57, 59, 64, 72, 76, 77, 77, 78, 85, 87, 88, 88, 88, 92, 94, 96, 98, 100
Find the Median of the data set

I need this answer too, did you figure it out?

Answer:

The Correct option is

A) Additive Inverse Property .

Step-by-step explanation:

Identity Property of Addition :

In math, an identity is a number, n, that when added to other numbers, gives the same number, n.

The additive identity is always zero.

This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself.

Statement                                      Reasons

1. -(a+b)+a = -a+(-b)+a                   1.Distributive Property

                = -a+a+(-b)                    2.Commutative Property of Addition

                = 0+(-b)                         3. Additive Inverse Property

                = -b                               4. Identity Property of Addition

Answer:

saving amount=$38.7

Step-by-step explanation:

given cost price=$86

discount on black friday=45%

selling price=cost price(1-discount%)

selling price=86(1-[tex]\frac{45}{100}[/tex])

selling price=86([tex]\frac{55}{100}[/tex])

selling price=$47.3

saving amount=$86-$47.3=$38.7

saving amount=$38.7 answer

To find the savings on the shoes, multiply the original price by 45% to find the discount amount, then subtract it from the original price. The savings amount to $38.70.

You want to know how much you will save on a new pair of shoes that costs $86 if they are discounted by 45% on Black Friday. To calculate the savings, you need to calculate 45% of the original price and then subtract that amount from the original price.

Step-by-Step Calculation:

Calculate 45% of $86: (0.45 × $86 = $38.70).

Subtract the discount from the original price: ($86 - $38.70 = $47.30).

Therefore, if you wait until Black Friday, you will save $38.70 on the shoes.

Answer:

$25 - c(p)

Step-by-step explanation:

C = amount of comic books

P = price of comic books

$25 - c(p)

Hope this helps :)

Answer:

depends on the price of each book

Step-by-step explanation:

For instance if you have ...

one book sold for $5

you divide the total ($25) by the cost  for each book ($5) and you will get the number of comic books (25/5 = 5 comic books)

Answer:

B

Step-by-step explanation:

Answer:

91 1/4%

Step-by-step explanation:

To find the percentage of the discount, just divide the new selling price cost from the previous selling price over 100

73/80*100 = 91 1/4%

Answer:

The options 3, 4, and 5 are functions.

Step-by-step explanation:

If there is more than one value of y for a given single value of x then this is called a relation but not a function.

That geometrically means that if you can draw a vertical line that intersects the graph that is plotted from the given points that intersect the graph at more than one point then this graph is called a relation and not a function.

Here, in option one the points on the graph are given to be (6,-6), (-3,12), (6,-1) and (-8,13), which is not a function as there are two values of y for x = 6.

Now, in option two the points on the graph are given to be (0,0.5), (2,1), (1,2.5) and (0,2), which is also not a function as there are two values of y for x = 0.

Now, in option three the points on the graph are given to be (8,7), (7,8), (6,5) and (5,6). this can be a function.

Now, in option four the points on the graph are given to be (-2,7), (-3,9), (-5,9) and (-8,11). this can be a function.

Finally, in option five the points on the graph are given to be (-3,0), (-5,8), (-7,8) and (-9,0). this can be a function. (Answer)

Answer:

[tex]3.5 - 1.4 + 2.9 \\ = 5[/tex]

hope this helps you

Answer:

3.5 - 1.4 + 2.9 = 5

Step-by-step explanation:

 3. 5 - 1.4 + 2.9

At first, we will add 3.5 and 2.9 and then we will subtract 1.4 from the sum of 3.5 and 2.9.

So, 3.5 - 1.4 + 2.9

= (3.5 + 2.9) - 1.4

= 6.4 - 1.4

= 5

So, the value of 3.5 - 1.4 + 2.9 is 5.

Answer:

[tex]2\sqrt{2}\ units[/tex]

Step-by-step explanation:

we know that

In a 45-45-90 right triangle, the length of the two legs are equal

so

Applying the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

where

c is the hypotenuse

a and b are the legs

we have

[tex]a=2\ units\\b=2\ units[/tex]

substitute

[tex]c^2=2^2+2^2[/tex]

[tex]c^2=4+4[/tex]

[tex]c^2=8[/tex]

[tex]c=\sqrt{8}\ units[/tex]

simplify

[tex]c=2\sqrt{2}\ units[/tex]

Step-by-step explanation:

This is most easily solved by writing the factored form:

[tex]f(x) = (x + 9)(x + 1)[/tex]

Notice how, if we were to substitute -9 for x, the left part would be -9 + 9 = 0. Since (x + 1) × 0 = 0, this makes the function 0. The same logic applies for the right part.

Final answer:

A quadratic function with zeros at -9 and -1 can be written as f(x) = (x + 9)(x + 1) or f(x) = x^2 + 10x + 9 when expanded.

Explanation:

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical phrase or statement. Expressions can consist of variables, constants, arithmetic operations (such as addition, subtraction, multiplication, and division), exponents, and functions.

To write a quadratic function f with zeros at -9 and -1, we use the fact that a quadratic function f(x) can be represented in the form f(x) = a(x - r1)(x - r2), where r1 and r2 are the zeros of the function and a is a nonzero coefficient. In this case, our zeros are -9 and -1, giving us f(x) = a(x + 9)(x + 1). To keep the function in simplest form, we can choose a = 1, which gives us the quadratic function f(x) = (x + 9)(x + 1) or f(x) = x2 + 10x + 9 after expanding the expression.

Final answer:

A quadratic function with zeros at -9 and -1 can be written as f(x) = (x + 9)(x + 1) or f(x) = x^2 + 10x + 9 when expanded.

Explanation:

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical phrase or statement. Expressions can consist of variables, constants, arithmetic operations (such as addition, subtraction, multiplication, and division), exponents, and functions.

To write a quadratic function f with zeros at -9 and -1, we use the fact that a quadratic function f(x) can be represented in the form f(x) = a(x - r1)(x - r2), where r1 and r2 are the zeros of the function and a is a nonzero coefficient. In this case, our zeros are -9 and -1, giving us f(x) = a(x + 9)(x + 1). To keep the function in simplest form, we can choose a = 1, which gives us the quadratic function f(x) = (x + 9)(x + 1) or f(x) = x2 + 10x + 9 after expanding the expression.

Answer:

He will earn 45.50 in five hours.

Step-by-step explanation:

Answer:

45.5

Step-by-step explanation:

9.10*5

The value of x is 4.

Step-by-step explanation:

Consider a Rectangle ABCD

AB as Top

CD as Bottom

AB = -1 + 4x

CD = 3x + 3

To Find:

x = ?

Solution:

In a Rectangle ABCD

Opposite sides of rectangle congruent,

AB = CD

Top = Bottom

on substituting we get

[tex]-1+4x=3x+3\\\\4x-3x=3+1\\\\x=4\\\therefore x =4[/tex]

The value of x is 4.

(1, 12)

(420, 12)

Any coordinate with a y value of 12 lies on the line y = 12.

-----

(-5, 69)

(-5, 13)

Any coordinate with an x value of -5 lies on the line x = -5.

-----

Since the equation must be perpendicular to the line x = 4, which is a vertical line, it must also be written in the form x = a.

Since the x coordinate is 3, the equation of the line is simply x = 3.

Answer:

n = 1

Step-by-step explanation:

First, rearrange the equation to standard form 0 = ax² + bx + c, when everything equals 0.

5n² = 5

5n² - 5 = 0

State the variables a, b and c.

a = 5;  b = 0;  c = -5

Substitute a, b, and c into the quadratic formula.

[tex]n = \frac{-b ±\sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]n = \frac{-0 ±\sqrt{0^{2}-4(5)(-5)} }{2(5)}[/tex]   Substitute

[tex]n = \frac{\sqrt{100} }{10}[/tex]   Simplify inside the √ and bottom

[tex]n = \frac{10}{10}[/tex]  Simplify the top

[tex]n = 1[/tex]  Final answer

Therefore the solution is n = 1.

