Answers
Answer:
[tex]-\frac{11}{6}\ \frac{inches}{second}[/tex]
Step-by-step explanation:
Rate of Change
The average velocity is defined as the rate of change of the distance with respect to time. The table shows the distances of an object as a function of time.
It's required to find the average velocity between 8 s and 20 s.
The rate of change can be approximated as the slope between two points. We take from the table the points (8,32) and (20,10) and calculate the slope.
The slope can be calculated with the equation:
[tex]\displaystyle v=\frac{d_2-d_1}{t_2-t_1}[/tex]
[tex]\displaystyle v=\frac{10-32}{20-8}=\frac{-22}{12}[/tex]
Simplifying:
[tex]\displaystyle v=-\frac{11}{6}[/tex]
Choice: B. [tex]\mathbf{-\frac{11}{6}\ \frac{inches}{second}}[/tex]
Related Questions
A 32-ounce tub of yogurt contains 5 servings. How many ounces of yogurt are in 1
serving?
Answers
Answer:
32/5 ounces or approximately 6.4 ounces.
Step-by-step explanation:
We are trying to find the unit rate, so divide 32 by 5 to see how many ounces in just 1 serving.
Answer:
6.4 Ounces in 1 serving
Step-by-step explanation:
Here to find how many ounces of yogurt there are in 1 serving:
we create an expression:
[tex]\frac{x}{1} = \frac{32}{5}[/tex]
Then we simplify:
5x = 32
x= 32/5
x=6.4 Ounces
Pls help ...........
Answers
For the function g(x) = 5x – 3, what is the value of g(–3)?
A.
–1
B.
–12
C.
–18
D.
–30
Answers
Answer:
Step-by-step explanation:
C
Answer:
g(-3) = -18
Step-by-step explanation:
g(x) = 5x – 3
g(-3)=5*(-3)-3
= - 15-3
= -18
(WILL GIVE ANSWER POINTS)
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Answers
Which of the following is a step in simplifying the expression ?
Answers
Answer:
the first one is the answer
Find the equation of the line I NEED HELP
Answers
Answer:
y = 2x + 3
Step-by-step explanation:
Select the correct answer.
What is the solution of 5/2x-7=3/4x+14
A. X=-6
B. X=6
C. X=8
D. X=12
Answers
Answer x=12
Step-by-step explanation:
5/2x-7=3/4x+14
+7. +7
5/2x=3/4x+21
-3/4x -3/4x
5/2-3/4=7/4x
7/4x=21. since there's a fraction on one side, multiply 4 with 21
7x=84
divide and you'll get x=12
[tex] \frac{5}{2} x(4) - 7(4) = \frac{3}{4} x(4) + 14(4) \\ 10x - 28 = 3x + 56[/tex]
Solve the equation for x-term.[tex]10x - 3x = 56 + 28 \\ 7x = 84 \\ x = \frac{84}{7} \\ x = 12[/tex]
Answer[tex] \large \boxed {x = 12}[/tex]
Find the volume of the cylinder
Answers
Answer:
7 x 7 x 17 =833
Step-by-step explanation:
833in^3
Write a system of equations to model the problem below. Then show the steps to solve your system.
Heather's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 6 adult tickets and 7 student tickets for a total of $120. The school took in $168 on the second day by selling 12 adult tickets and 2 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answers
Answer:
Price of adult ticket = x = $13
Price of student ticket = y = $6
Step-by-step explanation:
Let Price of adult ticket = x
Price of student ticket = y
Now, making equations:
On the first day of ticket sales the school sold 6 adult tickets and 7 student tickets for a total of $120. The equation will be:
[tex]6x+7y=120[/tex]
The school took in $168 on the second day by selling 12 adult tickets and 2 student tickets. The equation will be:
[tex]12x+2y=168[/tex]
Now, solving the equations simultaneously to find values of x and y.
