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Artyom0805 [142]
3 years ago
15

What is the average rate of change of h(x) over the interval -13

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0
The average rate of change of h(x) in the closed interval [ a, b ] is

Here [a, b ] = [ - 2, 2 ], thus
f(b) = f(2) = × 2³ - 2² = 1 - 4 = - 3
f(a) = × (- 2)³ - (- 2)² = - 1 - 4 = - 5
average rate of change = = =
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Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the
nordsb [41]

Answer:

Greater than (>)

Step-by-step explanation:

Last week, Jason ran 26.1 miles.

He wants to run further this week.

<u>Distance Run this week</u>

  • 2.4 miles to the park,
  • Four times around the park= 4p (if distance around the park is p miles)
  • 2.4 miles back from the park.

Total Distance this week =2.4+4p+2.4

Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:

Total Distance covered this week > Total Distance Last week

2.4+4p+2.4>26.1

Jason should use the greater than inequality sign.

4 0
3 years ago
Read 2 more answers
Martin is an artist who molds plaster into unique shapes.
defon

Step-by-step explanation:

the volume of this object is the sum of the volume of the 2 blocks.

the large block is a cube of 4×4×4 = 64 ft³

the small block is 1×1×2 = 2 ft³

so, in total, he can fit 64+2 = 66 ft³ of plaster into the mold.

8 0
2 years ago
Hey um does anyone wanna help me?
hram777 [196]

Answer:

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4 0
3 years ago
Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

5 0
3 years ago
Which of the following expressions represents the GCF of 91x 2 y and 104xy 3?
zlopas [31]
The greatest common factor is found by finding the product of common primes.

91=7*13, 104=2*2*2*13  so the gcf of 91 and 104 is 13.  Since the highest power of x and y in both terms is 1, the hcf for the variables is just xy

13xy
6 0
3 years ago
Read 2 more answers
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