can i have help with this

Answer:

Part A)

[tex]\displaystyle z_6 = 9609600000x^{10}[/tex]

Part B)

[tex]z_4 = 10500 x^9[/tex]

Step-by-step explanation:

Recall the binomial expansion theorem:

[tex]\displaystyle (x+y)^n = \sum_{k=0}^{n}{n \choose k} x^{n-k} y^k[/tex]

Part A)

Our expression is equivalent to:

[tex]\displaystyle (2x+5)^{15} = \sum_{k = 0}^{15} {15 \choose k} (2x)^{15-k}\cdot 5^k[/tex]

To find the sixth term, let k  = 5. Therefore, the sixth term is:

[tex]\displaystyle \begin{aligned} z_6 &= {15\choose 5} (2x)^{15-5}\cdot 5^5 \\ \\ & = {15\choose 5}x^{10} \cdot (2)^{10}\cdot 5^5 \\ \\ &= 9609600000x^{10}\end{aligned}[/tex]

Part B)

Likewise:

[tex]\displaystyle \begin{aligned} \left(x^2 + \frac{5}{x}\right)^9 = \sum_{k=0}^9 {9\choose k}(x^2)^{9-k}\left(\frac{5}{x}\right)^{k}\end{aligned}[/tex]

To find the fourth term, let k = 3. Therefore, the fourth term is:

[tex]\displaystyle \begin{aligned} z_4 & = {9\choose 3}\left(x^2\right)^{9-3} \left(\frac{5}{x}\right)^{3} \\ \\ & = {9\choose 3}x^{12} \cdot \frac{5^3}{x^3} \\ \\ & = 10500x^9\end{aligned}[/tex]

Answer:

its 150

Step-by-step explanation:

the "ten" is 5 to round it it will have to be the number to the right, which is 0 if its below 4 its changed to 0 and nothing happens to the ten

Answer:

x ≈ 8.7

Step-by-step explanation:

given 2 secants from an external point to the circle, then

the product of the external part of one secant and the entire secant is equal to the product of the external part of the other secant and the entire secant , that is

6(6 + x) = 4(4 + 18) ← distribute parenthesis on both sides

36 + 6x = 4 × 22 = 88 ( subtract 36 from both sides )

6x = 52 (divide both sides by 6 )

x ≈ 8.7 ( to the nearest tenth )

Answer:

yes of course it was a question about the same as you can use it for a while now I am with you forever

The ratio in the form of 1 :n is 1:300.

Ratio of two number A and B is the comparison of A with respect to B and when two ratios are equal they are said to be in proportion.

It is given that a ratio is

6mm : 180cm

It has to be simplified in the form of

1:n

1 cm = 10mm

therefore

180 cm = 1800 mm

6mm:180cm = 6/ 1800

= 1/300

Therefore the ratio in the form of 1 :n is 1:300.

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The possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.

First we take a look of the properties of the likely names;

Properties of Parallelograms

Properties of Quadrilaterals

Properties of Rectangles

Properties of Rhombus

Properties of Trapezoids

From the properties, the shape is not a rectangle because each of the interior angle is not 90 degrees. It is not a Rhombus because all its sides are not equal. It is not a Trapezoid because only the bases are parallel to each each other.

Hence, the possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.

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Changing the confidence level from 95% to 90% will make the necessary sample size decrease if the margin of error stays the same.

From the question, we understand that the confidence level decreases from 95% to 90%

When the confidence level decreases, the sample size increases because the standard error increases

Hence, the statement that completes the blank is decrease

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Answer:

g(-3) = 20

g(2) = 10

g(7) = 100

Step-by-step explanation:

g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).

g(x) = 2f(x)

g(x) = 2(x² + 1)

Multiply.

g(x) = 2x² + 2

Now that we have g(x) we just substitute values in the function.

g(-3) = 2(-3)² + 2

        = 2(9) + 2

        = 18 + 2  

        = 20

g(2) = 2(2)² + 2

        = 2(4) + 2

        = 8 + 2  

        = 10

g(7) = 2(7)² + 2

        = 2(49) + 2

        = 98 + 2  

        = 100

Answer:

ehhhh probably C cuz it makes more sense

Answer:

C.

Step-by-step explanation:

9+ 15+ 17+ 18+6+ 20+ 8+ 5+ 18+ 18+ 10+ 5+ 14+ 12+ 10+ 7=192

192/16=12

Hope this helps!

If not, I am sorry.

Answer:

x ≈ 4.4

Step-by-step explanation:

using the tangent ratio in the right triangle

tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{UV}{VW}[/tex] = [tex]\frac{4.1}{x}[/tex] ( multiply both sides by x )

x × tan43° = 4.1 ( divide both sides by tan43° )

x = [tex]\frac{4.1}{tan43}[/tex] ≈ 4.4 ( to the nearest tenth )

The value of x, Round to nearest tenth is,

⇒ x = 4.4 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A triangle is shown in image.

Now, We can formulate;

tan 43° = Opposite / Base

⇒ tan 43° = 4.1 / x

⇒ 0.932 = 4.1 / x

⇒ x = 4.1 / 0.932

⇒ x = 4.39

⇒ x = 4.4 units

Thus, The value of x, Round to nearest tenth is,

⇒ x = 4.4 units

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Answer: y > -1/2x + 2

Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.

Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis

Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}

(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)

Answer:

25

Step-by-step explanation:

35 days is 5 weeks , 7 days is 1 week

By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.

