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3 years ago

A sine function has the following key features:

Mathematics

1 answer:

il63 [147K]3 years ago

8 0

Try the suggested solution with short explanation; red line means the curve between the first point (on the midline) and the closest maximum; the - - - - line means the curve between the first point (on the midline) and the closest minimum.

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If f(x) = 6x − 5 and f(5a) = 73, then what is the value of a?

Dmitrij [34]

Answer:

a =13/5

Step-by-step explanation:

f(x) = 6x − 5

f(5a) = 6*5a − 5=73

30a -5 = 73

Add 5 to each side

30a -5+5 = 73+5

30a =78

Divide by 30

30a/30 = 78/30

a =13/5

4 0

3 years ago

Read 2 more answers

Pls do 2 3 4 a and b

kirza4 [7]

Answer:

2.a)11.355 b)0.94625

3. divide 6 by 4

4. 0.8kg, 800g

Step-by-step explanation:

To convert one measurement to another you need to set it up so that the old measurement gets cancelled out when you multiply the conversion ratio.

2a) $\frac{3 gallons}{1} *\frac{3.785 milliliters}{1 gallon}=11.355 milliliters$ the gallons on top and bottom get cancelled out leaving you with the measurement that you want

2b) $\frac{1quart}{1} *\frac{1 gallon}{4 quarts} *\frac{3.785 milliliters}{1 gallon} = 0.94625 milliliters$

3) $\frac{x}{y} \frac{6 quarts}{1} *\frac{1 gallon}{4 quarts} = 1.5 gallons$

4) $\frac{28 ounces}{1} *\frac{1 kilogram}{35 ounces} = 0.8 kilograms$

$\frac{0.8 kilograms}{1} *\frac{1000 grams}{1 kilogram} = 800 grams$

7 0

3 years ago

The library has 65400 art books and 9600 science books. What part of all the books are science books

suter [353]

Answer:

9,600/75,000, 16/125

Step-by-step explanation:

art+science=75000

75000 =16/125

4 0

3 years ago

Read 2 more answers

6. A coupon offers $1.00 off the 16-ounce size. Which size is the better<br><br> buy then?

svlad2 [7]

Answer:

Both sizes are better because they cost Same.

Step-by-step explanation:

Consider the provided information.

A coupon offers $1.00 off the 16

Quantity Price

Pint 16 $3.98

Quart 32 $5.98

If he gets $1 off for the 16-ounce size. The price will be:

3.98-1=2.98

He needs to pay $2.98 for 16-ounce pint.

Now find which one is better by calculating the unit rate.

$\frac{Cost}{weight}=\frac{2.98 }{16}\approx0.186$

Therefore, the cost of 1lb would be $0.186

For Quart 32 find the unit rate as shown:

$\frac{Cost}{weight}=\frac{5.98}{32}\approx0.186$

Therefore, the cost of 1lb would be $0.186

Hence, both of the size are better as the unit rate is same.

4 0

3 years ago

Three students were applying to the same graduate school. They came from schools with different grading systems. Student GPA Sch

stiv31 [10]

Answer:

Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever student's GPA had the higher z-score had the best GPA compared to other students.

Thuy 2.5 3.2 0.8

This means that $X = 2.5, \mu = 3.2, \sigma = 0.8$