Chris needs a clever pattern for Math class tomorrow. He comes up with this pattern: 8, 4, 12, 6, 16, 8, 20, 10, ___, __.

What is his rule for this pattern

A. each set of 4 numbers adds to 36.
B. each set of four numbers adds up to 30.
C. each set of 2 numbers makes up a prime number.
D. the first number in each set of 2 numbers is 4 more than the last first number, and the second number is ½ of the first.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

can't really explain it just is the answer

hope this helps!


Related Questions

What are the x-intercepts of the following graph?
1
2 3 4
+
3
G
3
&
a. (0, 2) and (0, -2)
b. (0,4)
c. (2,0) and (-2, 0)
d. (1, 0) and (3, 0)

Answers

Answer:

c (2,0) and (-2,0) I hope ot helps

In 2005, there were 12,000 students at Beachon High. In 2010, there were 12,250. What is the rate of change un the number of students

Answers

The rate of change of the number of students was 50

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)

[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]

vFind the mean and median of the data set. 3, 5, 6, 2, 10, 9, 7, 5, 11, 6, 4, 2, 5, 4

Answers

Step-by-step explanation:

2, 2, 3, 4, 5, 5, 5, 6, 6, 7, 9, 10

_

2+2+3+4+5+5+5+6+6+7+9+10 = 64 ÷ 12 = 5.3

_

Mean: 5.3

Median: 5

What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.

Answers

Answer: 6.64

Step-by-step explanation:

[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]

A person standing close the the edge on the top of a 80 foot building throws a baseball vertically upward. the quadratic function h(t) = -8t^2 + 32t + 80 models the ball's height above the ground, h(t), in feet, t seconds after it was thrown.

How do I efficiently determine...

-- how many seconds it takes until the ball reaches max height
-- the maximum height
-- how many seconds it takes until the ball hits the ground

without graphing?

Answers

The number of seconds it takes until the ball reaches max height is 2 seconds and the maximum height is 112 feet, and the number of seconds it takes until the ball hits the ground will be 6.9 seconds.

What is a  projectile motion?

When a body is thrown in the air then the motion under the gravity is known as projectile motion.

A person standing close the the edge on the top of a 80 foot building throws a baseball vertically upward. the quadratic function

h(t) = -8t² + 32t + 80 models the ball's height above the ground, h(t), in feet, t seconds after it was thrown.

The number of second to reach at maximum height will be

We know that at maximum height, the rate will be zero. Then we have

       h'(t) = 0

-16t + 32 = 0

            t = 2 seconds

Then the maximum height will be

h(t) = -8(2)² + 32 x 2 + 80

h(t) = -32 + 64 +80

h(t) = -32 + 144

h(t) = 112 feet

Then the number of the seconds to reach at the ground will be

-8t² + 32t + 80 = -80

-8t² + 32t + 160 =0

t² - 4t - 20 = 0

Then t will be

[tex]\rm t = \dfrac{-(4) \pm \sqrt{(-4)^2 - 4 * 1 * -160}}{2*1}[/tex]

Then we have

t = 6.9 and -2.9

More about the projectile motion link is given below.

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A jewelry store has 88 rings to display they arrange the rings in a even rose how many rings are in each row

Answers

Answer:

2,4,8,11,22, or 44

Step-by-step explanation:

To figure out how many rings would be in each full row with no leftovers, we need to find all the factors of 88 (outside of 1 and 8) which are 2,4,8,11,22, and 44. Since the question does not give any more information on how big the rows need to be, I can't narrow this down any further, however if I had to choose I would say rows of 8 by 11 would be the best.

Hope this helps! :)

Add the polynomials.

(3x^2+5x−3)+(4x^2+2x)


7x^2+7x−3
7x^2+5x+5
3x^2+9x−1
x^2+5x−3

Answers

The answer is 7x^2+7x-3.

Can someone give me the steps to solving this?

Answers

Answer:

[tex]\tan \theta = \dfrac{8}{15}[/tex]

Step by step explanation:

[tex]\text{Given that,}\\\\~~~~~~~\sin \theta = \dfrac{8}{17}\\\\\implies \sin^2 \theta = \dfrac{64}{289}\\\\\implies 1-\cos^2 \theta = \dfrac{64}{289}\\\\\implies \cos^2 \theta = 1-\dfrac{64}{289}\\\\\implies \cos^2 \theta = \dfrac{225}{289}\\\\\implies \cos \theta =\pm\sqrt{\dfrac{225}{289}}\\\\\implies \cos \theta = \pm\dfrac{15}{17}[/tex]

[tex]\text{In quadrant I, all ratios are positive, so,}~ \cos \theta = \dfrac{15}{17}\\\\\text{Now,}\\\\\tan \theta = \dfrac{\sin \theta }{\cos \theta}\\\\\\~~~~~~~~=\dfrac{\tfrac{8}{17}}{\tfrac{15}{17}}\\\\\\~~~~~~~~=\dfrac{8}{17} \times \dfrac{17}{15}\\\\\\~~~~~~~=\dfrac{8}{15}[/tex]

Sean operates a lawn-cutting business. He charges $15 for a single lawn and $25 for a front and back lawn. Sean made $475 from 25 customers.

