During Ms. Pepper's health class, you can calculate the recommended maximum heart rate using the formula M = 176 - have a you 0.8A. If M stands for the maximum heart rate, and A stands for a person's age, at what recommended maximum heart rate of 135 beats per minute? Round your answer to the nearest whole number. age would​

Answer:

CDA≈27,6°

Step-by-step explanation:

First we solve the x using pythagorean theorem

a^2+b^2=c^2

x^2+6^2=6.5^2

x^2+36=42.25      ||-36

x^2=42.25-36

x^2=6.25               ||√

√x^2=√6.25

x=2.5cm

now we can solve y

y = 23cm-9cm-2.5cm

y=11.5cm

now we can solve CDA angle with tanα

tanα=[tex]\frac{a}{b} \\[/tex]

tanα=6cm/11.5cm

α≈27,6°

Answer:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

➣

➣  _____(1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

➣

➣

Substitute, x = 96/y in equation 1,

➣

➣

➣

➣

➣

Divide by minus sign,

➣

➣

➣

➣

➣

➣

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

➣

➣

➣

➣

Step-by-step explanation:

2 ÷ 1= 2

Steps:

1- Divide

Answer:40

Step-by-step explanation:

Answer:

40 gallons

Step-by-step explanation:

8 minutes x 8 gallons per minute = 64

8 minutes x 3 gallons per minute = 24

64 - 24 = 40

Answer:

Step-by-step explanation:

There are 4 blue, 5 red and total of 9 marbles.

If two marbles are taken and we are looking for exactly one red, then it is:

Find the probability of each case:

Probability of exactly one red:

Answer:

x = -2 or -12

Step-by-step explanation:

That is the solution above

Answer:

Solution:

To solve this problem, subtract the like terms to obtain your answer.

Hence, the simplified expression is 5 + 9j.

The solution of the logarithmic equation provided using the log rule is,

[tex]x=-3[/tex]

When the base of the logarithm in an equality expression is same, then the number are directly compared to each other.

The given logarithmic equation in the problem is,

[tex]\log_7(x -4) = \log_7(4x +5)\\[/tex]

Compare the number for the same base as,

[tex](x-4)=(4x+5)[/tex]

Solve the equation further as,

[tex]4x-x=-4-5\\3x=-9\\x=\dfrac{-9}{3}\\x=-3[/tex]

Thus, the solution of the logarithmic equation provided using the log rule is,

[tex]x=-3[/tex]

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114

Answer:

no solution

Step-by-step explanation:

1. Observe problem

1-(1/8+1/12+1/2)

Make all common denominator

The Least common multiple of 8,12, and 2 is 24

1-((3+2+12)/24)=

1-17/24=

7/24

Therefore, 28 years make up 7/24 of his life.

Simplifying, he grows 4 years for every 1/24 of his life

4 times 24 is 96, so

Fred is 96 currently(that's pretty old)

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

Let the present age of Fred be x

Therefore,

According to the question,

[tex]\sf{ 1/8x + 1/12x + 1/2x + 28 = x }[/tex]

[tex]\sf{ (3x + 2x + 12x )/24 + 28 = x }[/tex]

[tex]\sf{ 17x/24 + 28 = x }[/tex]

[tex]\sf{ 28 = x - (17/24)x}[/tex]

[tex]\sf{ 28 = 24x - 17x/24 }[/tex]

[tex]\sf{28 = 7x/24 }[/tex]

[tex]\sf{ 28 = 7x/24}[/tex]

[tex]\sf{ 7x = 28 × 24}[/tex]

[tex]\sf{ x = 672/7}[/tex]

[tex]\sf{ x = 96\: years}[/tex]

[tex]\sf{\red{ Hence,\: The\: total\: age\: of\: Fred \:is \: 96\: years }}[/tex]

Answer:

[C] 29 Miles

Step-by-step explanation:

Given that the vessel sails 41 miles S 45° E.

We need to determine the how far south the vessel has sailed.

Let us use the Pythagorean theorem to find the distance of the vessel has sailed.

Thus, we have,

[tex]Cos 0= \frac{adj}{hyp}[/tex]

Substituting [tex]0 = 45[/tex]° , [tex]adj = x[/tex], and [tex]hyp = 41[/tex]

Hence, we get,

[tex]cos[/tex] [tex]45 = \frac{x}{41}[/tex]

Simplifying, we have,

[tex]0.71 = \frac{x}{41}[/tex]

Multiplying both sides by 41, we have,

[tex]29.11 = x[/tex]

Rounding off to the nearest integer, we have,

[tex]29 = x[/tex]

Thus, the vessel has sailed 29 miles South.

Therefore, Option C is the correct answer.

[RevyBreeze]

Answer:

It's the second option. You have it correct.

Answer:

Step-by-step explanation:

Verify by graphing.

