PLS HELPPPP equation of the line that is parallel to the line y − 3x = 4 and passes through the point (0, −3)

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).

The lemon should be sold 3 days from now to maximize profit, which would be $894.80.

Given that a Super Lemon currently weighs 100 kg and is increasing by 4 kg per day, and the price for Super Lemon’s is currently $8.90 per kg but is decreasing at $0.30 per day, and the cost to grow the lemon is $0.80 per day, to determine how many days from now the lemon should be sold to maximize profit and what the maximum profit will be, you should perform the following calculation:

Therefore, the lemon should be sold 3 days from now to maximize profit, which would be $894.80.

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Angle 1 is 105 degree

Angle 2 is 75 degree

Answer:

A

Step-by-step explanation:

hope you get it

Answer:

753.98224

Step-by-step explanation:

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

Answer:

C

Step-by-step explanation:

A difference of squares can be factored in general as

a² - b² = (a - b)(a + b)

We are looking for 2 terms separated by a - and perfect squares on either side. The only one meeting this criteria is

25x² - 64y²

= (5x)² - (8y)²

= (5x - 8y)(5x + 8y) ← in factored form

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.

To learn more about diminishing marginal product, please check: https://brainly.com/question/13923885

Answer:

3/5

Step-by-step explanation:

blue marbles in the bag is 12. the total marbles in the bag including the blue marbles is 20. so, take 12 over 20 and then simplify/divide it with 2, the first answer you'll get is 6/10, then simplify/divide it again with two and you'll get 3/5

Answer:

hi

Step-by-step explanation:

Answer:

AC=16

Step-by-step explanation:

6x+2=5x+3

6x-5x=3-2

X=1

——-

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

Step-by-step explanation:

I wrote the steps step-by-step for you

I hope you understand...

Answer:

Step-by-step explanation:

3x^2 + 8x - 16 - SOMETHING = x^2 - 4

Re-arranging left and right:

SOMETHING = 3x^2 + 8x - 16 - x^2 + 4

= (3x^2 - x^2) + 8x - 16 + 4

= 2x^2 + 8x - 12

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:

Choice B) No.

Step-by-step explanation:

When she starts , she does a sit-up every 222 seconds.

But as she gets tired, each sit-up takes longer and longer to do.

It means, each sit-up takes more time than she did at beginning.

So, it is NOT proportional to the time.

If it is proportional, she should take constant number of sit-ups even she get tired.

Answer:

No

Step-by-step explanation:

Khan

Answer:

mode is 16

Step-by-step explanation:

because there are 3 16s which is the most common number in this data set

Answer:

16

Step-by-step explanation:

Your mode would be 16

Your mode is 16 because the mode is the number that appears most in the data set and 16 appears 3 times in the data set.

Here is some extra answers just incase.

median=14.5

Because median is the middle number and because 13,16 are the middle numbers then you split that in middle and plus you also have to sort it least to gretest.

Mean=14.5 also because mean is the average of all the numbers in the data set.

range is 8

Range is the highest number subtracting lowest number so 19-11=8

Minimum is 11

The minimum is the lowest number and the data set so 11

maximum is 19

Maximum is the highest number in the data set.

Hope it helps have a great day:)

Answer:

The answer is 2.8 because it is the same length as the other side

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

Learn more about one sample t-test here:

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Answer: Right-tailed test

Step-by-step explanation:

I just got it right on edu

Answer:

(multiply both sides by 6)

6×[tex]\frac{4h+4}{6}[/tex]-10×6=-2h×6

(simplify)

4h+4-60=-12h

4h-56=-12h

(move constant to the right side and variable to the left)

4h+12h=56

16h=56

(divide both sides by 16)

h=7/2

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

Learn more about quadratic equation: at:

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#SPJ2

Answer:

A

Step-by-step explanation:

It’s the opposite

[tex]47 = 2(x + 3) + 3(x - 3)[/tex]

[tex]47 = 2x + 6 + 3x + - 9[/tex]

[tex]47 =(2 x + 3x) + (6 + - 9)[/tex]

[tex]47 = 5x + - 3[/tex]

[tex]47 = 5x - 3[/tex]

[tex]5x - 3 = 47[/tex]

[tex]5x = 47 + 3[/tex]

[tex]5x = 50[/tex]

[tex]x = \frac{50}{10} [/tex]

[tex]x = 10[/tex]

Let us check whether or not we have found out the correct value of x by placing 10 in the place of x .

So :-

[tex]47 = 2(10 + 3) + 3(10 - 3)[/tex]

[tex]47 = (20 + 6) + (30 - 9)[/tex]

[tex]47 = 26 + 21[/tex]

[tex]47 = 47[/tex]

As the left hand side of the equation is equal to the right hand side of the equation , we have found out the correct value of x .

Therefore , 47 = 2 ( 10 + 3 ) + 3 ( 10 - 3 ) and x = 10 .

0.338 is the answer

hope this helped

Based on the information, the combined thickness will be 0.3338.

From the information given, we are told to find the combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm.

This simply means that we need to add the decimals. This will be:

= 0.008 + 0.125 + 0.15 + 0.185 + 0.005

= 0.3338 cm

Learn more about decimals on:

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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:

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:B

Step-by-step explanation:

Answer: 2

Step-by-step explanation: See all you have to do is have 4.5 + -2.5 and the answer from that is your midpoint

Edit: This is for a number line

Answer:

Set p =4

Set q=25

Step-by-step explanation:

Range is highest value minus lowest value

Set P=5-1=4

Set Q=26-1=25