Step-by-step explanation:
We don't know if AB is a hypotenuse or leg.
If AB is hypotenuse:
[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]If AB is leg:
[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]For base/Perpendicular
AB²=8²-7²AB²=64-49AB²=15AB=√15For Hypotenuse
AB²=8²+7²=64+49AB²=113AB=√113Simple true or false...
d/dx{x^3e^x]=x^3e^x(3x+2)
True or false
Answer:
False.
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{d}{dx}[x^3e^x][/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = \frac{d}{dx}[x^3]e^x + x^3 \frac{d}{dx}[e^x][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3 \frac{d}{dx}[e^x][/tex]Exponential Differentiation: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3e^x[/tex]Factor: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex]∴ [tex]\displaystyle \frac{d}{dx}[x^3e^x] \neq x^3e^x(3x + 2)[/tex] but [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Using the picture below, which angle is alternate exterior to angle 2?
Answer:
alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal
In the equation "y=mx+b" to find the answer do you have to multiply m and x then add b?
Answer: no.
Explanation:
As an example, let's use y=2/3x-8.
In this formula, the 2/3 before the x I the slope of the problem. The -8 would be the y-intercept. You use this formula to find both of those to graph a line, you do not multiply the slope and the x together.
what is the answer to 'Which problem would be solved using multiplication, and what is the solution to the problem?'
Answer:
Jim is 12 years old. Anna is 3 times older than Jim. Calculate Anna’s age using multiplication.
Step-by-step explanation:
The problem above is solved by using multiplication and the solution to the problem is 36.
you multiply 12 * 3 and you get 36.
hope that helps!
PLEASEEEEE HELPPPP ASAPPP
Answer:
40.5°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this triangle, that means ...
tan(x°) = 4.7/5.5
The angle is found using the inverse function:
x° = arctan(4.7/5.5) ≈ 40.5°
the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.
Using the histogram, the mean of the data-set is estimated to be of 31.
The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.In this problem, the intervals and relative frequencies are:
The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].Hence, the mean is:
[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]
For more on mean of histograms, you can check https://brainly.com/question/24651197
What is the range of the relation?
Question 9 options:
{–4, –2,–1, 2}
{–4, 4}
{–3, –2, 0, 2}
{–4, –2, –1, 0, –2}
Answer:
{- 3, - 2, 0, 2 }
Step-by-step explanation:
The range is the y- coordinates of the points
(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )
The y- coordinates are - 3, - 2, 0, 2
Then the range is { - 3, - 2, 0, 2 }
ann works in a supermarket for $10.00 per hour. she received a raise to $12.00 . What is the percent of change in her hourly wage?
Answer
20%
Step-by-step explanation:
10.00 is the start wage, 12.00 is the new wage
going from 10 to 12 dollars is a 2 dollar increase
2 dollars is 20% of her original salary, so she is now making 120% of what she previosuly made which is a 20% increase
Please help
Me solve this ASAP
Answer:
i dont know it looks complicated
Step-by-step explanation:
copy paste then search it, you might find it.
Which 2 values are greater than 3/5?
1/4
0.68
2/3
0.599
1/2
The answer is 0.68 and 2/3
Hoped that helped
Find the LCM of 14 and 18 using prime factorizations.
Answer:
126
Step-by-step explanation:
14 = 2 * 7
18 = 2 * 3 * 3
Take any factors they both have and use that number only once (2)
Then multiply together: 2 * 7 * 3 * 3 = 126
Find the sum.
(7y+7)+(3m−3)+(8x+8)
Thanks!
if any doubt leave a comment
A barrel contained 100 gallons of water. Water leaked out of the barrel at a rate of 4 gallons every
5 days. At this rate, how many days did it take for all 100 gallons of water to leak out of the
barrel?
H 20 days
E 125 days
F 25 days
L 80 days
Answer: It will take 125 day
Step-by-step explanation: 100 divide by 4 = 25 and 25 x 5 = 125
The side lengths of a triangle are 12, 14, and x units
Answer: x=14
Step-by-step explanation: have a good day
The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?
I need help on this last question
Answer:
They are both correct but they rounded to different places. Scrooge rounded to the nearest whole number while Bon rounded to the nearest tenth.
Step-by-step explanation:
Scrooge rounded up to the next whole number which was three because the tenth place value was 5 or greater.
While Bob on the other hand rounded to the nearest tenth. Which resulted in the number going down because the number in the hundredth place value was less than 5.
Write the following statements in the form of equations.
c. One third of a number plus 7 is 26.
Answer:
Brainless please?
