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OlgaM077 [116]
3 years ago
11

A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers,

proper fractions, and improper fractions in simplest form
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

y=3x+5

Step-by-step explanation:

The problem is asking for slope-intercept form, luckily, they gave us both of those things.

Slope-intercept form: y=mx+b, where m= slope and b= y-intercept.

So,

y=3x+5

Hope this helps!

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Which expression is equivlent to (3^2)^-2?<br><br>A) -81<br>B) -12<br>C) 1/81<br>D) 1/12​
Colt1911 [192]

Answer:

Answer: 1/81

First you simplify it to 3^-4

Then express it with a positive exponent

which goes to 1/3^4

Then evaluate it to 1/81

6 0
3 years ago
Read 2 more answers
Darla has four buckets shaped like cylinders she is filling the buckets with water by using a scoop shaped like a cone if the co
padilas [110]

Answer:

12 Scoops

Step-by-step explanation:

Darla has 4 Cylinder Shaped Buckets

Volume of the Cylinders =4*\pi r^2h

The scoop is cone shaped and:

Volume of the Cone Scoop =\frac{1}{3} \pi r^2h

Since the radius and height of the cone scoop and cylindrical buckets are the same,

The number of Cone Scoops it will take to fill the buckets is:

Total Volume of Buckets/Volume of Cone Scoops

=\dfrac{4*\pi r^2h}{\frac{1}{3} \pi r^2h} \\=4 \div \frac{1}{3}\\=12

It will take 12 Scoops to fill the 4 buckets.

5 0
3 years ago
An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0
3 years ago
What is the quotient of -3/8and-1/3?
hodyreva [135]

Answer:

9/8

Step-by-step explanation:

the quotient of -3/8 and -1/3

= (-3/8)  /  (-1/3)

= (-3/8) x (-3/1)

= 9/8

8 0
3 years ago
When simplified completely, the product of a monomial and a monomial is sometimesalwaysnever a monomial
Vaselesa [24]

Answer:

Always

Step-by-step explanation:

A mononomial's variable can only have exponents 0,1,2,3 etc  so the product will also be a mononomial.

7 0
3 years ago
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