Answer:
on the third number it says 344,636 and there is a double 4
Suppose Upper F Superscript prime Baseline left-parenthesis x right-parenthesis equals 3 x Superscript 2 Baseline plus 7 and Upper F left-parenthesis 0 right-parenthesis equals 5. Find the value of Upper F left-parenthesis b right-parenthesis for b equals 0 comma 0.1 comma 0.2 comma 0.5 comma and 2.0.
It looks like you're given
F'(x) = 3x² + 7
and
F (0) = 5
and you're asked to find F(b) for the values of b in the list {0, 0.1, 0.2, 0.5, 2.0}.
The first is done for you, F (0) = 5.
For the remaining b, you can solve for F(x) exactly by using the fundamental theorem of calculus:
[tex]F(x)=F(0)+\displaystyle\int_0^x F'(t)\,\mathrm dt[/tex]
[tex]F(x)=5+\displaystyle\int_0^x(3t^2+7)\,\mathrm dt[/tex]
[tex]F(x)=5+(t^3+7t)\bigg|_0^x[/tex]
[tex]F(x)=5+x^3+7x[/tex]
Then F (0.1) = 5.701, F (0.2) = 6.408, F (0.5) = 8.625, and F (2.0) = 27.
On the other hand, if you're expected to approximate F at the given b, you can use the linear approximation to F(x) around x = 0, which is
F(x) ≈ L(x) = F (0) + F' (0) (x - 0) = 5 + 7x
Then F (0) = 5, F (0.1) ≈ 5.7, F (0.2) ≈ 6.4, F (0.5) ≈ 8.5, and F (2.0) ≈ 19. Notice how the error gets larger the further away b gets from 0.
A better numerical method would be Euler's method. Given F'(x), we iteratively use the linear approximation at successive points to get closer approximations to the actual values of F(x).
Let y(x) = F(x). Starting with x₀ = 0 and y₀ = F(x₀) = 5, we have
x₁ = x₀ + 0.1 = 0.1
y₁ = y₀ + F'(x₀) (x₁ - x₀) = 5 + 7 (0.1 - 0) → F (0.1) ≈ 5.7
x₂ = x₁ + 0.1 = 0.2
y₂ = y₁ + F'(x₁) (x₂ - x₁) = 5.7 + 7.03 (0.2 - 0.1) → F (0.2) ≈ 6.403
x₃ = x₂ + 0.3 = 0.5
y₃ = y₂ + F'(x₂) (x₃ - x₂) = 6.403 + 7.12 (0.5 - 0.2) → F (0.5) ≈ 8.539
x₄ = x₃ + 1.5 = 2.0
y₄ = y₃ + F'(x₃) (x₄ - x₃) = 8.539 + 7.75 (2.0 - 0.5) → F (2.0) ≈ 20.164
The graph below shows the cost C for bowling g games at Strike King. Another bowling center, Thunder Alley, charges $2.25 per game.
At what point do the graphs of Strike King (shown) and the graphs of Thunder Alley (not shown) intersect? Explain why this is always the case for proportional relationships.
Answer:
They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.
Step-by-step explanation:
Antonio completed the right column of the table to help him find the sum of twonights and 1/5. In which step did his first ever occur?
a line contains the points P(1,1) and Q(7, 10). What is the slope of the line
Answer:
1.5
Step-by-step explanation:
Well, if we calculate the divisionary constant between the two values we can establish a quantum link on the 4th dimension and then add 12 to both sides of the equation, then calculate the square of the 7th digit in the alphabet, giving the answer 1.5.
or like,
change in y value divided by change in x value, giving;
(10-1) / (7-1)
please help me graph it!
HELP ME PLZ
A figure is shown in the image. What is the measure, in
degrees of
А. 95.4
B. 52.1
C. 74.2
D. 64.7
Answer:
Step-by-step explanation:
angles x, 2x, and 23.7 add up to 180 degrees
x + 2x + 23.7 = 180
3x + 23.7 = 180
subtract 23.7 on both sides
3x + 23.7 - 23.7 = 180 - 23.7
3x = 156.3
divide both sides by 3
x = 52.1
Angle C is a straight line = 180 degrees
Angle B is found by adding 32.5 and x, and subtracting it from 180 degrees (since three angles in a triangle must add up to 180)
we found x = 52.1 degrees
so angle B = 180 - 32.5 - 52.1 = 95.4 degrees
please give heart and brainliest :)
Pleas help me find the answer and show the work to this question
Answer:
[tex]Leg\ 1 = 8[/tex]
[tex]Leg\ 2 = 15[/tex]
Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.
