Answer:
[tex]q = -6p + 104[/tex]
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]q = mp + b[/tex]
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: [tex]m = \frac{-36}{6} = -6[/tex]
So
[tex]q = -6p + b[/tex]
Finding b:
We replace one of the points. Replacing (4,80).
[tex]q = -6p + b[/tex]
[tex]80 = -6*4 + b[/tex]
[tex]b = 104[/tex]
So
[tex]q = -6p + 104[/tex]
Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.
If Patty gets her car appraised after owning it for 6 years, what will the car's value be in this indirect variation situation?
A. $7,500
B. $2,500
C. $6,000
D. $4,000
Answer:
c) 6000
Step-by-step explanation:
the car's value would be $6000 because in two years the car decrased by $6000. Divide that by 2, and get $3000. That's how much it decreases in one year. $9000-$3000=$6000
btw I can't help it the car's original value was $24,000
which is greatest and which is the least 7/12 5/8 3/4
Answer:
The most is 3/4 and the least is 7/12
Step-by-step explanation:
Becasue the demonitaor have a facotr of 24 so if we convert them to ?/24 we can get our answer by doing this 7/12 -> 14/24, 5/8 --> 15/24, 3/4 --> 18/24
Let the random variable X be equally likely to assume any of the values 1/14, 1/7, or 3/14. Determine the mean and variance of X. The mean is Enter your answer; The mean is 1/7 [Give exact answer in form of fraction.] The variance is Enter your answer; The variance is 0.1190 [Round your answer to four decimal places (e.g. 98.7654).]
Answer:
1/7 ;
0.0034
Step-by-step explanation:
Given that:
X = 1/14, 1/7, 3/14
n = number of observations = 3
Since, probability of X is equally likely ;
P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3
The mean, m ;
Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)
= 1/42 + 1/21 + 3/42
= (1 + 2 + 3) / 42
= 6 / 42
= 1/7
The variance :
Σx²*p(x) - m²
((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2
= 0.0238095 - 0.0204081
= 0.0034014
= 0.0034
Cuáles son las partes de un término algebraico
Answer:
coeficiente, variables, exponentes, y el signo.
Catherine and Joseph together bought a video game for $16.40. Joseph contributed $7.80.
Approximately what percent of the total cost did Catherine contribute? * DS
(1 Point)
How do you get the answer
Answer:
16.40-7.80= 8.608.60/16.40×100= 52.43%Answer: 52.4 percent
Step-by-step explanation: So you'd want to subtract 7.80 from 16.40 to get 8.60. Then you'd multiply that by 100 which would give you 860. After you've done that you want to divide 860 by 16.40.
How tall are you in centimeters (1 inches =2.54)
Answer:
Im about 178 centimeters
Step-by-step explanation:
The area of a circle is 25.12 square yards. If the dimensions of the circle are tripled, what will be the area of the new figure?
1. 226.08 yd 2
2. 8.37 yd 2
3. 75.36 yd 2
4. 150.72 yd 2
Answer:
75.36
Step-by-step explanation:
if its 25.12 jus multiply it by 3 since its tripled
15 is 9 more than j I need an equation
Answer: j = 6
Step-by-step explanation:
the answer is six because the question says 15 is 9 more which is simple subtraction so u do 15-9=6.
Answer:
you have 15 cats but your neighbor had 9 more than you but your mom has J cats. How many cats do you all have together
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (-10, -3)
to (-3, -3) that partitions the segment into a ratio of 3 to 4?
9514 1404 393
Answer:
(-7, -3)
Step-by-step explanation:
The point is the weighted sum of the end point coordinates. The weights are the reverse of the adjacent segment proportions.
P = (4(-10, -3) +3(-3, -3))/7 = (-40-9, -12-9)/7 = (-49, -21)/7
P = (-7, -3)
The point that partitions the segment in the desired fashion is (-7, -3).
_____
Alternate solution
The given segment can be recognized as a horizontal segment of length 7. Then the desired point is 3 units from the first end, so at (-10+3, -3) = (-7, -3).
Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, or simulation. A study where a political pollster wishes to determine if his candidate is leading in the polls for an upcoming election. Question options: simulation observational study experiment
Answer:
Observational study
Step-by-step explanation:
Observational studies usually requires the comparing the outcome or behavior of two or more subjects involved. In the scenario described above, the need to perform any experiment or simulation to make prediction. Once the polls is in progress, the outcome or result of the polls in polling centre's only need to be observed and noted.
Answer:
D
Step-by-step explanation:
Edge 2021
The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is (Magoosh website, January 5, 2015). Assume that GMAT scores are bell-shaped with a standard deviation of . a. What percentage of GMAT scores are or higher
Answer:
The answer is "16%".
