The table represents the total miles traveled, y, after a number of hours, x.
Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420
Which linear equation represents the situation?
y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x
Answer:
y=60x
Step-by-step explanation:
i did it on edg2020
Answer:
(2.5,150)(4,240)
slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60
y = mx + b
slope(m) = 60
(4,240)...x = 4 and y = 240
now we sub and find b, the y int
240 = 60(4) + b
240 = 240 + b
240 - 240 = b
0 = b
so ur equation is : y = 60x + 0 which is written as : y = 60x <==
Solve the system of equations –2x+y = 15 and 3x + 2y = -33 by combining
the equations.
Answer:
x=-9
y=-3
Step-by-step explanation:
Answer:
x=-3/7, y=99/7. (-3/7, 99/7).
Step-by-step explanation:
-2x+y=15
3x+2y=-33
----------------
-2(-2x+y)=-2(15)
3x+2y=-33
---------------------
4x-2y=-30
3x+2y=-33
----------------
7x=-3
x=-3/7
-2(-3/7)+y=15
6/7+y=15
y=15-6/7=105/7-6/7=99/7
PLS HELP ME
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.
(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)
To measure the forearm, measure inside the arm, between the wrist and the elbow.
Part 2
Organize your data and find the rate of change.
Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.
Select two sets of points and find the rate of change for your data.
Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3.
Answer:
part 1 its telling you to measure people
part two is telling you to put it into a graph and find the rate of change. more than likely there won't be a rate of change for you
part three:
y = 0.860x + 3.302
y = 0.860(17) + 3.302
0.860(17) = 14.62
14.62 + 3.302 = 17.922
y = 17.922
sorry this is as far as i had gotten
The three linear equations have y intercept of -3.8 and 7 respectively. Yet, a function can have only one y intercept. which of these is the y intercept of this function? explain how you made your choice.
Answer:
agagasg
Step-by-step explanation:
Edna learned to sing a total of 16 pieces over the course of 8 weeks of voice lessons. After 10 weeks of voice lessons, how many pieces will Edna be able to sing, in total? Assume the relationship is directly proportional.
when did my mom chop up my glizzy
A:2015
B:2017
C:2018
D:2020
Answer:
imma go wit B. I mean thats my guess
Ratio Relationships 5:9.
Answer:
What is the question?
Step-by-step explanation:
Can you help with did pretty please I'm stuck help just a, c ,d thanks luv.
Answer:
a) The slope of the function is 3.
c) The equation is represented by [tex]n(t) = 3\cdot t + 35[/tex].
d) The y-intercept of the function is 35.
Step-by-step explanation:
a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:
[tex]n(t) = m\cdot t + n_{o}[/tex] (1)
Where:
[tex]m[/tex] - Slope, measured in number of pieces per minute.
[tex]t[/tex] - Time, measured in minutes.
[tex]n_{o}[/tex] - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.
[tex]n[/tex] - Current number of pieces of mail that must be hand-sorted, measured in pieces.
From Geometry, we know that a line can be formed by know two distinct points. If we know that [tex]n(15\,min) = 80\,p[/tex] and [tex]n(45\,min) = 170\,p[/tex], then the following system of linear equations is formed:
[tex]15\cdot m + n_{o} = 80[/tex] (2)
[tex]45\cdot m + n_{o} = 170[/tex] (3)
The solution of the system of equations is:
[tex]m = 3[/tex] and [tex]n_{o} = 35[/tex]
The slope of the function is 3.
c) By (1) and using results from a) we conclude that the equation function is:
[tex]n(t) = 3\cdot t + 35[/tex] (4)
d) The y-intercept of the function is 35.
In a large city, 82% of residents own a cell phone. Suppose that we randomly select three city residents. What is the probability that at least one of the three residents does not own a cell phone
Answer:
P(X≥1) = 0.45 (approximately)
Step-by-step explanation:
Let X be a random variable, then X follows a binomial distribution with probability of success, p and number trials, n.
The probability distribution is given as:
P(X) = nCx * p^x * (1 – p)^(n – x)
Where p is Probability of success, n is number of trials and x is total number of successes.
Probability of having phone is 82% = 0.82
Probability of not having phone is 100% – 82% = 0.18.
Since the trials are interested in those that are not having phone, then probability of success, p = 0.18.
Number of trials, n = 3.
P(X ≥ 1) = 1 – P(X < 1) = 1 – P(X = 0)
P(X = 0) = 3C0 * (0.18)^0 * (0.82)^(3) = 1 * 1 * 0.551368 = 0.551368
P(X ≥ 1) = 1 – 0.551368 = 0.448632 ≈ 0.45
Answer:
.45
Step-by-step explanation:
copied
Write a function formula for f using the function g.
f(x)=
The answer is f(x) = g(x+2) + 1.
Write the number 270 as a sum of three numbers so that the sum of the products taken two at a time is a maximum. (Enter the three numbers as a comma-separated list.)
Answer:
x=y=z=90.
Step-by-step explanation:
let the 3 numbers be x,y,z.
let s be sum
s=x+y+z
we need to maximize xy+yz+zx
or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)
Use Lagrange's Multipliers
⇒ΔP= λΔS
⇒[tex]\frac{x+y}{x+z} =1[/tex]
⇒y=x
⇒\frac{x+z}{x+y} =1
⇒z=y
⇒x=y=z
⇒3x = 270
⇒x= 90
hence, x=y=z=90.
Sketch the graph
y= -x + 4
Answer:
You would need to put points at:
(-4,6)
(-3,5)
(-2,4)
(-1,3)
(0,2)
(1,1)
(2,0)
(3,-1)
(4,-2)
(5,-3)
(6,-4)
The graph will look like the one attached:
Hope this helps!!
- Kay :)
Roger buys a tennis racket for $75. He also buys packs of tennis balls that cost $6 per pack.
Which expression represents the amount Roger spends, in dollars, if he buys n packs of tennis balls and the racket?
6 + 750
6 - 75
75-6
75-6
Plz hurry its a very important test!!!
Answer:
Step-by-step explanation:
It's 6n+750= $, so it's A.)
Write four thousand twenty four and seventy six thousandths in
number
inta decimall
Answer:
4,024.076
Step-by-step explanation:
and = Decimal point
0 = tenths 7 = hundredths 6 = thousandths
Calculate the minimum sampling rate necessary to digitize the track with high fidelity (i.e. so that it sounds like it does when you hear the friend play it in person) for storage on a hard drive.
Step-by-step explanation:
Calculate the minimum sampling rate necessary to digitize the track with high fidelity for storage on a hard drive.
[tex]f_{z} &=1.2 \times 2 \mathrm{~W}[/tex]
[tex]=1.2 \times 2 \times(15 \mathrm{KHz})[/tex]
[tex]=36 \mathrm{kHz}[/tex]
Therefore, the minimum sampling rate necessary to digitize the track with high fidelity for storage on a hard drive [tex]\mathrm{}$ is $36 \mathrm{kHz}[/tex]
Solve the problem.
A dress regularly sells for $135. The sale price is $93. Find the percent decrease of the sale price from the regular
price.
31.1%
221.4%
45.2%
68.9%
Answer:
32% Decrease
Step-by-step explanation:
93 = x * 135 (divide both sides by 135 to get X alone.)
x=0.68 - Repeated (This tells us that it was paid 68% of the OG price.)
1 - 0.68 = 0.32 (We need to subtract the percent paid from the OG price to find the percent discount.)
The percent decrease was 32% off.
None of your answer choices are right!
What is the value of the expression (2)?
Answer:
Where is the expresion ??
Step-by-step explanation:
Sorry if you can’t really see it
Answer:
i cant see it
Step-by-step explanation:
Please Help ASAP!!
Simplify this
(x^3)(x^4)
What is the area of the trapezoid?
Answer:
a+b/2×h=56
Step-by-step explanation:
thanks needed.......
ANSWER NOW AND THEN U GET THE TEN POINTS
The student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council has 1014 feet of ribbon, how many complete bows can they make?
Answer:
They made 3 8/11
Step-by-step explanation:
How you solve this problem
Answer:
4.5cm, 7.5 cm, 6 cm
Step-by-step explanation:
Multiply 10, 8 and 6 by 0.75 to get answers
Answer: 4.5 , 6 , 7.5 will be the new measures
Step-by-step explanation:
Multiply each side by the dilation factor to find the new sides.
6*0.75 = 4.5
8 * 0.75 = 6
10*0.75 = 7.5
PLEASE HELP WILL MARK BRAINLIEST!!!!! +20 POINTS
only answer number 25.
Answer:
the one up: 21
the one down: 16
Oi anybody who solves this quick get 50 pts
Answer:
l like ya g
Step-by-step explanation:
I forgot mostly uHm
What is the equation of the following line? Be sure to scroll down first to see all the options
Answer:
A. y=5x
Step-by-step explanation:
Convert the following equation into
standard form.
y = -5x + 2
5x + [?]y = [ ]
Answer:
standard form is Ax + by + c = 0
Step-by-step explanation:
add 5x to each side to get 5x + y - 2 = 0
An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the following three questions. What is the probability of rolling a 5 and selecting the ace of hearts
Answer:
1/160
Step-by-step explanation:
Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.
Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.
In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.
1/5 * 1/32 = 1/160
Help me please Help me please
Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points
Answer:
A) ASA
the third angle is the common one
Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i = 1, 2, 3, and 4 respectively.)
Sample Regimen Sample Size Sample Mean Sample SD
Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2
Required:
a. What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?
b. Carry out the test suggested in part (a). State the appropriate hypotheses.
c. Find the value of the test statistic in this test.
Answer:
A.
This assumption is that the distribution of polyunsaturated fat % of each if these four regimes must be with equal variances as well as uniform.
B.
The null hypothesis
H0: μ1 = μ2 = μ3 = μ4
The alternate hypothesis:
H1: at least 2 means are unequal
C.
First we calculate the grand mean
= 1/54[15(42.9)+17(43.1)+8(43.7)+14(43.9)]
= (643.5 +732.7 + 349.6 + 614.6)/54
= 2340.4/54
= 43.341
Sum of squared treatment
= [15(42.9-43.341)²+17(43.1-43.341)²+8(43.7-43.341)²+14(43.9-43.341)²]
= 9.3104
Mean square of treatment
= SST/I-1
= 9.3104/4-1
= 9.3104/3
= 3.1035
Error sum of squared
= (15-1)*(1.3)² + (17-1)*(1.5)² + (8-1)*(1.2)² + (14-1)*(1.2)²
= 88.46
Error mean square
MSE = 88.46/54-4
= 1.7692
Test statistic
= 3.1035/1.7692
= 1.75