Answer:
option is A answer
Step-by-step explanation:
as only 4 has 1/6 possiblity total it will be 1-1/6
What is the measure of a single angle of deviation on a regular octagon?
A. 72°
B. 45°
C. 83°
D. 40°
E. 8°
F. 42°
The measure of a single angle of deviation on a regular octagon is 45 degrees.
PolygonsAn octagon is a shape with 8 sides and 8 angles. The sum of an interior angle of an octagon is 1080 degrees.
Point of interseectionThe point where the intersection of lines meets forms an angle of 45 degrees. Hence based on the given question, we can conclude that the measure of a single angle of deviation on a regular octagon is 45 degrees.
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Josiah owes $3,500 on his credit card with a minimum percentage of 3% or $100 (whichever is higher). How much is the minimum payment due?
$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.
The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.
1. Calculate 3% of $3,500:
3% * $3,500 = 0.03 * $3,500 = $105
2. Compare the calculated amount with the minimum payment of $100:
Minimum payment = max($105, $100)
Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.
The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.
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Help me with this plz!?!? I will mark brainliest!!!
Which step explains how to find the value of a in 6a = 72?
a. add 6 to both sides
b. divide both sides by 6
c. multiply both sides by 6
d. subtract 6 from both sides
Answer:
b divide both sides by 6
Step-by-step explanation:
6a = 72 if you divided each side by 6 you will get
a = 12 which would bring you to the actual answer.
Assume that the probability of a driver getting into an accident is 7.1%, the average cost of an accident is $14,886.0 , and the overhead cost for an insurance company per insured driver is $110 . What should the driver's insurance premium be?
Answer: $1166.91
Step-by-step explanation:
The following can be deduced from the question:
Average cost of an accident = $14,886.05
Probability of a driver getting into an accident = 7.1% = 7.1/100 = 0.071.
Overhead cost for insurance = $110
Therefore, the expected cost of an accident will be calculated as:
= Average cost of an accident × Probability of a driver getting into an accident
= $14,886.05 × 0.071
= $1056.91
Therefore, the driver's insurance premium will then be:
= $1056.91 + $110
= $1166.91
Graph the following functions ( I will give brainly whoever answer this)
Answer:
See the attachment for the graph of the piecewise function.
Step-by-step explanation:
Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.
Given piecewise function:
\(f(x)=\begin{cases}2x+2,\;\;\;0\leq x \leq 1\\4x^2,\;\;\;\;\;\;\;1 < x < 3\end{cases}\;[1,3]\)
Therefore, the function has two definitions:
f(x) = 2x + 2 when x is greater than or equal to 0 and less than or equal to 1.f(x) = 4x² when x is greater than 1 and less than 3.When graphing piecewise functions:
Use an open circle where the value of x is not included in the interval.Use a closed circle where the value of x is included in the interval.Use an arrow to show that the function continues indefinitely in that direction.First piece of the functionSubstitute the endpoints of the first function's domain 0 ≤ x ≤ 1 into the first function:
\(x=0\implies f(0)=2(0)+2=2 \implies (0,2)\)
\(x=1\implies f(1)=2(1)+2=4 \implies (1,4)\)
Therefore, place a closed circle at (0, 2) and a closed circle at (1, 4).
As this function is linear, join the two points with a straight line.
Second piece of the functionSubstitute the endpoints of the second function's domain 1 < x < 3 into the second function:
\(x=1\implies f(1)=4(1)^2=4 \implies (1, 4)\)
\(x=3\implies f(3)=4(3)^2=36 \implies (3, 36)\)
Therefore, place an open circle at (1, 4) and an open circle at (3, 36).
As the function is quadratic (a parabola that opens upwards), join the points with a curve.
You will notice that both pieces of the function share the endpoint (1, 4).
As (1, 4) is included in the second piece of the function, the function is continuous at (1, 4) and the closed circle is optional at that point.
If m/2 = 3x +1 and m/3= 2x+4, what is m/2?