Let:
[tex]6x+7y=120--eq(1)\\12x+2y=168--eq(2)[/tex]
Multiply eq(1) by 12 and then subtract both equations
[tex]12x+14y=240\\12x+2y=168\\-\:\:\:-\:\:\:\:\:\:\:\:\:-\\--------\\12y=72\\y=\frac{72}{12}\\y=6[/tex]
So, we get value of y: y=6
Now, Put value of y in equation 1 to find value of x
[tex]12x+2y=168\\Put\:y=6\\12x+2(6)=168\\12x+12=168\\12x=168-12\\12x=156\\x=\frac{156}{12}\\x=13[/tex]
So, we get value of x: x=13
The answer would be:
Price of adult ticket = x = $13
Price of student ticket = y = $6
Yesterday, there were 40 problems assigned for math homework. Greta did 90% of them
correctly. How many problems did Greta get right?
Answers
Answer:
36
Step-by-step explanation:
10% of 40= 4
4X 9 =36
36
Answer:
she did 36 of them right
Step-by-step explanation:
i looked it up
Find the value of each expression
-22-(-5)
Answers
Answer:
-17
Step-by-step explanation:
-22-(-5) = -22+5 = -17
Answer:
the answer is -17
Step-by-step explanation:
-22-(5)-22+5=-17
Alex is tracking how many computers he can fix in an afternoon. He listed the number of computers fixed per hour in the following table: Hour (x) Number of Customers f(x) 1 4 2 8 3 12 Determine if these data represent a linear function or an exponential function, and give the common difference or ratio.
Answers
This is a linear function because there is a common difference of 4
⇒ 2nd answer
Step-by-step explanation:
- In the linear function there is a common difference between each two
consecutive data
- In the exponential function there is a common ratio between each two
consecutive data
- Lats check the data in the data in the table
(x) === 1 ⇒ 2 ⇒ 3
f(x) === 4 ⇒ 8 ⇒ 12
∵ x has consecutive numbers 1 , 2 , 3
∵ 8 - 4 = 4
∵ 12 - 8 = 4
∴ f(x) has a common difference 4
∵ 8 ÷ 4 = 2
∵ 12 ÷ 8 = 1.5
∴ f(x) has no common ratio
∴ The table represents a linear function with common difference 4
This is a linear function because there is a common difference of 4
The final exam grade of a statistics class has a skewed distribution with mean of 79 and standard deviation of 8.2. If a random sample of 35 students selected from this class, then what is the probability that average final exam grade of this sample is between 76 and 82
Answers
Answer:
0.9696
Step-by-step explanation:
Given that:
Mean, m = 79
Standard deviation, s = 8.2
Sample size, n = 35
Probability that final exam grade of the sample is between 76 and 82
P(76 < x < 82)
P(x < 82) - P(x < 76)
Using the relation :
Z = (x - m) / (s/sqrt(n))
s / sqrt(n) = 8.2/sqrt(35) = 1.3860529
P(x < 82) - P(x < 76)
P[(82 - 79) / 1.3860529] - P[(76 - 79) / 1.3860529]
P(Z < 2.1644) - P(Z < - 2.1644)
Using the Z probability calculator :
0.98478 - 0.015217
= 0.969563
Hence, probability = 0.9696
Click and drag like terms onto each other to simplify fully.
-–2x+5+3+y +2x–3x
Answers
Answer:
8 + y - 3x
Step-by-step explanation:
I just did it
What is the diameter of the circumference of pi?
Answers
f(x) =2x+4 translate 7 units left
Answers
Answer:
[tex]f'(x) = 2x - 10[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x + 4[/tex]
Required
Translate 7 units left
When a function f(x) is translated b units to the left, the resulting function is:
[tex]f'(x) = f(x-b)[/tex]
In this case:
[tex]f(x) = 2x + 4[/tex]
[tex]b = 7[/tex]
[tex]f'(x) = f(x-b)[/tex] becomes
[tex]f'(x) = f(x - 7)[/tex]
Calculating [tex]f(x-7)[/tex]
[tex]f(x-7) = 2(x-7)+4[/tex]
[tex]f(x-7) = 2x-14+4[/tex]
[tex]f(x-7) = 2x-10[/tex]
So:
[tex]f'(x) = 2x - 10[/tex]
if Peter pays $84 to buy a watch after discount of 20% find the original price of the watch
Answers
Answer:
$100.80
Step-by-step explanation:
84 x 1.2 = 100.8
What is 51% of 62 estimated as a fraction
Answers
Answer:
31.62
Step-by-step explanation:
I hope this helps =)
please help will do brainliest please. :(
Answers
Answer:
there is no question to answer lol
The speed of cars on a stretch of road is normally distributed with an average 40 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly selected car is violating the speed limit of 50 miles per hour?
Answers
Answer:
0.91
Step-by-step explanation:
I need someone’s help please
Answers
Answer:
A
Step-by-step explanation:
the first one because it is equilivent 5/4 and that is greater than a half
Please help I’m stuck on this...30 points for the best answer pls hurry and help
Answers
Answer:
it is A, the first one
Step-by-step explanation:
bc +6 and then -10 it ends up on -4
The expression 12,585 (1-x) gives the discounted price of a car, where x is the percent of the discount written in decimal form. What does the 12,855 represent in this expression?
A) discounted price of the car
B) percent of discount
C) percent of the original price being paid
D) price of the car before your discount
Answers
Answer: Answer is
price of the car before the discount
Step-by-step explanation:
The Clear Talk cellular company claims that the average monthly cellular bill of each of their customers is $78.85 with a standard deviation of $7.35. Jolie, a Clear Talk cellular customer, has an average monthly cellular bill of $87.35. Given that the data is approximately normal, standardize the value of the cellular bill and find the area under the normal curve above the standardized cellular bill balance.
A.
The area above the standardized cellular bill balance is 1.16.
B.
The area above the standardized cellular bill balance is 0.877.
C.
The area above the standardized cellular bill balance is 0.113.
D.
The area above the standardized cellular bill balance is 0.0548.
Answers
solve for x. show your work. 2x^2+8x=-10
Answers
Answer:
120
Step-by-step explanation:
A linear function passes through (-2, 12) and (4,0). What is the slope of the function?
Answers
Answer:
-2
Step-by-step explanation:
I actually just did functions in math at the end of last semester I offer you my condolences dude
The slope of the function that passes through two points (-2, 12) and (4,0) is -2
Slope of the function
Slope of the function is calculated by find the rate of change of y over rate of change of x.
The formula to fidn out the slope is
[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]
The function passes through two points (-2,12) and (4,0)
substitute the points and find out the slope of the fuction
(x1,y1) is (-2,12)
(x2,y2) is (4,0)
Substitute the values
[tex]slope =\frac{0-12}{4+2}=\frac{-12}{6} =-2[/tex]
The slope of the function that passes through two points (-2, 12) and (4,0) is -2
Learn more information about 'slope' here
brainly.com/question/3493733
The volume of a cylinder is 72 7 cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
A. 4 cm
B. 8 cm
O C. 24 cm
D. 12 cm
Answers
Answer:
The answer is B. 8 cm
Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter. They decide to use a random number table to sample 10 of the 78 members. Which of the following correctly labels the population?
A.) 0–78
B.) 1–78
C.) 00–78
D.) 01–78
Answers
Answer:
D
Step-by-step explanation: edge 2021
what is the percent error if the bolt is actually 2.5 inches long is measured to be 2.6 inches long?
Answers
Given :
Actual length of the bolt is 2.5 inches.
Measured length of the bolt is 2.6 inches.
To Find :
The percent error of the bolt.
Solution :
We know, percentage error is given by :
[tex]\delta =| \dfrac{Actual\ Value - Expected\ Value}{Expected\ Value}|\times 100\\\\\delta =| \dfrac{2.6-2.5}{2.5}|\times 100\\\\\delta = 4 \%[/tex]
Therefore, the percentage error in the bolt is 4% .
Answer:
D) 4%
Step-by-step explanation:
Please trust me!
MAKE SURE TO TAKE BREAKS AND DRINK WATER!
<3
please help me please
Answers
Answer:
0.09,70%,5/8, 0.8
Answer:
5. 0.99, 18/3, 6.5, and 27/3
6. 27
7. 72
8. 85
9. 16
10. im not sure
11. 48
12. 1851. 42857
13. 144
14. Im not sure
15. I don't know
16a. 327
16b. 62
16c. I don't know
16d 120
17 107
17b 114$
18. Im not sure
Step-by-step explanation: Math caculation
