Answer:
the answer is d because 0.978 cool number like yaaaa.
Step-by-step explanation:
A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answer and Step-by-step explanation:
Given:
Charges includes 10 hour per month = $50
Charges for additional hour = $9
Piecewise definition of cost F(x) for a month in which a member use a car for hours.
Find limits?
Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Lim x → 10- F(x) = 50$
Lim x → 10 [ 9x – 70] = 9( 10) – 70
= 90 – 70
= 20 > 10
Limit does not exist.
Lim x → 10+ F(x) = 50$
Lim x → 10+ F(x) = Lim x → 10+ [90x – 70]
= 90 – 70
= 20 > 10
Limit does not exist.
Lim x → 10 F(x) = 50$
An integer or an decimal.
The limit does not exist.
The piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours is given by the equation,[tex]f(x)= 50+9(x-10)[/tex].
Given,
Membership plan is [tex]\$50[/tex] per month.
We have to write a piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours.
Here, [tex]\$[/tex][tex]$50[/tex] per month fees includes 10 hours of driving each month, so the cost for a month is given as,
[tex]f(x)= 50+9(x-10)[/tex]
Here [tex]x[/tex] is the no. of additional hours for the month.
Further,
[tex]f(x)= 9x-40[/tex].
Now at,
[tex]lim _{x \to 10^+}f(x) = 9\times 10-40\\[/tex]
Or,
[tex]f(x)= 90-40\\f(x)=50[/tex]
Similarly, at left limit,
[tex]lim _{x \to 10^-}f(x) = 9\times (-10)-40[/tex]
Or,
[tex]f(x)=-90-40[/tex]
[tex]f(x)=-130[/tex]
Finally at [tex]x=10[/tex], [tex]f(x)=9\times10-40[/tex]
[tex]f(x)=90-40\\f(x)=50[/tex]
Since [tex]lim{x \to}10^+[/tex] [tex]\neq limx\to 10^-\neq f(x) (at x= 10)[/tex]
So the required function [tex]f(x)[/tex] is discontinuous at [tex]x=10[/tex]
Hence the piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours is given by the equation,[tex]f(x)= 50+9(x-10)[/tex].
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Help me if you can I would appreciate it thx
Answer: For the first one its J
The second one its H
Step-by-step explanation:
I have 47 red marbles and 76 blue marbles estimate the total number of marbles I have
Answer:
about 130 marbles
Step-by-step explanation:
round 47 to 50
round 76 to 80
you have about 130 marbles
Answer:
About 100.
Step-by-step explanation:
47+76=123
123 is closer to 100 than to 200.
The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card? Select all that apply. A. $2.86 B. $47.86 C. $45.00 D. $47.70 E. $35.29 F. $48.25
Answer:
B C A
Step-by-step explanation:
eli worked on a part time job in summer for 6 days. he worked 4 hours on each of the 6 days. he was paid a total of 300 for his work. how much did he get paid for each hour he worked? writer your number as a mixed number in the simplest form.
Answer:
$12.50 per hour
Step-by-step explanation:
My four-year-old son loves playing out in the garden. His favourite activity is digging up and inspecting creepy crawlies, especially snails. If he is patient enough, after the initial shock of being uprooted, they will emerge cautiously from the safety of their shells and start to glide over his little hands leaving viscid trails of mucus. Eventually, when he tires of them, he will discard them, somewhat callously, in the compost heap or on the woodpile behind the shed. Late last September, after a particularly busy session in which he had unearthed and disposed of five or six large specimens, he came to me as I was sawing up wood for the fire and asked ‘Daddy, how many snails is [sic] there in the garden?’ A deceptively simple question for which I had no good answer. It could have been 100 or it could have been 1000. To be quite honest, he would not have comprehended the difference. Nevertheless, his question piqued an interest in me. How could we figure this out together? We decided to conduct an experiment. The next weekend, on Saturday morning, we went out to collect snails. After ten minutes, we had a total of 23 of the gastropods. I took a sharpie from my back pocket and proceeded to place a subtle cross on the back of each one. Once they were all marked up, we tipped up the bucket and released the snails back into the garden. A week later we went back out for another round. This time, our ten-minute scavenge brought us just 18 snails. When we inspected them closely we found that three of them had the cross on their shells, while the other 15 were unblemished. This was all the information we needed to make the calculation. What is the total amount of snails
Answer:
There are 38 snails.
