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3 years ago

Calculate the speed of a dog running through a yard covering 24m in 52s

Mathematics

1 answer:

MissTica3 years ago

7 0

2.16666... -Meters Per Second
About 4.8467- Miles Per Hour
About 7.8- Kilometer Per Hour

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Domain and Range Find the Domain and Range for each graph

sesenic [268]

Answer:

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Step-by-step explanation:

4 0

2 years ago

Find the value of the 100th and 1000th term in the sequence { 3,-5,7,-9,...}

pogonyaev

The value of 100th is 201
and the value of 1000th is 2001

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2 years ago

At jim's juice factory, his machine can fill 300 juice boxes an hour. Each box holds 0.8 cups How many gallons of juice does jim

anygoal [31]

300 boxes
0.8 cup per box

300 * 0.8 cups = 240 cups

There are 16 cups in a gallon.

240/16 gal = 15 gal

Answer: 15

5 0

3 years ago

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Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equatio

lina2011 [118]

Answer:

The point of intersection is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

Step-by-step explanation:

We want to find the point in QI at which the line with the equation:

$y=0.5x+5$

Intersect a circle with a radius of 3 and a center of (0, 5).

First, write the equation of a circle. The equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is (0, 5), h = 0 and k = 5. The radius is 3. So, r = 3. Substitute:

$(x-0)^2+(y-5)^2=(3)^2$

Simplify:

$x^2+(y-5)^2=9$

At the point where the two equations intersect, its x-coordinate and y-coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for x. So:

$x^2+((0.5x+5)-5)^2=9$

Simplify:

$x^2+(0.5x)^2=9$

Square:

$x^2+0.25x^2=9$

Combine like terms:

$\displaystyle 1.25x^2=\frac{5}{4}x^2=9$

Solve for x:

$\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}$

Note that since we are looking for the point of intersection in QI, x should be positive. So, we can ignore the negative answer.

To find the y-coordinate, substitute the x-value back into either equation. Using the linear equation:

$\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34$

So, the point of intersection in QI is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

6 0

2 years ago

There are 18 cupcakes how many 3/4 size servings can u make

ehidna [41]

You can makeabout 17

5 0

3 years ago

Read 2 more answers