Step-by-step explanation:
Its empirical rule suggests which 68% of the very first standard deviation, 95% of the very first 2 standard deviations or 99.7% of the very first three standard deviations of the variance average fall.
[tex]z =647 \\\\z=\frac{(647-547)}{100}= \frac{100}{100}=1[/tex]
The empirical rule indicates the first standard deviation around 68 percent.
So,
[tex]=\frac{(100-68)}{2} \\\\=\frac{32}{2} \\\\= 16 \% \ drop \ 647 \ and \ above[/tex]
35=7x. please help me fasttt
Answer:
x=5
Step-by-step explanation:
35 divided by 7 is 5, so in that case, 7 times 5 is 35.
move the dot -(-E) on the number line. E=3.5
21=8+x (solve for x)
Answer:
X=13
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
21=8+x
Swap sides so that all variable terms are on the left hand side.
8+x=21
Subtract 8 from both sides.
x=21−8
Subtract 8 from 21 to get 13.
x=13
Draw a model to show a 26-pack of candy bars divided equally among 7 people. How
many candy bars will each person have?
Answer:
[tex]\frac{26}{7}[/tex]
Step-by-step explanation:
Each person will get 3 packs of candy bars
The given parameters are:
Candy bars = 26 pack
People = 7
The number of pack each person will have is then calculated as:
Pack =Candy bars / People
So, we have:
[tex]Pack = \frac{26}{7}[/tex]
Divide 26 by 7 (remove the decimal or fractional parts)
[tex]Pack = 3[/tex]
Hence, each person will get 3 packs of candy bars
Read more about quotients at:
https://brainly.com/question/7068223
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) sin(2x) sin(x) dx
Answer:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Required
Evaluate
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Rewrite as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {cos(x)\ sin(x)\ sin(2x)} \, dx[/tex]
In trigonometry:
[tex]sin(2x) = 2\ sin(x)\ cos(x)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2x) = \frac{2\ sin(x)\ cos(x) }{2}[/tex]
[tex]\frac{1}{2}sin(2x) = sin(x)\ cos(x)[/tex]
[tex]\frac{1}{2}sin(2x) = cos(x)\ sin(x)[/tex]
Substitute [tex]\frac{1}{2}sin(2x)[/tex] for [tex]cos(x)\ sin(x)[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin(2x)\ sin(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin^2(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, dx[/tex]
Let [tex]u = 2x[/tex]
Differentiate:
[tex]du = 2 \ dx[/tex]
Make [tex]dx[/tex] the subject
[tex]dx = \frac{1}{2}du[/tex]
Substitute [tex]\frac{1}{2}du[/tex] for [tex]dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, \frac{1}{2}du[/tex]
Substitute 2x for u
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(u)} \, \frac{1}{2}du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}*\frac{1}{2}\int\limits {sin^2(u)} \, du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
At this point, we apply the reduction formula:
Which is:
[tex]\int\limits {sin^n(u)} \, du = \frac{n-1}{2}\int\limits sin^{n-2}(u)\ du\ - \frac{cos(u)sin^{n-1}(u)}{n}\du[/tex]
Let n = 2; So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{2-2}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]sin^0(u) = 1[/tex]
So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits 1\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
Integrate 1 with respect to u
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du[/tex]
Recall that:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
So, we have:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}[ \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du][/tex]
Open bracket
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}u - \frac{cos(u)sin(u)}{8}[/tex]
Recall that: [tex]u = 2x[/tex] and [tex]du = 2 \ dx[/tex] [tex]dx = \frac{1}{2}du[/tex]
So, the expression becomes:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}2x - \frac{cos(2x)sin(2x)}{8}[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8}[/tex]
Add constant c
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex]
----------------------------------------------------------------------------------------
In trigonometry:
[tex]sin(2\theta) = 2sin(\theta)cos(\theta)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2\theta) = \frac{2sin(\theta)cos(\theta)}{2}[/tex]
[tex]\frac{1}{2}sin(2\theta) = sin(\theta)cos(\theta)[/tex]
Replace 2x with [tex]\theta[/tex]
[tex]\frac{1}{2}sin(2*2x) = sin(2x)cos(2x)[/tex]
[tex]\frac{1}{2}sin(4x) = sin(2x)cos(2x)[/tex]
----------------------------------------------------------------------------------------
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex] becomes
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{2*8} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{16} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{x}{4} - \frac{sin(4x)}{16} +c[/tex]
The solution can be further simplified as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
Determine the solution to the system of equations {4x+15y=40
-8x-5y=20}
And write your solution as an ordered pair.
Step-by-step explanation:
4x+15y= 40-5y= 20
= 4x+15y+5y= 40-20
4x+20y= 20
Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15
Answer:
yes
yes
no
yes
Step-by-step explanation:
Pls help periodddd pooh
Answer:
the answer is n = -7
I also put a image to show you how to solve the equation. I hope the image helps.
