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worty [1.4K]
3 years ago
15

What is the rate of change for f(x) =7 sin x-1 on the interval from x=0 to x=piover 2

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------

\bf f(x)= 7sin(x)-1  \qquad 
\begin{cases}
x_1=0\\
x_2=\frac{\pi }{2}
\end{cases}\implies \cfrac{f\left( \frac{\pi }{2} \right)-f(0)}{\frac{\pi }{2}-0}
\\\\\\
\cfrac{[7\cdot 1-1]~-~[7\cdot 0-1]}{\frac{\pi }{2}}\implies \cfrac{6-(-1)}{\frac{\pi }{2}}\implies \cfrac{6+1}{\frac{\pi }{2}}\implies \cfrac{7}{\frac{\pi }{2}}\implies \cfrac{14}{\pi }
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You can buy 5 cans for green beans at the Village Markets for $3.70. You can buy 10 of the same cans of beans at Sam’s Club for
mihalych1998 [28]

The place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.

<h3>Unit rate</h3>

Village market:

  • Green beans = 5 cans
  • Total cost = $3.70

Unit rate = Total cost / green beans

= 3.70 / 5

= $0.74 per can

Sam's club:

  • Green beans = 10 cans
  • Total cost = $5.90

Unit rate = Total cost / green beans

= 5.90/10

= $0.59 per can

Therefore, the place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.

Learn more about unit rate:

brainly.com/question/4895463

#SPJ1

6 0
1 year ago
Can someone help me pls
BartSMP [9]

Answer:

30.4

Step-by-step explanation:

if you want the basic perimeter just add up all the sides

6 0
3 years ago
A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
7 0
3 years ago
A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearan
Hatshy [7]

Answer: He would pay 45% of the original price.

Step-by-step explanation:

Since we have given that

Let the original price of item be 'x'

Rate mark down by 25%

Amount of marked down would be

\dfrac{25}{100}\times x\\\\=0.25x

Amount after marked down becomes

x-0.25x\\\\=0.75x

Additional clearance items by 40% off

Amount of additional off is given by

\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x

After additional off, the amount becomes,

0.75x-0.3x\\\\=0.45x

Hence, he would pay 45% of the original price.

5 0
3 years ago
John bought a full 1 liter bottle of soda. He drank half of it. How many milliliters of soda does John have left?
sergejj [24]

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = <u>500 ml</u>

5 0
3 years ago
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