The products of the polynomials are:
(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²(x - y) * (x + 3y) = x² + 2xy + 3y²(xy + 3x + 2) * (xy – 9) = x²y² - 7xy + 3x²y - 27x - 18(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 7xy - 6(x + 3y) * (x – 3y) = x² - 9y²How to evaluate the products?To do this, we multiply each pair of polynomial as follows:
Pair 1: (xy + 9y + 2) and (xy – 3)
(xy + 9y + 2) * (xy - 3)
Expand
(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6
Evaluate the like terms
(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6
Pair 2: (2xy + x + y) and (3xy² - y)
(2xy + x + y) * (3xy² - y)
Expand
(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²
Pair 3: (x – y) and (x + 3y)
(x - y) * (x + 3y)
Expand
(x - y) * (x + 3y) = x² + 3xy - yx + 3y²
Evaluate the like terms
(x - y) * (x + 3y) = x² + 2xy + 3y²
Pair 4: (xy + 3x + 2) and (xy – 9)
(xy + 3x + 2) * (xy – 9)
Expand
(xy + 3x + 2) * (xy – 9) = x²y² - 9xy + 3x²y - 27x + 2xy - 18
Evaluate the like terms
(xy + 3x + 2) * (xy – 9) = x²y² - 7xy + 3x²y - 27x - 18
Pair 5: (x² + 3xy - 2) and (xy + 3)
(x² + 3xy - 2) * (xy + 3)
Expand
(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 9xy - 2xy - 6
Evaluate the like terms
(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 7xy - 6
Pair 6: (x + 3y) and (x – 3y)
(x + 3y) * (x – 3y)
Apply the difference of two squares
(x + 3y) * (x – 3y) = x² - 9y²
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A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from one day to the next. a family plans a four-day trip to this ski resort in january. let x represent the number of days it snows while the family is there. what are the mean and standard deviation of x? mu subscript x baseline = 1, sigma subscript x baseline = 1 mu subscript x baseline = 2, sigma subscript x baseline = 0.56 mu subscript x baseline = 3, sigma subscript x baseline = 0.75 mu subscript x baseline = 3, sigma subscript x baseline = 0.87
Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:
[tex]\mu = 3, \sigma = 0.87[/tex]
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem, we have that the parameters are given as follows:
n = 4, p = 0.75.
Hence the mean and the standard deviation are given as follows:
E(X) = np = 4 x 0.75 = 3.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87[/tex]More can be learned about the binomial distribution at https://brainly.com/question/24863377
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30,098 in standard form
30,098 to four significant figures
Are the equations 1/2x-8=9 and x-8=18 equivalent?
Answer:
not equivalent
Step-by-step explanation:
solve for x to see if they are equivalent
1/2x-8=9 and x-8=18
1/2x=17
x=34
x-8=18
x = 36
no they are not equivalent
I'm pretty sure it is, but it just seems so onesided so I wanted to make sure, is this correct?
Please solve (30 points)
A real life example of an acute angle is the angle that's made in letter V.
What is a acute angle?It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.
In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.
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Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $310.00.
Invested at 2%___?
Invested at 7%___?
Answer:
2 % amount = 12000 7% amount = 1000 dollars
Step-by-step explanation:
x = 2% amount
then 13 000 - x = 7% amount
.02x + .07 (13000-x) = 310
-.05x + 910 = 310
.05x = 600
x = 600/.05 = 12000 then the 7% amount is 1000
Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.
With the mean and range, we can estimate the weights of the smallest and largest animals in each group.
For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]
Which conclusions can be made with the given information?
We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.
From that, we can conclude with some confidence (but not exactly), that the largest cat weights 4kg + 0.5kg/2 = 4.25kgAnd the smallest cat weights 4kg - 0.5kg/2 = 3.75kg(Assuming a normal distribution).
Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:
The largest dog weights 32kg + 45kg/2 = 54.5kgThe smallest dog weights 32kg - 45kg/2 = 9.5kg(again, assuming a normal distribution).
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What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x
The equation of the graphed function is given as follows:
g(x) = (1/7)^x - 4.
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The parent function for this problem is given as follows:
f(x) = (1/7)^x.
(which has an asymptote at y = 0).
The function was shifted down 4 units, meaning that the translated function is given as follows:
g(x) = (1/7)^x - 4.
And the correct option is given by the first option.
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Which equation has the solution x=4?
Answer: Option C is correct.
Part A
⇒ 4x = 20
⇒ x = 20/4
⇒ x = 5
Part B⇒ x/2 = 8
⇒ x = 8(2)
⇒ x = 16
Part C⇒ x + 8 = 3x
⇒ 3x - x = 8
⇒ 2x = 8
⇒ x = 4
Part D⇒ x = (x + 5)/2
⇒ 2x = x + 5
⇒ 2x - x = 5
⇒ x = 5
Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her
destination. On the return journey home, she travels a total of 5 hours.
Determine the speed of the car that Astrid will travel to get home.
Answer:
[tex]\huge\boxed{\sf Speed = 77\ km/hr}[/tex]
Step-by-step explanation:
Formula to be used in the question:Speed = Distance / TimeDistance for the first 2 hours:= 130 km
Distance for the next 3 hours:Speed = 85 km/h
Time = 3 hours
So,
Distance = Speed × Time
Distance = 85 × 3
Distance = 255 km
So,
Total distance from home to destination:= 130 + 255
= 385 km
Speed on the return journey:Total distance = 385 km
Time = 5 hours
Speed = Distance / Time
Speed = 385 / 5
Speed = 77 km/hr
[tex]\rule[225]{225}{2}[/tex]
Think about triangles that have
a perimeter of 15cm,
two or more equal sides,
and each side a whole number of centimetres.
Prove that there are only four of these triangles. i
In order to prove that there are only four of these triangles, we need to first restate the formula for the perimeter of a triangle which is given as: P = a + b + c. Hence, we must identify all the triangles that have two or more equal sides, and each side is a whole number.
What is the proof?
Step 1 - First, we state all the possible combination three whole numbers which when added together result in fifteen.
The numbers are given as:
1 1 132 2 113 3 94 4 75 5 56 6 37 7 1Step 2 - Eliminate options where a side is more than the sum of the other two sides
Hence,
are eliminated. The remaining triangles are four in number.
QED.
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PLEASE HELP ASAP <3
Evaluate: 23+x/8 for x = 8
O 24
O 3.875
O 20
O 18
Answer:
Your first step would be to rewrite the equation, were x =8 so it would look like this
Step-by-step explanation:
23 + 8/8 = ?
than solve. 8/ 8 = 1 and 23+1 = 24
Find the equation of the line through the points (-2,4) and (3,-5) using point-slope form. Then rewrite the equation in slope-intercept form.
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{-5 -4}{3 +2}\implies \cfrac{-9}{5}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{9}{5}}(x-\stackrel{x_1}{(-2)})\implies y-4=-\cfrac{9}{5}(x+2) \\\\\\ y-4=-\cfrac{9}{5}x-\cfrac{18}{5}\implies y=-\cfrac{9}{5}x-\cfrac{18}{5}+4\implies y=-\cfrac{9}{5}x+\cfrac{2}{5}[/tex]
What is the base in the expression 4^5
4
5
9
20
PLS ANSWER FAST !!
Answer:
The answer is 4
Step-by-step explanation:
The base of 4^5 is 4. The exponent is 5 and 9 & 20 do not work as we are not multiplying 4 and 5 to get 20.
A trellis consists of overlapping wooden slats.
1.What is the position of the indicated angles?
2.What should the value of x be in order for the two slats to be parallel?
3. Which theorem or postulate will you use to prove the parallel slats?
4. Find the measure of the indicated angle.
The value of x in order for the two slats to be parallel is 6.
The measure of the indicated angle is 42°
What is an angle?
The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.
For the slats to be parallel. both the given angles must be equal
So,
(3x +24)° = 7x°
Solving this expression, we get
7x -3x = 24
4x =24
x = 6°
The measure of the indicated angle is
(3x +24)° = 3x6 +24
(3x +24)° = 18+24
(3x +24)° =42°
and 7x = 7x6 =42°
Thus, the measure of the angle is 42°
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2x-y=7
x+y=5
Use elimination
In other words, x = 4 and y = 1
==============================================
Explanation:
Add the equations straight down.
The x terms add to 3x because 2x+x = 3xThe y terms go away when you add them since -y+y = 0y = 0The terms on the right hand sides add to 7+5 = 12After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.
Use this x value to find y.
2x-y = 7
2(4)-y = 7
8-y = 7
-y = 7-8
-y = -1
y = 1
or
x+y = 5
4+y = 5
y = 5-4
y = 1
Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.
Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.
Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.
Can anyone help me solve this?
