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mestny [16]
4 years ago
10

Please please answer this correctly

Mathematics
1 answer:
IRINA_888 [86]4 years ago
8 0

Answer:

d= 71518 kilometers

Explanation:

A diameter is twice the radius. Here, we can use the formula d=2r (d=diameter r=radius)

If we substitute the formula, we have

d=2(35795)

After multiplying:

d=71518 kilometers

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The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0
3 years ago
Whats the answer to -x² +6x + 18 = 0
emmainna [20.7K]

Answer:

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -6 = -6  

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   2 .

3 0
3 years ago
Read 2 more answers
an initial investment of $480 earns interezt for 7 years in an account that earns 13% interest, compounded quarterly. Find the a
Travka [436]

Answer:

$1,175.34

Step-by-step explanation:

To solve for the total amount after 7 years. We need to use the formula:

A = P(1+\dfrac{r}{n})^{nt}

Let's first break down all the variables that we have.

P = 480

r = 13% or 0.13

n = 4 (Quarterly)

t = 7 years

Now we simply substitute the values into the formula.

A = P(1+\dfrac{r}{n})^{nt}

A = 480(1+\dfrac{0.13}{4})^{4(7)}

A = 480(1+\dfrac{0.13}{4})^{28}

A = 480(1+0.0325)^{28}

A = 480(1.0325)^{28}

A = 480(2.45)

A = $1,175.34

The account will have $1,175.34 after the 7 year period.

7 0
3 years ago
Divide.<br> 1.95 -0.5<br> please answer asap:(
mr_godi [17]

Answer:

Step-by-step explanation:

3.9

5 0
3 years ago
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Deon measure the volume of a sink basin by modeling it as a hemisphere. Déon
ludmilkaskok [199]

Answer:

meow

Step-by-step explanation:

8 0
3 years ago
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