Answers
Answer:
Option 1
Step-by-step explanation:
You want to know which of 4 tables shows a non-linear function.
Linear functionA function represented by a data table will be linear if the ratios of changes in y to changes in x are the same for all intervals.
Option 1Changes in y are ...
-10 -(-4) = -6, -8, -10
Changes in x are ...
10 -8 = 2, 2, 2
The ratios of these changes are ...
-6/2 = -3, -8/2 = -4, =10/2 = -5
These are not constant, so this table is a nonlinear function.
Option 2Changes in y are ...
8 -10 = -2, -8, -6
Changes in x are ...
-2 -(-3) = 1, 4, 3
The ratios of these changes are ...
-2/1 = -2, -8/4 = -2, -6/3 = -2
These are constant, so this table is a linear function.
The nonlinear function is Option 1.
__
Additional comment
The ∆y/∆x ratios for Option 3 are all -10/3. For Option 4, they are all 2.
Related Questions
Convert 653 in base 7 to base 10
Answers
6*102=600
5*101=50
3*100=3
Adding all to get Ans=65310
Step2 converting 65310 to 7
The equation calculation formula for 65310 number to 7 is like this below.
7|653
7|93|2
7|13|2
7|1|6
7|1|1
Ans:16227
there are 4 types of ice cream, 3 different cones and 3 choices of toppings. how many different ways can an ice cream cone be ordered
Answers
Answer:
25
Step-by-step explanation:
please help me! in need of help due tomorrow!
Answers
Answer:
Step-by-step explanation:
(1). A = π r²
A = 4 π
Area of shaded region is \(\frac{4\pi *260}{360}\) = \(\frac{26}{9} \pi\) or \(\frac{26\pi }{9}\)
(2). C = 4 π
In this case, the length of the bigger arc and the area of shaded region happen to be the same.
The length of the arc ADB is \(\frac{26}{9} \pi\) or \(\frac{26\pi }{9}\)
←
Suppose a researcher is testing someone to see whether she or he can tell Soda X from Soda Y, and the researcher is using 34 trials, half with Soda
X and half with Soda Y. The null hypothesis is that the person is guessing.
a. About how many should the researcher expect the person to get right under the null hypothesis that the person is guessing?
b. Suppose person A gets 24 right out of 34, and person B gets 20 right out of 34. Which will have a smaller p-value, and why?
a. The person should get right.
(Type a whole number.)
b. Person
will have a smaller p-value because
Answers
a. The researcher should expect each person to get 17 guesses correct under the null hypothesis that the person is guessing.
b. Person A has a smaller p-value because the person's number of successes is further to the hypothesized number of successes.
What are the hypothesis tested?At the null hypothesis, it is tested if the person is guessing, that is, if the proportion is of 0.5, hence:
\(H_0: p = 0.5\)
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the person is not guessing, that is, if the proportion is different than 0.5, hence:
\(H_0: p \neq 0.5\)
Considering the tested proportion of 0.5, the expected number of correct guesses on the 34 trials is of:
0.5 x 34 = 17 correct guesses.
What are the test statistic and the p-values?The test statistic is given by the equation presented as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.The parameters that are the same for each person are given as follows:
\(p = 0.5, n = 34\)
The sample proportions are given as follows:
Person A: 24/34 = 0.7059.Person B: 20/34 = 0.5882.Then the test statistics are given as follows:
Person A: z = (0.7059 - 0.5)/sqrt(0.5 x 0.5/34) = 2.40.Person B: z = (0.5882 - 0.5)/sqrt(0.5 x 0.5/34) = 1.03.Person A is farther from the mean due to the higher test statistical, hence it has a smaller p-value.
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5. Steve invests $10,000 when he is 20 years old. His investment grows at a rate of 7% per year. How much money will Steve have after 20 years?
Answers
Answer: In 20 years he will have $38,696.84.
Hope this helps!
What is the equation of the line that passes through (4, 3) and (-4, -1)?
Choices:
2x+1
y=2x+7
y=x/2 +1
y= -x/2 +7
Answers
The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.
To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Substituting the given points into the formula, we get:
m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2
Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.
y = mx + b
3 = (-1/2)(4) + b
3 = -2 + b
b = 5
Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:
y = -x/2 + 5
So, correct option is A.
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Complete question is:
What is the equation of the line that passes through (4, 3) and (-4, -1)?
Choices:
y = -x/2 + 5
y=2x+7
y=x/2 +1
y= -x/2 +7
Multiply the number by 4
Add 12 to the product
Divide the sum by 2
Subtract 6 from the quotient
Answers
By comparing the result obtained in Part B (6N) with the result obtained in Part A, we can see that the conjecture holds true. The result of the process is indeed related to the original number (N) by multiplying it by 6.
Part A:
Based on the given process, the conjecture that relates the result of the process to the original number (represented as N) is as follows:
Start with the original number N.
Multiply N by 4.
Add 12 to the product.
Divide the sum by 2.
Subtract 6 from the quotient.
The result of this process is the final number obtained.
Part B:
To prove the conjecture using deductive reasoning, we will follow the steps given in Part A:
Start with the original number N.
Multiply N by 12.
Add 4 to the product.
Divide the sum by 2.
Subtract 2 from the quotient.
We will simplify the steps using algebraic notation:
Step 1: N
Step 2: 12N
Step 3: 12N + 4
Step 4: (12N + 4) / 2
Step 5: [(12N + 4) / 2] - 2
Now, let's simplify Step 5:
Step 5: (12N + 4) / 2 - 2
= (12N + 4 - 2*2) / 2
= (12N + 4 - 4) / 2
= 12N / 2
= 6N
Therefore, the result of this process is 6N.
We may verify that the supposition is correct by comparing the result from Part B (6N) with the result from Part A. By multiplying the outcome by 6, the process does in fact relate to the original number (N).
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The complete question is:
Multiply the number by 4. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient. 1st number is 3 and the results 2nd number is 6 and the results 3rd number is 8 and the results 4th number is 12 and the results part A. Write a conjecture that relates the result of the process to the original number selected. Represent the original number as N. What is the result part b Represent the original number as N, use deductive reasoning to prove the conjecture in part (a) multiply the number by 12 and the results add 4 to the product and the results divide the sum by 2 subtract 2 from the quotient
tony is 50 years older than Brent. Twenty years ago Tony was at least there times as old as brentwas, how old is Brett now.
Answers
Answer:70-30=?
Step-by-step explanation:
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x³-7x+11?
0 +1.1.1.5
O
11
0 + 3.1.1.5,
45, +11
5
0 0 ±, ±3. 1. ±1, , 25, ±11
Answers
Answer:
1/5
-1/5
11/5
-11/5
1
-1
11
-11
Step-by-step explanation:
The Rational Root Theorem states that if a polynomial equation with integer coefficients has a rational root, then that root must be of the form p/q, where p is a factor of the constant term (in this case, 11) and q is a factor of the leading coefficient (in this case, 5).
Using this information, we can determine that the potential rational roots of the polynomial f(x) = 5x³-7x+11 are all of the following:
1/5
-1/5
11/5
-11/5
1
-1
11
-11
Note that this list includes all possible rational roots of the polynomial, but not all of these roots will necessarily be actual roots. To determine which of these potential rational roots are actual roots, we would need to test them by plugging them into the polynomial and solving for x.
Solve for n.
n + 184 = –375
Answers
Answer:
n=-559
Step-by-step explanation:
Answer:
n=-559
Step-by-step explanation:
you need to get n by itself so you subtract 184 from both side n=-375-184 then simplify it to n= -559 leaving you with the answer.
hope this helped
A baseball player reaches first base 30% of the times he is at bat. Out of 50
times at bat, about how many times will the player reach first base?
(write a proportion)
Answers
Answer:
15 timesStep-by-step explanation:
The proportion is:
k = 30% = 30/10 = 3/10Out of 50 times, the player will reach first base:
50*3/10 = 15 timesTotal times
30% of 5030/100(50)0.3(50)15timesProportion
k=30%=0.3
I NEED THIS ASAP!!!!!! The dimensions of triangle B are twice the dimensions of triangle A. The area of triangle B is 112 cm2.
What is the area of triangle A?
A.
56 cm2
B.
63 cm2
C.
126 cm2
D.
28 cm2
Answers
Answer: A. 56 cm2
Step-by-step explanation: 112/2=56 and I divided it because Triangle B is twice of Triangle A.
You are giving a bag of jelly beans. There are 7 red, 8 blue, 4 elbow, and 10 pink. Find the probability of eating 3 red jelly beans in a row
Answers
8 / 29 = .276
29 is the total number of jelly beans
When we have replacement, we do not reduce the number of total jelly beans, so the probably of drawing blue stays the same.
But to find the probability of drawing a blue two times in a row, we must square the probability .
(.276) • (.276) = 0.076
Your answer is 7.6% !
What is the inequality
Answers
Answer:
x ≥ 4
Step-by-step explanation:
Well to find the inequality we need to single out x,
4x - 1 ≥ 15
+1 to both sides
4x ≥ 16
Divide 4 by both sides
x ≥ 4
Thus,
x is greater than or equal to 4.
Hope this helps :)
56 to 35 in ratio and simplest form
Answers
Answer:
The ratio 56 to 35 = 8 to 5 = 8/5
Which is the simplified form of the expression?