The quadratic formula usually is written with x, but it can be solved with any variable in standard form.

The total amount paid for vase is $ 41

Solution:

Given that

Cost of vase = $ 34.99

Shipping charge = 3 dollars

Sales tax = 8.25 % was paid on the subtotal which included the shipping charge

To find: total amount paid for vase

total amount paid for vase = Cost of vase + Shipping charge + sales tax

Let us first find the sales tax

Given that 8.25 % was paid on the subtotal which included the shipping charge

Subtotal = 34.99 + 3 = 37.99

So 8.25 % of 37.99 was paid as sales tax

[tex]\text{ sales tax } = \frac{8.25}{100} \times 37.99 = 3.1341[/tex]

Therefore sales tax amount paid = $ 3.1341

total amount paid for vase = Cost of vase + Shipping charge + sales tax

total amount paid for vase = 34.99 + 3 + 3.1341 = 41.1241 ≈ 41

Therefore total amount paid for vase is $ 41

Answer:

Kenja could travel a certain number of miles in 1 hour depending the speedometer. So, it is not necessary that she may always take the same number of hours it takes to travel 1 mile.

For example, If Kenja has traveled 120 miles in three hours. It means it would take 5 hours to travel 200 miles. The reason is that her unit rate is 40 miles per hour. So, it would take her 1/40 hours to travel one mile.

Step-by-step explanation:

Kenja could travel a certain number of miles in 1 hour depending the speedometer.

If she is traveling at the rate of 5 miles per hour, it would take her 12 minutes to travel one mile. The only way she can take the same number of hours to travel 1 miles if she travels at the rate of 1 mile per hour.

For example, if Kenja has traveled 120 miles in three hours. It means it would take 5 hours to travel 200 miles. The reason is that her unit rate is 40 miles per hour.

As

[tex]\frac{120}{3} = 40 mph[/tex]  

So, if the unit rate is 40 mph, then it would take her 1/40 hours to travel one mile.

So, it is not necessary that she may always take the same number of hours it takes to travel 1 mile.

Keywords: miles per hour, speed, unit time

Learn more speed calculation from brainly.com/question/2583051

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Answer:

Slant height (s)= 12.1 cm

Step-by-step explanation:

Given: Base= 4.5 cm.

           Surface area of right square pyramid= 129.5 cm.

First, calculating slant height (s) of right square pyramid.

Surface area of square pyramid= [tex](a^{2} +2\times a\times s)[/tex]

a= side of square base.

s= slant height

∴ [tex]129.5= (4.5^{2} + 2\times 4.5\times s)[/tex]

⇒ [tex]129.5= (20.25+2\times 4.5\times s)[/tex]

⇒ [tex]129.5= (20.25+9\times s)[/tex]

Now, opening the parenthesis and subtracting both side by 20.25.

⇒ [tex]109.25=9\times s[/tex]

cross multiplying both side

∴ Slant height (s)= 12.1

Final answer:

To find the slant height of the right square pyramid, subtract the base area from the total surface area, divide by four to find the area of one triangular side, and then solve for the slant height using the triangle area formula. The calculated slant height is = 12.1 cm

Explanation:

The student is asking how to find the slant height of a right square pyramid when given the surface area and the base length. To solve this, we need to take into account the formula for the total surface area of a right square pyramid, which is the sum of the base area and the area of the four triangles forming the sides. We know the total surface area is 129.5 cm2 and the base length is 4.5 cm. The area of the base is simply the square of the base length since it's a square base.

