Let g(x)=Intragal from 0 to x f(t) dt, where r is the function whos graph is shown.
Picture attached with question and graphs. As well as points needed
Answers
If
[tex]\displaystyle g(x) = \int_0^x f(t) \, dt[/tex]
then g(x) gives the signed area under f(x) over a given interval starting at 0.
In particular,
[tex]\displaystyle g(0) = \int_0^0 f(t) \, dt = 0[/tex]
since the integral of any function over a single point is zero;
[tex]\displaystyle g(4) = \int_0^4 f(t) \, dt = 8[/tex]
since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;
[tex]\displaystyle g(8) = \int_0^8 f(t) \, dt = 0[/tex]
since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;
[tex]\displaystyle g(12) = \int_0^{12} f(t) \, dt = -8[/tex]
since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;
[tex]\displaystyle g(16) = \int_0^{16} f(t) \, dt = 0[/tex]
since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;
[tex]\displaystyle g(20) = \int_0^{20} f(t) \, dt = 24[/tex]
since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;
[tex]\displaystyle g(24) = \int_0^{24} f(t) \, dt = 64[/tex]
since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.
Related Questions
The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?
Answers
Answer: 27.5% decrease in the staff
Step-by-step explanation:
Help !!
There’s Two Truths and One Lie
Below are three statements. 2 are true and one is not. Which one of the
statements is not true? Explain how you know this.
1) To solve x - 3 = 6, you could add 3 to both sides.
2) To solve x - 3 = 6, you could subtract 3 from both sides.
3) To solve x - 3 = 6, you could think of a number that when you subtract 3 would
give you 6.
Use the ( RACE )method to answer. Type your answer in the box below using complete
sentences. Your answer should have at least 2-3 sentences.
R: Restate the problem
A: Answer the question
C: (not used in math)
E: Explain
Answers
Answer:
1 & 3 correct, not sure how race method is used but it should be enough
Step-by-step explanation:
1 is correct since when you add 3 to -3 you get zero and leaves x on the left of the equal sign. then it's equally on both side so you add 3 to 6
2 isn't correct, -3-3 gives -6 and x-6=3 won't give much of an answer
3 is also correct. You basically think "a number that's 6 when you take away 3? could it be 9?" then you try and go 9-3? yes it's 6.
9w=8w-5
[tex]9w=8w-5[/tex]
Answers
Answer:
9w=8w-5
collect like terms
9w-8w=-5
w=-5
Which of the diagrams shows an exponential graph?
Answers
Answer:
Diagram "C"
Step-by-step explanation:
The curve eventually shows that it is an exponentially graph
1 2/15 + -3 1/2 in simplest form
Answers
17/15 - 7/2
17/15 Multiply by (2) = 34/30
7/2 Multiply by (15) = 105/30
Subtract
34/30 - 105/30
-74/30
- 2 14/30 divide by 2 ( 7/15)
- 2 7/15
its a joke but how come hotdog buns are pact in 8 and hotdog meat is pact in 10
Answers
Answer:
every 5 bun packs : 4 hotdog meat pack
5:4
Step-by-step explanation:
Your school ID is a 5-digit number. The 9 is in the thousand place, the 0 is in the ones place, an 8 is in the thousands place, a 4 is in the tens place and a 2 is in the hundreds place. What is your school ID number?
Answers
Answer:
89240
Step-by-step explanation:
_ 9 _ _ _ is in the thousands
_ 9 _ _ 0 is in the ones
going to assume you meant 8 is in ten thousands
8 9 _ _ 0 is in ten thousands
8 9 _ 4 0 is in tens
8 9 2 4 0 is in hundreds
School number is 89240
Answer: 98,240
What we are doing here is changing from expanded form into standard form.
To do that, you add all the place values to get the total number. So, our place values are:
10,000 - Ten Thousands Place
1,000 - Thousands Place
100 - Hundreds Place
10 - Tens Place
Now, we will need to look at the problem.
It says, The 9 is in the ten thousand place, the 0 is in the ones place, an 8 is in the thousands place, a 4 is in the tens place and a 2 is in the hundreds place.
According to the question, the 9 will be in the Tens Thousands Place, so our first number will be, 90,000.
The 8 will be in the Thousands place, so our second number will be 8,000.
The 2 will be in the Hundreds place, so our third number will be 200.
The 4 will be in the Tens place, so our fourth number will be 40.
Since the one's place is 0, we don't need to worry about that number.
Putting the answer in an equation, it will be like this,
90,000 + 8,000 + 200 + 40Now we can add.
Adding these numbers up will equal to, 98,240.
Therefore, the answer is 98,240.
When Lucia plays golf at the Rolling Hills golf course, she loses about 12 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 8 balls on average. If Lucia lost approximately 100 balls after playing at Rolling Hills rr times and Meandering Meadows mm times, which of the following equation best represents the relationship between rr and mm?
