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AveGali [126]
2 years ago
6

Find the equation of the surface. the bottom hemisphere of a sphere centered at (8, -7, 0) with radius 10.

Mathematics
1 answer:
Romashka [77]2 years ago
7 0
The equation of the sphere is
.. (x -8)^2 +(y +7)^2 +z^2 = 10^2

Then the bottom hemisphere has the equation
.. z = -√(100 -(x -8)^2 -(y +7)^2)
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Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Stree
Ilya [14]
The hypotenuse of the way that they have taken is equal to 2 miles. Jogging this distance with a rate of 5 miles per hour will take Jesse 0.4 hours. Further, for Mark to be back to the starting point, the total distance covered is 2.75. Dividing the distance by 12 miles per hour, it will take Mark only 0.23 hours. Thus, Mark will reach the initial point first. 

 
4 0
2 years ago
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A baseball glove is on sale for $34.00, which is 15% off of its original price. What was the original price of the baseball glov
Y_Kistochka [10]

Answer: $40.00

Step-by-step explanation:

To find the original price, you would need to utilize the equation Original Price = Sales Price ÷ (1 - Discount). In this equation, Discount refers to the percentage of discount.

Original Price = $34.00 ÷ (1 - 0.15)

Original Price = $34.00 ÷ (0.85)                      

Original Price = $40.00

3 0
2 years ago
At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima
Firdavs [7]
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
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7 0
2 years ago
Solve the following quadratic equation using the quadratic formula and then choose the correct solution set. 6x2 - 7x + 2 = 0
gtnhenbr [62]
<span>6x^2 - 7x + 2 = 0
(3x-2)(2x-1) = 0

</span>3x-2 = 0
x = 2/3

2x-1=0
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answer: x=1/2 and x =2/3
4 0
2 years ago
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Instead of having 1.5 times as many pink flowers as white flowers, molly has decided to plant a garden with twice as many pink f
harkovskaia [24]

Answer:

Row 1 = 2 white flowers

Row 2 = 3 white flowers

Row 3 = 4 white flowers

Step-by-step explanation:

Instead of having 1.5 times as many pink flowers as white flowers, Molly has decided to plant a garden with twice as many pink flowers as white flowers per row. If she plants 3 rows, with 4, 6, and 8 pink flowers, how can you find the number of white flowers in each of those rows?

Let

White flowers = x

Pink flowers = 2x

Molly plants 3 rows with 4, 6 and 8 pink flowers

Number of white flowers in each row is

Row 1

Pink flowers = 4

2x = 4

Divide both sides by 2

x= 2

White flowers = 2 in row 1

Row 2

Pink flowers = 6

2x=6

Divide both sides by 2

x= 3

White flowers in row 2 = 3

Row 3

Pink flowers = 8

2x=8

Divide both sides by 2

x= 4

White flowers in row 3 = 4

Therefore, the number of white flowers in each rows are 2, 3 and 4 respectively

4 0
2 years ago
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