Answer:
n= -7
Step-by-step explanation:
Kathy and her friends got 2 Pizzas They ate: 4/8 of a pizza on Monday. 3/8 of a pizza on Tuesday and 5/8 of a pizza on Wednesday. How much pizza was left after they finished eating on Wednesday? (Work it out)
Answer:
I can answer this give me one moment
HELP THIS IS ALSO DUE TODAY
Answer:
Step-by-step explanation:vgggguiiooooo
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Which equation shows the rate, r, in miles per hour, the family must drive to reach their
grandmother's house in 4 hours?
4r + 350 = 550
550 + 350 = 4r
4++ 350 = 550
T
550 - 350
Answer:
i tink is b
Step-by-step explanation:
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Let 'r' be the speed of the car in miles per hour. The family must drive to reach their grandmother's house in 4 hours. Then the equation is given as,
4r + 350 = 550
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
More about the speed link is given below.
https://brainly.com/question/7359669
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if you only have 14 packs of Fire Works and my 3 friends and I sent them off how many packs does each of us get if we share them equally
Answer:
4.66
Step-by-step explanation:
14 / 3 = x
4.66 = x
Answer:
So a whole number answer would be 3 per person with a remainder of 2.
or
It would be a mixed number and be 3 1/2 per person.
Step-by-step explanation:
Well you and your 3 friends are 4 people total.
4 is not a multiple of 14 so if you want to share equally youll have some leftover cause im assuming the answer must be a whole number and not a decimal.
But the most you and your friends can share equally is 3 per person. Since 4 people with 3 packs each (4 x 3) is 12 packs total with 2 packs leftover.
If you want to split these packs among the 4 of you, you can do 4/2 to get 1/2 a pack for each of you guys to share.
So a whole number answer would be 3 per person with a remainder of 2.
or
It would be a mixed number and be 3 1/2 per person.
Hope this helps!
If you need any further help or questions comment or message me!
Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test
Answer:
Option (4)
Step-by-step explanation:
Jordan spent 5 hours studying for 3 test with equal amount of time studying for each test.
On the number line, there are 3 small segments between each number.
Every small segment will represent time = [tex]\frac{1}{3}[/tex] hours
Total number of small segments = 15
If Jordan takes 3 equal durations for the study of each test,
Total number of small segments for each test = [tex]\frac{15}{3}=5[/tex]
Now we can plot these points on the number line.
Further count the segments for the answer ( 1 hour plus 2 small segments)
= 1 + [tex]2\times \frac{1}{3}[/tex]
= [tex]1\frac{2}{3}[/tex]
Therefore, time given for studying each test = [tex]1\frac{2}{3}[/tex] hours
Option (4) will be the answer.
Lincoln purchased a new car in 2010 for $22,800. The value of the car was $14,100 in the year 2012, then what would be the predicted value of the car in the year 2014, to the nearest dollar?
Answer:
872
Step-by-step explanation:
The predicted value of $16,348 for the car in 2014.
What is the depreciation rate?The depreciation rate is the percentage rate at which an asset is depreciated over its projected useful life.
Given,
The car was purchased for $22,800 in 2010.
The value of the car was $14,100 in 2012.
The time elapsed between 2010 and 2012 is 2 years, so we can calculate the annual depreciation rate as follows:
depreciation rate = (purchase price - value after 2 years) / (purchase price x 2 years)
= (22,800 - 14,100) / (22,800 * 2)
= 0.0798 or 7.98%
This means that the car depreciates by approximately 7.98% of its value per year. To predict the value of the car in 2014, we can use this rate to calculate the value after 4 years (since 2010):
value after 4 years = purchase price x (1 - depreciation rate)⁴
= 22,800 x (1 - 0.0798)⁴
≈ 16,347.97
Rounding this to the nearest dollar gives us a predicted value of $16,348 for the car in 2014.
Learn more about the depreciation rate here:
brainly.com/question/12228422
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what is 729 : 4 in long division
Answer: Here's what I got:
Step-by-step explanation:
I don't know if this what you wanted:
Plssssssssssss.ssssssssss
Answer:
6 yards in two hours
Step-by-step explanation:
3 times 2 is six
Answer:
6 hours
Step-by-step explanation:
beacause if you times the 3×2=6hours
#carry on learning
What is the value of 3 in the figure shown below?
E
с
4.2
4.2.
A
20
35°
62°
4.3
4.3
D
B
Answer:
[tex]35degrees[/tex]
what type of number is -
[tex] \sqrt{16} [/tex]
Answer:
perfect square / rational
4
Step-by-step explanation:
Answer:
root of 16. or 4
Step-by-step explanation:
Please, please, please, please help