Answer:
Step-by-step explanation:
a) 144x³y² = 2 *2*2*2* 3* 3* x³ * y² = 2⁴ * 3² * x³ * y²
81xy⁴ = 3 * 3 * 3 * 3 * x * y⁴ = 3⁴ * x * y³
GCD is that are in both term
Greatest common divisor = 3² * x * y² = 9xy²
b) 144x³y² - 81xy⁴ = 9xy² * 16x²y - 9xy²*9y²
= 9xy²(16x²y - 9y²)
I answered all my work correctly but I don’t understand this one.
Can i please have help thanks.
Answer:
[tex] q = 2(3r + 8) [/tex]
Step-by-step explanation:
There are two variables, q and r in the expression given. To make r the independent variable, it simply means, make q the subject of the formula, so that variable q would be dependent on variable r. As r changes, q changes also.
Thus,
[tex] q - 10 = 6(r + 1) [/tex]
Open the parenthesis
[tex] q - 10 = 6r + 6 [/tex]
Add 10 to both sides
[tex] q - 10 + 10 = 6r + 6 + 10 [/tex]
[tex] q = 6r + 16 [/tex]
[tex] q = 2(3r + 8) [/tex]
Please solve (will make brainiest)
Answer:
1a) 1/64
1b) 1/169
1c) 1/9
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]
Question A,
[tex] {4}^{ - 3} = \frac{1}{ {4}^{3} } = \frac{1}{64} [/tex]
Question B,
[tex] {13}^{ - 2} = \frac{1}{ {13}^{2} } = \frac{1}{169} [/tex]
Question C,
[tex] {( - 3)}^{ - 2} = {( - \frac{1}{3}) }^{2} = \frac{1}{9} [/tex]
Please help! Urgent! Will mark Brainliest!
Answer:
[tex]x = 15[/tex]
Step-by-step explanation:
Since lines f and g are parallel, that means that the top angles will be the same, while the bottom angles will also be the same.
The angles of any quadrilaterals all add up to 360°, so we can create the equation like this:
[tex]3x + 3x + (6x + 45) + (6x+45) = 360[/tex]
Combine like terms so we can get a simpler equation:
[tex]6x + 12x + 90 = 360\\18x + 90 = 360[/tex]
Now let's solve for x!
[tex]18x + 90 - 90 = 360 - 90\\18x = 270\\18x\div18 = 270\div18\\x = 15[/tex]
So [tex]x = 15[/tex].
Hope this helped!
Answer:
15
Step-by-step explanation:
3x + 6x + 45 = 180
9x = 135
x = 15
Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC.
Answer:
[tex]AC=20[/tex]
Step-by-step explanation:
The line segment AC is the entire length of the line. Within this segment, point B is found.
Point B, in a way, splits the segment into two, creating the segments AB and BC.
To find the length of AC, add the lengths of the lines AB and BC together:
[tex]AB=11\\BC=9\\AB+BC=AC\\11+9=AC\\20=AC[/tex]
The length of AC is 20.
:Done
Answer:
20 units.
Step-by-step explanation:
Segment AC is broken into two parts by point B. That means that the length of segment AB plus the length of segment BC equals the length of segment AC.
If BC = 9, and AB = 11, AC = 9 + 11 = 20 units.
Hope this helps!
James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer? removing the last 10 trials from the experimental data completing the experiment many more times and combining the results to the trials already done including a fifth possible outcome performing the experiment again, stopping immediately after each event occurs once
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Step-by-step explanation:
There are 9 classes of 25 students each, 4 teachers, and two times as many chaperones as teachers.
Each bus holds a total of 45 people.
What is the least number of buses needed for the field trip?
