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natali 33 [55]
3 years ago
15

Lily has walked 2 miles. Her goal is to 6 miles. Lily plans to reach her goal by walking 3 miles each hour h for the rest of her

walk.
Mathematics
1 answer:
suter [353]3 years ago
4 0

Step-by-step explanation:

if she did that she would have walked 36 miles multipy all of the numbers and theres ur answer i think i am so tired so if its wrong i am sooo sorry i havent slept in two days.... hope u have a better day than mine

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A golfball is hit from the ground with an initial velocity of 200 ft/sec. The horizontal distance that the golfball will travel,
algol13

Answer:

The golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of \pi/4.

Step-by-step explanation:

The formula from the maximum distance of a projectile with initial height h=0, is:

d(\theta)=\frac{v_i^2sin(2\theta)}{g}

Where v_i is the initial velocity.

In the closed interval method, the first step is to find the values of the function in the critical points in the interval which is [0, \pi/2]. The critical  points of the function are those who make d'(\theta)=0:

d(\theta)=\frac{v_i^2\sin(2\theta)}{g}\\d'(\theta)=\frac{v_i^2\cos(2\theta)}{g}*(2)\\d'(\theta)=\frac{2v_i^2\cos(2\theta)}{g}

d'(\theta)=0\\\frac{2v_i^2\cos(2\theta)}{g}=0\\\cos(2\theta)=0\\2\theta=\pi/2,3\pi/2,5\pi/2,...\\\theta=\pi/4,3\pi/4,5\pi/4,...

The critical value inside the interval is \pi/4.

d(\theta)=\frac{v_i^2sin(2\theta)}{g}\\d(\pi/4)=\frac{v_i^2sin(2(\pi/4))}{g}\\d(\pi/4)=\frac{v_i^2sin(\pi/2)}{g}\\d(\pi/4)=\frac{v_i^2(1)}{g}\\d(\pi/4)=\frac{(200)^2}{32}\\d(\pi/4)=\frac{40000}{32}\\d(\pi/4)=1250ft

The second step is to find the values of the function at the endpoints of the interval:

d(\theta)=\frac{v_i^2sin(2\theta)}{g}\\\theta=0\\d(0)=\frac{v_i^2sin(2(0))}{g}\\d(0)=\frac{v_i^2(0)}{g}=0ft\\\theta=\pi/2\\d(\pi/2)=\frac{v_i^2sin(2(\pi/2))}{g}\\d(\pi/2)=\frac{v_i^2sin(\pi)}{g}\\d(\pi/2)=\frac{v_i^2(0)}{g}=0ft

The biggest value of f is gived by \pi/4, therefore \pi/4 is the absolute maximum.

In the context of the problem, the golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of \pi/4.

4 0
3 years ago
How can we write 0.17 in words?
iragen [17]
Point seventeen or zero point seventeen
4 0
3 years ago
Read 2 more answers
Write the following equation in slope-intercept form. State the slope and y-intercept.
posledela

Answer:

y = -2x-7/9

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y intercept.  Start by solving for y.

-18x-9y=7

-9y=18x+7 (divide through by -9)

y=-2x-7/9

3 0
2 years ago
Taylor and his Dad plan to build a deck on the back of their house. First, they make a scale drawing of thet deck. The scale is
Ann [662]

Question:

Taylor and his Dad plan to build a deck on the back of their house. First, they make a scale drawing of the deck. The scale is 1.25 inches = 2 feet.

This is the drawing: the scale drawing deck is 17 by 11

Using this drawing, enter the length, in feet, Taylor must use for the deck?Answer:

The length, Taylor must use for the deck is 27 .2 feet

Step-by-step explanation:

Given:

The dimensions  of the deck  =  17  by 11

Scale  =   1.25 inches = 2 feet.

To Find:

The length, in feet, Taylor must use for the deck

Solution:

According to the  scale

1.25 inches = 2 feet

Then

1 inch  = \frac{2}{1.25}

The length of the deck  =  17 inches

So 17  inches = 17 \times \frac{2}{1.25}

17 inches = 27.2 feet

5 0
4 years ago
Jake goes to School every 4 days and private School every 6 days. If he goes to both on October 3rd, on what date will he go to
Paladinen [302]

Answer:

The 15th of October

Step-by-step explanation:

Its the 15 of october because is you add 4 three times it adds up to wen 6 is added twice

7 0
4 years ago
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