Answer:
v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12
v = 12x²-14x+12 standard form
Step-by-step explanation:
Lilliana is training for a marathon. She runs the same distance every day for a week on Monday,
Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and
Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How
many laps does Lilliana run on Saturday?
Answer: 6 miles
Step-by-step explanation:
WEDNESDAY + FRIDAY (# OF MILES)
The Miles Covered by Each Lap = 3x
The Miles on Top of That = 6
TUESDAY + SUNDAY (# OF MILES)
The Miles Covered by Each Lap = 5x
The Miles on Top of That = 2
You want to now put that into an equation! Therefore, you want to put the number of miles from Wednesday and Friday on one side and the number of miles from Tuesday and Sunday on the opposite side.
SOLVING EQUATION FOR MILES PER LAP
Step 1) 3x + 6 = 5x + 2
given equation from what we put together.
Step 2) -3x + 3x + 6 = 5x + 2 -3x
subtract 3x from both sides.
Step 3) -2 + 2x + 2 = 6 -2
subtract 2 from both sides.
Step 4) 2 × x = 4
divide both sides by 2 because you want to put the variable (x) on one side.
Step 5) x = 2 miles for each lap
Now you want to go look back at the equation and plug in 2 for the variable x.
Step 6) 5 ×2 + 2 = 12
PEMDAS!
Step 7) 12 ÷ 2 = 6
SHE RUNS 2 MILES ON SATURDAYS!
Choose another name for plane s look at the picture for the full answer thank you for helping!
Answer:
c: plane ptm
Step-by-step explanation:
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?
The correct and complete question is shown below;
The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?
Answer:
The probability that the student's GMAT score is higher than 725 = 0.3928
Step-by-step explanation:
From the given information:
Let X be the random variable that follows a normal distribution;
Then;
[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]
To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]
[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]
[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]
By using the EXCEL FORMULA: [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]
P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]
P(X< 725) = 0.9522
P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]
P(X< 710) =0.8783
[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]
[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]
[tex]P(X > 725 | X > 710)=0.3928[/tex]
Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?
Answer:
The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget
Answer: c, offer 3
Step-by-step explanation: just did the quiz
I need help with mixed numbers when subtracting plz
Answer:
turn it into an improper fraction then subtract
Step-by-step explanation:
5×6=30
30+1=31
31/6
3×6=18
18+5=21
21/6
31/6 - 21/6 = 10/6
simplify: 5/3 ♡
I'm not sure tho lol
Four times the sum of f and g is identical to six times g
Answer:
4(f+g)=6g
Step-by-step explanation:
4(f+g)=6g
Which of the following is a true statement 68/5 - 22/5 = 9 1/5
Please somebody awnser
Answer:
The answer is D
Step-by-step explanation:
I took the test and got it right <3
Answer: The first question in the selection is correct!
Step-by-step explanation:
What does reflecting over each axis do to a function algebra 2
. Solve for x. Show your work: 4(x+1)= -3x-10 :)
Answer:
x = - 2
Step-by-step explanation:
Distribute
4(x + 1) = -3x - 10
4x + 4 = -3x - 10
Subtract 4 from both sides of the equation
4x + 4 = -3x - 10
4x + 4 − 4 = −3x − 10 − 4
Simplify
Subtract the numbers
4x+4−4=−3x−10−4
4 = − 3 − 1 0 − 4
Subtract the numbers again
4 = − 3 − 14
Add 3x to both sides of the equation
4 = − 3 x − 1 4
4 + 3 = − 3 − 1 4 + 3
Simplify
Combine like terms
4 + 3 = -3x-14+3x
7x =−3x−14+3x
Divide both sides of the equation by the same term
7 = − 1 4
7 /7 = -14/7
Cancel terms that are in both the numerator and denominator
7x/7 = -14/7
x = -14/7
Divide the numbers
= − 1 4 /7
= − 2
g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.
