Hi!
Lets work through this problem together.
If they have 80 Goldfish in all, and Andrew has 20 more than Todd, that means that means Andrew has i think 60.
Let f be a differentiable function such that f(3) = 2.345 and f' (x) = ln (x^2+ 1). What is the value of f (5)?
A) 3.301
B) 5.631
С) 6.950
D) 7.976
Use a linear approximation to [tex]f(x)[/tex] centered at [tex]x=3[/tex]:
[tex]f(x)\approx f(3) + f'(3)(x-3)[/tex]
Then
[tex]f(5)\approx2.345+\ln(3^2+1)(5-3)\approx6.95[/tex]
which makes C the most likely choice.
Here we want to solve the differential equation, by finding the Taylor expansion of the function and evaluation we will find that f(5) = 6.950, so the correct option is C.
Taylor series the equation:Here we must start by doing a Taylor expansion of the function, remember that the Taylor expansion is given by:
f(x) = f(a) + f'(a)*(x - a) + ...
The series has more terms, but we can work with two to get an estimation, if we use a = 3 we get:
f(x) = f(3) + ln(3^2 + 1)*(x - 3) = 2.345 + ln(10)*(x - 3)
Now we evaluate this in x = 5 to get:
f(5) = 2.345 + ln(10)*(5 - 3) = 6.950
So the correct option is C.
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Write this number in scientific notation 38200000
Look at attachment down below
Answer:
3.82 × 107
Step-by-step explanation:
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
Calculate the sum of the infinite series 72+60+50+125/3+...
The sum of the given infinite series is 432.
The given infinite series is 72+60+50+125/3+.......
What is the sum of the infinite series formula?The general formula for finding the sum of an infinite geometric series is S=a/r-1, where s is the sum, a1 is the first term of the series, and r is the common ratio.
From the series a=72 and r=60/72 =5/6
So, sum = [tex]\frac{72}{1-\frac{5}{6} }[/tex]
= [tex]\frac{72}{\frac{1}{6} }[/tex]
= 72×6
= 432
Hence, the sum of the given infinite series is 432.
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Order the integers {0, |-20|, -3, 19, -13} from least to greatest
Answer:
-13, -3, 0, 19, 20
Step-by-step explanation:
Since |-20| equal 20 so -13 is the lowest
then -3
then 0
19; 20.
{PLSSSSSSSSSSSSSSSSS I NEED HELPPP :((( Im giving away 30 POINTS
A train left a station at 8:00 am going at 45 mph. A second train left the station at 10:00 am going in the same direction at 55 mph. At what time will the second train catch up with the first train?
Answer:
at 12 pm they will meet
Step-by-step explanation:
common sense.
monica says the slope of a vertical line is 0. describe how you would explain mathematically, that she is correct
Answer: monica says the slope of a vertical line is 0. describe how you would explain mathematically, that she is correct
Step-by-step explanation: As she loads the boat with the supplies she will need, she ... What is the vertical change between: ... What do you notice about the slope of the line in Items 4a, 4b, and 4c? 6. ... 88 SpringBoard® Integrated Mathematics I, Unit 2 • Linear Functions ... 0 c. Does the function have a constant rate of change? If so, what is it? d.
The relationship between the number of pounds (lb) of beef and the total cost
in dollars is shown in the graph. What is the unit price of beef?
A. $1/ 5 lb
B. $10/ 2 lb
C.$5/ 1 lb
D. 1 lb/ $5
Answer:
C.
Step-by-step explanation.
The unit price of the beef is $5 for 1 pound. Then the correct answer is option C.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given graph is following the linear pattern for the price of the beef. In the graph, the cost of 1 pound of beef is $5 or for 2 pounds it is 10$.
The equation for the linear graph is written as:-
Cost = $ [ 5 ( Weight )]
Hence, the correct answer is option C.
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please help meee I will give a brainleist to anyone that answeres !!!!!
Answer:
1) > 2) 4^6 3) 3072
Step-by-step explanation:
What value of n makes the equation 0.3(12 n-16)=0.4(12-3n) true
Answer:
n=2
Step-by-step explanation:
I believe that n= 2. please correct me if I am wrong.
Danielle sells lemonade and orange juice. Each glass of lemonade $3. Each glass or orange juice $2. She writes the number patterns to represent the costs. Which describes the costs of the drinks?
