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Aloiza [94]
3 years ago
5

Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually

plans to stop and rest for about 15 minutes.
Complete the equation below to find the total number of minutes (including rest) that Spencer should plan to be out biking. Use to represent the total minutes.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

60 minutes including the 15 minute rest.

Step-by-step explanation:

450/10 is 45. Therefore, biking for 45 minutes will loose 450 calories, 10 calories per minute.  Maybe half way during the 45 minutes Spencer will take the 15 minute rest. This brings the biking trip 60 minutes.

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
2 years ago
What is the solution for the equation -15=5(3y-10)-5y
marissa [1.9K]

Answer:

  • \Large\boxed{\sf{y=\dfrac{7}{2} }}

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

<u>First, switch sides.</u>

\sf{5\left(3y-10\right)-5y=-15}

Use the distributive property.

<u>DISTRIBUTIVE PROPERTY:</u>

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}

  • <u>Therefore, the correct answer is y=7/2.</u>

I hope this helps. Let me know if you have any questions.

7 0
2 years ago
A cylinder with a radius of 4 yd and a volume of 80yd (find the height)
Afina-wow [57]

Answer:

Height of the cylinder = 1.60yd

Step-by-step explanation:

Volume of a cylinder =

V = πr^2h

V - volume of cylinder

π - 3.142

r - radius of cylinder

h - height of cylinder

We are provided with

V - 80

r - 4

π - 3.142

h - ?

80 = 3.142 * 4^2 * h

80 = 50.272 * h

To find h, divide both sides by 50.272

80/50.272 = 50.272h/ 50.272

1.599 = h

h = 1.60yd

7 0
3 years ago
Read 2 more answers
Yoo wsg whats he units please tell meeee
dimaraw [331]

Answer:

wsp, answer is 5,5 i'm pretty sure

Step-by-step explanation:

or its 0.5

6 0
2 years ago
Find the missing side length of the right triangle
mr_godi [17]
B) 29
Because 20^2+21^2=c^2
7 0
2 years ago
Read 2 more answers
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