Answer: Option d: -3*x^4*y + 2*x^2*y^2 + 5*y^3
Step-by-step explanation:
In standard form, the first term of the polynomial must be the term with the highest degree and on each subsequent term the degree decreases. In the case of two variables, the degree is equal to the sum of the exponents.
Then the correct option is d.
Where the degree of the first term is (4 + 1) = 5
The degree of the second term is (2 + 2) = 4
The degree of the third therm is 3.
We can see that the degree decreases as the term number increases, then the polynomial written in standard form is:
-3*x^4*y + 2*x^2*y^2 + 5*y^3
find the missing values please show steps on how to do it
First, let's remember the exact value of the sine and cosine of 45°. If we have a right triangle with sides 1 and hypotenuse sqrt(2), then we have:
Then, we have the following values for the sine and cosine of 45°:
\(\begin{gathered} \sin (45)=\frac{\text{opposite side}}{hypotenuse}=\frac{1}{\sqrt[]{2}} \\ \cos (45)=\frac{\text{adjacent side}}{hypotenuse}=\frac{1}{\sqrt[]{2}} \end{gathered}\)We can find the values of x and y using the trigonometric functions sine and cosine:
\(\begin{gathered} \sin (45)=\frac{\text{opposite side}}{hypotenuse} \\ \Rightarrow\sin (45)=\frac{x}{24} \\ \Rightarrow\frac{1}{\sqrt[]{2}}\cdot24=x \\ \Rightarrow x=(\frac{24}{\sqrt[]{2}})\cdot(\frac{\sqrt[]{2}}{\sqrt[]{2}})=\frac{24\cdot\sqrt[]{2}}{2}=12\sqrt[]{2} \\ \cos (45)=\frac{\text{adjacent side}}{hypotenuse} \\ \Rightarrow\cos (45)=\frac{y}{24} \\ \Rightarrow y=24\cdot(\frac{1}{\sqrt[]{2}})=12\sqrt[]{2} \end{gathered}\)therefore, the values for x and y are:
\(\begin{gathered} x=12\sqrt[]{2} \\ y=12\sqrt[]{2} \end{gathered}\)In a class of 50 students, on average, 10 will be left-handed. If a class includes 15 "lefties", estimate how many students are in the class.
The class has approximately students.
Answer: approximately 75
Step-by-step explanation: We know that 10 is 1/5 of 50, so I multiplied 15 x 5 and got 75.
The boat rental company gave a rowing team a discount of $10 off for every
4 days of rental. The team rented a boat for 12 days. Their coach paid 35%
of the total discounted rental cost. The remaining rental cost was divided
equally among the 16 team members.
Determine the total cost for the team to rent a boat,
Determine the cost per team member
Part a: total discounted rental cost for the boat = $690.
Part b: cost per team member = $32.34
Explain about the linear equation?A two-variable linear equation can be thought of as a linear relationship involving x and y, or two variables whose values rely on each other (often y and x) (usually x).
From the graph:
Part a: Rental cost for boat for 3 days is 180.
For 1 day = 180/3 = 60.
So,
Total cost for the team to rent a boat for 12 days:
total discounted rental cost = 12*60 - 12/4 *10
total discounted rental cost = $720 - $30
total discounted rental cost = $690
Part b: cost per team member
total discounted rental cost = 35% paid by coach.
remaining 75% is equally divided in all 16 team members.
Then,
cost per team member = 0.75*690 / 16
cost per team member = $32.34
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Complete question
The boat rental company gave a rowing team a discount of $10 off for every
4 days of rental. The team rented a boat for 12 days. Their coach paid 35%
of the total discounted rental cost. The remaining rental cost was divided
equally among the 16 team members.
Determine the total cost for the team to rent a boat,Determine the cost per team memberThe table for the data is shown.
eight hundred twenty nine and six tenths as a decimal
Emily buys a toaster during the sale off for 10% off if ellen pays 36$ what was the original price
Answer:
100%-10%=90%
90%=36$ what about 10%=4$
36$+4$=40$
What is the slope of the line below?
(-4,6)
(1, -9)
Answer:
-3
Step-by-step explanation:
Slope = \(\frac{y_{2} -y_{1}}{x_{2} - x_{1} }\)
slope = 6 - -9/ -4 - 1
slope = 15 / -5
slope = -3
The swimming pool in a leisure centre is shown below.
