There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them bought 2 binders and 5 notebooks. The students have a total of $420 to spend. Part A:

If the unit price of a notebook in Store A is $1. 50, what is the unit price of a binder?

Answer:

3.987923694

Step-by-step explanation:

Quadratic formula and plug in the numbers:

T = (-45 +-(sqrt(2025+4800)))/-32

the object will be at a height of 0 feet  0.97 seconds and 4.53 seconds after it is propelled.

h(t) = -16t² + 45t + 75

-16t² + 45t + 75 = 0

using the quadratic formula:

t = (-b ± √(b² - 4ac)) / (2a)

a = -16, b = 45, and c = 75.

We then Substitute these values into the quadratic equation

t = (-(45) ± √((45)² - 4(-16)(75))) / (2(-16)

t = (-45 ± √(2025 + 4800)) / (-32)

t = (-45 ± √6825) / (-32)

We find the value of t using both the positive and negative square root:

t₁ = (-45 + √6825) / (-32)

t₂ = (-45 - √6825) / (-32)

t₁ =0.97 seconds

t₂=  4.53 seconds

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Answer:

10n^2 + 2n + 16

Step-by-step explanation:

Rectangles have the same length and same width. So we can deduce that the top side is 5n^2 - 1, and the left side is n + 9.

Now all we need to do is add all 4 sides up:

(5n^2 - 1) + (5n^2 - 1) + (n + 9) + (n + 9)

or

2(5n^2 - 1) + 2(n + 9)

= 10n^2 - 2 + 2n + 18

= 10n^2 + 2n + 16

Answer:

m = -4

point = (-3,2)

Step-by-step explanation:

this is point slope form. y-y1=m (x-x1)

you can find the points from this and the slope. point = (x1,y1)

I'm absolutely certain that the answer is 2. (0,-4), (5,3), (-4,3), (3,2) because in a function, x does not repeat

I hope this helps, love!

Answer:

ummm maybe because you used [ instead of ( ?

Step-by-step explanation:

i feel like yours should be correct though since its including -3

Answer:B

Step-by-step explanation:

Answer:

someone pls correct me if im wrong but your supposed to do L x W x H

Step-by-step explanation:

so you would do 5x6x8

not sure if that is right or not that what we did in class hope that helps =)

Answer:240

Step-by-step explanation:

5*6*8=240

Answer: 2

Step-by-step explanation:

y2 - y1/ x2 -x1 = Slope

-9-3/0-6

-12/-6

x = 2

Answer:

0? and 14?

Step-by-step explanation:

thats what I see im so sorry if im wrong

10 - x ≤ 35

- x ≤ 35 - 10

- x ≤ 25

x ≥ - 25

true

The total amount accrued, principal plus interest, with compound interest on a principal of $4,000.00 at a rate of 2.48% per year compounded 4 times per year over 1 years is $4,100.13.

Given Data

A = P + I where

P (principal) = $4,000.00

I (interest) = $100.13

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.48/100

r = 0.0248 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 4,000.00(1 + 0.0248/4)^(4)(1)

A = 4,000.00(1 + 0.0062)^(4)

A = $4,100.13

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Step-by-step explanation:

Hey there!

3x + (4x+5)° = 180° {sum of co-interior angle 180°}

7x= 180°-5°

7x= 175°

[tex]x = \frac{175}{7} [/tex]

Therefore, X= 25°.

Hope it helps...

Answer:

AC=16

Step-by-step explanation:

6x+2=5x+3

6x-5x=3-2

X=1

——-

6(1)+2+5(1)+3=16

Answer:

  x = -8

Step-by-step explanation:

The sum of arcs of a semicircle is 180°. That means the arc whose measure is -11x+12 has a measure of 180° -80° = 100°.

