Answers
Answer:
w
Step-by-step explanation:
A function cannot have 2 y values for the same x value
The only function that does not have 2 y values for the same x value is W
====================================================
Explanation:
Here the graph has each x value correspond to exactly 1 and only 1 y value. Plugging in something like x = 0 leads to y = 3. We do not have multiple outputs for any given input.
The graph passes the vertical line test. This is a test where you see if you can pass a single straight vertical line through more than one point on the red line. In this case, we can't do such a thing, so the graph passes the test.
In contrast, the lower right corner fails the vertical line test because we can draw a single straight vertical line through x = 1 and have it pass through more than one point on the red curve. The same can be said about the lower right corner.
Any graph that is itself a vertical line automatically fails the vertical line test. We have a single input lead to infinitely many outputs. The whole goal of a function is to have one input lead to one output.
Example: say you wanted to convert 100 degrees Celsius to Fahrenheit. Using the proper conversion function, you would input C = 100 and the output would be F = 212. We get exactly 1 and only 1 output. If we got multiple outputs, then we'd have ambiguity of what the proper temperature conversion is.
Related Questions
What is the area of this composite shape? Enter your answer in the box. in²
Answers
Answer:
Area = 53 in²
Step-by-step explanation:
area of a box = 8 * 6 = 48 in²
area of a triangle = 1/2 * b * h
b = 6 - 4 = 2 in
h = 13 - 8 = 5 in
area of a triangle = 1/2 * 2 * 5 = 5 in²
total area = area of a triangle + area of a box
total area = 5 in² + 48 in²
total area = 53 in²
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. What is the equation of the exponential graph shown?
Answers
Y=a•b^x
Pick the coordinate point (2,25)
25 = a•b^2
Pick another coordinate point (0,100)
100= a•b^0
This means a = 100 as b^0 = 1
Therefore plug a = 100 into the first equation to get:
25 = 100•b^2
1/4=b^2
Square root both sides
- or + 1/2 = b
Since the y coordinate is positive the value for b is positive as a is positive.
Therefore final equation is
y= 100 • 0.5^x
The equation of the exponential graph shown over the x-y coordinate is y=100.(1/2)x.
What is the equation of the exponential graph?The equation of the exponential graph represent the exponential function with the initial value and common ratio.The equation of the exponential graph is given as,
[tex]y=ab^x[/tex]
Here, (a) is the initial value and (b) is the common ratio.
In the graph given in the problem, the initial value is 100 where the value of x is zero, such as,
[tex]x=0; y=100[/tex]
Put these values in the above equation.
[tex]100=ab^0\\100=a\times1\\100=a[/tex]
Now, when the value of x is 2 in the graph, the value of y is 25. Put these values again in the equation.
[tex]25=(100)b^2\\b=\sqrt{\dfrac{25}{100}}\\b=\sqrt{\dfrac{1}{4}}\\b=\dfrac{1}{2}[/tex]
The value of b is 2 and a is 100. Thus, the equation of the exponential graph shown over the x-y coordinate is y=100.(1/2)x.
[tex]y=100\times(\dfrac{1}{2})^x[/tex]
Learn more about the equation of the exponential graph here;
https://brainly.com/question/25309538
You are currently getting 26 sales opportunities per day and closing 64% of them
Answers
Multiply the percentage by the total opportunities:
26 x 0.64 = 16.64
You are closing roughly 17 sales per day.
Can someone teach me how to solve this problem please:)
Answers
Answer:
x= -3, y= -5
or x= 5, y=3
Step-by-step explanation:
① Label the 2 equations
x² +y²= 34 -----(1)
3x -3y= 6 -----(2)
From (2):
x -y= 2 -----(3)
Notice that (x-y)²= x² -2xy +y²
Thus, (equation 3)²= (equation 1) -2xy
Squaring (3):
(x -y)²= 2²
(x -y)²= 4
Expand terms in bracket:
x² -2xy +y²= 4
x² +y² -2xy= 4 -----(4)
subst. (1) into (4):
34 -2xy= 4
2xy= 34 -4 (bring constant to 1 side)
2xy= 30 (simplify)
xy= 30 ÷2 (÷2 throughout)
xy= 15 -----(5)
From (3):
x= y +2 -----(6)
I'll rewrite 2 of the equations.
x= y +2 -----(6)
xy= 15 -----(5)
Subst. (6) into (5):
y(y+2)= 15
y² +2y= 15
y² +2y -15= 0
(y +5)(y -3)=0
y+5= 0 or y-3=0
y= -5 or y= 3
Subst. into (6):
x= -5 +2 or x= 3 +2
x= -3 or x= 5
Answer:
y=-5, y=3
x=-3., x=5
Step-by-step explanation:
x^2+y^2=34
3x-3y=6
isolate x in te equation
3x-3y=6
x=3/3 y+6/3
x=y+2
plug the y+2 in the equation:
x^2+y^2=34
(y+2)^2+y^2=34
y^2+4y+4+y^2=34
2y^2+4y=34-4
2y^2+4y=30 divide by 2
y^2+2x-15=0 factorize
(y+5)(y-3)=0 eiter y+5=0 ten y=-5 or y-3=0 then y=3
now plug the solution in the equation
3x-3y=6
3x-3(-5)=6
3x=6-15
x=-9/3=-3
for y=3
3x-3y=6
3x-9=6
3x=15
x=5
F(x)+6x+11 inverse function
Answers
Answer:
y = x/6 − 11/6
Step-by-step explanation:
y = 6x + 11
To find the inverse, switch x and y, then solve for y.
x = 6y + 11
x − 11 = 6y
y = x/6 − 11/6
On average, the printer uses 500 sheets of paper each day with a standard deviation of 10 sheets. What is the probability that the printer uses more than 508 sheets?
Answers
Answer:
P [ x > 508 ] = 0,2
Step-by-step explanation:
P [ x > 508 ] = 1 - P [ x ≤ 508]
P [ x ≤ 508 ] = ( 508 - 500 ) / 10
P [ x ≤ 508 ] = 8/10
P [ x ≤ 508 ] = 0,8
Then
P [ x > 508 ] = 1 - P [ x ≤ 508]
P [ x > 508 ] = 1 - 0,8
P [ x > 508 ] = 0,2
find the least common denominator for these two rational expressions. x/x^2-25, c/x^2-3x-10
Answers
Answer:
Step-by-step explanation:
Hello,
Let 's notice that
[tex]x^2-25=x^2-5^2=(x-5)(x+5) \ \ and \\\\x^2-3x-10=(x-5)(x+2) \ \text{as sum of the zeroes is 3 and the product is -10}[/tex]
So the least common denominator is
[tex](x-5)(x+5)(x+2)[/tex]
hope this helps
help with this I don't know how to solve please and thanks
Answers
Answer:
6.5 ft
Step-by-step explanation:
When we draw out our picture of our triangle and label our givens, we should see that we need to use cos∅:
cos57° = x/12
12cos57° = x
x = 6.53567 ft
g A CD player with an original price of $380.00 is on sale at 35% off. What is the discount amount and the CD player sale price?
Answers
Answer:
Cost: $247
Discount: $133
Step-by-step explanation:
Simply multiply 380 and 35% off together to get your answer:
380(1 - 0.35)
380(0.65)
247
To find the discount amount, simply subtract the 2 numbers to get your answer:
380 - 247 = 133
Question
Gabrielle is
7
years older than Mikhail. The sum of their ages is
91
. What is Mikhail's age?
Answers
Answer:
42
Step-by-step explanation:
Since Gabrielle is 7 years older than Mikhail, we subtract 7 from 91. Then we divide it by 2. So 84/2=42. Since Gabrielle is 7 years older we add 7 to 42. She is 49 and Mikhail is 42 years old. To double check our answer we should add both of the ages we got to make sure they add up to 91, so 42+49 is 91.
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.8. She thinks the mean is 5.7 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.12 at the 85% level of confidence? Round your answer up to the next integer.
Answers
Answer:
The sample size 'n' = 242
Step-by-step explanation:
Step(i):-
Given mean of the sample = 5.7
Given standard deviation of the sample (σ) = 1.8
The Margin of error (M.E) = 0.12
Level of significance = 0.85 or 85%
Step(ii):-
The margin of error is determined by
[tex]M.E = \frac{Z_{\alpha }S.D }{\sqrt{n} }[/tex]
The critical value Z₀.₁₅ = 1.036
[tex]0.12 = \frac{1.036 X 1.8 }{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{1.036 X 1.8}{0.12}[/tex]
√n = 15.54
Squaring on both sides, we get
n = 241.49≅ 241.5≅242
Conclusion:-
The sample size 'n' = 242
A farmer wants to take 4 of his animals to a city. He has to select the animals from 5 cows and 5 goats. (a) How many possible selections can he make? (b) In how many of these selections will there be more cows than goats?
Answers
Answer:
(a) 210
(b) 55
Step-by-step explanation:
(a) I'm assuming the animals are considered to be unique rather than identical. The order of the animals isn't important, so the number of ways he can choose 4 animals from 10 is:
₁₀C₄ = 210
(b) If there are more cows than goats, then there are either 3 cows and 1 goat:
₅C₃ ₅C₁ = 50
Or there are 4 cows:
₅C₄ = 5
The total number of combinations is 55.
Suppose there are 100 people at airport security, 45 passengers were flying to Dallas of which 30 were men. 55 Passengers were flying to Portland of which 12 where men.
a. What is the probability that a randomly selected person is a man flying to Dallas?
b. Are the events flying to Dallas' and being a man' independent events? Explain.
c. Are the events 'flying to Dallas' and being a man' mutually exclusive events? Explain.
Answers
Answer: A: 30% B: Yes they are independent events because they can both happen without the other one. C: No they are not mutually exclusive events because both of them can happen at the same time
Step-by-step explanation:
45 / 100 = .45 = 45%
.45 x 2/3 = .3
.3= 30%
Consider rolling dice and getting a total of 8. Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.)
Answers
Answer:
13.89%
Step-by-step explanation:
The probability when two dices are rolled and their sum is 8 is shown below:
But before that we need to see the probabilities of the sum i.e 8
2 + 6 = 8
3 + 5 = 8
4 + 4 = 8
5 + 3 = 8
6 + 2 = 8
There are 5 outcomes
And, the two dice is 36 i.e square of 6
So, the probability of two dices are rolled and their sum is 8 is
= [tex]\frac{5}{36}[/tex]
= 13.89%
A population of 500 bacteria is
introduced into a culture and grow in number according to the
equation
P(t) = 500(1+4t/50+t^2)
where t is measured in hours. Find the rate at which the
population is grow ing when t = 2.
Answers
Answer:
P(t) = 2580
Step-by-step explanation:
P(2) = 500 (1+(4(2))/50 +2^2)
P(2)= 2580
Identify whether the given value is a discrete random variable, a continuous random variable, or if it is not a random variable:
1) A college basketball player's height that is reported in the game-day program
2) The color of a student's car
3) The exact weight of an airline passenger's carry-on bag
Answers
Answer:
1. continuous random variable
2. not a random variable
3. a continuous random variable
Step-by-step explanation:
The classifications are as follow
a) The height of the player reported in the game day program is treated as a continuous random variable as these values could be determined through measuring them
b) The color of student car is not a random variable as it does not contain any quantitative data or we can say numerical data
c) The exact weight of the bag is a continuous variable as it is lie between the range
. At the 5% significance level, has average salary gone down from 2008 to 2010? Reject H0; there is evidence that the average starting salary of college graduates has declined from 2008 to 2010. Reject H0; there is not sufficient evidence that the average starting salary of college graduates has declined from 2008 to 2010. Do not reject H0; there is evidence that the average starting salary of college graduates has declined from 2008 to 2010. Do not reject H0; there is not sufficient evidence that the average starting salary of college graduates has declined from 2008 to 2010.
Answers
Answer:
Reject H0; there is evidence that the average starting salary of college graduates has declined from 2008 to 2010.
Step-by-step explanation:
To be able to reject the null hypothesis, it means the researcher has sufficient statistical evidence to reject the null hypothesis (claiming no difference or association between specified populations).
The null in this case is that the average starting salary of college graduates has not declined from 2008 to 2010.
Thus, in this case study, to conclude that the average salary has gone down from 2008 to 2010, we reject H0 as there is evidence that the average starting salary of college graduates has declined from 2008 to 2010.
Which expression is equivalent to (q5)2
Answers
Answer:
Step-by-step explanation:
[tex](q^{5})^{2}=q^{5*2}\\\\ =q^{10}[/tex]
!!HELP WILL GIVE BRAIN LIST!! Examine the diagram and information to answer the question. A circle in the coordinate plane has a radius of 6 and a center at the point (3,2). Point (x,y) lies on the circle. The triangle formed by points (3,2), (x,2) and (x,y) is a right triangle. What is the equation of the circle? Match the expression or equation to the steps used to find the equation of the circle. answers TO fill IN the match |x−3| (x−2)2+(y−3)2=62 |x−2| |y−3| (x−3)2+(y−2)2=62 |y−2|
Answers
Answer:
|y-2||x-3|(x-3)²+(y-2)² = 36Step-by-step explanation:
1. The length of the vertical leg of the triangle is the magnitude of the difference between the y-coordinate of the point on the circle and the y-coordinate of the center:
|y -2|
2. The length of the horizontal leg of the triangle is the magnitude of the difference between the x-coordinate of the point on the circle and the x-coordinate of the center:
|x -3|
3. The Pythagorean theorem tells you the sum of the squares of the leg length is equal to the square of the hypotenuse length. The hypotenuse is given as 6, so the equation is ...
[tex]|y-2|^2 +|x-3|^2=6^2[/tex]
Since the square of a number is the same as the square of its magnitude, we can write this as ...
[tex](x-3)^2+(y-2)^2=36[/tex]
Verify that the following is a Pythagorean Triple: 105, 233, 208
Answers
Answer:
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. Hope this helps!
Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?
Answers
Answer:
They are both parallel lines
Step-by-step explanation:
they both have the slope of -5/4
A manufacturing company measures the weight of boxes before shipping them to the customers. Assume that the weights of boxes are normally distributed with mean 90 lbs and standard deviation 24 lbs. a) Find the probability that a randomly selected box will exceed 94 lbs. b) If a sample of 36 boxes is randomly selected, find the probability that the average of the boxes exceeds 94 lbs.
Answers
Answer:
24
Step-by-step explanation:
You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 44 32.8 59.2 31.4 12.7 68.5 84.7 72.5 55.7 Find the 98% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 98% C.I.
Answers
Answer:
[tex] 51.278 -2.896 \frac{22.979}{\sqrt{9}}= 29.096[/tex]
[tex] 51.278 +2.896 \frac{22.979}{\sqrt{9}}= 73.460[/tex]
And the interval would be:
[tex] (29.10 \leq \mu \leq 73.46)[/tex]
Step-by-step explanation:
For this problem we have the following dataset given:
44 32.8 59.2 31.4 12.7 68.5 84.7 72.5 55.7
We can find the mean and sample deviation with the following formulas:
[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
[tex] s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]
And replacing we got:
[tex]\bar X= 51.278[/tex]
[tex] s= 22.979[/tex]
The confidence interval for the mean is given by:
[tex] \bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]
The degrees of freedom are:
[tex] df=n-1= 9-1=8[/tex]
The confidence would be 0.98 and the significance [tex]\alpha=0.02[/tex] then the critical value would be:
[tex] t_{\alpha/2}= 2.896[/tex]
Ad replacing we got:
[tex] 51.278 -2.896 \frac{22.979}{\sqrt{9}}= 29.096[/tex]
[tex] 51.278 +2.896 \frac{22.979}{\sqrt{9}}= 73.460[/tex]
And the interval would be:
[tex] (29.10 \leq \mu \leq 73.46)[/tex]
At the farm, corn costs $2.50 per pound. How much would 3 1/2 pounds of corn cost? Write your answer in dollars and cents.
Answers
Multiply price per pound by total pounds:
2.50 x 3.5 = 8.75
Total cost = $8.75
Answer:
The cost is $8.75 for 3.5 lbs
Step-by-step explanation:
The rate is 2.50 per pound
Multiply the number of pounds by the rate
3.5 * 2.50 =8.75
The cost is $8.75 for 3.5 lbs
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
Answers
Answer:
45
Step-by-step explanation:
I really don't but it seems right
Answer:
b
Step-by-step explanation:
just did it on edge
What is the solution to this sysiem of inear equacions?
3x-2= 14
5x+y=32
• (3,5)
• (6,2)
• (8,-1)
• (14,-18)
Answers
Answer:
the answer i got was (16/3,16/3)
Step-by-step explanation:
Calculate the volume of a rectangular prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm. (As before, you do not need to enter the units since they are provided to the right of the answer box.)
Answers
Answer:
85.932 cm³
Step-by-step explanation:
The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):
[tex]V=l*w*h[/tex]
The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:
[tex]V=4.4*3.1*6.3\\V=85.932\ cm^3[/tex]
The volume of this prism is 85.932 cm³.
In a large city, the city supervisor wants to find the average number of aluminum cans that each family recycles per month. So, she surveys 18 families and finds that these 18 families recycle an average of 140 cans per month with a standard deviation of 26 cans per month. Find the 90 % confidence interval for the mean number of cans that all of the families in the city recycle per month.
Answers
Answer:
The 90% onfidence interval for the mean number of cans that all of the families in the city recycle per month is between 129.34 and 150.66 cans per month
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.74
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.74\frac{26}{\sqrt{18}} = 10.66[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 140 - 10.66 = 129.34 cans per month
The upper end of the interval is the sample mean added to M. So it is 140 + 10.66 = 150.66 cans per month.
The 90% onfidence interval for the mean number of cans that all of the families in the city recycle per month is between 129.34 and 150.66 cans per month
The ratio of the areas of two circles is 121/100. What is the ratio of the radii of the two circles
Answers
Answer:
11/10
Step-by-step explanation:
The area ratio is the square of the radius ratio (k):
(121/100) = k²
k = √(121/100) = 11/10
The ratio of radii is 11/10.
A takeaway sells 10-inch pizzas and 12-inch pizzas.
Answers
The profit made in week 1 is 0.69 and week 2 is 0.71.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
A takeaway sells 10-inch pizzas and 12-inch pizzas.
From the table
For week 1:
Proportion= 509/ 736 = 0.69
and, week 2:
Proportion= 765/ 1076 = 0.71
Learn more about proportion here:
https://brainly.com/question/26974513
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