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3 years ago

Evaluate piecewise functions

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

Answer:

Step-by-step explanation:

h(17) is falling under the top condition of:

h(t) = √17t as t = 17

So the answer is:

h(17) = √17*17 = 17
h(17) = 17

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Christian reads 14 book every 23 week.

mihalych1998 [28]

Picture 1: The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads $\frac{3}{8}$ books per week.

Picture 3: 80% is equal to $\frac{4}{5}$ .

Step-by-step explanation:

Picture 1: Veena ate lunch at a deli. She ordered turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal.

Given,

Price of turkey sandwich = $9.25

Price of salad = $4.35

Total amount = 9.25+4.35 = $13.60

Tax = 7.5%

Amount of tax = 7.5% of total cost

Amount of tax = $\frac{7.5}{100}*13.60$

Amount of tax = $\frac{102}{100} = \$1.02$

The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads 1/4 book every 2/3 week. How many books does Christian read per week?

Given,

Books read every 2/3 weeks = 1/4 books

$\frac{2}{3}\ weeks=\frac{1}{4}\ books\\$

For determining the number of books read per week, we will multiply both sides by $\frac{3}{2}$

$\frac{3}{2}*\frac{2}{3}\ week=\frac{1}{4}*\frac{3}{2}\ books\\\\1\ week = \frac{3}{8}\ books\\\\$

Christian reads $\frac{3}{8}$ books per week.

Picture 3: What percent is equivalent to $\frac{4}{5}$ ?

We will multiply the given fraction with hundred for calculating the percentage.

$\frac{4}{5}*100\\\\\frac{400}{5}\\\\80\%$

Therefore,

80% is equal to $\frac{4}{5}$ .

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

3 0

3 years ago

Arnold's car is 6 meters long. John's car is 500 centimeters long. When you line them up one in front of the other, how long are

Tpy6a [65]

Answer:

11 meters

Step-by-step explanation:

500 cm = 5 meters

6m + 5m = 11m

5 0

3 years ago

Read 2 more answers

The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random

Pavlova-9 [17]

Answer:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

Step-by-step explanation:

The data given is:

x: 5,5,510,10,10, 15,15,15, 20,20,20

y: 1.6,2.2,1.4, 1.9, 2.4,2.6, 2.3,2.7, 2.8,2.6, 2.9, 3.1

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 150$

$\sum_{i=1}^n y_i =28.5$

$\sum_{i=1}^n x^2_i =2250$

$\sum_{i=1}^n y^2_i =70.69$

$\sum_{i=1}^n x_i y_i =384$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2250-\frac{150^2}{12}=375$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=384-\frac{150*28.5}{12}=27.75$

And the slope would be:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

8 0

3 years ago

At 3pm, the temperature outside was 5 1/5 degrees Fahrenheit. The temperature then fell steadily by 2 1/2 degrees per hour for t

myrzilka [38]

Answer:

-4 4/5 deg F

Step-by-step explanation:

3 pm: 5 1/5 deg

2 1/2 deg per hour for 4 hours = 2 1/2 deg * 4 = 10 deg

7 pm: 5 1/5 deg - 10 deg = -4 4/5 deg

5 0

4 years ago

65$ in a ratio of 2:3

Tpy6a [65]

Answer:

26:39

Step-by-step explanation:

65=2x+3x

65=5x

x=13

26:39

check:

26+39=65

3 0

3 years ago