Answers
Answer:
\(\frac{1}{x^21y^12}\)
Step-by-step explanation:
what is the variable in the expression 3y+8
Answers
The variable is y
A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans the 16 ft ladder against a house 30-degree angle. Which ladder will he climb to the higher height? Explain the answer please
Answers
Answer:102
Step-by-step explanation:
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 40% off. Is this equal to a discount? Explain your answer.
The total percent of reduction is _____% , so this __ * is or is not * __equal to a discount.
Answers
Step-by-step explanation:
Step one:
We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.
Moreso, a coupon is a voucher entitling the holder to a discount off a particular product. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.
Step two:
Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is
=40/100*100
=0.4*100
=$40 off
= 100-40
=$60
The total percent of reduction 10+40= 50%
This is equal to a discount on the sales price
Sundeep mixed 300 mL of water with 100 mL of sugar. She says "the total volume is
300 mL + 100 mL = 400 mL." Do you agree with Sundeep? Explain why or why not.
Answers
No, I don't agree with Sundeep. The mixture wont simply add up
How to show the volume will not be 400 mlWhen two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.
When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.
The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.
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TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
Answers
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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6. The mean of 9, 14,x, 16, 7 and 18 is 11.5. Find the value of x
Answers
Answer:
Given
11.5= 9+14+x+16+7+18/6
⇒x=11.5×6−9−14−16−7−18=5
∴x=5
Step-by-step explanation:
Hope it is helpful.....
A skier IS skiing down a slope on the mountain.
Is the mechanical energy conserved? Why or why not?
Answers
Answer:
The mechanical energy isn't conserved.
Step-by-step explanation:
Honeslty I think you should Start cheatin on your Hw
Answer:
The mechanical energy is not conserved
Step-by-step explanation:
Recall that the law of conservation of energy states that in an isolated system (no external forces acting on it), the mechanical energy is conserved.
A skier skiing down a slope is not an isolated system in this case because the friction of the snow causes some of the mechanical energy to convert to thermal energy.
5 Show
for
on the number line below.
7/5 - 5/5 on the number line
Answers
Answer:
2/5
<|----|----O----|----|----|----|----|----|-> *scale of 1/5 per |
0 1/5 2/5 3/5 4/5 5/5 6/5 7/5
Step-by-step explanation:
7/5 - 5/5 = 2/5
Ten cards are numbered 10, 11, 12, ..., 19, one number per card. Brian removes three cards whose numbers are primes, and puts the remaining cards in a hat. If one card is then drawn at random from the hat, what is the probability that its number is a prime?
A) 1/10
B) 1/9
C) 1/5
D) 2/5
E) None of The Above
Answers
Answer:
None of the Above
Step-by-step explanation:
10 - Not Prime
11 - Prime
12 - Not Prime
13 - Prime
14 - Not Prime
15 - Not Prime
16 - Not Prime
17 - Prime
18 - Not Prime
19 - Prime
6 numbers NOT PRIME
4 numbers PRIME
4 - 3 = 1
1 + 6 = 7
1/7
Mrs.Vincent had to cut the cake into 55 slices. What percent of the cake did each student get?
Answers
Answer:
1.82 %
Step-by-step explanation:
Divide 100% among 55 students
\(\frac{100}{55} =1.82\)
Hope this helps
Express the pair of fraction using the least common denominator of the two 3/8,7/10
Answers
Answer:
Step-by-step explanation:
3/8 x 5/5 = 15/40
7/10 x 4/4 = 28/40
15/40, 28/40
The least common denominator of the two pairs of fractions is 15/40 are 28/40. which is the correct answer would be an option (A).
What is LCD?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have to determine the least common denominator of the two pairs of fractions.
The fractions are 3/8, and 7/10
⇒ 3/8
Multiply by 5/5 in the fraction,
⇒ 3/8 × 5/5 = 15/40
⇒ 7/10
Multiply by 4/4 in the fraction,
⇒ 7/10 × 4/4 = 28/40
Therefore, the least common denominator of the two pairs of fractions is 15/40 are 28/40
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Combine like terms to write an equivalent expression
-4r-2r+5
Is there another way you can write this answer? How?
Answers
Answer:
whats your options
Step-by-step explanation:
Answer:
Combined like terms an equivalent expression'):
-4r-2r+5=-6r+5
Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 – x.
Answers
Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:
D: one solutionThe equations are:
\(4y + x = 16 \rightarrow x = 16 - 4y\)
\(y = 4 - x \rightarrow x = 4 - y\)
Equaling both equations for x, we have that:
\(16 - 4y = 4 - y\)
\(3y = 12\)
\(y = \frac{12}{3}\)
\(y = 4\)
\(x = 4 - y = 4 - y = 0\)
Hence, the system has one solution, which is (0,4), and option d is correct.
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The perimeter of a triangle is 10c+13. If two sides measure 3c+4, what is the measurement of the missing side?
Answers
Answer:
7c+3
Step-by-step explanation: