Use DeMoivre's Theorem to find the following. Write your answer in
standard form.

Answer:

210.8

Step-by-step explanation:

Answer:

D) 4x2+4x=4

Step-by-step explanation:

3x2+x2=4x2

-x+5x=+4x

2-6=-4

Combine them for 4x2+4x-4

The correct expression will be 4x²+4x-4

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are two expression:- P = 3x²-x+2 and Q = x²+5x-6

On adding the given expressions, we get,

P+Q = 3x²-x+2+x²+5x-6

= 3x²+x²-x+5x+2-6

= 4x²+4x-4

Hence, P+Q = 4x²+4x-4

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Answer:

Heyyyy... Your ans!

Plz follow. Me..

Step-by-step explanation:

Answer:

Your answer is d=6b

Step-by-step explanation:

Answer:

Marilyn likes classical

Donna and Valr likes either pop or hiphop

The slope (change in y/change in x) of the line is (1560 - 1200)/(52 - 40), which is equal to 30. We can plug this into the equation y = mx + b using either the point (40, 1200) or (52, 1560). The slope is represented by m and the y - intercept by b. Therefore, the two possible equations you could use are:

1200 = 30(40) + b

or 1560 = 30(52) + b

Using either equation, you'll get that b is equal to 0, which makes sense in the context of the problem, since it's reasonable to expect that the labor expenses would be 0 for 0 hours worked.

Answer:

im pretty sure its C

Step-by-step explanation:

Hope this helped! :) Oh and I took the test on edge and got a good grade, but i didnt know if i got this right or wrong bc i couldnt look back at it

Answer:

answer is5th one

Step-by-step explanation:

5th one is the answers...its equal to the expression given

Answer:

32.137 cm squared **Answer varies on how you round for step 2**

Step-by-step explanation:

**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**

If the diameter is also 6 cm then the triangle would be isosceles .

1. Find the area of the triangle.

            Formula: (Base x Height) / 2

            = 6X6/2 = 18 cm squared

2. Find area of half-circle.

            Formula:  (πR^2)/2

            = (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared

3. Add the areas.

            18 + 14.137 = 32.137 cm squared.

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

Answer:

x=11.6

Step-by-step explanation:

Answer:

5x^4+ 2x^3+3x² – 3x + 2

Step-by-step explanation:

(5x^4+ 2x^3– 1)+(3x² – 3x + 3)

Combine like terms

5x^4+ 2x^3+3x² – 3x + 3– 1

The only like terms are the constants

5x^4+ 2x^3+3x² – 3x + 2

Answer:

5x^4 + 2x^3 -3x^2 - 3x + 2

Step-by-step explanation:

Expanding out the brackets:

5x^4 + 2x^3 - 1 + 3x^2 - 3x + 3.

Simplifying gives

5x^4 + 2x^3 - 3x^2 - 3x + 2

Remember you can only add x's together if they have the same power. This makes sense why you can 2 to -1 because they are both the same power of x, x^0. (which equals 1 by default)

Answer:r

Step-by-step explanation:

On isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.

The isolation of a variable is a process to take one variable on one side of the equation and everything else on the other side. This is done following a set of mathematical operations.

In the question, we are asked to solve for a, from the given equation:

M = 7a + 5ab.

To solve for a, we will isolate 'a' on one side of the equation, and on the other side, we will have the value of 'a'.

To isolate 'a', we will follow these steps:

M = 7a + 5ab

or, M = a(7 + 5b) ... (Taking a common between 7a and 5ab)

or, a(7 + 5b) = M ... (Changing the sides)

or, {a(7 + 5b)}/(7 + 5b) = M/(7 + 5b) ... (Dividing both sides by (7 + 5b))

or, a = M/(7 + 5b) ... (Simplifying)

Thus, on isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.

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Answer:

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Step-by-step explanation:

we will use the concept of triangle

1. sum of two sides of triangles is always greater than the third side

2. difference of trow sides of triangle  is always less than the third side.

Given two sides

23 and 44

let the third side b x

using first concept

sum of to sides = 23+44 = 67

thus,

x <67

using second concept

Difference of to sides = 44 - 23 = 21

thus,

x  > 21

Combining

x <67 and x  > 21

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Answer:

[tex]3^{14}[/tex]

Step-by-step explanation:

Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]

To simplify the expression, we apply the addition law of indices.

Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:

[tex]a^x \times a^y=a^{x+y}[/tex]

Therefore, since we have the number 3 as the same base in all the terms:

[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]

Answer:

80

Step-by-step explanation:

The median is the middle line of the box plot

Answer:

def 80

Step-by-step explanation:

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

Shape: Parallelogram PQRS

[tex]PQ = x^2 - 10[/tex]

[tex]SR = 3x[/tex]

Required

Find all possible values of x

Every parallelogram have parallel and equal opposite sides;

From the given parameters, one can easily deduce that PQ and SR are opposite sides;

This implies that

[tex]PQ = SR[/tex]

Substitute values of PQ and SR

[tex]x^2 - 10 = 3x[/tex]

Subtract 3x from both sides

[tex]x^2 - 10 -3x = 3x - 3x[/tex]

[tex]x^2 - 10 -3x = 0[/tex]

Rearrange

[tex]x^2 -3x- 10 = 0[/tex]

Now, we have a quadratic equation;

Expand the above expression

[tex]x^2 +2x-5x- 10 = 0[/tex]

Factorize

[tex]x(x+2)-5(x+2) = 0[/tex]

[tex](x-5)(x+2) = 0[/tex]

[tex]x - 5 = 0[/tex]   or    [tex]x + 2 = 0[/tex]

Solve for x in both cases

[tex]x = 5[/tex] or [tex]x = -2[/tex]

But x can't be negative;

So, the possible value of x is

[tex]x = 5[/tex]

Step-by-step explanation:

Hi!!

