Please Help Me

The ratio of the number of combinations (2n+2) of different objects taken n at a time to the number of combinations of (2n-2) of different objects taken n at a time is 99:7. Find the value of n.​

Answers

Answer 1

The expected value of n is 1.152

The question states that ratio of 2n+2 and 2n-2 = 99:7. This means that

2n+2:2n-2 = 99:7, this also means that

[tex]\frac{2n+2}{2n-2}[/tex] = [tex]\frac{99}{7}[/tex]

If that is so, we can cross multiply so that

99 * (2n - 2) = 7 * (2n + 2), on expanding the bracket, we have

198n - 198 = 14n + 14

198n - 14n = 14 + 198

184n = 212, dividing both sides by 184, we have

n = 212/184

n = 1.152

Therefore, the value of n is 1.152

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Related Questions

PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 4(1.08)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)

Answers

9514 1404 393

Answer:

0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

Part A:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

  0 ≤ m ≤ 7

__

Part B:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

Part C:

The average rate of change on the interval [3, 7] is given by ...

  (f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

   ≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

what is the answer to this

Answers

Answer:

x = 144

Step-by-step explanation:

x/2= 84-12 = 72

x = 72 x 2 = 144

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The figure shows line RS parallel to line UV. The lines are intersected by 2 transversals.
If the measure of angle STV is 108 degrees and the measure of angle RST is 74 degrees, the measure of angle TVU is [blank1] degrees. :|

Answers

Answer:

Step-by-step explanation:

The measure of angle TVU is 74 degrees.

What is alternate interior angles?

The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.

What is linear pair angles?

Linear pair of angles are formed when two lines intersect each other at a single point.

According to the given question.

m ∠STV = 108 degrees

And,

m ∠RST = 74 degrees

Since, ∠RTS and ∠STV are linear pair of angles.

Therefore,

m ∠RTS + m ∠STV = 180

⇒ m ∠RTS + 108 = 180

⇒ m ∠RTS = 180 - 108

⇒ m ∠RTS = 72 degrees

Now, in ΔRTS we have

m ∠RTS + m ∠TSR + m ∠SRT = 180  (sum of the angles of a triangle is 180 degrees)

⇒ 72 + 74 + m ∠SRT = 180

⇒ m ∠SRT = 180 -146

⇒ m ∠SRT =  34 degrees

Here, ∠SRT and ∠TVU are alternate interior angles.

Therefore,

m ∠SRT = m ∠TVU

⇒ m ∠TVU = 74 degrees.

Hence, the measure of angle TVU is 74 degrees.

Find out more information about alternate interior angles and linear pair of angles here:

https://brainly.com/question/19588918

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WHAT ARE CONGRUENCE LINES

Answers

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.

82 x3 +4 +8 +5 +3
I KNOW THE ANSWER JUST SOME POINTS FOR FREE

Answers

Answer:

266

Step-by-step explanation:

Answer:

it's 266! have a great day :)

explain how you got the answer because I somehow got x > -5 as my answer, please and thanks.

Answers

Answer: x>-5

Step-by-step explanation:

-5(x+7)<-10

Distribute the -5.

-5x-35<-10

Add 35 to both sides.

-5x<25

Divide both sides by -5.

x>-5

Answer:

x > - 5

Step-by-step explanation:

-5(x+7)< -10

-5x - 35 < - 10

- 5x < - 10 + 35

x > 25/-5

234563456768521213457342/1234567213465768676543

Answers

i’m not sure if i understand…

Please help :(((((((((

Answers

Answer:

Yes it is a linear function

Step-by-step explanation:

SOMEONE HELP ITS DUE TONIGHT

Answers

Answer:

n=27 degrees

m=36 degrees

Step-by-step explanation:

So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.

so it is: 180-126/2 which gives you 27 degrees.

this means the n value is 27.

to find m, you have to take away 90 degrees and the n value from 180.

so it is: 180-90-27 which gives you 63 degrees.

now you must take the smaller angle from 63 degrees to find m.

so it is: 63-27 which gives you 36

therefore...

n=27 degrees

m=36 degrees

What is the answer for -6 + x/4 = -5?

Answers

Answer:

4

Step-by-step explanation:

-6 + x/4 = -5 --> add 6 to both sides

x/4 = 1 --> times 4 on each side

x = 4

Your answer would be: x = 4

PLEASE HELP ME I NEED TO ANSWER THIS

Answers

Answer:

the correct answer is 37°

Step-by-step explanation:

just simple geometry haha

Answer:

37

Step-by-step explanation:

( x + 71 ) and 108 are vertically opposite angles.

Vertically opposite angles are equal.

x + 71 = 108

x = 108 - 71

x = 37

If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a black sock as a fraction in simplest form?

Answers

Answer:

3/13

Step-by-step explanation:

three socks out of the 13 are black. therefore you have a 3/13 chance of picking black.

Someone plz help me :(

Answers

Answer:

c

Step-by-step explanation:

you want to take your total amount of points and divide it by the number of games

Help stuck on question number 9

Answers

Answer:

y=4x-4

Step-by-step explanation:

You know that a line perpendicular to the equation (y= -1/4x-14) would have an opposite reciprocal slope.

The slope from the given equation is -1/4x. Take the opposite reciprocal and you get 4/1x or 4x as your slope.

Now use the point-slope formula to find your b value.

(y-y1)=m(x-x1)

m= 4

Plug in (3,8) for x and y, and solve.

(y-8)= 4(x-3)

y-8= 4x -12

y=4x-4

what is 8 divided by 9/10

7 divided by 5/8

8 divided by 1/2

9 divided by 2/3

8 divided by 5/8

8 divided by 1/4

1 divided by 5/10

8 divided by 1/3​

Answers

Answer:

8 divided by 9/10

= 8.8888... = 8 8/9

7 divided by 5/8

= 11.2 = 11 1/5

8 divided by 1/2

= 16

9 divided by 2/3

= 13.5 = 13 1/2

8 divided by 5/8

= 12.8 = 12 4/5

8 divided by 1/4

= 32

1 divided by 5/10

= 2

8 divided by 1/3​

= 24

Step-by-step explanation:

10 pls pls pls help meeee!

Answers

Answer:

SAS

I THINK CORRECT ME IF IM WRONG

Use the graph below to find the x- and y - intercepts .

x-intercept : - 6; y - in ; intercept : 9

x-intercept: 1.5 ; y-intercept: 9

x-intercept : 9; y-intercept : - 6

x-intercept: -6; y-intercept: 3

Answers

x-intercept is -6 and the y-intercept is 9

HELP ASAP PLEASE I BEG TOU

Answers

Answer:

(0,-2)

(2,-1)

(4,0)

Step-by-step explanation:

The points are the above ones.

x intercept: (4, 0)

y intercept: (0, -2)

In the triangle below, suppose that mZL=(x+3)°, mZ M=(5x-7)°, and m N= (2x).
Find the degree measure of each angle in the triangle.
N
(2x)
mL =
日。
х
M
(5x - 7).
m M =


mZN =
(x + 3)°

Answers

Answer:

Given

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]

[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]

To find:

The degree measure of each angle in the triangle.

Solution:

According to the given information,

[tex]m\angleA=90^\circm∠A=90[/tex]

[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]

[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]

Now,

[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]

(Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘

[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]

9x+126=1809x+126=180

9x=180-1269x=180−126

9x=549x=54

Divide both sides by 9.

[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]

x=6x=6

Now,

[tex]m\angle A=90^\circm∠A=90

∘[/tex]

[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]

[tex]m\angle B=37^\circm∠B=37[/tex]

[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]

[tex]m\angle C=53^\circum \: ∠C=53[/tex]

Therefore,

The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer:

26°, 108°, 46°

Step-by-step explanation:

Assumed the given is:

ΔLMN with angle measures of (x + 3), (5x - 7) and 2x.

We need to find the angle measures in degrees.

We know the sum of interior angles is 180:

x + 3 + 5x - 7 + 2x = 1808x - 4 = 1808x = 184x = 184/8x = 23

Find the angle measures:

m∠L = x + 3 = 23 + 3 = 26m∠M = 5x - 7 = 5*23 - 7 = 108m∠N = 2x = 2*23 = 46

Plz help!!!

henrik is shopping at a store. The store is having a sale on all items henrik also has a coupon for an additional amount off the sale price.

The expression 0.7p-15 represents the final price, In dollars, of items with a regular price of p dollars. Complete the table by filling in the value of the coupon and the percent discount of the store's sale

Answers

The amount of the coupon is $30 which gives a discount of 60%.

