Expand the polynomial (x + y)7 and write the coefficients of the terms.
Answers
Answer:
7x+7y siuuuuuuuuuuuuuuuuu
Related Questions
18. Consider the following regression equation: Y = 30 + 8X. If
SSE = 600 and SS Total = 1,200. Compute the correlation
coefficient.
Answers
Answer: 0.7071
Step-by-step explanation:
The first thing to do is to calculate the R² which is the coefficient of determination. This will be:
= 1 - SSE/SS Total
= 1 - 600/1200
= 1 - 0.5
= 0.5
Then, the correlation coefficient will be:
= ✓0.5
= 0.7071
30
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining
eggs were white in color. Which equation can be used to solve for w, the number
of white eggs used last week?
A 231 +46w=0
B 46+ w = 231
C w = 231 +46
D 231 = 46w
Answers
D 231 = 46w can be used to solve for w, the number of white eggs used last week.
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
Answers
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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pls answer im dying here
Answers
Answer: A rotation followed by a reflection. The two figures are congruent because (I'm not sure about this one because I don't know the options that the drop-down menu provides.)
At 5pm, Li rented bikes from Pearl's
Wheels. She returned the bike at 11pm, after
riding 38 miles: Li paid $26.00 for the
rentals
a. What was her average speed in miles per hour?
b. What was her cost per hour, to the nearest cent?
c. What was her cost per mile, to the nearest cent?
Answers
Answer:
(a) 6.33 miles per hour
(b) $4.33 per hour
(c) $0.68 per mile
Step-by-step explanation:
Li drove 6 hours (5pm - 11pm) for a total of 38 miles
\(\textrm{(a) Her average speed is determined by the formula}\\\\\dfrac{\textrm{Distance Travelled}}{\textrm{Time taken for travel}}\)
\(\textrm{So average speed }=$\dfrac{38}{6} = 6.33$ \;\textrm{miles per hour}}\\\\\)
(b) She paid $26 for 6 hours of usage
\(\textrm{So cost per hour } = \dfrac{26}{6} = \$4.33\;\textrm{per hour}\\\\\)
(c) Cost per mile, c, can be computed as follows
\(c = \dfrac{\textrm{Total Cost}}{\textrm{Miles Traveled}}\)
\(\longrightarrow \dfrac{26}{38} = \$0.68\; \textrm{per mile}\)
6(x-2)≥-5+5x+6 solve and explain please thanks
Answers
The value of the inequality is x ≥ 3/7
What is inequality?The relationship between two values that are not equal is defined by inequalities. When two terms are not equal, they can either be:
greater than >
less than <
greater than or equal to ≥
less than or equal to ≤
6(x-2)≥-5+5x+6
12x-2 ≥ 5x + 6-5
collect like terms
12x -5x ≥ 6-5+2
7x ≥ 3
divide both sides by 7
x ≥ 3/7
therefore the value of the inequality is x ≥ 3/7
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Last edit was seconds ago Format Slide Arrange Tools Add-ons Help Accessibility Background Layout- Theme Transition {(-1,5),(-2,2), (-3,0)} CARD SORT {(-2,0).(-4,2), (-6,0)} Linear Non-Linear {(-1,4), (-2,2), (-3,0)} {(-2,-1),(0, -2).(-2,-3)} {(2,1),(4,3), (6,5)} {(2,3), (2,2),(1,1)) CARD SORT: ORDERED PAIRS
Answers
Answer: We have to find if the ordered pairs are linear or non-linear.
\((-1,5)\text{ (-2,2) (-3,0)}\)Linear equations are of the form:
\(y(x)=mx+b\)where:
\(\begin{gathered} m=\frac{\Delta y}{\Delta x} \\ b=y-\text{intercept} \end{gathered}\)If we plot these three coordinate points, we get the following.
According to this graph, the points do seem to be on the same line:
Confirmation through the equation of the line:
\(\begin{gathered} y(x)=mx+b \\ \therefore\rightarrow \\ m=\frac{\Delta y}{\Delta x}=\frac{2-0}{-2--3}=2 \\ \\ \rightarrow \\ 0=2(-3)+b\rightarrow b=6 \\ \therefore\rightarrow \\ y(x)=2x+6 \end{gathered}\)Plotting the equation on the same graph:
Therefore, we can conclude that these three points are not-linear because only two points lie on the same line.
Confirmation through algebraic approach would be as follows:
• Find slope and y-intercept from any two points
• And, confirm the resultant equation with the three coordinate points
The above steps will ensure the answer.
1. Estimate the area of the irregular shape. Explain your method and show your work.
2. The coordinates of the vertices of △LMN are L (-2, 4), M (3, -1), and N (0, -4). Determine whether △LMN is a right triangle and support your decision. Show all work.
3. The coordinates of the vertices of quadrilateral PQRS are P (-6, 2), Q (-1, 4), R (2, 2), and S (-3, 0). Alexandra states that quadrilateral PQRS is a parallelogram. Prove or disprove Alexandra’s statement. Show all work.
Answers
Answer:
Step-by-step explanation:
1. Do not see a figure, and unsafe to download and execute .docx.
2. Vectors LM<5,-5>, NM<3,3>, NL<2,-8>
Since LM.NM = 15-15 = 0, LM and NM are orthogonal, hence the given points form a right triangle.
3. A parallelogram has opposite sides parallel.
Slope PQ = (4-2) / (-1 - -6) = 2/5
Slope RS = (2-0) / (2- -3) = 2/5
Therefore PQ || RS
Slope PS = (2-0)/(-6- -3) = -2/3
Slope QR = (4-2)/(-1 -2) = -2/3
Therefore PS | QR
Since opposite sides are parallel, PQRS is a parallelogram
Answer:
Step-by-step explanation:
1. There are 31 complete are almost complete squares.
Top line is about 3.5 squares
Right side is about 1.8
Bottom about 3.5 and left side about 1.2.
Total approximately 41 square units.
2. If it is a right triangle then 2 sides will be perpendicular.
Slope of LM = (-1-4)/(3 +2 = -1
Slope of MN = (-4+1)/ -3 = -3/-3 = 1.
So as the product of the slope = -1 * 1 = -1 the angles between LM and MN is a right angle and LMN is a right triangle.
Four pounds of almonds cost $30, 7 pounds of almonds cost $52.50, and
12 pounds of almonds cost $90. Which equation gives the total cost y of
x pounds of almonds?
Answers
That is because the four pounds of almonds divided by thirty dollars is 7.50. So if you were to add one more pound of almonds, you would have to pay $7.50 more.
Evaluate the expression for u=10
Answers
Answer:
-7
Step-by-step explanation:
Evaluate the expression for u=10. Subsitute u for 10 and substract it by 17. 10-17= -7
Your answer is -7
Answer:
the answer is negative seven
6. Explain what must occur to the parent
function f(x) = x² to transform the
function to g(x) = (x-4)² +2.
Answers
Answer:
4 units right, 2 units up
Step-by-step explanation:
For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).
given the following matrices, if possible, determine 3A - 2B. if not, state “not possible”
Answers
Given:
\(A=\begin{bmatrix}{-1} & {-2} & \\ {-6} & {7} & {}\end{bmatrix},B=\begin{bmatrix}{0} & {10} & \\ {-8} & {6} & {}\end{bmatrix}\)Perform the matrix operations,
\(\begin{gathered} 3A-2B=3\begin{bmatrix}{-1} & {-2} & \\ {-6} & {7} & {}\end{bmatrix}-2\begin{bmatrix}{0} & {10} & \\ {-8} & {6} & {}\end{bmatrix} \\ 3A-2B=\begin{bmatrix}{-3} & {-6} & \\ {-18} & {21} & {}\end{bmatrix}-\begin{bmatrix}{0} & {20} & \\ {-16} & {12} & {}\end{bmatrix} \\ 3A-2B=\begin{bmatrix}{-3-0} & {-6-20} & \\ {-18+16} & {21-12} & {}\end{bmatrix} \\ 3A-2B=\begin{bmatrix}{-3} & {-26} & \\ {-2} & {9} & {}\end{bmatrix} \end{gathered}\)Answer:
\(3A-2B=\begin{bmatrix}{-3} & {-26} & \\ {-2} & {9} & {}\end{bmatrix}\)0.54478x52.11055.6= i need the sum
Answers
Answer: the correct answer is 28.32272269768
Baby shark uwu
Do do do do do do do 28.388?
a digital camera that cost #49 was sold on ebay for 3/7 for the original price.what was the selling price
Answers
Answer: 20.99
Step-by-step explanation: you multiply by 0.428571 which is 3/7
If you help me I will give u microwaved hamster
Answers
Answer:
if your suppose to be adding the fractions it will be 11 over 12
Sum of two numbers is -32 what number is two less than the other
Answers
First no. = z
Second no. = z - 2
z + (z - 2) = -32
z + z - 2 = -32
2z - 2 = -32
2z = -32 + 2
2z = -30
z = -30/2
z = -15
First no. = -15
Second no. = -17
y is directly proportional to x^ . if y=12 when x=2 find, y when x=5
Answers
Answer:
The value of y = 30 when x = 5
Step-by-step explanation:
We know that when 'y' varies directly proportional to 'x', we get the equation
y ∝ x
y = kx
k = y/x
where k is called the 'constant of direct variation'.
We are given
y = 12 when x = 2
so substituting y = 12 and x = 2 in the equation
k = y/x
k = 12/2
k = 6
Thus, the value of k = 6
We have to determine the value of y when x = 5
so substitute x = 5 and k = 6 in the equation
y = kx
y = 6(5)
y = 30
Therefore, the value of y = 30 when x = 5
100 points for correct answer
Answers
Answer:
\(\dfrac{x}{3}+\dfrac{3}{y}\)
Step-by-step explanation:
Given fraction:
\(\dfrac{xy+9}{3y}\)
\(\textsf{Apply the fraction rule} \quad \dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}:\)
\(\implies \dfrac{xy}{3y}+\dfrac{9}{3y}\)
Rewrite 9 as 3 · 3:
\(\implies \dfrac{xy}{3y}+\dfrac{3 \cdot 3}{3y}\)
Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:
\(\implies \dfrac{x\diagup\!\!\!\!y}{3\diagup\!\!\!\!y}+\dfrac{\diagup\!\!\!\!3 \cdot 3}{\diagup\!\!\!\!3y}\)
\(\implies \dfrac{x}{3}+\dfrac{3}{y}\)
Point (-8,4) and point (7,4) what is the distance between the points
Answers
Answer:
15 units
because the y-coordinates are the same, simply take the absolute difference of the x-coordinates. |-8 - 7| = |-15| = 15
(we take the absolute difference because distance can never be negative)
hope this helps! <3
Your goal is to save $50. So far, you have saved $34. How much more money do you need to save? Write your answer as a rational number.
Answers
Answer:
You need to save $16 more dollars.
Step-by-step explanation:
If you add 16 to 34 you get 50.
Question Progress
"HOT PIZZA” is offering a 20% discount on all its pizzas.
Tim orders a pizza for the reduced price of £7.20
What was the original price of the pizza?
Answers
Answer:
the answer is £1.44
Step-by-step explanation:
hope this helps
Express in the form 1 : n , give n as a demical : 20 : 15
Answers
Answer:
1 : 0.75.
Step-by-step explanation:
15/20 = 0.75
So its 1 : 0.75
Answer:
1 : 0.75
Step-by-step explanation:
20÷20=1
15÷20=0.75
n=0.75
This really confuses me I'd appreciate your help
Answers
The given equation should be simplified using the Commutative Property and Associative Property of Addition as follows;
B. 12w + 3z + 6w
= 12w + 6w + 3z Commutative Property
= (12w + 6w) + 3z Associative Property
= 18w + 3z Add the coefficients.
What is the Associative Property of Addition?The Associative Property of Addition states that when three (3) numbers are added, the end result or outcome (output) would always be the same regardless of the way the numbers are grouped.
Generally speaking, a major difference between the Associative Property of Addition and the Commutative Property of Addition is that associative property of addition allows for the re-grouping of addends in different ways without causing a change in the outcome while the Commutative Property of Addition allows the addends to be re-ordered without causing a change in the outcome.
Next, we would simplify the given equation by applying these two (2) properties as follows;
12w + 3z + 6w
12w + 3z + 6w = 12w + 6w + 3z → Commutative Property of Addition.
12w + 3z + 6w = (12w + 6w) + 3z → Associative Property of Addition.
12w + 3z + 6w = 18w + 3z → Add the coefficients.
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(2x−6)+4(x−3)
Find the sum.
Answers
Answer:
6x - 18 or 6*(x - 3)
Step-by-step explanation:
Pull out like factors: 6x - 18 = 6 • (x - 3)
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Thanks!
14x + 6 = 2(5+7x) please help me
Answers
Answer:
14x+6= 10+14x
14x-14x= 10-6
x= 4
Step-by-step explanation:
x= 4
Question 9 of 60
Which symbol correctly compares the fractions below? 3/7 ? 4/14
O A. =
B. >
O C. <
OD. None of these are correct.
SUBMIT
Answers
Bug S Bug S and Bug F is fast. Both bugs start at 0 on a number line and move in the positive direction. The bugs leave 0 at the same time and move at constant speeds. Four seconds later, F is at 12 and S is at 8. When will F and S be 100 units apart?
Answers
Answer:
Let's call the speed of Bug F v_F and the speed of Bug S v_S. Since both bugs started at 0, we can express their positions at any time t as:
Position of Bug F = 12 + v_F * t
Position of Bug S = 8 + v_S * t
To find out when F and S will be 100 units apart, we need to find the time t at which their positions differ by 100 units. In other words, we need to solve the following equation:
|12 + v_F * t - (8 + v_S * t)| = 100
We can simplify this equation by expanding the absolute value and rearranging the terms:
|4 + (v_F - v_S) * t| = 100
Now we can split this equation into two cases:
Case 1: 4 + (v_F - v_S) * t = 100
In this case, we have:
v_F - v_S > 0 (since Bug F is faster)
t = (100 - 4) / (v_F - v_S)
Case 2: 4 + (v_F - v_S) * t = -100
In this case, we have:
v_F - v_S < 0 (since Bug S is faster)
t = (-100 - 4) / (v_F - v_S)
Since we're only interested in positive values of t, we can discard the second case. Therefore, the time at which F and S will be 100 units apart is:
t = (100 - 4) / (v_F - v_S)
t = 96 / (v_F - v_S)
We don't know the values of v_F and v_S, but we can use the fact that Bug F is at 12 and Bug S is at 8, four seconds after they started. This gives us two equations:
12 = 4v_F + 0v_S
8 = 4v_S + 0v_F
Solving these equations for v_F and v_S, we get:
v_F = 3
v_S = 2
Substituting these values into the equation for t, we get:
t = 96 / (3 - 2)
t = 96
Therefore, F and S will be 100 units apart 96 seconds after they start.
A boat traveled 189 miles downstream and back. The trip downstream took 9 hours. The trip back took 63 hours. Find the speed of the boat in still water and the speed of the current
Answers
The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.
To find the speed of the boat in still water and the speed of the current, let's follow these steps:
Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).
Step 2: Use the formula distance = time × speed to write two equations based on the given information.
Downstream: 9(x + y) = 189
Upstream: 63(x - y) = 189
Step 3: Simplify both equations:
Downstream: x + y = 21 (divide both sides by 9)
Upstream: x - y = 3 (divide both sides by 63)
Step 4: Solve the system of equations by adding the two simplified equations:
2x = 24
x = 12
Step 5: Plug the value of x back into either equation to solve for y:
12 + y = 21
y = 9
So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.
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math plzz help me because im in class now!
