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3 years ago

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests

Mathematics

2 answers:

sveticcg [70]3 years ago

8 0

If you find a wrong thing on answer respond me

Harlamova29_29 [7]3 years ago

8 0

Answer: it will take 9 weeks before you are up to jogging 60

minutes per day.

Step-by-step explanation:

jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you

increase that time by 6 minutes per day. This means that the number of minutes is increasing by 6 for each week. This is an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 12 minutes

d = 6 minutes

n = 25

Tn = 60 minutes

We want to determine number of weeks it will take to reach 60 minutes per day. Therefore,

60 = 12 + (n - 1)6

60 = 12 + 6n - 6

6n = 60 - 12 + 6

6n = 54

n = 54/6 = 9

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10(x+1) = 56 - 2(x-1) what’s the equation

bixtya [17]

Answer:x=4

Step-by-step explanation:

To solve

10(x+1)=56-2(x-1)

Open the brackets

10x+10=56-2x+2

Collect like terms

10x+2x=56-10+2

12x=48

Divide through by 12

x=4

3 0

3 years ago

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A container is shaped like a triangle prism. Each base of container is an equilateral triangle with the dimensions shown. The co

Aleks04 [339]

Answer:

$\text{Lateral surface area of container}=270\text{ cm}^2$

Step-by-step explanation:

Please find the attachment.

We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.

To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.

$\text{Lateral surface area of triangular prism}=(a+b+c)*h$ , where, a, b and c represent base sides of prism and h represents height of the prism.

Upon substituting our given values in above formula we will get,

$\text{Lateral surface area of container}=(\text{6 cm+ 6 cm+6 cm})*\text{15 cm}$

$\text{Lateral surface area of container}=\text{18 cm}*\text{15 cm}$

$\text{Lateral surface area of container}=270\text{ cm}^2$

Therefore, lateral surface area of our given container is 270 square cm.

6 0

3 years ago

Freddy reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read,

Klio2033 [76]

The answer is A i've done this before

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3 years ago

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Shinya went to the salon. The cost if her haircut was $16.00. He tipped the barber 15%. What was the total cost

Fantom [35]

Total cost=costofhaircut+tip
tip=costofhaircut times percent tip
percent tip=15%

percent means parts out of 100
15%=15/100=0.15

cost of haircut=16
tip=16 times 0.15=2.4

total cost=16+2.4=18.4

total cost=$18.40

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3 years ago

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A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard d

Naddik [55]

The critical values for a 90% confidence interval are approximately $\pm1.645$ , so the confidence interval in this case is roughly

$138\pm1.645\dfrac{34}{\sqrt{90}}=(132.1,143.9)$

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3 years ago

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