(Ill give brainliest!!)
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
A) six and two thirty thirds kilometers
B) five and twenty five thirty thirds kilometers
C) six and twenty five thirty thirds kilometers
D) six and twenty thirty thirds kilometers
Answer:
c
Step-by-step explanation:
B. Determine the values of a and b so that f is continuous
f(x)= { x^2 +a if x > or = 3
bx+a if x is > 3 and if x is less than 3
root -b-x if x < or = -3
Answer:
Step-by-step explanation:
For a function to be continuous
The right hand limit f'+(x) must be equal to the left hand limit f'-(x)
The right hand limit exist at where x>3
The resulting function is. x²+a
If x = 3
f'+(3) = 3²+a
f'+(3) = 9+a
For the left hand limit, this exist where
bx+a
f'-(x) =bx+a
f'-(3) = 3b+a
Since f'+(3) = f'-(3)
9+a = 3b+a
9 =3b
b = 9/3
b = 3
At the end point x = -3
For the left hand limit
f-(x)= √-b-x
f-(-3) = √-b-(-3)
f(-3) = √-b+3
For the right hand, the function is bx+a
f'+(x) = bx+a
f+(-3) = -3b + a
Equate both limits
√-b+3 = -3b+a
√-3+3 = -3(3)+a
0 = -9+a
a= 9
Hence a = 9 and b = 3
PLEASEEE HELPPP. 20 points
In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of cars sold for the year. If the salesman sold cars valued at $720000 in 2009 calculate:
(i) his fixed salary for the year
(ii) the amount he recieved in commision for the year
(iii) his TOTAL income for the year
Answer:
i. $ 37,560
ii. $14,400
iii. $51,960
Step-by-step explanation:
3130 x 12 = 37,560
2% of 720,000 = 14,400
14,400 + 37,560 = $51,960
Answer:
(i) 3 140 × 12 = 37 680
(ii) 720 000 × 2% = 720 000 × 0.02 = 14 400
(iii) 37 680 + 14 400 = 52 080
If a household appliance had a wattage of 4,694 amd is in use for 10 hours, how much Co2 was produced
Answer: 4.64805 pounds of CO₂ was produced
Step-by-step explanation:
Given that;
wattage = 4694 watt = 4694 /1000 = 4.694 kW
time in use t = 10hrs
CO₂ was produced = ?
Total Energy produced = wattage × time = 4.694 kW × 10hrs = 46.95 kWh
we know that 1 kWh produces 0.99 pounds of CO₂
so
46.95 kWh will produce ⇒ 46.95 kWh × 0.99 = 4.64805 pounds of CO₂
Therefore 4.64805 pounds of CO₂ was produced
Find d^2y/dx^2 if 5x^3 - y^3 = 25
A. -250x/y^5
B. (10x(y^2-x))/y^3
C. 5x^2/y^2
D. (10(y^2-5x^4))/y^3
E. 30x - 6y
Answer:
[tex]y''=\frac{-250x}{y^5}[/tex]
Choice A.
Step-by-step explanation:
We are given:
[tex]5x^3-y^3=25[/tex]
We are asked to find:
[tex]\frac{d^2y}{dx^2}[/tex]
This requires we first find:
[tex]\frac{dy}{dx}[/tex]
Let's begin.
We will differentiate the right hand side using the constant rule since 25 is just a constant. We will differentiate the left hand side using difference rule and then constant multiple rule and then power rule and chain rule.
[tex](5x^3-y^3=25)'[/tex]
[tex](5x^3-y^3)'=(25)'[/tex]
[tex](5x^3)'-(y^3)'=0[/tex]
[tex]5(x^3)'-(y^3)'=0[/tex]
[tex]15x^2-3y^2y'=0[/tex]
Now let's solve for [tex]y'[/tex].
Add [tex]3y^2y'[/tex] on both sides:
[tex]15x^2=3y^2y'[/tex]
Divide both sides by [tex]3y^2[/tex]:
[tex]\frac{15x^2}{3y^2}=y'[/tex]
Symmetric property of equality:
[tex]y'=\frac{15x^2}{3y^2}[/tex]
Simplify right hand side:
[tex]y'=\frac{5x^2}{y^2}[/tex]
Now let's find the second derivative by differentiating both sides of this equation. We will use the quotient rule on the right hand side:
[tex]y''=\frac{(5x^2)'y^2-5x^2(y^2)'}{(y^2)^2}[/tex]
[tex]y''=\frac{10xy^2-5x^2(2yy')}{y^4}[/tex]
We can replace [tex]y'[/tex] with [tex]\frac{5x^2}{y^2}[/tex]... since we just got this result before differentiating both sides of an equality again.
