Answer:
[tex] \frac{2a}{(b1 + b2)} [/tex]
Step-by-step explanation:
A = 1/2(B1 + B2)h
2A = (B1 + B2)h
h = 2A/(B1 + B2)
The table above gives selected values of twice-differentiable functions f and g, as well as the first two derivatives of g. If f′ (x)=3 for all values of x, what is the value of [tex]\begin{equation}\int_{2}^{4} f(x) g^{\prime \prime}(x) d x\end{equation}[/tex]
Answer:
63
Step-by-step explanation:
∫₂⁴ f(x) g"(x) dx
Integrate by parts.
If u = f(x), then du = f'(x) dx.
If dv = g"(x) dx, then v = g'(x).
∫ u dv = uv − ∫ v du
= f(x) g'(x) − ∫ g'(x) f'(x) dx
f'(x) is constant at 3, so:
= f(x) g'(x) − ∫ 3 g'(x) dx
= f(x) g'(x) − 3 g(x)
Evaluate from x=2 to x=4.
[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]
[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]
64 − 1
63
The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
Given that,
The table above gives selected values of twice-differentiable functions f and g,
The first two derivatives of g. If f′ (x) = 3 for all values of x.
We have to determine,
What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].
According to the question,
To obtain the value of given function, integrating the function,
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]
Integrating by using by-parts.
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]
Then,
[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]
if f'(x) is constant at 3,
Then,
[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]
Substitute from x = 2 to x = 4 then evaluate,
[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]
Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
To know more about Integration click the link given below.
https://brainly.com/question/14716088
A is the midpoint of BC.
BA = 3x+8
AC=23.
solve for x
Since A is the midpoint of BC, we can assume BA and AC are equal to each other.
We also know that BC = BA + AC = 23 + 23 = 46
What is 78,652 divided by 8 long division
what is the domain of the function
Answer:
the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.
Step-by-step explanation:
didn't know if you needed the definition or not :)
Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical length of NO‾.\overline{NO}.NO.
Given:
Point O is on line segment NP.
OP=10, NP=2x, and NO=x+7.
To find:
The numerical length of NO.
Solution:
If point O is on line segment NP, then by segment addition property, we get
[tex]NP=NO+OP[/tex]
[tex]2x=(x+7)+10[/tex]
[tex]2x=x+17[/tex]
Subtract both sides by x.
[tex]2x-x=17[/tex]
[tex]x=17[/tex]
The value of x is 17.
Now,
[tex]NO=x+7[/tex]
[tex]NO=17+7[/tex]
[tex]NO=24[/tex]
Therefore, the numerical length of NO is 24units.
Plz help
Will mark brainliest
Answer:
4567
Step-by-step explanation:
add 2
add 88
sub 99
MATH please answer
please answer
Answer:
you can fit 1000 hairs in 10 cm
Step-by-step explanation:
[tex]10^2= .01[/tex]
[tex].01*1000 = 10[/tex]
The formula d = rt gives the distance, d, traveled in time, t, at rate, r. A motorcycle traveled 67.2 mi in 1.2 h. What was its average speed (rate)? 30 mph 56 mph 66 mph 80 mph
Answer:
56mph
Step-by-step explanation:
If d=rt,
then s=d/t,
so if d=67.2 and t=1.2,
then 67.2/1.2=56
Multiply (−7)(2)(−2).
Answer:
28
Step-by-step explanation:
-7 × 2 = -14Plug -14: -14 × -2-14 × -2 = 28I hope this helps!
Answer:
28!
Step-by-step explanation:
1-2 +4.32 - 6
a.-16
b
-14
2. 5 + 422(3)
C28
3. -5- (32 +2)
d. 29
4 22 3.6
Answer:
-16
Step-by-step explanation:
did the math
Solve for x in simplest form. 7=8/5 (3x+5)
Answer:
7=8/5 (3x+5)
or (7*5)= 24x + 40
or 24x = -5
x = -5/24
Step-by-step explanation:
4. A mistake was made when solving the problem below.
Line 1: 2022+6
Line 2: 204 + 6
Line 3: 80 + 6
Line 4: 86
The mistake was made in Line
Answer:
Wdym
Step-by-step explanation:
wdym
What is 115.376 rounded to the nearest hundredths
Answer:115.38
Step-by-step explanation:
115.378
=115.38
The hundredth digit is seven
A local church has a rectangular fellowship room that it will expand by increasing the
length by 20 feet to form a larger rectangle. If the current dimensions of the room
are unknown, write an algebraic expression for the perimeter of the new room.
Answer:
perimeter of new room = 2[(l+20)*b]
Step-by-step explanation:
Please help. The tiger lost 9 games won 7 games and tied 2 games what percent of the games did they win.
Answer:
about 39%
Step-by-step explanation:
In order to find the percent, you need to find the total amount of games they played first.
9 games + 7 games + 2 games = 18 games total
Divide the number of games they won by the total amount of games they played:
7 games / 18 games = about 39%
what is the domain of f(x)=9-x²
A(.fx)≥9
B.All real numbers
C.-3≤x≤3
D. x≤9
Answer:
B. all real numbers
Step-by-step explanation:
hope that helps
Answer:
B hope this helps :)
Step-by-step explanation:
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
10
her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8 hours
2
last week, how much money did she donate to the charity?
Answer:
$9.86
Step-by-step explanation:
First, write both numbers in the same form. Convert 8
1
2
to a decimal.
8
1
2
= 8+
1
2
= 8+
1×5
2×5
= 8+
5
10
= 8+0.5
= 8.5
Multiply.
11.6
× 8.5
580
+ 9280
98.60
Kendra earned $98.60 last week.
Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates
1
10
of her earnings each week.
First, write both numbers in the same form. Convert
1
10
to a decimal.
1
10
=0.1
Multiply.
98.6
× 0.1
9.86
Kendra donated $9.86 to the charity last week.
Please answer the question and give an explanation. Will give brainliest.
Step-by-step explanation:
By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.
This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.
So z = 3.2 (1 d.p.)
Step-by-step explanation:
x=4.2
y=2.7
z=x
(×+y=×
(4.2+2.7=×)
×=6.9
Which expressions have a sum of 12?
Answer:
First one.
Step-by-step explanation:
4+(-8) -10+22 =12
24+(-12) 0+ (-12) =-24
Please brainliest! Im on my way to another rank!
The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The expressions are shown in the picture.
After solving using Arithmetic operation:
Take the expression:
= 24 - 12
= 12
-10 + 22
= 12
Thus, options (b) and (c) are correct.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
#SPJ2
!!!!!!!!Pls hurry I need help to solve this !!!!!!!
(3m^2 – 5m + 2)^2
Answer: 9m^4- 30m^3 +37m^2 - 20m + 4
Step-by-step explanation:
(3m^2 -5m +2)^2 is the same as (3m^2 -5m +2)(3m^2 -5m +2)
Now apply the distributive property 3 times to solve.
3m^2(3m^2 -5m + 2) = 9m^4 - 15m^2 + 6m^2
-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m
2(3m^2 -5m +2) = 6m^2 - 10m + 4
Now add the solutions
(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =
9m^4- 30m^3 +37m^2 - 20m + 4
A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer: Rate of water flow is 12/5 gallon per minute
Step-by-step explanation:
Given the following :
Volume of faucet pot = 2 gallon
Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.
Rate of water flow:
Volume of faucet pot / time taken
= 2 gallon ÷ (5/6) minute
= 2 gallon × (6/5) minutes
= (12 /5) gallon / minute
= 2 2/5 gallon / minute
Hence rate of water flow is 12/5 gallon per minute.
Answer:
2 2/5
Step-by-step explanation:
2 2/5
what number is 100 times greater than 20?
Answer:
2000
Step-by-step explanation:
just muliply
Lindsey started a savings account with $260. After 4 weeks, she has $315 dollars. After
8 weeks, she had $370. What is the rate of change of money in her savings account per
week?
Answer:
$13.75
Step-by-step explanation:
0 weeks = 260
4 weeks = 315
8 weeks = 370
Every 4 weeks, the rate of change is $55 as can be seen by 315 - 260 = 55 and 370 - 315 = 55.
Per week, the rate of change is $13.75 This is because $55 ÷ 4 weeks = rate of change per week
55 ÷ 4 = 13.75
To which place value is the number rounded?
8.293 to 8.29
a
ones
b
tenths
c
hundredths
d
thousandths
Answer:
c
Step-by-step explanation: 3 is not bigger than 9 so it can't bump it up so it stays like that.
55,555 times x = 965,777 teacher gave this weird question and i do not under stand help me please. also which pic is prettier be honest
Answer:
[tex]\frac{965777}{55555}[/tex]
Step-by-step explanation:
The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)
If someone can help me figure out #6. Thanks
Answer: [tex](1,-\frac{3}{2})[/tex]
Step-by-step explanation:
To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].
The points are (-2,-1) and (4,-2).
[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex] [add]
[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex] [divide]
[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]
Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].
If a line has a slope 2/3 a line that is perpendicular has a slope of what
Answer:
-1.5
Step-by-step explanation:
The product of slopes of two perpendicular lines = -1
If line one has a slope of 2/3;
Let line two, perpendicular to line one, has a slope of a
2/3 × a = -1
a = -1 ÷ 2/3 = -3/2 = -1.5
find the value of [tex]\sqrt[3]{8}[/tex]
Answer:
∛8 = 2
Step-by-step explanation:
[tex]\sqrt[3]{8}[/tex]
=2
2*2*2 = 8
6x + 2y = 12
How do I show my work ?
Hey there!
ANSWER: [tex]\frac{-1}{3}y+2[/tex]EXPLANATION:[tex]6x+2y=12[/tex]
Let's start by adding -2y to both sides.
[tex]6x+2y+-2y=12+-2y\\\text {This equals: 6x=-2y+12}[/tex]
Our second and final step is to divide both sides by 6.
[tex]\frac{6x}{6}=\frac{-2y+12}{6} \\x=\frac{-1}{3}y+2(ANSWER)[/tex]
If you are looking to solve y, the answer is 6 - 3x.
If you are looking for x, the answer is x = 2 - y/3
Hope this helps and have a great weekend!
[tex]\text{-TestedHyperr}[/tex]
A is between B and C. BA = 11, BC = 20 find AC
Answer:
31
Step-by-step explanation:
Since be is in the middle its connecting the two.
So you will add the 11 and 20 to get 31