Step-by-step explanation:
can you guy help me quick wit this please
State whether each equation is true or false. For each equation that is true, write the number property shown by the equation.
a. 0 + 17 = 17. True or False?
false
Property:
communitive
b. 15 ÷ 3 = 3 ÷ 15. True or False?
true
Property:
comunitive
c. 2 + (4 + 9) = (2 + 4) + 9. True or False?
true
Property:
asociotive
d. 14 • 0 = 14. True or False?
false
Property:
Multiplication Property of Zero
fix the wrong answers
Step-by-step explanation:
a. true
property: identity
b. false
property: communitive
c. true
associative
d. false
property: multiplication property of zero
How do you do these 2 questions?
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
A shirt is on sale for 25% off, and the total comes out
to $15. What is the original price?
Answer:
$18.75
Step-by-step explanation:
Please help people!!!!! I’m stupid
X=8(1+2+3+...+49)+1225
Write the equation of a line that passes through the point (-2, 1) and has a slope of 4. A. y = 4x − 7 B. y = 4x + 1 C. y = 4x + 3 D. y = 4x + 9
Answer: D. y = 4x + 9
Step-by-step explanation:
Substitute the values of y and x from the given coordinate into the slope-intercept form using the given slope. Then solve for b
y = mx + b Given: Slope = 4 Coordinate (-2, 1)
1 = 4(-2) + b
1 = -8 + b add +8 to both sides, "cancels" -8 on right
1+ 8 = b
9 = b Rewrite equation using original slope and calculated b
y = 4x + 9
Sue bought 2 large cans of dark beans and 4 pounds of chicken. Each can of beans
costs $2.19. Her total cost was $ 20.34. How much did each pound of chicken cost?
Which each equation could you write to solve this problem?
Answer:
3.99
Step-by-step explanation:
2.19x2=3.99
20.34-4.39=15.96
15.96 divided by 4 =3.99
What type of number is V40?
Choose all answers that apply:
А
Whole number
B
Integer
С
Rational
D
Irrational
PLEASE ANSWER!!!
Answer:
A, B, and C
Step-by-step explanation: I'm going to assume the V is a typo. 40 is a whole number (it isnt a fraction or decimal), an integer, and rational because it is a real number and ends.
Yousef typed a 36-word paragraph in 23 minute. What is his typing speed, in words per minute?
Answer:
1.5652173913 words per minute.
Step-by-step explanation:
When you divide 36 words/ 23 minutes, you get 1.5652173913.
you want new jeans and there is a sale this week where they are marked down 30%. what is your final cost if the original price is $50?
Answer: 15 dollars
Step-by-step explanation:
0.3 * 50
5. A Ferrari gets 14 miles per gallon of gas. Gas costs $3.18 per gallon. If the Ferrari's gas
tank holds nineteen gallons, and assuming the tank was empty, how much would it cost to fill
the tank and how far could the Ferrari go before it ran out of fuel?
Answer:
44.52
Step-by-step explanation
Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value between 29.0 and 55.0. Use Table IV in Appendix C to compute the probabilities. Round your answer to four decimal places.
Answer:
i think it is between 22 and 35
Step-by-step explanation:
Alexa is using 6 pounds of apples to make pies.
How many ounces of apples is Alexa using for the pies?
(1 pound = 16 ounces)
Answer: The answer would be 96 ounces
Step-by-step explanation: You simply multiply 6 by 16 because that's how you convert pounds to ounces.
