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2 years ago

Please help I need this please help please just me help

Mathematics

1 answer:

Nikitich [7]2 years ago

3 0

Answer:

It would take 4 minutes.

Step-by-step explanation:

Step 1: divide 63 by 3 to get how many hotdogs the champion can eat in a minute which equals 21

Step 2: Divide 84 by 21 to get 4 minutes

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A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?

alukav5142 [94]

4000(1.05)⁴=$4862.03

6000(1+ .08/2)^35(2)=$93429.71

15450(.86)³=$9827.07

8 0

2 years ago

Read 2 more answers

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

2 years ago

Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faste

Andrews [41]

Answer:

Mai was moving faster.

As, she covered a greater distance in the same amount of time.

Step-by-step explanation:

Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.

Calculate the speed of both;

Speed defined as the rate at which an object covers distance.

$Speed = \frac{Distance}{Time}$

Mai traveled 15 meters in 6 seconds

then;

Speed = $\frac{15}{6} = 2.5 m/s$

Priya travels 22 meters in 10 second.

then;

Speed = $\frac{22}{10} = 2.2 m/s$

Reason: Mai traveled faster because she covered a greater distance in the same amount of time.

7 0

2 years ago

Find f (2b^2) for (x)=x^2-4x

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

We are given the function:

$f(x) = x^2 - 4x$

And we want to find:

$\displaystyle f(2b^2)$

Substitute:

$\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)$

And evaluate:

$\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}$

In conclusion, our answer is A.

7 0

2 years ago

Geometrical prove that limit X tends to zero sin x by X equals to 1 various is measured in radian

11111nata11111 [884]

$lim \frac{ \sin(x) }{x} = 1 \\$

It is true only whenever x tends to 0(zero)

it is not importent that x be in radian or in degree.

7 0

2 years ago