height of first triangle h=3

Base of first traingle =10

Height of second triangle =7.5

The base of second triangle b2 = ?

From the triangle similarity

[tex]\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}[/tex]

[tex]\dfrac{3}{10}=\dfrac{7.5}{b_2}[/tex]

[tex]b_2=\dfrac{7.5\times 10}{3}[/tex]

[tex]b_2=25[/tex]

Thus julia is correct the run of the scond similar triangle will be b2=25.

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Answer:

m = 4

Step-by-step explanation:

(80, 40) and (90, 80)

40/10= 4

Answer:

4

Step-by-step explanation:

choose two points

I chose (80,40) and (90,80)

(80-40)÷(90-80)

40/10

4

Answer:

Adult Ticket = $13.00, Children Ticket = $4.00

Step-by-step explanation:
13*4=52, 4*9=36, 52+36=88

13*7=91, 4*5=20, 91+20=111

Answer:

0.125 = ⅛

Step-by-step explanation:

Both are equal.......

Answer:

C. 15 cm

Step-by-step explanation:

The formula to find the area of a circle is: π × r²

But since we need to solve for the radius, we use the formula:

[tex]r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}[/tex]

r = radius

A = area

π = 3.14

Now we substitute the information given in the text into the equation

[tex]r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}[/tex]

Substitute values into the equation

[tex]r = \sqrt{ \dfrac{ 706.5 }{ 3.14 } \phantom{\tiny{!}}}[/tex]

Divide 706.5 by 3.14

[tex]r = \sqrt{ 225 }[/tex]

Take the square root of 225

[tex]r = {15 }[/tex]

So, the radius of the pie is 15 cm

Answer:

B: 3x + 7 - 7 = 16 - 7

Step-by-step explanation:

B: 3x + 7 - 7 = 16 - 7

Answer:

[tex]\boxed{\sf{B. \quad3x + 7 - 7 = 16 - 7}}[/tex]

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, subtract by 7 from both sides.

⇒ 3x+7-7=16-7

Solve.

⇒ 16-7=9

Rewrite the problem down.

⇒ 3x=9

Divide by 3 from both sides.

⇒ 3x/3=9/3

Solve.

Divide the numbers from left to right.

⇒ 9/3=3

⇒ x=3

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

⅙

Step-by-step explanation:

it could be 6 and 1, 5 and 2, 4 and 3, 3 and 4, 2 and 5 or 1 and 6.

It is 2 fair dice, so all together, the probability is 36.

6/36 can be simplified to ⅙

Answer:

x= ½, y= 7

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Label the equations}}[/tex]

6x -y= -4 -----(1)

2x +2y= 15 -----(2)

[tex]\textcolor{steelblue}{\text{\textcircled{2} Make y the subject of formula}}[/tex]

We could also make x the subject of formula in one equation, however the equation can be easily rearranged so that the coefficient of y is 1. This can be done by moving the y term to the right hand side of the equation, and the rest to the left. Note that each time you bring a term or constant over to the other side of the equation, its sign changes (e.g. positive to negative).

From (1):

6x +4= y

y= 6x +4 -----(3)

Label the equation as equation (3) so we can refer to it easily later.

[tex]\textcolor{steelblue}{\text{\textcircled{3} Substitute (3) into (2)}}[/tex]

Now that we have an equation of y that is written in terms of x, we can replace all the y in equation (2) so that the whole equation is only in terms of x.

Subst. (3) into (2):

2x +2(6x +4)= 15

Expand:

2x +12x +8= 15

Simplify:

14x +8= 15

14x= 15 -8

14x= 7

x= 7 ÷14

x= ½

[tex]\textcolor{steelblue}{\text{\textcircled{4} Find y}}[/tex]

Substitute x= ½ into (3):

y= 6(½) +4

y= 3 +4

y= 7

Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"

2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.

"Three cats share 2 cans of tuna. How much of a can does each cat receive?"

2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.

"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"

2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.

"Two apples are split among 3 people. How much of an apple does each person receive?"

Two apples split among 3 people - like the first 2 questions, this also equals 2/3.

"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"

Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.

"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"

Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.

Answer:

x = 16

Step-by-step explanation:

Given:

Therefore, total marks = 15 × 6 = 90

To find the value of x, add up the individual marks:

12 + 16 + 14 + 13 + 19 + x = 74 + x

Now equate this to the total number of marks found previously:

74 + x = 90

Solve for x:

⇒ 74 + x - 74 = 90 - 74

⇒ x = 16

Therefore, the value of x is 16.

Answer:

Area of a rectangle

A = lw

Answer:

937.5

Step-by-step explanation:

Given:

75% of 1250

Note:

Of = Multiply

Solve:

75% × 1250

= 937.5

~Lenvy~

Answer:

937.5

Step-by-step explanation:

We Know That 75% Is Same As 75

100

So, You Start By Dividing That, Or Making The Calculation Together, You Say

[tex] \frac{75}{100} \times \frac{1250}1[/tex]

[tex]0.75 \times 1250[/tex]

[tex] = 937.5[/tex]

Answer:  (x + 4)(x + 4)

                x² + 8x + 16

                x² + 4x + 4x + 16                

Step-by-step explanation:

See the image below.

Step-by-step explanation:

258

because there are 360 degrees in a circle. 360 - 102 = 258

Answer:

the annswer is 4155 because its in formal information

Step-by-step explanation:

the annswer is 4155 because its in formal information

Answer:

498. 498/6 = 83.

Step-by-step explanation:

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=2000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=2000(1.03)^2\implies A=2121.8[/tex]

Answer:

2,121.8

Step-by-step explanation:

2000(1.03)^2

please rate and mark as brainlest.

Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

[tex]N = N_0 * (\frac{1}{2})^{t/p[/tex]

[tex]N_0[/tex] is the starting amount of parent element.

[tex]N[/tex] is the end amount of parent element

[tex]t[/tex] is the time elapsed

[tex]p[/tex] is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

[tex]N(t) = 74g * (\frac{1}{2})^{t/2.8days[/tex]

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

[tex]N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g[/tex]

c.

Now we just gotta do some algebra. Use the original function but this time, replace [tex]N(t)[/tex] with 10g and solve algebraically.

[tex]10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}[/tex]

Take the log of both sides.

[tex]log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})[/tex]

Use the exponent rule for log laws that, [tex]log(b^x) = x*log(b)[/tex]

[tex]log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})[/tex]

[tex]\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}[/tex]

[tex]2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t[/tex]

slap that in your calculator and you get

[tex]t = 8.1 days[/tex]