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4 years ago

Identify the domain of a radical function with an odd index.

1 answer:

8 0

Answer:When n is an odd number, $\sqrt[n]{a}$ is a real number for all values of a. Then, the domain is the real domain.

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A store is having a 20% off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purc

Nadusha1986 [10]

Answer:

Step-by-step explanation:

If a store is having a 20% off sale

By buying an item you save 20% of the price

If Mai saves $13 on an item she is also saving 20%

$13 = 20% of the price

$65 = 100% of the original price

$65 is your answer!

5 0

3 years ago

Read 2 more answers

A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. rad

Airida [17]

Answer:

Step-by-step explanation:

"The question is not complete, here is the complete question

A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 180 rpm.

Find the linear speed of the bicycle in in/min (correct to at least two decimal places)

How fast is the bike moving in mph (to two decimal places)?"

Step one:

given data

the diameter of wheels= 18 inches

radius of front sprocket=6 inches

radius of rear sprocket= 3 inches

The cyclist pedals at 180 rpm

The chains move at the same speed, hence

the rear sprocket must make 6/3 revolutions for every one revolution made by the front sprocket

when the rider moves the front sprocket through 180 revs/min

the rear sprocket moves through 180 (6/3) = 360 revs/min

the linear speed of the bicycle in inches per minute =

2π * 9 * 360 = about 20360.16 in/min

The speed in mph

=2π * 9 * 360 * 60 minutes in 1 hr /63360 in/ mile

=19.28 mph

4 0

3 years ago

Points P, Q, and S are collinear. What is mZRQS? R ((x + 1) (3x – 5)° s

kiruha [24]

Answer:

m∠RQS = 47°

Step-by-step explanation:

The collinear points form a "straight angle," one whose measure is 180°. That is the sum of the marked values:

(3x -5) +(x +1) = 180

4x = 184

x = 46

m∠RQS = (x+1)° = (46+1)°

m∠RQS = 47°

8 0

4 years ago

Help! Congruent Angles and Measures

Phantasy [73]

Answer:angle A is 50
proof/work:

7 0

4 years ago

8. The endpoints of ST are s(-3, 2) and t(5,8). Find the coordinates of the midpoint of ST. Then find ST. OA midpoint: (1,5); ST

Naya [18.7K]

Answer:

The mid point of ST is (1,5) and ST = 10 units

Step-by-step explanation:

It is given that,

S(-3,2) and T(5,8). We need to find the coordinates of the midpoint of ST and also ST.

Let (x,y) be the mid point of ST. Using mid-point formula we get :

$(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

We have, x₁ = -3, x₂ = 5, y₁ = 2 and y₂ = 8

So,

$(x,y)=(\dfrac{-3+5}{2},\dfrac{2+8}{2})\\\\(x,y)=(1,5)$

(1,5) is the midpoint of ST.

Using distance formula to find ST as follows :

$ST=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\ST=\sqrt{(5-(-3))^2+(8-2)^2} \\\\ST=10\ \text{units}$

Hence, the mid point of ST is (1,5) and ST = 10 units.

7 0

3 years ago