MATHEMATICS HIGH SCHOOL

Corey collection 4pound of newspaper on day 1after day one he collected 4 times the amount on which day did he first collect over a 1000 pounds of new paper

Answers

Answer 1

Answer:

Answer:

Fifth Day (1024 pounds)

Step-by-step explanation:

For every subsequent day, he collected 4 times the previous day.

This increase is a ratio/product, therefore the sequence is a geometric sequence.

The nth term of a geometric sequence, $U_n=ar^(n-1)$

Where:

a=first term

r=common ratio

n=number of terms

Corey collected 4 pounds of newspaper on day 1., a=4

After day one he collected 4 times the amount and for every subsequent day, he collected 4 times the previous day. r=4

We want to determine on which day he will first collect over a 1000 pounds of new paper.

$U_n=1000\n4 X 4^(n-1) =1000\n4^(n-1)=250$

In order to apply law of indices, we look for the next term greater than 250 which is an index of 4.

$4^(n-1)>256>250\n4^(n-1)>4^4\nn-1>4\nn>4+1\nn>5$

Therefore on the fifth day, he will collect an amount over 1000 pounds, precisely 1024 pounds.

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Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.(-3,-3);y=-3x-2 y=−3x+2
Write an equation for the line in slope-intercept form.

Answers

Answer:

y = –3x – 6

Step-by-step explanation:

We'll begin by obtaining the slope of the equation y = –3x – 2.

This can be obtained by comparing

y = –3x – 2 with y = mx + c

Thus, the slope (m) of the equation

y = –3x – 2 is –3.

Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.

This is illustrated below:

For parallel lines, the slope are related as follow:

m1 = m2

m1 = –3

m2 = m1 = –3.

Finally, we shall determine the equation as follow:

Coordinate = (–3, –3)

x1 coordinate = –3

y1 coordinate = –3

Slope (m) = –3

y –y1 = m(x – x1)

y – (–3) = –3 (x – (–3))

y + 3 = –3 (x + 3)

y + 3 = –3x – 3

Rearrange

y = –3x – 3 – 3

y = –3x – 6

Thus, the equation parallel to the line is y = –3x – 6

Select one or more expressions that together represent all solutions to the equation. Your answer should be in radians. Assume n is any integer. 16 cos(15x)+8=2

Answers

The value of x is for the given trigonometric function is found as: x = 0.1303 + 1/15 *2nπ.

Explain about the solutions of trigonometric functions?

The fact that too many trigonometric equations have infinitely multiple solutions rather than two makes a significant distinction.
We will learn how to interpret one solution of an equation in terms of all the other answers by using the inverse trigonometric functions.

The given expression is:

16 cos(15x) + 8 = 2

On simplification:

cos(15x) = (2-8)/16

cos(15x) = -3/8

15x = arcos ( -3/8 )

15x = 2π - arcos ( -3/8 )

15x = arcos ( -3/8 ) + 2nπ ;or

15x = 2π - arcos ( -3/8 ) + 2nπ ; n ∈ Z

So,

15x = 1.955 + 2nπ

x = 1/15(1.955 + 2nπ)

x = 0.1303 + 1/15 *2nπ , n ∈ Z

Thus, the value of x is found as: x = 0.1303 + 1/15 *2nπ.

Know more about solutions of trigonometric functions, here

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The complete question is attached:

A sphere has a volume of 4500pi cubic inches. find the surface area of the sphere.

Answers

$V=(4 \pi r^3)/(3)\n \n 4500\pi=(4 \pi r^3)/(3)\n \n 13500 \pi=4 \pi r^3\n \n r^3=(13500 \pi)/(4 \pi)\n \n r^3=3375 \n \n \boxed{r=15 in}$

$S=4 \pi r^2\n \n S=4 \pi 15^2\n \n \boxed{S=900 \pi \ in^2}$

$Cube : \ V=4500 \ \pi \ in^3\n\nV=(4)/(3)\pi r^3 \n \n4500 \pi =(4)/(3)\pi r^3 \ \ / \cdot ((3)/(4\pi))\n \n(3)/(4\pi)\cdot 4500 \pi =(3)/(4\pi)\cdot (4)/(3) \pi r^3\n \nr^3 =3*1125$

$r^3 = 3375 \n\nr=\sqrt[3]{3375}\n \nr=15 \ in \n \n the \ surface \ area : \n\nSA = 4 \pi r^2 \n \nSA=4 \pi \cdot 15^2 = 4\cdot 225 \pi = 900 \pi \ in^2$

Name the Ray that PQR and SQR share

Answers

Both share the Ray W

PPPPPPPPPPPLLLLLLLLLLZZZZZZZ HELPPPPP I WILL GIVE 50 POINTS

Answers

Hello!

Reading these types of graphs can be difficult, but it displays the following numbers:

27, 30, 31, 43, 45, 49, 51, 58, 62, 64

To find mean, or average, you need to add up all of the numbers and divide by how many there are (10)

This will give you 46.

I hope this helps you and good luck!

Your answer should be 46.

Hope it helps!

Before adding or subtracting fractions, one must first get a common __________. A) Numerator B) Denominator C) Whole number D) Mixed number

Answers

Before adding or subtracting fractions, one must first get a common **B) Denominator.** Having a common denominator allows fractions to be combined accurately.

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