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Deffense [45]
3 years ago
5

A recipe wants three tablespoons of olive oil

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0

Answer:

what's the question?

Step-by-step explanation:

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Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)
Lelechka [254]

Answer:

y = - \frac{1}{3} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, thus

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - \frac{1}{3} x + 8 ← equation of perpendicular line

6 0
3 years ago
Emma puts $1000 in a savings account that pays 4% interest, compounded monthly. How much money will be in the account 3 years la
lorasvet [3.4K]

Answer:

Option A. \$1,127.27  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ P=\$1,000\\ r=0.04\\n=12  

substitute in the formula above  

A=\$1,000(1+\frac{0.04}{12})^{12*3}=\$1,127.27  

6 0
4 years ago
Read 2 more answers
Evaluate the expression. 6 to the third power + 5( 8 + 15)
olya-2409 [2.1K]

Answer:

5083

Step-by-step explanation:

6^3 + 5(8 + 15)

Simplify the bracket first

6 x 6 x 6 + 5 (23)

216 + 5 (23)

221 (23)

221 x 23 = 5083

6 0
3 years ago
Is 10/9 closest to 0, 1/2 or 1? <br> Explain<br><br> Is 2/15 closest to 0, 1/2 or 1?<br> Explain
const2013 [10]
10/9 can be rewritten as 1 1/9, so it's closest to 1. 2/15 is really small, so close to 0.
4 0
3 years ago
What is the length of a diagonal of a cube with a side length of 3 cm? cm cm cm cm
Evgen [1.6K]

Answer:

5.2cm

Step-by-step explanation:

4 0
3 years ago
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