Write a system of equations

Answers

The system of equations that models the given situation is given as follows:

x + y = 25.15x + 25y = 475.

What is a system of equations?

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 given as follows:

Variable x: Number of single lawns cut.Variable y: Number of front and back lawns cut.

He had 25 customers, hence:

x + y = 25.

He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:

15x + 25y = 475

More can be learned about a system of equations at https://brainly.com/question/24342899

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What is the value of x.

Answers

Answer:

Step-by-step explanation:

x + x + 36 = 180

2x + 36 = 180

2x = 144

x = 72

PLS HELP QUICKLY
Which pair of functions are inverses of each other?
5
O A. f(x) = -2 and g(x) = +2
B. f(x) = 7x-2 and g(x) = 2
C. f(x) =x/5+ 6 and g(x) = 5x - y
D. f(x) = 3+ 6 and g(x) = 6x³

Answers

Answer: B

[tex]f(x) = 7x-2[/tex] and        [tex]g(x) = \frac{x+2}{7}[/tex]

How to solve:

check if the composite functions of f(x) and g(x) are equal to x (this means they are inverses)

f[g(x)] = x

g[f(x)] = x

Step-by-step explanation:

Checking A.

[tex]f(x) = \frac{5}{x} -2[/tex]

[tex]g(x) = \frac{x+2}{5}[/tex]

[tex]f(g(x)) = f(\frac{x+2}{5} ) = \frac{5}{\frac{x+2}{5} } -2[/tex]

This does not equal x, so we know these are not inverses

Checking B.

[tex]f(x) = 7x-2[/tex]

[tex]g(x) = \frac{x+2}{7}[/tex]

[tex]f(g(x)) = f(\frac{x+2}{7} ) = 7(\frac{x+2}{7}) - 2 = x+2-2 = x[/tex]

[tex]g(f(x)) = g(7x-2) = \frac{7x-2 + 2}{7} = \frac{7x}{7} = x[/tex]

since both f(g(x)) = x and g(f(x)) = x, we can determine that they are inverses of each other.

Laura worked 8 hours today. She spent
the time in meetings, on the phone,
and the rest of the time on the computer.
Make a circle graph to show how Laura
spent her work day.

Answers

Hope this explains it a little better

Is cos²α the same thing as cosα²?

Answers

Answer:

No, it is not the same thing.

Step-by-step explanation:

Hope this helps!

Perform the indicated operation

Answers

Answer:

Step-by-step explanation:

State fundamental theorems

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME ASAP

Does the series converge or diverge? If it converges, what is the sum? Show your work

Answers

The series is a convergence series and the sum of the series is -8/3

The type of the series

The series is given as:

[tex]\sum\limits^{\infty}_{n = 1} -4(-\frac 12)^{n-1}[/tex]

The above series has the following properties:

First term; a = -4Common ratio, r = -1/2

Start by calculating the absolute value of the common ratio

Absolute value = |-1/2|

This gives

Absolute value = 1/2

The above value is less than 1.

It means that the series converges.

The sum of the series

This is calculated using:

[tex]S_{\infty} = \frac{a}{1 -r}[/tex]

So, we have:

[tex]S_{\infty} = \frac{-4}{1 + \frac 12}[/tex]

Evaluate the sum

[tex]S_{\infty} = \frac{-4}{\frac 32}[/tex]

Evaluate the quotient

[tex]S_{\infty} = \frac{-8}{3}[/tex]

Hence, the sum of the series is -8/3

Read more about geometric series at:

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Part B

What is the area of the target that earns at least 30 points on a throw?


Select the correct from the drop-down menu.


the area is ____ square inches.

a) 16

b) 49

c) 121

d) 144

Answers

Given:Radius of 50 point region= 3 inWidth of other regions= 4 inTo find:

The area of the target which earns 30 points on a throw.

Solution:

[tex]\huge\boxed{Formula: a= \pi{r}^{2}}[/tex]

[tex]4+3[/tex]

[tex]=7[/tex]

Let's solve

We have to find the answer in terms of π so, we'll just have to multiply the radius by itself.

[tex]a={7}^{2}[/tex]

[tex]\large\boxed{a= 49 \pi\: {in}^{2}}[/tex]

Hence, the area of the target which earns 30 points on a throw is 49π square inches.

Answer= Option B

please explain how to do this

Answers

I’m guessing you just have to multiply all the sides together and divide

The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving.

part A:Find D(12) and interpret the meaning in the context of the problem.

part B: If D(t)=2490, find the value of t and interpret its meaning in the context of the problem.

Answers

Considering the given function, we have that:

a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

What is the function in this problem?

The distance that the family is from home, after t hours of driving, is given by:

D(t) = 3260 - 55t.

Then, after 12 hours, the distance is given by D(12), that is:

D(12) = 3260 - 55 x 12 = 2600.

