5 points
A circle has a radius of 3 inches. What is the length, in inches, of an arc intercepted by a central angle of 2 radians?

Given:

The equation is:

[tex]y=20x^2-40[/tex]

To draw:

The graph of the given equation.

Solution:

We have,

[tex]y=20x^2-40[/tex]

The table of values for the given equation is:

x :        -2                -1                0                1                2

y :       40              -20            -40             -20             40

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of the given equation is shown below.

Answer:

6 is your base

your height is 8

8 x 6 = 48

48 divided by 2 = 24

Step-by-step explanation:

B is your answer

Answer:

e

Step-by-step explanation:

use a calculator online

The probability of winning the grand prize is 0.00101 if the In the Michigan State Lottery, a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

Total outcome = C(49, 6)  (repetition not allowed)

= 13983816

Favourable outcomes = 49⁶

Probability of winning the grand prize:

= 13983816/49⁶

After calculating:

P = 0.00101

Thus, the probability of winning the grand prize is 0.00101 if the In the Michigan State Lottery, a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

Learn more about the probability here:

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Answer:

b= 7

Step-by-step explanation:

Answer:

Option D. -1 and 0

Step-by-step explanation:

Answer:

D. -1 and 0

Step-by-step explanation:

The number is not a mixed number or improper so it is going to be less than one.

Answer:

[tex]ML = 58[/tex]

Step-by-step explanation:

Given

[tex]JK=3x+11, ML=10x-12, NP=45[/tex]

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

[tex]JK : NP = NP : ML[/tex]

Express as fraction

[tex]\frac{JK }{ NP} = \frac{NP }{ ML}[/tex]

Cross Multiply

[tex]JK * ML = NP * NP[/tex]

Substitute values:

[tex](3x +11) * (10x - 12) = 45 * 45[/tex]

Expand

[tex]30x^2 - 36x + 110x - 132 = 2025[/tex]

[tex]30x^2 +74x - 132 = 2025[/tex]

Collect like terms

[tex]30x^2 +74x - 132 - 2025=0[/tex]

[tex]30x^2 +74x -2157=0[/tex]

Using a calculator:

[tex]x \approx -10[/tex] and [tex]x \approx 7[/tex]

Given that:

[tex]ML=10x-12[/tex]

Substitute values for x

[tex]ML=10*-10-12 = -100 - 12 = -112[/tex]

[tex]ML=10*7-12 = 70 - 12 = 58[/tex]

ML cannot be negative; So:

[tex]ML = 58[/tex]

Answer:

B

Step-by-step explanation:

i am smart :)

Where the 2 lines meet in the middle to form an X

Answer:

The line of symmetry is -2

Step-by-step explanation:

I like to plug in equations and coordinates into a graphing calculator in order to get my answers. If you don't own a graphing calculator there is a site called desmos that is free.

Answer:

Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.

Step-by-step explanation:

Answer and step-by-step explanation:

Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.

y = -1/2x + 3

The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!

Answer:

2b^2+2b

Step-by-step explanation:

b+3b^2+b-b^2

(b+b)+3b^2-b^2

2b+2b^2

Answer:

Step-by-step explanation:

Answer:

4√3/3

Step-by-step explanation:

Find the diagram attached below

Considering angle 60°

Opposite side = 2

Hypotenuse = x

Using the SOH CAH TOA identity

sin theta  = opposite/hypotenuse

sin 60 = 2/x

x = 2/sin60

x = 2/(√3/2)

x = 2 * 2/√3

x = 4/√3

Rationalize

x = 4/√3 * √3/√3

x = 4√3/3

Hence the value of x in its simplest form is x = 4√3/3

Answer:

(Base x height) x 1/2

Step-by-step explanation:

We do this because a triangle is emulating a rectangle with Base x Height. However, a triangle's shape is less conventional than a standard square or rectangle, thus the division by 2.

Answer:

A=bh/2

Step-by-step explanation:

For a right triangle with base b and a height h, its area is A=bh/2

Answer:

y = 7

Step-by-step explanation:

hope this helps

Answer:

Perimeter = 25

Step-by-step explanation:

J(-2, 5)

K(1, 1)

L(1, -1)

M(-5, -4)

N(-5, 1)

Formula for distance between 2 coordinates is;

d = √((x_2 - x_1)² + (y_2 - y_1)²)

Thus;

JK = √((1 - (-2))² + (1 - 5)²)

JK = √25

JK = 5

KL = √((1 - 1)² + (-4 - 1)²)

KL = √25

KL = 5

LM = √((-5 - (-1))² + (-4 - (-1))²)

LM = 5

MN = √((-5 - (-5))² + (1 - (-4))²)

MN = 5

JN = √((-5 - (-2))² + (1 - 5))²)

JN = 5

Thus;

Perimeter = 5 + 5 + 5 + 5 + 5

Perimeter = 25

Answer:

It is 14. I split the shapes.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The above-listed answer choices are the only ones that are self-consistent.

The quotient choices all have a leading coefficient of 3, and the result of dividing by <some number> is a leading coefficient of 1. Obviously, the <some number> must be 3 (first choice on the second menu).

Looking only at the constant term, we see that after division by 3, we have 3. So the original quotient constant term must be 3×3 = 9 (first choice on the first menu). Note that we have chosen the correct answer simply by looking at coefficients, not even bothering with actual division of variables.

Answer:

It should be random (i think I don't know)

Step-by-step explanation:

Answer:

Yes it is biased

Step-by-step explanation:

Because instead of selecting a random variety of people they chose ones that are using their service...meaning they probably like the service. (I mean why else would they have it then)

Have a great day.

QUESTION :

Find the given value of each angle for the following supplementary angles must add up to 180

[tex]\Large{\underline{\mathcal{ Given : }}}[/tex]

[tex]\Large{\underline{\mathcal{Tofind : }}}[/tex]

[tex]\Large{\underline{\mathcal{Solution : }}}[/tex]

➱ᴛʜᴇ ᴛᴡᴏ ᴀɴɢʟᴇs ʟɪᴇs ᴏɴ ᴛʜᴇ sᴀᴍᴇ ʟɪɴᴇ

➱ѕσ ѕυм σƒ вσтн тнє αηgℓєѕ = 180°

therefore ,

⤳(5x-13)° + (11x+65)° = 180°

⤳5x -13° + 11x + 65° = 180°

⤳16x + 52° = 180°

⤳16x = 180° - 52°

⤳16x = 128°

⤳x = 128 /16

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{ 8 }}}}}[/tex]

hence ,

the two angles will be

⇛ᴏɴᴇ ᴀɴɢʟᴇ :

➛(5x-13)°

➛5(8) - 13

➛40 - 13

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴏɴᴇ\: ᴀɴɢʟᴇ = \frak{\red{ 27° }}}}}[/tex]

⇛ᴀɴᴏᴛʜᴇʀ ᴀɴɢʟᴇ :

➛ (11x+65)°

➛11(8)+65

➛88 + 65

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴀɴᴏᴛʜᴇʀ\: ᴀɴɢʟᴇ = \frak{\red{ 153° }}}}}[/tex]

Answer:

[tex]3^{-3}[/tex] ÷ [tex]3^{4}[/tex]

Step-by-step explanation:

When pulged into a calculator:

[tex]3^{3}[/tex]  ÷ [tex]3^{-4}[/tex] = 2187

When your options are pulged in you get this:

[tex]3^{-3}[/tex] ÷  [tex]3^{4}[/tex] = [tex]\frac{1}{2187}[/tex]

[tex]3^{3}[/tex] · [tex]3^{4}[/tex] = 2187

[tex]3^{7}[/tex] ÷ [tex]3^0[/tex] = 2187

3 · [tex]3^6[/tex] = 2187

because [tex]3^{-3}[/tex] ÷  [tex]3^{4}[/tex] doesn't equal 2187 that is your answer.

Answer:

(1, -4) & (4,-7)

Step-by-step explanation:

If both the parabola and the line intersect.

Answer:

-3/4

Step-by-step explanation:

The answer will be option c which is short dash 3 over 4.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

Given points are:(1,9)   and  (3,6)

The slope of the line will be calculated as:-

y = mx + c

9 = m+c

6 = 3m+c

By solving the above linear equations we will get the value of m which will be our slope.

m = -3/2

Hence the answer will be option c which is short dash 3 over 4.

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