5 buses is the answer pls mark me brainliest
Least number of bus require for trip = 5 buses
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Total number of classes = 9
Number of student in each class = 25
Number of teacher = 4
Number of chaperones = Double of teacher
Bus hold = 45 people
Now,
Total number of student = 9 × 25
= 225
Number of chaperones = 4 × 2
= 8
Total people = 225 + 8 + 4
= 237
Least number of bus require for trip = Total people / Bus hold
= 237 / 45
= 5.266
Learn more about unitary method here:
https://brainly.com/question/22056199
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F(x)=0.5x^2-2 and g(x)=8x^3+2
Answer:
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
Step-by-step explanation:
To find (f*g)(x), you need to multiply f(x) with g(x). Use FOIL to multiply.
f(x) = 0.5x² - 2
g(x) = 8x³ + 2
(f*g)(x) = (0.5x² - 2)(8x³ + 2)
(f*g)(x) = 4x⁵ + x² - 16x³ - 4
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
ху
1 | 20
3 | 10
5 | 0
7 | -10
A. Initial value: 20, rate of change: 10
B. Initial value: 30, rate of change: 10
C. Initial value: 25, rate of change: -5
D. Initial value: 20, rate of change: -10
Answer:
C, at 0/25, 1/20, 2/15, 3/10,...
Answer:
C
Step-by-step explanation:
Remember, a percent is a fractional part
of 100. In a bag of candy, 15 of the 50
pieces are red. What percentage of the
candy is red?
mex
B 50%.
C 3006
D 659
Answer:
Step-by-step explanation:
B
Answer:
The answer would be 30% (although I don't see that as an answer).
Step-by-step explanation:
This is because when you multiply the denominator times a number that makes the denominator 100 and multiply that same number by the numerator you get the percentage of the sample you are looking at on the numerator.
15/50 = (15*2)/(50*2) = 30/100 = 30%
i will mark brainlist!!
Answer:
3/5 + 2 3/4 = 3 7/20
Step-by-step explanation:
2 = 8/4
2 3/4 = 2 + 3/4
then:
3/5 + 2 3/4 = 3/5 + 8/4 + 3/4
= 3/5 + (8+3)/4
= 3/5 + 11/4
3/5 = 12/20
11/4 = 55/20
then:
3/5 + 11/4 = 12/20 + 55/20 = 67/20
67/20 = 60/20 + 7/20 = 3 + 7/20
= 3 7/20
1.Solve by factorization method: x+1/x=11 1/11 2.Comment on the nature of roots for 4x^2-5=2(〖x+1)〗^2-7 plz, help...
Answer:
The equation
[tex]4\,x^2-5=2\,(x+1)^2-7[/tex]
can be solved by first expanding all indicated operations, and later when the constant terms disappear, by factoring out 2x , leaving the equation as a product of two factors equal zero, from which it is easy to extract the roots. See below.
Step-by-step explanation:
When solving for x in the following expression, and using factoring to apply at the end the zero product theorem:
[tex]4\,x^2-5=2\,(x+1)^2-7\\4\,x^2-5=2\,(x^2+2x+1)-7\\4\,x^2-5=2\,x^2+4\,x+2-7\\4\,x^2-5=2\.x^2+4\,x-5\\4\,x^2=2\,x^2+4\,x\\4\,x^2-2\,x^2-4\,x=0\\2\,x^2-4\,x=0\\2\,x\,(x-2)=0[/tex]
We observe that for the last product, to get a zero, x has to be zero (making the first factor zero), or x has to be "2" making the binomial factor zero.
Write the equation for the line that passes through the points (4, 5) and
(6,9). *
Answer:
y = 2x + 1
Step-by-step explanation:
first find slops
(9-5)/(6-4) = 4/2 = 2 = m
y = mx + b
5 = 2(2) + b
1 = b
y = 2x + 1
Answer:
y = 2x - 3
Step-by-step explanation:
gradient of the line is
[tex] \frac{9 - 5}{6 - 4 } = 2[/tex]
equation will be:
[tex] \frac{y - 5}{ x - 4} = 2[/tex]
y - 5 = 2x - 8
y = 2x - 3
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
1/6
Step-by-step explanation:
People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.
There are a total of 36 people.
People who answered their calls before the second ring were only 6/36.
When we simplify the fraction, we get 1/6.
So, the answer is 1/6.
Figure A is a scale image of Figure B. What is the value of x?
please answer asap!
Answer:
[tex]\huge \boxed{x=30}[/tex]
Step-by-step explanation:
[tex]\sf We \ can \ use \ ratios \ to \ solve.[/tex]
[tex]\displaystyle \frac{45}{27} =\frac{x}{18}[/tex]
[tex]\sf Multiply \ both \ sides \ by \ 18.[/tex]
[tex]\displaystyle \frac{45}{27}(18) =\frac{x}{18}(18)[/tex]
[tex]\sf Simplify \ the \ equation.[/tex]
[tex]\displaystyle \frac{810}{27} =x[/tex]
[tex]30=x[/tex]
20 squared (+5) divided by 100
The answer is 4.05
Step-by-step explanation:
20^2 is 20•20 which is 400 || +5=405 || /100=4.05
Simplify 18-2[x + (x - 5)].
O8-4x
28 - 4x
28 - 2x
Answer:
28-4x
Step-by-step explanation:
Step 1: Open most inner bracket and simplify
=18-2(x+x-5)
=18-2(2x-5)
Step 2: Expand brackets by multiplying 2 in and simplify
=18-2(2x)-2(-5)
=18-4x+10
=28-4x
Therefore the answer is 28-4x
Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 333 meters and 555 meters. The second rectangle has side lengths of 777 meters and 444 meters. What is the combined area?
Answer:
Step-by-step explanation:
333 times 555=184815
777 times 444=344988
now add 184815+344988=529803
What are all the numbers of Pi? I need this now please
Thank you!! ♥︎
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...
Step-by-step explanation:
x^{2m+n} * x^{n-m} / x^{m+2n}
Answer:
=x
Step-by-step explanation:
Answer:
[tex]\boxed{1}[/tex]
Step-by-step explanation:
[tex]x^{2m+n} * x^{n-m} / x^{m+2n}[/tex]
When bases are same for exponents in division, subtract exponents.
[tex]x^{2m+n} * x^{n-m-(m+2n)}[/tex]
[tex]x^{2m+n} * x^{n-m-m-2n}[/tex]
[tex]x^{2m+n} * x^{-n-2m}[/tex]
When bases are same for exponents in multiplication, add exponents.
[tex]x^{2m+n+-n-2m}[/tex]
[tex]x^{2m+0-2m}[/tex]
[tex]x^0[/tex]
Any base with power or exponent of 0 is 1.
[tex]x^{0}=1[/tex]
Sam ran 63,756 feet in 70 minutes. What is Sam's rate in
miles per hour? (There are 5,280 feet in one mile.)
Step 1: What is Sam's rate as stated?
63,756 feet
63, 756 ft
70 min
70 minutes
Step 2: What factor is used to convert feet per minute into
miles per minute?
Step 3: what factor is used to convert miles per minute to miles per hour
Answer:
10.35 miles per hour
Sam's rate as stated is 63,756 feet per 70 minutes
Divide by 5,280 feet
Divide by 60 minutes
Step-by-step explanation:
1. Find how many feet Sam ran in one minute
63,756 ÷ 70 = 910.8 ft.
2. Find how many feet he ran in one hour
910.8 · 60 = 54,648 ft.
3. Convert the feet to miles
54,648 ÷ 5280 = 10.35
Step 2: There are 5280 feet in one mile. Therefore, you would divide by 5280 feet to convert feet per minute into miles per minute.
Step 3: There are 60 minutes in one hour. Therefore, you would divide by 60 minutes to convert miles per minute to miles per hour.
Answer:
1: 63,756 and 70 mins
2: 1 mile and 5,280 feet
3: 60 mins and 1 hour
4: 10.35
Consider the plot created from the residuals of a line of best fit for a set of data.
Does the residual plot show that the line of best fit is appropriate for the data?
Yes, the points have no pattern.
No, the points are evenly distributed about the x-axis.
No, the points are in a linear pattern.
Yes, the points are in a curved pattern.
Answer:
No, the points are in a linear pattern.
Step-by-step explanation:
Residual plot is a graph that shows the residuals on the vertices. The y-axis has residual values and x-axis has independent variables. The horizontal axis shows the independent variables to determine the best fit for a set. The graph given is in a linear pattern. The random pattern shows that linear model is good fit.
Answer:
C: No, the points are in a linear pattern
Step-by-step explanation:
edg2021
I have been seeing this question with multiple different answers, and no one is sure about anything! All I can say for sure is that IT IS NOT A! So C makes the most sense. B is simply not true, and neither is D, its not curved or evenly distribute.
Who’s salary represents the median of the data in the table?
Answer:
Rajesh salary is the median
Step-by-step explanation:
Am not good in explanation
Answer:
1: Ram
Step-by-step explanation:
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values
if we put these salaries in order we can find out what the median salary is.
32,701 , 45,600 , 52,000 , 67,250 , 71860.
The number in the centre or the middle is 52,000. That is Ram's salary.
The answer is 1. Ram
I hope you find this useful, rate me the brainliest if you did ;)
What is the perimeter of the figure shown?
Answer:
[tex]\boxed{16 units}[/tex]
Step-by-step explanation:
Hey there!
Well since all the sides are congruent and there are 8 sides we can make the following expression,
P = 2*8
P = 16
Hope this helps :)
Answer:
16
Step-by-step explanation:
The sides of this figure are equal to each other .
the permiter is the sum of the sides
The figure has 8 sides.
● P = 8 × 2
● P = 16
An average person's hair grows at a rate of 19cm per year how fast in inches per month does the average person hair grow in conversion factor round you answer to the nearest tenths
Answer:
Around 1.6 cm per month
Step-by-step explanation:
We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.
[tex]\frac{19}{12} = \frac{x}{1}[/tex]
We can now cross multiply:
[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]
1.58333... rounds to 1.6.
Hope this helped!
2c+17.6 =6 SOLVE --------------- 4 give your answer as a decimal get brainly
Answer:
[tex]\huge\boxed{x = -5.8}[/tex]
Step-by-step explanation:
2x + 17.6 = 6
Subtracting both sides by 17.6
2x = 6 - 17.6
2x = -11.6
Dividing both sides by 2
x = -11.6 / 2
x = -5.8
Find the area of the shape shown below.
2
2
2
2
2
units
Answer:
8
Step-by-step explanation:
khan
Answer:
8
Step-by-step explanation:
A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the length of her shadow increasing when she is 50 ft from the base of the pole
Answer:
4 ft/sec
Step-by-step explanation:
Hope it helps
Allie, Ben, and Cliff plant ceilings in the neighborhood park. Ali plans 40% of the total number of ceiling, then place 45% of the total number of seed wings, and Cliff plans the rest of the siblings. If Cliff +84 siblings how many seedling do the three boys play together
Answer:
The number of seedlings the three boys planted together is 560 seedlings
Step-by-step explanation:
The possible information in the question are;
Percentage of the seedlings planted by Ali = 40%
Percentage of the seedling planted by Ben = 45%
The percentage of the seedling planted by Cliff = The rest of the seedling
The number of seedling planted by Cliff = 84 siblings
Therefore, the percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%
Given that Cliff planted 15% of the seedlings, we have;
15% of seedlings Cliff planted = 84
Let X = the total number of seedlings
15/100 × X = 0.15×X = 84
X = 84/0.15 = 560
The total number of seedlings = The number of seedlings the three boys planted together = 560 seedlings.
Bob says that he can find the area of the triangle below using the formula: A = [tex]\frac{1}{2}[/tex] * 8 *18 * sin (120°). Is he correct? Explain why or why not.
Answer:
No.
Step-by-step explanation:
No, Bob is not correct.
The formula he's using is the following:
[tex]A=\frac{1}{2} ab\sin(C)[/tex]
The important thing here is that the angle is between the two sides.
In the given triangle, 120 is not between 8 and 18. Therefore, using this formula will not be valid.
Either Bob needs to find the other side first or find the angle between 8 and 18.
