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Nostrana [21]
3 years ago
12

What is the vertex of the graph

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0
(-3,-3) is the vertex in the graph
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A cohort study was conducted to study the association of coffee drinking and anxiety in a population-based sample of adults. Amo
azamat

Answer: Relative risk of anxiety associated with coffee use is 5 times the anxiety associated with non coffee use.

Step-by-step explanation:

Since we have given that

Number of coffee drinkers = 10000

Number of whom developed anxiety = 500

Number of non coffee drinkers = 20000

Number of whom developed anxiety = 200

So, probability of getting anxiety from coffee drinkers = \dfrac{500}{10000}=0.05

Probability of getting anxiety from non coffee drinkers = \dfrac{200}{20000}=0.01

so, Relative risk of anxiety associated with coffee use is given by

\dfrac{0.05}{0.01}=5

Hence, Relative risk of anxiety associated with coffee use is 5 times the anxiety associated with non coffee use.

6 0
3 years ago
The graph of an exponential function is given. Which of the following is the correct equation of the function? (2 points)
adell [148]

Answer:

Option C

Step-by-step explanation:

WE are given a graph of exponential function and asked to find out of four functions which function the graph represents.

We find that any function of the form

y=a^x

passes through (0,1) for all a

Hence we cannot distinguish any thing from the point

Let us consider when x=1

Then first function will have point as (1,2.4)

II funciton (1,0.31)

III function (1,0.45)

IV funciton (1,1.8)

From the graph given we find that the point of y is less than 1.  Hence it can be either II or III

Consider x=-1

Then II function has point as (-1,3.225) and III function has point as (-1,2.222)

From the graph we find that the graph satsified only the point (-1,2.2222)

Hence OPtion III is right

6 0
4 years ago
Read 2 more answers
Three less than half a number is five. Find the number and what is the equation
elena-s [515]

One half n minus three equals five. 1/2n - 3 = 5. N = 16. 1/2(16) - 3 = 5. 8 - 3 = 5.

8 0
4 years ago
Read 2 more answers
A circular path runs around a circular plot. If the circumference of the plot and the path are 44m and 88m,respectively, find th
boyakko [2]

Answer:

7 meters

Step-by-step explanation:

circumference of path=88m

⇒2πr=88

⇒2.  

7

22

​  

.r=88

⇒r=14m

circumference of plot=44m

⇒2πr  

′

=44

⇒2.  

7

22

​  

.r  

′

=44

⇒r  

′

=7m

therefore width of path=r−r  

′

 

=14−7

=7m

3 0
3 years ago
A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width
otez555 [7]
The volume of a cylinder is the area of the base, times the height. 
<span>The area of the circular base is, of course, π times the square of its radius. </span>
<span>So the volume of a cylinder, V, is </span>
<span>V = π h r^2 </span>
<span>where h is the height and r is the radius. </span>

<span>If we multiply the height by 3, the new height is 3h. </span>
<span>If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. </span>
<span>So the new volume would be </span>
<span>π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 </span>
<span>which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. </span>

<span>So the volume of the larger pool is </span>
<span>27 * 37 cubic feet = 999 cubic feet [answer B] </span>


<span>This is an instance of a general rule: </span>
<span>If we multiply ALL the linear dimensions of an object by a factor F, </span>
<span>while keeping the shape the same (often termed "similar" in geometry), </span>
<span>that multiplies the volume by F^3 (the cube of F). </span>

<span>It also multiplies the surface area by F^2. </span>

<span>These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.</span>
3 0
3 years ago
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