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3 years ago

(6h + 8) - (3h + 2) = 15 PLEASE HELP I ALSO NEED TO SHOW WORK

Mathematics

2 answers:

olga55 [171]3 years ago

6 0

Answer:

h=3

Step-by-step explanation:

1 Remove parentheses.

6h+8-3h-2=156h+8−3h−2=15

2 Simplify 6h+8-3h-26h+8−3h−2 to 3h+63h+6.

3h+6=153h+6=15

3 Subtract 66 from both sides.

3h=15-63h=15−6

4 Simplify 15-615−6 to 99.

3h=93h=9

5 Divide both sides by 33.

h=\frac{9}{3}h=

Anestetic [448]3 years ago

5 0

Answer:

$h=3$

Step-by-step explanation:

So we have the equation:

$(6h+8)-(3h+2)=15$

First, let's distribute the negative:

$(6h+8)+(-3h-2)=15$

Combine like terms:

$(6h-3h)+(8-2)=15$

Subtract or add:

$3h+6=15$

Subtract 6 from both sides:

$3h=9$

Divide both sides by 3:

$h=3$

And we're done!

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Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f

Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

$P(A) = 0.1*0.8 + 0.25*0.2 = 0.13$

Probability that a student is foreign and undergraduate:

10% of 80%. So

$P(A \cap B) = 0.1*0.8 = 0.08$

What is the probability that the student is an undergraduate?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154$

0.6154 = 61.54% probability that the student is an undergraduate

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3 years ago

Vanessa throws a tennis ball in the air. The function h(t) = -15t2 + 45t + 10 represents the distance in feet, that the ball is

Step2247 [10]

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

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t = 45/30

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t = 1.5secs

Substitute t = 1.5 into the expression given

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h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet

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3 years ago

Simplify 1- cos^2 Θ / cos^2 Θ<br><br> Answers<br><br> sin2 θ<br><br> cos2 θ<br><br> tan2 θ<br><br> 1

Tems11 [23]

Answer:

<u>Trigonometric identities</u>

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2 years ago

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The speedometer in Henry's car is broken. The function y = |x - 8| represents the difference y between the car's actual speed x

Alekssandra [29.7K]

The interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

<h3>How to describe the translation. </h3>

The function is given as:

y = |x - 8|

The above function is an absolute function.

And the parent function of an absolute function is

y = |x|

When a function is translated right by h units, the new function is y = |x - h|

This means that the translation is a translation to the right by 8 units

See attachment for the graph the function.

<h3>Interpret the function and the translation in terms of the context of the situation.</h3>

The function is given as:

y = |x - 8|

This represents the difference y between the car's actual speed x and the displayed speed.

So, the interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8