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Kaylis [27]
2 years ago
7

Evaluate 3^−1⋅(4⋅6)⋅2^−3

Mathematics
1 answer:
charle [14.2K]2 years ago
4 0

Answer:

3^{-1}*(4*6)*2^{-3}=1

Step-by-step explanation:

3^{-1}*(4*6)*2^{-3}

\frac{1}{3}*24*\frac{1}{8}

\frac{1}{3}*3

1

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PLEASE HELP!!! very confused
Leni [432]

Answer:

Step-by-step explanation:

The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1 and so far we have that h = 0 and k = 0.

By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.

The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:

If h+c = 13 and h = 0, then

0 + c = 13 and c = 13.

We need that c value to help us find b:

c^2=a^2+b^2 and

13^2=5^2+b^2 and

169=25+b^2 and

144=b^2 so

b = 12. Now we're ready to fill in the equation:

\frac{x^2}{25}-\frac{y^2}{144}=1 and there you go!

3 0
2 years ago
A company sells boxes of small blue pom-poms (b) for $42 and boxes of large orange pom-poms (p) for $52. They make batches of sm
Strike441 [17]

Answer:

b = 40 - p

42b + 52p = 350

Step-by-step explanation:

Given : No. of small blue pom-pom boxes = b

            No. of large orange pom-poms    = p

           cost of 1 box of blue pom pom = $42

           cost of one  large orange pom-pom box = $52

Solution:

Since we are given that the company has only 40 boxes

⇒b+p=40

⇒b=40-p

Since cost of 1 box of blue pom pom = $42

So, cost of b box of blue pom pom = $42b

Since,cost of one  large orange pom-pom box = $52

So,cost of p  large orange pom-pom box = $52p

We are also given that the company plan to make $350

⇒42b+52p=350

Hence Option b is correct

b = 40 - p

42b + 52p = 350

4 0
3 years ago
Read 2 more answers
Probability question, which I am stuck on!
son4ous [18]

Answer:

land on 3: 36 times

land on 4: 63 times

Step-by-step explanation:

A biased dice is the opposite of a fair dice.

A fair dice has the same probability of landing any of the six numbers: 1/6

The biased dice has different probabilities for its results.

To solve this question, first we need to find the probability of landing a 3.

The sum of all probabilities need to be 1, so:

0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1

p(3) = 1 - 0.88 = 0.12

If we roll the dice 300 times, the expected number of times the dice will land:

on 3: 300 * p(3) = 300 * 0.12 = 36 times

on 4: 300 * p(4) = 300 * 0.21 = 63 times

7 0
3 years ago
Write the quadratic equation in standard form. What is the value of b 2 - 4ac?
Fittoniya [83]
B^2 - 4ac > 0
2x^2 +7x -1 =0
b =7 a=2 c= -1
b^2 - 4ac = 7^2 - 4*2*(-1)
= 49 + 8
= 57
5 0
3 years ago
Find the missing value 8- = -5​
podryga [215]

Answer:

x = 13

Step-by-step explanation:

call the missing number x

8 - x = - 5                        Subtract 8 from both sides

8-8 - x = -5-8                  Combine

-x = - 13                           Multiply by -1

x = 13

6 0
3 years ago
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