factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z
Part a)
Given the expression
[tex]54m^3n\:+\:81m^4n^2[/tex]
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn[/tex] ∵ [tex]m^4n^2=m^3mnn[/tex]
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27
[tex]=2\cdot \:27m^3n+3\cdot \:27m^3mnn[/tex]
Factor out the common term: 27m³n
[tex]=27m^3n\left(2+3mn\right)[/tex]
Therefore,
[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)[/tex]
Part B)
Given the expression
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z[/tex]
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z[/tex]
Rewrite as
[tex]=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z[/tex]
Factor out common term 5y²x²z
[tex]=5y^2x^2z\left(3y+5x+7\right)[/tex]
Therefore,
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)[/tex]
20 points!
I need help!
I will also be doing a 50 point giveaway later!
Answer:
1; 12.75
2; 47.8 or 47.3
Step-by-step explanation:
52× .25 is 13 then you subtract .25 from 13
and
94.60× .5 is 47.3 then you add the tax, 47.3+ .5 is 47.8.
Answer:
1; 12.75
2; 47.8 or 47.3
Step-by-step explanation:
find the area of circle with radius D cm
Answer:
i cant help much.
Step-by-step explanation:
To find the area of the circle you do π (pie) x radius squared.
Compare the integers, and write the integer with the greater value. -4, -1
Answer:
it should be 1-
Step-by-step explanation: -1 is closer to the zero and that makes it have a greater value than -4, -4 is farther that makes it less. I hope this helps.
Percents
Michael is leaving a 15% tip for his waitress. What percent of the
original price will he pay? Write your answer as a percent, decimal,
and fraction.
Answer:
As a percent: 115%
As a decimal: 1.15
As a fraction: [tex]\frac{23}{20}[/tex]
Step-by-step explanation:
Percentages
Suppose Michael spends some amount of money on food, and that money is set at 100%. He leaves a 15% tip for the waitress.
Thus, he is really paying 100%+15% = 115% of the original price.
To express a percentage as a decimal, we just divide by 100:
115% = 115/100 = 1.15
The same division should be simplified instead of operated to express the percentage as a fraction:
115% = [tex]\frac{115}{100}[/tex]
Simplifying by 5:
115% = [tex]\frac{23}{20}[/tex]
Summarizing:
As a percent: 115%
As a decimal: 1.15
As a fraction: [tex]\frac{23}{20}[/tex]
Help me with this one
Answer:
22/3
Step-by-step explanation:
Can someone please help me question b
Answer:
hi
Step-by-step explanation:
I think it's a triangular prism not sure
Step-by-step explanation:
It is triangular pyramid
Due soon will give brainliest
Answer:
B can I please get Brainliest
Step-by-step explanation:
Answer:
c. 4 cm, 6 cm, 10 cm
Step-by-step explanation:
To represent a right triangle, you would need to use the Pythagorean theorem to find out which one makes up a right triangle and which one doesn't. 6^2 and 8^2 together make up 100 or 10^2 in which A isn't your choice. 12^2 and 35^2 together make up 1369 or 37^2 in which B also isn't your choice. 10^2 and 24^2 together make up 676 or 26^2 in which D isn't your choice as well. The final option C makes up 7.21 when square rooted in which it is not represented by the side lengths of a right triangle.
Which is greater than 4?
(a) 5,
(b) -5,
(c) -1/2,
(d) -25.
Answer:
5
Step-by-step explanation:
all of the others are lower than 0
It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 90 miles? A.60 hours B.6 hours C.2 2/3 hours D. 1 1/2 hours
Answer:
D. 1 1/2 hours
Step-by-step explanation:
First, we need to find the unit rate to then multiply it by 90. to find the unit rate I did 240 miles divided by 4 hours to get 60 miles per hour. So we know we need at least 1 hour to get the 60 miles and to get 90 miles we need to add 30. Since 30 is half of 60 we can just take half of 1 hour which is 30 minutes. we add it together and get 1 hour and 30 minutes, or 1 hour and a half.
Time taken to cover 90 miles is 1.5 hours
Given that;Time taken to cover 240 miles = 4 hours
Find:Time taken to cover 90 miles
Computation:Time taken to cover 90 miles = [90 / 240]4
Time taken to cover 90 miles = [360 / 240]
Time taken to cover 90 miles = 1.5 hours
Learn more:https://brainly.com/question/13326890?referrer=searchResults
what is the ratio of 86 and 128
Answer:67.1875%
Step-by-step explanation:
Convert ratio into fraction 86 / 128
The vertices of a triangle are P[4.1). Q(2.-8), and R(-8.1). What are the vertices of the image reflected across the y-axis?
O A P14.-1), Q12,8), and RX-8.-1)
B. PY-4. 1). Q1-2.-8), and R(8.1)
OC. P(-4,-1). QT-2,8), and R18.-1)
OD. P14.1). Q12.-8), and R1-8.1)
Given:
The vertices of a triangle are P(4,1), Q(2,-8), and R(-8,1).
To find:
The vertices of the image reflected across the y-axis.
Solution:
The vertices of a triangle are P(4,1), Q(2,-8), and R(-8,1). It is reflected across the y-axis.
If a figure is reflected across the y-axis, then
[tex](x,y)\to (-x,y)[/tex]
Using this rule, we get
[tex]P(4,1)\to P_1(-4,1)[/tex]
[tex]Q(2,-8)\to Q_1(-2,-8)[/tex]
[tex]R(-8,1)\to R_1(8,1)[/tex]
So, the vertices of the image are [tex]P_1(-4,1), Q_1(-2,-8), R_1(8,1)[/tex].
Therefore, the correct option is B.
Note: Options are not in proper form.