So we have:
[tex]y''=\frac{10xy^2-5x^2(2y\frac{5x^2}{y^2})}{y^4}[/tex]
Let's simplify the 2nd term on top by cancelling a common factor of y in that term from top and bottom:
[tex]y''=\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
We still don't like having this compound fraction (a mini fraction inside a bigger fraction). Let's get rid of that...Multiply numerator and denominator by [tex]\frac{y}{y}[/tex] for the big fraction to clear the mini fraction out.
[tex]y''=\frac{y}{y}\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
Distribute:
[tex]y''=\frac{10xy^3-5x^2(2)5x^2}{y^5}[/tex]
Simplifying a bit more:
[tex]y''=\frac{10xy^3-50x^4}{y^5}[/tex]
We could factor the top a bit... both terms on top of a common factor of [tex]10x[/tex]:
[tex]y''=\frac{10x(y^3-5x^3)}{y^5}[/tex]
Notice the thing in ( ) on top is the exact opposite of the left hand side of our original equation: [tex]5x^3-y^3=25[/tex].
This implies we can replace it with -25:
[tex]y''=\frac{10x(-25)}{y^5}[/tex]
[tex]y''=\frac{-250x}{y^5}[/tex]
L'architecte___________beaucoup.
parle
dessine
écrit
mange
what is the correct answer ♂️♂️?
help! open the attachment below!
Answer:
yes it is
Step-by-step explanation:X=side lenghths 2/3
Y=perimeter 12/18
2 time 6=12 and 3 times 6=18 and it is paraticly telling you
2/6 and 3/6 i beleve i need a lil more info
A turtle walks 12 feet in one hour. How many inches does the turtle walk in one hour?
False regarding Earnest money
Answer:
?
Step-by-step explanation:
Answer:
Earnest money is typically in the form of a check.
Step-by-step explanation:
Not everyone writes checks. Can be paid in any form.
Gail collects trading cards. Her favorites are baseball and football cards. For
every 10 baseball cards she owns, Gail has 17 football cards. What is the
ratio of baseball cards to football cards in her collection?
O A. 17:10
B. 10 and 17
O c. 12
O D. 17 to 10
Step-by-step explanation:
its ratio so it has to be A
Plzzz answer thank you :))
Answer:
booger
Step-by-step explanation:
bc
A football team gains 8 yards, looses 15 yards, than gains 20 yards. What was their total yards gained?
Answer:
The total yards gained was 13 yards.
Step-by-step explanation:
If you do 8-15+20=13
PLEASE MARK BRAINLIEST
What is the value of the question mark in the picture below.
Use the vocabulary to explain your answer.
Answer:
84°
General Formulas and Concepts:
Geometry
Alternate Interior AnglesAlternate Exterior AnglesCorresponding AnglesStep-by-step explanation:
According to the picture, we can see that the 2 angles are Alternate Interior Angles. By definition, these 2 angles will be congruent.
What is the interest you will pay if you borrowed $900 at 10% interest for 2 years?
$180
Step-by-step explanation
(900 x 2 x 10) / 100
=18000 / 100 = 180
=$180
The interest need to pay is $180.
What is Simple Interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given:
P = $900
R= 10%
T = 2 years
Using Simple Interest
SI = ( PRT)/100
SI = 900 x 10 x 2 /100
SI = 180
Hence, the interest is $180.
Learn more about Simple Interest here:
https://brainly.com/question/25845758
#SPJ2
The cost for new carpet is $8.55 per square yard, plus an installation fee. If 700 square yards of carpet cost $6164, write and solve a linear equation to find the cost of 1000 square yards.
Answer:
1. 6164 × 10 = 61640
2. 61640 ÷ 7 = 8845.71
Answer = $8845.71
Please help me with this as soon as you can. I have no idea how to do it so please help me.
Answer:
x=10
Step-by-step explanation:
The lines the angles are on are 180 degrees so
(11x+23) + (7x-23)= 180
Let's rearrange them first
11x+7x + 23-23=180
Combine the like terms
18x + 0=180
Remove the 0
18x=180
Then divide 18 on each side
x=10
Zoey can tile 1 1/4 square yards in 1/3 hour. What is her unit rate?
HURRY!! At the snack bar, hot dogs cost $4 each and bottled water costs $2 each:
Answer: (2,1) (1,3)
Step-by-step explanation: Assume that the number of hot dogs is X and the number of water bottles is y.
Find the percent increase from the first number to the second in the following pairs.
A. 100, 140
B. 80, 125
C. 60, 80
D. 9,1
Every year, the value of a property in singapore appreciates by 15% of its value in the previous year. If the value of the property was $899300 in 2012, find ite value in 2010.
Answer:
629 510$
Step-by-step explanation:
$899300 - (30% of $899300)
cuz its two years away from 2010 so it will have gone up 30 % so to rewind time, just go back 30%
Answer:
649744.25
Step-by-step explanation:
899300-15%-15%=649744.25
10 .find the partial sum S10 of the arithmetic series with a1 = 4, d = 5.
Answer:
S10 = 320
Step-by-step explanation:
The formula for calculating the sum of the nth term of an AP is expressed as
Sn = n/2(2a+(n-1)d))
Given
a = 4
d = 5
n = 10
S10 =10/2{2(5)+(10-1)5}
S10 =5{10+9(6)}
S10 =5{10+54}
S10 = 5(64)
S10 = 320
Hence the sum of the first ten terms of the sequence is 320
in a study of 300 students under 25 years old, 21have not yet learned to drive. What percentage can drive?
Answer:
93%
Step-by-step explanation:
From the question given above, the following data were obtained:
Total number of student = 300
Number of student that can not drive = 21
Percentage of student that can drive =.?
Next, we shall determine the number of student that can drive. This can be obtained as follow:
Total number of student = 300
Number of student that can not drive = 21
Number of student that can drive =?
Number of student that can drive = (Total number of student) – (Number of student that can not drive)
Number of student that can drive = 300 – 21
Number of student that can drive = 279
Finally, we shall determine the percentage of student that can drive as illustrated below:
Total number of student = 300
Number of student that can drive = 279
Percentage of student that can drive =?
Percentage of student that can drive =
279/300 × 100
= 93%
Thus, 93% of the student can drive.
3 ice cream cones cost $8.25. At this rate, how much do 2 ice cream cones cost? Type your answer as a number with no other symbols or spaces.
Answer:
5.50
Step-by-step explanation:
8.25/3 = $2.75 each
2.75*2 = $5.50
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]
x1 and y1 are (-2, -1)
x2 and y2 are (4, 3)
[tex]\frac{3-(-1)}{4-(-2)}[/tex]
[tex]\frac{3+1}{4+2}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex]
Please help out with this worksheet please i would appreciate it
Answer:
1. slope: (y2-y1)/(x2-x1)
(6,38), (9,32)
(32-38)/(9-6) = -6/3 = -2
38 = -2(6) + b
38 = -12 +b, b = 50
y = -2x + 50
2a. Slope = -80, the slope means how many cars left per hour after closing. Y- intercept = 600, cars in lot during closing.
2b. use the equation: y = -80x + 600
Plug in 3 into the equation
y = -80(3) + 600, y = -240 + 600, y = 360 cars
2c. For it to have 0 cars, plug in 0 for y
0 = -80x + 600
-600 = -80x, solve for x
x = 7.5 hours
Which ordered pair is a solution of the equation? y=-2x-5y=−2x−5
Answer:
x=3y
Step-by-step explanation:
Step 1: flip the equation.
2x−5y=y
Step 2: Add 5y to both sides.
2x−5y+5y=y+5y
2x=6y
Step 3: Divide both sides by 2.
2x
2
=
6y
2
x=3y
Answer:
if this is for khan academy and is a multiple choice choose the answer (neither) if not its 5
Step-by-step explanation:
y - 2x - 5y = 2x - 5
4x+ 4y = 5
Sally walks away from her
house. She walks 25 m west
then 15 m south. How far, in
meters, is she from her house?
Answer:
40 meters
Step-by-step explanation:
15 POINTS! PLEASE HELP WILL MARK BRAINLIEST
Answer:
B) 1
Step-by-step explanation:
When reading the problem it tries to trip you up with the black dot. A line of symetery marks where you can cut the shape in half and have both parts equal. With the black dot a part of the shape there is only one way for a line of symetery to work as it can only be split in half that one way. No other corners have a black dot so there is no other way to split it where it would be symetrical.
4x-3y≤27 solve for y
Answer:
y≥−9+4x/3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Question 1 (1 point)
(05.01)
The graph of a system of equations will intersect at more than 1 point. (1 point)
a
Always
b
Sometimes
c
Never
Answer: Sometimes
Step-by-step explanation:
A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept.
A system of equations can intersect at one point; this is when the lines have different slopes.
A system of equations can intersect in infinitely many points; this is when the graphs overlay one another, which means they are graphs of the same line. The two equations would equal the same thing.