All three given points (1, −6 ), (−2, 15) , (3, 30) appear on the last function's graph.

The solution is,  the slope of the line that passes through G(−3, 2) and

H(7, 2) is 0.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

given that,

G(−3, 2) and H(7, 2).

now, we have to find, the slope of the line that passes through G(−3, 2) and H(7, 2).

now, we know that,

Slope = (y2-y1) / (x2-x1)

here,

G(-3,2) = (x1,y1)

H(7,2) = (x2,y2)

Substitute these values to find the slope.

Slope = (2-2)/(7-(-3))

          = 0/10

          = 0

Hence, The solution is,  the slope of the line that passes through G(−3, 2) and  H(7, 2) is 0.

To learn more on slope click:

brainly.com/question/3605446

#SPJ2

Answer:

Step-by-step explanation:

[tex]\\ \rm{:}\rightarrowtail sin^245°-tan^260°+cos^290°[/tex]

[tex]\\ \rm{:}\rightarrowtail (\dfrac{1}{\sqrt{2}})^2-(\sqrt{3})^2+(0)^2[/tex]

[tex]\\ \rm{:}\rightarrowtail \dfrac{1}{2}-3+0[/tex]

[tex]\\ \rm{:}\rightarrowtail 1/2-3[/tex]

[tex]\\ \rm{:}\rightarrowtail -5/2[/tex]

Answer:

Step-by-step explanation:

4(n + 10) = 34

4n + 40 = 34

If you need the rest...

4n = -6

n = -6/4

Answer:

It's 7.5 in khan academy.

Step-by-step explanation:

Answer:

=−x5+5x4+125x2−625x

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

52 weeks in a year then multiply 15.40

Answer:

$803

Step-by-step explanation:

cost of electricity for 1 week = 15.40

⇒ cost of electricity for 1 day = 15.40 ÷ 7 = 2.20

⇒ cost of electricity for 365 days = 2.20 x 365 = 803

Answer:

17 1/4mph

Step-by-step explanation:

As you can see, Sarah rides her bike 5 3/4 in 1/3 hours. All you need to do is multiply 5 and 3/4 by 3 since it's thirds. 5x3=15. 3/4x3=9/4. 9/4= 2 1/4. 15+2 1/4= 17 1/4mph.

Answer:

wavelength = speed / frequency

3⋅108 / 2.5⋅1013 = wavelength

wavelength = 1.2⋅10−5 kilometres

hope that helped.

Step-by-step explanation:

wavelength = speed / frequency

3⋅108 / 2.5⋅1013 = wavelength

wavelength = 1.2⋅10−5 kilometres

hope that helped.

Rewrite the fractions to have a common denominator:

Juan: 31/7 x 3 = 93/21

Ari: 19/3 x 7 = 133/21

now you can subtract:

133/21 - 93/21 = 40/21 pounds = 1 and 19/21 pounds heavier

Answer:

8x^2 + 6xy - 5y^2 + 26

Step-by-step explanation:

See attached image.

Answer:

x - y = 4

Explanation:

I hope it's correct

answer:

x - y = 4

explanation:

[tex]\rightarrow \boxed{\frac{3^x}{3^y} = 81}[/tex]

[tex]\rightarrow \boxed{3^{x-y} = 81}}[/tex]

[tex]\rightarrow \boxed{3^{x-y} = 3^4}}[/tex]

[tex]\rightarrow \boxed{x-y = 4}[/tex]

Answer:

the answers u need are in the pics  can i get brainlist :(

Answer:

5.66 feet

Step-by-step explanation:

a^2 + b^2 = c^2

2^2 +b^2 = 6^2

square root of (36-4) = b

b= 5.66 feet

Answer:

5

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

First, let's set up a fraction of how much money she spent for fruit out of the total amount of money she spent.

[tex]\frac{9}{20}[/tex]

For a percentage, we need a fraction out of 100. To do this, we can multiply  the fraction by 5/5 (5*20=100). Notice we can only do this since 5/5 is equivalent to 1, so you are technically multiplying the fraction by 1.

[tex]\frac{9}{20}*\frac{5}{5}=\frac{45}{100}[/tex]

A percentage is just the numerator of a number over 100 therefore it is equal to...

45%

Answer: 12 yearly admissions and 38 single admissions

Step-by-step explanation:

Let x be yearly membership

Let y be single admission

x+y=50 --> # of tickets sold

35.25x+6.25y=660.50 --> $ of tickets

Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)

-3525x-3525y=-176250

+  3525+625y=66050

-----------------------------------

-2900y=-110200

y=38

Substitute y=38 into equation 1

x+38=50

x=12

Therefore, 12 yearly admissions and 38 single admissions were sold

Answer:

total number of marbles = 10

number of red marbles = 4

p(blue) = 3/10

number of blue marbles = 3

p(red) = 2/5