On Monday, Mr. Lieberenz ran 2.1 miles in 36 minutes. On Tuesday, he ran 5.1 miles in 22 minutes. His rates on Monday and Tuesday ____ proportional because the unit rates for the two days are ____
a. are, the same
b. are, different
c. are not the same
d. are not, different
e. are not, not related
o
f.
are, not related
Answers
Answer:
Historically, surnames evolved as a way to sort people into groups - by occupation, place of origin, clan affiliation, patronage, parentage, adoption, and even physical characteristics (like red hair). Many of the modern surnames in the dictionary can be traced back to Britain and Ireland.
Similar surnames: Leverenz, Lewerenz, Lieberg, Lieber, Lieberman, Liebert, Liebermann
Step-by-step explanation:
Related Questions
let a and b be integers. prove that if ab = 4, then (a – b)3 – 9(a – b) = 0.
Answers
Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)
Starting with the left side of the equation, we have:
\(\((a - b)^3 - 9(a - b)\)\)
Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):
\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)
Rearranging the terms, we have:
\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)
Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:
\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)
Simplifying further, we get:
\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)
Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)
\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)
Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:
\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)
Simplifying further, we get:
\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)
Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.
Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)
Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)
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Mrs. culland is finding the center of a circle whose equation is x2 y2 6x 4y – 3 = 0 by completing the square. her work is shown. x2 y2 6x 4y – 3 = 0 x2 6x y2 4y – 3 = 0 (x2 6x) (y2 4y) = 3 (x2 6x 9) (y2 4y 4) = 3 9 4 which completes the work correctly? (x – 3)2 (y – 2)2 = 42, so the center is (3, 2). (x 3)2 (y 2)2 = 42, so the center is (3, 2). (x – 3)2 (y – 2)2 = 42, so the center is (–3, –2). (x 3)2 (y 2)2 = 42, so the center is (–3, –2).
Answers
By completing squares, we will see that the center of the given circle is at (-3, -2).
How to find the center of the circle?
The general circle equation centered on (a, b) of radius R is:
\((x - a)^2 + (y - b)^2 = R^2\)
In this case, our equation is:
\(x^2 + y^2 + 6x + 4y - 3 = 0\)
First, we need to complete squares, we will have:
\(x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16\)
Then, by looking at the left side, we can see that the center of the circle is (-3, -2).
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Answer:
d
Step-by-step explanation:
got it right on edge
Express 7/8 rational numbers to decimals form by long division method.
Answers
Answer: look below
Step-by-step explanation:
a manufacturer claims that its tires last at least 40000 km. as a result of the test made with 25 randomly selected tires, the average endurance time of the tires was calculated as 39750 km and the standard deviation was 387 km. accordingly, what is the test statistic value?
Answers
The test statistic value is -2.03.
What is the mean and standard deviation?
In statistics, the measurement of variability known as the standard deviation (SD) is frequently utilised. It displays the degree of variance from the mean (average). While a high SD shows that the data are dispersed throughout a wide range of values, a low SD suggests that the data points tend to be close to the mean.
We can use a one-sample t-test to test whether the mean endurance time of the tires is significantly different from the claimed value of 40000 km. The test statistic is given by:
\(t = (x - \mu) / (s / \sqrt{(n)})\)
where x is the sample mean (39750 km), μ is the claimed mean (40000 km), s is the sample standard deviation (387 km), and n is the sample size (25).
Substituting the values, we get:
\(t = (39750 - 40000) / (387 / \sqrt{25})\)
t = -250 / (387/5)
t = -2.03
Therefore, the test statistic value is -2.03.
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please help me with this :) i will give you brainliest :)
Answers
I need help on this one problem, honestly I've tried this question like 4 times and was all wrong so I don't know. I will send a pic
Answers
Let's use the formula provided:
\(\begin{gathered} A=P(1+r)^t \\ \text{Where:} \\ P=3000 \\ r=0.05 \\ t=4 \\ A=3000(1+0.05)^4 \\ A=3000(1.05)^4 \\ A=3646.51857 \end{gathered}\)name the plane represented by the points in the box
A.fbcg C.fecb
B.bade D.fkgi
need now please help
Answers
Answer:
The plane represented in the box is: fbcg
Step-by-step explanation:
Given
The attached box
Required
Which of the given points is a plane in the box
To do this, we simply check if the points are connected i.e. if there is a directed between each of the points of the plane.
A. FBCG
Point F links to B, (by drawing a vertical line from F)
Point B links to C, (by drawing a right horizontal line from B to C)
Point C links to G, (by drawing a vertical line from C down to G)
Point G links to F, (by drawing a left horizontal line from G to F)
Hence, FBCG is a plane on the box.
This is not so for other options
The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are
Answers
Answer:
The expected frequencies for all categories are at least 5.
Step-by-step explanation:
The chi-square goodness of fit test is useful when we have one categorical variable from a population. The test is used to determine whether the data collected are consistent with a hypothesized distribution.