Regular price of item = p

Final price paid by the buyer = 0.7p - 15

Discount = Regular price - Price paid by the buyer

Discount = p - (0.7p - 15)

Discount = p - 0.7p - 15.

p - 0.7p = 15

0.3p = 15.

Price = 15/0.3

Price = $50

Therefore, the amount paid by the person will be:

= 0.7p - 15

= 0.7(50) - 15

= 35 - 15

= 20

Therefore, the discount will be:

= 50 - 20 = 30

Discount percentage = 30/50 × 100 = 60%

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https://brainly.com/question/25071337

HELP PLEASE
Write each number as a logarthm with base 3.
0
1
-2
4

Answers

Answer:

See below

Step-by-step explanation:

Let the number is x in each case.

Use the property below:

logₐc = b ⇒ aᵇ = c or vice versa

We have:

[tex]log_3x = 0 -->x = 3^0=1 -->log_31=0[/tex][tex]log_3x = 1 -->x = 3^1=3 -->log_33=1[/tex][tex]log_3x = -2 -->x = 3^{-2}=1/9 -->log_3(1/9)=-2[/tex][tex]log_3x = 4 -->x = 3^4=81 -->log_381=4[/tex]

Answer:

[tex]\log_31=0[/tex]

[tex]\log_33=1[/tex]

[tex]\log_3\left(\frac{1}{9}\right)=-2[/tex]

[tex]\log_{3}81=4[/tex]

Step-by-step explanation:

[tex]\textsf{Apply log law}: \quad \log_ax=c \iff x=a^c[/tex]

Therefore:

[tex]\log_3x=0 \implies x=3^0=1[/tex]

[tex]\log_3x=1 \implies x=3^1=3[/tex]

[tex]\log_3x=-2\implies x=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}[/tex]

[tex]\log_3x=4 \implies x=3^4=81[/tex]

Additionally, the logarithm of 1 with any base is always zero:

[tex]\log_a1=0[/tex]

The logarithm of the same number as the base is always 1:

[tex]\log_aa=1[/tex]

What is the equation of the line shown in this graph

Answers

Answer:

y=1

Step-by-step explanation:

The line is hoizonatal so the slope would be undefined and the y intercept would be 1

what is 2x(7+66) i need help

Answers

7+66 is 73,so that means 73 x 2

73 x 2 is 146.

So it is 146

Hope you have a great day.

Good luck

Answer:

146x

Step-by-step explanation:

hope it helps

mark me brainliest

i work on this on last friday

(8x4)+3. What is the answer
6

Answers

Answer:

Step-by-step explanation:

Remember PEMDAS

multiply 4 and 8

32+3

add 32 and 3

35

Answer:

35

Step-by-step explanation:

Follow the steps PEMDAS

8 x 4 = 32

32 + 3 =35

35

Find the distance between P(2, 5 ) and Q( 7 , 3)

Answers

Answer:

PQ = √(7-2)²+(3-5)²

= √ 5²+(-2)²

= √ 25+4

=√29 units

Hope it helps !

Don't forget to mark me as brainliests.

7 times a number plus 3 is 38. find the number​

Answers

Answer:

5

Step-by-step explanation:

7 x 5 =  35

35 + 3 = 38

Chau rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 97 cents for each mile driven. Chau had to pay $306.13 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Chau drove 13.96 miles while he was using the truck

Step-by-step explanation:

Answer:

294 miles!!!!!!

Step-by-step explanation:

Carly withdraws $18 from her bank account. Which number line represents this amount?
-20 -15 -10 -5 0 5 10 15 20,
10 15 20 -20 -15 -10 -5 0 5
10 15 20 -20 -15 -10 -5 0 5,
-20 -15 -10 -5 05 10 15 20.​

Answers

20 15 10 5 0 5 10 15 20
I already withdraw it and saw the answer

The magnitude of an earthquake measured on the Richter scale is given by:
R(L) = log (l/l0), where l = amplitude.
Find the Richter scale rating of an earthquake with amplitude 1. 80 X 10 l0.
HELP ME PLEASEEEEEEEEEEE

Answers

Answer:

1.26

Step-by-step explanation:

R(L)=log((1.8 ×10)=log(18)=1.26

f(x) = 2.5e-0.04x and g(x) = 1.2 + 0.2x.

Answers

f(x) - g(x)

2.5e - 0.04x - 1.2 + 0.2

0.16x + 5.59570457

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