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In-s [12.5K]
3 years ago
10

Which statement describes the slope of a graph of the data

Mathematics
2 answers:
vlabodo [156]3 years ago
7 0

Answer:

slope is the rate of change.

Step-by-step explanation:

Naetoosmart2 years ago
0 0

if you are talking about the Rohit question then the answer is B)

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Find the equation of the sphere centered at (2,−9,1) with radius 2. 4 = (x-2)+(y+9)+(z-1). Give an equation which describes the
Monica [59]

Answer:

See explanation

Step-by-step explanation:

The equation of the shpere canterd at point (a,b,c) with radius R is

(x-a)^2+(y-b)^2+(z-c)^2=R^2

The center of the sphere is (2,-9,1), the radius is 2, then the equation is

(x-2)^2+(y+9)^2+(z-1)^2=2^2\\ \\(x-2)^2+(y+9)^2+(z-1)^2=4

Now, find the intersection of this sphere with the plane z=2. Substitute 2 instead of z into the sphere equation:

(x-2)^2 +(y+9)^2+(2-1)^2=4\\ \\(x-2)^2+(y+9)^2+1=4\\ \\(x-2)^2+(y+9)^2=3

This is the equation of the circle lying in the plane z=2 with center at (2,-9,2) and radius \sqrt{3}.

8 0
4 years ago
A watermelon is launched from a 25-foot tall platform at a carnival. The watermelon's height h (in feet) at time t seconds can b
Nataly [62]

Answer:

The maximum height of the watermelon is 74 feet.

Step-by-step explanation:

The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:

v(t) = \frac{d}{dt} h(t) (1)

Where v(t) is the velocity, in feet per second.

If we know that h(t) = -16\cdot t^{2}+56\cdot t +25 and v(t) = 0\,\frac{ft}{s}, then the time associated with maximum height is:

v(t) = -32\cdot t +56 (2)

-32\cdot t + 56 = 0

t = 1.75\,s

Now we evaluate the function height at time found in the previous step: (t = 1.75\,s)

h(t) = -16\cdot t^{2}+56\cdot t +25

h(1.75) = 74\,ft

The maximum height of the watermelon is 74 feet.

5 0
3 years ago
What is the LCM of 2, 10, and 6
LenKa [72]

Answer:

30

Step-by-step explanation:

30 is the smallest number that all of the numbers divide into evenly.

30 ÷ 2 = 15

30 ÷ 10 = 3

30 ÷ 6 = 5

hope this helped!

3 0
3 years ago
<1 and <2 are vertical angles. If the measure of <2 is 105°, find the measure of <1.
umka21 [38]

Answer:

105°

Step-by-step explanation:

This is most likely the answer if the lines are perpendicular... But if It doesn't give you an image of the 2 angles, then the answer is 105°

3 0
3 years ago
Read 2 more answers
Which quadratic equation has roots - 2 and 1/5 :
Sladkaya [172]

Answer:

5 {x}^{2}  \:  +  \: 8x \:  - 2 \:  =  \: 0

Step-by-step explanation:

sum \: of roots =  - 2 +  \frac{1}{5}  = - \frac{8}{5}  \\ product \: of \: roots =  - 2 \times  \frac{1}{5}  =  -  \frac{2}{5}  \\ from \: general \: equation \\ a {x}^{2}  + bx + c = 0 \\  {x}^{2}  +  \frac{8}{5} x  \: -   \frac{2}{5}  = 0 \\ 5 {x}^{2}   \:  +  \: 8x \:  - 2 \:  =  \: 0

7 0
3 years ago
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