If y varies directly with x, then we can write the relation as:

y = k*x

Where k is the constant of proportionality.

First, we know that when x = 4, we have y = 8, replacing that we get:

8 = k*4

Solving for k, we get:

k = 8/4 = 2.

Then the relation between x and y is:

y = 2*x

When x = 16, we have:

y = 2*16 = 32

Then the correct option is a.

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Based on the calculations, the volume of this louvre pyramid is equal to 8,983 cubic meter..

Given the following data:

Base width = 35 meters.

Height = 22 meters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × base area × height

For the base area, we have:

Area = w²

Area = 35² = 1,225 m².

Substituting the parameters into the formula, we have;

Volume = 1/3 × 1,225 × 22

Volume = 1/3 × 26,950

Volume = 8,983 cubic meter.

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Answer:

3/2,6

Step-by-step explanation:

Answer:

answer is 6/4 because 18/6=3,12/4=3 so,

The answer is f of 5 = negative 1. The correct answer is option B

The complete graph is attached with the answer below.

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.

Therefore answer is f of 5 = negative 1. The correct answer is option B

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Answer:

The answer is f of 5 = negative 1.

Step-by-step explanation:

Edge

Answer:

5/7 - 2/6 = 16/42

Choice 4^th

Step-by-step explanation:

Given equation:

5/7 - []/6 = 16/42

To Find:

The missing numerator

Solution:

Let us assume that the missing numerator is x.

Then the equation will be:

[tex] = > \cfrac{5}{7} - \cfrac{x}{6} = \cfrac{16}{42} [/tex]

Solve the equation to get our solution.

[tex] = > \cfrac{5}{7} - \cfrac{1x}{6} = \cfrac{16}{42} [/tex]

You'll need to re-write this equation as:

[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} = \cfrac{8}{21} [/tex]

Subtract 5/7 from both sides:

[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} - \cfrac{5}{7} = \cfrac{8}{21} - \cfrac{5}{7} [/tex]

[tex] = > \cfrac{ - 1}{6} x = \cfrac{ - 1}{3} [/tex]

Multiply both sides by 6/-1:

[tex] = > \cfrac{ \cancel{- 1}}{ \cancel6} x \times \cfrac{ \cancel6}{ \cancel{- 1}} = \cfrac{ \cancel{- 1}}{ \cancel3} \times \cfrac{ \cancel6 {}^{2} }{ \cancel{ - 1} }[/tex]

[tex] = > \boxed{ x = 2}[/tex]

Hence,

5/7 - 2/6 = 16/42

Choice 4^th

[tex] \rule{225pt}{2pt}[/tex]

Answer:

the top of the ladder is approx 8.485 meters off the ground

written explanation included

Step-by-step explanation:

I should probably write this out in one note but bear with me, please.

Assuming the ground and the wall meet at a 90° angle

therefore the angles of the triangle formed are 90°, 30°, and 60°

The length of major arc ACD in the circle with center D is given as (325/36)π feet

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of major arc ACD = [(360 - 35) / 360) * 2π(10/2) = (325/36)π feet

The length of major arc ACD in the circle with center D is given as (325/36)π feet

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Answer:

496 people

Step-by-step explanation:

If 124 people attend 2 show times, in 8 show times (8 is four times of 2 show times; 8 / 2 = 4) there will be 124 · 4 people.

124 · 4 = 496.

In 8 show times, there will be 496 people who view the movie

(Or, if there are 124 people in 2 shows, it means that there were 62 people in each show [assuming the crowd was split evenly], and if there were 8 shows, there would be 62 · 8 people, 62 · 8 = 496)

Answer:

230??

Step-by-step explanation:

If C =270°

And b=40°

270-40= 230

Actually belive the one on top

The expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose the width of the rectangle is w and the length of the rectangle is l

Then, the area of rectangle(A) can be given as:

A = lw

divide by l on both the sides:

A/l  =  lw/l

A/l = w

or

w = A/l

Thus, the expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

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Answer:

two groups

Step-by-step explanation:

you just divide the six students into two groups of two

Formulate

Based on the given conditions, formulate:

78 - (-14)

Calculate

78 - (-14)

Determine the sign

78 +14

Calculate

92

SO THE ANSWER IS 92

Answer:

32 sq inches

Step-by-step explanation:

Answer:

2996

Step-by-step explanation:

5x + 4x = 6741

9x = 6741

x = 6741/9

x = 749

to get the no votes,

4x i.e 4*749

=>  4*749 = 2996

hope this helps :)

Answer:

2996

Step-by-step explanation:

Answer:

B

C

B, C

Step-by-step explanation:

Equation for each tree's growth.

A: y = 4x + 5

You are correct.

B: Your slope is correct, 4.5

Equation of height: y = 4.5x + 3

C: It starts at 10 inches, so in y = mx + b, b = 10.

Now we find the slope from points on the graph (0, 10) and (3, 20).

slope = m = (20 - 10)/(3 - 0) = 10/3

Equation: y = 10x/3 + 10

Questions:

Which tree is growing fastest:

The slope is the rate of growth.

Answer: B since it has the greatest slope.

Tallest tree when planted:

The y-intercept is the4 initial height.

Answer: C since it was 10 inches tall at planting.

Challenge:

A: 4x + 5 = 4(6) + 5 = 29

B: 4.5x + 3 = 4.5(6) + 3 = 30

C: 10x/3 + 10 = 10(6)/3 + 10 = 30

Trees B and C were both 30 inches at 6 months. Tree A was 29 inches.

Answer: B and C