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pishuonlain [190]
3 years ago
9

Anya says, 62,996 rounds to 63,000 select all the places to which she could have rounded the number

Mathematics
1 answer:
OLga [1]3 years ago
6 0

<span>She could round this number may it be in the tens and hundreds place. When rounding off a number, one should consider the place of the digit he or she would like to round it off to. One should consider what number is placed at the right of the rounding number. If the number is below 5, then that digit should remain and the rest of the digits to the right should be turned to 0s. </span>

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What are the zeros of x^2-5x-1
nexus9112 [7]
The zeros is another name for solutions.

x^2 - 5x - 1 = 0

You must use the quadratic formula to find x.

In the formula, a = 1, b = -5 and c = -1.

Plug into formula and solve for x.

The values of x are the zeros of the function.
3 0
3 years ago
A park measures 85.5 square yards. A family rents 3/10 of that area to host a birthday party. How large is the area that the fam
motikmotik

Answer:

25.65 square yards

Step-by-step explanation:

The area is 85.5 yd^2

He rents 3/10ths

Multiply the area  by the fractional part he rents

85.5 * 3/10

256.5/10

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3 years ago
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Calculation: One score is 20. Two score is 40. Three score and 5 is 65.
wariber [46]

Answer:

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2 years ago
Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8
Dima020 [189]

Let f(x,y,z)=x+y+z-8e^{xyz}. The tangent plane to the surface at (0, 0, 8) is

\nabla f(0,0,8)\cdot(x,y,z-8)=0

The gradient is

\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)

so the tangent plane's equation is

(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by t, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

(1,1,1)t+(0,0,8)=(t,t,t+8)

or x(t)=t, y(t)=t, and z(t)=t+8.

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0
3 years ago
If a card is picked at random from a standard 52-card deck, what is the probability of getting a spade or a 8
g100num [7]

Answer:

1/4, 25%, or 0.25

Step-by-step explanation:

Therefore, as each suit contains 13 cards, and the deck is split up into 4 suits, that leaves us with a 13/52 chance to pick a spade.

That fraction is equivalent to 1/4, so that leaves us with a probability of picking a spade at:

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8 0
3 years ago
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