= Homework: Mo...
Ben bowled 122 and 188 in his first two games. What must he bowl in his third game to have an average of at least 160?
HOM

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

Answer:

14.6

Step-by-step explanation:

the given angle 6.2 is cleared to be wrong

so we will erase the point of decimal and times sin62 with hypotenous 16.5 that will give us 14.6 length unit as 2 triangles are symmetric as the line cut them to 2 equal triangles

The events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).

Given that

For mutually exclusive events, P(A) + P(B) = P(A or B).

So, P(A) + P(B) = 0.3 + 0.6 = 0.9

P(A or B) = 0.8

Since P(A) + P(B) = 0.9 ≠ P(A or B) = 0.8

The events are not mutually exclusive.

So, the events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).

Learn more about mutually exclusive events here:

https://brainly.com/question/14660720

Answer:

C

Step-by-step explanation:

Answer:

applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed

voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power

Answer:

7

Step-by-step explanation:

Simply plug in 3 for x. 3 times 3 is 9 and 9 minus 2 is 7.

Answer:

D. The wait time will be about 2 mins.

Step-by-step explanation:

You have to substitute the x into the equation as we know it is 10.

So, y = (-1.62 × 10) + 18.

Thus, y = -16.2 + 18.

Then, y would equal 1.8.

Therefore you would round to the nearest minute which would be 2.

Hope this helps :)

Answer:

d

Step-by-step explanation:

Using the Cosine rule to find ∠ A

cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]

         = [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]

         = [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]

         = [tex]\frac{5.21}{58.14}[/tex] , then

∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )

x^2 + 5x = -2

x^2 + 5x + 2 = 0

We need to use the quadratic formula.

In the formula, a = 1, b = 5 and c = 2.

See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.

Answer:

10

Step-by-step explanation:

8x+16+60=156

8x+76=156

8x=80

x=10

Answer:

A. 4

Step-by-step explanation:

i guess it A. 4 i dunno

Four types

All types of python windows are

Answer:

Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.

Answer:

integration is the opposite of differentiation

Step-by-step explanation:

integration requires addition of 1 to the power and then division by the value eg

the integral of

[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]

while in differentiation, u subtract one and multiply by the value. eg

the differential of

[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]

Answer:

C

Step-by-step explanation:

[tex]7^{\tfrac 14} = \sqrt[4]{7}[/tex]

Answer:

Merry Christmas to u, ik i can't help but I would just like to say merry Christmas to u too

Answer:

y=-1/2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-8)

y=-1/2x+8/2+3

y=-1/2x+4+3

y=-1/2x+7

Answer:

3 1/3 is the answer im pretty sure

Answer:

$2,139 was the total amount the school raised.

Step-by-step explanation:

35% of 600= 210

210+600 = $810

10% of 810= 81

810-81= $729

6th Graders= $600

7th Graders= $810

8th Graders= $729

Answer:

at least 8

Step-by-step explanation:

Answer:

At least 8

Step-by-step explanation:

I took the test

Answer:

its 2 ounces. if you look it up it would tell you

Answer:

IQR = 3

Step-by-step explanation:

Subtract your Q1 and Q3.

Q1 = 3

Q3 = 6

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

y = -2x - 2

Answer:

not sure about 80 but for 79, the answer is -185

Step-by-step explanation:

P(4)= (4)^3 - 4(4)^2 + 3(4) - 5

P(4)= 64 - 16^2 + 12 - 5

P(4)= 64 - 256 + 12 - 5

P(4)= -185

(sorry if i made a mistake)

Answer:

f(-3)= 1

f(1)= -1

If f(x)= -2 then x = 3

If f(x) = 2 then x = -5

Step-by-step explanation:

f(x) can be replaced with any number. It just means y. For example, let's replace the (x,y) with the (-5,2). For this point, this is f(-5) = 2. When they ask for f(x), they are just asking what y is with a given coordinate x. So when they ask what f(-3) is, they are asking what y is with -3 being the x coordinate.

So, f(-3) = 1

f(1) = -1

For these questions:

If f(x) = -2 then x = ?

If f(x) = 2 then x = ?

They are asking what x is when y is -2 or 2. So here:

If f(x) = -2 then x = 3

If f(x) = 2 then x = -5

Answer:

6 is the answer for the question

Answer:

36   and -1/8

Step-by-step explanation:

x^2 = 3^2 = 9 * 4 = 36

y^-3 = (-2)^-3 = -1/8

Answer:

-4.5.

Step-by-step explanation:

4x^2 y^-3

= 4x^2 / y^3

When x = 3 and y = -2

it is 4(3)^2 / (-2)^3

= 36 / -8

= -4.5.