[tex]Hyp^2 = Adj^2 + Opp^2[/tex]
In this case:
[tex]17^2 = x^2 + (2x- 1)^2[/tex]
Open Bracket
[tex]17^2 = x^2 + 4x^2- 2x-2x + 1[/tex]
[tex]17^2 = 5x^2 - 4x + 1[/tex]
[tex]289= 5x^2 - 4x + 1[/tex]
Collect Like Terms
[tex]5x^2 - 4x + 1 - 289 = 0[/tex]
[tex]5x^2 - 4x - 288 = 0[/tex]
Solving using quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
So:
[tex]x = 8[/tex] or [tex]x = -7.2[/tex]
Since, x can't be negative, then:
[tex]x = 8[/tex]
One of the leg is:
[tex]Leg\ 1 = x[/tex]
[tex]Leg\ 1 = 8[/tex]
[tex]Leg\ 2 = 2x - 1[/tex]
[tex]Leg\ 2 = 2*8 - 1[/tex]
[tex]Leg\ 2 = 16 - 1[/tex]
[tex]Leg\ 2 = 15[/tex]
help pls. it would be much appreciated
Step-by-step explanation:
By Sine rule, BC/sin93° = 11/sin42°.
Therefore BC = 16.4.
Find the equation for parabola
Focus(3,4)
Directrix y=2
Answer:
Step-by-step explanation:
we know that distance d from the focus to P should be the same to the distance from P to the directrix
(x-h)^2=4p(y-k)
we need to find the y coordinate,
x is the same from focus, 3
y=(3, (4+2)/2)=(3,3)
we find p now by subtracting the y from the focus from the y that we just found
p=4-3=1
again (x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3), (x-3)^2=4y-12
simplify
4y=(x-3)^2+12
y=((x-3)^2)/4 + 3
The equation for the parabola would be y = ((x-3)^2)/4 + 3.
How to find the equation for the parabola?We already know that distance d from the focus to P must be the same as the distance from P to the directrix
(x-h)^2 = 4p(y-k)
x is the same from focus 3
y = (3, (4+2)/2)
y =(3,3)
by subtracting the y from the focus from the y that we get
p = 4-3 =1
similalry,
(x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3),
(x-3)^2=4y-12
simplify it;
4y=(x-3)^2+12
y = ((x-3)^2)/4 + 3
Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.
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Solve the system of equations by substitution.
x+y=32
y=7x
Answer:
x=4
Step-by-step explanation:
since y=7x
x+7x=32
8x=32
x=4
Answer:
x=4
Step-by-step explanation:
x+y=32
y=7x
Since Y can be replaced by 7x, substitute into eq1.
x+y( notice y can be replaced by 7x) =32
x+7x=32 ( Y got replaced
8x=32
Divide 8 on both sides.
x=4
Hope this helps plz hit the crown :D
please help me and my mom can't figure it out at all
Answer:
simple
Step-by-step explanation:
p= 30
hahahaha asking how
ok let's go
that 90°is also 90°in those angles around it
for the 140
sum of angles in a straight line =180
180-140
that's 40
90+40 =130
then sum of angles in a triangle=180
therefore 180-130=50
MAGIC/WISDOM
hope it's helpful thank me later
Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine the number of days Alejandro has gone to school?
35 divided by 7 = StartFraction 5 Over 7 EndFraction
35 times StartFraction 5 Over 7 EndFraction
StartFraction 5 Over 7 EndFraction divided by 35
StartFraction 7 Over 5 EndFraction divided by 35
Answer:
35 times StartFraction 5 Over 7 EndFraction
Step-by-step explanation:
Alejandro has gone to school (5/7) of the last 35 days.
We need to find the expression that can be used to determine the number of days Alejandro has gone to school.
[tex]x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25[/tex]
So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".
Answer:
(B) 35x5/7
Step-by-step explanation:
A large tank holds 1.9 x 10^7 gallons of oil. How much oil can be stored in 9 tanks. Write your answer in scientific notation.
Answer:
1.71 × 10^8 gallons
Step-by-step explanation:
1.9 × 10^7 = 19,000,000
19,000,000 × 9 = 171,000,000
171,000,000 in scientific notation is 1.71 × 10^8
Roger and his sister started watching a cartoon movie at 2:45 P.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 2 hours and 30 minutes. What time was it when Roger and his sister finished playing soccer?
Answer:
08:15 pm
Step-by-step explanation:
2:45 + 2:15 + 0:45 + 2:30
=8:15
Solve for s: -2s < 6
AS3
Se
C) s >=-3
D) S-3
Answer:
Step-by-step explanation:
here you go mate
step 1
-2s < 6 equation
step 2
-2s < 6 divide the sides by 2
-2s/-2<6/-2
answer
s>-3
-5 1/4 - (-7 1/2) Simplify, help asap
Answer:
2 1/4
Step-by-step explanation:
Answer:
2.25
Step-by-step explanation:
22 POINTS ( LOTS OF POINTS) A student answered 81 problems on a test correctly and received a grade 90%.
How many problems were on the test, if all the problems were worth the same
number of points?
