Answers
Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
[tex]28=\int\limits^b_1 {7x} \, dx[/tex] and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
[tex]28=\frac{7x^2}{2}[/tex] from 1 to b and applying the FTC:
[tex]28=\frac{7b^2}{2}-\frac{7}{2}[/tex] Multiplying everything by 2 to get rid of the denominators gives you:
[tex]56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3[/tex]
Related Questions
Help, please
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.
−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3:negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five
Answers
Answer:
The first step.
Step-by-step explanation:
simplify [tex]y^{-3}[/tex]
Answers
The radius of the circle shown below is 8 centimeters. What is the
approximate length of XY?
115
A. 50.3 cm
B. 16.1 cm
C. 8.0 cm
D. 64.2 cm
Answers
Can someone help me with these 2 geometry questions?? Will mark brainiest :)
Answers
Answer:
Thats to hard Do it your self
what is the value of x that makes the equation 8 x -4 equal 96 true
Answers
Answer:
x= 12.5 or 25/2
Step-by-step explanation:
8x - 4 (+4) = 96 (+4)
8x (/8) = 100 (/8)
x= 12.5 or 25/2
Please help me!! I don't understand
No linksssss
Answers
Answer:
thanks haahhahahaha
Step-by-step explanation:
Houa is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Houa have to pay for
parking if she left her car in the lot for 3 hours? How much total money would Houa have to pay if she left her car in the lot for 3 hours? How much would Houa have to pay if she left her car in the lot for t hours?
Cost of parking for 3 hours:
I
Cost of parking for t hours:
Answers
If it’s two dollars every hour and she leaves her car out in the parking lot for three hours if you go 2 x 3 =6 or you could go 2,4,6 so add 2 three times you get 6
Step-by-step explanation:
let's create the corresponding equation.
it is linear, because the cost per hour is constant, no matter how many hours the car parks.
t is the variable indicating the amount of hours parking.
every hour costs $2.
and $8 is the starting value (we have to pay that, even if we have 0 hours parking time).
cost(t) = 2t + 8
so, the cost after 3 hours is
cost(3) = 2×3 + 8 = 6 + 8 = $14
Luigi's Fine Dining charges $32.09 for its prix fixe meal plus $39.26 for every drink, d, you purchase. The equation that models the total cost (T) is T(d )= 39.26d + 32.09 Which value in the equation represents the rate of change?
A .. The number of drinks purchased
B .. $32.09
C .. $39.26
D .. $71.35
Answers
Answer:
C. $32.09, since it's not the fixed cost, it changes based on how much drinks are purchased.
It depends on the amount of drinks purchased to change the bill
There are two types of packages that are available for hotel stay
- you can use the hotel unlimited for $500 a month
- Or you can spend $50 a day per visit.
Enter an equation that can be used to find the number of visits per month needed for the two packages to cost the same amount
Answers
Answer:
for one month 500$
for daily visit 50$
500$=50$*x days
x days=500$/50$
x days = 10 days
10 days of daily visits costs 500$ equal to one month
Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio of the number of pages read to the remaining pages in the two days is 1:4. How many pages are there in this book
Answers
Answer:
Step-by-step explanation:
Let P be the number of pages
First day reads P/9 pages
Second day reads 24 pages
two days reading is P/5 (1 page read for every 4 pages left)
P/9 + 24 = P/5
P + 24(9) = 9P/5
5P + 24(9)(5) = 9P
1080 = 4P
P = 270 pages
There are 270 pages in this book.
Given that,
Emily reads a storybook the first day,
She reads 1/9 of the whole book, and on the second day, she reads 24 pages.
The ratio of the number of pages read to the remaining pages in the two days is 1:4.
We have to find
How many pages are there in this book?
According to the question,
Let, P is the number of pages,
The first day Emily reads p/9 pages of the whole book,
And the second day she read 24 pages.
The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.
Therefore,
The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days
[tex]\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages[/tex]
Hence, there are 270 pages in this book.
For more details refer to the link given below.
https://brainly.com/question/14505922
order the expression from least to greatest
Answers
Answer:
So it would be 4, 11, 20
Step-by-step explanation:
[tex]11^1 = 11[/tex]
[tex]2^2 * 5 = 20[/tex]
[tex]8^2-60 =4[/tex]
Find the exact value of tan π/12.
Answers
[tex]\textit{Half-Angle Identities}\qquad tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}~~\leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\\\ 2\cdot \cfrac{\pi }{12}\implies \cfrac{\pi }{6}~\hspace{10em} \cfrac{~~ \frac{\pi }{6}~~}{2}\implies \cfrac{\pi }{6}\cdot \cfrac{1}{2}\implies \cfrac{\pi }{12}[/tex]
so let's use the double of the angle in the half-angle identities, check the picture below for the cosine, sine pairs
[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{sin\left( \frac{\pi }{6} \right)}{1+cos\left( \frac{\pi }{6} \right)}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{1+\frac{\sqrt{3}}{2}}[/tex]
[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{~~\frac{2+\sqrt{3}}{2}~~}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2}\cdot \cfrac{2}{2+\sqrt{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2+\sqrt{3}}~\hfill[/tex]
How can you solve multistep equations that represent real world
scenarios?
