Hector's school is holding a fitness challenge. Student are encouraged to exercise at least 2 1/2 hours per week. Hector exercises about the same number of hours each week. During a 4-week period, he exercises for 11 1/2 hours. Hector wants to compare his exercise rate with the fitness challenge rate. How many hours per week does Hector exercise?

Answers

Answer 1

Answer:

The answer is 2 7/8

Answer 2

Answer:

Final answer:

Hector exercises 2.875 hours per week, which is calculated by dividing the total of 11 1/2 hours he exercised during the 4 weeks by 4.

Explanation:

Hector wants to compare his exercise rate with the fitness challenge rate. To find out how many hours per week Hector exercises, we need to divide the total hours he exercised in a 4-week period by the number of weeks.

Hector exercised for 11 1/2 hours during 4 weeks, which is equal to 11.5 hours. Dividing 11.5 hours by 4 weeks gives us:

11.5 hours ÷ 4 weeks = 2.875 hours per week

Thus, Hector exercises 2.875 hours per week, which is slightly more than the 2 1/2 hours (or 2.5 hours) per week recommended by the fitness challenge.

Learn more about Exercise Rate here:

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.y = e^x^2 ln 4x^3

Answers

$(d(lnx))/(dx)=(1)/(x)$

Answer:

$(dy)/(dx)=e^(x^2)((2x^2ln(4x^3)+3)/(x))$

Step-by-step explanation:

We are given that a function

$y=e^(x^2)ln(4x^3)$

We have to differentiate w.r.t x

$(dy)/(dx)=e^(x^2)* 2xln(4x^3)+e^(x^2)* (1)/(4x^3)* 12x^2$

By using formula

$(d(lnx))/(dx)=(1)/(x)$

$(d(e^x))/(dx)=e^x$

$(dy)/(dx)=e^(x^2)(2xln(4x^3)+(3)/(x))$

$(dy)/(dx)=e^(x^2)((2x^2ln(4x^3)+3)/(x))$

Hence, the derivative of function

$(dy)/(dx)=e^(x^2)((2x^2ln(4x^3)+3)/(x))$

Which two numbers on the number line have an absolute value of 1.75?Select the location of both numbers on the number line.

Answers

Answer:

The absolute value of a number is the distance of the number from zero on the line. The line has always values increasing from left to right. Right side is greater than the left side.

Every absolute value has two numbers on the line like absolute value of 1 has two points, one is 1 and the other is -1. Hence the absolute value of 1.75 also has two numbers on the line one is 1.75 and other is -1.75.

So the point 1.75 can be found on the right side of zero at a distance of 1.75 and in the middle of point 1.5 and 2. Again -1.75 point can be found at the left side of zero at a distance of 1.75 and in the middle of -1.5 and -2.

Note: Refer the image attached. The Red colour marks in the image attached shows the location of both numbers on the number line.

Answer:

-1.75 and 1.75

Step-by-step explanation:

The absolute value is the distance that certain number has from it's position to the number 0.

There are only two numbers that have a distance of 1.75 to the number 0: -1.75 and 1.75.

The location on the graph must be marked on the line that is between -1.5 and -2, and between 1.5 and 2.

What is the similarity ratio of the smaller to the larger prisms? Enter your answer as a:b

Answers

Answer:

6:9>2:3

Step-by-step explanation:

In order to do this, you just have to equalize the ratio you just need to search for the same sides, so the 6 side is similar with the 9 side on the larger, and then the 8 to the 12 and the 4 to the 6, so you just equalize any of those equal we will use the 8 and 12:

8:12

Now we just reduce it with the same:

4:6

2:3

So the ratio would be 2:3.

The similarity ratio, I believe, is 2:3.

Because the lengths are 6 and 9 (2:3), the widths are 8 and 12 (2:3), and the heights are 6 and 4 (2:3).

Find reason and statements

Answers

Answer:

Missing reason/statements:

R1, R2, R3 - Given
S4. ∠1 ≅ ∠3
R4. Transitive property
R5. Definition of congruence
S6. m∠1 = 120°
R6. Substitution

What is the place value of 3 in 9. 365?

Answers

place value 3 is Hundred
(9*1000)+ (3*100)+(6*10)+5

Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

there are 650 students in a school if the number of girls is 106 more than the boys how many boys are in the school

Answers

There are 272 boys in the school

Answer:

boys = 272

Step-by-step explanation:

b = boys

g = girls

1) write two equations with the given informations:

g + b = 650

g = b + 106

2) substitute the value of g in the first equation:

b + 106 + b = 650

3) solve the equation for b

2b = 544

b = 272

4) substitute the value in the second equation

g = 272 + 106

g = 378

girls = 378

boys = 272

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