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2 years ago

Simplify the sum. (7u^3 + 8u^2 + 7) + (8u^3 – 3u + 7)

Mathematics

2 answers:

Maslowich2 years ago

6 0

Answer:

15u^3 + 8u^2 - 6u + 13

Step-by-step explanation:

(7u^3 + 8u^2 + 8) + (8u^3 - 6u + 5)

= 7u^3 + 8u^2 + 8 + 8u^3 - 6u + 5

= 7u^3 + 8u^3 + 8u^2 - 6u + 5 + 8

*Now add the like terms

= 15u^3 + 8u^2 - 6u + 13

And that is all your can do!

mihalych1998 [28]2 years ago

3 0

15u^3 +8u^2 - 3u + 14

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Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).

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2 years ago

Someone help me please:)

Kryger [21]

Answer:

a. The time to strike the ground is 5 seconds

b. The time for the ball to be over than 96 ft is 1 second

Step-by-step explanation:

a. When the ball thrown vertically up ward to reach its maximum height at velocity = 0 then complete its motion vertically down ward to strike the ground its displacement = zero

∴ s(t) = 0 ⇒ $80t-16t^{2}=0$

∴ $16t(5 - t) = 0$

5 - t = 0⇒ ∴ t = 5 seconds

b. To tind the time that the ball will be over 96 ft over the ground substitute in $s(t)=80t-16t^{2}$

$96=80t-16t^{2}$

$16t^{2}-80t+96=0$

$16(t^{2}-5t+6)=0$

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2 years ago

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

S_A_V [24]

Answer:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

$X \sim N(123.8,3.1)$

Where $\mu=123.8$ and $\sigma=3.1$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

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2 years ago

How to find all possible functions with the given derivative ? If

Gre4nikov [31]

Answer:

a) $y = -\frac{1}{7}\cdot \cos 7\cdot t + C$ , b) $y = -\frac{1}{7}\cdot \cos 7\cdot t + 7\cdot \sin \left(\frac{t}{7}\right) + C$ .

Step-by-step explanation:

a) The antiderivative of $y' = \sin 7\cdot t$ is:

$y = -\frac{1}{7}\cdot \cos 7\cdot t + C$

b) The antiderivative of $y' = \sin 7\cdot t + \cos \left(\frac{t}{7}\right)$ is:

$y = -\frac{1}{7}\cdot \cos 7\cdot t + 7\cdot \sin \left(\frac{t}{7}\right) + C$

5 0

2 years ago