Queen saved up $950 to buy her prom shoes. The Christian Louboutin heels she wants are on sale for 20% off the original price of $845. How much money does Queen have left over after she buys her heels for prom? (enter your answer in the space below)

The approximate value of the two decimal places is 3.14.

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

It is given that diameter = 2inches then radius =1

The formula for circumference of a circle with radius r is 2πr.

The formula for the area of a circle with radius r is πr²

where π≈3.14

So, the radius of our circle is;

6.28/2π

≈6.28/2×3.14=1

its area is πr²

≈3.14×1² = 3.14

Hence, the approximate value of the two decimal places is 3.14.

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This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.

The determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.

The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.

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Answer:

\(3\sqrt{9}\)

Step-by-step explanation:

\(\sqrt{ab}= \sqrt{a} *\sqrt{b}\\\\\sqrt{99}=\sqrt{9*11}\\\\=\sqrt{9}*\sqrt{11}\\=3\sqrt{11}\)

Find 57th term Given:

From the given sequence

There is a common difference of

Therefore, the common difference is 12

Hence, the sequence is an arithmetic sequence

The nth term of an arithmetic sequence is given as

Where

a = first term

d = common difference

n = number of terms

Hence,

Substituting these values gives

Solve the equation

Therefore, the 57th term is 621

Answer:

15

Step-by-step explanation:

4/5 = 12/blank.

well 12/4 is 3

3 * 5 is 15.

the blank is 15

Answer:

12/15

Step-by-step explanation:

4/5x3/3=12/15

since 12 is 3 times greater than 4, you must multiply both the numerator and the denominator by 3.

Answer:

n = 26/45

Step-by-step explanation:

If the 9⅓ and 27⅘ are supposed to be \(9^{1/3}\)  and \(27^{4/5}\), then

\(9^{1/3}\) × \(27^{n}\) = \(27^{4/5}\)

=> \((3^{2})^{1/3}\) × \((3^3)^{n}\) = \((3^3)^{4/5}\)

=> \(3^{2/3}\) × \(3^{3n}\) = \(3^{12/5}\)

=> \(3^{3n+\frac{2}{3}}\) = \(3^{12/5}\)

=> 3n+2/3 = 12/5

=> 45n + 10 = 36

=> 45n = 26

=> n = 26/45

Answer:

1/2

Step-by-step explanation:

hope this helps and have a nice day!

keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.

Up until he received an 8% cost of living boost from Mr. Peterson, his pay was $59.166.

Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Mr. Peterson received an 8% cost-of-living rise, increasing his weekly compensation to $739.58.

salary now =  $739.58 * 8/100

= $ 59.166

Up until he received an 8% cost of living boost from Mr. Peterson, his pay was $59.166.

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or, 2x = x+8

or, 2x - x = 8

or, x = 8

if you do the math you will find it easily i am like 6th grade math levle and this is to ez:/

The answer is in the image below ↓

Hope this helps! :)

Answer:

The slope of the line is 10

Step-by-step explanation:

To find the slope, simply identify 2 points on the line. I chose: (1,10) and (2,20)

20-10=10

2-1=1

The slope of the line is 10

To check this answer, just multiply X with 10 and you will always get Y!

Answer:

21x

Step-by-step explanation:

7x is one term. With parenthesis, you have to multiply whatever is on the outside, inside. So that's 3*7x, or 21x.

Hope this helps!

Hey there!

3(7x)

= 3 * 7x

= 7x * 3

= 7x + 7x + 7x

= 14x + 7x

= 21x

Therefore, the answer should be: 21x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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The quadratic regression function f(x) = -0.1536x² + 3.3915x + 88.738, then estimate value for the number of people in the park when there are 80 birds is equals to the 24.

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. An equation of the form, y = ax² + bx + c where a≠0. We have a quadratic regression function is defined by f(x) = -0.1536x² + 3.3915x +88.738 --(1), where, f(x) = the number of birds in a park relative to the number of people x in the same park. We have to determine quadratic regression to estimate the number of people in the park when there are 80 birds. Now, f(x) = 80, substitute the known value in equation (1),

=> 80 = -0.1536x² + 3.3915x +88.738

=>0.1536x²- 3.3915x -88.738 + 80 = 0

=> 0.1536x²- 3.3915x - 8.738 = 0

=> x² - 22.08x - 56.88 = 0 --(2)

Using the quadratic formula for solution of (2), x = (-b ±√b² - 4ac)/2a, for ax² + bx + c = 0. So, \(x =\frac{ -(-22.08) ± \sqrt{(22.08)² + 4× 56.88}}{2}\)

=> x = 24.41 or - 2.3331

but number of people can't be negative hence, the required value is 24.41 ~ 24.

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Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

SOLUTION

The polygons are enclosed together to form a triangle.

