1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Wittaler [7]
2 years ago
15

Need help with this i don't understand

Mathematics
1 answer:
Oksana_A [137]2 years ago
5 0

Answer:

  1. 7
  2. see below
  3. 5
  4. the rule is not one-to-one

Step-by-step explanation:

Applying the squaring rule to each of the elements of the domain, we get ...

  \begin{array}{cc}\text{Domain}&\text{Range}\\1&1\\-3&9\\-\frac{1}{2}&\frac{1}{4}\\3&9\\2&4\\\frac{1}{4}&\frac{1}{16}\\0.5&\frac{1}{4}\end{array}

__

1. There are 7 different numbers in the Domain list.

2. See above

3. There are 5 different numbers in the Range list.

4. The rule "square me" is not "one-to-one" Two different values in the domain can result in the same value in the range. -3 and 3 both result in 9. -1/2 and 0.5 both result in 1/4.

You might be interested in
For f(x)-4x+1 and g(x)-x^2-5, find (g/f) (x)
antoniya [11.8K]

Answer:

A.

Step-by-step explanation:

let me know if you want an explanation :))

8 0
2 years ago
Read 2 more answers
The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z \leq 2 or Z \geq 2, the outcome X is considered to be unusual.

In this question:

\mu = 8.21, \sigma = 1.9

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{5 - 8.21}{1.9}

Z = -1.69

Z = -1.69 has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

8 0
3 years ago
The graph below is the solution for which sets of inequalities?
Reil [10]

Answer:

the first one

Step-by-step explanation:

i did the test and got it right

8 0
3 years ago
A water container has 19.5 litres of water in it. A cup holds 210 ml of water. At most 92 cups can be filled completely from the
coldgirl [10]

Step-by-step explanation:

Given

A container has 19.5 liters of water

A cup can hold 210 ml of water

1 L is equivalent to 1000 ml

So, 19.5 L is equivalent to 19.5\times 1000=19,500\ ml

So, the number of requires to hold this much water

\Rightarrow n=\dfrac{19,500}{210}\\\\\Rightarrow n=92.85\ \text{cups}

92.85 implies 92 full cups and 1 cup which is partially filled. Hence, almost 92 cups can be filled completely.

5 0
2 years ago
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A
julsineya [31]

Answer:

a) -13.9 ft/s

b) 13.9 ft/s

Step-by-step explanation:

a) The rate of his distance from the second base when he is halfway to first base can be found by differentiating the following Pythagorean theorem equation respect t:

D^{2} = (90 - x)^{2} + 90^{2}   (1)

\frac{d(D^{2})}{dt} = \frac{d(90 - x)^{2} + 90^{2})}{dt}

2D\frac{d(D)}{dt} = \frac{d((90 - x)^{2})}{dt}  

D\frac{d(D)}{dt} = -(90 - x) \frac{dx}{dt}   (2)

Since:

D = \sqrt{(90 -x)^{2} + 90^{2}}

When x = 45 (the batter is halfway to first base), D is:

D = \sqrt{(90 - 45)^{2} + 90^{2}} = 100. 62

Now, by introducing D = 100.62, x = 45 and dx/dt = 31 into equation (2) we have:

100.62 \frac{d(D)}{dt} = -(90 - 45)*31          

\frac{d(D)}{dt} = -\frac{(90 - 45)*31}{100.62} = -13.9 ft/s

Hence, the rate of his distance from second base decreasing when he is halfway to first base is -13.9 ft/s.

b) The rate of his distance from third base increasing at the same moment is given by differentiating the folowing Pythagorean theorem equation respect t:

D^{2} = 90^{2} + x^{2}  

\frac{d(D^{2})}{dt} = \frac{d(90^{2} + x^{2})}{dt}

D\frac{dD}{dt} = x\frac{dx}{dt}   (3)

We have that D is:

D = \sqrt{x^{2} + 90^{2}} = \sqrt{(45)^{2} + 90^{2}} = 100.63

By entering x = 45, dx/dt = 31 and D = 100.63 into equation (3) we have:

\frac{dD}{dt} = \frac{45*31}{100.63} = 13.9 ft/s

Therefore, the rate of the batter when he is from third base increasing at the same moment is 13.9 ft/s.

I hope it helps you!

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 25% mark up from 409.25
    8·2 answers
  • fter production, a computer component is given a quality score of A, B, and C. On the average U of the components were given a q
    10·1 answer
  • Ridley bought 3 3/4 yards of blue fabric,12 5/6 yards of red fabric,and 7 2/3 yards of purple fabric.if she paid $7.50 per yard,
    6·1 answer
  • Simplify the expression (7 - 2)2 + (6 - 2)3.
    12·2 answers
  • Zane has a bowl of raspberries and blackberries. There are 2 more raspberries than
    15·2 answers
  • 4(w + 1) = -6; w = <br> help asap
    11·2 answers
  • Helpppp me pleaaaaseeeewww
    6·1 answer
  • Hey can anyone please help me with these t questions asap?
    6·2 answers
  • I just need help on 4​
    10·1 answer
  • If elephant grows 3 3/4 inched a day, how many inches will it grow in 7 days?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!