D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

D(t)=2490, hence:

3260 - 55t = 2490

55t = 770

t = 770/55

t = 14

D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

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55. a rubber ball is dropped from a height of 60 feet. if it rebounds approximately two-thirds the distance after each fall, use an infinite geometric series to approximate the total distance the ball travels.

Answers

The required total distance the ball travels, approximately, is 180 feet.

Let's denote the height of the first fall as a (initial height of 60 feet), and the distance covered during each rebound as r (two-thirds the distance of the previous fall).

The first fall distance (a) is 60 feet.

The first rebound distance (r) is (2/3) * 60 feet.

The total distance covered during the first fall and rebound cycle is:

60 + (2/3) * 60 = 60 + 40 = 100 feet.

Now, for the subsequent cycles, the ball will continue to fall and rebound in the same pattern:

Second fall distance = r * a
                                  = (2/3) * 60
                                  = 40 feet.

Second rebound distance = r*(2/3) * 60
                                            = (2/3) * 40
                                            = 80/3 feet.

The total distance covered during the second fall and rebound cycle is:

40 + (80/3) ≈ 66.67 feet.

The pattern will continue for the subsequent cycles.

To represent this as an infinite geometric series, we can write:

Total distance = [tex]a + (a * r) + (a * r^2) + (a * r^3) + ...[/tex]

Where:

a = 60 feet (height of the first fall)

r = 2/3 (rebound factor)

Using the formula for the sum of an infinite geometric series:

Total distance = a / (1 - r)

Total distance = 60 / (1 - 2/3)

Total distance = 60 / (1/3)

Total distance = 60 * 3

Total distance = 180 feet.

Therefore, the total distance the ball travels, approximately, is 180 feet.

Learn more about geometric series here:

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Please help me with this

Answers

Answer:

  65.9 ft

Step-by-step explanation:

The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.

__

third angle

The sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...

  angle C = 180° -75° -60° = 45°

ground distance

Then the distance between Amaya and Rochelle (c) is ...

  c/sin(C) = r/sin(R)

  c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)

  c ≈ 65.8846

Amaya and Rochelle are about 65.9 feet apart.

x⁶y⁴/xy²
how would I simplify?
Answer choices:
A: x⁵y²
B:x⁶y²
C:x²y⁵
D:(xy)⁷​

Answers

Step-by-step explanation:

please mark me as brainlest

determine the radius and center of the circle with the following equation
x^2+y^2-12x+24y-10=6

Answers

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

Complete the squares

[tex]x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196[/tex]

Comparing with the standard form equation [tex](x-h)^2+(y-k)^2=r^2[/tex], since [tex]r^2=196[/tex], then the radius of the circle is [tex]r=14[/tex]. Also, the center of the circle would be [tex](h,k)\rightarrow(6,-12)[/tex].

Help please i need this

Answers

Answer:

i can't see the question i would love to help though

Step-by-step explanation:

Can * x ^ 2 + 25 be factored using a difference of two squares?

Answers

No it can't be factored , whenever there is addition between two squares , the expression can't be factored

A bag contains 42 red, 45 green, 20 yellow, and 32 pirple candies. You pick one camdy at random. Find the probability that it is green.

Answers

Answer:

[tex]\text{P(green)} =\frac{45}{139}[/tex]

Step-by-step explanation:

The total number of candies is :

= 42+45+20+32

= 139

Then

we have 45 green out of 139 candies.

Then

[tex]\text{P(green)} =\frac{45}{139}[/tex]

Note : 45/139 is already simplified.

What is the slope of the line with this equation y = 7x - 3 ? Explain.

Answers

Answer:

7

Step-by-step explanation:

y=mx+b

m=pendiente

por lo tanto:

pendiente=7

Hii!

__________________________________________________________

Answer:

Slope = 7! ^^

Step-by-step explanation:

Note that the equation is given to us in slope intercept form.

The slope intercept formula is y=mx+c.

m denotes the slope

c denotes the y intercept.

/--------------\

The slope of the line that we are working with is 7.

Remember how I said that the slope of the line y=mx+c is m?

Similarly, the slope of the line y=7x-3 is 7! ^^

--

Hope that this helped! Best wishes.

--

Point D is the midpoint of AB and point E is the midpoint of BC. Select all of the statements to the right that must be true.

Answers

Answer + Step-by-step explanation:

» ABC ≅ DBE

» DE // AC  

(properties of the mid-segment of a triangle)

» Length of DE = 1/2 length of AC  

(properties of the mid-segment of a triangle)

» ∠BDE = ∠DAC

(Corresponding angles)

The compound interest formula can be rewritten as
P = A/(1 + r/n)nt.
Find the principal P that you need to invest on the day your child is born at 4.2% annual interest compounded quarterly to make your child a millionaire on his or her 21st birthday. (Round your answer to the nearest cent.)

Answers

Answer:

Compound interest, or 'interest on interest', is calculated using the compound interest formula.

The formula for compound interest is A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.

Step-by-step explanation:

AYUDA !!!
hallar el m.c.d por descomposición canónica en cada caso
A) 52 Y 78
B) 56 Y 72
C) 84 Y 96

Answers

Answer:

B

Step-by-step explanation:

Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be lose
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