a cylindrical tank has a volume of 100 gallons. a similar tank next to it has dimensions that are 2 times as large. what is the volume of the larger tank?

Answer:

x^3(-x+3)(x+3)

Step-by-step explanation:

-x^5 + 9x^3

factor out x^3

x^3(-x^2+9)

9 and -x^2 are perfect squares so we can factor out a 3 and an x to get (-x+3)(x+3)

the fully factored form would be x^3(-x+3)(x+3)

Answer:

-x^3(x - 3)(x + 3).

Step-by-step explanation:

-x^5+9x^3

the greatest common factor = x^3 so we can write it as

x^3(-x^2 + 9)

= -x^3(x^2 - 9)

The expression in the parentheses is the difference of 2 squares so we have:

-x^3(x - 3)(x + 3)   Answer.

Answer:

The answer is D.

Step-by-step explanation:

a) Plugging x = 18 gets numerator 0^2/18 = 0 that not continuous.

b) Plugging x = 18 the denomiator becomes a value/0 making it undefined.

c) Plugging x = 18 gets tan(2pi) = 0/1 which is 0

d) f(x) = 36 is should be a straight lines at y =36. I think. Best option is D.

Answer:

x>=324

Step-by-step explanation:

sqrt(x) > = 18      square both sides of the equation

x >= 324

Answer:

( -3 , ∞)

Step-by-step explanation:

Answer:

508.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

-x + 2y = 16

y = mx + 8

Start with the top equation. Add x to both sides.

-x + 2y + x = x + 16                     Combine the left

2y = x + 16                                  Divide by 2

2y/2 = (1/2)x + 1/2(16)

y = 1/2 x + 8

If m = 1/2, both equations together will give an infinite number of solutions.

The vertices of the polygon form a trapezoid, and the area of the polygon is 28 unit squares

The vertices are given as:

C = (3,3)

A = (8,-2)

S = (3,-4)

H = (0, -2)

The area of the polygon is calculated using:

[tex]A = \frac 12 \sum\limits^{n-1}_{k = 0}(x_ky_{k+1} - y_kx_{k+1})[/tex]

So, we have:

A = 1/2 * |(3 * -2 - 8 * 3 + 8 * -4 - 3 * -2 + 3 * -2  - 0 * -4 + 0 * 3 -3 * -2)|

Evaluate

A = 1/2 * |-56|

Remove the absolute bracket

A = 1/2 * 56

Evaluate the product

A= 28

Hence, the area of the polygon is 28 unit square

Read more about area at:

https://brainly.com/question/14137384

#SPJ1

A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.

The area of a circle is pi times the radius squared. The unit of area of circle is square units.

[tex]\longrightarrow Area_{(circle)} = \pi r^2[/tex]

Here, r is the radius of the circle.

We are asked to find the area of the circle in terms of pi if the diameter is 7 inches.

We know that, the diameter is twice the length of the radius of a circle. Therefore;

Now the area of circle will be:

[tex]\implies Area_{(circle)} = \pi r^2[/tex]

[tex]\implies Area_{(circle)} = \pi (3.5)^2[/tex]

[tex]\implies Area_{(circle)} = 12.25 \pi[/tex]

Hence, the area of the given circle is 12.25π square inches.

Answer:

Step-by-step explanation:

In the question we are given that diameter of circle is of 7 inches . And we have asked to find the area of the circle in term of pi ( π ) .

For finding area of circle we must have to know that what is the formula for finding area of circle. So :

[tex] \qquad \qquad \: \red{\underline{\red{ \boxed{ \frak{Area \: of \: Circle = \pi r {}^{2} }}}}}[/tex]

Where ,

Solution : -

As in the question we are given length of diameter . So for finding area we need to find the radius of circle .

We know that diameter of circle is two times its radius or ,

[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]

So for radius we are dividing both side with 2 :

[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]

We get that ,

[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]

Therefore , we can say that radius of circle is half of its diameter .

Now using this firstly we are finding radius of circle . So :

[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{7}{2} \: \: inches}}[/tex]

Now , we are moving towards our final solution .

So ,

[tex] \longrightarrow \quad \: Area_ { (Circle)} = \pi( \dfrac{7}{2} ) {}^{2} [/tex]

Calculating further :

[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{7}{2} \times \dfrac{7}{2} [/tex]

After multiplication of 7/2 with 7/2 we get :

[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{49}{4} [/tex]

On dividing 49 by 4 we get :

[tex]\longrightarrow \quad \: \blue{{\boxed{\frak{Area_ { (Circle)} = 12.25\pi \: inches {}^{2} }}}}[/tex]

Remember one thing , we haven't put value of π as 22/7 or 3.14 because in the question it is given that we have to find the area of circle in terms of pi .

Answer:

a = 8

Step-by-step explanation:

45° - 45° - 90° triangle

1 - 1 - √2

8 - 8 - √8

Answer:

(a)  y = 34.27 + 7.79x

(b)  r = 0.98 (nearest hundredth)

(c)  strong, positive correlation - as the students spends more time studying, their test scores increase.

Step-by-step explanation:

Correlation measures how closely two variables are linked.

If two variables are correlated, you can draw a line of best fit on the scatter plot.

Linear regression is a method for finding the equation of a line of best fit on a scatter plot.

The regression line of y on x is:  y = a + bx

where a = y-intercept  and  b = gradient

If b is positive, the variables are positively correlated.

If b is negative, the variables are negatively correlated.

Inputting the data from the table into a calculator and using the statistical function:

a = 34.27272727

b = 7.792207792

Therefore, the linear equation is:

y = 34.27 + 7.79x

The correlation coefficient is the Product Moment Correlation Coefficient (r) and measures the strength of the linear correlation between two variables.

Again, inputting the data from the table into a calculator and using the statistical function:

r = 0.9815741571

⇒ r = 0.98 (nearest hundredth)

The r value is always between +1 and -1.  The closer it is to +1 or -1, the stronger the correlation between the two variables.

Therefore, as r is very close to +1, the correlation coefficient suggests a strong, positive correlation.  In the context of the problem, this suggests that as the students spends more time studying, their test scores increase.

Answer:

1/6.

Step-by-step explanation:

Prob(Tail) = 1/2

Prob(gets number > 4 ,  that is a 5 or a 6) = 2/6 = 1/3.

So required probability = 1/2 * 1/3

= 1/6.

The individual probabilities are multiplied as the 2 events are independent.

The probability that Mario gets tails and rolls a number greater than 4 is,

⇒ 1 / 6

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Mario flips a coin, then rolls a standard six-sided number cube.

Now, We get;

The probability to get tails is,

⇒ 1 / 2

And, The probability to get a number greater than 4 (5 and 6) is,

⇒ 2 / 6

⇒ 1 / 3

Thus, The probability that Mario gets tails and rolls a number greater than 4 is,

⇒ 1/2 × 1/3

⇒ 1 / 6

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ2

Answer:

its 72 in cubed because you do the base area/2 x the height divided by 3 so the base area is 48 and divide by 2 is 24 and then multiply by the height of the pyramid which is 9 and that will give you 216 and divide by 3 which is 72

Step-by-step explanation:

please mark as brainliest

Answer:

40

Step-by-step explanation:

23 + 17

= 40

Answer:

Let me get my notes real quick. Give me a few seconds. Ok, in order to dermine propability you first do:
1: Determine the event (Like picking out 2 red marbles from a bag.) with 1 outcome (In this case, getting the marbles.)

2: Find the total amount of outcomes, like 1 7 2 9 1 2 2 2, (Example: What is the propability of geeting a 2? 4/8/50%)

3: Divide the number of events (How many times you've done it.) by the number of possible outcomes.

That's all there is.

Answer:

120

Step-by-step explanation:u need to add it all and divide 4

Answer:

Complementary angles

Step-by-step explanation:

Complementary angles because the two angles is shared on a same line as each others.

Answer:

37 decreased by 20% is 29.6.

Step-by-step explanation:

To do this, what we do is simply take 20% of 37 and subtract it from 37.

20% of 37. A trick to easily figure this out is multipling 37 by 20 and dividing by 100.

37*20 = 740

740 / 100 = 7.40

37 - 7.40 = 29.6

37 decreased by 20% is 29.6.

Apply Pythagorean theorem

Option D

Answer:

[tex]\sf D) \sqrt{77} \: ft [/tex]

Step-by-step explanation:

Given that,

→ Perpendicular (x) = ?

→ Hypotenuse (h) = 9 feet

→ Base (b) = 2 feet

Now by using the Phythagoras theorem,

→ (Hypotenuse)² = (Perpendicular)² + (Base)²

→ (h)² = (x)² + (b)²

→ (9)² = (x)² + (2)²

→ 81 = (x)² + 4

→ (x)² = 81 - 4

→ (x)² = 77

→ [ x = √(77) ]

Thus, length of remaining side is √(77) ft.

Answer:

Your answer is d) 3, 7, 8.

Step-by-step explanation:

s and t are parallel and r is transversal.

4 and 3 are congruent as the vertical angle.

4 is 7 is alternative exterior angles.

4 and 8 are corresponding angles.

Answer:

t = -b 2a = -120/(-32) = 3.75 The height of the rocket is a maximum 3.75 seconds after its launch. To find the height we only need to plug into the model: s(3.75) = -16(3.752) + 120(3.75) + 80 = 305 The maximum height of the rocket is 305 feet.

Step-by-step explanation:

The maximum value of graph of function is (3.75,225).

We consider, the equation is y=a(x-0)(x-7.5)

Now, when x=6 and y = 144

144=6a(-1.5)

⇒a= - 144/9

⇒a= -16

Now,  y= -16(x-0)(x-7.5)

⇒ y= -16[tex]x^{2}[/tex]+120x

∴ x = -b/2a = -120/(-32) = 3.75

When x=3.75, then the value of y is maximum.

∴ [tex]y_{max}[/tex] = [tex]-16(3.75)^{2}+120*3.75[/tex]

          = 225

Hence, the maximum value of y is 225.

So, the required co-ordinate is (3.75,225).

Learn more about quadratic function here :

https://brainly.com/question/27492507

#SPJ2

Answer:

a= 1/4 , h=8 , k = -12

Step-by-step explanation:

There is really not much to say.

[tex]y=\frac{1}{x}[/tex] , [tex]y=\frac{1}{4x-32}-12[/tex]

Factor the denominator by 1/4.

[tex]y=\frac{1}{4(x-8)}-12[/tex]

You got your formula: [tex]y=\frac{a}{x-h}+k[/tex]⇒[tex]y=a\frac{1}{x-h}+k[/tex]
a= 1/4 means to shrink due to it being fraction.

h=8 means 8 right

k = -12 means 12 down.

Answer:

13 dollars a pizza because if you put 4x13 that is 52 then add the wings 8$ that is your answer 60....

Step-by-step explanation:

Hopefully It helped ya... (:

Answer:

p = 12

Step-by-step explanation:

Given:

Jalen bought 4 pizzas. He also spent $8 on wings. He paid a total of $60. He can use the equation 4p + 8 = 56 to determine the price of each pizza.

To Find:

How much was each pizza?

Solution:
Since it already given a equation thus we can just solve using the equation given:

4p + 8 = 56

Subtract 8 from both sides

4p + 8 = 56

      - 8     -8

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

4p = 48

Divide both sides by 4

4p/4 = 48/4

p = 12

Hence, each pizza cost $12.

Kavinsky

Answer:

A. 5.4

Step-by-step explanation:

I think... I haven't done this sort of question in a while

Answer:

number of action figures = 3 + 6(n-1)

at n = 9: number of action figures = 51

Step-by-step explanation:

first row: 3

second row: 6 more than the row before it (3) = 6 + 3 = 9

third row: 6 + 9 = 15

arithmetic series: [tex]a_n = a_1 + (n-1)d[/tex], where

[tex]a_n[/tex] is the nth term in the output

[tex]a_1[/tex] is the first output

n is the input

d is the difference between terms

here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.

the first output, in the first row, is 3

the difference between the number of action figures in each row is 6

thus, our formula is

[tex]a_n = 3 + (n-1)6 = 3 + 6(n-1)[/tex]

when the row is 9, the number of action figures is equal to

3 + 6(9-1) = 3 + 6 * 8 = 51

Answer:

Rectangle

Step-by-step explanation:

The answer you put was a rhombus , which is wrong . if you put the coordinates in you would see that its a rectangle slightly tilted instead of  rhombus , a rectangle has more of a wider side than a rhombus does . please change your answer!

If a miniature model of the pyramid is 3 inches wide. The volume of the model is 4.5.

Pyramids square bases  are twice as wide as they are tall

Model of pyramid=3 inches wide

First step is to find the model height

Let Model height=x

2 × height=weight

2x=3

x=3/2

x=1.5

Second step is to calculate the volume of model:

Volume of model=3×3×1.5×1/3

Volume of model=4.5

Therefore the volume of the model is 4.5.

Learn more about volume of the model here:https://brainly.com/question/218706

Answer:

0.2

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

In a box plot, the point farthest to the line is the greatest or maximum number of the problem(in this case E). You look for the greatest number out of them all and that would be your answer(90).

Can i pretty please with a cherry on top get brainliest??

:>