The answer is 3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.
16 can be written as:
O
A. 22
B. 44
c. 24
D. 82
E. 28
Answer:
2^4
Step-by-step explanation:
2^2 = 2 * 2 = 4
4^4 = 4*4*4*4 = 256
2^4 = 4*4 = 16
8^2 = 8*8 = 64
2^8 = 2*2*2*2*2*2*2*2 = 256
Hence, 16 can be written as 2^4
Thus, Answer is [C] 2^4
[RevyBreeze]
(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :
Answer:
1,000
2,000
3,000
4,000
Step-by-step explanation:
just took the test got it right
Answer: I got the sample answer correct
Step-by-step explanation:
the edmentum answer
find the total surface area for this cuboid
Answer:
24cm
Step-by-step explanation:
surface= Ixb
= 6x4
= 24cm
Answer:
148cm(squared)
Step-by-step explanation:
5 x 6 = 30
5 x 4 = 20
6 x 4 = 24
30 + 24 + 20 = 74cm
74cm x 2 = 148cm(s)
A light bulb is designed by revolving the graph of:
[tex]y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}[/tex]
Over the interval 0 ≤ x ≤ 1/3 about the x-axis, where x and y are measured in feet. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (Glass is 0.015 inch thick).
Answer:
[tex]\displaystyle 0.251327 \ in. \ of \ glass[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)FactoringCalculus
Differentiation
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
Integration Property: [tex]\displaystyle \int\limits^a_b {cf(x)} \, dx = c \int\limits^a_b {f(x)} \, dx[/tex]Fundamental Theorem of Calculus: [tex]\displaystyle \int\limits^a_b {f(x)} \, dx = F(b) - F(a)[/tex]Area between Two CurvesVolumes of RevolutionArc Length Formula: [tex]\displaystyle AL = \int\limits^a_b {\sqrt{1+ [f'(x)]^2}} \, dx[/tex]Surface Area Formula: [tex]\displaystyle SA = 2\pi \int\limits^a_b {f(x) \sqrt{1+ [f'(x)]^2}} \, dx[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}\\Interval: [0, \frac{1}{3}][/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2} \cdot \frac{1}{3}x^{\frac{1}{2} - 1} - \frac{3}{2} \cdot x^{\frac{3}{2} - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{1}{6}x^{\frac{-1}{2}} - \frac{3}{2}x^{\frac{1}{2}}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}[/tex]Step 3: Integrate Pt. 1
Substitute [Surface Area]: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{1+ [\frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}]^2}} \, dx[/tex][Integral - √Radical] Expand/Add: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{81x^2+18x+1}{36x}} \, dx[/tex][Integral - √Radical] Factor: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{(9x + 1)^2}{36x}} \, dx[/tex][Integral - Simplify]: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {-\frac{|9x + 1|(3x - 1)}{18}} \, dx[/tex][Integral] Integration Property: [tex]\displaystyle SA = \frac{- \pi}{9} \int\limits^{\frac{1}{3}}_0 {|9x + 1|(3x - 1)} \, dx[/tex]Step 4: Integrate Pt. 2
[Integral] Define: [tex]\displaystyle \int {|9x + 1|(3x - 1)} \, dx[/tex][Integral] Assumption of Positive/Correction Factors: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {(9x + 1)(3x - 1)} \, dx[/tex][Integral] Expand - FOIL: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {27x^2 - 6x - 1} \, dx[/tex][Integral] Integrate - Basic Power Rule: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} (9x^3 - 3x^2 - x)[/tex][Expression] Multiply: [tex]\displaystyle \frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|}[/tex]Step 5: Integrate Pt. 3
[Integral] Substitute/Integral - FTC: [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|})|\limits_{0}^{\frac{1}{3}}[/tex][Integrate] Evaluate FTC: [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{-1}{3})[/tex][Expression] Multiply: [tex]\displaystyle SA = \frac{\pi}{27} \ ft^2[/tex]It is in ft² because it is given that our axis are in ft.
Step 6: Find Amount of Glass
Convert ft² to in² and multiply by 0.015 in (given) to find amount of glass.