The conditions required to use the chi-square goodness of fit test are:
The sample collected should be a simple random sampleCategorical variable can only be testedThe expected frequencies for all categories or levels are at least 5.The degrees of freedom of this test is:
d = k - 1
Here,
k = number of categories.
Thus, the expected frequencies for all categories are at least 5.
Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)
Answers
Answer:
(3,-3)
Explanation:
create an equation set equal to zero:
3×(1,-1)=0
distributive property:
3×1= 3 ; 3× -1= -3
(3,-3)=0
Answer:
(3,-3)
Step-by-step explanation:
I hope I helped
It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?
Answers
Answer:5
Step-by-step explanation:
Evaluate 8a+3b-10+c2 when a=2, b=5 and c=4
Answers
Answer:
8(2)+3(5)-10+4(2)
16+15 -10+8
=31-10+8
=21+8=29
8(2)+3(5)-10+4(2)
16+15-10+8
31-18
13
(04.07A) Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 Which equation best represents the relationship? y = 1 over 2x + 11 y = negative 1 over 2x + 11 y = 2x + 10 y = 2x + 11
Answers
Answer:
y = negative 1 over 2x + 11
Step-by-step explanation:
I know this because I had the same test as you and that is what I put and I got it right.
Describe in words where the square root of 45 minus 9 would be plotted on a number line.
Between −3 and −2, but closer to −3
Between −3 and −2, but closer to −2
Between 6 and 7, but closer to 6
Between 6 and 7, but closer to 7
Answers
Answer:
Between -3 and -2, but closer to -2
Step-by-step explanation:
The square root of 45 is approximately 6.708.
Subtract 9 from that and you get -2.292.
-2.292 is between -3 and -2, but is closer to -2.
hi i need the answer to this now plz
2 divided by 3
plz explain how you got answer like show work
Answers
2.2 divided 3 is 0.666666666666667
3. 0.666666666666667 is not a whole number.
4. It’s not possible to divide that with a whole number…therefore my only option was my calculator.
Using trigonometry, work out the size of angle x in
the right-angled triangle below.
Give your answer in degrees to 1 d.p.
5.3 m
8.2 m
x
Answers
Answer:
40.3°
Step-by-step explanation:
sin x/ (5.3) = sin 90/ (8.2)
sin x = (5.3 sin 90) / 8.2
= 5.3/8.2
x = arcsin (5.3/8.2)
= 40.3° to 1 dp
The measure of angle x using Trigonometry is 40.263215° or 40.3.
Trigonometry is a branch of mathematics that deals with the study of relationships involving the angles and sides of triangles. It is especially useful in understanding the properties and behavior of right-angled triangles.
Sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the triangle's hypotenuse.
From the figure,
Perpendicular = 5.3 m
Hypotenuse = 8.2 m
Using Trigonometry
sin x = P / H
sin x = 5.3/ 8.2
sin x = 0.6463
Using Inverse Trigonometry
x = \(sin^{-1}\)(0.6463)
x= 40.263215°
Thus, the measure of angle x is 40.3.
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Maria, age 28, wants to pay no more than $300 a year in life insurance. what is the face value of the largest 20-year term policy she can buy without spending more than $300 annually? annual life insurance premium (per 1,000 dollars of face value) for age 28. a 10-year term for female is 1.28, 15 year term for female is 1.54, 20 year term for female is 1.89, and whole life for female is 9.46. a. $234,000 b. $158,000 c. $11,000 d. $567,000
Answers
The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
What is face value?Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.
Maria, age 28, wants to pay no more than $300 a year in life insurance.
The period for this policy is 20-year term.
Annual life insurance premium (per 1,000 dollars of face value) for age 28.
A 10-year term for female is 1.28, A 15 year term for female is 1.54, A 20 year term for female is 1.89, A whole life for female is 9.46.For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,
\(\rm Face \; Value=\dfrac{300}{1.89}\times1000\\\rm Face \; Value\approx158000\)
Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
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Answer: B
on edge
Step-by-step explanation:
Students held a carnival to raise funds for the school. Adult tickets sold for $6 and children's tickets
sold for $3. A total of $384 was raised. If twice as many children attended the carnival as adults, how
many adults attended?
a. 16 adults
b. 64 adults
c. 32 adults
d. 12 adults
Answers
Answer: 16
Step-by-step explanation:
multiply 6 by the answers below until you get 1/3 of 384.
Evaluate the average rate of change for the function (t²-4) (t+1) / (t²+3) on the interval [-3,1] (round to 3 decimals)
Answers
The average rate of change for the function on the interval [-3, 1] is approximately -0.333 (rounded to 3 decimals).
To evaluate the average rate of change for the function (t² - 4)(t + 1) / (t² + 3) on the interval [-3, 1], we can use the following formula:
Average Rate of Change = (f(b) - f(a)) / (b - a),
where f(b) represents the value of the function at the upper limit of the interval, f(a) represents the value of the function at the lower limit of the interval, and (b - a) represents the width of the interval.