When Lucia plays golf at the Rolling Hills golf course, she loses about 12 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 8 balls on average. If Lucia lost approximately 100 balls after playing at Rolling Hills rr times and Meandering Meadows mm times, which of the following equation best represents the relationship between rr and mm?
8r+12m=1008r+12m=100
12r+8m=10012r+8m=100
12r-8m=10012r−8m=100
8r-12m=1008r−12m=100
Answers
The relationship between the number of balls Lucia lost at the golf
courses can be expressed as an equation.
The equation that best represents the relationship between r and m is; 12·r + 8·m = 100Reasons:
The given parameters are;
The number of balls Lucia loses at the Rolling Hills, r = 12 balls
The number of balls Lucia loses at the Meandering Meadows, m = 8 balls
The total number of balls Lucia lost after playin at Rolling Hills and Meandering Meadows = 100 balls
The relationship between r and m is therefore;
Number of balls lost at Rolling Hills + Number of balls lost at Meandering Meadows = 100
12 × r + 8 × m = 100
12·r + 8·m = 100
The equation that best represents the relationship between r and m is therefore; 12·r + 8·m = 100
Learn more mathematical word problems here:
https://brainly.com/question/20425634
Find the equation for the linear function based upon this table. y = mx + b
y -6 -2 2 6 10
x -4 -2 0 2 4
Answers
Answer:
y = 2x + 2
Step-by-step explanation:
for each rise of 4 in y
there is a run of 2 in x
m = rise/run
m = 4/2
m = 2
when x = 0, y = 2
therefor the y-intercept, b = 2
y = mx + b
y = 2x + 2
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (2, -1) and (6, -9).
Answers
Answer:
x-2=y+1
Step-by-step explanation:
here is ur answer
I need help!!! Answer asap plz
A number cube will be rolled 100 times as part of an experiment. Which calculation would you use to predict the number of times a 4 will be rolled?
A. (36)(1/4)
B. (100)(1/4)
C. (100)(1/6)
D. (36)(1/4)
No links please
Answers
Find the missing side of the triangle. Round to the nearest tenth where necessary find qr
Answers
Answer:
QR = 4.9 ft
Step-by-step explanation:
Since the triangle is a right triangle, use the Pythagorean Theorem (a² + b² = c²).
[tex]a^2+b^2=c^2\\\\a^2+1^2=5^2\\\\a^2+1=25\\\\a^2=24\\\\\sqrt{a^2}=\sqrt{24}\\\\a=4.9[/tex]
Find the number N , such that when 1 ÷3
of it's added to 8 , the results is the same as when 1÷2 of it is subtracted from 18
Answers
Answer:
Step-by-step explanation:
8 + N/3 = 18 - N/2
N/3 + N/2 = 18 - 8
2N/6 + 3N/6 = 10
5N/6 = 10
N = 10(6/5)
N = 12
Answer:
N=12
Step-by-step explanation:
Set up an equation involving N
(1/3)N+8=18-(1/2)N
We want to clear the denominator to start with by multiplying everything on both side by 6
2N+48=108-3N
Move all the N's to one side and the number to the opposite
5N=60
Divide by 5
N=12
Check:
(1/3)12+8=18-(1/2)12
4+8=18-6
12=12
Can anyone help! Please!
Determine whether the inverse of F(x) is a function.
Answers
Answer:
Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
|a| if a>0
Please help!
Answers
Answer:
Step-by-step explanation:
the absolute value bars mean we ignore the sign of the variable
As (a) is always positive for a>0, |a| = a
For contrast, If the range were a<0 where (a) is always negative, then |a| = -a
Answer:
1/a > 0
Step-by-step explanation:
8x + 1/3 = 2/3 what is the answer?
Answers
Answer:
1/24
Step-by-step explanation:
8x + 1/3 = 2/3
- 1/3 - 1/3
8x = 1/3
8x/8 = (1/3)/8
x = 1/24
A forest covers 48,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answers
Answer:
288
Step-by-step explanation:
48000*0.6/100=288
Answer:
[tex]0.06 * 48 000 = 2,880 acres[/tex]
Cheers :D
helpppppppppp WILLLL GIVE BRAINLISTTTTT
Answers
3x=9
If you wanted to go further then it would be x=3 but for this I’d say the answer is 9
Maria spends 9/10 hour on her art project. Juan spends 2/6 hour on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his?
A. 0 hrs
B. 1/2 hrs
C. 3/4 hrs
D. 1 hr
Answers
Answer:
B. 1/2 hrs
Step-by-step explanation:
make the denominator the same
27/30 10/30
27-10= 13
13/30
a half is 15/30 and it's the closest answer since the question said estimate.
If a recipe for a cake calls for 2 1/2 cups of flour and Mary wishes to make 3 cakes, how many cups of flour does she need A. 6 B. 6 1/2 C. 7 1/2 D. 9 E. 9 1/2
Answers
Answer:
option C 7½ is correct hope this answer helps you dear! take care
If a slingshot is used to shoot a marble straight up into the air from 2 meters above the
ground with an initial velocity of 30 meters per second, for what values of time t will the
marble be over 35 meters above the ground? (Refer to Exercise 25 in Section 2.3 for assistance
if needed.) Round your answers to two decimal places
Answers
Answer:
use this equation: GPE=mgh
Step-by-step explanation:
GPE = gravitational potential energy = J
m = mass = Kg
g = gravitational field = N/kg = world's gravitational field is 9.8N/kg
h = height = m
a line has a slope of -19/8 and passes through the point (0,12). what is its equation in slope intercept form
Answers
Answer:
y=-19/8x+12
Step-by-step explanation:
Slope intercept form is
y=mx+b
m is slope
b is y-intercept
So we already know what the slope is so we can plug that in
y=-19/8x+b
Now with the point we can substitute x and y with the point values
[Remember a point is (x,y)]
0 is x
12 is y
12=b
So the slope intercept form of this is
y=-19/8x+12
Hope this helps!
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
-x + 20
Step-by-step explanation:
13-x+3+4
13 - x + 3 - 3 = 4 + 3
13 - x = 7
= -x + 7 + 13
= -x + 20
#Carry on LearningChe sum of two numbers is 2. If one number is subtracted from the other, their difference is - 8. Find the numbeRs
Answers
Answer:
1st number (x) = -3, 2nd number (y) = 5
Step-by-step explanation:
x + y = 2, y = 2 - x
x - y = -8, y = x + 8
By substituting y = 2 - x in the other equation:
(2 - x) = x + 8
2 - 8 = x + x
-6 = 2x
x = -3
Now plug x = -3 into either equation:
y = 2 - x
y = 2 - (-3) = 5
So the numbers are -3, 5
Toothpaste Ken is traveling for his business. He has a new 0.85-ounce tube of toothpaste that’s supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces. If Ken brushes his teeth six times on a randomly selected trip, what’s the probability that he’ll use all the toothpaste in the tube?
Answers
Using the normal distribution, it is found that there is a 0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When a variable is multiplied by a constant, both the mean and the standard deviation are multiplied by the constant.In this problem:
Brushes 6 times.Each time, mean of 0.13 ounces, hence, for the 6 times, [tex]\mu = 0.13(6) = 0.78[/tex]Each time, standard deviation of 0.02 ounces, hence, for the 6 times, [tex]\sigma = 0.02(6) = 0.12[/tex].The probability that he’ll use all the toothpaste in the tube is 1 subtracted by the p-value of Z when X = 0.85, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.85 - 0.78}{0.12}[/tex]
[tex]Z = 0.583[/tex]
[tex]Z = 0.583[/tex] has a p-value of 0.7202.
1 - 0.7202 = 0.2798
0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.
A similar problem is given at https://brainly.com/question/24663213
cite a real life situation that describes the concept of direct and inverse variation. create your own word problem and answer it. present your answer with table of values, graph and equation
A need a appropriate answer, thanks...
Answers
Step-by-step explanation:
An example of direct variation would be the relationship of distance with time when speed is constant.
d = stLet's assume you travel at the speed of 60 mph. The distance at 0, 0.5, 1, 2 hours would be 0, 30, 60, 120 miles.
d = 60tThis is a linear relationship and produces a graph of line.
See the graph.
--------------------
An example of inverse variation would be the time to complete the same work as number of workers increase.
t = w/p, where w is work (constant), p- number of workersAssume 5 workers complete wok in 20 days, 10 workers do same in 10 days, 20 workers do in 5 days.
t = 100/pThis relationship produces a curved line.
See the graph.
simplify √6+3√6 please and thank you
Answers
Answer:
4√6
Step-by-step explanation:
√6 is a common factor on either side of the plus sign.
Therefore you can use the distributive property to get it out as a common factor. If you do not know what the distributive property is, then you can just say that √6 is a common factor.
√6(1 + 3) Combine the like terms in the brackets.
√6(4) or
4√6
Answer:
Exact Form: 4√6
Decimal Form: 9.79795897...
Step-by-step explanation:
Please vote brainliest!
Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive. need answers ASAP for 93 point
Answers
Answer:
Is there a reference? there's insufficient information.
Step-by-step explanation:
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
Answers
Answer:
Answer: The answer is $20
Multiply 400 by .05 or 5%.
If you wanna know 6 years it would be 536 usd
Explanation:
This would be an compound interest. Meaning that your gain every year would increase exponentially.
The equation to calculate this would be: Kn = K0⋅
(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.
Kn=400⋅
(1+5100)6
Step-by-step explanation:
CREDIT FOR ANSWER GOES TO
calderonj4588
f x and r are inversely proportional and x = 9 when r = 72, then what is x when r = 40?
Answers
Answer:
16.2
Step-by-step explanation:
r = k/x
when x = 9 and r = 72 ,72 = k/9
k = 72*9
When r = 40 ,
x = k/r
x = 72*9/40 = 16.2