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alina1380 [7]
3 years ago
8

I’ve already started it but need to know how to do to see if I’m doing it right

Mathematics
1 answer:
Leni [432]3 years ago
8 0
(a) put in t = 3 into the r(t) equation provided. Answer will be in gigameters

(b) Use the value of r(t) found in part (a) in the surface area of a sphere equation. S = 4(pi)r² Answer, S will be in units Gm²

(c) This is saying put the equation r(t) into the equation S(r) to make a new equation S(t) or h(t) as they put it.
h(t) = 4(pi)(1.36t + 0.002)²

(d) Put t = 3 into the new equation. Answer will agree with b
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X + 2y =6<br> X- y =3<br> Solution?
VikaD [51]
Since one equation has a negative y and the other has a positive y, I'm going to use those since they cancel each other out. Before that, the two y's need to be equal to each other.

x+2y=6
x-y=3

Multiply the bottom equation by two so then you have:

x+2y=6
2x-2y=6

The y's now cancel out:

x=6
2x=6

Add them together

3x=12

Divide

x=4.

To find y, plug x into either equation (*don't have to do both, but I will)

(4)+2y=6
(4)-y=3

Subtract four

2y=2
-y=-1

Divide each

2y/2 = 2/2
y=1

-y/-1 = -1/-1
y=1

The answer is:
x=4
y=1

I hope that helps!
4 0
3 years ago
Read 2 more answers
W is the midpoint of VX. What is VX if VW=2x+5 and WX =4x-3
Novosadov [1.4K]

Answer:

<h2>VX = 26</h2>

Step-by-step explanation:

If W is the midpoint of VX then VW = WX. Therefore we have the equation:

2x + 5 = 4x - 3          <em>subtract 5 from both sides</em>

2x = 4x - 8       <em>subtract 4x from both sides</em>

-2x = -8        <em>divide both sides by (-2)</em>

x = 4

VX = VW + WX

VX = 2x + 5 + 4x - 3 = (2x + 4x) + (5 - 3) = 6x + 2

Put the value of x = 4 to 6x + 2:

VX = 6(4) + 2 = 24 + 2 = 26

7 0
3 years ago
Square of 96 by division method​
Serjik [45]

Answer:

the square of 96 by division method is

96  \times 96 = 9216

3 0
3 years ago
Use the Midpoint Rule with n = 5 to estimate the volume V obtained by rotating about the y-axis the region under the curve y = 1
velikii [3]

Using the shell method, the volume is given exactly by the definite integral,

2\pi\displaystyle\int_0^1x(1+9x^3)\,\mathrm dx

Splitting up the interval [0, 1] into 5 subintervals gives the partition,

[0, 1/5], [1/5, 2/5], [2/5, 3/5], [3/5, 4/5], [4/5, 5]

with left and right endpoints, respectively, for the i-th subinterval

\ell_i=\dfrac{i-1}5

r_i=\dfrac i5

where 1\le i\le5. The midpoint of each subinterval is

m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}{10}

Then the Riemann sum approximating the integral above is

2\pi\displaystyle\sum_{i=1}^5m_i(1+9{m_i}^3)\frac{1-0}5

\dfrac{2\pi}5\displaystyle\sum_{i=1}^5\left(\frac{2i-1}{10}+9\left(\frac{2i-1}{10}\right)^4\right)

\dfrac{2\pi}{5\cdot10^4}\displaystyle\sum_{i=1}^5\left(16i^4-32i^3+24i^2+1992i-999\right)=\frac{112,021\pi}{25,000}\approx\boxed{14.08}

(compare to the actual value of the integral of about 14.45)

3 0
3 years ago
What is the best next step in the construction of a line that passes through point B and is perpendicular to line a?
Dennis_Churaev [7]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
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