Let's calculate it step by step:
Substitute t = -3 into the function:
f(-3) = (-3² - 4)(-3 + 1) / (-3² + 3)
= (9 - 4)(-2) / (9 + 3)
= 5(-2) / 12
= -10/12
= -5/6.
Substitute t = 1 into the function:
f(1) = (1² - 4)(1 + 1) / (1² + 3)
= (-3)(2) / (1 + 3)
= -6/4
= -3/2.
Calculate the width of the interval:
(b - a) = (1 - (-3))
= 4.
Calculate the average rate of change:
Average Rate of Change = (f(1) - f(-3)) / (1 - (-3))
= (-3/2 - (-5/6)) / 4
= (-3/2 + 5/6) / 4
= (-9/6 + 5/6) / 4
= -4/6 / 4
= -2/6
= -1/3.
Therefore, the average rate of change for the function on the interval [-3, 1] is approximately -0.333 (rounded to 3 decimals).
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The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed? (Pie and л... hmmmm...interesting...)
Answers
Using the formula of area of a circle, about 226.08in² has been eaten
How much pizza is eaten?The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:
Area = π * r²
where π is approximately 3.14 and r is the radius of the circle.
Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.
Let's calculate the area of the entire pizza first:
Area = 3.14 * 12²
Area = 3.14 * 144
Area ≈ 452.16 square inches
Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:
Area of half of the pizza = 452.16 / 2
Area of half of the pizza ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.
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What is the equation of the line in slope intercept form?
Answers
Answer:
y=4/3x+4
Step-by-step explanation:
Solve 4x=12 what’s this
Answers
Answer:
If you are looking for X then it is 3
Answer:
4x=12
=12/4
=3
12=4*3
x=3
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
Answers
Answer:
There is no association
Step-by-step explanation:
Points do not follow a trend
Please mark Brainliest
an unbiased coin is tossed four times. what is the probability that coin lands heads up at least once? (round your answer to three decimal places.)
Answers
The probability of getting at least one head is 15/16.
What is probability?
The ratio of positive outcomes to all possible outcomes of an event is known as the probability.
Formula for probability = favourable outcomes/ total outcomes
Main body:
if 4 coins are tossed , total no. of outcomes = 2⁴ = 16
In a toss there are 2 outcomes T or H
so, Probability of getting Head = 1/2
The probability of getting at least 1 head = 1- probability of getting no heads
⇒1 - Probability of getting tail in 4 tosses
⇒ 1 - (1/2)⁴
⇒ 1 - 1/16
⇒ 15/16
So the probability of getting at least one head is 15/16.
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Try to answer the following question without running the code in Python:
If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)
what gets printed?
Answers
Answer:
35
Step-by-step explanation:
Given
the above lines of code
Required
What's the output
We'll analyze the code line by line
a = 2 + 6
At this point a = 8
b = 7 % 3
At this point b = 1. This is so because, the remainder of 7%3 is 1
c = a - b
At this point c = 7;
This is calculated by c = 8 - 1 = 7
c = c * 5
At this point; c = 35
This is calculated by: c = 7 * 5 = 35
print(c)
The value of c, which is 35 is printed
When your battery is fully charged it will last 36 hours. You have 30% of your battery left. How many hours do you have before your iPad
Answers
Answer:
10.8 hours left
Step-by-step explanation:
If you take 36 and divied it by 10 you get 3.6 then you times it by 3 to get 30% and 10.8 hours left
Answer:
i think this is correct, but if im wrong im so sorry
Step-by-step explanation:
you have 83.3 minuets
or
1 hour 23 1/3 minets
Please help me with explanation thank you very much.
Answers
Answer:
B
Step-by-step explanation:
I did some maths
At A nursey, the ratio of red flowers to yellow flowers is 5:4. If there are 28 yellow flowers, how many red flowers are there?
Answers
Answer:
35 red flowers
Step-by-step explanation:
4x7=28 yellow flowers
5x7= 35 red flowers
need help putting these least to greatest , 0.81 , 0.9, 0.73, 0.7
Answers
Answer:
0.7 0.73 0.81 0.9
Step-by-step explanation:
hope this helps
Solve for x.
X = 4
X=10
X=2
X=5
Answers
Answer: Fourth Choice. x = 5
Concept:
Here, we need to know the idea of the intersecting chord theorem.
When two chords intersect each other inside a circle, the products of their segments are equal.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Given information
BE = 2
AE = 10
CE = 4
DE = x
Given expression deducted from the intersecting chord theorem
BE · AE = CE · DE
Substitute values into the expression
2 · 10 = 4 · x
Simplify by multiplication
20 = 4x
Divide 4 on both sides
20 / 4 = 4x / 4
\(\boxed{x=5}\)
Hope this helps!! :)
Please let me know if you have any questions
PLEASE HELP!!! I NEED TO HAVE THIS DONE SOON!
Answers
Answer:
A = 54 is the correct answer!
Step-by-step explanation:
I did this test too! Hope this helped!