I think 88 problems were on the test.
You use a battery to power a small hand-held fan to keep cool in the summer. What way is energy transformed?
A:Mechanical to Potential to Kinetic
B: electrical to chemical to potential
C: electrical to kinetic to potential
D: Chemical to electrical to kinetic
Answer:
c electrical to kinetic
Answer:
D
Step-by-step explanation:
Chemical to electric to kinetic
Pentru sala de mese a scolii s-au adus 12 scaune si 7 mese, plătindu-se 320lei.Știind că 4 scaune costă cât trei mese, află prețul unui scaun și prețul unei mese.
Răspuns:
Costul scaunului = 15
Costul mesei = 20
Explicație pas cu pas:
Dat fiind:
Să prețul scaunelor = c; pretul mesei = t
12c + 7t = 320 - - - (1)
4c = 3t; c = 3/4 t - - - (2)
Introducerea c = 3 / 4t în (1)
12 (3 / 4t) + 7t = 320
9t + 7t = 320
16t = 320
t = 320/16
t = 20
c = 3 / 4t
c = 3/4 (20)
c = 15
Costul scaunului = 15
Costul mesei = 20
A wedding planner she did the 234 gas at a reception so that each table have the same number of guest if each table could see no more than 20 people what is the largest possible number of guest at each table
Answer:
the largest number of people she can sit at a table is 18.
Step-by-step explanation:
there would be 13 tables
The required possible tables is 13 and the largest number of people she can sit at a table is 18.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
A wedding planner she did the 234 guests at a reception so that each table have the same number of guest if each table could see no more than 20 people.
According to given question we have
Total number of guest=234
i.e 234/13=18 people
The largest number of people she can sit at a table is 18.
The possible tables can arrange to sit the guest is 13.
Therefore, the required possible tables is 13 and the largest number of people she can sit at a table is 18.
Learn more details about arithmetic here:
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please help me find the value of x!!
Answer:
I wanna say "5"
Step-by-step explanation:
pluging in 5 for every X should get you
15
Help plsssssss.................
Answer:
B
Step-by-step explanation:
you do 0.74 + 0.18 and then subtract 0.8
I need some help ASAP brainliest will be given.
Step-by-step explanation:
y+7=3x
6x-2y=12
y=3x-7
6x-2(3x-7)=12
6x-6x-14=12
-14=12
There is no solution.
You don't have to give reasons please help soon
Answer:
heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
52
Step-by-step explanation:
angle R is a right angle which is 90°
if you add angle S and angle R you get angle PQS because sum of two opposite interior angle is equal to it's exterior angle
34°+90°=x+72°
124°=x+72°
x=124°-72°
x=52°
Which expression is equivalent to 1/8 - 3/8?
Answer:
2/16-6/16
Step-by-step explanation:
Please help me thank you so much I appreciate it
Answer:
right =86
left=94
Step-by-step explanation:
they should add up to 180 so,
6x+52+9x+23 =180
then solve for x
15x+75=180
subtract 75
15x=105
divide by 15
x=7 ,
the left side is
6(7)+52=
42+52=94
the right side
9(7)+23=
63+23=86
(please mark brainliest if correct)
Using the formula for Fahrenheit and Celsius temperatures, F = 9/5 C + 32.
If the temperature is currently 25 degrees F. what is the temperature in C
degrees? Round to the nearest WHOLE number. LABEL
Answer:
-4 degrees Celsius
Step-by-step explanation:
F = 25
Substitute into formula: 25 = 9/5C + 32
subtract 32 from each side: -7 = 9/5C
multiply each side by the reciprocal of 9/5, which is 5/9
-7(5/9) = C
C = -35/9 which is close to -36/9 which is -4 degrees Celsius
please help me i will give brianliest
Answer:
8 is the right answer
Step-by-step explanation:
in triangle swu,, wT bisect and perpendicular on su
so the triangle is isosceles triangle
therfore,Sw =, 8
Help pls .. Determine if the two triangles are congruent. If they are , state how you know.
A. SAS
B. AAS
C. Not enough information
D.SSS
Answer:
C. not enough info
Step-by-step explanation:
Since the indicated angle in the triangle on the left is between the two sides that are marked congruent, and the marked angle on the triangle on the right is not between the two marked sides, there is not enough information to say whether the two triangles are congruent or not.
You can spend up to $35 on a shopping trip. You want to buy a shirt that cost $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt
Answer:
Step-by-step explanation:
a. 35 greater than or equal to 14 + x
35 - 14 = 21
x = $21
b. If the shirt is 30% off it would cost $9.80
14 x 0.3 = 4.2
14 - 4.2 = 9.8
35 is greater than or equal to 9.80 + x
35 - 9.8 = 25.2
x = $25.20
This changes the inequality by making x greater than it was in part a
c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.