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Lelu [443]
3 years ago
12

Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, R, in beats per minute,

can be approximated by the formulas
R=143-0.65a for women
R=165-0.75a for men,

where a represents the person’s age. If the desirable heart rate for a man is 135 beats per minute, how old is he?
a.22.5 years old
b.40 years old
c.45 years old
d.42.5 years old



Evaluate the function
f(x)=1/2x+3

for f(4).
a. 5
b. 9
c. 11
d. 14
Mathematics
1 answer:
yan [13]3 years ago
6 0

we are given with two equations: R=143-0.65a for women and R = 165-0.75a for men. In this prblem we are asked the age of a man when R is equal to 135. In this case, we use the second equation and substitute R with 135. In this case, 135 = 165 - 0.75 a; a is equal then to 40 yrs old. In 2, when x is equal to 4, then 0.5*4 + 3 is equal to 5. 
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4 0
2 years ago
1. Dolores is on a bridge that is 42 feet above a lake. What is the distance from Dolores to the boat? G​
mrs_skeptik [129]

Answer:

See answer below

Step-by-step explanation:

You are missing data such as the angle of the boat next to Dolores. I found an exercise similar to this, and I'm going to show it here and use the missing data to show you how to do it:

<u>Dolores is on a bridge that is 45 feet above a lake. She sees a boat at a 30 degree angle of depression. What is Dolores' approximate horizontal distance from the boat?</u>

<u></u>

According to that, I will use the angle of 30° to do this, but the distance of 42 feet.

Now, we can see this as a triangle. Dolores is on a bridge 42 feet above a lake, this 42 feet distance should be one side of the triangle (The vertical forming the 90° angle), and the boat that is on the lake, is seen with an angle of 30°. So the distance of the boat, to the spot where dolores is, under the bridge would be the horizontal side.

With this, we have the opposite side (a) and the adyacent side (b) of the triangle, and we have the angle, therefore:

tanα = a/b

Replacing we have:

tan30° = 42/b

b = 42 / tan30°

b = 72.75 feet

Hope this helps

4 0
3 years ago
The points in the table lie on a line. Find the slope of the line
yawa3891 [41]

Answer:

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4 0
2 years ago
Read 2 more answers
When f(x) = -3, what is x?
julia-pushkina [17]

Answer:

not enough info

Step-by-step explanation:

f times x equals -3 there could be many answers like f is 1 x is -3 or f is -3 x is 1 and more

3 0
2 years ago
how much must you deposit in an account that pays 8% annual interest compounded monthly to have a balance of $1,000 after one ye
strojnjashka [21]

Answer:

\$923.36  

Step-by-step explanation:

we know that

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=1\ year\\ A=\$1,000\\ r=0.08\\n=12  

substitute in the formula above  and solve for P

\$1,000=P(1+\frac{0.08}{12})^{12*1}  

P=\$1,000/(1+\frac{0.08}{12})^{12*1}=\$923.36  

5 0
3 years ago
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