Find the circumference of the circle. Round your answer to the nearest hundredth.
Thank you!

Answer:

17. See below

18. 750

Step-by-step explanation:

17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.

18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

[tex]y=0.5x+125[/tex]

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:

[tex]500=0.5x+125[/tex]

[tex]500-125=0.5x[/tex]

[tex]375=0.5x[/tex]

[tex]\frac{375}{0.5} =x[/tex]

[tex]375*2=x[/tex]

[tex]750=x[/tex]

Thus, 750 lollipops must be sold.

Answer:

I’m not sure :/

Step-by-step explanation:

Answer:

aₙ = -2aₙ₊₁

Step-by-step explanation:

According to the sequence given 16, -8, 4, ...

a1 = 16

a2 = -8

a3 = 4

From the values, we can conclude thst;

a1 = -2(-8)

Since a2 = -8, then;

a1 = -2(a2)

Similarly

a2 = -2(4)

a2 = -2a3

The subsequent sequence are;

a3 = -2a4

The nth term will ne;

aₙ = -2aₙ₊₁

Hence the required recursive function is aₙ = -2aₙ₊₁

The recursive formula for the given sequence is

[tex]a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]

Given :

The terms of the sequence are  16, -8, 4, ...

Lets find the difference between the terms

[tex]-8-16=-24\\4-(-8)=12[/tex]

There is no common difference. So this is not an arithmetic sequence

Now we check common ratio'

[tex]\frac{-8}{16} =-\frac{1}{2} \\\frac{4}{-8} =-\frac{1}{2} \\[/tex]

The common ratio is -1/2

Now we write recursive formula

[tex]a_{n}=r(a_{n-1})[/tex]

Where 'r' is the common ratio

[tex]a_{n}=r(a_{n-1})\\a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]

The recursive formula is

[tex]a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]

Learn more :  brainly.com/question/24231459

Answer:

[tex]V=bh_{2}[/tex]

Answer:

A. -6;1

Step-by-step explanation:

h(x) = x² + 5x - 6

D=25+24=49=7²

[tex]x_{1} =\frac{-5-7}{2}=-6\\[/tex]

[tex]x_{2} =\frac{-5+7}{2}=1[/tex]

Answer:

A and C

Step-by-step explanation:

The distance between P and Q is 14.

With the first one the absolute value is of -8 is 8 and 8+5 is 14 so that's right.

The third one subtracting a negative is like adding a positive. So it would be 5+8 which is also 14.

The other to equal 3 and -3 which is wrong.

Answer:

358,002,479

Step-by-step explanation:

This is what it is.

Answer: 358,002,479

Step-by-step explanation:

First, you have 358 million, or 358,000,000.

Next, you have 2,000. You can add that to 358,000,000 and you get 358,002,000.

Finally, you have 479. You can add that to 358,002,000, and get 358,002,479.

Here's a visual representation:

  358,000,000

              2,000

+                 479

  358,002,479

Answer:

C) 50

Step-by-step explanation:

One leg is 30, the other is 40, and the hypotenuse is 50

Please brainliest!

Answer:

There are two roots:  -3 and 3

Step-by-step explanation:

Combine the like terms first.  We get u^2 = 9.

There are two roots:  -3 and 3.

Step-by-step explanation:

22+2x+8= x+20

2x+30=x+20

x+30=20

x=-10

answer is -10

Answer:

The value of x = 36°, while the value of y = 72°.

Step-by-step explanation:

All of these angles add up to 360°.

Opposite angles are always equivalent, so the angle opposing x would be 36°, which means x = 36°.

360 - 2(36) = 288

288/4= 72

To check:

(72 * 4) + 2(36) = 360

Answer:

229$

Step-by-step explanation:

i did the math hope it helps please mark me brainist

For this one it’s 3/4. (Positive since it’s going up and you can’t simplify it anymore).

Answer:

the solution to the system of equations is (8,10).

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing [tex]\frac{210}{1} *\frac{\pi }{180}[/tex], and we ge that θ is [tex]\frac{7\pi }{6}[/tex] so ([tex]\frac{7\pi }{6}[/tex])(5)= 18.326 inches

Answer:

75.39 in^2

Step-by-step explanation:

circumference=2πr

30.8=2(3.14)r

30.8=6.28r

4.9=r

Now that we know the radius, we can plug it in for the area equation

area=πr^2

area=(3.14)(4.9)^2

area=(3.14)(24.01)

area=75.39 in^2

Answer:

DEF is acute (smaller than 90°...small = “cute” is what I tell my kids)

Triangle is equilateral

equi = equal

Lateral = sides

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

[tex](n+2)^{2} = n^{2} + (n+1)^{2}[/tex] (1)

Donde [tex]n[/tex] es un número natural.

A continuación, expandimos la expresión y resolvemos:

[tex]n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1[/tex]

[tex]n^{2}-2\cdot n -3 = 0[/tex]

[tex](n -3) \cdot (n+1) = 0[/tex]

La única solución factible es [tex]n = 3[/tex]. En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

The answer would be: 8/9

:)

Answer:

C. In 1/2, two times numerator (2*1=2) is equal to denominator (2)

D. In 2/5, two times numerator (2*2=4) is smaller then denominator (2)

C. In 3/4, two times numerator (2*3=6) is greater than denominator (4)

I'm not sure I fully understand your answers to B and F though.

Answer:

y=-0.5x+8

Step-by-step explanation:

stat, or just rise over run

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]3(x + 3y) \\ = 3x + 9y[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

A) up 5 units

Step-by-step explanation:

Given

See attachment for grid

Required

Which places ABCD in a quadrant

Considering vertical movements

From the x-axis, the distance between each point and the line of the x-axis is (the y coordinates):

[tex]A = -4[/tex]

[tex]B =3[/tex]

[tex]C = 7[/tex]

[tex]D = -2[/tex]

Considering the highest magnitudes in the positive and negative column, we have:

[tex]A = -4[/tex] and [tex]C = 7[/tex]

[tex]A = -4[/tex] means that a upward movement by (4 + 1) units will move ABCD completely in a quadrant;

[tex]4 + 1 = 5[/tex]

Hence, 5 units upward -- This represents option (a)

[tex]C = 7[/tex] means that a downward movement by (7 + 1) units will move ABCD completely in a quadrant

[tex]7 + 1 = 8[/tex]

Hence, 8 units downward

Consider horizontal movements

From the y-axis, the distance between each point and the line of the x-axis is (the x coordinates):

[tex]A = -8[/tex]

[tex]B = -6[/tex]

[tex]C = -3[/tex]

[tex]D =-2[/tex]

Considering the highest magnitudes in the positive and negative column, we have:

[tex]A = -8[/tex]

[tex]A = -8[/tex] means that a left movement by (8 + 1) units will move ABCD completely in a quadrant;

[tex]8 +1 = 9[/tex]

Hence, 9 units upward

(a) answers the question

Answer:

The sale for the line plot should be from 0 to 1 with tick marks at every 1/10

Step-by-step explanation:

Hope it helps :)

Answer:

D.

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

distance= sqrt((x2-x1)^2+(y2-y1)^2))

sqrt((5-(-3))^2+(4-4)^2))

sqrt(5+3)^2+(4-4)^2)

sqrt(8^2+(4-4)^2)

sqrt(64+(4-4)^2)

sqrt(64+0^2)

sqrt(64+0)

sqrt(64)

sqrt(8^2)

8

Answer:

1) 0.9, 0.99, 0.09, 0.0009

2) 4(2x²+9x)

3) 110

4) $9.50 per pizza

5) 23

Answer:

9.09%

Step-by-step explanation:

Area of a rectangle = length x breadth

to determine the answer, i would use an example

Assume length = 10

breadth 20

Area = 10 x 20 = 200

If the length is increased by 10%, the new length becomes = 1.1 x 10 = 11

11 x b = 200

b = 200/11 = 18.181818

Percentage reduction = (18.181818 / 20) - 1 = 0.0909 = 9.09%