To know if the triangle are similar, we use the ratio of the sides,

Using the Sides-Sides-Sides(SSS) rule which states that two triangles are similar if all the corresponding three sides of the given triangles are in the same proportion.

From triangle EFG, we have

Considering the triangle JLR, we have

Comparing the ratio of the sides,

we have

Since the sides are in the same proportion,

Hence

The polygons are similar

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

\(y=A\sin\left(B(x-C)\right)\)

Amplitude: \(|A|\)

Period: \(\frac{2\pi}{B}\)

Phase Shift:  C

In this question, \(A=4,\,B=2,\,C=\frac{3\pi}{4}\)

Amplitude: 4

Period: \(\frac{2\pi}{2}=\pi\)

Phase Shift: \(\frac{3\pi}{4}\)

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

Answer:

13 ft

Step-by-step explanation:

Perimeter is 48 so all four sides add to 48

You know width is 11 so 2x11 is 22.

Subtract the width from the total 48-22=26

Then because you are missing 2 sides divide the answer by 2.

26/2=13

Answer:

18 11/15

Step-by-step explanation:

This is the answer because:

1) First, find the common denominator: 12 1/3 = 12 5/15 and 6 2/5 = 6 6/15

2) Then add the fractions: 12 5/15 + 6 6/15 = 18 11/15

3) 18 11/15 is reduced to the lowest terms because 11 is a prime number.

Therefore, 18 11/15 is the answer.

Hope this helps! :)

Answer:

52.7

Step-by-step explanation:

121/3= 40.33

62/5= 12.4

40.3+12.4=52.7

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Answer:-5

Step-by-step explanation:

IF X=-3,

THEN WE'LL WRITE -3 INSTEAD OF EVERY X;

-9+9-5=-5

Answer:

Simplifying

6x + 32 = 180

Reorder the terms:

32 + 6x = 180

Solving

32 + 6x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32' to each side of the equation.

32 + -32 + 6x = 180 + -32

Combine like terms: 32 + -32 = 0

0 + 6x = 180 + -32

6x = 180 + -32

Combine like terms: 180 + -32 = 148

6x = 148

Divide each side by '6'.

x = 24.66666667

Simplifying

x = 24.66666667

6x + 32> -4

6x > -4 - 32

6x > -36

x > -6

Answer:

The circumference is 44 in.

Step-by-step explanation:

C = 2πr        Use this equation to find the circumference

C = 2π(7)     Multiply

C = 14π        Multiply

C = 43.98 ≈ 44 in

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Re-writing question 5:

5. Determine if the statement below is true or false. If it is false, rewrite it so it is true. Rewriting √-10 in terms of i results in −10i.

A. This statement is true.

B. This statement is false. Rewriting √-10 in terms of i results in (√10)i.

C. This statement is false. Rewriting √-10 in terms of i results in −10√i.

D. This statement is false. Rewriting √-10 in terms of i results in 10√i.

Answer:

1) C. an imaginary number

2) A. In order for a + bi to be a complex number, b must be nonzero

3) 4

4) -6

5) B. The statement is false. Rewriting √-10 in terms of i results in (√10)i

Step-by-step explanation:

1. When a number can be expressed in the form a+bi where a and b are real numbers, then the number is said to be a complex number.

For example, the following are complex numbers where i = √-1 ;

i. 3 + 5i

ii. 4 - 7i

iii. -3 - 9i

Well, even real numbers are a subset of complex numbers. For example,

=> 5 can be written as 5 + 0i

=> -12 can be written as -12 + 0i

-- But when a and b are non-zero real numbers or at least b is a non-zero real number, then the number is said to be an imaginary number.

-- If a is zero, then the number is a purely imaginary number

-- If b is zero, then the number is a purely real number

2. For a number to be called a complex number;

i. it can be written in the form a + bi where a and b are real numbers,

ii. either a or b, or both, may be zero,

iii. a is the real part of the complex number,

iv. b is the imaginary part of the complex number.

v. it could also be a real number since every real number is also a complex number.

3. Given 4 - 5i

The real part is 4

and the imaginary part is -5

4. Given 7 - 6i

The real part is 7

and the imaginary part is -6

5. Rewrite √-10 in terms of i

Remember that i = √-1

Therefore,

√-10 = √(-1 x 10) = √-1 x √10

=> √-10 = √-1 x √10

=> √-10 = i x √10

=> √-10  = (√10)i

Answer:

Step-by-step explanation:

Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4

Answer:

Step-by-step explanation:

4x-2x=7+1 2x=8 x=4.

The perimeter of a rectangle is the sum of all four sides of the rectangle is 32.4g + (-2k).

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The perimeter of a rectangle is the sum of all four sides of the rectangle is 32.4g + (-2k).

In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.The perimeter of a shape is defined as the total distance around the shape.

It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions. For example, imagine a triangle made of a wire of length L. The same wire can be reused to make a square, considering that all the sides are equal in length. Look at the image below showing the perimeter of a rectangular park.

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