Answers
Answer:
[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Step-by-step explanation:
Given expression:
[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]
Simplify:
[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]
[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]
[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Related Questions
In a class of 55 students, 15 students liked Maths but not English and 18 students liked English but
not Maths. If 5 students did not like both, how many students liked both subjects?
Answers
Answer:
17
Step-by-step explanation:
The number of students that liked one more than the other or didn't like either is 15 + 18 + 5, which is 38. The rest of the students in the class liked both subjects. 55 - 38 = 17.
As part of a study on pulse rates, a random sample of 10 study participants had their pulse rate taken and asked to sit quietly for 5 minutes. At the end of 5 minutes, their pulse rates were taken again. The mean difference between the two pulse rates for the 10 participants is -1.2 beats per minute with standard deviation of 2.97. Researchers are interested in estimating the mean difference in pulse rates before and after the 5 minute waiting period for the population of study participants. Calculate the 90% confidence interval for the mean difference in pulse rates for the population of study participants. Use t*
Answers
Answer:
The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{2.97}{\sqrt{10}} = 1.7[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is -1.2 - 1.7 = -2.9 beats per minute
The upper end of the interval is the sample mean added to M. So it is -1.2 + 1.7 = 0.5 beats per minute.
The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.
1,3,5,7,9, ...? please tell me here the answer here please
Answers
Answer:
11
Step-by-step explanation:
1
1 + 2 = 3
3 + 2 = 5
5 + 2 = 7
7 + 2 = 9
9 + 2 = 11
Can y’all help me on question 6?!
Answers
Answer:
B is the answer- positive y and negative x
10. Enter a fraction to 0.93. Use only whole numbers for numerators and denominators.
Answers
Answer:
93/100
Step-by-step explanation:
Answer:
93/100
Step-by-step explanation:
HELP ASAP I WILL MARK BRAINLIEST!!!
Find the surface area of the sphere.
r=3 cm
Formulas for Spheres
S.A. = 41r2
V=far S.A. = [?] cm2
Round to the nearest tenth.
Answers
Answer: 113.0cm²
Step-by-step explanation:
The surface area if a square is calculated as:
= 4πr²
where, radius = 3cm
Surface area = 4πr²
= 4 × 3.14 × 3²
= 4 × 3.14 × 9
= 113.04
= 113.0cm²
Therefore, the surface area is 113.0cm²
What is the factored form. Help doing test rn!!!
Answers
Answer:
(y^3-2)(x^2-2)
Step-by-step explanation:
x^2y^3-2y^3 can be factored. This will be equal to y^3(x^2-2). Then for the other half it will be equal to -2(x^2-2). Because the insides are the same, the equation is the outside two number y^3 and -2 added together time the inside number x^2-2. This will make the expression (y^3-2)(x^2-2).
If this helps please mark as brainliest
PLEASE HELP! GIVING 20 POINTS
do to the problem
find the surface area of this prism
Answers
Answer:
The surface area is 23
Step-by-step explanation:
Good Luck!
Answer:
A=2(wl+hl+hw)=2·(8·10+5·10+5·8)=340
Step-by-step explanation:
Erica drove 200 miles and Steve drove 212.0 kilometers. Who drove
farther? (1km = 0.62 mile)
Answers
Answer:
212×0.62=131.44 so Erica drove farther.
Answer:
The answer is Erica drove farther.
Step-by-step explanation:
212 kilometers is 131 miles and Erica drove 200 miles so Erica drove further.
solve for 30 points and brainliest
7³(8)÷3(2)-1800.3 repeating
Answers
Answer:
29.033333
Step-by-step explanation:
Answer: -1342.966 repeating
Step-by-step explanation: Pemdas≈7^3(8)/6-1800.3=(343)(4)/(3)-1800.3=457.333-1800.3=1342.96
Write the first five terms of the arithmetic sequence.
Please show work. Scam answers will be reported.
