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Ivanshal [37]
2 years ago
15

Use the identity below to complete the tasks: a3 + b3 = (a + b)(a2 - ab + b2) Use the identity for the sum of two cubes to facto

r 8q6r3 + 27s6t3.
Mathematics
1 answer:
sleet_krkn [62]2 years ago
7 0

First Question Answer:

<em>a = 4x^2</em>

<em>b = 3</em>

Next Question Answer:

Factoring 8q6r3+27s6t3 =

(4x^2 - 3)(16x^4 + 12x^2 + 9)

in simpler words it's<em> Option B. </em>

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The height of a baseball thrown from the catcher to first base is modeled by the function h(t) = –0.09t2 + 0.72t + 6, where h is
Black_prince [1.1K]

The height of a baseball thrown from the catcher to first base is modeled by the function h(t) = -0.09t^2 + 0.72t + 6, where h is the height of the ball measured in feet and t is the time since being thrown, measured in seconds

To find out height of the ball at 10 seconds, we plug in 10 for t

h(t) = -0.09t^2 + 0.72t + 6

h(10) = -0.09(10)^2 + 0.72(10) + 6

h(10)=4.2 feet

the height of the ball at 10 seconds= 4.2 feet

3 0
2 years ago
For what value of "a" will the product shown below have a purely imaginary value? (Show work please)
MakcuM [25]
If you expand out the brackets you get this,

(4+5i)(a+2i) = 4a + (5a)i + 8i - 10

The -10 comes from 5i * 2i.
Squaring i becomes -1.

Let's group the real stuff together,
and imaginary separately,

(4a - 10) + (5a + 8)i

For this to be purely imaginary,
the real part needs to be zero.

Therefore 4a - 10 = 0

Solve for a.
5 0
2 years ago
If you get it right, you are a critical thinker. You were in the garden, there are 34 people in the yard. You kill 30. How many
Elodia [21]
The answer is 1 because you are the only one in the garden. The rest of the people are in the yard.
3 0
2 years ago
A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and
Basile [38]

Answer:

(E) 0.83

Step-by-step explanation:

We will solve it using conditional probability.

Let A be the event that a TV show is successful.

P(A) = 0.5

A' be event that the show is unsuccessful

P(A') =0.5

Let B be the event that the response was favorable

P(B) = 0.6

Let B' be the event that the response was unfavorable/

P(B') = 0.4

P(A∩B) = 0.5 and P(A∩B') = 0.3

We need to find new show will be successful if it receives a favorable response.

P(A/B) = \frac{P(A∩B)}{P(B)}

           = 0.5/0.6

           = 0.833

7 0
2 years ago
Read 2 more answers
The cost of in-state tuition at the University of Florida is $6,380 and is increasing at a rate of 3.1% per year. Write and use
baherus [9]

Answer:

$8145

Step-by-step explanation:

=6380(1+0.031)^8

=$8145

7 0
1 year ago
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