Answer:
[tex]\frac{2}{3}[/tex] hours
Step-by-step explanation:
Let [tex]t[/tex] be equal to the time that passes for Car A and Car B to be 8 km apart.
Let [tex]A[/tex] be equal to the distance that Car A travels within [tex]t[/tex].
Let [tex]B[/tex] be equal to the distance that Car B travels within [tex]t[/tex].
1) Create equations
[tex]Distance = Time*Velocity[/tex]
Therefore:
[tex]A=60t[/tex]
[tex]B=72t[/tex]
We also know that the distance between the two cars would be 8 km. Therefore:
[tex]B-A=8[/tex]
2) Solve for t (the time it takes for Car A and Car B to be 8 km apart)
Plug [tex]A=60t[/tex] and [tex]B=72t[/tex] into [tex]B-A=8[/tex]
[tex]72t-60t=8\\12t=8\\t=\frac{8}{12} \\t=\frac{2}{3}[/tex]
Because the velocity unit is km/h, we know that t will be in hours. Therefore, Car A and Car B were 8 km apart after [tex]\frac{2}{3}[/tex] hours.
I hope this helps!
A jar holds 475 milliliters of honey. How many liters will 27 jars hold?
O 12.825 liters
O 1,282 liters
O 12,825 liters
O 128,250 liters
9514 1404 393
Answer:
(a) 12.825 liters
Step-by-step explanation:
"Milli-" is the SI prefix for 1/1000. So, 475 milliliters is 475/1000 liters, or 0.475 liters.
27 of these will be a volume of ...
(27)(0.475 L) = 12.825 L . . . . matches the first choice
What is the volume of the figure below if each unit cube has a side length of one centimeter?
A.12cm3
B.24 cm3
C.36 cm3
D.48 cm 3
Answer: C
Step-by-step explanation:
What is the equation for g(x)=
Answer:
g(x) = -(x + 3)^2 - 1
Step-by-step explanation:
g(x) has a peak, and goes down on both sides, it needs a negative sign. From the vertex, when x increases by 1, y decreases by 1, and when x increases by another 1, y decreases by 3. a = -1. The function is 3 units to the left and 1 unit down. That will make h = -3 and k = -1 to the function g(x) = a(x - h)^2 + k.
Plug the values in to get the answer.
3 x ( 15 - 11 ) + 6= ?
help help help
Answer:
12x + 6
Step-by-step explanation:
Which linear function represents the line given by the point-slope equation y + 7 = (x + 6)?
What is the ordered pair of your location if you start at (0, 0), move 2 units up, and then move 3 units right?
Answer:
(3,2)
Step-by-step explanation:
Gus bought a salad for $6 and two pizza's. If he paid a total of $36, what equation represents finding the cost of one pizza?
Answer:
15 dollars each pizza
Step-by-step explanation:
2 pizzas (15 + 15 = 30)
30 + 6 = 36
Answer:
15
Step-by-step explanation:
15+15=30+6 =36
What is 2x^2-8x+3=0 using the quadratic formula?
Answer:
[tex]x = \frac{4 + \sqrt{10} }{2}[/tex]
Step-by-step explanation:
you can also replace the plus sign and put ±
hope this helps and is right :)
levi was designing a kite. He needs to find the measure of
Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.
Answer:
keiko- x
imelda- x+ 36
Sarah- x- 38
Step-by-step explanation:
keiko is x since we have not been given his number of boxes.because imelda's number of boxes was 36 more than keiko's, you will add the x which is for keiko and 36 for imelda(x+36).and sarah's number of boxes will be x-36 because we have been told her number of boxes is 38 fewer than keiko's.Joelle wears a uniform to school. These are the uniform pieces she has:
Skirts Tops Sweaters
tan white blue
blue
red
white
brown blue
Each day she wears a skirt, a top, and a sweater.
How many combinations of one skirt, one top, and one sweater can she make?
A. 3
B. 8
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is not continuous on [0, 2]. There is not enough information to verify if this function satisfies the Mean Value Theorem. No, f is continuous on [0, 2] but not differentiable on (0, 2). Yes, f is continuous and differentiable on , so it is continuous on [0, 2] and differentiable on (0, 2) . If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).
