Answer:
It would be -16/13x^11y^18.
The standard form of the expression as a monomial [tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]is
-16 /3[tex]$ x^5y^6[/tex]
What is meant by standard form?A number in standard form in mathematics. Standard decimal numbers are the easiest to read and write. For example, the standard form of the decimal number 0.007 is 7 10-3. It can be difficult to read or write very large or very small numbers. As a result, we write them in standard format. Any number that can be written as a decimal number between 1.0 and 10.0 multiplied by a power of ten is said to be in standard form.An equation is written in standard form as Ax + By = C, where A, B, and C are all integers. This form of the equation is especially useful for calculating the x- and y-intercepts.Given,
[tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]
Simplify
[tex]\left(-3 x y^2\right)^3:-27 x^3 y^6 \\[/tex]
[tex]&=-27 x^3 y^6\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]
Simplify
[tex]\left(\frac{-2}{3 x^2 y^3}\right)^4: \frac{16}{81 x^8 y^{12}} \\[/tex]
[tex]&=-27 x^3 y^6 \frac{16}{81 x^8 y^{12}}[/tex]
Apply the fraction rule:
[tex]$\quad a \cdot \frac{b}{c}=\frac{a \cdot b}{c}$[/tex]
∴ [tex]=-\frac{27 x^3 y^6 \cdot 16}{81 x^8 y^{12}}[/tex]
Factor the number: 81 = 27.3
[tex]=-\frac{27 x^3 y^6 \cdot 16}{27 \cdot 3 x^8 y^{12}}[/tex]
Cancel the common factor: 27
[tex]=-\frac{x^3 y^6 \cdot 16}{3 x^8 y^{12}}$$[/tex]
Simplify
[tex]$\frac{x^3}{x^8}: \frac{1}{x^5}$[/tex]
∴ [tex]=-\frac{y^6 \cdot 16}{3 x^5 y^{12}}[/tex]
Simplify the equation,
[tex]$\frac{y^6}{y^{12}}: \frac{1}{y^6}$[/tex]
then we get,
[tex]=-\frac{16}{3 x^5 y^6}[/tex]
Hence, The standard form of the expression as a monomial [tex]&\left(-3 x y^2\right)^3\left(\frac{-2}{3 x^2 y^3}\right)^4 \\[/tex]is -16 /3[tex]$ x^5y^6[/tex]
To learn more about standard form, refer to:
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Y=2.25 +1.75(x-1) rate of change
Answer:
I think its -2/7
Step-by-step explanation:
if I'm wrong I'm sorry
3. Find the slope of the line described by the equation.
5x = 90 – 9y
Answer
x= -9y/5 +18
y= -5x/9 +10
Step-by-step explanation:
Step-by-step explanation:
5x=90-9y
9y=-5x+90
y= (-5/9)x+10
Slope= -5/9
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.
Answer:
The answer is C : $115.54
Step-by-step explanation:
If you add every single items cost together, the total is $109.00
60 + 14 = 74
10 + 25 = 35
74 + 35 = $109
You then caculate what 6% percent of 109 is = $6.54
After that, you add the total and percent together
$6.54 + $109.00 = $115.54
Answer:answer is c
Step-by-step explanation:I took edge 2022
Need for a test !!!!!!!!!!
You have 37.72 g of a material. What volume would this sample occupy if the material has the density listed below? *
5.55 g/cm^3
Answer:
6.79cm^3Step-by-step explanation:
Given data
mass m=37.72g
density=5.55 g/cm^3
volume v=?
We know that density is
density = mass/volume
Substituting into the expression we have
5.55 g/cm^3=37.72/v
cross multiply we have
5.55v=37.72
v=37.72/5.55
v=6.79cm^3
582 x 23 ≈ __________ x __________ = 12,000
can someone please help me with this math problem
Answer:
600 x 20 = 12000
Step-by-step explanation:
582 rounds to 600, and 23 rounds to 20.
The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.
can someone please help me
Answer:
Multiply 7 by 3.
Step-by-step explanation:
In PEMDAS, parenthesis, exponents, multiply, divide, addition, subtratcion, you start with parenthesis first. Then you look inside the parenthesis, and ythere is no division problems. So you do the multiplication inside the parenthesis.
(3)/(5)x = (2)/(5)x + 8
Answer: x=-19
Step-by-step explanation:
Divide polynomials using long division
(10h+20)÷(h+2)
Answer:
10
Step-by-step explanation:
Put the h+2 on the outside and 10h+20 on the inside
h+2 can go into 10h+20 ten times.
So the final answer is 10
To determine the number of trout in a lake, a conservationist catches 174 trout, tags them and throws them back into the lake. Later, 22 trout are caught; 11 of them are tagged. How many trout would the conservationist expect to be in the lake?
Answer:
348 trouts in the lake
Step-by-step explanation:
Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.
22 total trouts caught later <=========> 11 trouts were tagged
x total trouts <=========> 174 trouts tagged
(174 * 22) / 11 = 348 total trouts in the lake
Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.
The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x. Which statement is true?
Complete question :
The regression equation y = 4x + 20 approximates the number of people attending a picnic, y, given the number of flyers used to advertise it, x.
Which statement is true?
a.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 20.
b.) For every extra person attending a picnic, the number of flyers used to advertise it increases by 4.
c.) For every extra flyer used in advertising, the attendance increases by 20 people.
d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Answer: d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Step-by-step explanation:
Given the regression equation; y = 4x + 20;
Where y = number of people attending a picnic
x = number of flyers used to advertise it
In the equation;
y = predicted variable ; x = predictor variable ; gradient or slope = 4
The slope or gradient is the rate of change un the response variable with respect to a unit change in the independent variable.
Here, the slope value is +4 and is thus interpreted to mean that, for each 1 unit change in the independent variable (number of flyers shared), there is a corresponding increase in the response variable (number of attendees) by a unit of 4.
Answer:
d.) For every extra flyer used in advertising, the attendance increases by 4 people.
Step-by-step explanation:
Help. (Math) The following construction was performed. What distance did the compass have to be set to sweep the two arcs through point T?
1. RP
2. QR
3. QT
4. QP
Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30
Answer:
y-int = -10, x-int = 15/2
Step-by-step explanation:
y int:
-4(0)+3y=-30
3y=-30
y=-10
x int:
-4x+3(0)=-30
-4x=-30
x=30/4=15/2
Write −1.05 as a mixed number in simplest form.
Answer:
-1 1/20.
Step-by-step explanation:
0.05 = 5/100
= 1/20
So -1.05 = -1 1/20.
Segments CD, GH, and JK intersect at point A. Line AB bisects Line JK. Find the values of a and y
Answer:
x = 67.5°
y = 27.5°
Step-by-step explanation:
Find x:
m<CAJ = 22.5° (given)
<CAJ and <DAK are vertical angles. Vertical angles are congruent, therefore,
m<DAK = m<CAJ
m<DAK = 22.5° (substitution)
m<BAK = right angle (AB is perpendicular to JK)
Therefore,
m<BAK = 90°
m<DAK + x° = m<BAK (Angle addition postulate)
22.5° + x° = 90° (substitution)
Subtract 22.5 from both sides
x = 90° - 22.5°
x = 67.5°
Find y:
m<CAH = 130° (given)
m<CAH + m<DAK + m<HAK = 180° (Angles on a straight line)
130° + 22.5° + m<HAK = 180° (Substitution)
152.5 + m<HAK = 180°
Subtract 152.5 from both sides
m<HAK = 180° - 152.5°
m<HAK = 27.5°
y = m<HAK (vertical angles are congruent)
y = 27.5° (substitution)
The value of x and y from the figure is 27.5 and 62.5 degrees
To get the value of y, we will take the sum of angle on a straight line JK to have:
22.5 + 130 + x = 180
152.5 + x = 180
x = 180 - 152.5
x = 27.5 degrees
For the angle x, the sum of x and y from the diagram is complementary. Hence;
x + y = 90
y = 90 - x
y = 90 - 27.5
y = 62.5 dgrees
Hence the value of x and y from the figure is 27.5 and 62.5 degrees
Learn more on angles here: https://brainly.com/question/24775470
Given g(x) = -3x + 1, find g(2).
Answer:
- 5
Step-by-step explanation:
Step 1:
g ( x ) = - 3x + 1 Function
Step 2:
g ( x ) = - 3 ( 2 ) + 1 Input x
Step 3:
g ( x ) = - 6 + 1 Multiply
Answer:
g ( x ) = - 5 Add
Hope This Helps :)
THIS IS DUE TODAY! PLEASE ANSWER!: Find the value of 'X' in the triangle below
Answer:
Step-by-step explanation:
First find the angle in the lower left.
180 - 100 = 80
3x + 2x + 80 = 360
solve for x
5x = 280
5x/5 = 280/ 5
x = 56
Plug this in to make sure the equation is true
3(56) + 2(56) + 80 = 360
168 + 112 + 80 = 360
360 =360
Therefore x = 56
Hello tell me a result of a mathematical problem porfa is if pedro is 109 and Angela has 5,000 how much do they have in total?
Answer:
5,109
Step-by-step explanation:
:) please give brainliest
In a school auditorium there are 33 seats in each row of seats how many rows are needed for 528. Students to each have a seat
Answer:
16
Step-by-step explanation:
just divide 528 by 33
A friend of mine is giving a dinner party. His current wine supply includes bottles of zinfandel, of merlot, and of cabernet (he only drinks red wine), all from different wineries. If he wants to serve bottles of zinfandel and serving order is important, how many ways are there to do this? If bottles of wine are to be randomly selected from the for serving, how many ways are there to do this? If bottles are randomly selected, how many ways are there to obtain two bottles of each variety? If bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? If bottles are randomly selected, what is the probability that all of them are the same variety?
Answer:
Explained below.
Step-by-step explanation:
The complete question is:
A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 of cabernet (he only drinks red wine), all from different wineries. a. If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? b. If 6 bottles of wine are to be randomly selected from the 30 for serving, how many ways are there to do this? c. If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? d. If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? e. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?
