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Agata [3.3K]
3 years ago
11

Describe a linear function for which the least value in the range does not occur at the least value of the domain, that is, the

least value in the range is not the initial value.
Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Consider the linear function

 y= -x, -5≤x,y≤5,  in the interval [-5,5] where x and y take any real number.

Here minimum value of range i.e x is - 5 which occurs at when y=5 i.e at largest value of domain.

And minimum value of Domain i.e y is - 5 which comes at maximum value of range i.e at x=5.

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What is the radius of the following circle?
lara [203]

Answer:

The radius is: 2\sqrt{3}

Step-by-step explanation:

The equation of a circle in center-radius form is:

(x - h)^2 + (y - k)^2 = r^2

Where the center is at the point (h, k) and the radius is "r".

So, given the equation of the circle:

x^2+y^2=12

You can identify that:

r^2=12

Then, solving for "r", you get that the radius of this circle is:

r=\sqrt{12}\\\\r=2\sqrt{3}

7 0
3 years ago
Read 2 more answers
Evaluate the expression. Choose the best answer. <br><br><br><br><br><br> <img src="https://tex.z-dn.net/?f=8%5EP4" id="TexFormu
Morgarella [4.7K]
N P r = (n!)/((n-r)!)
8 P 4 = (8!)/((8-4)!)
8 P 4 = (8!)/(4!)
8 P 4 = (8*7*6*5*4!)/(4!)
8 P 4 = 8*7*6*5
8 P 4 = 1680

The final answer is 1680

4 0
4 years ago
If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fa
Nesterboy [21]

This question is not complete because his height and age was not indicated in the above question.

Complete Question:

Rick is a healthy 19-year-old college student who is 70 inches tall and weighs 205 pounds. He has decided to "get a six-pack" over the summer with a diet and exercise program. As part of his new plan, he has stopped drinking soda and is eating more salads in addition to his usual diet. Besides of these changes, he is unclear on how to proceed to reach his fitness goal. Rick's mother wants to make sure his approach will not interfere with his normal growth and development, and has asked him to seek reliable information to help him make a reasonable plan.

If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fat, the recommended maximal weight loss is one pound per week. Since there are 3500 kcalories in a pound of body fat, a deficit of 3500 kcalories for the week or 500 kcalories per day would be required. Calculate the maximum number of kcalories Rick can consume per day to achieve a weight loss of one pound per week. Assume that his weight is 205 pounds and that his physical activity factor is "low active."

Answer:

2696 kilocalories

Step-by-step explanation:

STEP 1

First we need to calculate Rick's Basal Metabolic Rate( BMR)

Weight in pounds = 205 pounds

Age = 19 years

Height in inches = 70 inches

The formula for calculating Basal Metabolic Rate for men =

BMR = 66.47 + ( 6.24 × weight in pounds ) + ( 12.7 × height in inches ) − ( 6.755 × age in years )

BMR = 66.47 + ( 6.24 × 205 ) + ( 12.7 × 70 ) − ( 6.755 × 19)

= 2247

STEP 2:

The next step is to calculate the maximum amount kilocalories per day Rick should consume

Formula is given as :

For a person with physical activity factor of a ' low Active'

Maximum amount of kilocalories to consume per day = Basal Metabolic rate × 1.2

= 2247 × 1.2

= 2696 Kilocalories (kcalories) per day

6 0
4 years ago
Estimate the difference. 9 1/2- 1 6/7
Sav [38]

Answer:

= 7 \frac{9}{14}  \\

Step-by-step explanation:

9 \frac{1}{2}  - 1 \frac{6}{7}  \\   \frac{19}{2}  -  \frac{13}{7}  \\  \frac{133 - 26}{14}  \\  =  \frac{107}{14}  \\  = 7 \frac{9}{14}

hope this helps

brainliest appreciated

good luck! have a nice day!

6 0
4 years ago
Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea
asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

<u><em>Let </em></u>\mu<u><em> = average ounces of ice cream consumed by American per month</em></u>

So, Null Hypothesis, H_0 : \mu \leq 17 ounces     {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, H_A : \mu > 17 ounces    {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                                 T.S.  = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average = 19 ounces

             s = sample standard deviation = 5 ounces

             n = sample of Americans = 25

So, <u><em>test statistics</em></u>  =  \frac{19-17}{\frac{5}{\sqrt{25} } }  ~ t_2_4

                               =  2

The value of the test statistics is 2.

<em>Now at 0.025 significance level, the </em><u><em>t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test</em></u><em>. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to </em><u><em>which we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0
4 years ago
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