Answer:
(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
(b) [tex]c =0.51995[/tex]
Step-by-step explanation:
Given
[tex]f(x) = e^{-4x};\ [0,2][/tex]
Solving (a); Does the function satisfy M.V.T on the given interval
We have:
[tex]f(x) = e^{-4x};\ [0,2][/tex]
The above function is an exponential function, and it is differentiable and continuous everywhere
Solving (b): The value of c
To do this, we use:
[tex]f'(c) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex][a,b] = [0,2][/tex]
So, we have:
[tex]f'(c) = \frac{f(2) - f(0)}{2 - 0}[/tex]
[tex]f'(c) = \frac{f(2) - f(0)}{2}[/tex]
Calculate f(2) and f(0)
[tex]f(x) = e^{-4x}[/tex]
So:
[tex]f(2) = e^{-4*2} = e^{-8} = 0.00033546262[/tex]
[tex]f(0) = e^{-4*0} = e^{0} = 1[/tex]
This gives:
[tex]f'(c) = \frac{0.00033546262 - 1}{2}[/tex]
[tex]f'(c) = \frac{-0.99966453738}{2}[/tex]
[tex]f'(c) = -0.4998[/tex]
Note that:
[tex]f'(x) = (e^{-4x})'[/tex]
[tex]f'(x) = -4e^{-4x}[/tex]
This implies that:
[tex]f'(c) = -4e^{-4c}[/tex]
So, we have:
[tex]f'(c) = -0.4998[/tex]
[tex]-4e^{-4c} =-0.4998[/tex]
Divide both sides by -4
[tex]e^{-4c} =\frac{-0.4998}{-4}[/tex]
[tex]e^{-4c} =0.12495[/tex]
Take natural logarithm of both sides
[tex]\ln(e^{-4c}) =\ln(0.12495)[/tex]
[tex]\ln(e^{-4c}) =-2.0798[/tex]
Apply law of natural logarithm
[tex]\ln(e^{ax}) =ax[/tex]
So:
[tex]-4c =-2.0798[/tex]
Solve for c
[tex]c =\frac{-2.0798}{-4}[/tex]
[tex]c =0.51995[/tex]
A=?
C=?
1= 57, find angle 4
3= 63 find angle 2
2= 2x+6 and 3=3x-1 find x
AD=6cm and BD=12cm find BC
Step-by-step explanation:
1. m(angle A) is 90 degrees............[ tangent drawn from the centre of the circle is always perpendicular to the circle]
2.m(angle C) is also 90 degrees....[ tangent drawn from the centre of the circle is always perpendicular to the circle]
3. m(angle 1) is 57 degrees, angle A is 90 degrees, .....(given)
m(angle 4) + m(angle 1) + angle A = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 4) = 180 - ( 57 + 90)
= 33 degrees
4. m(angle 3 ) is 63 degrees, m(angle C) is 90 degrees, .........[given]
m(angle 3) + m(angle 2) + angle C = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 2) = 180 - ( 63 + 90)
= 27 degrees
For brainliest please help!
Answer:
I think its y-x, if y >x.
Step-by-step explanation:
A card game requires that you have a sum of 5 in order to win. Based on the cards shown below, will Cameron win the game?
3 11 -5 -8 -2 1
Answer:
I don't think so
Step-by-step explanation:
The sum is the numbers added together and 3+1 -5 -8 -2+1=-10 so you did not get 5
No, Cameron will not win the game.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
A card game requires that you have a sum of 5 in order to win.
Now, Let us calculate the sum of the cards.
= 3 + 11 + (-5) + (-8) + (-2) + 1
= 0.
Since, the sum is not equal to 5,
Hence, Cameron will not win the game.
So, Cameron needs to draw more cards and hope that they add up to 5 to win the game.