Base area = base length2 = (4.5 cm)2 = 20.25 cm2

Total area of four triangular sides = 129.5 cm2 (total surface area) - 20.25 cm2 (base area) = 109.25 cm2

Area of one triangular side = 109.25 cm2 / 4 = 27.3125 cm2

Now, using the formula for the area of a triangle, A = 1/2 × base × height, we can substitute the area of one triangular side and the base length to solve for the slant height:

27.3125 cm2 = 1/2 × 4.5 cm × slant height (s)

Slant height (s) = (2 × 27.3125 cm2) / 4.5 cm = 12.139 cm

Rounded slant height = 12.1 cm

Answer:

x:3

Step-by-step explanation:

Answer:

They will work together and print 200 T-shirts in 37.5 minutes.

Step-by-step explanation:

One machine can print 200 T-shirts in 50 minutes.

So, in one minute that machine can print [tex]\frac{200}{50} = 4[/tex] T-shirts.

Again, the other machine can print 200 T-shirts in 150 minutes.

So, in one minute the other machine can print [tex]\frac{200}{150} = 1.33[/tex] T-shirts.

Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.

Hence, they will work together and print 200 T-shirts in [tex]\frac{200}{5.33} = 37.5[/tex] minutes. (Answer)

Answer:

First option is correct.

[tex]\sqrt[10]{4}[/tex]

Step-by-step explanation:

Given:

The given expression is [tex](4^{\frac{2}{5}})^{\frac{1}{4}}[/tex]

We write the given expression with a rational exponent as a radical expression such as.

[tex]=(4^{\frac{2}{5}})^{\frac{1}{4}}[/tex]

Simplify the above equation by multiplication of powers.

[tex]=(4^{\frac{2}{5}\times \frac{1}{4}})[/tex]

[tex]=(4^{\frac{1}{5}\times \frac{1}{2}})[/tex]

[tex]=(4^{\frac{1}{5\times 2}})[/tex]

[tex]=(4^{\frac{1}{10}})[/tex]

[tex]=\sqrt[10]{4}[/tex]

Therefore, The answer is [tex]=\sqrt[10]{4}[/tex].

The standard form is [tex]7x^7 + 6x^5 -3x^3 + 8x[/tex]

Solution:

Given that we have to write the given equation in standard form,

[tex]6x^5 + 8x - 3x^3 + 7x^7[/tex]

In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write

The terms are ordered from biggest exponent to lowest exponent

In the given equation,

[tex]6x^5 + 8x - 3x^3 + 7x^7[/tex]

7 is the highest exponent. So we write the standard form as,

[tex]7x^7 + 6x^5 -3x^3 + 8x[/tex]

Thus the terms are arranged from highest exponent to lowest exponent

The  standard form of the polynomial in 6x^5 + 8x-3x^3+7x^7 is

7x^7 +6x^5+ 8x-3x^3 ].

Polynomials can simply be explained as expressions of algebraic inclinations that bear variables and coefficients.

When polynomials are expressed in a way where the term with the highest degree is written first, the polynomial is said to be in its standard form.

Therefore, 7x^7 +6x^5+ 8x-3x^3 is the  standard form

More on Polynomial

https://brainly.com/question/17822016

Answer:

Choosing a 6 and then a prime number: 2/21

Choosing two odd numbers: 2/7

Step-by-step explanation:

Choosing a 6 and then a prime number:

The probability of choosing 6 out of 1, 2, 3, 4, 5, 6 and 7 is one event divided by number of total events (which is equal to 7). That results in 1/7. Once 6 is chosen, the probability of choosing a prime number (prime number is a number that can only be divided by 1 and itself) out of 1, 2, 3, 4, 5 and 7 is 4/6 (prime numbers are 2, 3, 5, 7 in total there are 4 number and total number of events are 6). Finally, the probability of choosing a 6 and then a prime number is (1/7)*(4/6)=2/21.

Choosing two odd numbers:

The probability of choosing 1st odd number is 4/7 (number of odd numbers is 4 which includes 1, 3, 5, 7 and the number of total events is 7). Once 1st odd number is chosen, the probability of choosing 2nd odd number is 3/6 (number of odd numbers is 3 - because 1 odd number is already chosen and the number of total events is 6). Finally, the probability of choosing two odd numbers in a sequence is (4/7)*(3/6)=2/7.

