What are the coefficients for the binomial expansion of (p q)6? 1, 8, 28, 56, 70, 56, 28, 8, 1 1, 6, 15, 20, 15, 6, 1 1, 5, 10, 10, 5, 1 1, 4, 6, 4, 1

The approximate predicted population of fish living in the lake in the year 2020 is; B: 800

We are told that the equation that describes the curve of best fit for the fish population (y) is;

y = 1500(0.9)^(z)

where z represent the

number of 10-year intervals since 1960.

The table started in the year 1960 and we want to find the population in the year 2020.
Number of years after 2020 is;

2020 - 1960 = 60 years

60 years is 6 decades

Thus;

y = 1500(0.9)⁶ = 797 ≈ 800

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In the triangle , Angle A is 51.1 degrees,  B is 54.5 degrees , C  is 74.4 degrees.

A triangle is defined as a polygon with three sides , three angles and three vertices.

Using the Law of Cosine to solve the Triangle and to determine the value of all the angles

c² = a²+ b² -2abCosC

a = 42 , b=44 , c = 52

52² = 42² + 44² -2 * 42 * 44 cos C

2704 = 1764 + 1936 -3696 cos C

cos C = 0.269

C =74.4 ° (degrees)

Similarly calculating for A and B will give

Angle A is 51.1 degrees

Angle B is 54.5 degrees

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Answer:

x = 97.5 degrees

Step-by-step explanation:

First, we need to know what the total sum of interior angles. We use the formula (n-2) * 180, n being the number of sides.

Since this is a 6-sided polygon, the sum is (6-2) * 180, or 720 degrees.
We have the total sum of interior angles, so now we have all the information we need.
720 degrees = (2x-50) + (x+40) + 80 + (x+20) + 90(right angle symbol) + 150
720 = 4x + 330 (subtract 330 from both sides)

390 = 4x (divide by 4)
x = 97.5 degrees

Answer:

The slope is 0.

Step-by-step explanation:

x is the gradient of the line, so multiplying the slope, zero, by the gradient, x, would make this equal to zero.

Answer:

A=5.4×4.4=23.76 in

because the are of the paralelogram is base ×high

Answer:

16.50+1.32 u happy its so easy

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

There are a list of possible outcomes:

This represents 8 outcomes.

The only ones that have two tails are:

Because there are 3, this means that the probability in a fraction form of Brian getting exactly 2 tails is 3/8. P ( exactly 2 tails) = 3/8.

Answer:

I don't see any symbols, so I'll simply compare the two measurements.

Step-by-step explanation:

2 yards and 4 inches

Each yard has 3 feet.  Each foot has 12 inches.  The total inches in 3 yards is therefore:

(2 yards)*(3 feet/yard)*(12 inches/Foot) = 72 inches  [Note how the units cancel to leave only inches]

This means we have a total of 72 + 4 inches = 76 inches total

19 Inches

Compared to 19 inches, 72 inches is almost 3.79 times longer.

Answer:

yes of course it exists until to you practice a little bit hard. so let's. try

The solution to the equation 4 + √(5x + 66) = x + 10 is x = -10 and x = 3

From the question, we have the following parameters that can be used in our computation:

4 + √(5x + 66) = x + 10

Subtract 4 from both sides

So, we have

√(5x + 66) = x + 6

Take the square of both sides

5x + 66 = x² + 12x + 36

So, we have

x² + 7x - 30 = 0

When expanded, we have

x² + 10x - 3x - 30 = 0

So, we have

(x + 10)(x - 3) = 0

Solve for x

x = -10 and x = 3

Hence, the solution to the equation 4 + √(5x + 66) = x + 10 is x = -10 and x = 3

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The predicted store profit if 0 computers are sold for the day is $-150.

Profit is the total selling price less the cost price of an item.

Profit = selling price - cost price

Given the regression line, û = -150 +24x, substitute for x

û = -150 +24(0)

û = -150

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Answer:

The answer above is correct -150 is correct

Step-by-step explanation:

EDG2022

Answer:

9/10

Step-by-step explanation:

First you would have to make the denominators the same, and they have an lcd of 10. So multiply 2/5 by 2 which is 4/10

and then 1/2 by 5 to get 5/10

then add 4/10 and 5/10 together and you get 9/10

The graph is a one to one function , Option A is the correct answer.

A function is defined as the algebraic expression that identifies relation between a dependent and an independent variable.

All the function have a defined domain and Range.

To test that the given graph is a function ,

A vertical line test will be done , A vertical is passes through different points of the graph and for every unique value of x , we get a single solution of y , therefore it is a function

Then  horizontal Line test is done to determine if it is a one to one function, for every y value there is only one x value.

The graph passes the horizontal line test.

Therefore The graph is a one to one function , Option A is the correct answer.

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A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The correct option is B.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the measure of arc, RS is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.

(3x-14)° + (3x-14)° + (2x+8)° = 180°

8x -20 = 180

8x = 200

x = 25

Hence, the correct option is B.

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The slant height of the pyramid can be calculated using Pythagoras theorem. Therefore, the slant height is 6.7 mm

The slant height x, can be found using Pythagoras theorem,

Therefore,

c² = a² + b²

where

Therefore,

x² = 4.5² + 5²

x² = 20.25 + 25

x² = 45.25

x = √45.25

x = 6.72681202354

x = 6.7 mm

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Answer:

r = 76°

Step-by-step explanation:

61° + 43° + r = 180° { <'s on a straight line are supplementary}

104+r=180

r = 180-104

r = 76°

Answer:

D. 2

Step-by-step explanation:

If you multiply any side from XYZ by 2 it will equal the same length of one of the sides of UVW.

Step-by-step explanation:

Answer:

[tex] 56\: in^2[/tex]

Step-by-step explanation:

Answer:

26, 28, 29, 32, 36, 37, 38, 40

Step-by-step explanation:

Answer: he drives 273 miles for 7 hours

Step-by-step explanation:

Answer:

Answer is $2,637.38

Step-by-step explanation:

The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. The Height on the wall till which the ladder reaches is 21.148 ft.

The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The height of the wall can be found by using the trigonometry ratios, therefore, the height of the wall can be determined as,

Sin(74°) = (Height on the wall)/(Length of the wall)

Sin(74°) = (Height on the wall)/22 ft

(Height on the wall) = 21.148 ft

Hence, the Height on the wall till which the ladder reaches is 21.148 ft.

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Answer:

21.15

Step-by-step explanation:

The distance between the refreshment stands is 440 feet

From the question, we are to determine how far apart are the refreshment stands in feet

From the given information,

The parade route is 3/4 mile long

and

There are refreshment stands at the beginning and end of the route. And there will also be 8 refreshment stands along the route.

This means there will be 10 refreshment stands in all.

If there are 10 refreshment stands in all, then there will be 9 spaces between the refreshment stands.

∴ The distance between any two refreshment stands will be

3/4 mile ÷ 9 = 3/36 mile = 1/12 mile

Now, we will convert this to feet

NOTE: 1 mile = 5280 feet

∴ 1/12 mile = 1/12 × 5280 feet

= 440 feet

Hence, the distance between the refreshment stands is 440 feet.

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Answer:

if im not mistaken the andswer is D

The correct answer is option D which is the second coordinate of the vertex of the quadratic function that represents the maximum height of the baseball.

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

The second coordinate of the vertex of the quadratic function represents the maximum height of the ball.

The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t)

General form of h(t) will be -16x² + v(t) + h

Where v represents initial velocity and h represents the initial height

h(t) represents the height of the baseball

h(t) is negative so the height reaches the maximum

vertex (h,k) represents maximum height (k) when time t=h

So the second coordinate of the vertex of the quadratic function represents the maximum height of the ball.

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Answer: D

Step-by-step explanation

Turn into coordinates pair

Slope

Equation

#1

A week is of 7 days

total fishes Sara has=2(7)=14

Total mel will have

#2

The each day Sara caught 2fishes

pattern for Sara 's total

d is days

#3

Mel also caught 2(2)=4 fishes a day

Mel caught all together is 2(Sara)

#4

They are in proportion to each other

#5

Sara would have 10(2)=20fishes

Mel would have.

Answer:

Q1)

The number of fish Sara caught increases by 2 each day.

The number of fish Sara caught increases by 4 each day.

[tex]\large \begin{array}{| c | c | c |}\cline{1-3} & \sf SARA& \sf MEL\\\sf Days & \sf fish\:caught & \sf fish\:caught \\& \sf altogether & \sf altogether\\\cline{1-3} 1 & 2 & 4 \\\cline{1-3} 2 & 4 & 8 \\\cline{1-3} 3 & 6 & 12 \\\cline{1-3} 4 & 8 & 16 \\\cline{1-3} 5 & 10 & 20 \\\cline{1-3} 6 & 12 & 24 \\\cline{1-3} 7 & 14 & 28 \\ \cline{1-3}\end{aligned}[/tex]

Q2)

Sara caught 2 fish each day.

The pattern that describes how many fish Sara caught altogether is:

2 times the number of days

Q3)

Mel caught 4 fish each day.

The pattern that describes how many fish Mel caught altogether is:

4 times the number of days

Q4)

The number of fish Mel caught altogether is twice the number of fish Sara caught altogether.

Q5)

The number of fish Sara and Mel would have caught by day 10:

Using it's formula, it is found that their monthly payments for the mortgage loan will be of $515.45.

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

In this problem, we have that the parameters are given as follows:

P = 80000, r = 0.06, n = 25 x 12 = 300.

Hence:

r/12 = 0.06/12 = 0.005.

Then, the monthly payment will be of:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 80000\frac{0.005(1.005)^{300}}{(1.005)^{300} - 1} = 515.45[/tex]

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If each student like at least one activity, the number of student that like both is 25

The class have 75 students.

50 like visiting and 50 like picnic.

Therefore, if each student like at least one activity, the number of student that like both can be calculated as follows;

let

x = student that like both

75 = 50 + 50 - x

Therefore,

75 = 100 - x

75 - 100 = -x

-25 = -x

x = 25

Therefore, the number of students who like both are 25.

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