Answers
Answer:
Step-by-step explanation:
Please help! 10 points
Answers
Answer:
1 real soultion
Step-by-step explanation:
a
x
2
+
b
x
+
c
=
0
, the values of
x
which are the solutions to the equation are given by:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
Substituting
9
for
a
;
6
for
b
and
1
for
c
gives:
x
=
−
6
±
√
6
2
−
(
4
⋅
9
⋅
1
)
2
⋅
9
x
=
−
6
±
√
36
−
36
2
⋅
9
x
=
−
6
±
√
0
2
⋅
9
x
=
−
6
±
0
2
⋅
9
x
=
−
6
18
x
=
−
1
3
A researcher claims that 45% of U.S. adults think that the IRS is not aggressive enough in pursuing people who cheat on their taxes. You believe the true percentage is more than 45%. To test this, you take a simple random sample of 500 U.S. adults and find that 245 of them say the IRS is not aggressive enough.
Required:
a. What's the minimum population size required?
c. How many successes were there?
c. Test at 0.01 significance.
Answers
I’m just tryna get up my bag yurt
Answer:
a) Then minimum sample size is n = 12
b) We got 245 successes
c)p-value is greater than 0,01 Therefore we accept H₀.
We can´t support our claim
Step-by-step explanation:
a) The minimum population size required to use the approximation of binomial distribution to normal distribution can be obtained from:
n*p > 5 p = 0,45 0,45 * n > 5 n > 11
Then minimum sample size is n = 12
b) We got 245 successes out of n = 500
x = 245 p = 245/500 p = 0,49
q = 1 - p q = 1 - 0,49 q = 0,51
Test Hypothesis:
Null Hypothesis H₀ p = 0,45
Alternative Hypothesis Hₐ p > 0,45
Alternative Hypothesis indicates that the test is a one tail test to the right
z( s) = ( p - 0,45 ) / √ p*q/n
z( s) = ( 0,49 - 0,45 ) / √ 0,49*0,51 / 500
z( s) = 0,04 / 0,0223
z(s) = 1,793
p- value for z = 1.79 is from z-table p-value = 0,0367
Comparing p-value with the significance level 0,01 we see that
p-value is greater than 0,01 Therefore we accept H₀.
We can´t support our claim
If x = 5, then which inequality is true
Answers
Answer:
G
Step-by-step explanation:
Plug X into the inequality.
(5) - 2 < 7 is true
Hope this helps! :)
Answer: G) x-2<7
Step-by-step explanation:
x=5
5-2<7
3<7
three is less than 7.
What is the function?
Answers
Answer:
f(x) = x² + 6 for x < 3
and
f(x) = -x + 6 for x ≥ 3
Step-by-step explanation:
you have to break it up into two separate parts
for x less than 3 is a parabola x² where y = 6 when x = 0
f(x) = x² + 6 for x < 3
and
for x ≥ 3 the function is a line two points (3, 3) and (0, 6)
the slope m = (3 - 6) / (3 - 1) = -1
y intercept = 6 when x = 0
f(x) = -x + 6 for x ≥ 3
Ed is on a road trip. He has already traveled 212 miles and is driving at a rate of 65 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 675 total miles?
Answers
675-212 463
463/65 7.123
So about 7 hours left
Write an equation in slope-intercept form for the line perpendicular to y = -2x + 5 and containing the point (8,-3)
Answers
slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is
y = 1/2x -7
What is perpendicular line?
The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.
What is the equation of line perpendicular to the given line?
we know the slope intercept form of an equation of line is y = mx + b
m is the slope of line and b is the y intercept.
given, equation of a line, y = -2x+5
the slope m = -2 and y intercept, b = 5
we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)
The required line of equation will have a slope equal to the negative reciprocal of the given slope.
hence, the slope will be m = 1/2
the equation of straight line will be y = 1/2x + b
as the line passes through the points (8, -3)
so, -3 = 1/2 × 8 + b
b = -7
y intercept of the new equation = -7
the new equation of line is y = 1/2x -7
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right angle
The sum of yo and 50° is a right
find the value of yo. [4]
then
Answers
Answer:
The angle yo measures 40º.
Step-by-step explanation:
Given that the sum of yo and 50 ° is a right angle, to find the value of yo the following calculation must be performed, knowing that a right angle measures 90 °:
50 + yo = 90
yo = 90 - 50
yo = 40
Therefore, the angle yo measures 40º.
What's the pattern of 1, 2, 4, 5, 7, 8, 10
Answers
Answer:
skipping by 3's
Step-by-step explanation:
Answer:
first term +1
second term +2
+1
+2
+1
+2
and so on
Step-by-step explanation:
please hurry need done asap
Answers
Answer:
Last option is the correct answer
[tex] y=\frac{72}{x} [/tex]
Step-by-step explanation:
When x = 36
[tex] \implies y=\frac{72}{36} = 2[/tex]
When x = 18
[tex] \implies y=\frac{72}{18} = 4[/tex]
When x = 8
[tex] \implies y=\frac{72}{8} = 9[/tex]
When x = 6
[tex] \implies y=\frac{72}{6} = 12[/tex]
Without doing any calculations, compare Expression A to Expression B. ( 34 + 25 ) ÷ 1 4 34 + 25 Which statement is true? A. Expression A is 2 times as great as expression B. B. Expression B is 4 times as great as expression A. C. Expression A is 4 times as great as expression B. D. The two expressions are equal to each other. PLZZZZ HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C.Expression A is 4 times as great as expression B.
Step-by-step explanation:
Given - Without doing any calculations, compare Expression A to Expression B.
A. (34+25) ÷ 1/4
B. 34+25
To find - Which statement is true?
A. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A.
C.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each other.
Solution -
The correct answer is - C. Expression A is 4 times as great as expression B.
Reason -
Given that ,
Expression A is -
( 34 + 25 ) ÷ 1 /4
It can also write it as -
4(34 + 25)
And
Expression B given as -
34 + 25
So,
We can clearly see that,
Expression A is 4 times Expression B.
So,
Option C is correct.
Math is a valuable skill for many workers at their jobs. List two specific examples where math is used in the workplace.
Answers
Answer:
1. A simple cashier working at a supermarket
2. Doctors/medical professionals
Step-by-step explanation:
Although usually simple the cashiers must be able to do basic math to be able to give the correct amount of change to the customer
Medical professionals are constantly converting measurements in the workplace needing math to help with their cases
Answer:
1. Doctors regularly analyze numbers, make computations and employ statistics or to find the success rate of treatments. Math skills also are important when analyzing X-rays and CAT scans.
2. Electrical engineers use math in many ways in their career. They use math to help design and test electrical equipment. They use math to calculate amp and volt requirements for electrical projects. They use math in creating computer simulations and designs for new products.
Step-by-step explanation:
And math teaches other important practices, including how to approach tasks methodically, pay attention to detail, and think abstractly. Science, technology, and engineering disciplines, for example, rely heavily on mathematics.
HELP HELP
13. A floor plan for a house uses a scale in which 1 inch represents 3 feet. The kitchen in the house is 10.5 feet wide. On the plan, the kitchen is
14. An architect is building a model of an apartment building that will be 186 meters tall. The architect uses a scale in which 1 centimeter represents 4 meters . The model will be
Answers
Answer:
13. 3.5
14. 21.5
Step-by-step explanation:
For each one, divide the real size by what 1 unit measures. For the first question, the real size is 10.5 and 1 unit (in this case an inch) represents 3 feet. So do 10.5/3 to get the number of inches uses to represent the total width. 10.5/3 = 3.5
For the second one, the real size is 186 meters. And 1 unit (this time it's a centimeter) represents 4 meters. So do 186/4 and you get 21.5, which is the number of centimeters used to represent the total height.
Find the distance between the points.
(−3,− 8), (6, – 8)
The distance is
Answers
To calculate the distance between two points:
We apply the following formula:
d = √(x₂ - x₁)² + (y₂ - y₁)²
The points are:
(x₁,y₁) = -3, -8(x₂,y₂) = 6, -8We substitute data and solve:
[tex]\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }[/tex]
The distance between the points (−3,− 8), (6, – 8) is 9.
hazar is having 4 friends over to play video games. Each person will spend $6 on game rental and $4 on drinks and snacks, Write two expressions for the total cost for hazar and his friends
Answers
Answer: Here are two possible expressions for the total cost for Hazar and his friends:
The first expression is to add the cost of game rental and drinks and snacks for all the four friends
6x + 4x =10x where x is the number of friends
Second expression is to calculate the cost for each of the 4 friends and then add it together
(6 + 4) * 4 = 40
Both the expressions represent the same outcome, that is the total cost of $40 for Hazar and his friends to play video games.
It's depend on how you want to represent it, both are correct and represents the same outcome.
Step-by-step explanation:
What does the variable s equal in this equation?
S-10 = 31
Answers
Answer:
s = 41
Step-by-step explanation:
[tex]s - 10 = 31[/tex]
Add 10 to both the sides in order to isolate the variable 's'.[tex]=> s - 10 + 10 = 31 + 10[/tex]
[tex]=> s = 41[/tex]
Please help meeee!!!!!!!!!!!!!!
Answers
Answer:
c
Step-by-step explanation:
Luz has 2 red, 2 white, and 3 blue marbles in a cup. If she draws two marbles at random and does not replace the first
one, find the probability of a white marble and then a blue marble.
Answers
Answer:
The probability of white marble is 2/ 7
The probability of blue marble = 3/7
Step-by-steThe prop explanation:
Rashaad has
x
x dimes and
y
y nickels, having no less than 18 coins worth at most $1.50 combined. At least 4 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.
Answers
Answer:
see attached for a graph4 dimes, 22 nickelsStep-by-step explanation:
You want to solve graphically the system of inequalities expressing that Rashaad has no less than a total of 18 dimes (x) and nickels (y) with a combined value of at most $1.50, of which at least 4 are dimes.
InequalitiesAn inequality can be written for each of the constraints:
x + y ≥ 18 . . . . . . . no less than 18 coins
0.10x +0.05y ≤ 1.50 . . . . . . at most $1.50 in value
x ≥ 4 . . . . . . . . . . at least 4 dimes
GraphA graph of these inequalities is attached. The marked points are the vertices of the triangular solution space. Each is a possible solution, along with all of the grid points inside the triangle.
One possible solution is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.
Using graph to solve the system of linear inequality the most likely solutions will be 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50
What is System of Linear InequalitySystems of linear inequalities are equations with two or more linear inequalities that contain two or more variables. These equations can be used to represent real-world problems and to find the solutions of such problems. The solutions of a system of linear inequalities are all the points that are common to all of the linear inequalities in the system.
In this problem, we have to define our variables and then solve this using graphical method. The point of intersection between the two lines lies the solution to the linear inequality.
Let;
x = dimesy = nickelx + y ≥ 18
0.1x + 0.05y ≤ 1.50
x ≥4
Using a graphing calculator to solve this,
The possible solutions is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.
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How much is the monthly amortization on an automobile loan of ₱ 900,000 to be amortized over a 5-year period at a rate 9.5% compounded monthly?
Answers
The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68
How to find the amortization ?The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.
First, find the period in months:
= 5 x 12 months a year
= 60 months
The interest in months :
= 9 . 5 % / 12 months per year
= 9.5 / 12 %
The monthly amortization is:
= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)
= 900, 000 / 47.614827336156
= ₱ 18, 901.68
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