Answer:
I think it would be 2³√12 ×3³√2
=1058.17956888
Step-by-step explanation:
I hope this helps, please give me brainliest
If f(x) = x2 + 2x + 3, what is the average rate of change of Rx) over the interval (-4, 6]?
Answer:
Step-by-step explanation:
The average rate of change of a function over an interval is simply the slope over the interval because:
[tex]let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}[/tex]
We have to know f(6) and f(-4)
[tex]f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4[/tex]
Please help me out!!!!!
Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.
Answer:
[tex]a_{n}[/tex] = 7n - 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus
[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
graph y=1/2x-3. please answer I need it now
Answer:
see the graph below
Step-by-step explanation:
What is 1.19047619048 as a fraction
Answer: 1.19047619048 as a fraction equals 119047619048/100000000000
Step-by-step explanation: To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1.19047619048 = 1.19047619048/1 = 11.9047619048/10 = 119.047619048/100 = 1190.47619048/1000 = 11904.7619048/10000 = 119047.619048/100000 = 1190476.19048/1000000 = 11904761.9048/10000000 = 119047619.048/100000000 = 1190476190.48/1000000000 = 11904761904.8/10000000000 = 119047619048/100000000000
Answer:
119047619048/100000000000
Step-by-step explanation:
To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. And finally, we have: 1.19047619048 as a fraction equals 119047619048/100000000000
What is an equation of the line that passes through the points (7, 6) and (-2, -3)?
Answer:
y=1x-1
Step-by-step explanation:
m=y2-y1/x2-x1
-3-6=(-9)
-2-7=(-9)
-9/-9=1
6=1*7+b
1*7=7
7-7=0
6-7=-1
b=-1
y=1x-1
hope this helps :3
if it did pls mark brainliest
Which expression is equivalent to – (4-3)?
A. -2(to the power of 2) + 3
B. -2(to the power of 2)– 3
C. -3 - 2(to the power of 2)
D. -3 +2(to the power of 2)
Answer:
answer is really hard and small, but I can't help because I don't know,
sorry not sorry
lol
regards,
Rosemary
ABC is congruent to EDC, BC = 5 units and DE = 12 units. What is the length of AE?
Answer:
AE = 26 units
Step-by-step explanation:
Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.
AE = 2(AC) = 2(CE) or
AE = AC + CE
Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.
BA is congruent to DE.
Since DE = 12 units, therefore, BA = 12 units.
BC = 5 units (given)
Using Pythagorean Theorem:
AC² = BA² + BC²
AC² = 12² + 5² (substitution)
AC² = 144 + 25 = 169
AC = √169
AC = 13 units
Since ∆ABC = ∆EDC, therefore:
AE = 2(AC)
AE = 2(13)
AE = 26 units
The product of 4 and the sum of a number x and 8
Answer:
8(x+3)
Explanation:
"The product of 8 and" means 8 is going to be multiplied times another quantity. "...the sum of a number x and 3" means that 8 is going to be multiplied times (x+3).
This is represented by 8×(x+3), which simplifies to 8(x+3).
Divide (-3x^2 - 9x) ÷ (x + 3)
please explain/show work! <33
Step-by-step explanation:
[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]
This is the original equation so you will open the brackets.
[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]
The x will cross the division sign making it times x.
[tex]3 {x}^{2} - 9x \times x = 3[/tex]
So you will proceed to multiply the 9x by x making it;
[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]
So you will subtract 9x² from 3x² which won't be possible so it will be negative.
[tex] - 6 {x}^{2} = 3 [/tex]
Then you will square root both sides making it;
[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]
So the ² will cancel the √ leaving
-6x=√3
-6x=1.73(Divide both sides by -6)
x=0.288
That's the final answer.
PLEASE WILL GIVE BRAINLIEST!!
Step-by-step explanation:
Hey there!
Here;
A triangle is given with different measurements.
To find: value of p.
5 p = 2p+21° + 45° {The external angle is equal to the sum of opposite adjacent interior angles}
or, 5p - 2p = 21°+45°
3p = 66°
p = 66°/3
Therefore, the value of "p" is 22°.
Hope it helps....
PLEASE HELP LIKE RN, thank you so much
Answer:
Facts.
Step-by-step explanation:
riddle
What runs around the whole yard without moving?
Answer:
a yard stick, maybe I'm right
Answer:
a fence
Step-by-step explanation:
HAHAHA LOL
If x = 3 and y = 5, work out the value of 4x-2y and 2x² + 3y²
Answer:
4 × 3 - 2 × 5 = 12 - 10 = 2
2x² + 3y² = 2 × 9 + 3 × 25 = 18 + 75 = 93
At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?
Answer: 50%
Step-by-step explanation:
Let x = Total dishes.
Dishes from China = [tex]\dfrac38x[/tex]
Dishes from Japan = [tex]12.5\% \text{ of }x= 0.125x[/tex]
Total dishes from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]
Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]
Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]
Hence, dishes from other countries = 50%
Which of the following mixtures will have a stronger coffee flavor? explain please thank you!!
A) Mixture B
B) Mixture A
C) Both the mixtures are equally strong.
The chart shows the distances, in miles, between some towns and cities.
Toby lives in Wrexham and works in Oswestry.
Wrexham
18
Ruthin
a) Use the chart to find the road distance
between Wrexham and Oswestry.
15
21
12
Corwen
15
33
23
Oswestry
Sarah lives in Ruthin and works in Oswestry for
5 days a week. Each day she travels to and
from work using the route shown on the map.
MOLD
ROTHEN
WRESTHAM
b) How many miles, in total, does she travel to
and from work each week? 231 miles
CORNEN
OSWESTRY
Choose CI
Answer:
part a)15
part b)330
Step-by-step explanation:
(a) The road distance between Wrexham and Oswestry is 15 miles.
(b) The number of miles Sarah travels to and from work each week is 330 miles.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
Given a chart of the road distances between various towns and cities.
(a) From the chart,
Distance the corresponds to Wrexham and Oswestry = 15 miles
Road distance between Wrexham and Oswestry is 15 miles.
(b) Distance between Ruthin and Oswestry = 33 miles
Total distance travelled to and from work in a day = 33 × 2 = 66 miles
She works 5 days a week.
Total distance travelled for 5 days = 66 × 5 = 330 miles
Hence the number of miles travelled by Sarah in a week is 330 miles.
Learn more about Arithmetic Operations here :
https://brainly.com/question/30553381
#SPJ2
The chart is given below.
HeLp Me pLz
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?
A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth
Answer:
V = 63.62
Step-by-step explanation:
Answer: 63.62 cubic inches
Step-by-step explanation:
REMEMBER :: VOLUME OF CYLINDER = πr^2h
r= 1.5 in.
h= 9 in.
V= π (1.5)^2 (9)
V= π (2.25) (9)
V= π (20.25)
V~63.6172512...
nearest hundredth = 63.62 cubic inches
Factor Completely
f(x)= x^4 - 2x^3 - 3x^2 + 2x + 2
Due in 3 mins !! 3 questions Triangle ABC, is rotated 90° counter clockwise about the origin to make triangle A'B'C. Drag and drop the coordinates to describe the transformation !! ( picture!)
Answer:
A'=(3,-2) B'=(-1,-4) C'=(-5,-3)
Step-by-step explanation:
90 degrees counterclockwise uses (-y,x) so you just plug in the negative y value in the x spot and the x value in the y spot
Will give brainliest if correct.
Evaluate: 21x: 8 when x = 4*
Answer:
10.5
Step-by-step explanation:
21(4) / 8
84 / 8
10.5
what is 2 over 5 simplafied
Answer:
2/5 simplified is 1/2.5 or .4
Step-by-step explanation:
You simplify by dividing the numerator by the denominator. Thus 2/5 is
.40.
Hope this helps!
The number of miles a car can drive varies directly with the number of gallons of gas in
the car. If the car can go 81 miles on 3 gallons of gas, how many gallons does the car
need to go 378 miles?
Answer:
14 gallons
Step-by-step explanation:
Answer:
14 gallons
Step-by-step explanation:
Can someone help me ill give Brainliest
Help pls help pls help pls help pls help pls
Answer:
Domain: -2 < x ≤ 3
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:
(-2, 3] or -2 < x ≤ 3
Answer:
ramen is the true answer to lifes problems
Step-by-step explanation:
17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.
a Find f(x) + g(x)
b. Find f(x) – g(x)
Step-by-step explanation:
f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)
Combine like terms
5x^2 + 9x -4
f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)
Distribute the negative
(2x^2 + 5x +6) + (-3x^2 -4x + 10)
Combine like terms
-x^2 +x +16
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Answer:
x = 10, x = 124
Step-by-step explanation:
(5)
Since Δ JKL is isosceles then the base angles are congruent, that is
∠ LJK = ∠ LJG = 80° , thus
∠ JLK = 180 - (80 + 80) = 180 - 160 = 20
x = 20 ÷ 2 = 10
(6)
Since Δ PQR is equilateral, then each of its angles = 60°
∠QRS = 60° - 32° = 28°
Since Δ SQR is isosceles then base angles are congruent, then
∠ SQR = ∠ QRS = 28 , thus
x = 180 - (28 + 28) = 180 - 56 = 124
answer :
x = 10, x = 124
3. Solve for a
5(a-2) = 2(10+a)
it’s due by midnight and can you also tell me how you got the answer
Answer:
a=10
Step-by-step explanation:
distribute on both sides to get
5a-10=20+2a
add/subtract like terms
5a-2a=3a
20+10=30
so the equation is
3a=30
divide 30 by 3 and you get 10
Answer:
a = 10
Step-by-step explanation:
[tex]5(a - 2) = 2(10 + a) \\ \\ 5a - 10= 20 + 2a\\ \\ 5a - 2a= 20 + 10\\ \\ 3a = 30\\ \\ a = \frac{30}{3} \\ \\ \huge \red{ \boxed{a = 10}}[/tex]