What is the volume of the rectangular prism?
50 POINTS

Answer:

7,000,000

Step-by-step explanation:

Limit of a function:

The limit of a function is finding looking at it's lateral limits.

If the lateral limits are equal:

The limit exists.

[tex]\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^{+}} f(x) = \lim_{x \rightarrow a^{-}} f(x)[/tex]

If lateral limits are different:

That is:

[tex]\lim_{x \rightarrow a^{+}} f(x) \neq \lim_{x \rightarrow a^{-}} f(x)[/tex], then the limit does not exist.

In this question:

To the left of 1, that is, 0.9999....

[tex]\lim_{x \rightarrow 1^{-}} g(x) = 7,000,000[/tex]

To the right of 1, that is, 1.0001...

[tex]\lim_{x \rightarrow 1^{+}} g(x) = 7,000,000[/tex]

Since the both limits are the same, the limits exists and it's value is of  7,000,000.

Answer:

D

Step-by-step explanation:

It shows it in the quwestions image

Answer:

(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.

Step-by-step explanation:

Here, H(t) is the height after the t minutes of time.

Given :

H'(7.5) = 15.708 meters / minute

H'(t) = [tex]$\frac{d(H(t))}{dt}$[/tex]

     = rate of change of the height

So, here, H'(t) = rate of change of height

Therefore, H'(7.5) = 15.708 meters / minute

It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.

Option D. The simulation design that Ajay can use to estimate the probability would be Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat​.

The number cube has being said to be made up of six digits. The digits are said to be assigned in pairs of three.

Hence we are going to have a case of 1/3. This is what can then be used to model the probability.

Read more on simulations here:

https://brainly.com/question/15892457

#SPJ1

Answer:

0.5

Step-by-step explanation:

To find the rate of change, we can use the slope formula of [tex](y^2-y^1) / (x^2-x^1)[/tex].

Plugging in the first two points gets us:

[tex](1 - .5) / (1-0)[/tex]

[tex]0.5 / 1[/tex]

[tex]0.5[/tex]

That is your rate of change.

Answer:

0.088

Step-by-step explanation:

Given two cylinders

Volume of one = 64cm^3

Volume of the other = 729cm^2

Scale factor = Volume of the small/Volume of the large

Scale factor = 64:729

Scale factor = 0.087

Answer:

[tex]Worth = \$284258.1[/tex]

Step-by-step explanation:

Given

[tex]Dimension: 7in\ * 3in\ * 1in[/tex]

[tex]Value = \$1214/oz[/tex] ---- value of Gold

Required

The worth of 1 gold bar

First, calculate the volume (n) of the gold bar

[tex]n = 7in * 3in * 1in[/tex]

[tex]n = 21in^3[/tex]

Next, calculate the weight of the gold bar using:

[tex]w = 11.15n[/tex]

[tex]w = 11.15 * 21[/tex]

[tex]w = 234.15oz[/tex]

Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.

[tex]Worth =Value * w[/tex]

This gives:

[tex]Worth = \$1214/oz * 234.15oz[/tex]

[tex]Worth = \$1214 * 234.15[/tex]

[tex]Worth = \$284258.1[/tex]

Answer:

80

Step-by-step explanation:

18^2 + 80^2 = 82

324 + 160 = c^2

Answer:

80 cm

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem which is a^2 + b^2 = c^2. We are given that a = 18, and c as the hypotenuse equals to 82. We can plug these numbers into the theorem:

18^2 + b^2 = 82^2

324 + b^2 = 6724

b^2 = 6400

b = 80 cm

[tex]24.[/tex]

Step-by-step explanation:

[tex]12 + 2 = 14.[/tex]

[tex]14 + 2 = 16.[/tex]

[tex]16 + 2 = 18.[/tex]

[tex]18 + 2 = 20.[/tex]

[tex]20 + {2}^{2} = 24.[/tex]

Note:- 2² = 2×2 = 4. So, 2² = 4.

Answer:

24

make sure you calculate the answer next time!

Answer:

The radius of the cylinder is 13.0 inches.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex] V = \pi r^{2}h [/tex]

Where:

V: is the volume = 4775.94 in³

r: is the radius =?

h: is the height = 9 in

Hence, by solving the above equation for "r" we have:

[tex] r = \sqrt{\frac{V}{\pi h}} = \sqrt{\frac{4775.94 in^{3}}{\pi 9 in}} = 13.0 in [/tex]                    

Therefore, the radius of the cylinder is 13.0 inches.

I hope it helps you!

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

8²+15²=17²

64+225=289

289=289 YES, it is a right triangle

Answer:

125.........................