  -11x +12 = 100

  -11x = 88 . . . . . . subtract 12

  x = -8 . . . . . . . divide by -11

7a)

[tex]\frac{n(n - 3)}{2} = 665\\n(n - 3) = 665 \cdot 2\\n(n - 3) = 1330\\n^2 - 3n = 1330\\n^2 - 3n - 1330 = 0\\n = \frac{-(-3) \pm \sqrt{(-3)^2 - 4 \cdot 1 \cdot (-1330)}}{2 \cdot 1} = \frac{3 \pm \sqrt{9 + 5320}}{2} = \frac{3 \pm \sqrt{5329}}{2} = \frac{3 \pm 73}{2}\\n_1 = \frac{3 + 73}{2} = \frac{76}{2} = 38\\n_2 = \frac{3 - 73}{2} = \frac{-70}{2} = -35[/tex]

If n is the amount of sides then there's 38 sides in a polygon with 665 diagonals

7b)

We do the same as 7a) but with 406. We get that [tex]n_1 = 30.04[/tex] and [tex]n_2 = -27.04[/tex]. A polygon cant have 30.04 sides

Answer: A. 38 sides

B. When solved, you get -27.04 sides or 30.04 sides. Neither of these are possible because the number of sides cannot be negative or a decimal.

Step-by-step explanation: Part A:

If the polygon has 665 diagonals, set your original n-sided polygon equal to it.

n(n - 3)/2 = 665

Multiply both sides by 2 so it’s not in the denominator.

n(n - 3) = 1330

Distribute n and subtract 1330 from both sides so it is equal to zero.

n² - 3n - 1330 = 0

Factor it:

(n - 38)(n * 35) = 0

Solve for n by setting it equal to zero:

n = 38 & n = -35

The number of sides cannot be negative, therefore, the answer to Part A is 38 sides.

Part B:

Set your original n-sided polygon equal to 406 and solve to prove that a polygon cannot have 406 diagonals.

n(n - 3)/2 = 406

Multiply both sides by 2 so it’s not in the denominator.

n(n - 3) = 812

Distribute n and subtract 812 from both sides so that it is equal to zero.

n² - 3n - 812 = 0

This cannot be factored, so plug it into the Quadratic Formula. Here are the values you need for the Quadratic Formula based on the polynomial above:

a = 1

b = -3

c = -812

When you solve this, you will get:

n = -27.04 and n = 30.04

A polygon cannot have negative sides and it cannot have decimal sides. It has to be a positive integer (positive whole number).

Answer: B 10  miles in 1/5 hour

Step-by-step explanation:

Answer:

f(0) = 4

Step-by-step explanation:

just trust me on this one

Answer:

a on edge.

Step-by-step explanation:

f(0) = 4

Answer:

753.98224

Step-by-step explanation:

v=pie r^2 h/3=piex6^2x20/3=753.98224

Answer:

Step-by-step explanation:

Given

Functions f(x) and g(x) = k⋅f(x)

Answer:

third one

Step-by-step explanation:

Answer:We are asked to evaluate Marlena's solution in solving the expression below: 2x+5 = -10 -x

The first step is to re-write the expression and transpose same terms in the left side while all numbers are transferred to the right side such as shown below:

Step 0: 2x+5 = -10 -x

Step 1: 2x + x = -10 -5

Step 2: 3x = -15

Step 3: x =-15/3

The answer is x=-5.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

The test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test

When we want to find out from the sample if the unknown population mean is different from some specific value, then we can use one sample t-test.

The test statistic is:

[tex]t = \dfrac{\overline{x} - \mu_0}{s/\sqrt{n}}[/tex]

where we have:

For this case, we want to test  the hypothesis that the average speed of cars is greater than the speed limit.

That means we want to know if

unknown population mean (the average speed of cars) > speed limit (45).

symbolically, we want to test if [tex]\mu > 45[/tex] (in miles per hour)

Thus, the test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test

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Answer: Right-tailed test

Step-by-step explanation:

I just got it right on edu

Answer:

15 min

Step-by-step explanation:

6 episodes in 1.5 hrs.

1 episode in 1.5/6 hr.

i.e. 1.5*60/6 min

=15 min

Angle 1 is 105 degree

Angle 2 is 75 degree

Answer:

-4

Step-by-step explanation:

The function for this graph is :

y = | x | + (-4)

It intersects the y-axis at (0, -4)

[tex]\\ \rm\Rrightarrow y=|x-h|+v[/tex]

[tex]\\ \rm\Rrightarrow y=|x-0|+(-4)[/tex]

[tex]\\ \rm\Rrightarrow y=|x|-4[/tex]

The economic concept that best characterizes zane’s production process is diminishing marginal product.

Diminishing marginal product is an economic concept which states that says as more quantities of a variable input in the production process is added to a fixed factor used in production, output might increase initially but after a point total output would increase at a decreasing rate and marginal product would begin to decrease.

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