Simplify
Complete the chart.
Original
Function
Rewrite
Differentiate
(Power Rule)
2
3) y =
6
3x
4) y = Vx7
Answers
Answer:
Step-by-step explanation:
Original Function Rewrite Differentiate Simplify
3). y = [tex]\frac{2}{3x^6}[/tex] y = [tex]\frac{2}{3}x^{-6}[/tex] y' = [tex]\frac{2}{3}(-6)x^{(-6-1)}[/tex] y' = [tex]-\frac{4}{x^{7}}[/tex]
4). y = [tex]\sqrt[4]{x^7}[/tex] y = [tex]x^{\frac{7}{4}}[/tex] y' = [tex]\frac{7}{4}x^{(\frac{7}{4}-1)}[/tex] y' = [tex]\frac{7}{4}x^{\frac{3}{4}}[/tex]
Related Questions
You mix 1/3 teaspoon of baking soda with 3 teaspoons of salt. What is the value of the ratio of baking soda to salt?
Answers
please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!
Answers
Answer:
60
Step-by-step explanation:
Could you guys help me again?
Answers
Answer:
1. n power of 25
2.x power of 5
Need a little help here pls
Answers
Answer:
The statements that must be true are:
XY and JK form four right angles ⇒ B
XY ⊥ JK ⇒ C
JP = KP ⇒ E
m∠JPX = 90° ⇒ F
Step-by-step explanation:
From the given figure
∵ Line XY is the perpendicular bisector of the line segment JK
→ That means line XY is the line of symmetry of the line segment JK
∴ XY ⊥ JK ⇒ C
∵ XY ∩ JK at point P
∴ P is the midpoint of JK
∵ XY ⊥ JK
∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles
∴ XY and JK form four right angles ⇒ B
∵ The measure of the right angle is 90°
∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°
∴ m∠JPX = 90° ⇒ F
∵ P is the midpoint of JK
∴ JP = KP ⇒ E
Two tour groups are visiting an aquarium. There are 20 children in one group and 22 children in the other. Along with the 2 group leaders, there are 5 additional adults between the two groups. If the cost per child is $9.00 and the total for both groups is $490, what is the cost per adult?
Answers
Answer:
The cost per adult is $16.
Step-by-step explanation:
Given that:
Total number of children = 20+22 = 42 children
Total number of adults = 2 + 5 = 7 adults
Total cost for both groups = $490
Cost per child = $9.00
Cost of children ticket = 9.00*42 = $378
Cost of adult tickets = 490-378 = $112
This is the cost for 7 adult tickets.
Cost per ticket = [tex]\frac{112}{7}[/tex] = $16
Hence,
The cost per adult is $16.
f(x) = 1/3x -2; reflection in the x-axis
Answers
If an author can type 2500 words in 5 minutes, how many words can he type in 210 minutes?
Answers
Answer:
105,000
Step-by-step explanation:
2500/5 gives you 500 x 210 =105,000
Elsa usually bakes 350 dozen muffins a month. At this rate, how many dozen will she bake in a year ?
Answers
Answer:
4200 dozen
Step-by-step explanation:
One smaller cube labeled with fish food with dimensions of one-quarters feet on each side. Larger cube labeled shipping box with dimensions of length 3 and three-fourths feet; width of 3 feet; height of 3 and one-quarters feet. Part 1: Understanding Volume
Answers
Answer:
Given: Length of smaller cube= 1/4 feet each side
Length of larger cube= 3.75 feet
Width of larger cube= 3 feet
Height of larger cube= 3.25 feet
Step-by-step explanation:
Volume of a cube= length * width * height
Volume of a larger cube= 3.75 * 3 * 3.25 cubic foot
Volume=36.5625 cubic foot
Volume of smaller cube= length * length * length (as length is same on each side)
Volume of smaller cube= 1/4 * 1/4 * 1/4
Volume of smaller cube= 1/64 cubic foot
Hence, volume is calculated.
What is the distance from the top of the iceberg, 6.5 meters above sea level, to the bottom of the iceberg, 52.85 meters below sea level?