Answers
A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends at a constant rate for 212 minutes and reaches a depth no more than 46.7 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r≥241925
r≤12.6
r≤241925
r≥12.6
Answers
Answer:
r <= 12.6
Step-by-step explanation:
Let's calculate the rate at which he descends:
r = (46.7 - 15.2)/212 = 0.15 feet/minute
If 6 pounds of apples cost $4.80 what is the cost per 9 pounds
Answers
Answer:
Cost of 1 pound apple:4.80/6=2.4
cost of 9 pounds apple:2.4 ×9=21.6
16. Write an equation for the line that is parallel to the given line and passes through the given
(1 point)
point
y = 3x+7; (2, 10)
A. Y=3x + 11
B. y = 3x + 4
C. y=-3x+4
D. y=(-1/3)x+ 4
Answers
Answer:
Step-by-step explanation:
Parallel lines have identical slopes
y = 3x + b
add in the desired point
10 = 3(2) + b
b = 4
B. y = 3x + 4
Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?
Answers
on tuesday a local a hamburger shop sold a combined total of 448 hamburgers and cheeseburgers , the number of cheeseburgers sold was three times the number of hamburgers sold how many hamburgers were sold on tuesday ?
Answers
Hamburgers=1/4
448/4=112
112x3=336
Cheeseburgers=336
Hamburgers=112
112 hamburgers were sold on Tuesday.
You take a test with 25 questions. Your grade on the test was a 80%. How many questions did you get right?
Answers
Explanation: 25 divided by 20 = 80%
Answer:
20 questions
Step-by-step explanation:
1.) Use the following equation:
[tex]\frac{x}{y}[/tex] = [tex]\frac{p}{100}[/tex]
2.) For this equation,
x is the # of test question you got righty is the total # of test questionsp is the grade you got on the test3.) Substitute
[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]
4.) Solve
[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]
[tex]\frac{x}{25}[/tex] = [tex]\frac{8}{10}[/tex]
[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]
5.) Cross Multiply
[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]
5x = 100
6.) Divide
5x = 100
x = 20
Therefore, you got 20 questions right.
what is x- 2 1/2 = 6 3/4
Answers
Answer:
3 2/2
Step-by-step explanation:
A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
7=4m +c( y intercept)
Step-by-step explanation:
use the formula y= mx +c
What is the length of LN in the right triangle below?
Answers
Answer:
D 280
Step-by-step explanation:
Pythagoras theorem
Answer:
a
Step-by-step explanation:
LN=√19＾2 - 9＾2
=√361 - 81
=√280
I need help fast I forgot how to do this
Answers
Answer:
ABC & E are true statements about the graph
Hi guys can u guys help me add 322 + 12
Answers
Answer:
334 is the answer
Step-by-step explanation:
you add them together
Answer:
334 is the right answer
Step-by-step explanation:
please mark me brainliest
please need help with this Calculus question
Answers
need this soon please
Answers
Answer: pretty sure -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
(-80) - (-10) is -79
-70 / (+10) = -7
(fog) f(x) = 1/x g(x) square root x+3
Answers
Answer:
see the step below, but I'm not sure if this you want
Step-by-step explanation:
[tex](fog) = \frac{1}{ \sqrt{x + 3} } [/tex]
[tex](fog) = \frac{ \sqrt{ x + 3} }{x + 3} [/tex]
Solve this plz question plz
Answers
We have: [tex](-\frac{15}{18})[/tex] ÷ [tex](-\frac{20}{24})[/tex] = [tex]\frac{-15}{18} .\frac{-24}{20} = \frac{(-3)(5).(-4)(6)}{(3)(6).(4)(5)} = 1[/tex]
ANSWER: 1
ok done. Thank to me :>
Answer:
1
Step-by-step explanation:
[tex]( - \frac{15}{18} ) \div ( - \frac{20}{24} ) \\ now \: you \: have \: fraction \: divided \: by \: fraction \: then \: do \: reciprocal \: \\ ( - \frac{15}{18} ) \times ( - \frac{24}{20} ) \\ = 1[/tex]
Which equation represents this line in point-slope form?
A.
`(y + 4) = (4)/(3) (x + 3)`
B.
`(y −4) = -(4)/(3) (x +3)`
C.
`y= -(3)/(4)x`
D.
`4y− 3x = 0`
Answers
Answer:
The Answer is Option A or Option B
Step-by-step explanation:
First let's review what point slope form is.
[tex]y - y 1 = m(x - x1)[/tex]
To take a line and put it into point slope form you need to identify one of the points. In this case the point is either (-3, -4) or (-3, 4) but without a graph attached I cannot personally say which one it is.
You will also need to identify the slope of the line (m) based on the graph, so identify if the graph is ascending or descending. This alone can determine your answer
Again, there is no graph provided so it is up to you to determine if it is Option A or B.
I really hope this helps and you have a great rest of your day!
Note: I am not a professional educator so take my opinion carefully.
=)
A CD is on sale for $10.00. The sales tax rate is 6%. How much will the total cost be for the CD
Answers
Answer:
$10.06
Step-by-step explanation:
Tax rate = 6% , convert into 0.06
10 × 0.06 = 0.6
10 + 0.6 = 10.06