Answer:It would be 96 ounces because you would fo 16 × 6 = 96
2
[tex] 2 \times 2[/tex]
Answer:
4
Step-by-step explanation:
2 × 2 = 4
Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation
Answer: 1) 500, 000
2) Five hundred thousand
3) [tex]5\times10^5[/tex]
Step-by-step explanation:
To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )
5 of 100, 000 = 5 x 100, 000 = 500, 000
In word - Five hundred thousand [ as place value of 5 = hundred thousand]
In scientific notation, [tex]500, 000=5\times10^5[/tex]
Hence, the required expressions:
1) 500, 000
2) Five hundred thousand
3) [tex]5\times10^5[/tex]
Solving and Graphing a Compound Inequality
Select the graph that represents the solution of the compound inequality-6 S 4x + 6 < 14.
-5
2.
-1
0
1
+
4
2
3
5
4 3
-2
1
1
0
2
4
1
-3
-2
11
2
0
1
3
4
5
-2
-1
0
1
1
+
2
+
3
+
4
5
In 2012, there were approximately 275 students in the Delaware High School band. In 2018, that number increased to 305. Find the annual rate of change in the number of students in the band.
A rate of change tells us how one quantity changes in relation to another quantity.
The annual rate of change in the number of students in the band is 5.
What is rate of change?A rate of change is a rate that tells us how one quantity changes in relation to another quantity.
We have,
Number of students in the band in 2012 = 275
Number of students in the band in 2018 = 305
The rate of change in the number of students in the band:
= 305 - 275 / 2018 - 2012
= 30 / 6
= 5
Thus the annual rate of change in the number of students in the band is 5.
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#SPJ2
Solve 6x - 7y= 16 for y.
Answer:
y = 6/7x -16/7
Step-by-step explanation:
6x - 7y= 16
Subtract 6x from each side
6x-7y-6x = -6x+16
-7y = -6x+16
Divide by -7
-7y/-7 = -6x/-7 + 16/-7
y = 6/7x -16/7
6x - 7y = 16
Subtract 6x from both sides.
-7y = -6x + 16
Divide both sides by -7
y = 6/7x - 16/7
A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there
Answer:
78936000 possible selections
Step-by-step explanation:
Given
Letters = 5
Digits = 1
Required
Possible number of selection.
Since the letters can't be repeated and there are 26 alphabets.
The first letter can be any of 26
The second = 25
The third = 24
The fourth = 23
The fifth = 22
The digit can be any of 0 - 9 (10 digits).
So.
The possible number of selection is.
Number = 26 * 25 * 24 * 23 * 22 * 10
Number = 78936000
The cost of a taxi ride is represented by the function c(m)=2m +4, where m is the number of miles traveled. Use the graphing tool to graph the function
Answer:
So first you must understand what your function represents the 2 is your (slope of the line) the +4 is the y intercept.
So you need to plot a point at (0,4) and then you need to use the slope to go up 2 units over 1 unit. And you need to use the negative of the slope to the left of the point you plotted on the y - int so you need to go down 2 units and left 1.
Hope you understood if you didn't drop a comment and I will try to reply.
Find the cardinal number of the set:
{2,4,6,...,18}
Answer:
9
Step-by-step explanation:
The cardinality of a set - the number of terms in that set.
in the set {2, 4, 6, ... 18}
We can assume that the numbers follow a pattern: in this case, the pattern is multiples of 2 till 18 starting with 2.
so that means that the full set is
{2, 4, 6, 8, 10, 12, 14, 16, 18}
There are 9 numbers in that set;
so the cardinality of the set is 9
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is
the slope-intercept form of the equation for this line?
O y= {x+ 2
O y={x-4
oyufx &
O y=2x-Ź
Answer:
Step-by-step explanation:
The answers is A
can someone tell me what to write of how i found the answer please ?!
Answer:
108
Step-by-step explanation:
4−22+135−9
=−18+135−9
=117−9
=108
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answer:
(22,0)
Step-by-step explanation:
22 0
35 -15
48 -30
61 -45
74 -60