Answer: 10
Step-by-step explanation:
To solve this problem, you can start by substituting the expression "2x+4" for "m/3" in the first equation:
m/2 = 3x + 1
(2x+4) * 2/3 = 3x + 1
Then, you can simplify this expression to obtain:
4x/3 + 8/3 = 3x + 1
Next, you can subtract 3x from both sides to obtain:
4x/3 - 3x = 3x + 1 - 3x
This simplifies to:
x/3 = 1
Multiplying both sides by 3 gives:
x = 3
Now that you have found the value of x, you can substitute it back into either of the original equations to find the value of m/2. If you substitute it into the first equation, you get:
m/2 = 3(3) + 1
m/2 = 9 + 1
m/2 = 10
So, m/2 = 10.
find the values of x where the graph of the function has a point of inflection given f(x)=x^4-x^3
f(x) has a point of inflection at x = 0 and x = 1/2.To find the values of x where the graph of the function\(f(x) = x^4 - x^3\) has a point of inflection, we need to find where the second derivative of the function changes sign from positive to negative or vice versa.
The first derivative of the function is:
\(f'(x) = 4x^3 - 3x^2\)
The second derivative of the function is:
\(f''(x) = 12x^2 - 6x\)
Setting f''(x) equal to zero and solving for x gives:
\(12x^2 - 6x = 0\)
6x(2x - 1) = 0
This equation has two solutions:
x = 0, or x = 1/2
To determine whether these values of x correspond to points of inflection, we need to look at the sign of the second derivative on either side of each value.
When x < 0, f''(x) is positive because both \(12x^2\) and -6x are positive. When 0 < x < 1/2, f''(x) is negative because \(12x^2\)is positive but -6x is negative. When x > 1/2, f''(x) is positive again because both \(12x^2\) and -6x are negative.
Therefore, f(x) has a point of inflection at x = 0 and x = 1/2.
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Help me please.............
Answer:
A.
Step-by-step explanation:
when you graph it
Solve the system of equations using elimination.
4x + 4y = 28
3x + y = 15
O (1,6)
O (2,5)
O (3, 4)
O (4,3)
Answer: (4, 3)
Step-by-step explanation:
To solve the system of equations using elimination, we can manipulate the equations to eliminate one variable and solve for the other.
Let's start with the given system of equations:
Equation 1: 4x + 4y = 28
Equation 2: 3x + y = 15
To eliminate the y variable, we can multiply Equation 2 by 4 to make the coefficients of y in both equations the same:
4 * (3x + y) = 4 * 15
12x + 4y = 60
Now we have two equations with the same coefficient for y:
Equation 1: 4x + 4y = 28
Equation 3: 12x + 4y = 60
We can subtract Equation 1 from Equation 3 to eliminate the y variable:
Equation 3 - Equation 1:
(12x + 4y) - (4x + 4y) = 60 - 28
12x - 4x = 32
8x = 32
x = 4
Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use Equation 2:
3x + y = 15
3(4) + y = 15
12 + y = 15
y = 15 - 12
y = 3
Therefore, the solution to the system of equations is x = 4 and y = 3. So the answer is (4, 3).
Answer:
(4, 3)
Step-by-step explanation:
i got it right on my quiz
Add the difference of 16 and 9 to the quotient of 12 and 3
Answer: 11
Explanation:
*difference* is the answer you get when subtracting,
so, 16-9
you get 7,
*quotient* is the answer you get when dividing,
so, 12/3
you get 4,
finally, you add 4+7
which is 11
Hope this helps! :D
What is the constant of proportionality shown in the
table?
Answer:
0.5
Step-by-step explanation:
An equation is written as :
y = kxk is the constant of proportionalityTaking the first row data (x = 2, y = 1),
y = kx1 = 2kk = 1/2k = 0.5Answer:
Option A, 0.5
Step-by-step explanation:
Step 1: Determine the slope/proportionality
\(Slope = \frac{y_2 - y_1}{x_2 - x_1}\)
\(Slope = \frac{1.5-1}{3-2}\)
\(Slope = \frac{0.5}{1}\)
\(Slope =0.5\)
Answer: Option A, 0.5
Hi can someone help me out. This is due by the end of the day.
Answer:
It's called the diameter of the circle
The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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The measures of 13 angles of a 14-gon add up to 2014. Find the fourteenth angle measure
Answer:
154.92
Step-by-step explanation:
2014/13=154.92
The owner of bookstore buys used books from customers for $1.50 each .the owner then resells the used books for 400% of the amount he paid for them.what is the price of a used book in this bookstore
The selling price of a used book at the store where the owner buys a used book for $1.50 and resells the used book at a price of 400% the price at which he buys the used book is $6.00
What is the selling price of a commodity?The selling price of an item is the price which is displayed on the item on the shelves of a store. The selling price is often different from the price at which the item is bought, or produced, which is often lesser than the price at which the item is sold.
The amount at which the owner buys each used books = $1.50
The amount at which the owner of the used book store sells the books = 400% of the amount he paid for the books
400% of an amount x is equivalent four times the amount. (4 × x)
The price at which the owner sells a used book at his store, P, is therefore;
P = 400% × $1.50 = 400/100 × $1.50 = $6.00
The price of a used book at the store is $6.0
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help me plz The formula K=59(F−32)+273.15 converts temperatures from Fahrenheit F to Kelvin K.
a. Solve the formula for F.
F=
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
\(k = 59(f - 32) + 273.15\)
Subtract the sides of the equation minus -273.15
\(k - 273.15 = 59(f - 32)\)
Divided the sides of the equation by 59
\( \frac{k - 273.15}{59} = \frac{59}{59} (f - 32) \\ \)
\( \frac{k - 273.15}{59} = f - 32 \\ \)
Subtract the sides of the equation plus 32
\( \frac{k - 273.15}{59} + 32 = f \\ \)
And we're done.
Thanks for watching buddy good luck.
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6-8x=7x-10x-24 solve for x
Answer:
x = 6
Step-by-step explanation:
Let's solve your equation step-by-step.
6−8x=7x−10x−24
Step 1: Simplify both sides of the equation.
6−8x=7x−10x−24
6+−8x=7x+−10x+−24
−8x+6=(7x+−10x)+(−24)(Combine Like Terms)
−8x+6=−3x+−24
−8x+6=−3x−24
Step 2: Add 3x to both sides.
−8x+6+3x=−3x−24+3x
−5x+6=−24
Step 3: Subtract 6 from both sides.
−5x+6−6=−24−6
−5x=−30
Step 4: Divide both sides by -5.
−5x/-5 = -30 /-5
x=6
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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What are the magnitude and direction is u+v+w? ||v|= 60 ||w||=50 ||u||= 80
The angle formed between this vector and the positive x-axis measures around 61.26° and goes in a counterclockwise direction.
How to solveFirst, we calculate the components:
u = (80cos(30°), 80sin(30°)) ≈ (69.28, 40.00)
v = (60cos(60°), 60sin(60°)) ≈ (30.00, 51.96)
w = (50cos(120°), 50sin(120°)) ≈ (-25.00, 43.30)
Now, let's find the resultant vector (u+v+w):
u+v+w = (69.28 + 30.00 - 25.00, 40.00 + 51.96 + 43.30) ≈ (74.28, 135.26)
The magnitude of the resultant vector ||u+v+w|| can be found using the Pythagorean theorem:
||u+v+w|| = √(74.28² + 135.26²) ≈ 152.44
To find the direction, we calculate the angle θ:
θ = atan2(135.26, 74.28) ≈ 61.26°
The total size of the composite vector, obtained by adding u, v, and w, amounts to a value close to 152.44.
The angle formed between this vector and the positive x-axis measures around 61.26° and goes in a counterclockwise direction.
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The three vectors are in two-dimensional space and have the following components:
u = (80cos(30°), 80sin(30°))
v = (60cos(60°), 60sin(60°))
w = (50cos(120°), 50sin(120°))
What are the magnitude and direction is u+v+w? ||v|= 60 ||w||=50 ||u||= 80
plz answer this question without putting links or files
Answer:
(6,14) (7,16) (8,18)
Step-by-step explanation:
The x values are going up by one, while the y values are going up by 2.
Which statement, if true, would help prove that quadrilateral
FGHJ is inscribed in Circle O and why?
Answer:
i believe its a
Step-by-step explanation:
.........
Question 2
Which of the following statements is correct based on the number line below?
The number line showing numbers from -8 to 8 in increments of 2, has point P at 0, and point Q is at 8.
A
68−−√ is to the right of Point Q because it is less than 8.
B
68−−√ is between points P and Q because it is less than 0 and greater than 8.
C
68−−√ is between points P and Q because it is greater than 0 and less than 8.
D
68−−√ is to the right of Point Q because it is greater than 8.
The correct statement based on the number line is,
⇒ √68 is to the right of Point Q because it is greater than 8.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The number line showing numbers from -8 to 8 in increments of 2, has point P at 0, and point Q is at 8.