Thus, Cameron will not win the game.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ2
The least-squares regression line is: Group of answer choices a. the line that passes through the most data points. b. the line that minimizes the sum of the squares of the vertical distances from each point to the line. c. the line such that half of the data points fall above the line and half fall below the line d. all of the above are correct
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
The least-squares regression line is the line that passes from mostly all the data points also this line would be located on a scatterplot that minimizes the distance square from the points to the line
Therefore as per the given situation, the option a is correct
Hence, the rest of the given options would be wrong
y=-14x^2+1035x-10266
Answer in the attachment :))
brainliest or a thank you pls :)
Solve the linear equation using equivalent equations to isolate the variable. Express your solution as an integer, as a simplified fraction, or as a decimal number.
15=v−6
SOMEONE PLS HELP ASAP
Answer:
a. (2,2) (4,4) (6,6)
b. start on point (2,2) and go up 2 and over 2 or (x·1, y·1)
c. Ever y-coordinate on the y-axis equals 17.
Can someone please explain the answer step by step pls.
Answer:
a) x= 29, y= 87
b) x= 19, y= 45
Step-by-step explanation:
Q5. a) Let the first number be x and the second number be y.
The sum of 2 integers is 116.
x +y= 116 -----(1)
The second number is three times the first number.
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 116
4x= 116
x= 116 ÷4
x= 29
Substitute x= 29 into (2):
y= 3(29)
y= 87
b) Let the smaller number be x and the larger number be y.
x +y= 64 -----(1)
y -x= 26 -----(2)
Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.
From (1):
x= 64 -y -----(3)
Substitute (3) into (2):
y -(64 -y)= 26
y -64 +y= 26 (expand bracket)
2y= 26 +64 (simplify, +64 on both sides)
2y= 90
y= 90 ÷2
y= 45
Substitute y= 45 into (3):
x= 64 -45
x= 19
The scatterplot below shows a data set
and an approximate trend line for the
data.
7
6
5
3
1
0 10 20 30 40 50 60 70
Which is the best estimate of the value of
x that corresponds to y = 3? (8.18, 8.10,
SIE, SIF)
Where does
F 35
the line y = 3
G 25
intersect the
trend ine?
H 50
10
6. A fish tank measures 19.5 inches long by 12 inches wide by 15 inches tall. The tank is filled with water to a point 2 inches from the top of the tank. How much water is in the tank
9514 1404 393
Answer:
3042 in³
Step-by-step explanation:
The dimensions of the water are ...
19.5 in long × 12 in wide × 13 in tall
The volume in cubic inches is ...
V = LWH
V = (19.5 in)(12 in)(13 in) = 3042 in³
_____
At 231 cubic inches per gallon, that's about 13.17 gallons.
please help!!!
i would really apreciate it
Answer:
it should be the graph on the bottom right
Step-by-step explanation:
The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")
The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.
after selling 8 quilts her income will be higher than her costs
(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).
with all of these reasons combined the correct should be the one on the bottom right
Define this math term:
Equivalent Rates
(Will mark brainliest)
Ty so much
Answer:
When two or more separate ratios have the same value.
Jason works for a car dealer and his commission for selling a car is 2% of the selling price. Jason sold two cars last month for $70,000 and $60,000. how much commission in total did Jason receive?
Answer:
$2600
Step-by-step explanation:
2/100×70000=1400
2/100×60000=1200
1400+1200=2600
Plssssss I’m being timed
Answer: the answer is c
Step-by-step explanation:
PLZ HELP ASAP (BRAINLIEST + 30 POINTS (show all work)
(7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
Answer:
x² - 12x + 36
factored: (x - 6)(x - 6)
A quantity with an initial value of 600 grows continuously at a rate of 0.15% per day.
What is the value of the quantity after 73 days, to the nearest hundredth?
Answer:
Step-by-step explanation:
1,0015^73*600=669,38
Please help me and if you say download something I’m not doing it bC i have no space
Answer:
1) x-2y
2) 2(13a-5)
Step-by-step explanation:
1) x-2y
2) 2(13a-5)
Evaluate the function for the indicated values of x.
f(x)=
2x + 1 x 3-5
x? -5
3- X x 25
f(-10) =
f(2)=
f(-5) =
f(-1) =
f(8) =
DONE
Answer:
f(2)
Step-by-step explanation: