The coefficient of x^k y^n-k in the expansion of (x+y)^n equals ( k n)
A: True
B: False

pls help

Answer:

5000

Step-by-step explanation:

Let's start by evaluating what we are given. 50 times the sum of 64 and 36. Ok, so 50 times which is the way to write x (multiply) and the sum of 64 and 36 is another way to write 64 + 36.

Lets put this together now!

50 x ( 64 + 36 ) = 50 x ( 100 )

                         = 5000

Answer: what is the question asking?

Step-by-step explanation:

Answer: 132

Step-by-step explanation:

Answer:it might be A

Answer:

\( = \frac{5}{2} = 2 \frac{1}{2} \)

Step-by-step explanation:

\(2 \times \frac{5}{4} \)

\(2 \div 2 \times \frac{5}{4 \div 2} \)

\( \boxed{\green{= \frac{5}{2} = 2 \frac{1}{2} }}\)

Step-by-step explanation:

\(2 \times \frac{5}{4} \\ \frac{2 \times 5}{4} \\ \frac{10}{4} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 0.4\)

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

\(1.6*10^{-5}\)

Step-by-step explanation:

\(\displaystyle \frac{0.02^2*0.01}{0.5^2}\\\\=\frac{0.0004*0.01}{0.25}\\\\=\frac{0.000004}{0.25}\\\\=\frac{4*10^{-6}}{2.5*10^{-1}}\\\\=\frac{4}{2.5}*10^{-6-(-1)}\\\\=1.6*10^{-5}\)

Hope this helped!

Answer:

20.43 Hope it helps

Area of the circle is 78.5 square feet

"The area of the circle is the measure of the space or region enclosed inside the circle. In simple words, the area of a circle is the total number of square units inside that circle."

Given

Radius of circle = 5 feet

Formula to find area of a circle

A = \(\pi r^{2}\)

⇒ A = \(\pi (5)^{2}\)

⇒ A = \(25\pi\)

⇒ A = 78.5 square feet

Hence, Area of the circle is 78.5 square feet

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Answer:

Step-by-step explanation:

Compound interest is represented by the following equation:

Therefore, for the given information:

Solve for the future amount, and then subtract it from the principal. The product would be the interest earned:

Answer:

Step-by-step explanation:

equation

area(base1 + base2)

Answer:

7s + 2 would be an expression

Answer:

7x+2? Or maybe 7x (x) 2

Step-by-step explanation:

Answer:

y = -2

Step-by-step explanation:

fkn god complex ez

Answer:

(a) 3581 N

(b) 6.1 kJ

(c) 4.5 kJ

(d) 74.6%

Step-by-step explanation:

(a) To lift the piano straight up, we need to counteract the force of gravity acting on it. The force required can be calculated using the formula F = mg, where F is the force, m is the mass of the piano, and g is the acceleration due to gravity. So, F = (230 kg) x (9.81 m/s^2) = 3581 N.

(b) The work done in lifting the piano is given by the formula W = Fd, where W is the work done, F is the force required to lift the piano, and d is the height to which the piano is lifted. So, W = (3581 N) x (1.7 m) = 6.1 kJ.

(c) Using a ramp reduces the force required to lift the piano. The force required can be calculated using the formula F = mg sinθ, where θ is the angle of inclination of the ramp. We are given that the force required is 300 N and the length of the ramp is 15 m. So, sinθ = F/mg = 300/(230 x 9.81) = 0.1416. Therefore, θ = sin^-1(0.1416) = 8.13 degrees. The work done using the ramp can be calculated using the formula W = Fd, where d is the height to which the piano is lifted. Using trigonometry, we can find that the height to which the piano is lifted is 1.53 m. So, W = (300 N) x (15 m) x sin 8.13 degrees = 4.5 kJ.

(d) The efficiency of the ramp is the ratio of the work output to the work input, expressed as a percentage. The work output is the same as the work done using the ramp, which is 4.5 kJ. The work input is the same as the work done when lifting the piano straight up, which is 6.1 kJ. So, the efficiency of the ramp is (4.5/6.1) x 100% = 74.6%.