Answer: 10 three points questions and 14 five points questions

Step-by-step explanation: Please see attachment for explanation.

Answer:

Therefore the Minimum value of f(x) is 2.

Step-by-step explanation:

Given:

[tex]f(x)=x^{2} + 6x+11[/tex]

To Find:

minimum or maximum value of f(x)

Solution:

To find minimum or maximum value of f(x)

Step 1 . Find f'(x) and f"(x)

[tex]f(x)=x^{2} + 6x+11[/tex]

Applying Derivative on both the side we get

[tex]f'(x)=\dfrac{d(x^{2})}{dx}+\dfrac{d(6x)}{dx}+\dfrac{d(11)}{dx}[/tex]

[tex]f'(x)=2x+6+0[/tex]

Again Applying Derivative on both the side we get

[tex]f''(x)=\dfrac{d(2x)}{dx}+\dfrac{d(6)}{dx}[/tex]

[tex]f''(x)=2[/tex]

Step 2. For Maximum or Minimum f'(x) = 0 to find 'x'

[tex]2x+6=0\\\\2x=-6\\\\x=\dfrac{-6}{2}=-3[/tex]

Step 3. IF f"(x) > 0 then f(x) is f(x) is Minimum at x

            IFf"(x) < 0 then f(x) is f(x) is Maximum at x

Step 4. We have

[tex]f''(x)=2[/tex]

Which is grater than zero

then f(x) is Minimum at x= -3

Therefore the Minimum value of f(x) is 2.

The minimum value is 2 when x = -3.

The minimum or maximum value of the function f(x) = x^2 + 6x +11, we need to complete the square or use the vertex formula for a quadratic function.

The function is a parabola that opens upwards (since the coefficient of the x2 term is positive). To complete the square, we group the x-terms and add and subtract the square of half the coefficient of x:

f(x) = (x^2 + 6x + 9) + 11 - 9

f(x) = (x + 3)^2 + 2

The minimum value of this parabola occurs at the vertex, which is (-3, 2).

Answer:

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Using notation as in Fig. 1, the law of cosines states where γ denotes the angle contained between sides of lengths a and b and opposite the side of length c.

Step-by-step explanation:

Answer:

X = 117.9°

Step-by-step explanation:

Rearranging the cosine rule to obtain C

cosC = [tex]\frac{a^2+b^2-c^2}{2ab}[/tex]

Here C = X, a = 50, b = 55, c = 90

cosX = [tex]\frac{50^2+55^2-90^2}{2(50)(55)}[/tex]

        = [tex]\frac{2500+3025-8100}{5500}[/tex]

        = [tex]\frac{-2575}{5500}[/tex], thus

X = [tex]cos^{-1}[/tex]( - [tex]\frac{2575}{5500}[/tex] ≈ 117.9°

Answer:

lol

Step-by-step explanation:

Final answer:

The variable x represents the unknown number, and the inequality is 4x - 6 < -2. Solving it step-by-step, we find that x < 1, which means any number less than 1 satisfies the inequality.

Explanation:

To solve the inequality 'four times a number decreased by 6 is less than -2', let's define a variable x as the number. Expressing the given condition as an inequality, we get 4x - 6 < -2. To solve for x, follow these steps:

Add 6 to both sides of the inequality to isolate the term with the variable: 4x - 6 + 6 < -2 + 6, which simplifies to 4x < 4.

Divide both sides of the inequality by 4 to solve for x: 4x/4 < 4/4, which gives us x < 1.

Check the answer to ensure it is reasonable. Since multiplying a number by four and subtracting six should result in a number less than -2, a number less than 1 seems reasonable.

Therefore, any number less than 1 satisfies the inequality.

20 times 4 add 5 is

20*4+5

20*4=80

80+5=85

85 is your answer

Answer: 85.

Step-by-step explanation: 20 times 4 equals 80, add 5 to that makes 85.

And the equation in mathematical form: ( 20 X 4 ) = 80 + 5 = 85.

Hope this helps, if not, comment below please!!!!!