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Roman55 [17]
3 years ago
5

Find 46 percent of 80

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0
36.8
..................................................................................
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Find the equation of the line parallel to y=2x+1 that contains point (14,3)
Sophie [7]

First of all, remember what the equation of a line is:

y=mx+b

Where: 

m=slope

b=y-intercept.

Given this information, we can start by plugging in what we know, we are given the slope which is 2 so we can fill that in, remember m=slope

y=2x+b

To find b, think about what your (x,y) point means:<span>(14,3). When x of the line is 14, y of the line must be 3.

Because we were given the point (14,3) 
</span>

We need to find the value of b.  The 2 is already set and x and y are variables. We want the equation for the line that specifically passes through the given point (14,3).

<span>Plug in for x the number 14 and for y the number 3:
</span>(14,3).
 y=mx+b or 3=2 × 14+b,

solving for b: b=3-(2)(14). b=-25.

<span>Plug that in for b: 
</span><span>y=2x-25
<span>Final answer: 
</span><span>y=2x-25</span></span><span><span>
</span></span>
8 0
3 years ago
A student scores 83, 90, and 85 on the first three science tests of the year in order to have a test average of at least 87, the
Evgesh-ka [11]
Hope you find this helpful!

5 0
3 years ago
A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
V125BC [204]
<h3>Given:</h3>
  • h= 8 yd
  • r= 3 yd
<h3>Note that:</h3>
  • h= Height
  • r= Radius
<h3>To find:</h3>

The volume of the given cone.

<h3>Solution:</h3>

\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}

\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}

Let's solve!

Substitute the values according to the formula.

V= \frac{1}{3}×3.14×{3}^{2}×8

\large\boxed{V= 75.36 \: {yd}^{3}}

<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>is</u><u> </u><u>75.36</u><u> </u><u>cubic</u><u> </u><u>yards</u><u>.</u>

7 0
2 years ago
Which of the following is the rule for the geometric sequence 1, 3, 9, 27, . . .?
Serhud [2]

Answer:

a(n) = 1 \times  {3}^{n - 1}

Step-by-step explanation:

  • We started at 1
  • And it seems that index after index it multiplies by 3
  • The formula for the geometric sequence defined implicitly is a(n) =a(1)r^(n-1)

a(n) = a(1) {r}^{n - 1}  \\  a(n) = 1 \times  {3}^{n - 1}

6 0
3 years ago
Marilyn knows that she needs $45,000 for a down payment on a house. She found an investment that earns 3.15% interest compoundin
laila [671]
She should save $38,450.39.

The formula for the amount of money in an interest-bearing account that is compounded is

A=p(1+\frac{r}{n})^{nt}

where A is the total amount in the account, p is the amount of principal invested, r is the interest rate as a decimal number, n is the number of times per year interest is compounded, and t is the number of years.  Using our information we have:

45000=p(1+\frac{0.0315}{12})^{12\times5}&#10;\\&#10;\\45000=p(1.002625)^{60}

Divide both sides:
\frac{45000}{1.002625^{60}}=\frac{p(1.002625)^{60}}{1.002625^{60}}&#10;\\&#10;\\38450.39=p
5 0
3 years ago
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