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AveGali [126]
3 years ago
11

If f(x)=4x+8find f(5)f means function

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

The answer i pretty sure would be 3x

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A screening of 1,250 teenage boys shows 15 have high blood pressure. What is the probability a teenage boy will have high blood
Lyrx [107]
To find this just divide 15 by 1250 and get <span>0.012
to find the percent just multiply </span><span>0.012 by 100 : 1.2%
the answer is 1.2%</span>
4 0
3 years ago
The sum of two numbers is 23, and one half their product is 65. What are the numbers?
zysi [14]
It’s 13 and 10. Since half of the product is 65 when it’s doubled you have 130, so basically you just to trial and error to get two numbers that add to 23 but multiple to get 130
6 0
3 years ago
Two consecutive numbers whose squares differ by 25
yaroslaw [1]
<span>An example of this might be 7 and 8. 7 multiplied by 7 to find the square root is 59, and 8 multiplied by 8 to find the square root is 64. 64 subtract 49 equals 25, so there you have your answer.</span>
6 0
4 years ago
Please help Ladder question!!
PIT_PIT [208]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is going to be Pythagorean's Theorem and then the derivative of that. Pythagorean's Theorem is

x^2+y^2=c^2 where c is the hypotenuse and is a constant. Therefore, the derivative of this with respect to time, and using implicit differentiation is

2x\frac{dx}{dt}+2y\frac{dy}{dt}=0 and dividing everything by 2 to simplify a bit:

x\frac{dx}{dt}+y\frac{dy}{dt}=0. Upon analyzing that equation, it looks like we need values for x, y, \frac{dx}{dt}, and \frac{dy}{dt}. And here's what we were given:

\theta=45 and \frac{dx}{dt}=.5  In the greater realm of things, that's nothing at all.

BUT we can use the right triangle and the angle we were given to find both x and y. The problem we are looking to solve is to

Find \frac{dy}{dt} at the instant that \frac{dx}{dt} = .5.

Solving for x and y:

tan45=\frac{x}{6} and

6tan45 = x ( and since this is a 45-45-90 triangle, y = x):

6(\frac{\sqrt{2} }{2})=x=y so

x=y=3\sqrt{2} and now we can fill in our derivative. Remember the derivative was found to be

x\frac{dx}{dt}+y\frac{dy}{dt}=0 so

3\sqrt{2}(\frac{1}{2})+3\sqrt{2}\frac{dy}{dt}=0 and

\frac{3\sqrt{2} }{2}+3\sqrt{2} \frac{dy}{dt}=0 and

3\sqrt{2}\frac{dy}{dt}=-\frac{3\sqrt{2} }{2} and multiplying by the reciprocal of the left gives us:

\frac{dy}{dt}=-\frac{3\sqrt{2} }{2}(\frac{1}{3\sqrt{2} }) so

\frac{dy}{dt}=-\frac{1}{2}\frac{m}{s}

8 0
3 years ago
A lake is 200 feet wide. Two boats start to move towards one another from opposite shores. In one minute, the first boat goes 40
NARA [144]

Answer:

I use faction

Step-by-step explanation:

The first boat.

\frac{40 feet}{60 seconds} ÷ 10 = \frac{4 feet}{6 seconds}

\frac{4 feet}{6 seconds} ÷ 2 = \frac{2 feet}{3 seconds}

The first boat move \frac{2 feet}{3 seconds}

The second one do the same

\frac{30 feet}{60 seconds} ÷ 10 = \frac{3 feet}{6 seconds}

\frac{3 feet}{6 seconds} ÷ 2 = \frac{1.5 feet}{3 seconds}

That is the speed of each boat.

The first boat need 50 minutes to get to the other side

2000 ÷ 2 =1000

1000 x 3 = 3000

3000 ÷ 60 = 50

The second boat need 66.6666666667 minutes to get to the other side

200 ÷1.5 = 1333.33333333

1333.33333333 x 3 = 4000

4000 ÷ 60 = 66.6666666667

8 0
3 years ago
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