Answer:
3x^3y^7.
Step-by-step explanation:
8 * x^2 * y^3 * 3/8 * x * y^4
= 8 * 3/8 * x^2 * x * y^3 * y^4
= 3x^3y^7.
Answer:
3x^3y^7
Step-by-step explanation:
( 8 x^2 y^3) *( 3/8 x y^4)
Multiply the coefficients
8 * 3/8 = 3
Multiply the x terms
x^2*x = x^3
Multiply the y terms
y^3 * y^4 = y^(3+4) = y^7
Put them back together
3x^3y^7
A function() is graphed
What is the slope of the function?
m
What is the intercept of the function?
Which equation represents the graph of the function?
Yet another Calculus question...
This time, it's about integrals/antiderivatives. The question asks to find the value of [tex]\int\limits^6_0 {[g(x)+2]} \, dx[/tex]. Since the derivative of 2 is 0, can I directly find [tex]\int\limits^6_0 {g(x)} \, dx[/tex]? Thanks in advance!
Answer:
[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 32[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^6_0 {g(x)} \, dx = 20[/tex]
[tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = \int\limits^6_0 {g(x)} \, dx + \int\limits^6_0 {2} \, dx[/tex][2nd Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = \int\limits^6_0 {g(x)} \, dx + 2\int\limits^6_0 {} \, dx[/tex][1st Integral] Substitute in value: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2\int\limits^6_0 {} \, dx[/tex][Integral] Reverse Power Rule: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2(x) \bigg| \limits^6_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 20 + 2(6)[/tex]Simplify: [tex]\displaystyle \int\limits^6_0 {[g(x) + 2]} \, dx = 32[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
32
(I think I remember your other information correctly.)
Step-by-step explanation:
I think you said you were given
*Integral from x=-5 to x=0 of g was -14
*Integral from x=-5 to x=6 of g was 6
Asked to find integral( g(x) + 2 , from x=0 to x=6)
Yes this can be split into two integrals:
Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)
The last integral is easier... the antiderivative or 2 is 2x. So evaluate 2x as the limits and subtract. Always plug in the top limit first. 2(6)-2(0)=12-0=12
Let's start with the bigger interval from x=-5 to x=6 which was 6... and since we want to get rid of the interval from x=-5 to x=0 to find the integral of g from x=0 to 6, all we must do is do 6-(-14)=20.
Integral( g(x) + 2 , from x=0 to x=6)
=
Integral(g(x), x=0 to x=6) + Integral(2, x=0 to x=6)
=
20+12
=
32
Best answer gets brainliest and 5 stars
Answer:
B
Step-by-step explanation:
5^2+12^2=25+144=169=13^2 which will form a right angle triangle
how can I solve this question 25 divide by 1,582 in the best way.
Step-by-step explanation:
1582/15
105.4667
is the answer
Step-by-step explanation:
25/ 1582
ans=0.0158027813 it this ans
Please help!!!!
Graph a line with a slope of 1/4 that contains the point (6,3).
Any silly comments will be reported! Explain if possible!
Answer:
y = (1/4)x+1.5
Step-by-step explanation:
What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction? w = –6 and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
Answer:
Hope it will helps you
.
.
Answer:
and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
hope it's help you...!!!
#rishu
From the table below, determine whether the data shows an exponential function. Explain why or why not. x 3 1 -1 -3 y 1 2 3 4 a. No; the domain values are at regular intervals and the range values have a common sum 1. b. No; the domain values are not at regular intervals. c. Yes; the domain values are at regular intervals and the range values have a common factor 2. d. Yes; the domain values are at regular intervals and the range values have a common sum 1. Please select the best answer from the choices provided A B C D
Answer:
C
Step-by-step explanation:
you find the variable
Help anyone can help me do the question,I will mark brainlest.
area of shaded region is 537.5cm^2
How much film does he have
Answer:
not 100% sure what the question is
but he has 85 movies
that are about 9350 minutes runtime which is about 155.8 hours of film
Step-by-step explanation:
191+13=13+191191+13=13+191
what type of property is that
what nice question that we can understand ok
Given a positive integer N. Deleting the last digit of N decreases it by 2021. What is N ?
The value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, [tex]N=2245[/tex].
Given: A positive integer N such that deleting the last digit of N decreases it by 2021
To find: The value of N
Let x be the integer consisting of all digits of N except the last digit and let the last digit of N be d.
Then, [tex]N=10x+d[/tex]
It is given that deleting the last digit decreases it by 2021
Then, [tex]x=N-2021[/tex]
Substitute [tex]N=10x+d[/tex] in [tex]x=N-2021[/tex] to get,
[tex]x=10x+d-2021[/tex]
[tex]d=2021-9x[/tex]
Since d is a digit, we have,
[tex]0\leq d\leq 9[/tex]
Substitute [tex]d=2021-9x[/tex] in [tex]0\leq d\leq 9[/tex] to get,
[tex]0\leq 2021-9x\leq 9[/tex]
[tex]9x\leq 2021\leq 9x+9[/tex]
[tex]9x\leq 2021\leq 9(x+1)[/tex]
[tex]x\leq \frac{2021}{9} \leq x+1[/tex]
[tex]x\leq 224.5556 \leq x+1[/tex]
Then,
[tex]x\leq 224.5556[/tex] and [tex]224.5556 \leq x+1[/tex]
[tex]x\leq 224.5556[/tex] and [tex]x\geq 223.5556[/tex]
[tex]223.5556 \leq x \leq 224.5556[/tex]
Since x is an integer, the only possibility that satisfies the above inequality is, [tex]x=224[/tex]
Substitute [tex]x=224[/tex] in [tex]d=2021-9x[/tex] to get,
[tex]d=2021-9(224)[/tex]
[tex]d=2021-2016[/tex]
[tex]d=5[/tex]
Substitute [tex]x=224[/tex] and [tex]d=5[/tex] in [tex]N=10x+d[/tex] to get,
[tex]N=2245[/tex]
Thus, the value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, [tex]N=2245[/tex].
Learn more about word problems with digits of a number here:
https://brainly.com/question/17236020
You are constructing a copy of . You choose a point, C, as one of the endpoints for the new line segment. What is the next step in the construction?
Answer: Keep the compass needle on A, and stretch the compass width to B
Step-by-step explanation: If AB is also a line segment, then the answer is: Keep the compass needle on A, and stretch the compass width to B.
what is the answer to -22/9r = 11/9
Answer:
2
Step-by-step explanation:
for this question you've to cross multiply
-22/9r=11/9
99r=-198
then you divide both sides by 99 inorder to remain with r on one side
99r/99=198/99
r=2
I hope this helps
3a
[tex] \frac{3a + a {}^{2} }{a} [/tex]
Simplify.
Answer:
(3+a)
Step-by-step explanation:
3a + a^2
-------------
a
Factor out an a in the numerator
a(3+a)
-------------
a
Cancel like terms
(3+a)
Step-by-step explanation:
[tex] \frac{3a + {a}^{2} }{a} \\ = \frac{3a}{a} + \frac{ {a}^{2} }{a} \\ = 3 + a \\ thank \: you[/tex]
7>x/4 solve for x
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
28 > x
Step-by-step explanation:
7>x/4
Multiply each side by 4
4*7 > x/4 *4
28 > x
Answer:
28 > x
Step-by-step explanation:
7>x/4
Multiply each side by 4
4*7 > x/4 *4
28 > x28 > x
Sarah has 27
27 feet of wire to make bead necklaces. If each necklace
requires 12 feet of wire, how many necklaces can she make?
1
Answer:
= 2 R 3
= 2 3/12
= 2 1/4
Step-by-step explanation:
0 2
1 2 2 7
− 0
2 7
− 2 4
3
How do you do this TwT
Answer:
Step-by-step explanation:
First step plug the numbers into the equation.
-10/(5+2) = (-10/5) + (-10/2)
Solve both sides of the equation separately.
-10/(5+2) Use distributive property, multiply both 5 and 2 by -10.
= -50 + (-20) = -70
-10/5 + -10/2 Multiply the fractions so they can be added together.
-10/5*2 = -20/10 -10/2*5 = -50/10
-20/10 + -50/10 = -70
Now you have solved both equations and they are both equal to -70, so you have verified that the equations are equal to each other because they both equal -70.
What is the greatest common factor of 30, 45, and 90?
Answer:
15
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 15.
It is 5 cm between two buildings on a map that has a scale of 100 000:1. What is their actual
distance apart?
O A.
0.5 km
B. 50 km
C.
5 km
OD.
500 km
Answer:
C 5 km
Step-by-step explanation:
so, 5 cm on the map correlates to
5×100000 = 500000 cm in reality.
100 cm = 1 m
1000 m = 1 km
so, 500000 / 100 = 5000 m.
5000 / 1000 = 5 km
lets try this again plz help
Answer:
[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]
frank bought 3 action figures 2 board games and 3 toy cars at the toy store . The action figure coast 1.95$ each, the board games coast 5.10$ a piece and the toy cars were 1.00$ if he paid with a twenty dollar bill, how much change should he get back?
Answer:
-5
Step-by-step explanation:
Which expression has the same value as 4x – 3y?
O 3y - 4x
0 -3y - 40
Submit Answer
4x + 3y)
0-4x + (-3y)
POP Teleco
o
Answer:
4x+(-3y)
Step-by-step explanation:
[tex]\\ \rm\longmapsto 4x+(-3y)[/tex]
(-)(-)=(+)(+)(-)=(-)(-)(+)=(-)(+)(+)=(+)[tex]\\ \rm\longmapsto 4x-3y[/tex]
The coordinate grid shows the graph of four equations:
Which set of equations has (3, 1) as its solution?
A and B
C and D
B and D
A and D
Answer:
A and D
Step-by-step explanation:
All you need to do is locate the point (3,1) on the graph and figure out which two lines are intersecting it. In this case it is A and D so that is your solution.
What is the leading coefficient of 8 -5x+x^3-2x^4
Answer:
-2
Step-by-step explanation:
8 -5x+x^3-2x^4
Write the polynomial from highest power of x to lowest power of x
-2x^4+x^3-5x+8
The leading coefficient is the number in front of the highest power of x
-2
Menos 10 * 12 * -4 + 40 * -2 * 6 - 2 por favor
Answer:
-2
Step-by-step explanation:
-10 x 12 x -4 + 40 x -2 x 6 - 2
-120 x -4 - 80 x 6 - 2
480 - 480 - 2
0 - 2
-2
find LCM of 60,40 and 90
Answer:
Step-by-step explanation:
Prime factorize.
60 = 2 *2 * 3 * 5 = 2² * 3 * 5
40 = 2 * 2 * 2 *5 = 2³ * 5
90 = 2 * 3 * 3 * 5 = 2 * 3² * 5
LCM = 2³ * 3² * 5 = 8 * 9 * 5 = 360
the two triangles below are similar use what you know about similar triangles to find the missing side. show your work
If both triangles are similar the ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12[/tex]
Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?
Pls help :)
Answer:
The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M
Step-by-step
Change:
7h10= 430 mins
1 hour and 25 minutes= 85 mins
2 hours and 5 mintues= 125 mins
- Total time Ruth wants to do before his dinner reservations:
85+ 125+ 50= 260 (mins)
- The latest time Ruth's family can start their tour in order to make it to dinner on time:
430- 260= 170 (mins)
Change: 170 mins= 2 hours and 50 minutes
Good luck!
What is the reciprocal of 12 is
Answer:
1/12
Step-by-step explanation:
The reciprocal of any given x is 1/x. That makes the reciprocal of 12, 1/12.
Answer:
1/12
Step-by-step explanation:
12 is also written as 12/1, therefore to find the inverse of 12/1 the denominator now becomes the numerator and vice versa
4. RE and RD are tangent to circle M. If RE measures 8.4 cm, what is the measure of RD?
Answer:
B. 8.4
Step-by-step explanation:
RE and RD are equal
I hope this helps!
pls ❤ and mark brainliest pls!
