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3 years ago

John Hikes 13.5 mi at a constant rate of 3 mi/ h

Mathematics

2 answers:

stiv31 [10]3 years ago

5 0

Time = distance/time = 13.5/3 = 4.5 hours

Answer is B

svet-max [94.6K]3 years ago

4 0

Same answer B. 4.5 h

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Can anyone show me the steps and answer?

valina [46]

Answer:

(-∞, 3) ∪ (3, 4) ∪ (4, ∞)

Step-by-step explanation:

Steps:

1. Read and understand the question. Here, you're being asked for the domain of a rational function, one with a 2nd-degree polynomial in the denominator. The domain is the set of x-values for which the function is defined.

2. Understand that the function will be undefined when the denominator is zero, so to answer the question, you must find the values of x that make the denominator zero.

3. Use any of the methods you have been taught to determine the zeros of the denominator polynomial. For this one, it is convenient to factor it:

x² -7x +12 = (x -3)(x -4)

The values of x that make this zero are 3 and 4, so these values are excluded from the domain.

4. Write an expression in interval notation that includes all real numbers except 3 and 4. That is, you want to translate this to interval notation:

(-∞ < x < 3) ∪ (3 < x < 4) ∪ (4 < x < ∞)

Using what you know about interval notation, you write it as ...

(-∞, 3) ∪ (3, 4) ∪ (4, ∞)

8 0

3 years ago

Find the slope of the line that passes through the points (-8, 3) and (7, 3)

taurus [48]

Answer:

slope : 1/15

Step-by-step explanation:

slope = change in y / change in x

change in y = 1 / change in x = 15

therefore, 1/15 = slope

4 0

4 years ago

A total of 486 tickets were sold for the school play. They were either adult tickets or student tickets. There were 64 fewer sru

padilas [110]

Answer:

Step-by-step explanation:

A=number Adult tickets;S=A+74= number Student tickets

Total tickets=adult tickets + student tickets

724=A+(A+74)

724=2A+74 Subtract 74 from each side

650=2A divide each side by 2

325=A ANSWER 1: There were 325 Adult tickets sold

6 0

4 years ago

Supposed a Visa card had a credit card number of 4162 0012 3456789a where a is the check number what is the check number? A) 0 B

MrMuchimi

Answer:

Option B) 3

Step-by-step explanation:

we have the number

4162 0012 3456 789a

Find the value of a (check number)

step 1

Multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit

4162 0012 3456 789a

9(2)+7(2)+5(2)+3(2)+1(2)+0(2)+6(2)+4(2)

(18)+(14)+(10)+(6)+(2)+(0)+(12)+(8)

Remember that If the result is a two digit number, then add these digits together to make a single digit

(1+8)+(1+4)+(1+0)+(6)+(2)+(0)+(1+2)+(8)

(9)+(5)+(1)+(6)+(2)+(0)+(3)+(8)=34

step 2

add every odd-position digit

4162 00123456 789a

8+6+4+2+0+2+1=23

step 3

Adds the result in step 1 and the result in step 2

34+23=57

The check-digit is what number needs to be added to this total to make the next multiple of 10

In our case, we’d need to add 3 to make 60

therefore

The check number is 3

6 0

4 years ago

Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?

lutik1710 [3]

If the soda can is a cylinder, which is most likely, than that means we need to find the height of the cone. The formula for volume of a cylinder is V= пr^2h (look at the pic for clearer formula) and we know the diameter of the soda can is 6, we know the radius is 3 because diameter is a line reaching from one point of the circle to the other. Radius is a line reaching from the center of the circle to the outside as shown in the image. We divide pi (you can put in the calculator 3.14) from 21, then we get 6.688 (if we round up) and then you must look at the formula now

it looks like
6.688=r^2h

that means we must find 3^2
that basically means 3x3 which is 9

then you have to divide that from 6.688

then you get 0.743

that is your height.

now we must find the volume of the cone. The formula for that is

V=пr^2(h/3)

now lets plug in our info

V=(3.14)(9)(0.743/3)

you get 6.999

4 0

3 years ago

Read 2 more answers