Answer:

125

Step-by-step explanation:

Rewrite:

25^1.5=125

Answer:

x = 14 for the first one, x = 60 for the second one

Step-by-step explanation:

Step-by-step explanation:

We know the measure of a straight line is 180° . So that ,

> 5x - 10 + 120 = 180

> 5x = 60 + 10

> 5x = 70

> x = 70/5

> x = 14

Solution 2 :-

> x + 50 + 70 = 180

> x = 180 - 120

> x = 60

Answer:

Step-by-step explanation:

Answer:

Y values will stay the same

Step-by-step explanation:

Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged

Answer:

8x+260=-5x+650

8x+5x=650-260

13x=390

x=390/13

x=30

Step-by-step explanation:

Step-by-step explanation:

8x+5x=650-260

13x=390

X=30

Answer:

The area of the given figure is 87.55 cm square.

Answer:

a) Acceleration = 2.4 m per seconds²

b) Distance traveled = 132 m

Step-by-step explanation:

a). Acceleration of an object is defined by the equation,

v = u + at

Here, v = Final speed

u = Initial speed

a = Acceleration

t = Duration Or time

From the graph attached,

Between t = 0 and t = 5 seconds,

v = 12 meter per second

u = 0

t = 5 seconds

B substituting values in the equation,

12 = 0 + a(5)

a = [tex]\frac{12}{5}[/tex]

a = 2.4 m per seconds²

b). Equation representing distance traveled by an object,

v² = u² + 2as

Here, v = Final speed

u = Initial speed

a = Acceleration

s = Distance traveled

By substituting these values in the given equation,

1). Between t = 0 to t = 5 seconds,

(12)² = 0 + 2(2.4)s

s = [tex]\frac{144}{4.8}[/tex]

s = 30 m

2). Between t = 5 to t = 12 sec

Car moved with a constant speed (Acceleration = 0)

Distance traveled = Speed × Time

                             = 12 × 7

                             = 84 m

3). Acceleration of the car between t = 12 sec to t = 15 sec

By substituting the values in the equation,

v = u - at

0 = 12 - a(3)

a = 4 meter per seconds²

Distance traveled in this duration,

v² = u² - 2as

0 = (12)² - 2(4)s

144 = 8s

s = [tex]\frac{144}{8}[/tex]

s = 18 m

Therefore, total distance covered by the car = 30 + 84 + 18

= 132 meters

Answer:

I'm g(=)0 hope you get the point now.

Answer:

B

Step-by-step explanation:

I got it right

Answer:

20 questions

Step-by-step explanation:

There is 15% of the test left and 3 questions

15/3 = 5

85/5 = 17

17+ 3 = 20

Answer:

b. 30 > 2d

   15 > d

c. 15/f < 5

   15 < 5f

   5 < f

d. 42 [tex]\leq[/tex] 50 - m

   42 + m [tex]\leq[/tex] 50

   m [tex]\leq[/tex] 8

Answer:

10

Step-by-step explanation:

Answer:

The answer is 181

Step-by-step explanation:

PEDMAS

1 x 1 + 9 x 20

1 x 1 = 1

1 + 9 x 20

9 x 20= 180

1+180

which equals 181

Answer:

181

Step-by-step explanation:1x1=1 9x20=180+1=181

Thats your answer my fellow brains

Answer:

Let the number of beads = x

Sum of the ratio = 11

a) fraction of yellow beads :

                              [tex]\frac{11}{15} \ of \ x \\[/tex]

b) given there are 75 beads , x =75

# of yellow beads =

                      [tex]\frac{11}{15}*75 = 55\\[/tex]

#of green beads =

                     [tex]\frac{4}{15} *75 = 20[/tex]

Number of green beads = 20

c) After adding more beads.

Given yellow beads = 3 times as many green = 3×20 = 60

Gabby added  more yellow beads.

Answer:

[tex](-5,-4)[/tex]

Step-by-step explanation:

Given

[tex]P = (5,4)[/tex]

Rotation: 180 degrees counterclockwise

Required

P'

Rotation: 180 degrees counterclockwise

The rule is:

[tex](x,y) \to (-x,-y)[/tex]

So: [tex]P = (5,4)[/tex] becomes

[tex](5,4) \to (-5,-4)[/tex]

Answer: 14

Step-by-step explanation:

1/16x = 7/8

x = 7/8*16/1 = 14

He can sell his candy

Give away to people.

Answer:

a. 3/4

Step-by-step explanation:

6:8

=6/8

=3/4

Hope it Helps

Answer:

12

Step-by-step explanation:

h(3)=3x2 + 2x3 = 6+6 = 12

Answer:

[tex]h(p) = {p}^{2} + 2p \\ h(p) = p(p + 2) \\ h(3) = 3(3 + 2) \\ = 3 \times 5 \\ = 15[/tex]

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