It's simple, you can do it easily.

no. of miles = 10 miles

time = 55 mins.

now,

no. of mins for 1 mile = no. of miles/ time

= 10 /55

=0.18181818 min.

so, she takes 0.181818 or 2/11 min per each mile.

Hope it helps...

Answer:

Step-by-step explanation:

[tex]4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

[tex]4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9[/tex]

Collect like terms

[tex]4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9[/tex]

[tex] {x}^{2} + 9x - 7 - 9[/tex]

Calculate

[tex] {x}^{2} + 9x - 16[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

B. 13

Step-by-step explanation:

Flower Power Day Number of Flowers median = 37

Rose in the Hand Day Number of Flowers median = 50

50 - 37 = 13

Answer:

24 ft.

Step-by-step explanation:

2x12=24

Answer:

[tex]\boxed{\mathrm{True}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2+3[/tex]

Put x = x -1

[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]

So, it is true.

Answer:

True

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We see that one corresponding angle and the hypotenuses of the right triangles are congruent so the answer is HA. (The H stands for hypotenuse and the A stands for angle.)

Answer:

[tex]\boxed{HA}[/tex]

Step-by-step explanation:

The theorem that verifies ΔHIJ ≅ ΔKLM is the HA (Hypotenuse-Angle Theorem) which shows that the hypotenuse and an acute angle are congruent to each other.

=> IJ ≅ LM (Hypotenuse)

=> ∠NIJ ≅ ∠KLM (Acute Angle)

Answer: 1 & 4

Step-by-step explanation:

Just did it

Answer:

A.The height of the new trapezoid will be 1 ft.

D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.

Step-by-step explanation:

edg2020

Answer:

32

Step-by-step explanation:

41+x=73

x=73-41

x=32

Answer:

A.) 24.08 seconds

B.) 825.42 metres

Step-by-step explanation:

function of time is given as

h ( t ) = − 4.9 t 2 + 118 t + 115 .

Where a = -4.9, b = 118, c = 115

Let's assume that the trajectory of the rocket is a perfect parabola.

The time t the rocket will reach its maximum height will be at the symmetry of the parabola.

t = -b/2a

Substitute b and a into the formula

t = -118/-2(4.9)

t = 118/9.8

t = 12.041 seconds

Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.

2t = 2 × 12.041 = 24.08 seconds

Therefore, the rocket splashes down after 24.08 seconds.

B.) At maximum height, time t = 12.041s

Substitute t for 12.041 in the function

h ( t ) = − 4.9 t 2 + 118 t + 115

h(t) = -4.9(12.041)^2 + 118(12.041) + 115

h(t) = -4.9(144.98) + 118(12.041) + 115

h(t) = -710.402 + 1420.82 + 115

h(t) = 825.42 metres

Therefore, the rocket get to the peak at 825.42 metres

Answer:

The number is 32.

The equation is 32 - 9 = 23.

Explanation:

The original number is 32, but when you subtract 9, the number changes to 23. So the digits reversed.

The required number is 32 and the equation is 10x+y.

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. To Find the number and the equation

In mathematics it deals with numbers of operations according to the statements.

Let the number at unit place is y and at tenth place is x so the number is
=10x+y
Now sum of the number is 5
x + y =5    -------(1)
When 9 is subtracted from the number, the digits will be reversed.
10x+y-9=10y+x
9x-9y=9
x-y=1    ------(2)

Solving equation 1 and 2
y = 2
x = 3
the number 10(3)+2 = 32

Thus, The required number is 32.the equation is 10x+y.

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Answer:

[tex]\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Masses Below 6: Histogram

Median Mass: Box Plot

Step-by-step explanation:

For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.

For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.

Brainilest Appreciated.

Answer:

C. outlier = 138

mean with outlier = 27.1

median with outlier = 11

mean without outlier = 8.7

median without outlier = 8

Step-by-step explanation:

Hey there!

Well if the outlier is 138 then we can cross out choices A and B.

So let's find the mean with and without the outlier.

With - 27.1

Without - 8.7

Median)

With - 11

Without - 8

By using this information we can conclude that the answer is C.

Hope this helps :)

Answer:

increase

Step-by-step explanation:

The rate at which you burn calories is called your metabolic rate. During exercise, you not only increase metabolism in your muscles but also in your respiratory and circulatory systems. You need a faster rate of breathing and heart rate to deliver oxygen and nutrients to your muscles.