Answers
Answer:
I dont know
Step-by-step explanation:
how many sides does a regular polygon have each interior angle of which is measure 120
Answers
Answer:
12
Step-by-step explanation:
step by step explanation
which of the following is equivalent to (Cd) to the fifth power
Answers
Answer:
The 3rd option is correct.
Step-by-step explanation:
This is because of an exponent rule that goes:
(xy)^z = x^z(y^z)
The whole thing gets raised to the power. Therefore only the 3rd one works (ps. if you can mark as brainliest that would be amazing, but if not that's fine)
solve for x, tan 12 = 22 over x
Answers
Answer:
tan 12=22/x
x=22/tan 12
x=103.77.................
2x²+30y-3y²+4xy-14-x
Option 1,2,3 or 4?
Answers
Work out the percentage change when a price of £10 is increased to £14.
Answers
Answer:
40%
Step-by-step explanation:
14-10 = 4, which is a 4 euro increase.
4/10 = 40%
Or we can see that 14/10 = 1.4, or 140%, which is a 40% increase
I rly need help! I will mark brainliest if you are correct
Answers
Hope that helps
Please help with this math problem I’ll mark you brainiest
Answers
SRT= 58
I think, I’m not sure !
Jared started a new job. On the first day he had orientation and worked for 2 hours. On the second day he trained for 4 hours. After that, Jared worked 8 hours each day. If his first paycheck shows that he is being paid for 94 hours of work, how many days did he work a full 8-hour day?
Answers
Answer:
Jared worked 11 days as full 8-hour days.
Step-by-step explanation:
We have:
First day = 2 h
Second day = 4 h
After that = 8 h each day
Since his paycheck shows 94 hours of work, we can find the number of days that he works 8-hour day:
[tex] 94 h = 2 h + 4 h + 8 h*x [/tex]
Where x is the number of days that he works 8-hours.
[tex] 8 h*x = 88 h [/tex]
[tex] x = \frac{88 h}{8 h} = 11 [/tex]
Therefore, Jared worked 11 days as full 8-hour days.
I hope it helps you!
help please? Find the values of a,b,c,d,e and f
Answers
9514 1404 393
Answer:
a = 30b = 15c = 3d = 30e = 10f = 20Step-by-step explanation:
The acute angles are all 60°, and the obtuse angles are all the supplement of that, 120°.
Working from the left, we have ...
a +30 = 60 ⇒ a = 30
30 +2b = 60 ⇒ b = 15
5b -5c = 60 ⇒ 15 -c = 12 ⇒ c = 3
10c +d = 60 ⇒ d = 30
2d +6e = 120 ⇒ 60 +6e = 120 ⇒ e = 10
4f +4e = 120 ⇒ f +10 = 30 ⇒ f = 20
I NEED HELP ASAP IT'S DUE IN 40 MINUTES!!! I'LL GIVE BRAINLIEST!!!
Answers
Answer:
Transversal
Step-by-step explanation:
Pleas help me I really need it
Answers
If you are to simplify the expression, you’d be getting the answer of:
8x-2
before distributing the negative:
(7x2 + 3x) - (8x2 - 5x)
after distributing the negative:
7x2 + 3x - 8x2 + 5x
now add like terms:
7x2 + 3x - 8x2 + 5x
-x2 + 8x
or
8x - x2
-- let me know if you have any questions regarding this.
If Mr.John has a new house he want to put mats on the flour the length of the mat is 95cm and the width is 74cm that is the perimeter of the mat Mr.John has?
Answers
Answer:
338cm
Step-by-step explanation:
P= 2( L+W)
P=2(95+74)
P=2(169)
P=338cm
2x-4=x+6 how solve this
Answers
Answer:
x = 10
Step-by-step explanation:
1. Add 4 to both sides of the equation
2. Simplify
3. Subtract x from both sided of the equation
4. Simplify
Therefore, x = 10
Hope this helps :)
Answer:
=10
Add 4
to both sides of the equation 2−4=+6
2x-4=x+6 2−4+4=+6+4
10) 5x + 12 = 4x + 6 = 6
11) −8x − 14 = 7(−2 − 4x) + 4x
12) 16 − 2n = −8 + 4(n − 3)
13) −6(3 − 6r) = −18 + 4r
14) 4(3b − 1) = 9 − b
15) −6x + 7(1 − x) = −4(x − 4)
16) 5 − (8v + 5) = −4(1 + 3v)
17) −8(4 + 4n) = 8(n + 6)
18) 3(a − 6) = −5a − (7 + 3a)
Answers
Answer:
10. -6
11. x=0
12. n=6
13. r=0
14. x=-1
15.x=-1
16.v=-1
17.n-2
18.a=1
Step-by-step explanation:
Sultan needs enough tents for 28 people to sleep in. Each tent can fit 6 people. How many tents does he need?
Answers
Answer:
5 tents
Step-by-step explanation:
1 tent = 6 people
x tent = 28 people
Cross product
1 * 28 = 6 * x
28 = 6x
x = 28/6
= 4.67
Approximately x = 5 tents to an whole number
Therefore, he needs 5 tents for 28 people to sleep in
The graphs of the equations 4x - y = 6 and x + y = 4 intersect at
the point whose coordinates are
Answers
Answer:
The graphs of the equations 4x - y = 6 and x + y = 4 intersect at the point whose coordinates are (2,2)
Step-by-step explanation:
The graphs of the equations 4x - y = 6 and x + y = 4 intersect at the point whose coordinates are?
We need to find the values of x and y by solving the system of equations.
The values of x and y are the point of intersection of those lines.
We have:
[tex]4x - y = 6--eq(1) \\x + y = 4--eq(2)[/tex]
Adding both equations and finding value of x
[tex]4x - y = 6\\ x + y = 4\\-----\\5x+0y=10\\5x=10\\x=\frac{10}{5}\\x=2[/tex]
We get, the value of x: x=2
Now, putting value of x in equation 2 to find value of y:
[tex]x+y=4\\Put\:x=2\\2+y=4\\y=4-2\\y=2[/tex]
So, we get y=2
Therefore we get x=2 and y=2
The solution set is: (2,2)
So, The graphs of the equations 4x - y = 6 and x + y = 4 intersect at the point whose coordinates are (2,2)
HELP PLEASE 50 PT
A chocolate chip cookie recipe calls for 212 cups of sugar. A snicker doodle cookie recipe calls for 314 cups of sugar. How much more sugar, in cups, is in the snicker doodle recipe?**
Answers
Answer:
102 cups
Step-by-step explanation:
314-212=102
102 cups of sugar.
Hope this helps
Does anyone know how to do geometry? Please help
Answers
Answer:
No
Step-by-step explanation:
>>>>
Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why
Answers
What is the measure, in degrees, of the angle marked B?
133
65
68
47
Answers
All triangles are 180 degrees. Add the 2 numbers given to get a number. Take 180 and subtract it from that number to get 47
Answer:
[tex]\boxed {\boxed {\sf 133 \ degrees }}[/tex]
Step-by-step explanation:
According to the Exterior Angle Theorem, the exterior angle of a triangle is equal to the sum of the 2 remote and opposite interior angle.
[tex]d=a+b[/tex]
In this triangle, angle B is the exterior angle (d). The two interior angles are 68 degrees and 65 degrees ( a and b).
[tex]\angle B=68 \textdegree +65 \textdegree[/tex]
Add.
[tex]\angle B= 133 \textdegree[/tex]
This can also be solved using triangles and supplementary angles.
The angles in a triangle must add to 180 degrees. We have three angles: 68, 65, and an unlabeled angle we can call x.
[tex]68+65+x=180 \\133+x=180[/tex]
Subtract x from both sides.
[tex]133+x=180-133 \\x=47[/tex]
x is on a straight line with B, so they are supplementary and add to 180 degrees.
[tex]47+ \angle B= 180[/tex]
Subtract 47 from both sides.
[tex]47-47+ \angle B= 180-47\\\angle B= 133[/tex]
Angle B is equal to 133 degrees.