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weeeeeb [17]
3 years ago
8

H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 1

5 What is the height of the stone at the time it is thrown?
Mathematics
1 answer:
kkurt [141]3 years ago
5 0

Answer:

15 units

Step-by-step explanation:

Given the equation which models the path of a stone as:

H(x)=-5x^2+10x+15

At the time when the stone was thrown

x=0

Therefore:

H(0)=-5(0)^2+10(0)+15\\H(0)=15

The height of the stone at the time it is thrown is 15 units.

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The longest side of a triangle similar XYZ is 39 units long. Find the other side lengths of the triangle.
Neporo4naja [7]

Answer:

The side lengths are 30, 36 and 39.

Step-by-step explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

\frac{13}{39}=\frac{12}{y}

Find y by cross multiplying numerator and denominator of each fraction.

13y = 39(12)

13y = 468

y = 36

Find the other missing side by repeating the process.

\frac{13}{39}=\frac{10}{y}

Find y by cross multiplying numerator and denominator of each fraction.

13y = 39(10)

13y = 390

y = 30

The side lengths are 30, 36 and 39.

3 0
3 years ago
PLEASE ANSWER QUICKLY I WILL GIVE BRAINIEST
ElenaW [278]

Answer:

is the angle of elevation from the boat to the lighthouse.

Step-by-step explanation:

From the boat, the angle through which you will raise your head to see the light house is the angle of elevation, which is .


See graph for the illustration.

The correct answer is A


4 0
3 years ago
Read 2 more answers
An office needs 300 envelopes. If there are 30 envelopes in each box, how many boxes should the office buy?
Mila [183]

Answer:

they should buy 10 boxes

Step-by-step explanation:

300/30 = 10

7 0
3 years ago
Read 2 more answers
A bag contains 20 marbles. The probability of picking a yellow marble is 3/4. How many marbles are yellow?
emmasim [6.3K]
15 because 3/4 is equivalent to 75% and 75% of 20 is 15.
8 0
4 years ago
Read 2 more answers
Occasionally an airline will lose a bag. Suppose a small airline has found it can reasonably model the number of bags lost each
julia-pushkina [17]

Answer:

a) The probability that the airline will lose no bags next monday is 0.1108

b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227

c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2

Step-by-step explanation:

The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula

P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}

a)

P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108

The probability that the airline will lose no bags next monday is 0.1108.

b) Note that P(X \in \{0,1,2\} = P(X=0) + P(X=1) + P(X=2) . And

P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227

Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.

c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.

6 0
3 years ago
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