Solution:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
Permutation is the number of ways to select k items from n distinct items in a specific order.
The formula to compute the permutation or arrangement of k items is:
[tex]^{n}P_{k}=\frac{n!}{(n-k)!}[/tex]
(a)
The number of ways to serve 3 bottles of zinfandel, with a specific order is:
[tex]^{8}P_{3}=\frac{8!}{(8-3)!}=\frac{8\times7\times6\times5!}{5!}=336[/tex]
(b)
The number of ways to select 6 bottles from the 30 is:
[tex]{30\choose 6}=\frac{30!}{6!(30-6)!}=\frac{30!}{6!\times 24!}=593775[/tex]
(c)
The number of ways to select two bottles of each variety is:
[tex]{8\choose 2}\times {10\choose 2}\times {12\choose 2}=\frac{8!}{2!\times6!}\times \frac{10!}{2!\times8!}\times \frac{12!}{2!\times10!}[/tex]
[tex]=\frac{12!}{(2!)^{3}\times 6!}\\\\=83160[/tex]
(d)
Compute the probability of selecting two bottles of each variety if 6 bottles are selected:
[tex]P(\text{2 bottles of each})=\frac{83160}{593775}=0.14[/tex]
(e)
Compute the probability of selecting the same variety of bottles, if 6 bottles are selected:
[tex]P(\text{Same Variety})=\frac{{8\choose 6}+{10\choose 6}+{12\choose 6}}{{30\choose 6}}[/tex]
[tex]=\frac{28+210+924}{593775}\\\\=0.0019570\\\\\approx 0.002[/tex]
jessica edits the school year book she says that the dimensions of the student photo are proportional to the dimensions of the small photo medium photos large photos found throughout the year book. is she correct explain your reasoning.
9514 1404 393
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
Which expression is equivalent to
(2x4y)3
2x7y4
2x12y3
8x7y4
8x12y3
Answer:
D
Step-by-step explanation:
Already did it.
12. Which equation describes the line with a slope of 2 that contains the point (4, -3)?
a. y - 4 = 2(x+3)
c. y +3 = 2(x-4)
b. 2(y - 3) = x +4
d. 2(y+4) =x+3
20 penguins on a ice berg 9 jump in the water 8 move to a island how many are left on the ice berg
Answer:
3
Step-by-step explanation:
20-9=11
11-8=3
3 is the final answer
10 points if you answer
Answer:
tbh i think it b or c
Step-by-step explanation:
i domnt really know about slope that well but i think it is c
Answer:
i think it is a
Step-by-step explanation:
question 8 i mark as brainliest
Answer:
195 tickets
Step-by-step explanation:
If the dance teacher spent the whole budget, then that means you can just divide the budget by the cost of tickets:
5,460 / 28, which is 195 tickets.
308 car stereos were recently sold in a car audio store. 112 had a CD player, 115 had a cassette player, and 40 had both a CD and a cassette player. How many had a CD player only
Answer: The number of car stereos had a CD player only = 72
Step-by-step explanation:
As per given,
Number of car stereos had CD player = 112
Number of car stereos had both CD and a cassette player= 40
Then, the number of car stereos had a CD player only = (Number of car stereos had CD player ) -(Number of car stereos had both CD and a cassette player)
= 112- 40
= 72
Hence, The number of car stereos had a CD player only = 72
If p=-4 and q=5 evaluate the following:
pq-(p-q)
= -11
p^2+3q
Answer:
pq - (p-q) = -11 checked
Step-by-step explanation:
p= -4, q = 5,
pq= -20, p-q = (-4) - 5 = -9
pq - (p-q) = -20 - (-9) -20 +9 = -11
Susan read 40 pages of a novel in 80 minutes. How long will it take her to read 210 pages of the novel?
Answer: It will take Susan 420 minutes to read 210 pages of her novel.
An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100 and a standard deviation of 15, what is the minimum IQ required for admission into the organization?
• Use Excel, and round your answer to the nearest integer.
Provide your answer below:________.
Answer:
The minimum IQ score will be "126".
Step-by-step explanation:
The given values are:
Mean
[tex]\mu = 100[/tex]
Standard deviation
[tex]\sigma=15[/tex]
Now,
⇒ [tex]P(z>x)=4 \ percent \ i.e., 0.04[/tex]
⇒ [tex]P(z>\frac{x- \mu}{\sigma} )=0.04[/tex]
⇒ [tex]1-P(z \leq \frac{x-100}{15})=0.04[/tex]
⇒ [tex]\frac{x-100}{15}=z0.96[/tex]
[tex]=NORMDIS(z=0.96)[/tex]
[tex]=1.751[/tex]
⇒ [tex]x=100+15\times 1.751[/tex]
[tex]=126.265 \ i.e., 126[/tex]
The temperature rose by 3°C. Suppose it fell from -2°C to -10°C. Predict whether the change in temperature would be positive or negative.
Answer:
Probably negative.
Step-by-step explanation:
It fell 8 degrees celsius. That's a lot!