Answer:9
Step-by-step explanation:
Use the pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]
We know both a and c, so it becomes
[tex]4^{2}+b^{2}=\sqrt{97}^{2}[/tex]=
16+b^2=97=
97-16=b^2=
81=b^2=
9=b
[100 POINTS] Find the values of x, y, and z.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
x and y are values that represent the angle made by respective arcs on centre of the circle
that is :
x = 20°Here, Angle x + Angle z = 180°
[ because they form linear pair ]
z + x = 180z = 180 - xz = 180 - 20z = 160°Now, we can observe that angle made by Arc Y is equal to :
y = z + x = 160° + 20° = 180°helppppppppppppppppp pleaseeeeeeeeeeee
help me please, i need an answer asap
Answer:
answer is A - library books by genre and by Adult or Child
Step-by-step explanation:
your column on the left will have different genre of books
your top column will have children or adults
What are the coordinates of the vertices of the image?
Translate the shape A four squares right and two squares down.
Answer:
see explanation
Step-by-step explanation:
a translation of 4 squares right means add 4 to the x- coordinate
a translation of 2 squares down means subtract 2 from the y- coordinate
then
(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )
(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )
(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )
Tanya and tim clean the house in 3 hours their 3 children at the same 6 hours
how long would it take to clean the whole house if they did it together?
It will take them exactly 4hours 48 minutes.
what is rate?Rate is a measure of a given quantity against a known or standard quantity.
Analysis:
If Tanya and Tim cleaned the house in 3 hours. Then either of them would clean the house in 2 x 3 = 6 hours.
If their 3 children cleaned the house in 6 hours, then each child would clean the house in = 3 x 6 = 18 hours
Total time for cleaning the house = 18 hours + 6 hours = 24 hours
If the five people were to do it at once then time taken to clean the house = 24/5 = 4.8 hours = 4 hours 48 minutes
In conclusion, the time for 5 people to clean the house is 4 hours 48 minutes
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A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.
What is the length of the bedroom in the scale drawing?
Drag and drop a number to correctly complete the statement.
Given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.
What is the length of the bedroom in the scale drawing?Scale factor is simply a measure for similar figures, who look the same but have different scales or measures.
To get new dimension;
New dimension = scale factor × current dimension
Given that;
Current length of the bedroom = 9ftCurrent width of the bedroom = 11ftScale factor = 112New length of the bedroom = ?New dimension = scale factor × current dimension
New length of the bedroom = 112 × 9ft
New length of the bedroom = 1008ft
Therefore, given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.
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PLEASE HELP QUICK :(
Answer:
A
Step-by-step explanation:
Thats how the mean works lol
10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3
Answer:
1.4375
Step-by-step explanation:
[tex]\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\[/tex]
[tex]\frac{10 + (6)^{2} /4}{8} \\[/tex]
[tex]\frac{10 + 36 / 4}{8} \\[/tex]
[tex]\frac{46 /4}{8} \\[/tex] = [tex]\frac{11.5}{8} \\[/tex]
11-8(12+6)÷6²
pls answer right :)
Answer: The answer is 7
I did the math
Answer:
7
Step-by-step explanation:
11 - 8(12 + 6) / 6²
Rearrange using the order of operations.
11 - ((8 * (12 + 6)) / (6²))
((8 * (12 + 6)) = 144
(6²) = 36
(6²) / 144 = 4
(11 - 4)
= 7
1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. This is because the train is our _____
2. Scientists use the ______
system for making measurements.
3. Physical science studies the relationships between ____,____,
and ______.
4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?
5. For most activities, the ___
makes a handy frame of reference.
On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. While traveling in a train, it appears that the trees near the track are moving whereas co-passengers appear to be stationary.
How to explain the measurements?When measuring, scientists use a shared system of measurement, called the International System of Units (SI). Physical science is concerned with the study of natural but non-living objects.
If 6 tyrannosaurs weigh 30,000 kg, the weight of one tyrannosaur will be;
= 30000/6
= 5000kg
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Please someone help me with this
Answer:
Option c
Step-by-step explanation:
Since tangent = op/adj, in this case the tan37 would be x/1000.
Then, set it up as an algebra problem.
tan37 = x/1000
Multiply both sides by 1000, so 1000tan37=x
that simplifies to x = 753.6
help please! will give brainle giving 20 points love !
Answer:
D. 75%
Step-by-step explanation:
100% - 25% = 75%
Answer:
D. 75%
Step-by-step explanation:
If 25% get into an accident then how many teenagers don't? :
100% - 25% = 75%
Have a great day! :)
If f(x)=2(3x-5) when f(x) =74,what is the value of x??
Answer:
x = 14
Step-by-step explanation:
given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives
2(3x - 5) = 74 ( divide both sides by 2 )
3x - 5 = 37 ( add 5 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14