Lorena paid $450 for a sneaker and there is a 9% advertised discount. What is the discount price?

Answer:

f'(x) = 2x - 20

Step-by-step explanation:

f(x) = 1/2 x + 10

Switch x and y.

y = 1/2 x + 10

Solve for y by itself.

x = 1/2 y + 10

x - 10 = 1/2 y

y = 2 * (x - 10)

f'(x) = 2x - 20

The probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.

To calculate the probability that the first two songs played are slow songs, we need to consider the total number of ways the first two songs can be selected and the number of ways to choose two slow songs out of the eight available.

Given:

Total number of songs = 10

Number of slow songs = 8

Step 1: Calculate the total number of ways to choose two songs out of ten (without replacement), which is represented by "10C2" (combinations of 10 things taken 2 at a time):

10C2 = (10 * 9) / (2 * 1) = 45

Step 2: Calculate the number of ways to choose two slow songs out of eight:

8C2 = (8 * 7) / (2 * 1) = 28

Step 3: Find the probability that the first two songs played are slow songs by dividing the number of favorable outcomes (choosing two slow songs) by the total number of possible outcomes (choosing any two songs from the CD):

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 28 / 45 ≈ 0.622

So, the probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.

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Answer:

Discus, Hurdles, Long jump, and 100m

Step-by-step explanation:

The volume of the water that was displaced will be 0.06 cubic feet.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

mass = density × volume

If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water.

Then the volume of the water that was displaced will be

We know that the density of the water is 62.4 pounds per cubic foot.

Then we have

3.7 = 62.4 × volume

Volume = 0.059

Volume ≅ 0.06 cubic-foot

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Answer:

then

x2-4x+3=x-5

or,x2-4x-x= -5-3

or,x2-5x+8=0

Answer:

h = 5 :)

Step-by-step explanation:

Nick has planted 20 flowers and can plant 7 flowers an hour, Rachel planted 5 flowers and can plant 10 flowers an hour.

f = 7h + 20

f = 10h + 5

f = 7(1) + 20 = 27

f = 10(1) + 5 = 15

(Not this one)

f = 7(2) + 20 = 34

f = 10(2) + 5 = 25

(nope..)

f = 7(3) + 20 = 41

f = 10(3) + 5 = 35

(nope!)

f = 7(4) + 20 = 48

f = 10(4) + 5 = 45

(close, but no)

f = 7(5) + 20 = 55

f = 10(5) + 5 = 55

(Yes!)

Answer:

x^2 + 11x + k = 0

(-4) ^2 + 11 (-4) + k = 0

16 - 44 + k = 0

-28 + k = 0

K = 28

Hope Helpful ~

Volume of a Rectangular Prism = length x width x height

Length = 4

Width = 2

Height = a

Volume = 7.2

7.2 = 4 x 2 x a

7.2 = 8 x a

a = 0.9

Answer: a = 0.9

Hope this helps!

Answer:

a = 0.9 cm

Step-by-step explanation:

Volume of a rectangular prism: L*W*H

Substitute the values above into the formula:

V = L*W*H

7.2 = 4*2*a

7.2 = 8a

/8     /8

0.9 = a

Therefore, the value of a is 0.9 cm.

Hope this helps!

Answer:

2x⁵ + x⁴ - x³ + 6x² + 3x - 3

Step-by-step explanation:

Given :

Finding (f × g)(x) :

Answer:

B

Step-by-step explanation:

surface area = area of base + area of lateral faces

Area of base:

A = lw

A = 4(4)

A = 16

Area of Lateral faces:

A = 1/2 bh

A = 1/2(5)(4)

A = 1/2(20)

A = 10

There are for lateral faces.

s = 16 + 10 + 10 + 10 + 10

Using a system of equations, it is found that they expect to sell 175 adult tickets and 350 student tickets.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

They expect that twice as many students as adults will attend, hence:

s = 2a.

Their goal is to earn $1,500 from ticket sales, hence:

10a + 5s = 1500.

10a + 5(2a) = 1500.

20a = 1500.

a = 1500/20.

a = 175.

s = 2a = 2 x 175 = 350.

They expect to sell 175 adult tickets and 350 student tickets.

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Answer:

1) As it is the coeficient of x² is 1, we need to find two numbers whose Sum S(x)=3 and the same numbers whose product is 2, P(x)= 2

S(x) = (  ) + (  ) =3

P(x) = (   )  *  (   ) =2

S(x) = ( 2 ) + ( 1 ) =3

P(x) = (  2 )  *  ( 1  ) =2

These numbers in bold will be coeficients of x.

Rewrite the Trinomial x²+ 3x +2 as x² +2x+1x+2

So x²+3x+2 =x²+2x+1x+2

x² +2x+x+2   Put the x in evidence

x(x+2)+1(x+2)  Find the Maximum Common Divider

(x+1)(x+2)

2) x²+x-6=0

Applying the same procedure. Which two integer number whose sum is 1 and whose Product is -6?

S(x) = ( 3  ) + ( -2  ) =1

P(x) = ( 3  )  * ( -2  ) =-6

Rewrite

x²+x-6

x²+3x-2x-6      Group them

x(x+3)-2(x+3)   Common Term

(x+3)(x-2)

3) Since the a coeficient is ≠ 1, a little adjustment must be made on our algorithm for -2x²+4x+30=0

Firstly multiply a*c, in this case -2 * 30 = -60

Which two numbers multiplied by themselves will turn out to be -60 and whose sum is -60? Since we're working with integers factoring out may be very helpful.

P(x)=  ( 10  )  *   ( - 6 )  = -60

S(x) = (  10 )  +  (  -6 )  = 4

Rewriting

-2x²+10x-6x+30   Group them

2x(x+5) -6(x+5)

(2x-6)(x+5)   Inserting the -1 to finally adjust

-1(2x-6)(x+5)

4) Explanation is the same principle as a≠1

3x²+4x-4=0

P(x) = ( 6  )  *  (-2  ) = -12

S(x) = (  6 ) +  ( -2  )  = 4

3x²+4x-4 = 3x²+6x-2x-4

3x²+6x -2x+4

3x(x+2)-2(x-2)

(3x-2)(x+2)

The other ones are just applications of these, above.

Step-by-step explanation:

Based on the alternate interior angles theorem, the value marked b is calculated as: 190°

The theorem states that two alternate interior angles are always congruent to each other.

The measure of angle b based on the alternate interior angles theorem would be:

m∠b = 50 + (320 - 180)

m∠b = 190°

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Answer:

[tex]3x^2y[/tex]

Step-by-step explanation:

The cube root of 27 is 3.

With indices, cube rooting them is the equivalent of multiplying by 1/3 so:

[tex]x^2y[/tex].

Put these 2 things together and you get:

[tex]3x^2y[/tex]

Answer:

This app is very good,it help us do our homework.and we make a good passed.

answer: 15

steps:

i means √-1

but in this problem treat

i like x

(7-i) + (5 + 3i) - (-3 + 2i) =

(7-i) + (5 + 3i) +3 - 2i

7-i + 5 + 3i +3 - 2i =

7-i + 5 + 3i +3 - 2i

7+5+3-i+3i-2i

7+5+3+2i-2i

7+5+3 =

15

Answer:

  33°

Step-by-step explanation:

Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.

__

Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:

  ∠UXW = 90° -57° = 33°

Answer:

You can't answer this because there isn't a regular x value, there is only a x squared

Step-by-step explanation:

[tex]~~~~~~x^2 +9 = 0\\\\\implies x^2 = -9\\\\\implies x = \pm\sqrt{-9}\\\\\implies x=\pm 3i\\\\\text{Which is not real, so the given expression can't be factored for} ~x \in \mathbb{R}.[/tex]

Answer:

y = -3/2x + 8

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

= 5-2 / 2-4

= -2/3

Y intercept is 8

Answer:

Part A : $6.23

Part B : $6.48

Step-by-step explanation:

Let's apply the Simple Interest Formula, which is :

Simple Interest = Principal Amount x Interest rate x Time Period

In one year :

In 2 years :

The midpoint approximation of the area under the curve f(x) = 2x(x-4)(x-8) over the interval [0, 4] with 4 subintervals is 132.

The value of f(1/2) will be:

= 2(1/2)(1/2 - 4)(1/2 - 8)

= 105/4

The value of f(3/2) will be:

= 2(3/2)(3/2 - 4)(3/2 - 8)

= 195/4

The value of f(5/2) will be:

= 2(5/2)(5/2 - 4)(5/2 - 8)

= 165/4

The value of f(7/2) will be:

= 2(7/2)(7/2 - 4(7/2 - 8)

= 63/4

Therefore, the midpoint approximation will be:

= 1/4(105 + 195 + 165 + 63)

= 132

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Answer:

hmmm the mass are the numbers of the up and volume of the bottom

Step-by-step explanation:

Answer:

only two brother ok bye

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

2x-2x-7=-7

We need to solve it first as follows:

[tex]2x-2x-7=-7[/tex]

[tex]2x-2x=-7+7[/tex]

[tex]0=0[/tex]

Since L.H.S. = R.H.S.

So, it satisfies the equation for all x.

So, there will be infinitely many solutions.

Hence, Option 'a' is correct.

Answer:

2 cups

Step-by-step explanation:

Formula: divide the volume value by 16

so its 32 divided by 16

nice. are they filament lightbulbs or fluorecent lightbulbs

Answer:

V = 2143.57

Step-by-step explanation:

To find the volume of a sphere you need to use this formula:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]

r = radius

Solve:

You need the radius from the diameter. Divide 16/2 which is

8.

[tex]V = \frac{4}{3}(3.14) 8^{3}[/tex]

V = 2143.57

Answer:

y = -2x

Step-by-step explanation:

From the figure, the given line passes through the points (0, 0) and (-4, 8).

Recall that the equation of a straight line is given by

Thus, the equation of the given figure is given by

-4y = 8x

Therefore, the answer is y = -2x.