Step-by-step explanation:
The snowball is spherical in nature
The total surface area of the ball = 4πr²
Or 4π(d/2)²
S = 4πd²/4
S = πd²
d is the diameter of the ball
The rate at which the area is decreasing is expressed as;
dS/dt = dS/dd • dd/dt
dd/dt is the rate at which the diameter is decreasing
dS/dd = 2πd
dS/dt = 2πd • dd/dt
dS/dt = 2π(9) • dd/dt
8 = 18π•dd/dt
dd/dt = 8/18π
dd/dt = 4/9(3.14)
dd/dt = 4/28.26
dd/dt = 0.1415cm/min
Hence the diameter is decreasing at the rate of 0.1415cm/min
Una partícula se mueve sobre el eje x de acuerdo con la ecuación del movimiento
s=f(t) donde s es la distancia dirigida al origen en pies a los t segundos.
a) La velocidad v(t) y la aceleración a(t) en el instante t.
b) El instante t en el que la velocidad es cero.
s= 6t-t²
s=t²-6t
s= t²-9t+24
Answer:
a)
s= 6t-t² --> v = 6 -2t --> a = -2
s=t²-6t --> v = 2t-6 --> a = 2
s= t²-9t+24 --> v = 2t -9 --> a = 2
b)
v = 6 -2t = 0 --> t = 3
v = 2t-6 = 0 --> t = 3
v = 2t -9 = 0 --> t = 9/2
Step-by-step explanation:
si s(t) es la distancia, la velocidad es la primera derivada v(t) = s'(t)
y la acceleracion es la segunda derivada : a(t)= v'(t) = s''(t)
s= 6t-t² --> v = 6 -2t --> a = -2
s=t²-6t --> v = 2t-6 --> a = 2
s= t²-9t+24 --> v = 2t -9 --> a = 2
I NEED HELP LIKE REALLY REALLY FAST
Answer:
56 inches I believe.
I'm not 100% sure.
The surface area is 50 square inches
Help me please is the math
Answer:
2nd) which is 4 multiplied by 5 multiplied by 2
i have a test and only have an hour please hurry!
90 / 3* (9 +6)=?
Answer:
450
Step-by-step explanation:
9+6= 15
90/3= 30
30*15=450
1
Five friends went to the movies and each spent $5 on a ticket per movie and $2 on a bag of popcorn. They saw 2 movies. The movies also had a deal of pizza and a large bottle of soda for $12, which they split. How much did each friend pay for the movie trip and pizza?
Answer:
5+2 + 12/5 = $9.40
Step-by-step explanation:
translate the sentence into an equation
The sum of 6 times a number and 2 is equal to 3
Answer:
6x + 2 = 3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example I'm using x)
When you put it all together, it is 6x + 2 = 3
The required equation is 6x + 2 = 3.
It is required to find the equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers
Given:
The sum of 6 times a number and 2 equals 3.
According to given question we have,
Let the number be x.
6 times a number would be
6x
The sum of 6 times a number and 2 equals 3.
6x + 2 = 3.
Therefore, the required equation is 6x + 2 = 3.
Learn more about equation here:
brainly.com/question/18760193
#SPJ2
6 - 8x = 6x - 9x + 11
6-8x=-3x+11
-8x+3x=11-6
-5x=5
x=-1
The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.
Answer:
hi
Step-by-step explanation:
hi i am a gamergirl add me in fortnite xxgamergilxx93_qt
If peter drove for 9 hours at an average speed of 63 miles per hour, how far did he drive?
Answer:
567 miles
Step-by-step explanation:
9 hours x 63 miles per hour = 567 miles total
what ratio is lesa than 7/15
Answer:
2/5=6/15 and that is less so....
Step-by-step explanation:
Help please thanks :)
Answer:
the answer is part 3 : exactly 30 .....
Find the length of the segment...
NEED HELP FOR A TEST tomorrow
Answer:
The length of the segment is 5
f(x) = 2x^3 g(x) = x-3
find f(2)
find g(4)
find (f+g) (x)
[tex]f(x) = 2 {x}^{3} [/tex]
[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]
_________________________________
[tex]g(x) = x - 3[/tex]
[tex]g(4) = 4 - 3 = 1[/tex]
_________________________________
[tex](f + g)(x) = f(x) + g(x) [/tex]
[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]
_________________________________
Done...♥️♥️♥️♥️♥️
What is the slope-intercept form of 3x + 5y = -15?
3x+5y=1 in slope-intercept form is y=−35x+15 .
BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?
Answer:
24 cups of sliced apples
Step-by-step explanation:
6 multiplied by 4=24
hope this helps
I NEED HELP REALLY REALLY FAST
Answer:
360
Step-by-step explanation:
360 because you multiply the height times the width and you get your answer hopefully this helps you
The critical path for a project was found to be 37 days. The variances total 27. What is probability of completing in 43 days? Below is information that might be useful to answer the question. Answer to 2 decimal points
Answer:
0.1241.
Step-by-step explanation:
So, from the question we are given the following parameters or information or data which are going to help us in solving this particular question/problem. They are; [1]. The critical path for a project = 37 days, the variances total or variance of critical path or sum of variance on critical path]². = 27, the desired completion time/day = 43 days.
So, we will be making use of the formula given below;
The number of standard deviation = desired completion time/day - critical time or sum of critical path times ÷√[variance of critical path or sum of variance on critical path]².
The number of standard deviation = 43 - 37 ÷ √27 = 1.1547.
Thus, the probability of completing in 43 days = P(Z > 1.1547) = 0.1241.
Suppose that a regression line for some data transformed with logarithms predicts that when x equals 8, will equal 1.603. What does the regression line predict y will equal when x equals 8? Round your answer to the nearest whole number. A. 2 B. 40 C. 13 D. 28
Answer:40
Step-by-step explanation:
Answer:
B. 40
Step-by-step explanation:
aapeexxxxxab
The science teacher gives daily homework. For a random sample of days throughout the year, the median number of problems is 5 and the IQR is 2. The Spanish teacher also gives daily homework. For a random sample of days throughout the year, the median number of problems is 10 and the IQR is 1. If you estimate the median number of science homework problems to be 5 and the median number of Spanish problems to be 10, which is more likely to be accurate? Explain your reasoning.
Answer:
SCIENCE SEEMS MORE ACCURATE
Step-by-step explanation:
The interquartile range (IQR) = difference between the upper and lower quartile (Q3 - Q1)
The median can be estimated as :
(Q3 - IQR/2) or (Q1 + IQR/2).
FOR SCIENCE:
MEDIAN NUMBER = 5
IQR = 2
IQR = Q3 - Q1
Q3 = median + IQR/ 2 = 5 + 2/2 = 6
Q1 = median - IQR/2 = 5 - 2/2 = 4
FOR SPANISH:
MEDIAN = 10
IQR = 1
IQR = Q3 - Q1
Q3 = median + IQR/ 2 = 10 + 1/2 = 10.5
Q1 = median - IQR/2 = 10 - 1/2 = 9.5
Science has a lower median score and an interquartile range which is reasonable wider than Spanish with a larger median value (but a very narrow interquartile range).
3 5 of students at a school are boys. If there are 2610 students at the school, how many are girls?
Answer:
1044 girls in the school
Step-by-step explanation:
3/5*2610=1566 boys
2610-1566-1044 girls
it should be 1044 because
3/5=.6 or 60%boys and 40% girls
2610 * 60% or .6 = 1566 boys
2610 - 1566boys = 1044 girls
or
2610 * 40% or .4 = 1044 girls
so there are 1044 girls at the school
What is the percentage of change from 400 to 300?
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
400*.25=100
400-100=300
Hope this helps!!