Answers
To write an equation for this line, you first need to understand how to derive it.
Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:
y = mx + b
m: The slope of the line
b: The y-intercept (The point where the line is at the y-axis)
Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.
The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially [tex]\frac{rise}{run}[/tex]
Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.
Therefore:
m = [tex]\frac{rise}{run}[/tex]
m = [tex]\frac{22}{1}[/tex]
m = 22
We now have the first variable of the equation.
y = 22x + b
What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.
As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:
y = 22x + 0
y = 22x
If you'd like me to explain how I did anything, just ask!
- breezyツ
Answer:
Equation: y=22x + 0 (you can put 0 if you want)
Step-by-step explanation:
Okay, so this is set up as a y=mx+b equation meaning that m=rate of change and b=y-intercept. If a cheetah runs 22 feet per second which is x, that means that m=22. And if 1 second is equal to 22 feet then in 0 seconds they run 0 feet, which is your y-intercept. Another way to find the rate of change (m) is by using the equation y2-y1/x2-x1 or 44-22/1 in this case. This equation is usually written as y=22x. Hope this helps!
Related Questions
jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates
Answers
Answer:
90
Step-by-step explanation:
29. The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. Based on the average annual salaries in the table, how much more would an accountant eam than a tax preparer over a 30 year career? Occupations Occupation Average Annual Salary (dollars) Level of Education Required Accountant 71,040 41,700 Bachelor's degree High school diploma Tax preparer A $112,740 B. $3,382,200 C. $880,200 D. $1,251,000
Answers
Answer:
c. 880,200
Step-by-step explanation:
ur welcome
Solve equation by using the quadratic formula.
2x? + 13x = 0
Answers
Answer:
c
Step-by-step explanation:
Ryan has 4 rap songs, 8 country songs, and 2 rock songs.  what is the probability of Ryan picking a rock song or a Pop song
Answers
Answer:
Step-by-step explanation:
Total songs = 8 + 4 + 2 = 14 songs
number of rock songs = 2
Number of rap songs = 4
Probability of rock songs = 2/14 = 1/7
Probability of rap songs = 4/14 = 2/7
Alex finds a remnant of landscaping fabric at a garden store . The fabric is the standard width , with length 9.7 m . Alex needs twelve 0.85 - m pieces for a garden patio . a ) Will Alex have more fabric than she needs ? If so , how much more ? b ) Will Alex need more fabric ? If so , how much more ?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Length of remnant fabric = 9.7m
Number of 0.85m length needed for patio = 12
Total length needed = (0.85 * 12) = 10.2m
The length of fabric needed is more than the length of remnant fabric found ;
10.2 m - 9.7m = 0.5m
Hence, Alex will need 0.5m more fabric
uld observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. If we had used the more accurate software approximation for the degrees of freedom, how would the 90% confidence interval compare to the one constructed with the more conservative value for degrees of freedom
Answers
Answer:
hello your question is incomplete attached below is the complete question
answer : It would be narrower ( C )
Step-by-step explanation:
When The 90% confidence interval is compared to the one constructed ( i.e. one with a more conservative value for degrees of freedom ) it would be narrower and this is simply because the conservative df does not put into consideration the fractional part .
Are all rectangles and squares are parallelograms ?
Answers
Answer:
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
Yes, they are.
Answer:
Yes
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.
Hope it is helpful....BC
Round your answer to the nearest hundredth.
А
50°
?
3
B
Answers
Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
How do I solve this???
Answers
Answer:
Step-by-step explanation:
What is the answer for 82-(72+1)
Answers
Answer:
The answer should be 9.
Step-by-step explanation:
Will give brainliest and 50 points to who ever gives me the answer and not a link
Find the surface area of the
triangular prism.
10 ft.
3 ft.
ft.
3 ft.
[?] sq ft.
Answers
Area = 1/2bh = 1/2 x 3 x 2 = 3
Now calculate the area of the rectangular surfaces
Area = lw = 3 x 10 = 30
Add 2 triangle and 3 rectangles
Total area = 3 + 3 + 30 + 30 + 30 = 96 sqft
What is the answer to this
Answers
Answer:
The answer is x = 8
Step-by-step explanation:
What is y in this equation
Answers
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
Explanation/ none
I need help with math asap
Answers
um where’s the question?
What is the product of -8 and -7
Answers
Answer:56
Step-by-step explanation: -8x-7=56
Answer: -15
Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)
Can anyone help me please i already did one but I am begging for help
Answers
Answer:
#5)
Figure 1: 4
Figure 2: 9
Total: 13
#6)
Figure 1: 10
Figure 2: 30
Total: 40
#7)
Figure 1: 36
Figure 2: 36
Total: 72
#8)
Figure 1: 12
Figure 2: 28
Total: 40
(The numbers in the image are incorrect)
Which number describes the median of the data given in the table?
Answers
Answer:
how can i answer?
Step-by-step explanation:
please please help me i’ll give you brainliest
Answers
hope it helps
can u tell me is this test important or not
Answers
Answer:
Yes, indeed it is one of the most important examinations.
PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!
Answers
Answer:
A) 12 thousand packets a day
B) 384 thousand Sen
Step-by-step explanation:
If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.
To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips
A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.
Answers
9514 1404 393
Answer:
length: 24 ftwidth: 42 ftStep-by-step explanation:
The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...
L(2L -6) = 1008
L² -3L -504 = 0 . . . . . divide by 2, put in standard form
(L -24)(L +21) = 0 . . . . factor
L = 24 . . . . makes the first factor zero
W = 2L -6 = 2(24) -6 = 42
The length of the rectangle is 24 feet; the width is 42 feet.
A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-intercept
form?
Answers
explanation: y=mx+b
Answer:
y=6x+9
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
Invent measurements that would show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
Answers
Answer:
The answer is that when you put the LMN. You can rotate it. Then we know it is similar.
Using the rotation method of the triangle LMN show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
What is the similarity law for triangles?It is necessary to demonstrate compliance with the law to establish that two triangles are identical in both shape and size. The angles that correspond to those sides have the same congruence and the same ratio of sides.
It is given that the two triangles are triangle XYZ and triangle NLM.
Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Thus, triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ2
Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?
Answers
Find the surface area of the rectangular prism be sure to include the correct unit in your answer
Answers
Answer:
SA = 292 m²
Step-by-step explanation:
SA = (2x6x8)+(2x7x6) + (2x7x8) = 292 m²
Ther *must* be an faster way of symplifying this expression. What could I have done differently?
Answers
Answer:
3x4
Step-by-step explanation:
You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12
The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)
Answers
Answer:
H0 : μ = 3.2
H1 : μ > 3.2
1.982
We fail to reject the Null ;
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Step-by-step explanation:
μ = average time taken by the previous contractor. ; μ = 3.2
H0 : μ = 3.2
H1 : μ > 3.2
Sample size, n = 12 ;
X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
xbar = Σx / n = 53.2 / 12 = 4.43
Standard deviation, s ; using a calculator :
s = 2.15
B.)
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(4.43 - 3.2) ÷ (2.15 / sqrt(12))
1.23 ÷ 0.62065
= 1.982
C.)
Decision Region :
If Pvalue < α ; Reject the null
α = 0.05
Pvalue :
P(x < 1.982) = 0.9762
0.9762 > 0.05 ; Hence, we fail to reject the Null
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?
Answers
Answer:
dimensions are 2 ft, 24ft
Step-by-step explanation:
width = w
length = 12w
Area of rectangle = 48 square feet
length * width = 48
12w * w = 48
12w² = 48 {Divide both side by 12}
w² = 48/12
w² = 4 =2²
w =2 ft
l = 12*2 = 24ft
Answer:
Solution :-Let the width be w and Length will be 12w
So,
Area = lw
48 = 12w × w
48/12 = w²
4 = w²
√4 = √w²
2 = 2
Length = 12(2) = 24 cm
Breadth = 2 cm
[tex] \\ [/tex]
Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18
Answers
Answer:
is 16 foot a part from the building
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answers
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes