Find MQ in parallelogram LMNQ .

The expression (3a + 2b)^7 is a binomial expression;

The coefficient of the fourth term is 15120

The equation is given as:

(3a + 2b)^7

The above expression is a binomial expression;

Assume the expression is:

(x + y)^n

The equation of the expansion is:

[tex](x + y)^n = ^nC_r * x^{n-k} * y^k[/tex]

When the expression is expanded, the parameters of the fourth term are

n = 7

r = 4

x = 3a

y = 2b

So, we have:

(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4

Evaluate each factor

(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4

Evaluate the powers

(3a + 2b)^7 = 35 * 27a^3 * 16b^4

Evaluate the product

(3a + 2b)^7 = 15120a^3b^4

The coefficient of the above expression is 15120

Hence, the coefficient of the fourth term is 15120

Read more about binomial expressions at:

https://brainly.com/question/13602562

Answer/Step-by-step explanation:

7x- 4 = -182

Step:

Add 4 to both sides

7x - 4 + 4 = -182 + 4

Simplify

7x = -178

Divide both sides by 7

7x/7 = -178/7

Simplify

x = -178/7

Decimal form = -25.4285714286

~lenvy~

Answer:

x = -178/7

Step-by-step explanation:

Given us that:

Which of the following shows the correct solution steps and solution to 7x- 4 = -182

Thus, the steps are:

Adding 4 to both sides

7x - 4 = -182

      +4       +4

------------------------

7x = -178

Divide both sides by 7

7x/7 = -178/x

Simplify

x = -178/7

Solution - x = -178/7

[RevyBreeze]

Answer:

You may want to add more context to this question.

Step-by-step explanation:

the greatest will be  + 567

then 78 ; 0 ; - 6,7 ; - 6,78 ; - 45 and the least one = - 99

Answer:

the answer should be 93.9% let know if in wrong

Roberto's science grade as per weighted average is equals to 93.9%.

" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."

Formula used

Weighted average'W' = ( ∑[tex]w_{i} x_{i}[/tex] ) / ( ∑[tex]w_{i}[/tex] ) , where i = 1, 2,.... n

W= weighted average

n = number of terms to be averaged

w = weight applied to x values

x = data values to be averaged

According to the question,

Given,

Weight applied to quiz 'w₁' = 25%

Weight applied to homework 'w₂' = 10%

Weight applied to to unit tests 'w₃'= 30%

Weight applied to labs 'w₄' = 35%

Average on quiz Roberto earned 'x₁'= 94%

Average on homework Roberto earned 'x₂'= 94%

Average on unit test Roberto earned 'x₃'= 94%

Average on labs Roberto earned 'x₄' = 94%

Substitute the values in the formula we get,

Weighted average

= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)

= (2350 +990 + 2760 + 3290) / 100

= 9390 / 100

=93.9%

Hence, Roberto's science grade as per weighted average is equals to 93.9%.

Learn more about weighted average here

https://brainly.com/question/18554478

#SPJ2

Answer:

49cm^2

Step-by-step explanation:

The perimeter is just a continuous line which forms the boundaries of a geometric figure.

The perimeter is just all the sides added up.

12cm+10cm+10cm+8cm+6cm+3cm = 49cm^2

Answer:

B. A gravestone protrudes from the ground.

Step-by-step explanation:

To protrude means to stick out. All other answers describe the object behind or inside something.

Answer:

B is the answer

Step-by-step explanation:

Hope it helps.

As 12 visitors went down a water slide 4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11 and 1 times, the average number of times each visitor went down is 11.41.

To reach that answer, the following calculation must be performed:

Therefore, each visitor went down, on average, 11.41 times.

Learn more about averages in https://brainly.com/question/897199

Answer:

30 ft.³

Step-by-step explanation:

3ft. × 5ft. × 2ft. = 30 ft.³

Please rate!! I hope this helps!!

Answer:

D

Step by step explanation:

[tex]x^3 \cdot \sqrt[3]{x}\\\\=x^3 \cdot x^{\tfrac 13}\\\\=x^{3+ \tfrac 13}\\\\=x^{\tfrac{10}3}[/tex]

Answer:

A. True

B. True

C. False

D. False

Proportions are created when we set two ratios equal to each other. They help us convert between rates.

Example:

⇒ In this example, we are solving for x.

⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?

To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:

[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]

We're given:

Set up a proportion:

[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]

⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.

Cross multiply:

[tex]8x=14*96\\8x=1344\\x=168[/tex]

Therefore, the jogger would burn 168 calories in 14 minutes of jogging.

Using the normal distribution and the central limit theorem, it is found that there is a 0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

For the population, the mean and the standard deviation are, respectively, given by [tex]\mu = 20, \sigma = 7[/tex].

For samples of n = 10, the standard error is given by:

[tex]s = \frac{7}{\sqrt{10}} = 2.2136[/tex]

The probability that the average water consumed by them is less than 18 ounces is the p-value of Z when X = 18, hence:

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

By the Central Limit Theorem:

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

[tex]Z = \frac{18 - 20}{2.2136}[/tex]

Z = -0.9.

Z = -0.9 has a p-value of 0.18406.

0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

perimeter=21 area=12

Step-by-step explanation:

perimeter- 5+6+10=21

area- b x h x 1/2

6x4/2

24/2

12

Answer:

= 29$ (to the nearest dollar)

Step-by-step explanation:

14.6 gallons of gas

       1 gallon = 1.98$

 14.6 gallons = 14.6 × 1.98$

          = 28.90800$

                   = 29$ (to the nearest dollar)

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

3 is a factor of 12 because 12 is evenly divisible by 3

4 and 8 are not evenly divisible by 3.

the key word here is evenly (without a remainder)

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

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Convert 7 1/8 to an improper fraction.

Simplify 7 * 8 to 56

-56 + 1/8 - (-9 1/2)

Simplify 56 + 1 to 57

-57/8 - (-9 1/2)

Convert 9 1/2 to an improper fraction.

-57/8 - (-9 * 2 + 1/2)

Simplify 9 * 2 to 18

-57/8 - (-18 + 1/2)

Simplify 18 + 1 to 19

-57/8 - (-19/2)

Simplify brackets

-57/8 + 19/2

Find the LCD

LCD = 8

Make the denominators the same as the LCD

-57/8 + 19 * 4/2*4

Simplify. Denominators are now the same

-57/8 + 76/8

Join the denominators

-57 + 76/8

Simplify

19/8

Convert to a mixed fraction.

2 3/8

Your answer is D.

Step-by-step explanation:

Answer:

Maybe 8

Step-by-step explanation:

because its the same side

Answer:

D is d because when You have to do they graph You have multiplicar

Please don't spam the questions.

Step-by-step explanation:

Answer:

  a. (4, 26)

  b. The number of people jogging in 2004 was 26 million.

  c. 43 million

Step-by-step explanation:

To complete the ordered pair, use the given first value of the pair as the value of the variable in the equation. Evaluate the equation to find the second value of the ordered pair:

  y = x +22

  y = 4 +22 = 26

The ordered pair is (4, 26).

__

The ordered pair tells you (years after 2000, number of joggers in millions). That means the ordered pair (4, 26) tells you 4 years after 2000, there were 26 million joggers.

__

21 years after 2000, the value of x is 21, so the value of y is ...

  y = 21 +22 = 43

There will be 43 million joggers in 2021.

Answer:

4 ,-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since surface area is the total area from each side, we will take the area of 3 unique sides (ie. dimensions of A x B x C will give 3 unique surfaces of dimensions A x B, B x C and A x C) and multiply each one by 2 to get the area from its duplicate. This condenses to SA (Surface Area) = 2(AB) +2(BC) + 2(AC).

Substituting in our dimensions:

[tex]SA=2(8\frac{1}{4} * 6\frac{2}{3} )+2(8\frac{1}{4}*12)+2(6\frac{2}{3}*12)[/tex]

Evaluate: SA = 468 yd²

Answer:

1152°

Step-by-step explanation:

interior angles of polygon = (n - 2) x 180, where n is the number of sides.

Decagon has 10 sides. 10 - 2 = 8 and 8 x 180 = 1440

Since there are 10 angles, Each angle a= 1440 / 10, which equals 144.

Finally, multiply 144 by 8 and you get 1152°

Answer:

160 cm²

Step-by-step explanation:

Hello!

We can find the area of the blue shaded. region by finding the area of the rectangle, and subtracting the area of the triangle.

Area of rectangle:

Find the area of the rectangle

The units are cm so the area is 200 cm²

Area Triangle:

Find the area of the triangle

The units are cm so our area is 40 cm²

Area Shaded:

Now we can simply subtract the triangle area from the rectangle.

1) Unanswered (Sorry)

2) Find the cost of a four-line ad
[tex]x = 4 \\Therefore,\\c(4) = 30[/tex]

3) Find the cost of a ten-line ad
[tex]x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60[/tex]