PLEASE HELP ASAP!!! DUE IN SOON!!!

The product of the two terms [tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex] is [tex]\dfrac{n}{(n+1)}[/tex].

A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.

The product of the two fractions can be written as,

[tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex]

Taking 4 as the common term from both numerator and denominator of the first fraction, therefore,

[tex]\dfrac{4n}{4(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\[/tex]

Now, cancelling the common factor from the numerator and the denominator, we will get,

[tex]=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\\\=\dfrac{n}{(n+1)}[/tex]

Hence, the product of the two terms [tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex] is [tex]\dfrac{n}{(n+1)}[/tex].

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Answer:

5x+3

Step-by-step explanation:

(5x+7) is a factor of 10x^2+41x+21.

(5x+3)(2x+7) = 10x^2+41x+21.

Answer:

x = 5

Step-by-step explanation:

21 - 3x = 6

21 - 6 = 3x

15 = 3x

5 = x

therefore x=5

Answer:

23696

Step-by-step explanation:

[tex]Step1\1\\We\ know\ that:[/tex]

↓

[tex]P=15000[/tex]
[tex]r=6.75[/tex]%
[tex]n=1[/tex]
[tex]t=7[/tex]

[tex]Step\ 2:\ Formulate\ and\ substitute:[/tex]

                                [tex]P=15000[/tex]
                                [tex]r=6.75[/tex]%

[tex]Substitute[/tex]                                  [tex]into\ formula[/tex]

                                [tex]n=1[/tex]
                                [tex]t=7[/tex]

[tex]F=P\ast(1+r/n)^{nt}[/tex]

[tex]F=15000\bullet(1+6.75\bullet\frac{1}{100})^7[/tex]

[tex]Step\ 3:Evaluate[/tex]

[tex]Evaluate\ the\ equation/expression:[/tex]

[tex]23695.53098[/tex]

[tex]Step\ 4:\ Find\ the\ value[/tex]

[tex]Find\ the\ closest\ integer\ to\ 23695.53098:[/tex]

[tex]23696\ YOUR\ ANSWER[/tex]

I hope this helps you

:)

Answer:

[tex]\frac{1}{3600}[/tex]

Step-by-step explanation:

400^2 = 160,000

5 2/6 = 32/6 = 16/3

6 70/30 = 250/30 = 25/3

16/3 * 25/3 = 400/9

400/9 / 160,000 = 1/3600

Answer:

x=5

Step-by-step

5x+2(2x+3)=51

5x+4x+6=51

9x+6=51

9x=45

x=5

Answer:

STEP 1:Equation at the end of step 1 ((3 • (p3)) + 32p2) - 210p

STEP 2 :Equation at the end of step 2: (3p3 + 32p2) - 210p

STEP 3:STEP 4:

Pulling out like terms  4.1     Pull out like factors :   3p3 + 9p2 - 210p  =   3p • (p2 + 3p - 70) 

Trying to factor by splitting the middle term 4.2     Factoring  p2 + 3p - 70 The first term is,  p2  its coefficient is  1 .The middle term is,  +3p  its coefficient is  3 .The last term, "the constant", is  -70 Step-1 : Multiply the coefficient of the first term by the constant   1 • -70 = -70 Step-2 : Find two factors of  -70  whose sum equals the coefficient of the middle term,

which is   3 .     -70   +   1   =   -69     -35   +   2   =   -33     -14   +   5   =   -9     -10   +   7   =   -3     -7   +   10   =   3   That's itStep-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  10                      p2 - 7p + 10p - 70

Step-4 : Add up the first 2 terms, pulling out like factors :                    p • (p-7)              Add up the last 2 terms, pulling out common factors :                    10 • (p-7)Step-5 : Add up the four terms of step 4 :                    (p+10)  •  (p-7)             Which is the desired factorization

Final result : 3p • (p + 10) • (p - 7)

Step-by-step explanation:

mark me brainliest!!

Answer:

Hi I'm learning the same thing and I just got it I think it's C=43.98cm

[tex]Y=0.213x-352[/tex]  will represent this linear model shown in the data table.

Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option

So if we put the value x=1980 in the [tex]Y=0.213x-352[/tex]  then

[tex]Y=0.213(1980)-352[/tex]

[tex]Y=69.74[/tex]

These values are closest to 70.1 whereas other options do not satisfy the condition.

Thus [tex]Y=0.213x-352[/tex]  will represent this linear model shown in the data table.

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Answer:

the answer is $16

Step-by-step explanation:

Answer:

here u go the answer is $16

Step-by-step explanation:

Answer:

5x +9 is the least common denominator

Step-by-step explanation:

Answer:

  $35.10

Step-by-step explanation:

The discount amount is subtracted from the original price to find the discounted price. That math can be done a couple of different ways.

  discount = discount rate × original price

  sale price = original price - discount

Or, these equations can be combined:

  sale price = original amount × (1 - discount rate)

__

Using the latter equation, we get ...

  sale price = $45.00 × (1 - 0.22) = $45.00 × 0.78 = $35.10

Leia will be paying $35.10 for the jacket.

Answer:

a) 390

b) 239

c) 151

Step-by-step explanation:

a) 30 + 15 + 45 + 300 = 390

b) 160 + 30 + 9 + 40 = 239

c) 390 (income) - 249 (expenses) = 151 pounds (profit)

5 / ( 2 / 3 ) = 7.5

7 full jars

Step-by-step explanation:

2×3=6 I think it's like this

Answer:

probably 7x + 5y

Step-by-step explanation:

Answer: 7x + 5y

Step-by-step explanation:  You combine the like terms so you would add 2x and 5x to get 7x-2+7y. Then you combine the other like terms so subtract -2y and 7y (You are subtracting because a negative and a positive is a negative).

I hope this helps :)

Answer:

the answer is 6C+24 or if you divide 6 on both sides c+4

examples/expressions:

1. 4(1.5c+6)

2. 3(2c+8)

3. 2(3c+12)

4. 12(0.5c+2)

The statements about the power that is true include E. I, II, and III.

Power simply means the amount of energy that is transferred or converted per unit time.

It should be noted that an increase in sample size increases power and a test with a higher power is more likely to reject false null hypothesis.

Increasing sample size will make the hypothesis test more sensitive and thus more likely to reject the null hypothesis. Thus, it increases the power of the test.

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Answer:

[tex]9 \frac{4}{5} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times 7 = \frac{7}{5} \times \frac{7}{1} [/tex]

[tex] \frac{7}{5} \times \frac{7}{1} = \frac{49}{5} = 9 \frac{4}{5} [/tex]

Answer:

So here we have 3 adjacent angles, and add them all up they would equal a right angle as shown in the diagram.

POT is the right angle which can be seen by the square

POQ is the first angle

QOS is the second

SOT is the third

Now solve it.

We know that it has to be equal to 90 since thats the final reasoning.

4a + 20 + 3a - 10 + a = 90

Solve.

So you’d get 10.

If you want to elaborate then just say all adjacent angles has to add put o 90 since

Answer: 4

Step-by-step explanation:

Simply divide 12 by 3 because it states she will give 3 to every class,

12/3=4!

Ok, good job for posting the answer

Answer:

For me it says pmn is 63 degrees

Step-by-step explanation:

Answer:

3052 cm^3 (Answer C)

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2(pi)(r).  We know that C = 56.52 cm and want to find the model's radius:

                                       C                                                56.52 cm

Solving for r, we get ----------   so that in this case   r = ------------------  or

                                      2(pi)                                                 6.28

r = 9 cm.

The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r^3), which here comes out to:

V = (4/3)(3.14)(9 cm)^3 = 3052 cm^3 (Answer C)

Using the normal distribution and the central limit theorem, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For each sample, they are given by:

[tex]\mu_W = 82.3, s_W = \frac{18.2}{\sqrt{9}} = 6.0667[/tex]

[tex]\mu_S = 65, s_S = \frac{17.73}{\sqrt{6}} = 7.2382[/tex]

For the distribution of differences, we have that:

[tex]\mu = \mu_W - \mu_S = 82.3 - 65 = 17.3[/tex]

[tex]s = \sqrt{s_W^2 + s_S^2} = \sqrt{6.0667^2 + 7.2382^2} = 9.4444[/tex]

The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, one subtracted by the p-value of Z when X = 0, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0 - 17.3}{9.4444}[/tex]

[tex]Z = -1.83[/tex]

[tex]Z = -1.83[/tex] has a p-value of 0.0335.

1 - 0.0335 = 0.9665.

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Answer:

76 m^2

Step-by-step explanation:

Area of a rectangle is width*height. So to find width we will do area/height.