Convert ft² to in²: [tex]\displaystyle \frac{\pi}{27} \ ft^2 \ \div 144 \ in^2/ft^2 = \frac{16 \pi}{3} \ in^2[/tex]Multiply: [tex]\displaystyle \frac{16 \pi}{3} \ in^2 \cdot 0.015 \ in = 0.251327 \ in. \ of \ glass[/tex]And we have our final answer! Hope this helped on your Calc BC journey!
Please help me. I really don't know dis
Answer:
I would do C because 2/3 is close to a whole so then you would get -3 and 1/4 is close to 0 so just keep 18 the same which would be -18 so -18 divided by -3 would be correct
Step-by-step explanation:
1. What is 8 turbo jets raised to the power of 4?*
Answer:
4096
Step-by-step explanation:
Hey there!!!!
8 raised to the power of 4 = [tex]8^{4}[/tex]
[tex]8^{4}[/tex] = 8*8*8*8
if we multiply:
8*8=16
16*8= 128
128*8 = 4096
hope this helps :)
I need help plz
.........
.......
.......
Answer:
v=-60
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
3v/4 + 3 =7v/10
3v/4 + 3-3 =7v/10-3
3v/4= 7v/10 - 3
divideee (lol I don't wanna do the work)
v= --60
Hope this helps!
Come on help me pretty plz
Answer:
im pretty sure its pink
Step-by-step explanation:
Julie earned $402.17 in net pay for working 40 hours. She paid $93.26 in federal and state taxes, and $41.86 in FICA taxes. What is Julie's hourly wage?
Answer:
6.67625
Step-by-step explanation:
402-93-41=267/6.67625
A farmhouse shelters 14 animals. Some are
pigs, and some are chickens. Altogether there
are 44 legs between the animals. Let p
represent the number of pigs and c represent
the number of chickens.
9514 1404 393
Answer:
8 pigs6 chickensStep-by-step explanation:
Maybe you want to know the number of each kind of animal.
__
We can write two equations in the two unknowns.
p + c = 14 . . . . . . number of animals
4p +2c = 44 . . . number of legs
Dividing the second equation by 2, it becomes ...
2p +c = 22
Then subtracting the first equation gives ...
(2p +c) -(p +c) = (22) -(14)
p = 8
8 +c = 14
c = 6
The farmhouse shelters 8 pigs and 6 chickens.
find the equation of the line that is parallel y= 2x+10 and passes through the point (6,-4)
Answer:
The equation of the parallel line to the given line
y = 2 x - 16
Step-by-step explanation:
Step(i):-
Given equation of the straight line y = 2 x +10
2x - y + 10 =0
The equation of the parallel line to the given line is
a x + by + k=0
The equation of the parallel line to the given line is
2x - y + k=0
Step(ii):-
Given point ( 6,-4)
The equation of the parallel line to the given line is
2x - y + k=0
This line passing through the point ( 6,-4)
2(6) - (-4)+ k=0
12 + 4 +k =0
16 + k=0
k = -16
Final answer:-
The equation of the parallel line to the given line
y = 2 x - 16
what is the inequality of 2.2m < 11
Answer:
m<5
Step-by-step explanation:
Answer:
m < 5
Step-by-step explanation:
Solve for x.
6
х
12
15
X=
units
Answer:
x = 4
Step-by-step explanation:
If a line is parallel to a side of the triangle and intersects the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{2}{4}[/tex] = [tex]\frac{x-1}{6}[/tex] ( cross- multiply )
4(x - 1) = 12 ( divide both sides by 4 )
x - 1 = 3 ( add 1 to both sides )
x = 4
n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4
Please i need the answer ASAP
here u go
In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points T and U lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.PLS MARK ME AS BRAINLIST!!!!!
Which fraction is equivalent 5/20?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
5/20
divide both sides of the fraction by 5
5/5 = 1
20/5 = 4
1/4
are there any maths genius here can help?
Answer:
1 》let equal side be X and other side y
now, length of y= 2x sin teta/2
=12.3×sin42/2
=12.3 × sin21
=4.407
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
Answer:
120 is too steep, so it is either 150 or 160. According to an online protractor, it appears to be 150 degrees.
Step-by-step explanation:
Which of the following equations is equivalent to 2/3a - 7 = 1/3
Answer:
a = 11
Step-by-step explanation:
Given the equation 2/3a - 7 = 1/3
We are to find the value of a that satisfies the equation
2/3 a = 1/3 + 7
2/3 a = (1+21)/3
2/3 a = 22/3
2a = 22
a = 22/2
a = 11
Hence the value of a that satisfies the equation is 11
Solve for c.
-5/8c = 20
A. c = -34
B. c = -32
C. c = 26
D. c = 28
Answer:
b
Step-by-step explanation:
solve for c by simplifying both sides of the equation then isolate the variable
Help please!
And thank u
Answer:
[tex] \frac{a}{7} + \frac{a}{3} = 10 \\ \frac{(3a + 7a)}{21} = 10 \\ \frac{10a}{21} = 10 \\ a = \frac{(10 \times 21)}{10} \\ \boxed{a = 21}[/tex]
a=21 is the right answer.Juanita is riding her bicycle on a trail at the rate of 0.3 kilometers per
minute. Michelle is 11.2 kilometers behind Juanita when she starts traveling
on the same trail at a rate of 0.44 kilometers per minute. Let d represent
the distance in kilometers the bicyclists are from the start of the trail and t
represent the time in minutes. The situation can be represented by the
following system; d=0.3t+11.2 and d=0.44t. How many minutes will it take
Michelle to catch up to Juanita? How far will they be from the start of the
trail? Use the substitution method to determine your answer.
Answer:
It will take Michelle 80 minutes.
They're 35.20 kilometers away from their starting point.
Step-by-step explanation:
We have to find how many minutes it would take Michelle to catch up to Juanita.
We know that Michelle's movement is represented as: d = 0.44t
Juanita's movement is represented as: d = 0.3t + 11.2
To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.
Solve:
0.44t = 0.3t + 11.2
Subtract 0.3t from both sides.
0.14t = 11.2
Divide both sides by 0.14
t = 11.2/0.14
t = 80
This means that it would take 80 minutes for Michelle to catch up.
To find how far they are, multiply 0.44 by 80.
0.44 · 80 = 35.20
This means that they're 35.20 kilometers away from their starting point.
i need help plssssssssssssss
Answer:
It doesn't show what the drop down is. However, both of those are linear expressions.
Sergio's expressionn siplifies to: 9+3x (because two minuses cancel each other).
Leon's expression cancels to 12+6x (because 9+3=12)
Step-by-step explanation:
You have to show the dropdown to be able to answer exactly what they are looking for as an answer.
help i need help fast
Answer:
Vertical, Horizontal, and Diagonal
Step-by-step explanation:
5 lines of Symmetry.
It has four lines of symmetry and four sides. A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.
Which of the following has zeros that are not significant?
2.05 m/s
10.0 J
1.30 N
100 kg
Answer:
Your answer would be D. 100 kg
Step-by-step explanation:
I took the test and got it correct
Hope this helps
Good luck!
The required zero that has not significant is 100, 10.0, and 1.30.
Given that,
To determine the number that has zeros that are not significant.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
Zeros between non-zero numbers are significant.
So it contains 2.05,
Zeros to the left of the first non-zero digit are not significant.
It contains 100, 10.0. and 1.30
Thus, the required zero that has not significant is 100, 10.0 and 1.30
Learn more about the number system here:
https://brainly.com/question/22046046
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A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the total cost, c.
Answer:
y=20x+217
Step-by-step explanation:
Solve: m = 5 – (-10).
GIVING BRAINLIST to people who is correct!
Answer:
15
Step-by-step explanation:
18 divided by 5 - (6-5)-1) pemdas
Answer:
The answer is 6
Which expression is equivalent to 3 the 5th power?
Answer:
The expression equivalent to 3 to the 5th power is 3^5.
The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:
3x3 = 9
9x3 = 27
27x3 = 81
81x3 = 243
The solution is: The expression equivalent to 3 to the 5th power is 3^5.
Here, we have,
The number 3 raised to the 5th power is represented through the expression 3 ^ 5,
which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),
which results in the number 243,
which is can be corroborated by the following calculations:
3x3 = 9
9x3 = 27
27x3 = 81
81x3 = 243
Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.
To learn more on Expression click:
brainly.com/question/14083225
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34=16+x helpppppp please due in 30 minutes
Answer:
34-16=18
so x = 18
Step-by-step explanation:
Answer:
x = 18
Step-by-step explanation:
Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x
How much is 2000mg in grams?
Answer:
2 grams
Step-by-step explanation: