what is the length of ef

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Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]

which matches with choice C. The three dots indicates the pattern goes on forever.

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Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]

The equation of the problem is [tex]5(n+7)[/tex]

The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.

Answer:

C=-3t+30

Step-by-step explanation:

Answer:12x+10y-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

25/2 or 12 1/2 or 12.5

Step-by-step explanation:

Answer:33,325,000

Step-by-step explanation:95,976,000÷2.88=33,325,000

Answer:

5.c  hope this help - shelby

Step-by-step explanation:

Answer:

I’m confused

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14.  Most of the information presented is unrelated.

Answer:

She will drive 272 miles in 4 hours.

Step-by-step explanation:

Answer: 2

Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.

Given:

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

There are 48 blue raspberry and cherry flavored ice sticks altogether.

To find:

The total number of ice sticks.

Solution:

Let x be the total number of ice sticks.

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Blue raspberry [tex]=\dfrac{2}{5}x[/tex]

Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]

                                   [tex]=\dfrac{3}{5}x[/tex]

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]

          [tex]=\dfrac{1}{5}x[/tex]

Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]

           [tex]=\dfrac{2}{5}x[/tex]

There are 48 blue raspberry and cherry flavored ice sticks altogether.

[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]

[tex]\dfrac{4}{5}x=48[/tex]

[tex]x=48\times \dfrac{5}{4}[/tex]

[tex]x=60[/tex]

Therefore, the total number of ice sticks is 60.

Answer:

-4 Degrees Fahrenheit

Step-by-step explanation:

Given

[tex]Initial\ Temperature = 8[/tex] ---- at 10am

[tex]Difference = -3[/tex]

Required

Determine the final temperature at 2pm

First, we need to determine the hour from 10am to 2pm (Both inclusive)

[tex]Interval = 2pm - 10am + 1hr[/tex]

[tex]Interval = 4hr + 1hr[/tex]

[tex]Interval = 5hr[/tex]

To solve further, we make use of the following Arithmetic Progression formula:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 8[/tex] --- Initial

[tex]d = -3[/tex] --- difference

[tex]n = 5[/tex] -- 5th term

[tex]T_n[/tex] --- Final temperature at 2pm

So: we have:

[tex]T_n = 8 + (5 - 1) * -3[/tex]

[tex]T_n = 8 + (4) * -3[/tex]

[tex]T_n = 8 + 4 * -3[/tex]

[tex]T_n = 8 -12[/tex]

[tex]T_n = -4[/tex]

Hence:

The temperature is -4 Degrees Fahrenheit

Answer:

with what? i can help you more than likely if you tell me what you need help with.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

P = 2*L + 2*W

P = 70

w = 16

Solution

70 = 2L + 2*16

70 = 2L + 32

70-32 = 2L

38 = 2L

38/2 = 2L/2

L = 19

Answer:

5

Step-by-step explanation:

Answer:

1 time

Step-by-step explanation:

Answer:

10 is the answer. 1:50 is 10:500 simplified

Step-by-step explanation:

500÷50=10.

Answer:

[tex]n = 3[/tex]

[tex]XY = 39[/tex]

[tex]XZ = 39[/tex]

Step-by-step explanation:

Given

[tex]XY = 9n + 12[/tex]

[tex]XZ = 15n - 6[/tex]

[tex]<XYZ = <YZX[/tex]

Solving (a): n

To solve for n;

We make use of

[tex]XY = XZ[/tex]

Substitute values for XY and XZ

[tex]9n + 12 = 15n - 6[/tex]

[tex]9n - 15n = -12 - 6[/tex]

[tex]-6n = -18[/tex]

Divide through by -6

[tex]n = 3[/tex]

Solving (b) XY

[tex]XY = 9n + 12[/tex]

Substitute 3 for n

[tex]XY = 9 * 3 + 12[/tex]

[tex]XY = 27 + 12[/tex]

[tex]XY = 39[/tex]

Solving (c): XZ

[tex]XZ = XY[/tex]

[tex]XZ = 39[/tex]

The value of n is 3, the measure of leg XY is 39 ft, and the measure of XZ is 39 ft and this can be determined by using the properties of an isosceles triangle.

Given :

Given that the angle XYZ and angle YZX are congruent to each other and triangle XYZ is an isosceles triangle.

From the above statement, it can be concluded that the side length of XY and the side length of XZ is also congruent to each other, that is:

XY = XZ

9n + 12 = 15n - 6

Simplify the above expression in order to determine the value of 'n'.

18 = 6n

n = 3 ft

The measure of leg XY is given by:

XY = 9(3) + 12 = 39 ft

The measure of leg XZ is given by:

XZ = 15(3) - 6 = 39 ft

For more information, refer to the link given below:

https://brainly.com/question/19237987

Answer:

every 8 mins

Step-by-step explanation:

bus b

Answer:

24 socks

Step-by-step explanation:

The given parameters are;

The number of different colors of socks = 3

Therefore, we have the worst case, the first three socks are different colors, since there are three different colors, the fourth socks is first pair in the worst case scenario

After which, every other two socks makes a pair in the worst case process, the number of socks he must take to make sure he has eleven pairs are given by the pairing table

Number of socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Number of pairs 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11

Therefore, he must take 24 socks to make sue he has 11 pairs of the same color.

Answer:

Alex needs to walk for 45 minutes.

Step-by-step explanation:

2.25 / 3 = 0.75 hours

0.75 hours = 45 minutes

Answer:

(4, -3)

Step-by-step explanation:

It says my answers need to be at least 20 characters long so I had to write this.

Answer:

j+z+12

Step-by-step explanation:

Answers:

x = 2.40

y = 1.60

This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60

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Work Shown:

x = cost of 1 cup of hot cocoa

y = cost of 1 pretzel

5x = cost of 5 cocoas

4y = cost of 4 pretzels

5x+4y = cost of 5 cocoas+4 pretzels

5x+4y = 18.40

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2x = cost of 2 cocoas

4y = cost of 4 pretzels

2x+4y = cost of 2 cocoas+4 pretzels

2x+4y = 11.20

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The system of equations we have is

[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]

Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.

How? By subtracting the equations straight down

The x terms subtract to 5x-2x = 3x

The y terms subtract to 4y-4y = 0y = 0 and they go away

The right hand sides subtract to 18.40 - 11.20 = 7.20

After those three separate subtractions, we have this new equation:

3x = 7.20

Divide both sides by 3 to isolate x

3x/3 = 7.20/3

x = 2.40

Each hot cocoa costs $2.40

Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation

5x+4y = 18.40

5(2.40)+4y = 18.40

12+4y = 18.40

4y = 18.40-12

4y = 6.40

y = 6.40/4

y = 1.60

Each pretzel costs $1.60

If we picked on the second equation, we should get the same y value

Let's find out

2x+4y = 11.20

2(2.40)+4y = 11.20

4.80+4y = 11.20

4y = 11.20-4.80

4y = 6.40

y = 6.40/4

y = 1.60

We get the same result as before.

To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.

Answer:

the answer is d

Step-by-step explanation:

it would be 9.7 x 10^3

Answer:

8/5-12x

Step-by-step explanation:

-4(-2/5+3x)

Multiply each term inside the parentheses by -4

-4 * -2/5 + -4 * 3x

8/5-12x

Answer:

-1.6+12x

Step-by-step explanation:

First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x