Now, We know that;
⇒ √68 = 8.24
And,
⇒ 8.24 > 8
Hence, √68 is to the right of Point Q because it is greater than 8.
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Place parentheses in the expression so that it equals the given value 12 = 2 X 23; value: 120
2)
write place value of 3 in 32,840
Answer:
The 3 is in the ten thousands place.
3 is 30 thousand
2 is 2 thousand
8 is 8 hundred
4 is 4 tens
0 is 0 ones
Answer:
The 3 is in the hundred-thousands
Step-by-step explanation:
Describe how to find the number of seats in the middle and lower levels of the stadium when solving for the variable only gives the number of seats on the upper level.
Answer:
Step-by-step explanation:
To find the value of the upper level you would have to solve the equation "x + (2x + 40) + (3x – 50) = 15,002" and the answer is 2,502. But to find the values of the middle and lower floors you need to apply the variable to separate equations. The lower level has 50 fewer than three times as many seats as the value of x. So to find the number of seats in the lower levels, you would have to multiply 2,502 by 3 (7,506) and subtract 50 (7,506 - 50 = 7456). The middle level has 40 more than twice as many seats as the upper level. To find the middle level you would multiply 2,506 by 2 (5004) and add 40 ( 5004 + 40 = 5044).
write an equation of any line that is parallel to the equation above in 1
write the equation of the line from question 1 if we applied these transformations: a reflection and translated the line 5 units down
The equation of the line, after reflecting and translating it 5 units down, is y - 6 = 1200x - 1205.
To find an equation of a line parallel to the given equation in question 1, we can use the fact that parallel lines have the same slope.
The given equation is f(x) = –4(x – 50)(x – 250).
To determine the slope of this equation, we can rewrite it in slope-intercept form (y = mx + b), where m represents the slope.
Expanding and simplifying the given equation, we have:
\(f(x) = -4(x^2 - 300x + 12500)\)
\(= -4x^2 + 1200x -50000\)
The slope of this equation can be found by comparing it to the standard form y = mx + b:
m = 1200
Now, we can write the equation of a line parallel to the given equation. Since we don't have specific points, we can use the point-slope form of a linear equation: y - y1 = m(x - x1).
For example, let's choose the point (1, 1).
Plugging in the values into the equation, we have:
y - 1 = 1200(x - 1)
To simplify, we distribute the 1200:
y - 1 = 1200x - 1200
Next, we can translate the line 5 units down by subtracting 5 from both sides of the equation:
y - 1 - 5 = 1200x - 1200 - 5
y - 6 = 1200x - 1205
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16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.
A) 5.45
B) 6.45
C) 7.45
Answer:
AB= 7.45
Anwer C)
Step-by-step explanation:
Cos (angle) = Nearest side / Huypothenuse
Cos(20) = 7 / AB
Cos(20) * AB = (7 /AB) * AB
Cos (20) * AB = 7
(Cos(20) *AB) / Cos(20) = 7 / Cos(20)
AB = 7 / cos(20)
AB= 7.45
Which stem-and-leal plot matches the given set of data? State the letter of the correct answer 82, 74, 71, 58, 54, 51, 66, 50, 62, 76, 67, 75, 76 A. 60 5. 2 1 4 8 6 7 4 5 6 6 B. 5 0 1 4 8 6 2 6 7 71 4 5 6 2. BE 7 1 8 2 C. 5 0 1 6 0 1 4 8 2 6 7 1 4 5 5 2 D. 5 6 7 2 8 7 5 6 5 7 6 6 6 1 2 8 8
B
1) In the Stem and leaf plot, the numbers to the left of the line, represent the tens digit, and the numbers to the right, the unit's digit.
2) So examining, the distribution (82,74, ...76) We need to rewrite orderly from the least to the greatest
50, 51, 54, 58, 62, 66, 67, 71, 74, 75, 76, 82
Then we can visualize it as
3) So the answer is B
Lydia has four straws of different lengths, and she is trying to form a right triangle. The lengths are 8, 9, 15, and 17 units. Which three lengths should she use? Justify your answer.
The set of 3 lengths that make a right triangle is {8, 15, 17}
Which three lengths should she use?Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.
So if the 3 sides are A, B, and C, such that:
A < B < C
We will have:
A² + B² = C²
Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:
8² + 15² = 17²
289 = 289
That equationis true, thus, these 3 lengths make a right triangle.
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