The probability of flipping a coin and getting tails at least once in four flips is 15/16 or approximately 0.94. (option d).
To determine the probability of flipping a coin and getting tails at least once in four flips, we can use a probability table. The table shows all the possible outcomes of flipping a coin four times.
Flip 1 Flip 2 Flip 3 Flip 4
Outcome 1 H H H H
Outcome 2 H H H T
Outcome 3 H H T H
Outcome 4 H H T T
Outcome 5 H T H H
Outcome 6 H T H T
Outcome 7 H T T H
Outcome 8 H T T T
Outcome 9 T H H H
Outcome 10 T H H T
Outcome 11 T H T H
Outcome 12 T H T T
Outcome 13 T T H H
Outcome 14 T T H T
Outcome 15 T T T H
Outcome 16 T T T T
In the table, H represents heads, and T represents tails. There are 16 possible outcomes when flipping a coin four times. We can see that getting tails at least once is possible in 15 of these outcomes: Outcome 2, Outcome 3, Outcome 4, Outcome 6, Outcome 7, Outcome 8, Outcome 10, Outcome 11, Outcome 12, Outcome 14, Outcome 15, and Outcome 16.
Therefore, the probability of flipping a coin and getting tails at least once in four flips is the number of outcomes where tails appear at least once divided by the total number of outcomes, which is 15/16 or approximately 0.94. (option d).
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Which proportion is correct?4/10=3/61/2=7/81/2=3/64/10=7/8
Determine which proportion is correct, we will compare the cross products of each proportion. The correct proportion will have equal cross products. The correct proportion is 1/2 = 3/6.
1. 4/10 = 3/6
To check this proportion, we'll calculate the cross products:
(4 * 6) = (10 * 3)
24 = 30
Since 24 ≠ 30, this proportion is incorrect.
2. 1/2 = 7/8
To check this proportion, we'll calculate the cross products:
(1 * 8) = (2 * 7)
8 = 14
Since 8 ≠ 14, this proportion is incorrect.
3. 1/2 = 3/6
To check this proportion, we'll calculate the cross products:
(1 * 6) = (2 * 3)
6 = 6
Since 6 = 6, this proportion is correct.
4. 4/10 = 7/8
To check this proportion, we'll calculate the cross products:
(4 * 8) = (10 * 7)
32 = 70
Since 32 ≠ 70, this proportion is incorrect
So, the correct proportion is 1/2 = 3/6.
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The volume of this rectangular prism is 216 cubic inches. What is the value of L?
After leveling the sand box, the height of the sand box is 1.57 in
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of a cuboid is expressed as;
V = l × w × h
V = 30 × 20 × 5
V = 3000 in³
After leveling, the volume decreases by 1680 in³, therefore the new volume of the sand box is
3000-1680 = 1320
Therefore the new height of the sand is calculated as;
1320 = 30 × 28 × h
1320 = 840h
divide both sides by 840
h = 1320/840
h = 1.57 in
therefore the height of the remaining sand is 1.57
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A home repair crew charges $75 dollars per day plus a $250 service fee. the total amount the home repair crew charges this client is $925.how many days did the crew work?
The home repair crew worked for 9 days.
What is the duration of the home repair crew's work to charge $925?To determine the number of days the home repair crew worked for, we can use algebra. Let's assume that the number of days they worked for is represented by "d". We know that they charge $75 per day plus a $250 service fee, so we can set up the following equation:
75d + 250 = 925
Simplifying the equation, we get:
75d = 675
Dividing both sides by 75, we get:
d = 9
However, we need to keep in mind that the $250 service fee is a one-time charge, not a daily charge. So we need to subtract that from the total amount to get the actual amount charged for the days worked:
925 - 250 = 675
Dividing 675 by the daily rate of $75, we get:
675 / 75 = 9
Therefore, the home repair crew worked for 9 days.
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Solve the following absolute value equations. Show the solution set.
1/2=1/3-|(x-3/6)+x|
The solution set for the equation 1/2 = 1/3 - |(x-3/6)+x| is {1/12, -1/12}.
How to Solve Absolute Value Equations?To solve the equation 1/2 = 1/3 - |(x-3/6)+x|, we need to isolate the absolute value expression and solve for x in two cases.
Case 1: (x-3/6)+x is nonnegative, which means the absolute value can be removed.
1/2 = 1/3 - (x-3/6)-x
1/2 = 1/3 - 2x + 1/2
2x = 1/6
x = 1/12
Case 2: (x-3/6)+x is negative, which means the absolute value must be flipped.
1/2 = 1/3 + (x-3/6)+x
1/2 = 1/3 + 2x - 1/2
2x = -1/6
x = -1/12
Therefore, the solution set is {1/12, -1/12}.
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The teacher could buy the shirts online for $3. 50 each. She would also pay a fee of $9. 50 for shipping the shirts. Write a function that can be used to find y, the total cost, in dollars, of buying x shirts online.
Enter your function in the space provided
The function with y and x, representing cost and shipping charges will be y = 3.50x + 9.50.
The express that can be used to write the function is as follows-
Total amount = number of shirts × cost of shirts + shipping fee
Write the function based on the formula -
y = 3.50×x + 9.50
As stated x represents the number of shirts bought online. We know that shipping charges will be calculated once while cost of shirt will vary according to the number of shirts.
Hence the function will be -
y = 3.50x + 9.50
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Mustafa, Heloise, and Gia have written more than a combined total of
22
2222 articles for the school newspaper. Heloise has written
1
4
4
1
start fraction, 1, divided by, 4, end fraction as many articles as Mustafa has. Gia has written
3
2
2
3
start fraction, 3, divided by, 2, end fraction as many articles as Mustafa has.
Write an inequality to determine the number of articles,
�
mm, Mustafa could have written for the school newspaper.
m > 8 is an inequality used to calculate the number of articles Mustafa could have written.
Let's assume that Mustafa has written m articles for the school newspaper.
Then, according to the given information:
Heloise has written 1/4 as many articles as Mustafa has, which means she has written 1/4 × m = m/4 articles.
Gia has written 3/2 as many articles as Mustafa has, which means she has written 3/2 × m = 3m/2 articles.
The combined total of articles written by all three is more than 22, so we can write:
m/4 + 3m/2 + m > 22
Simplifying and solving for m:
11m/4 > 22
m > 22 × 4/11
m > 8
Therefore, m > 8 is an inequality used to calculate the number of articles Mustafa could have written.
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Some parallelograms are squares true or false
Answer:
True
Step-by-step explanation:
Parallelogram: A parallelogram is 4-sided shape that has parallel opposite sides
Square: A square is 4-sided shape where all sides are congruent and has 4 right angles. A square also has 2 pairs of opposite parallel sides.
Based on these definitions, we can see that not ALL parallelograms can be squares because a parallelogram can have no right angles, or can have all 4 angles be right angles.
All squares have to be parallelograms though because a square and a parallelogram both have 2 pairs of opposite parallel sides.
Hope this helps :)
Triangle ΔABC has side lengths of a = 15, b equals 15 times radical 3 comma and c = 30 inches.
Part A: Determine the measure of angle B period (5 points)
Part B: Show how to use the unit circle to find tan B. (2 points)
Part C: Calculate the area of ΔABC. (3 points)
a) Where the information about triangle ABC is given above, the measure of angle B is 60°
How is this so ?Using the Cos Rules,
(15√3)² = 30² + 15² - 2(15 x 30) cos B
⇒ 657 = 1125 - 900 cosB
⇒ 2 Cos B = 1 Cos B = 1/2
So
B = Cos ⁻¹(1/2)
Hence,
B = 60°
B) Given the above,
Now, we can use the tangent function to find tan B:
tan B = sin B / cos B
= sin (π/3) / cos (π /3)
= (√3 / 2) / 0.5
tan B = √3
C ) the area of the rriangle is given as
s = (a + b + c) /2
Substituting
s = (15 + 15√ 3 + 30)/2
s = 30 + 15√3
Area = √ [ (30 + 15√3)(15√3) (15)(30 - 15 - 15√3))
Simplifying we can say
Area = √(30 + 15√3 )( 15√3)(15)(15 - 5√3 )]
= √[3(10 + 5√3)(15)(3√3 - 1)]
= √[2250 - 1125√3]
Hence,
Area ≈ 17.36in
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14
Find the limit of the rational function a. as x and b. as X-→ - 00 X + 6 f(x) = +3 + 20 X+6 a. lim x x² + 20 (Simplify your answer.) X + 6 b. lim x--00x2 + 20 = (Simplify your answer.) (
Both the limits are equal to 0: a. lim (x→∞) f(x) = 0 b. lim (x→-∞) f(x) = 0
Know more about rational function,
First, let's rewrite the rational function f(x) more clearly and identify the two limits we need to find: f(x) =[tex](x + 6) / (x^2 + 20)[/tex]
a. lim (x→∞) f(x) b. lim (x→-∞) f(x)
To find these limits, we can use the following steps:
Step 1: Divide both the numerator and the denominator by the highest power of x in the denominator.
In this case, it is x^2. f(x) = [tex][(x + 6) / x^2] / [(x^2 + 20) / x^2][/tex]
Step 2: Simplify the function. f(x) =[tex][(1/x) + (6/x^2)] / [1 + (20/x^2)][/tex]
Step 3: Evaluate the limits.
a. lim (x→∞) f(x)
= [(0) + (0)] / [1 + (0)]
= 0 / 1 = 0
b. lim (x→-∞) f(x)
= [(0) + (0)] / [1 + (0)]
= 0 / 1 = 0
So, both the limits are equal to 0: a. lim (x→∞) f(x) = 0 b. lim (x→-∞) f(x) = 0
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For each problem, determine what will happen to the first factor?
10 x 1/2
15 x 7/2
When multiplying a whole number with a fraction, the first factor will be reduced to a fraction or a decimal, depending on the problem.
In both of the given problems, we are multiplying a whole number with a fraction. When we multiply a whole number with a fraction, we can simply multiply the whole number with the numerator of the fraction and keep the denominator as it is. So, in the first problem, we have 10 multiplied by 1/2. Multiplying 10 with 1 gives us 10, and then we divide it by 2, which gives us 5. Therefore, the first factor, which is 10, will be reduced to 5 in this problem.
In the second problem, we have 15 multiplied by 7/2. Multiplying 15 with 7 gives us 105, and then we divide it by 2, which gives us 52.5. Therefore, the first factor, which is 15, will be reduced to 52.5 in this problem.
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.
3. a piece of paper is folded into thirds multiple times. the area, a, of the piece in square inches, after n folds, is a = 90•(1/3)n
a. what is the value of a when n=0? what does this mean in the situation?
b. how many folds are needed before the area is less than 1 square inch?
The paper initial area of the paper is 90 square inches and needs to be folded at least 5 times before its area becomes less than 1 square inch.
a. When n=0, the expression for the area of the paper after folding becomes:
a = 90•(1/3)⁰ = 90•1 = 90 square inches
This means that the initial area of the paper before any folding is 90 square inches.
b. To find out how many folds are needed before the area is less than 1 square inch, we can set the expression for the area of the paper after folding to be less than 1 and solve for n:
a = 90•(1/3)ⁿ < 1
(1/3)ⁿ < 1/90
Taking the logarithm of both sides with base 1/3, we get:
n > log(1/90)/log(1/3)
n > 4.8
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Craig needs to measure 2 3/8 cups. How many times must he fill a 1/3 cup measuring cup?
First, we need to convert the mixed number 2 3/8 to an improper fraction:
2 3/8 = (2 x 8 + 3) / 8 = 19/8
To find out how many times Craig needs to fill a 1/3 cup measuring cup, we can divide 19/8 by 1/3:
(19/8) / (1/3) = (19/8) x (3/1) = 57/8
Therefore, Craig needs to fill a 1/3 cup measuring cup 57/8 times to measure 2 3/8 cups.
Frank is packing cube-shaped containers into large boxes. he can fit
15 containers in each layer. if he stacks 8 layers into one box, what is the
volume of the box?
The volume of the large box is 120[tex]s^3[/tex].
How to find the volume?If Frank can fit 15 cube-shaped containers in each layer and stack 8 layers into one box, then the total number of containers he can fit in one box is:
15 containers/layer x 8 layers = 120 containers
Since each container is cube-shaped, we can assume that it has the same length, width, and height. Let's represent the length of one side of the container as "s". Then, the volume of one container is:
Volume of one container = [tex]s^3[/tex]
The volume of 120 containers that can fit in one box is:
Volume of 120 containers = 120 x Volume of one container
Substituting the expression for the volume of one container, we get:
Volume of 120 containers = 120[tex]s^3[/tex]
Therefore, the volume of the large box that can hold 120 cube-shaped containers with side length "s" is 120[tex]s^3[/tex].
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Consider the following
g(x) = 8x^2 – 4; h(x) = 1.6^x Find the derivative of f(x) = g(x) · h(x). f'(x) =
The derivative of the equation g(x) = 8x^2 – 4; h(x) = 1.6^x is f'(x) = 40.96x · 1.6^x - 15.040128 · 1.6^x
To find the derivative of f(x) = g(x) · h(x), we use the product rule of derivatives, which states that if f(x) = u(x) · v(x), then f'(x) = u'(x) · v(x) + u(x) · v'(x).
Using this rule, we can find the derivative of f(x) = g(x) · h(x) as follows:
f(x) = g(x) · h(x) = (8x^2 – 4) · (1.6^x)
f'(x) = g'(x) · h(x) + g(x) · h'(x) [applying the product rule]
To find g'(x), we take the derivative of g(x) = 8x^2 – 4, which is:
g'(x) = 16x
To find h'(x), we take the derivative of h(x) = 1.6^x, which is:
h'(x) = ln(1.6) · 1.6^x [using the chain rule and the fact that the derivative of a^x is ln(a) · a^x]
h'(x) ≈ 0.470004 · 1.6^x
Now we substitute these values into the product rule formula:
f'(x) = (16x) · (1.6^x) + (8x^2 – 4) ·0.470004 · 1.6^x
Simplifying this expression, we get:
f'(x) = 25.6^x + (12.8x^2 – 6.4) ·0.470004 · 1.6^x
f'(x) = 40.96x · 1.6^x - 15.040128 · 1.6^x
Therefore, the derivative of f(x) = g(x) · h(x) is:
f'(x) = 40.96x · 1.6^x - 15.040128 · 1.6^x
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Justice has a box of trading cards. There are three types of trading cards in the box, a basketball, a football, and a soccer ball. The probability of picking out a basketball card is 2/5, and the probability of picking out a football card is 1/3. What is the probability Justice will randomly pick out a soccer card?
If the probability of picking out a basketball card is 2/5, and the probability of picking out a football card is 1/3, the probability of Justice randomly picking out a soccer card is 4/15.
To find the probability of Justice picking out a soccer card, we need to know the total probability of all three types of cards adding up to 1. Since there are only three types of cards, we can subtract the probability of picking a basketball card and the probability of picking a football card from 1 to find the probability of picking a soccer card.
Let P(S) be the probability of picking a soccer card.
We know that P(B) = 2/5 and P(F) = 1/3.
Therefore, the total probability of picking one of the three cards is:
P(B) + P(F) + P(S) = 1
Substituting the values we know, we get:
2/5 + 1/3 + P(S) = 1
Simplifying the equation, we get:
6/15 + 5/15 + P(S) = 1
11/15 + P(S) = 1
P(S) = 1 - 11/15
P(S) = 4/15
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Find the rate of change for the linear function represented in the table.
Time (minutes) Temperature (°C)
x y
0 66
5 69
10 72
15 75
The rate of change for the linear function represented in the table is 3/5.
How to calculate or determine the rate of change or slope of a line?In Mathematics and Geometry, the gradient, rate of change, or slope of any straight line can be determined by using the following mathematical equation;
Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change (slope) = rise/run
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
Rate of change (slope) = (69 - 66)/(5 - 0)
Rate of change (slope) = 3/5
Based on the table, the rate of change is the change in y-axis with respect to the x-axis and it is equal to 3/5.
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anyone who is willing to answer the question in the image sent, i will give you brainiest!
Answer:
Triangles: 4(1/2)(12)(10) = 240 ft^2
Square: 10^2 = 100 ft^2
Total Surface Area: 340 ft^2
If a big sheet of white paper has a red dot in the center, the red dot is the ______, and the white space is the ______.
If a big sheet of white paper has a red dot in the center, the red dot is the figure or object, and the white space is the ground or background.
In visual perception, the figure-ground relationship is the process by which our brains distinguish an object( the figure) from its surroundings( the ground).
This relationship is essential in our capability to fete and make sense of the visual world around us. The figure is the object of interest or focus, while the ground is the background against which it stands out.
The red dot becomes the focal point or center of attention, while the white space around it provides environment and contrast, making the dot more visible and commanding.
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To solve 2x + 3 = 5, Sylvia first subtracted 5 from both sides. What did she do wrong?
Answer:the two sides still equal.
Step-by-step explanation:To solve 2x + 3 = 5, Sylvia first subtracted 5 from both sides. What did she do wrong? Because Sylvia did the same operation to both sides, the equation is still correct: the two sides still equal.
Answer:
1
Step-by-step explanation:
or, 2x=5-3
or, 2x=2
or, x=2/2
x=1
Your doing practice 5
5.) The dimensions of the banner whose perimeter is given is listed below:
length = 134in
width = -59in
How to determine the dimensions of the rectangular banners?To calculate the dimensions of the rectangular banner, the formula for the perimeter of rectangle should be used and it's given below;
Perimeter of rectangle = 2(length+width)
length = 16-2a
width = a
perimeter = 160in
That is;
160 = 2(16-2a+a)
160 = 32-4a+2a
160 = 42-2a
2a = 42-160
2a = -118
a = 118/2
= -59
Length = 16-2(-59)
= 16+118
= 134in
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Mr Louis wants to top-up his central heating oil tank.
The oil tank can take up to 1400 litres of oil.
There are already 150 litres of oil in the tank.
The price of oil is 80. 5p per litre.
As a loyal customer, Mr Louis gets a 6. 5% discount on the price of the oil.
How much discount does Mr Louis get on this purchase?
Give your answer in £.
If Mr Louis gets a 6. 5% discount on the price of the oil, Mr. Louis gets a discount of £65.41 on this purchase.
First, let's find out how many litres of oil Mr. Louis needs to fill his tank:
Maximum capacity of the tank: 1,400 litres
Current oil in the tank: 150 litres
Litres needed to top up: 1,400 - 150 = 1,250 litres
Next, we'll calculate the original price of the oil without the discount:
Price per litre: £0.805
Cost of oil needed: 1,250 litres * £0.805 = £1,006.25
Now, let's calculate the discount amount:
Discount percentage: 6.5%
Discount amount: £1,006.25 * 0.065 = £65.41
So, Mr. Louis gets a discount of £65.41 on this purchase.
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Ms. Grant recorded the numbers of students in her homeroom class who
participated in spirit week.
The table shows the number of students who dressed up each day.
Day
Mon Tues. Wed. Thurs. Fri. Total
Number of students O
1
4
5
5
15
Find the mean and the median of the data set.
Determine which of these values is greater.
A. The median, 4, is greater than the mean, 3.
B. The mean, 4, is greater than the median, 3.
C. The mean, 4, is greater than the median, 2.
D. The median, 5, is greater than the mean, 0.
The mean and the median of the data set is given as the median, 4, is greater than the mean, 3. The correct answer is option a.
To find the mean of the data set, we add up all of the numbers and divide by the total number of days. So, the mean is (1+4+5+5+1+5+5)/6 = 3.
To find the median, we first need to put the numbers in order from least to greatest: 1, 1, 4, 5, 5, 5. The median is the middle number, which in this case is 4.
Now we need to determine which value is greater. The options are:
A. The median, 4, is greater than the mean, 3.
B. The mean, 3, is greater than the median, 4.
C. The mean, 4, is greater than the median, 2.
D. The median, 5, is greater than the mean, 0.
We can eliminate options B and D because they don't make sense. The mean cannot be less than 0, and the median cannot be less than the mean.
Option A is correct. The median, 4, is greater than the mean, 3. This makes sense because there are two 1's in the data set, which bring down the mean. However, the median is not affected by outliers like this, so it remains higher.
Option C is incorrect because the mean is not 4, it is 3.
In summary, the mean of the data set is 3 and the median is 4. The median is greater than the mean, which is represented by option A.
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help
pls thank you
,,,,,,,,,,,,,,,,,,,,,,,,,,,
The image of P under a 270° counterclockwise rotation about the origin is (2, -8) .
How to find the image of P under the rotation?Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.
Translation, rotation, reflection, and dilation are the four common types of transformations.
Rotation simply means turning. If a point P, whose position vector is (x,y), is rotated 270° counterclockwise rotation about the origin, the position of the image P' is (y, -x).
We have: P(8, 2)
Thus, the image of P will be:
P'(2, -8)
Therefore, the image of P under a 270° counterclockwise rotation about the origin is (2, -8).
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An athlete runs around a rectangular housing estate 10 times. The estate is 1.08 km by 420 m. How far has the athlete run?
30 km far has the athlete run.
A rectangle may be a geometric shape that is characterized by its four sides, where opposite sides are parallel and break even within the length. It has four sides the longer side is named length and the shorter side is named as breadth.
An Athlete runs around a rectangular field = 10 times
The Length of the rectangle = [tex]1.08 km[/tex]
The Breadth of the rectangle = [tex]0.42 km[/tex]
[tex]1km = 1000 m\\= 420 /1000 m\\= 0.42 km[/tex]
Therefore, perimeter of the rectangle = 2 (length + breadth)
= [tex]2 ( 1.08 + 0.42)[/tex]
= [tex]2 (1. 50)[/tex]
= [tex]3 km[/tex]
So, the athlete runs around a rectangular housing 10 times = [tex]3[/tex]×[tex]10[/tex]
= [tex]30 km[/tex]
Therefore, the athlete runs 30 km far.
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simplify
(2a² b c³) (-a² b⁵)
pls help asap!
Answer:
[tex]-2a^{4}b^{6} c^{3}[/tex]
Step-by-step explanation:
(2a² b c³) (-a² b⁵)
distribute amongst each other
-2a²bc³a²b⁵
rearrange
-2a²a²bb⁵c³
combine like terms
[tex]-2a^{4}b^{6} c^{3}[/tex]
Hope this helps!
Answer: -2[tex]a^{4}[/tex][tex]b^{6}[/tex]c³
Step-by-step explanation:
Given:
(2a² b c³) (-a² b⁵)
Rules:
>Multiply numbers first
>If a number with an exponent is multiplied to another, you can combine if the bases are the same(lower number)
>If they have the same base, you can add the exponents
Solution:
(2a² b c³) (-a² b⁵) >multiply the - and 2
-2(a² b c³) (a² b⁵) > combine the a's by adding the expnents 2+2
-2[tex]a^{4}[/tex]( b c³) ( b⁵) > combine b, there is an invisible 1 by the first b 1+5
-2[tex]a^{4}[/tex][tex]b^{6}[/tex]c³ >c stays as is because nothing to combine with
Which of the following is an odd function? f(x) = x3 5x2 x f (x) = startroot x endroot f(x) = x2 x f(x) = –x
The limit of [tex]L_n[/tex] as n approaches infinity is 1/2, and it can be expressed as the definite integral of x from 0 to 1.
To express the limit of [tex]L_n[/tex] as n approaches infinity as a definite integral, we can use the fact that the limit of a Riemann sum is equal to the corresponding definite integral. Thus, we can rewrite [tex]L_n[/tex] as:
[tex]L_n[/tex] = 1/n * (0 + 1 + 2 + ... + (n-1))
This is a Riemann sum for the integral:
[tex]\int\limits^1_0 {x} \, dx[/tex]
with n subintervals of width 1/n. Therefore, we can write:
[tex]\lim_{n \to \infty} L_n = \lim_{n \to \infty} 1/n * (0 + 1 + 2 + ... + (n-1)) = \int\limits^1_0 {x} \, dx = [x^2/2] \ from \ 0 \ to \ 1 = 1/2[/tex]
So, the limit of Ln as n approaches infinity is 1/2, and it can be expressed as the definite integral of x from 0 to 1.
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Bella works at a popular clothing store.last winter ,her manager asked her to track the sweater sales.this box plot show the results.
question:what fraction of the sweater cost $50 or less?
The fraction is half of the sweaters cost $ 50 or less.
After placing the given set of numbers in order, the median is the value that falls in the middle of the group.
From the given box plot,
The value of the median is $ 50
We can clearly see that the median is $ 50 this means, 50% of the clothes are below $ 50 and 50% of the clothes are above $ 50.
The percentage of $ 50 or less sweaters is now 50%.
So, Required fraction = 50 / 100
= 5 / 10
= 1 / 2
Therefore, the fraction is half of the sweaters cost $ 50 or less.
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Given question is incomplete, complete question is below
Bella works at a popular clothing store. last winter ,her manager asked her to track the sweater sales. this box plot show the results.
question: what fraction of the sweater cost $50 or less?
Mario's Pizzeria offers 2 types of crust and 6 different kinds of toppings. They assigned each side of the coin to a type of pizza crust and each number on the number cube to a topping. If Mario's makes a one-topping pizza, what is the probability that the coin flipped and the cube rolled will describe the pizza crust and topping combination they just made? Express the answer as a decimal rounded to the nearest thousandth
To determine the probability of the coin flip and the cube roll describing the pizza crust and topping combination made at Mario's Pizzeria, we need to consider the total possible outcomes of these events.
There are 2 types of crust, so the coin has 2 sides (heads for one crust type and tails for the other). For the toppings, there are 6 options, represented by the numbers 1 to 6 on the number cube.
First, we find the total possible outcomes by multiplying the number of crust options (2) by the number of topping options (6):
Total possible outcomes = 2 crust options * 6 topping options = 12 combinations
Since there is only one specific combination that Mario's Pizzeria just made, the probability of the coin flip and the cube roll describing this specific combination is:
Probability = 1 (specific combination) / 12 (total possible outcomes)
To express this as a decimal rounded to the nearest thousandth, divide 1 by 12:
Probability ≈ 0.083
So, the probability that the coin flipped and the cube rolled will describe the pizza crust and topping combination that Mario's Pizzeria just made is approximately 0.083, or 8.3%.
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1. Identify two accounts that are in good standing. Explain what evidence you found on the credit report
to indicate why these are in good standing. (4 points)
The evidence on a credit report that indicates good standing may vary depending on the individual's credit history and financial situation.
What are the accounts that are in good standing? Explain what evidence you found on the credit report.As an AI language model, I do not have access to specific credit reports or personal information of individuals. However, I can provide you with general information on what constitutes good standing on a credit report and some examples of evidence that may indicate good standing.
A good standing on a credit report typically means that a person has been responsible with their credit and has not defaulted on their payments. This may be indicated by a high credit score, a long credit history, and a low debt-to-credit ratio.
Some examples of evidence that may indicate good standing on a credit report include:
A high credit score: A credit score is a numerical representation of a person's creditworthiness. A high credit score, typically above 700, indicates that a person is in good standing and is likely to be approved for credit or loans. A high credit score may be achieved through a consistent history of making on-time payments, a low debt-to-credit ratio, and a diverse mix of credit accounts.
A low debt-to-credit ratio: A debt-to-credit ratio is the amount of debt a person has compared to their available credit limit. A low debt-to-credit ratio, typically below 30%, indicates that a person is not overextended and is able to manage their credit responsibly. This may be achieved through regular payments and not maxing out credit cards.
Overall, the evidence on a credit report that indicates good standing may vary depending on the individual's credit history and financial situation.
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Which sequence of transformations could triangle XYZ have
gone through to produce figure XYZ as shown to the right?
A Rotation 90° clockwise, translation 4 units up and 3 units right.
B. Rotation 90° counterclockwise, translation 3 units up and 4
units right.
C. Rotation 90° clockwise, reflection across the y-axis
D. Rotation 90° counterclockwise, reflection across the y-axis.
Z
YA
X'
A
The sequence of transformations the triangle XYZ have gone through to produce figure X'Y'Z' is: D. Rotation 90° counterclockwise, reflection across the y-axis.
What is transformation?Transformation is a method required to change the orientation, or resize a given object to produce its image. Some of the types of transformation are: rotation, reflection, dilation, and translation.
Rotation requires turning a given object about a point at a certain angle.
Reflection implies flipping an object over a line as a reference point.
Dilation deals with either increasing or decreasing the dimensions of a given object.
Translation involves moving an object in a specific direction and given number of units.
Considering triangle XYZ and the figure produced, we can conclude that:
The sequence of transformations the triangle XYZ have gone through to produce figure X'Y'Z' is: D. Rotation 90° counterclockwise, reflection across the y-axis.
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