Answer:
a^m-n
Step-by-step explanation:
If we have the expression m^a / m^n, we can use exponent rules to simplify this.
Exponent rules say that x^a / x^b = x^a-b. In this case, x is a, a is m and b is n, so the same rule applied here.
So a^m / a^m will be equal to a^m-n
Hope this helped!
Your grandmother gave you ₱1000 to start a college book fund. She also promised to add another ₱200 each month, if you add ₱50 monthly. Which rule generates a sequence of the monthly amounts in your college book fund? answer
Answer:
A= ₱1000 + t( ₱250) ------where t is the time in months
Step-by-step explanation:
The principal amount ,P, is given as : ₱1000----- P=₱1000 ------equation (i)
Additional amounts to be added by grandmother = ₱200 monthly
Amount expected to add monthly = ₱50
Additional amounts in total added monthly = ₱200 + ₱50=₱250
Monthly amounts ,A, in the fund after the first month, t =1 month will be:
A=P + ₱250= ₱1000 + 1( ₱250) ------where t= 1, amount at end of month 1
A=P +₱250= ₱1000 + 2( ₱250)--------where t=2, amount at end of month 2
A=P +₱250= ₱1000 + 3( ₱250)---------where t=3, amount at end of month 3
A=P +₱250= ₱1000 + 4( ₱250)--------where t=4, amount at end of month 4
From the breakdown above of 4 months, the general equation of monthly amounts will be;
A= ₱1000 + t( ₱250) ------where t is the time in months
A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t) and this can be determined by forming the linear equation with the help of the given data.
Given :
Your grandmother gave you ₱1000 to start a college book fund. She also promised to add another ₱200 each month, if you add ₱50 monthly.The following steps can be used to determine a sequence of the monthly amounts in your college book fund:
Step 1 - Given that the principal amount is ₱1000 which is given by the grandmother.
Step 2 - Additional amount is given by grandmother is ₱200 and each month ₱50 is added. So, the total additional amount each month is:
= 200 + 50
= ₱250
Step 3 - Let 't' be the number of months. So, the linear equation becomes:
A = 1000 + 250(t)
where A is the total amount and t is the time in months.
A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t)
For more information, refer to the link given below:
https://brainly.com/question/21835898
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 56 N acts on a certain object, the acceleration of the object is 7 m/s2. If the acceleration of the object becomes , what is the force?
how to solve
2(x+4)=2x+5
Step-by-step explanation:
2x+8=2x+5
2x-2x=15-8
0x=7
For employees at a large company, the mean number of overtime hours worked each week is 9.2 hours with a population standard deviation of 1.6 hours. A random sample of 49 employees was taken and the probability that the mean number of overtime hours will be at least 9.3 hours was determined. Was the probability a Left-tail, Right -tail or Interval Probability? Use a calculator to find the probability that the mean overtime hours for the sample will be at least 9.3 hours. Select the two correct answers that apply below.
Complete Question
Answer:
The probability is Right- tailed
The mean overtime hours for the sample will be at least 9.3 hours is
[tex]P(X \ge 9.3 ) = 0.3333[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 9.2 \ hours[/tex]
The standard deviation is [tex]\sigma = 1.6 \ hours[/tex]
The sample size is n = 49
The sample mean is [tex]\= x = 9.3[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{1.6 }{\sqrt{49} }[/tex]
=> [tex]\sigma_{\= x} = 0.22857[/tex]
This is a right -tailed probability because the sample mean is greater than the population mean
Generally the probability that the mean overtime hours for the sample will be at least 9.3 hours is mathematically represented as
[tex]P(X \ge 9.3 ) =1 - P(X < 9.3 )[/tex]
So
[tex]P(X < 9.3 ) = P( \frac{ X - \mu }{ \sigma_{\= x }} < \frac{ 9.3 - 9.2 }{ 0.22857} )[/tex]
Here [tex]\frac{X - \mu }{\sigma _{\= x}} = Z[/tex]
[tex]P(X < 9.3 ) = P( Z < 0.43750)[/tex]
From the z-table
[tex]P(X < 9.3 ) = P( Z < 0.43750) = 0.667[/tex]
So
[tex]P(X \ge 9.3 ) =1 - 0.667[/tex]
[tex]P(X \ge 9.3 ) = 0.3333[/tex]
WILL GIVE BRAINLIEST!! Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?
a
y = 4x + 6
b
y = 4x + 2
c
y = 4x – 2
d
y = 4x – 3
PLEASE ANSWER NEED QUICK ILL GIVE BRAINLISET
Answer:
A) y = 3x -2 is the answer
Step-by-step explanation:
The y-intercept is -2
The slope is going up 3 and right 1 which is 3/1 and 3 divide by 1 is 3.
Hope this helps and pls do mark me brainliest:)
PLEASE HURRY!!! WILL GIVR BRAINLIEST
Answer:
The answer is 39
Step-by-step explanation:
Solve for h in the literal equationg g ( h +3/2)=7
Answer: 40/2=3
Step-by-step explanation:
Holi holi Holi holi Holi holi les voy decir mi tik si tengo segui
Answer:
yeah i understand that
Step-by-step explanation:
holiiiiiiiiiiii
Step-by-step explanation:
» A race car game takes 6 points from a player each
time the player hits a cone. What integer represents
the change in total points if the player hits 10 cones?
Answer:
-60
It is -60 because if it takes away 6 points for each cone you hit and you hit 10, then it would be -60 times 10, which equals -60.
If m<6=72, then m<7=
Answer:
If M<6=72
Step-by-step explanation:
Then What is M
M=72/6 =12
so M<7=12 by 7=84
therefoe M<7=84
The measure of angle 7 in the system created by two non-parallel lines is 108°.
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.
A line that is crossed by a non-parallel line produces four pairs of extra angles, according to geometry. If and only if two angles are close to one another and the sum of their measures is 180 degrees, then those angles are supplementary.
Then, m ∠ 6 + m ∠ 7 = 180° = 72° + m ∠ 7 = 180°.
So, m ∠ 7 = 108°.
Therefore, the measure of angle 7 in the system created by two non-parallel lines is 108°.
Learn more about the supplementary angles here:
brainly.com/question/3027144
#SPJ2
The question seems to be incomplete the correct question would be
If m∠6=72 degrees, then Find m∠7
URGENT
What is the equation of the line that passes through the point ( -2, 7) and has a slope of zero?
Answer:
y=7
Step-by-step explanation:
When ever the slope is 0, the line is completely flat. This means that the equation has the same y for every point.
The y on the point given is 7, therefore the answer is y=7.
find the distance between (5,2) and (−1,9)
Answer:
[tex]d=9.21954[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(-1-5)^2+(9-2)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(7)^2}[/tex]
[tex]d=\sqrt{36+49}[/tex]
[tex]d=\sqrt{85}[/tex]
[tex]d=9.21954[/tex]
Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'?
Enter your answer in the box.
Answer:
the anser is 7 :)
Step-by-step explanation:
If $a:b = 1:3$ and $b$ is a positive, one-digit integer, what is the greatest possible value of $a$?
=========================================
Work Shown:
a:b = 1:3
a/b = 1/3
a*3 = b*1 ... cross multiply
3a = b
b = 3a
Since b is a one digit number, this means that the largest it can get is 9
[tex]b \le 9\\\\3a \le 9\\\\a \le \frac{9}{3}\\\\a \le 3[/tex]
The largest possible value of 'a' is 3
A plane can fly 360 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph slower than the plane, find the speed of the plane. mph
Answer:
390
Step-by-step explanation
the plane is equal to the car right 360 = 120 if the car slows down to 90 that means we took off 30 mph so if we add that 30 to plane that will equal to 390
At a certain location, the number of hours of sunlight is modeled by y = 6.4 cosine (StartFraction pi Over 26 EndFraction x) + 12 where x represents the number of weeks after the summer solstice.
Based on the model, what is the minimum number of hours of sunlight at this location?
3.2
5.6
6.4
13.0
Answer:
5.6
Step-by-step explanation:
Edge 2020
A correct option is an option (b)
Given,
The function is [tex]y=6.4 cos(\frac{\pi x}{26})+12[/tex]
For minimum hours of sunlight, [tex]cos(\frac{\pi x}{26})[/tex] should have the lowest value, that is -1 for [tex]x=26[/tex] {because [tex]cos (\pi )=-1[/tex] is the lowest value of cosine function}
Thus.
[tex]y_{minimum} = -6.4 + 12 \\y_{minimum}= 5.6[/tex]
So, the option is an option (b)
Learn more: https://brainly.com/question/18451626
1. SHOPPING Jenna bought 5 reams of paper at the store for a total of $21. The tax on her
purchase was $1.
Solve 5x + 1 = 21 to find the price for each ream of paper.
(5 Points)
20
20/5
8/2
Answer:
$4
Step-by-step explanation:
5x + 1 = 21
(-1) = 5x = 20
(÷5) = x = 4
Answer:
its 20
Step-by-step explanation:
5 times 4 lol ion really now
Which relation is a function please hurry it’s urgent Thank you
Answer:
d because no x has more than one y value
What is the justification for step 2 in the solution process?16-5x=1-4x; -5x=-4x-15; -x=-15
Answer:
Addition Property Of Equality
Step-by-step explanation:
The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.
Step 1: -5x = -4x -15
Step 2: -x = -15
Answer:
the addition property of equality
Step-by-step explanation:
The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
Answer:
If a polynomial function has integer coefficients, then every rational zero will have the form pq p q where p p is a factor of the constant and q q is a factor
Step-by-step explanation:
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
A t-shirt company has initial costs of $1200 per month and it costs them $3.50 per shirt.
Let y represent the cost to run the company each month and x to represent the number of t-shirts
made each month.
a. Find the linear equation that models the costs for the t-shirt company.
b. Write a complete sentence explaining the y-intercept in this application.
c. Write a complete sentence explaining the meaning of the slope in this application.
Answer:
A. y=3.50x+1200
B. the y intercept in this calculation represents the initial cost before producing any t shirts.
C. The slope is representative of the cost per t shirt produced, where x in the equation is the amount of t shirts produced.
Step-by-step explanation:
if DE=3x+7, EF=2x-3 and DF=7x-9, find DF
Answer:
So -63 isn't the right answer. It is either 6.5 or 13/2 based on how your teacher wants the answer.
Step-by-step explanation:
I did the work to show you how i got there. It is definitely not -63. I hope this helps!
Answer:
jygyygyutyu
Step-by-step explanation:
Which phrase SIgnals a compare and-contrast text structure O as a result betore long for this reason on the other hand
Answer:
D. On the other hand.
Step-by-step explanation:
As a result, before long, and for this reason would be cause and effect. On the other hand is the only remaining option.
The difference between the areas of the figures is less than 6.
Answer:
|24 - (2x - 6)| < 6
x > 12 or x < 18 (12 < x < 18)
Step-by-step explanation:
Area of the triangle = ½*base*height = ½*8*6 = 4*6 = 24 unit²
Area of rectangle = length * width = (x - 3) * 2 = (2x - 6) unit²
Difference in their areas is given as less than 6. This can be represented as an absolute value of inequality as shown below:
|24 - (2x - 6)| < 6
Solve to find the solution of the inequality by splitting into two as follows:
24 - (2x - 6) < 6 OR 24 - (2x - 6) > -6
Solve for each
24 - 2x + 6 < 6
30 - 2x < 6
Subtract 30 from both sides
-2x < 6 - 30
-2x < -24
Divide both sides by -2. < will change to >, since we are dividing by a negative number.
x > 12
Or
24 - (2x - 6) > -6
24 - 2x + 6 > -6
30 - 2x > -6
Subtract 30 from both sides
-2x > -6 - 30
-2x > -36
Divide both sides by -2
x < 18
The solution of the inequality is x > 12 or x < 18
Or can be written as: 12 < x < 18
7 Nevaeh shares 8 candy bars equally among
her 12 friends. Which expressions can be
used to determine the part of the candy bars
each friend receives?
Answer: 8 / 12 = x
Step-by-step explanation:
:D Hope its right
Ling spent $23.96 on cooking fuel for an upcoming camping trip. If she bought 4 cans of fuel, how much did she pay for each can?
Answer:
The answer is $5.99
Step-by-step explanation:
$23.96 divided by 4 is $5.99
Answer:
The answer is $5.99
Step-by-step explanation:
I just did the quiz.
1/5 divided 3=1/15 because
The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments. How much is the amount of each payment.
Answer:
$25
Step-by-step explanation:
Answer:
You will be making 25$ payments each month
Step-by-step explanation:
600/24 = 25
Lol tell me what the answers is for this
Answer:
4
(0,4)
Step-by-step explanation:
The y-intercept is the y-value for when the line intersects with the y-axis. Another way to put this is also the y-value when x=0. This is easy to find when you have a graph because you can simply look to see where on the graph the line intersects with the axis. If you don't have the graph then you can plug 0 in for x in the equation and solve.