What is the volume of the rectangular prism

Answer:

a₃₀ = - 18

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 10 - 11 = - 1, then

[tex]a_{n}[/tex] = 11 - (n - 1) = 11 - n + 1 = 12 - n , thus

a₃₀ = 12 - 30 = - 18

Answer: A. The modes differ by 40 and the ranges differ by 40.

Step-by-step explanation:

The required, modes differ by 40 and the ranges differ by 40. Option A is correct.

To compare the modes and ranges of the given data, let's first find the modes and ranges.

Last Summer:

140, 220, 190, 180, 190

This Summer:

150, 170, 150, 190, 180

The mode is the value that appears most frequently in a dataset, while the range is the difference between the maximum and minimum values in a dataset.

The modes are as follows:
Last summer: The mode is 190 since it appears twice, more frequently than any other value.
This summer: The mode is 150 since it appears twice, more frequently than any other value.

The ranges are as follows:
Last summer: The range is 220 - 140 = 80.
This summer: The range is 190 - 150 = 40.

Now, let's compare the modes to the ranges:

Statement: The modes differ by 40 and the ranges differ by 40. Since the modes differ by 40 and the ranges differ by 40, the statement is true.

Therefore, the correct statement is:

A. The modes differ by 40 and the ranges differ by 40.

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The given question is incomplete the complete question is given below:

Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.

Number of Pages Elias Read during the Summer

Last summer: 140 220 190 180 190

This summer: 150 170 150 190 180

Which statement comparing the modes to the ranges is true?

A. The modes differ by 40 and the ranges differ by 40.

B. The modes differ by 20 and the ranges differ by 20.

C. The modes differ by 40, but the ranges differ by 20.

D. The modes differ by 20, but the ranges differ by 40.

Answer:

subtract 7 at a time like below

Step-by-step explanation:

 56-7= 49

49-7= 42

42-7=35

35-7= 28

28-7=21

21-7=14

14-7=7

7-7

Answer:

a) For Cole = 60%

b) For Jamie = 72 %

Step-by-step explanation:

Cole and Jamie are raising money for the annual Walk for Hunger in their city. They each have a goal to raise $250. So far, Cole has raised $150 and Jamie has raised $180.

What percent of their goal did each boy raise so far?

a) Percent of Cole's goal

= Amount raised by Cole/ Total amount × 100

= $150/$250 × 100

= 60%

b) Percent of Jamie's goal

Amount raised by Jamie / Total amount × 100

= $180/$250 × 100

= 72%

Answer:

33/ 338

Step-by-step explanation:

Red = 6

Blue = 9

P.Red = 6/26 = 3/13

P.Green = 11/26

P. Both in turns = 3/13 * 11/26

= 33/338

hope this helps...

Answer:

0.09

Step-by-step explanation:

Answer:

y= -1/2x +5.5

Step-by-step explanation:

hope this helps :)

Alexander's new glasses cost would be the amount of $108.55 which is the correct answer would be an option (B).

The percentage is defined as a ratio expressed as a fraction of 100.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given that Alexander's new glasses normally cost $167 at a retailer, but he only paid 65% of the retail cost.

To determine the amount his new glasses cost

We have to calculate 65% of $167 which is the retail cost.

As per the given information, the solution would be:

⇒ 65% of $167

⇒ (65/100)(167)

⇒ (0.65)(167)

⇒ 108.55

Therefore, his new glasses cost would be the amount of $108.55.

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Answer:

[tex]V=376.9911184feet per minute[/tex]

Step-by-step explanation:

From the question we are told that

60-foot diameter

3 revolutions per minute

a)Generally angular speed can mathematically be given is given as

[tex]W=2\pi f[/tex]

[tex]W=2*\pi*3[/tex]

[tex]W=6*\pi[/tex]

[tex]W=18.84955592[/tex]

b)Generally linear speed is mathematically given as

[tex]V=\omega r[/tex]

[tex]V=6\pi *30[/tex]

[tex]V=120*\pi[/tex]

[tex]V=376.9911184feet per minute[/tex]

Answer:

Well.... your problem isnt even there lol

Answer:

the answer is 764844

Step-by-step explanation:

1+1=1

Answer:

C = -5

Step-by-step explanation:

Functions

F(x) is defined as:

[tex]\displaystyleF(x)=\frac{C-x}{D-x}[/tex]

We know F(-2) is undefined. It comes from the fact that the denominator is 0 for this value of x, thus:

D - (-2) = 0

Solving:

D = -2

Substituting:

[tex]\displaystyleF(x)=\frac{C-x}{-2-x}[/tex]

We also know F(-1) = 4:

[tex]\displaystyle \frac{C-(-1)}{-2-(-1)}=4[/tex]

[tex]\displaystyle \frac{C+1}{-2+1}=4[/tex]

[tex]\displaystyle \frac{C+1}{-1}=4[/tex]

Multiplying by -1

C + 1 = -4

Solving for C:

C = -5

Answer:

answer is b, 4

Step-by-step explanation:

The random number lines shows 4, 0-1 numbers  that corresponds to the response "yes". Therefore, option b 4 is correct.

Similar to motion sickness, cybersickness is a mix of sensations that develops when there is no actual physical movement. The three types of symptoms are nausea, oculomotor problems, and general disorientation.

Eye strain, weariness, and headaches are examples of oculomotor symptoms that result from overworking the nerve that regulates eye movement.

The symptoms of disorientation can include vertigo and dizziness. Additionally, numerous cybersickness symptoms, including trouble focusing and fuzzy vision, cross over into different categories.

As per the given results, there are two 1s and two 0s in the number lines of the trial. Hence, total response of "yes" is 4.

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Answer:

15 times

Step-by-step explanation:

By spinning once, the probability of landing on 2 is 1/8

The probability of landing on 5 is 1/8

The probability of landing on 2 or 5 is 1/8 + 1/8 = 2/8 = 1/4

So spinning 60 times, the number of times we expect a landing on 2 or 5 will be ;

1/4 * 60 = 15 times

Answer:

from parallel concept

m1=m2

-7/5=-7/5

therefore,

line c and line d are parallel

Answer:

348 in^2

Step-by-step explanation:

8 x 9 = 72

6 x 8 = 48

9 x 6 = 54

72 + 72 + 48 + 48 + 54 + 54

348

Answer:

The length of side along the river is 68 m

Step-by-step explanation:

Area of trapezium = 10200 m²

Length of side along the road (a) = x

Length of side along the river (b) = 2x

Height = 200 m

We need to find Length of side along the river.

The formula used is: [tex]Area\: of\: trapezium=\frac{a+b}{2}\times h[/tex]

Putting values and finding length:

[tex]Area\: of\: trapezium=\frac{a+b}{2}\times h\\10200=\frac{2x+x}{2}\times 200\\10200=2x+2\times 100\\\frac{10200}{100} =2x+2\\102=3x\\x=\frac{102}{3}\\x=34[/tex]

So, Value of x = 34

Length of side along the road (a) = x = 34

Length of side along the river (b) = 2x = 2(34) = 68

So, the length of side along the river is 68 m

Answer:

(d)

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 + 4 = 9 parts

Divide 180° by 9 to find the value of one part of the ratio

180° ÷ 9 = 20° ← value of 1 part of ratio , then

4 parts = 4 × 20° = 80° ← largest angle

Answer:

y = 4x - 4

Step-by-step explanation:

to write a linear equation you need to know 2 components:  slope and y-intercept

find slope by selecting 2 points, for example, (1,0) and (2,4)

slope ('m') = difference of y-values              4 - 0  =  4

                    difference of x-values             2 - 1        1

to find y-intercept ('b'), plug values into the slope-intercept form of a line, which is:

y = mx + b

you need a point and the slope of 4/1; can use any point

we'll use (2,4) where x =2 and y=4  and, again, m = 4

4 = 2(4) + b

4 = 8 + b

-4 = b

Answer:

part A 112/350 = x/100  

part  b : 32%

Step-by-step explanation:

Answer:

part b

Step-by-step explanation:The part b would be 32%

Answer:

Okayy

Step-by-step explanation:

Since T is the centroid which is the center

Also T is a midpoint

Nt=tn=42

Hope this helps

Answer:

0, because this is a horizontal line

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

22-22 is 0

-5-14 is -19

0/-19 is 0

slope is 0

Answer:

it is 69

Step-by-step explanation:

Answer:

−18x^8−27x^7−21x^6−24x^5−15x^4−3x^3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here r = 9, then

A = π × 9² = 81π cm² → D

9514 1404 393

Answer:

  a) profit has a typical curve: negative at low volume, and again at very high volume.

  b) $239,407

Step-by-step explanation:

a) The graph is negative below x=1.58, so the break-even point is 158 toys sold. The profit declines steeply above 533 toys sold, to again go negative for 774 toys sold. This sort of curve seems fairly typical.

__

b) The profit is a maximum of $239,407 when 533 toys are sold.

Answer: it is (A).

Step-by-step explanation: hope this helps.

Answer:  Choice A.  y + 5 = -2(x + 2)

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

Explanation:

Let's solve the given equation for y so we can find the slope.

3x - 6y = 2

3x = 2+6y

3x-2 = 6y

6y = 3x-2

y = (3x-2)/6

y = (3x/6) - (2/6)

y = (1/2)x - 1/3

The last equation is in y = mx+b form. We see that m = 1/2 is the slope.

Apply the negative reciprocal to go from 1/2 to -2/1 or just -2.

The original slope is 1/2, and the perpendicular slope is -2.

Rule: multiplying any two perpendicular slopes leads to -1 where neither line can be vertical.

Let's plug in m = -2, x1 = -2 and y1 = -5 into point slope form

y - y1 = m(x - x1)

y - (-5) = -2(x - (-2))

y + 5 = -2(x + 2)

The answer is -15

x = -15 because 10+5=15 and 15 + -15 = 0

Step-by-step explanation:

(5b - 2c)*(2a - 3c) = 5b*2a - 3c*5b - 2a*2c + 6c^2

Answer:

c = 0.85 ; $1.7 ; c = 0.79p

Step-by-step explanation:

Given :

Cost per pound of supply shipped = $0.85

Total cost, c to ship p pounds of horse supply

Total cost = cost per pound * pound of supply

c = 0.85 * p

c = 0.85p

Cost of shipping 2 pounds :

c = 0.85 * 2

c = $1. 7

B.)

Reduction in shipping cost :

Reduced cost = $0.85 - $0.06 = $0.79

Total cost = cost per pound * pound of supply

c = 0.79 * p

c = 0.79p