The length of the
swimming pool is 25m and the width is 12m
The depth of the shallow end is 1m and the depth of the deep end is 2.4m.
Given Im - 1000 litres
Work out how much water, in litres, the swimming pool holds.
25m
12
Answer:
Step-by-step explanation:
L The table shows the age (measured in years) and weight (measured in kilograms) for a random sample of 5
children aged from birth to 18. Calculate the correlation for these data.
Answer:
Step-by-step explanation
I would say 90
Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?
Answer:
4
Step-by-step explanation:
(3+5+6+2+4) / 5 = ?
(20) / 5 = 4
14thousands+46hundreds+13tens+9 is what number?
Answer:
18,739
Step-by-step explanation:
14 thousands = 14,000. 46 hundreds = 4,600. 13 tens = 130. 9 = 9. You add them all up and get 18,739.
When we hear an echo we are experiencing which of the following characteristics of sounds waves
Answer:
diourfd
Step-by-step explanation:
Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Al’s dog breathed 130 times in 5 minutes. At this rate, how many breaths should his dog take in 60 minutes?
Answer:
1560 breaths
Step-by-step explanation:
130/5=26
26*60
1560 breaths
please answer all 3 questions
⦁ Calculate the residuals for your scatterplot in step 2d.
⦁ Create a residual plot for your data.
⦁ Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.
The residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
How to determine the residuals?The regression equation is given as:
y = 0.005x + 3.111
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.005 * 4 + 3.111 = 3.131
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 5 + 3.111 = 3.136
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 8 + 3.111 = 3.151
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 10 + 3.111 = 3.161
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 6 + 3.111 = 3.141
y = 0.005 * 6 + 3.111 = 3.141
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
y = 3.46 - 3.131 = 0.329
y = 2.78 - 3.126 = -0.346
y = 3.2 - 3.136 = 0.064
y = 2.8 - 3.126 = -0.326
y = 3.2 - 3.151 = 0.049
y = 2.9 - 3.186 = -0.286
y = 3 - 3.161 = --0.161
y = 3.4 - 3.186 = 0.214
y = 3.57 - 3.141 = 0.429
y = 3.2 - 3.141 = 0.059
Hence, the residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
See attachment for the residual plot.
The residual plot shows that the linear model from the regression calculator is a good model because the points are not on a straight line
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need answer, urgent.
Answer:
C
Step-by-step explanation:
sinA×cotA
= sinA×cosA/sinA
= sinA gets canceled out so,
=cosA
Work out the highest common factor (HCF) of 8 and 20.
Answer: The HCF of 8 and 20 is 4. The factors of 8 are 1, 2, 4, 8, and the factors of 20 are 1, 2, 4, 5, 10, 20.
Step-by-step explanation: Please give Brainlist.
Hope this helps!!!!
please help me !!! i will mark brain-list for the correct answer
Answer:
B
Step-by-step explanation:
So, first lets start of with what supplement means? Well, supplement of angle 1 really just means that angle 1 and 3 are supplementary angles.
What are supplementary angles?
They are angles that can be added up to 180 degrees.
Dont get these confused with complementary angles, which add up to 90 degrees.
So, now that we know this, lets solve for our angle 3.
We can use this to solve:
angle 1 + angle 3 = 180 degrees.
Now, we know that angle 3 is 64 degrees. Lets inlcude this in our equation:
angle 1 + 64 degrees = 180 degrees.
Now lets solve for angle 1:
angle 1 = 116
This is because we subtracted 64 from both sides to get angle 1 alone, and 180-64=116.
Now, lets look at the answers
A = 64 degrees
B = 116 degrees
C = 26 degrees
D = 128 degrees.
Now we know it must be B, since that answer is 116 degrees.
Hope this helps! :)
Which of the following is the equivalent expression for (x + 2)(x - 2)? LIKE PLS HELP
Chuck and holly are saving money to buy a car. Chuck has $500.00 already and is going to save $100.00 a month. Holly has $1000.00 and plans on saving 50 a month and it takes 10 months for their savings to equal. Write anequation
Answer:
500 + 100m = 1000 + 50m
Step-by-step explanation:
In order to form an equation we need atleast on variable which in this scenario would be the number of months (m). We can say that we know that sooner or later their savings will equal. Therefore, we can create the following equations for each of their savings progress which are equal to one another...
500 + 100m = 1000 + 50m
This equation if solved would give us the value of 10 for the variable m, meaning that their savings will equal in 10 months. To find out how much each will have in 10 months we can simply grab one half of the equation and substitute 10 for m
500 + 100(10) = x
500 + 1000 = x
1500 = x
Finally, we can see that after 10 months they would both have $1500 saved up.
on a tv game show,omar needs answer 7 out of every 10 questions correctly. There will be 30 questions in all
how can 3.7 = x +(-5) be solved for x in one step?
Answer:
Step-by-step explanation:
2 steps
3.7 = x +(-5) , add 5 to both sides
3.7+ 5 = x + (-5) +5
8.7 = x , combine like terms
or 1 step
3.7 = x +(-5), add 5 to both sides and combine like terms
8.7 = x
Find the slope of the line through the points (-4, 6) and (8,4).
I need help on this
Start with the slope formula.
m = y2-y1/x2 - x1
We take the second y minus the first y
over the second x minus the first x.
So we have 4 - 6/8 - -4.
This simplifies to -2/12 which reduces to -1/6.
Deondra has $420 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
• She buys a new bicycle for $236.31.
She buys 2 bicycle reflectors for $3.07 each and a pair of bike gloves for $34.75.
She plans to spend some or all of the money she has left to buy new biking outfits for $59.50 each .
Write and solve an inequality which can be used to determine o, the number of outfits Deondra can purchase while staying within her budget.
Step-by-step explanation:
rate the deck I will destroy anyone
please help me ......
Answer:B
Step-by-step explanation:
A high school robotics club sold cupcakes at a fundraising event.
They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.
Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?
x + 3y = 350
2x + 4= 625
Type your response in the box below.
$$
The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:
-5y = -375
1. Given equations:
- x + 3y = 350 (Equation 1)
- 2x + 4y = 625 (Equation 2)
2. Multiply Equation 1 by 2:
- 2(x + 3y) = 2(350)
- 2x + 6y = 700 (Equation 3)
3. Subtract Equation 2 from Equation 3:
- (2x + 6y) - (2x + 4y) = 700 - 625
- 2x - 2x + 6y - 4y = 75
- 2y = 75
4. Simplify Equation 4:
-2y = 75
5. To isolate the variable y, divide both sides of Equation 5 by -2:
y = 75 / -2
y = -37.5
6. Therefore, the resulting equation is:
-5y = -375
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the length is 3 inches less than twice the width and the permiter is 42 inches. Find dimensions
Answer:
Here
Step-by-step explanation:
length = x
width = 2x - 3
Perimeter = 2length + 2 width
2x + 2(2x - 3) = 42
2x + 4x - 6 =42
6x - 6 = 42
Add 6 to both sides
6x = 48
Divide both sides by 6
x = 8
Length = 8 inches
Width = 2(8) - 3 = 16-3 = 13 inches
On the dance decoration committee, there are 6 seniors, 4 juniors, and 5 sophomores. Of these learners, 4 seniors, 3 juniors, and 3 sophomores are male. One learner is picked at random to present the decoration plans to the principal.
What is the probability that the learner is a senior or a male?
Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:
p = 12/15 = 0.8 = 80%.
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Which pair shows equivalent expressions?
O 24x+2)-2x+1
O 2(3x+2)= x+4
o 21&x+4)= 4x+2
o 21
Answer:
Your answer is
\(2 (\frac{2}{5} x + 2) = \frac{4}{5} x + 4\)
x(x+3)(x+3)=0 Plz I need this fast!
Answer:
x=0,-3
Step-by-step explanation:
x(x+3)(x+3)=0
Using the zero product property
x=0 x+3=0 x+3 =0
x=0 x=-3 x=-3
An airline ticket costs $220. Jameson receives a 10% discount on the ticket but is also charged an 8.25% service fee. what is the discounted price of the ticket? What is the total cost of the ticket with the discount and service fee?
The discounted price of the ticket is $198.
The total cost of the ticket with the discount and service fee is $214.33.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given:
The cost of a ticket on an airline is $220.
And Jameson receives a discount of 10%.
To find the discounted price:
The discounted price = 220 - 220 x 10 / 100
The discounted price = $198.
And the service charge is 8.25%.
So, the amount of service charge,
= 198 x 8.25/100
= 16.33
The total cost of a ticket = $198 + $16.33 = $214.33
Therefore, the cost is $214.33.
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