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Answer:
∛(64/125) = 4/5
Step-by-step explanation:
Maybe you want to express ...
[tex]\displaystyle\left(\frac{125}{64}\right)^{-\frac{1}{3}}=\left(\frac{64}{125}\right)^{\frac{1}{3}}=\boxed{\sqrt[3]{\frac{64}{125}}}[/tex]
__
The denominator of the fractional exponent is the index of the radical. The other applicable rule of exponents here is a^-b = 1/a^b.
Giải phương trình vi phân
a. dy/dx
b. y' + 2xy = 4x
Your first differential equation is incomplete, so I'll just look at the second one.
y' + 2xy = 4x
Multiply both sides by exp(x ²):
exp(x ²) y' + 2x exp(x ²) y = 4x exp(x ²)
The left side is the derivative of a product:
(exp(x ²) y )' = 4x exp(x ²)
Integrate both sides:
exp(x ²) y = ∫ 4x exp(x ²) dx
For the integral, substitute u = x ² and du = 2x dx :
exp(x ²) y = 2 ∫ exp(u) du
Solve for y :
exp(x ²) y = 2 exp(u) + C
exp(x ²) y = 2 exp(x ²) + C
y = 2 + C exp(-x ²)
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. Which distribution should you use for this problem
Answer:
The z-distribution should be used for this problem.
Step-by-step explanation:
The population distribution is assumed to be normal. Which distribution to use?
If we have the standard deviation for the sample, we use the t-distribution.
If we use the standard deviation for the population, we use the z-distribution.
There is a known standard deviation of 2.2 minutes.
This means that 2.2 is the population standard deviation, and thus, the z-distribution should be used for this problem.
2. Determine the sum of the measures of the interior angles of a dodecagon.
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Answer:
1800°
Step-by-step explanation:
The interior angles of a convex polygon with n sides have the sum ...
angle sum = (n -2)×180°
For the 12-sided dodecagon, the angle sum is ...
angle sum = (12 -2)×180° = 1800°
Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24
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Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
19. What was done to overcome the problem of the MSL landing?
O More airbags were used
O A pulley system was created
O A parachute was used
0 A tether and roper were used
HELP PLS ASAP
solve 3p²+7pqr+2q²r²
Answer:
Step-by-step explanation:
Hope this helps !!
Can you solve this equation???
Answer:
-6
Step-by-step explanation:
Move the variable to the left hand side and change its sign.
5 - 2x + 4x = -7
Collect like terms.
- 2x + 4x = - 7 - 5
2x = - 7 - 5
Calculate the difference.
2x = -12
Divide both sides.
x = -6
You get a $600 bonus from work and want to share with your two kids. How much money will each of the three of you get if you split it evenly?
Answer:
$200 each.
Step-by-step explanation:
You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:
$600/3 persons = $200/person
Each person obtains $200.
~
identify a transformation of a function f(x)=x^2 by observing the equation of the function g(x)=5(x)^2
Answer:
Thus the function g is the function f stretched vertically by a factor 5.
Step-by-step explanation:
Multiplication of a function by a constant:
When a function is multiplied by a constant a > 1, the function is stretched vertically by a factor of 5.
In this question:
f(x) = x^2
g(x) = 5x^2
Thus the function g is the function f stretched vertically by a factor 5.
Assume the matrix below is the augmented matrix corresponding to a system of equations with variables x, y, and z (in that order). What is the exact value of z? 11 1 13 0 1 1 12 0 0 1 11
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but a similar question is attached and solved.
An augmented matrix is a matrix obtained by appending the columns of two given matrices. The augmented matrix can be represented as:
[tex]\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] ^{-1}\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-5/9&-7/18&11/18\\2/9&5/9&-4/9\\1/3&-2/3&1/3\end{array}\right] \left[\begin{array}{c}-1\\10\\-6\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-7\\8\\-9\end{array}\right][/tex]
z = -9
Solve the equation -6 + 4a = 18 for a.
OA) 4
OB) 5
OC) 6
OD 9
Step-by-step explanation:
-6 + 4a = 18
4a= 24
a=6
!!!!!!!!!!!!
Answer:
OC) 6
Step-by-step explanation:
Transpose -6 to the other side
-6 + 4a = 18
4a = 18+6
4a = 24
a = 6
Anna invested 2,500 at an annual rate 5%. How long will it take until anna earns 1,125 in interest
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Answer:
9 years
Step-by-step explanation:
The simple interest formula is ...
I = Prt
where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...
t = I/(Pr) = 1125/(2500×.05) = 1125/125
t = 9 . . . . years
It will take 9 years for Anna to earn 1125 in interest.
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!
FIND THE VALUE OF Y=
Answer: 8 is the value for y.
since x=16 as answered in the previous question, then 10x-3+(3y-1)=180 being in a straight line.
please answer thank you
The answer is surface area of composite shape= 411.8 Cm²
Which is true about the functional relationship shown in the graph
Answer:
Step-by-step explanation:
C
Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)
Answer:
range is 6
Step-by-step explanation:
The smallest number in this data set is 1 mile, the largest is 7 miles
the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6
HELP HELP HELP PLEASE!!!!!!!!!!
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Answer:
(a) vertical compression by a factor of 1/3
Step-by-step explanation:
We can see that g(x) = 1/3f(x). Multiplying a function by a constant scales the graph vertically by that factor. When the magnitude of the factor is more than 1, we say the graph is "stretched." When it is less than 1, we say the graph is "compressed" by that factor.
Here, the scale factor is 1/3, so the graph is "vertically compressed by a factor of 1/3."
_____
Additional comment
My personal preference is for compression to be described by the factor the graph is divided by. I would call g(x) a compression of f(x) by a factor of 3. Modern curriculum authors disagree, calling it compression by a factor of 1/3.
Be careful. Using the currently accepted language, a stretch is always by a number larger than 1, and a compression is always by a number less than 1. This rules out choices C and D simply on the basis of the language used.
__
For many graphs, vertical scaling and horizontal scaling can be interchanged. We note that g(x) is wider than f(x), so could be stretched horizontally by some factor. That factor would be √3. The equation using a horizontal stretch factor would be g(x) = (x/√3)^2. Replacing x by x/k is a stretch by a factor of k in the horizontal direction.
Which of the following expressions is equivalent to 45 - 165n?
Select all that apply.
A. 3(15 - 165n)
B. 5(9 -33n)
C. 15(5 - 33n)
D. 9(5 - 33n)
E. 15(3 - 11n)
Answer:
E
Step-by-step explanation:
45-165n
15(3-11n)
basically
45/15=3. 165/15=11
8 minus the difference of p and 4 un algebraic expression
Answer:
8 - (p - 4)
Step-by-step explanation:
8 - (p - 4)
The sum of two numbers is 58. The smaller number is 6 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
x = 58-x-6
x = 58-6-x
x = 52-x
x+x = 52
2x = 52
x= 52/2
x = 26
58-26
= 32
Large number = 32
Small number = 26
DONEI HOPE THIS HELPS YOU!!
4x-5y<_1 isolated by y
Answer:
[tex]y \ge \frac{4x-1}{5}[/tex]
Step-by-step explanation:
Given
[tex]4x - 5y \le 1[/tex]
Required
Solve for y
[tex]4x - 5y \le 1[/tex]
Subtract 4x from both sides
[tex]- 5y \le 1-4x[/tex]
Divide both sides by -5 (the inequality sign changes)
[tex]y \ge \frac{1- 4x}{-5}[/tex]
[tex]y \ge \frac{4x-1}{5}[/tex]
PLS HELP ASAP!!!!!! BRAINLIEST GETS 20 POINTS
hm//jhfjvxxdfcgjhkjlkl.jjkmmbvdxfoknkbkbkbhb
I’ll mark you as brainliest!
Answer:
Area of rectangle = l*b
11*9
99
I think it will help you.
Answer:
first is rectangle
L = 11 m
W = 9m
area = LW
area = 11 × 9
area = 99 sq.m
2nd is circle
D = 21 .6
r = 1/2 × 21.6
r = 10.8
area = 22/7 ×10.8²
area = 336.582 sq.
3rd triangle
B = 8 in
H = 4.6 in
area = 1/2 × 8 × 4.6
area = 18.4 sq.in
4th parallelogram
b = 12 in
h = 3 in
area = b × h
area = 12 × 13
area = 156 sq.in
5th trapezoid
h = 7cm
b1 = 4 cm
b2 = 10 cm
area = ½ ×7 (4 + 10
area =49 sq.cm
Step-by-step explanation:
hope this will help you
Which point is the center of the circle that contains the vertices of a triangle?
The circumcenter is the center of the circle that contains the vertices of a triangle
How to determine the point?When a triangle is inscribed in a circle, the vertices of the triangle touch the circumference of the circle
A line drawn through the center of the circle and passes through each of the triangle vertex is its circumcenter.
Hence, the name of the required point is the circumcenter
Read more about circumcenter at:
https://brainly.com/question/14368399
#SPJ2
Answer:
B. The point of intersection of the perpendicular bisectors of the side
Step-by-step explanation:
definition of circumcenter as the previos question answered
what are the prime factors of 7436439
Answer:
7, 11, 13, 17, 19 and 23
Step-by-step explanation:
Answer:
7,11,13,17,23
hope it helps
thank you
Do the following lengths form a right triangle?
Answer:
Yes, they do
Step-by-step explanation:
Because
6+8=14>9
6+9=15>8
8+9=17>6
A teacher offers 8 extra credit assignments.what is the domain of this graph
A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Answer:
Step-by-step explanation:
322.14 cm²
If this analysis is based on 15 data pairs, what is the 95% confidence interval for the slope of the regression line?
A. (-2.28, 3.38)
B. (-2.243, .34)
C. (-6.09, 2.63)
D. (.375, .724)
E. (.3785, .7195)
Answer:
A. (-2.28, 3.38)
Step-by-step explanation:
The confidence interval of the slope :
b ± Tcritical*SE
Tcritical at 95%, df = n - 2 = (15 - 2) = 13
Tcritical = 2.160369
b = slope Coefficient = 0.54924
S.E = 1.311
Hence, we have :
Confidence interval = 0.54924 ± (2.160369 * 1.311)
Confidence interval = 0.54924 ± 2.832243759
Lower boundary = 0.54924 - 2.83224 = - 2.283
Upper boundary = 0.54924 + 2.83224 = 3.3814
The answer option is A. (-2.28, 3.38)
31. The length of a rectangle is 2 meters less than
three times the width. What is the maximum
integer value of the length if the perimeter is
less than 43 meters?
Answer:
l=15
Step-by-step explanation:
let length=l
width=w
l=3w-2
w=(l+2)/3
Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43
2(4l+2)≤129
8l+4≤129
8l≤125
l≤125/8
so l=15
________________
P=2(l+w)=2(3w-2+w)=8w-4≤43
8w≤47
w≤47/8
l≤141/8-2
l≤125/8
l=15