Lemonade: 0, 3, 6, 9, 12, 15..
Orange juice:0, 2, 4, 6, 8, 10..
A. Each glass or lemonade costs $1.50 more than glass or orange juice.
B. Each glass of lemonade costs 1 1/2 times the cost of each glass of orange juice.
C. Each glass of orange juice costs 1 1/2 times the cost of each class glass or lemonade
D. Each glass of orange juice costs $2.00 less than each glass of lemonade
Answer:
B
Step-by-step explanation:
3 / 2 = 1.5
Later you have another chocolate bar. This time, after you give away 1/3 of the
bar, a friend breaks off 3/4 the remaining piece. What part of the original
chocolate bar do you have left?
Answer:
chocolate bar - 1 (whole number)
Step-by-step explanation:
[tex]1 - \frac{1}{3} \\ > \frac{3}{3} - \frac{1}{3} = \frac{2}{3} [/tex]
[tex] \frac{2}{3} - \frac{3}{4} \\ > \frac{2 \times 4}{3 \times 4} - \frac{3 \times 3}{4 \times 3} \\ \\ \\ > \frac{8}{12} - \frac{9}{12} [/tex]
so I switch it become
[tex] \frac{9}{12} - \frac{8}{12} = \frac{1}{12} [/tex]
What is the sum? 3/8 • (-3/6)
Answer: The answer is -3/16
Step-by-step explanation: brainlest please
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? adult tickets
Answer:
168 adult tickets
Step-by-step explanation:
3.75(82) (82 students)
307.5
2071.5 - 307.5 ( you subtract since you only need to know the number of adults)
1764
1764/10.5 (you divide since each adult is 10.5$)
168
The number of adult tickets sold was 168.
Given that, the tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50.
Total number of students =82
What is the system of equations?In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
a is the number of adult tickets sold and b is the number of student tickets sold.
Now, 10.50a+3.75b=2071.50
Put b=82 in the equation 10.50a+3.75b=2071.50 and simplify.
10.50a+3.75×82 =2071.50
⇒10.50a+3.75×82 =2071.50
⇒10.50a+307.5 =2071.50
⇒10.50a=1,764
⇒a=168
Therefore, the number of adult tickets sold was 168.
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Two trucks leave a factory at the same time. One travels east at 60 mph, and the other travels west at 30mph. In how many hours will they be 150 miles apart ?
Simplify and divide the following radical expression: 7/ 8√7
Answer:
Answer:
3
√
5
5
Step-by-step explanation:
1. $65 to $75
2. 350 yards to 420 yards
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Step-by-step explanation:
i need more things like what's the whole problem?
plus $10
70 yards
will u help meee out
Answer:
What's the question?
Step-by-step explanation:
If you wrote 0.0009763 as a single digit times a power of ten, would the exponent be positive or negative?
The exponent would be negative because the original number is greater than one.
The exponent would be positive because the original number is greater than one.
The exponent would be negative because the original number is less than one.
The exponent would be positive because the original number is less than one.
Answer:
the exponent would be negative because the original number is less than one
Step-by-step explanation:
example: 0,1= 1.10^-1
The exponent would be negative because the original number is less than one. Option 3 is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
0.0009763 can be written as a single-digit time power of ten by the following representation,
0.0009763 = 9.763×10⁻⁴
The power of the integer 10 is shown as the exponent. Here the value of the power of 10 is -4, as a result, the value of the exponent would be negative and it is due to the fact that the original number is less than one.
Thus, the exponent would be negative because the original number is less than one. Option 3 is correct.
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It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer: b 25p+45>= 8
Step-by-step explanation:
What is the length of ? A. 13 B. 9 C. 81 D. 11
Answer:
C. 81
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
AP3X
An app developer projects that he will earn $20.00 for every 8 apps downloaded. Write an equation to represent the proportional relationship between the number of apps and the total earnings.
Answer:
m = 20.00 x (a/8)
m = money
a = apps
Forgive me if this is incorrect, I haven't worked with proportional relationships in a while.
Answer:
y=2.5
Step-by-step explanation:
Bowl B1 contains two white chips, bowl B2 con-tains two red chips, bowl B3 contains two white and two red chips, and bowl B4 contains three white chips and one red chip. The probabilities of selecting bowl B1, B2, B3, or B4 are 1/2, 1/4, 1/8, and 1/8, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find (a) P(W), the probability of drawing a white chip. P(B1 I W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
Answer:
By using law of total probability:
P(W) = ∑i P(Bi ) P(W/Bi)
=1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4
=1/2 + 0 + 1/16 + 3/32
= 21/32
= 0.656
Step-by-step explanation:
B1 contains = two white chips
B2 contain = 2 red chips
B3 contain = 2 white and 2 red chips
B4 contains = 3 white chips and 1 red chips
P(B1) = 1/2
P(B2) = 1/4
P(B3) = 1/8
P(B4) = 1/8
Probability of drawing white chips:
P(W / B1) = 2. 1/2 = 1
P(W/B2) = 0/2 = 0
P(W/B3) = 2/4 = 2
P(W/B4) =3/4
By using law of total probability:
P(W) = ∑i P(Bi ) P(W/Bi)
=1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4
=1/2 + 0 + 1/16 + 3/32
= 21/32
= 0.656
the length of a rectangle is 6 inches longer than its width. If the perimeter of the rectangle is 48 inches, find its area
Given a = 4, b = -2 and c = 8, evaluate ab - bc. -4 -24 8
Answer:
-244
Step-by-step explanation:
(4)(−2)−(−2)(8)−4−248
Answer:
8
Step-by-step explanation:
ab - bc
(4)(-2) - (-2)(8)
= 8
Need help ASAP.... only have 20 mins left
Answer:
-2
Step-by-step explanation:
one to the right and 2 down
rise over run so
2/1 equals 2 since down two there should be a negative
4y + 15 = 6y - 11 and 5p + 6 = 4p - 8
Explain how to solve
Answer:
The first one: y = 13
The second one: p = -14
Step-by-step explanation:
4y + 15 = 6y - 11
Add 11 to both sides.
4y + 26 = 6y
Subtract 4y from both sides.
26 = 2y
Divide both sides by 2
y = 13
5p + 6 = 4p - 8
Add 8 to both sides
5p + 14 = 4p
Subtract 5p from both sides.
14 = -1p
Divide both sides by -1
p = -14
Hope I helped :)
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If an object fell to the ground from the top of a 1,600-foot-tall building at an average speed of 160 feet per second, how long did it take to fall?
10 seconds
16 seconds
100 seconds
160 seconds
Answer:16 I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i took the test
sin 3A = cos (A – 70ᵒ), where A is an acute angle then
A = ________________ ᵒ.
Answer:
A = 40°
Step-by-step explanation:
[tex] \sin 3A = \cos (A – 70ᵒ) \\ \\ \cos(90 \degree - 3A) = \cos (A – 70ᵒ) \\ \{\because \: \cos(90 \degree - \theta) = \sin \theta \} \\ \\ (90 \degree - 3A) = (A – 70ᵒ) \\ \\ 90 \degree + 70ᵒ = 3A + A \\ \\ 160 \degree = 4A \\ \\ A = \frac{160 \degree}{4} \\ \\ \huge \red{ \boxed{A = 40 \degree}}[/tex]
Franceska charges eight dollars an hour to babysit children five years of age and younger and six dollars an hour to babysit children over five years of age this week Francisco spent 10 hours babysitting a two-year-old and five hours babysitting an eight-year-old and how much money did Francisco make from babysitting this week
Answer:
Francisco/Franceska made 110 dollars.
Step-by-step explanation:
$8/hr- less than 5yrs
$6/hr- more than 5yrs
10hrs- 2yr old=$80
5hrs- 8yr old= $30
30+80= $110 this week
Answer:
$110
Step-by-step explanation:
Ages 5 and younger- $8
Ages over 5- $6
2 year old-10 hrs= 10x$8=$80
8 year old-5 hrs= 5x$6=$30
$80+$30=$110
Evaluate this expression (6 x 10³) ÷ (3 x 10²) Express your answer in scientific notation.
HELPPPP
9514 1404 393
Answer:
2×10¹
Step-by-step explanation:
For division, mantissas divide, and exponents subtract.
[tex]\dfrac{6\times10^3}{3\times10^2}=\dfrac{6}{3}\times10^{3-2}=\boxed{2\times10^1}[/tex]
7x+1 + 4x-3= 42
I need help on how to find x
7x + 1 + 4x - 3 = 42
11x - 2 = 42
add 2 to both sides
11x = 44
divide both sides by 11
x = 4
Hope this helps!