Answer:
\(f(x)\cdot g(x)=x^3-2x^2-x+2\)Explanation:
Given f(x) and g(x) defined below:
\(\begin{gathered} f(x)=x^2-1 \\ g(x)=x-2 \end{gathered}\)The combination of f(x) and g(x) is obtained below:
\(f(x)\cdot g(x)=\lbrack x^2-1\rbrack\lbrack x-2\rbrack\)Next, expand the brackets and simplify:
\(\begin{gathered} =x^2\lbrack x-2\rbrack-1\lbrack x-2\rbrack \\ =x^3-2x^2-x+2 \\ \implies f(x)\cdot g(x)=x^3-2x^2-x+2 \end{gathered}\)what set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?
Answer: a) reflected over x-axis and reflected over y-axis
Step-by-step explanation:
Reflection over the x-axis changes the sign of the y-coordinate
Z = (x, y) → Z'(x, -y)
Reflection over the y-axis changes the sign of the x-coordinate
Z' = (x, -y) → Z''(-x, -y)
A = (-4, 1) → A'' = (4, -1)
B = (-3, 2) → A'' = (3, -2)
C = (-1, 2) → A'' = (1, -2)
D = (-2, 1) → A'' = (2, -1)
A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is “yellow (Y),” which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5625, 0.375, 0.0625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.75, 0.25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5, 0.375, 0.125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5, 0.25, 0.25.
Answer:
The first table is correct
Step-by-step explanation:
x=Yellow Prob
0 .5625
1 .375
2 .0625
The attached document shows a tree diagram with all 16 outcomes. Each outcome has probability 1/16.
The numbers at the right show the numbe of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).
There are 6 outcomes with 1 yellow (prob = 6/16)
There is 1 outcome with 2 yellow (prob = 1/16)
Sorry about the watermarks--distracting!
Based on the given set of values, we can note that the first table is correct
What is Probability?This refers to the calculations of the way an event is most likely to occur.
Hence, the table for x=Yellow Prob
0 .5625
1 .375
2 .0625
For each outcome, there is probability 1/16.
The numbers at the right show the number of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).
There are 6 outcomes with 1 yellow (prob = 6/16)
There is 1 outcome with 2 yellow (prob = 1/16)
Hence, because the calculated values are consistent with the values in the first table, then we can conclude that the first table is correct.
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Multipy 2/6 by 1/5
A) 2/15
B) 2/11
C) 1/15
D) 3/15
Answer:
\(\huge\boxed{\frac{1}{15} }\)
Step-by-step explanation:
\(\sf= \frac{2}{6} * \frac{1}{5} \\\\=\frac{2*1}{6*5} \\\\=\frac{2}{30} \\\\= \frac{1}{15} \\\\\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807Answer:
C
Step-by-step explanation:
\(\frac{2}{6}*\frac{1}{5}=\frac{1}{3}*\frac{1}{5} = \frac{1}{15}\)
Solve for q
1/p + 1/q= -1/f
where p + q = 3 and f=5
Please help me on this.
Please answer correctly! I need this to be correct otherwise I will fail the semester!
Answer:
i=35
Step-by-step explanation:
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = \(\dfrac{11!}{7!(11-7)!}\) × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.
Find each value of the function f(x).
f(-20)
Answer:
33 is the answer for this ez math
A race car traveled for 2 1/2hours with an average speed of 132 5/8 km per hour. Find the total distance it covered.
Answer: The total distance covered by the car is 331 9/16 km.
Step-by-step explanation:
We know that, speed= distance/time taken
Therefore, distance = speed x time taken
= 132 5/8 x 2 1/2
= 5/2 x 1061/8
= 5305/16
= 331 9/16 km
Therefore, total distance is 331 9/16 km.
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Given:
9a - 3b + c = -15
a-b+c= -3
4a + 2b + c = 5
Which of the following are points on the graph of the quadratic function (choose all correct answers)
(-1, -3)
(-3,-15)
(9-3)
(2,5)
standard notation 8.15×10^5
Answer:
8.15×10^5
Step-by-step explanation:
8.15×10^5
8.15×100000
815000
Which of the following values is closest to the variance for the set of datashown below?
SOLUTION:
Case: Variance
Method:
The given values:
99,78,56,11,43,22,16,31,49,28,37,29,30,38,34
First we find the mean:
\(\begin{gathered} \bar{x}=\frac{99+78+56+11+43+22+16+31+49+28+37+29+30+38+34}{15} \\ \bar{x}=\frac{601}{15} \\ \bar{x}=40.066667 \end{gathered}\)The variance is formula is given as:
\(\begin{gathered} s^2=\sum_{n\mathop{=}0}^n\frac{(x-\bar{x})^2}{n-1} \\ s^2=\frac{SS}{15-1} \\ s^2=\frac{7506.9331}{14} \\ s^2=536.20952 \end{gathered}\)Final answer: Option (A)
Variance = 536.2
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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Find the equation of the line which passes through (0, 7) at a gradient of 3.
Answer:
y = 3x + 7
Step-by-step explanation:
Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7
So, y-intercept (b) = 7
Gradient (or slope m) = 3
Equation of line in slope intercept form is given as:
y = mx + b
Plugging m = 3 and b = 7 in the above equation, we find:
y = 3x + 7
This is the required equation of line.
Tammy owns a laptop computer she paid $1,200 for about two years ago. Today, she
thinks she could sell it for about $700. She also has a car worth $2,900 on which she still
owes $800 and that will be paid off next year. How much is her net worth?
Answer:
\(Net\ Worth = \$2800\)
Step-by-step explanation:
Net worth is calculated using;
\(Net\ Worth = Assets - Debts\)
In this question, we have:
\(Laptop = \$1200\) --- 2 years ago
\(Laptop = \$700\) --- presently
\(Car = \$2900\)
\(Debt = \$800\)
Only the current worth of the laptop will be considered;
So, we have:
\(Assets = Laptop + Car\)
\(Assets = \$700 + \$2900\)
\(Assets = \$3600\)
\(Net\ Worth = Assets - Debts\)
\(Net\ Worth = \$3600 - \$800\)
\(Net\ Worth = \$2800\)
Tammy's net worth from the laptop computer and car is $2600
Cost of the laptop computer two years ago = $1200
Worth of the laptop computer today = $700
Laptop Asset = $1200 - $700
Laptop Asset = $500
Car worth = $2900
Tammy still owes $800 on the car
Debt = $800
Car Asset = $2900 - $800
Car Asset = $2100
Tammy's net worth = Laptop Asset + Car Asset
Tammy's net worth = $500 + $2100
Tammy's net worth = $2600
Tammy's net worth is $2600
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Q5. Asif is 5 years younger than Qasim. Four years later, Qasim will be twice as old as
Asif. Find their present ages.
Answer:
Age of Qasim = 6 year
Age of Asif = 1 year
Step-by-step explanation:
Let :
Age of Qasim = x
Age of Asif = x -5
After 4 years there age will be:
Age of Qasim = x+4
Age of Asif = x-5+4 = x-1
We are given: Four years later, Qasim will be twice as old as Asif.
Age of Qasim = 2 (Age of Asif)
x+4=2(x-1)
x+4=2x-2
2x-x=4+2
x=6
So, We get x = 6
The present ages will be:
Age of Qasim = x = 6 year
Age of Asif = x -5 = 6-5 = 1 year
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The pie chart below shows how the annual budget for the Associated Manufacturers Company is divided by department. Use
this chart to answer the questions below.
(a) Which department accounts for approximately one-fourth of
the annual budget?
Select One
Sales
(b) Approximately what percentage of the annual budget is used
for Engineering and Support combined?
Research
Write your answer as a multiple of 10% - that is, 10%, 20%,
30%, ...
Marketing
Media
Engineering
(c) If 15% of the annual budget is used for Support,
approximately what percentage is used for Media?
O 2%
5%
O 33%
X
5
Support
45%
?
The departments that account for one-fourth of the annual budget are sales, engineering and research departments
The department that shows one-fourth of the annual budget?The pie chart that completes the question is added as an attachment.
From the attached image, we can see that each of the sales, engineering and research departments take 1/4 of the pie chart
Hence, the departments that account for one-fourth of the annual budget are sales, engineering and research departments
Annual budget of engineering and support combinedIn (a), we have:
Engineering = 1/4 or 25%
From the graph
Support = 1/8 or 12.5%
So, the combined percentage is:
Combined = 25% + 12.5%
Evaluate
Combined = 37.5%
Approximate
Combined = 40%
Annual budget of engineering and support combinedIn (a), we have:
Engineering = 1/4 or 25%
From the graph
Support = 1/8 or 15%
So, the combined percentage is:
Combined = 25% + 15%
Evaluate
Combined = 40%
Annual budget of mediaFrom the graph;
Media = 1/3 of support.
So, we have:
Media = 1/3 of 15%
Evaluate
Media = 5%
Hence, the annual budget of media is 5%
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Create a large number line on the floor. Start at zero and walk to 5. Count each unit as you walk. Now start at zero and walk to -5. What do you notice about the distance you traveled?
Answer:it’s the same distance traveled each way
Step-by-step explanation:
U go 5 steps to 5 and you go 5 steps to -5. Since it doesn’t ask HOW you r walking and only about the distance then they r both the dame
Which expression is equivalent to (2x – 5)(x + 9)?
Answer:
\(2x^{2} +13x-45\)
Step-by-step explanation:
By using FOIL method.
A certain forest covers an area of 2500km2 . Suppose that each year this area decreases by 9% . What will the area be after 11 years? Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
DJ and I was wondering if you could send me a copy of the receipt k NVM I have to go to the leaf blower and I was wondering if you could send me a copyg to be there at the same time I don't have a great day
● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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Which of (3, 5), (4, 6), (5, 7), and (6, 8) are solutions to y = x + 2?
O(3, 5) and (4, 6)
O(4, 6) and (5, 7)
Onone
O all
All of them would be the answer.
What is the basic component of solving an equation?The left side and right side of every equation should be equal. It is essential that both parties are on an even playing field. An equation must contain the following elements: coefficients, variables, operators, constants, terms, expressions, and an equals sign. Any one, some, or all of these terms may circle the equal sign in an equation.
Rule of Thumb for Equation Solving:
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.Here, we will put the values of x and y coordinates in the equations:
5=3+2
6=4+2
7=5+2
8=6+2
Hence, the right and left side of the equation is equal.
Thus, all of them are correct answers. It would just be all of them.
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help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
41/200
This is solved and put in standard form
what factors you think determines more earthquakes will occur in an area
Answer:
Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.
The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place
Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.
) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negations of the given statements with the application of De Morgan's law and/or conditional law.
a) ∃x (¬P(x) ∨ ¬R(x))
De Morgan's law:
∃y ∀z(¬P(y) ∧ ¬Q(z))
b) ∃y ∀z(¬P(y) ∧ ¬Q(z))
The double negation:
∃y ¬∃z(P(y) ∨ Q(z))
c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
The conditional law:
¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:
a) ∀x (P(x) ∧ R(x))
The negation of this statement is:
∃x ¬(P(x) ∧ R(x))
Now let's apply De Morgan's law:
∃x (¬P(x) ∨ ¬R(x))
b) ∀y∃z(¬P(y) → Q(z))
The negation of this statement is:
∃y ¬∃z(¬P(y) → Q(z))
Using the conditional law, we can rewrite the negation as:
∃y ¬∃z(¬¬P(y) ∨ Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negation of this statement is:
¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
Using the conditional law, we can rewrite the negation as:
¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))
Applying De Morgan's law:
¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))
Simplifying the double negation:
¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))
Using De Morgan's law again:
¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))
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on one side of the balance scale, Henry placed gram weight. on the other side of the scale, he placed a ballet slipper. how many milligrams does the slipper weigh?
Solution
Step 1
Convert gram to milligram
1 gram = 1000 milligram
Step 2
Find the answer
Assuming it is 1 gram weight on one side of the balance scale then, the ballet slippers will weigh 1 gram for the scale to be balanced.
I gram = 1000 milligram
Hence the ballet slippers will weigh 1000 milligrams
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
Using Figure 4, complete these functions.
sin theta =
-21/29
-20/29
20/29
21/29
Answer:
D. 21/29Step-by-step explanation:
Formulas used:
sin θ = sin (180 - θ)sin θ = opposite/hypotenuseOpposite:
y- coordinate of given point = 21Hypotenuse:
√x²+y² = √20²+21²= √841 = 29Then
sin θ = 21/29Correct choice is D
Will mark brainlist Will mark brainlist Will mark brainlist Will mark brainlist Will mark brainlist Will mark brainlist Will mark brainlist
Answer:
A
Step-by-step explanation:
A= 125
Step-by-step explanation:
in a triangle all angles add up to 180
Do 180-55= 125
hope this helps :)
Gabriel's father has a garden in the back yard. The dimensions of the garden are shown here.
A green rectangle is shown. The width is labeled as 2 and two-thirds feet. The length is labeled as 7 and three-fourths feet.
Part A
Calculate the area of the garden. Show at least one step before you show your solution.
Part B
You found the area of the garden in Part A. Explain briefly, without doing any calculations, how you would find
5/6 of this area.
The Area of Garden is 62/3 feet².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area. Square units like cm² and m² are used to measure area. A shape's area is a two-dimensional measurement.
Given:
Length = 7 3/4 feet = 31/4 feet
Width = 2 2/3 feet = 8/3 feet
So, Area of Garden
= l w
= 31/4 x 8/3
= 62/3 feet²
and, Now, 5/6th of the Garden
= 62/3 x 5/6
= 31 / 3 x 5 / 2
= 155 / 6 feet²
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