Step-by-step explanation:
1/3x +7=26
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
A.4/5
B.1/2
C.2/5
D.1/4
Answer:
A.) 4/5
Step-by-step explanation:
Another fraction that's not on there that is correct is 8/10
Plz Help!! 15 POINTS!
MY MATH EXAM IS TOMORROW AND I NEED HELP!
Jules has a watch pedometer which counts how many steps (S) he walks in a day. He has measured his step length as 0.7m.
Draw a conversion graph of the distance walked (L) against S to convert up to 10000 steps into metres.
Answer:
see attached
Step-by-step explanation:
Each step is 0.7 m, so 10,000 steps will be 0.7(10,000 m) = 7,000 m. Of course 0 steps is 0 meters, so the graph is a straight line with a slope of 0.7.
Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB
Answer:
∠ DAB = 48°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ CAD + 60° + 90° = 180° , that is
∠ CAD + 150° = 180° ( subtract 150° from both sides )
∠ CAD = 30°
Then
∠ DAB + ∠ CAD = ∠ CAB
∠ DAB + 30° = 78° ( subtract 30° from both sides )
∠ DAB = 48°
Could someone please solve this compound inequality?
[tex]\large\mathcal\red{Answer✓}[/tex]
Ans :- E...
I'm gonna go with answer choice B
2. (03.03)
How does the graph of f(x) = (x + 6)4 + 2 compare to the parent function g(x) = x4? (10 points)
Answer:
The parent graph is translated 2 to the left and up 6 units.
Step-by-step explanation:
The +2 moves the parent 2 units to the left and the + 6 moves it up 6 units.
The Kennedy High School band has 117 members. The band
director is planning rectangular formations for the band.
What formations could he make with all the band members?
Answer:
1×117, 3×39, 9×13, 13×9, 39×3, 117×1
Step-by-step explanation:
The prime factorization of 117 is ...
117 = 3²·13
Divisors of 117 are 1, 3, 9, 13, 39, 117. Possible formations would be ...
1×117, 3×39, 9×13, 13×9, 39×3, 117×1
ANSWER FAST PLZ I REALLY NEED HELP :(
Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day?
Answer:
4 mph
Step-by-step explanation:
The current subtracts from the boat speed going upstream, and add going downstream. The relation between speed, distance, and time is ...
time = distance/speed
2 1/4 = 12/(12 -c) + 12/(12 +c) . . . . . round trip time is the sum of the trip times
9/4(12 +c)(12 -c) = 12(12 +c) +12(12 -c) . . . . multiply by (12 +c)(12 -c)
144 -c^2 = 128 . . . . . . multiply by 4/9 and simplify
16 = c^2 . . . . . . . . . add c^2 -128
c = 4 . . . . . . . . . positive square root
The current was 4 mph that day.
Roman has 2 red pencils in his backpack if this is 25% of the total number pencils how many pencils are in his backpack
Answer:
8 pencils
Step-by-step explanation:
if 2 red pencils are 25% of his number of pencils then multiply 2 by 4
because 25x4=100
so 2x4=8
Roman has 8 pencils in his bag
question 4 algebra maths
Answer:
30
Step-by-step explanation:
4(3)^2 +(3*-2)
4*9-6=36-6=30
Answer:
30
Step-by-step explanation:
Substitute x = 3 and y = - 2 into the expression
4x² + xy
= 4(3)² + 3(- 2)
= 4(9) - 6
= 36 - 6
= 30
simplify the following 2 √5 *5 √5
Answer: 50!!!
Step-by-step explanation:
Which equation represents a line which is parallel to the line y = -7/2x-3
You do not have the options listed, but I will tell you what the line needs:
[] A parallel line will need the same slope.
- The slope is our m in y = mx + b
[] What will this be for our problem:
- [tex]y=\frac{-7}{2}x-3[/tex]
- Our slope is [tex]\frac{-7}{2}[/tex]
[] So what will the line look like:
- [tex]y=\frac{-7}{2}x +?[/tex]
- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of [tex]\frac{-7}{2}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Write... the number 7 as a fraction with the denominator 3.
Answer:
[tex]\huge\boxed{7=\dfrac{21}{3}}[/tex]
Step-by-step explanation:
[tex]7=\dfrac{7}{1}=\dfrac{7\cdot3}{1\cdot3}=\dfrac{21}{3}[/tex]
Answer:2[tex]\frac{0.3}{3}[/tex]
Step-by-step explanation:
Solve the following system of equations.
3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28
Solution(s):
Answer:
[see below]
Step-by-step explanation:
I graphed the system of equations.
When graphed, the two equations intercept 4 times.
(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.
Hope this helps.