Answer:

-2

Step-by-step explanation:

It intersects with x-axis at -2 which is the x-intercept of the line.

Answer:

-2

Step-by-step explanation:

The x intercept is where the line crosses the x axis.

The line crosses where x = -2

Answer:

112cm³

Step-by-step explanation:

Let us ignore the bottom part of the figure and first find only the volume of the cuboid at the top

from the figure we know that

length of the cuboid is 10 cm

Width is 2 cm

height is 5 cm

now the formula for Volume of cuboid is Length×Width×Height

so,

Volume of the Upper Cuboid = 10×2×5= 100cm³ ---(1)

Now we will ignore the cuboid on top and find the volume of the one at the bottom

From the figure, we know that its dimensions are

length = 2cm

height = 3cm

width = 2cm

Volume of the lower cuboid = 2×2×3 = 12cm³ ---(2)

Adding (1) and (2)

100cm³ + 12 cm³ = 112cm³

Therefore the volume of the given figure is 112cm³

The volume of the box is 112 cm³.

We have,

The figure can be considered as two boxes.

Now,

One box:

Volume.

= Length x Width x height
= 10 x 2 x 5

= 100 cm³

Another box:

Volume.

= Length x Width x height
= 2 x 2 x 3

= 12 cm³

Now,

The volume of the box.

= 100 + 12

= 112 cm³

Thus,

The volume of the box is 112 cm³.

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It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

To solve this problem, we can use the concept of "work rates."

Let's find out how much work Fran and Denise can do individually in one hour.

If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).

Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).

When they work together, their work rates are additive.

So, their combined work rate would be:

\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)

\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)

\(=\frac{7}{24} room/hour\)

This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.

To determine the total time required for them to paint the entire room, we can invert their combined work rate:

\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)

Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

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Answer: 1.82 m

Step-by-step explanation:

Ratios

0.14     n              0.14 x 13 = 1.82

 1.         13                    1.82/1 = 1.82

Answer:

216

Step-by-step explanation:

6*6*6= 216

btw i am not using the formula for volume. 6*6 because you need the area of one side. then multiply that by 6 because there are 6 sides of a cube so 6*6*6=216

Answer:

(2,-7)

Step-by-step explanation:

Reflection rule for across the x-axis: \((x,y)\rightarrow (x,-y)\)

Using the rule and point (2,7):

\((2,7)\rightarrow(2,-7)\)

(2,-7) should be the correct answer.

Brainilest Appreciated.

Answer:

Area of ellipse=\(\pi ab\)

Step-by-step explanation:

We are given that

\(x=acos\theta\)

\(y=bsin\theta\)

\(0\leq\theta\leq 2\pi\)

We have to find the area enclose by it.

\(x/a=cos\theta, y/b=sin\theta\)

\(sin^2\theta+cos^2\theta=x^2/a^2+y^2/b^2\)

Using the formula

\(sin^2x+cos^2x=1\)

\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

This is the equation of ellipse.

Area of ellipse

=\(4\int_{0}^{a}\frac{b}{a}\sqrt{a^2-x^2}dx\)

When x=0,\(\theta=\pi/2\)

When x=a, \(\theta=0\)

Using the formula

Area of ellipse

=\(\frac{4b}{a}\int_{\pi/2}^{0}\sqrt{a^2-a^2cos^2\theta}(-asin\theta)d\theta\)

Area of ellipse=\(-4ba\int_{\pi/2}^{0}\sqrt{1-cos^2\theta}(sin\theta)d\theta\)

Area of ellipse=\(-4ba\int_{\pi/2}^{0} sin^2\theta d\theta\)

Area of ellipse=\(-2ba\int_{\pi/2}^{0}(2sin^2\theta)d\theta\)

Area of ellipse=\(-2ba\int_{\pi/2}^{0}(1-cos2\theta)d\theta\)

Using the formula

\(1-cos2\theta=2sin^2\theta\)

Area of ellipse=\(-2ba[\theta-1/2sin(2\theta)]^{0}_{\pi/2}\)

Area of ellipse\(=-2ba(-\pi/2-0)\)

Area of ellipse=\(\pi ab\)

Answer:

D. Highest increase in the multiple R2.

Step-by-step explanation:

Included variables in a multiple regression model are those variables which have the most effect on the model ; variables which have no effect on the performance of the model ar discarded. Model performance are based on the variables affect the multiple R² value of the model. The R² value is the coefficient of determination which gives the proportion of change in predicted value based on the regression line. Higher R² value means the variable has greater effect in the model performance. Therefore, variables which have the highest increase on the multiple R² value , are included.

Answer: 3 11/15  please mark brainliest If I helped you.

the question is kayar and 12 by 5 miles on Monday and 21 by three miles on Tuesday what is the total distance in miles kayuren during those two days first phone on Monday how much run that was 12 by 5 miles on Tuesday Shirin to 1 by 3 minus now this whole part and fractional part are written separately so this can be converted into a mixed fraction like when a number is of the form of p by see that is one whole number and fraction then it is written as a + b by c so we can write Monday that was 12 by 5 miles that is

12 by 1 + 2 by 5 that will be 5 will be LCM of 5 + 2 will be 7 by 5 MI and Tuesday it will be 21 by 3 that is 2 + 1 by 3 3 will be the LCM of 3 and 22 will be 6 plus one that is 7 by 3 minus in question is asked that what was the total distance kayar and thus during today's so Monday plus Tuesday will be the total total 27 by 5 + 7 by 3 that will be equal to LCM will be 15 this will be X 307 into 3 + 7 and 25 that

is 21 + 45 upon 15 that will be equal to 56 upon 15 Now since we have to give answer in mixed fraction in whole number and fraction this a bi bi can be divided into a whole number and fraction part when divided by be the remainder is remainder is written here b is written here and question is written here so 56 by 15 can be written as 15 and 23 is 45 three years question remainder will be 11:00 that is 56 - 45 and below will be the denominator will be 15 so this is our answer and the correct

The solution to the trigonometric equation is sin( 6x ) = 2sin(3x)cos(3x)

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the equation be represented as A

Now , the value of A is

A = sin (6x)

From the trigonometric relations ,

The value of sin( 2x ) = 2sin(x)cos(x)

Now , when x is replaced by 6x

Substituting the values in the equation , we get

sin ( 6x ) = 2 sin ( 6x/2 ) cos ( 6x/2 )

On simplifying the equation , we get

sin ( 6x ) = 2 sin ( 3x ) cos ( 3x )

So , the value of the trigonometric relation is

sin(6x) = 2sin(3x)cos(3x)

Hence , the equation is sin(6x) = 2sin(3x)cos(3x)

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Answer:

10

Step-by-step explanation:

12/2=6+4=10

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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Answer:

7, 2, -3, -8

Step-by-step explanation:

y = -5x + 2  Substitute in -1 for x

y = -5(-1) + 2

y = 5 + 2

y = 7

y = -5x + 2  Substitute in 0 for x

y = -5(0) + 2

y = 0 + 2

y = 2

y = -5 + 2 substitutes in 1 for x

y = -5(1) + 2

y = -5 + 2

y = -3

y = -5x + 2  Substitute in 2 for x

y = -5(2) + 2

y = -10 + 2

y = -8

Helping in the name of Jesus.

The length of leg is equal to 100 based on the length of hypotenuse and angle.

The length of leg will be calculated using Pythagoras theorem as the stated triangle is right angled triangle. Based on the theorem, se have side A is hypotenuse. So, sin theta = perpendicular/hypotenuse, where theta will be 90 degree and perpendicular is leg. Let us represent the leg as x.

sin 90 = x/ A

Keep the value of sin 90, which is 1

1 = x/100

Rearrange the equation in terms of x along with performing multiplication

x = 100

Hence, the length of leg is 100.

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Solution:

Given:

Answer:

26. $46.75

27. $4.80

28. $32.00

29. $3.60