Answer:
P'(–4, 1), Q'(–2, –8), and R'(8, 1)
Step-by-step explanation:
I need help Knowing What This thing does Before they ban me XD meme life
2+2=????????????????????????????????
Answer:
the answer is 4
Step-by-step explanation:
2+2=4
Smith Middle School has recycled a total of 283.45 pounds of plastic for the months of September and October. If the amount recycled in October was 130.7 pounds, which equation could be used to find the amount recycled, p, in September?
A) 283.45 + p = 130.7
B) 130.7 - p = 283.45
C) p + 130.7 = 283.45
D) p - 130.7 = 283.45
Answer:
answer is c
Step-by-step explanation
answer is c
Answer:
C is the answer
Brainliest are appreciated :DDD
What is the value of (-5)^4
Answer:
625
Please help me with this homework
What is the measure of x
Answer:
x=100°
Step-by-step explanation:
x+80°=180°( straight angle)
x=180°-80°
x=100°
hope it helps.
Given: AD || BC and AD ≅ BC
Prove: AB || CD
here is your answer pls check the answer hope u can understand
Would the answer be 7c? If not can you help cuz im slow
Answer:
There is only six sixes, so that would be 6c.
Step-by-step explanation:
−9x+y= \,\,71 71 -x-y= −x−y= \,\,-1 −1 \mathbf{Add}\text{ to eliminate }\mathbf{y.}Add to eliminate y. \mathbf{Subtract}\text{ to eliminate }\mathbf{x.}Subtract to eliminate x. \mathbf{Subtract}\text{ to eliminate }\mathbf{y.}Subtract to eliminate y. \mathbf{Add}\text{ to eliminate }\mathbf{x.}Add to eliminate x.
Answer:
Add to eliminate y.Step-by-step explanation:
Given the equations
-9x + y = 71.... 1
-x - y = -1 .... 2
Using elimination method we can eliminate y first since they have the same coefficient.
To do that we will need to add up both equations. We are adding because the coefficient of y in both equations has different signs. If they have the same sign, we would have subtracted.
Hence the correct option in this case is to add to eliminate y.
Sara rolls a fair dice 114 times. How many times would sara expect to roll a five?
Answer:
19 times
Step-by-step explanation:
114:6=19
19.5=95
114-95=19
Answer:
1/6 times so about 19 times plz make brainliest
Step-by-step explanation:
Which of the following is an example of a proportional equation? *
Answer:
the first one
Step-by-step explanation:
y=ex where k is constant of proportionallty
1+1+13766969+736837737
Help pls
Show workings
- the type of pair is vertical angle.
- to find x:
-- vertical angles are equal.
4x + 10 = 5x - 1
10 = x - 1
x = 11
Find the length of side x in the simplest radical form with a rational denominator
Answer:
The value of x = 1
Step-by-step explanation:
Given
hypotenuse = √2 angle Ф = 45°To determine
x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
here
Ф = 45°
adjacent of 45° = x
hypotenuse = √2
so substituting Ф = 45° adjacent = x and hypotenuse = √2 in the equation
cos Ф = adjacent / hypotenuse
[tex]\cos \left(45^{\circ \:}\right)=\frac{x}{\sqrt{2}}[/tex]
switch sides
[tex]\frac{x}{\sqrt{2}}=\cos \left(45^{\circ \:}\right)[/tex]
Multiply both sides by 2
[tex]\frac{2x}{\sqrt{2}}=2\cos \left(45^{\circ \:}\right)[/tex]
[tex]\sqrt{2}x=\sqrt{2}[/tex] ∵ [tex]\cos \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}[/tex]
Divide both sides by √2
[tex]\frac{\sqrt{2}x}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}[/tex]
[tex]x=1[/tex]
Therefore, the value of x = 1
Select the correct answer.
Which relation does not represent a function?
А.{(3, 0), (0, 3)}
B.{(6,-2), (5,-2)}
C.{(3, 4), (3,5)}
D.{(5, 5), (-5,-5)}
E.{(1,-2), (-2, 1)}
If g(x) =4SQRx-8 , which statement is true?
A.
The y-intercept of g(x) is less than the y-intercept of f(x).
B.
The y-intercept of g(x) is equal to the y-intercept of f(x).
C.
The x-intercept of g(x) is equal to the x-intercept of f(x).
D.
The x-intercept of g(x) is greater than the x-intercept of f(x).
Answer:
(A).
Step-by-step explanation:
1. 7-3x=34
2. x/2+1=9
3. -x-9=-2
4. 2x+10=-2
5. 5x-42=73
WHAT IS THE X IN THESE EQUATIONS NEED THEM ASAP
You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to the park? We write an equation that represents the percent white of the distance that still needs to be travel Dr. X minutes. And equation is Y = ______ it takes ______ minutes to bike to the park?
Answer:
[tex]y = (100-10x)\%[/tex]
It takes 10 minutes to the park.
Step-by-step explanation:
Given that:
Time taken = 6 minutes
Distance left to be traveled = 40%
To find:
The equation to represent the distance [tex]y[/tex], that still needs to be traveled after [tex]x[/tex] minutes.
Solution:
As per given statement, distance traveled in 6 minutes = 60%
We can say that:
Distance traveled each minute = [tex]\frac{60\%}{6}[/tex] = 10%
After 1 minute, distance traveled = 10%
Distance left = 100 - 10 = 90%
After 2 minutes, distance traveled = 20%
Distance left = 100 - 20 = 80%
After [tex]x[/tex] minutes, distance traveled = 10[tex]x[/tex]%
Distance left, [tex]y[/tex] = (100 - 10[tex]x[/tex])%
Therefore, the equation is:
[tex]y = (100-10x)\%[/tex]
Time taken by the bike to reach to the park can be found by putting [tex]y[/tex] = 0 (i.e. distance left to be traveled = 0)
[tex]0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}[/tex]