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3 years ago

The center of a circle represented by the equation (x + 9)2 + (y − 6)2 = 102 is

Mathematics

2 answers:

KIM [24]3 years ago

8 0

X+y=48 you Can do afiyet this

german3 years ago

7 0

Anyways the center will be (-9;6)

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Please help! Israel added $80 to his savings. This added amount represents 1/8 of his total savings. If s represents the total s

Montano1993 [528]

Answer:

$s+80=\dfrac{1}{8}s$

Step-by-step explanation:

Let s represents the total Israel's savings.

Israel added $80 to his savings. Hence, he then had $(s+80).

This added amount represents $\frac{1}{8}$ of his total savings. $\frac{1}{8}$ of his total savings is

$\dfrac{1}{8}s$

Therefore,

$s+80=\dfrac{1}{8}s$

8 0

3 years ago

Which function is the inverse of f(x)= x^3-6x^2+12x-8

Anna71 [15]

We're not given the choices but we don't need them.

The only way this problem is tractable to a middle or high schooler is if the polynomial is perfect cube; a little thought yields

$f(x) = (x-2)^3$

To find the inverse let's call f(x) x and call x y and solve for y.

$x = (y-2)^3$

$y-2 = \sqrt[3]{x}$

$y = 2 + \sqrt[3]{x}$

4 0

2 years ago

Read 2 more answers

The ratio of blue marbles to white marbles in Simran's bag is equal to 1 to 2. If there are 20 blue marbles how many white marbl

kupik [55]

40 white marbles
i have to write something else so the answer is longer

8 0

2 years ago

A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 o

olganol [36]

Answer:

The expected value of X is $0.0833.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are $6^2 = 36$ desired outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3)

Sum of 10: (4,6), (5,5), (6,4)

Sum of 12: (6,6)

Probabilities:

5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.

4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.

36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.

What is the expected value of X?

Multiplication of each outcome by its probability. So

$E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833$

The expected value of X is $0.0833.

4 0

3 years ago

The boat sailed 30min upstream and sailed 60km, and returned the same distance downstream (60km) and sailed it in 20min. Find th

elena55 [62]

Answer:

Step-by-step explanation:

b and c are the speeds of the boat and current, respectively.

Traveling upstream, the boat moves b-c km per hour.

Traveling downstream, the boat moves b+c km per hour.

b-c = (60 km)/(½ h) = (120 km)/h

b+c = (60 km)/(⅓ h) = (180 km)/h

Adding the equations together,

2b = (300 km)/h

b = (150 km)/h

c = (30 km)/h

7 0

2 years ago