A bag has 6 red marbles, 3 blue marbles, and 1 orange marble. In a game to raise money for a class trip, parents pay $5 and pull a marble randomly from the bag. The payout is $10 for pulling an orange marble, $4 for a blue marble, and $1 for a red marble. How much can the class expect to earn per game?
Where are the asymptotes of f(x) = tan (4x-pi) from x=0 to x= pi/2
A. X= pi/4, x=3pi/4
B. 0, x=pi/4
C. X=pi/2, x=3pi/2
D. X= 3pi/8, x=5pi/8
Step-by-step explanation:
the asymptotes of f(x) :
(4x-π) = π/2
4x = 3π/2 => x = 3π/8
(4x-π) = 3π/2
4x=5π/2 => x = 5π/8
the answer is
D. X= 3pi/8, x=5pi/8
find the area of the regular polygon
Answer:
433.4
Step-by-step explanation:
Height will be (14/2)/tan36 which is 9.63, then area for one triangle is 1/2*hb which is .5*9.63*7 is 43.34, times 10 you get 433.4
Someone please help me on this I'm unsure if my answer is correct
Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be \(4w\) and 3 more than would be \( + 3\), the equation would be \(l = 4w + 3\). If the perimeter is 56, then the new equation, \(2(4w + 3) + 2(w) = 56\) can be formed. This simplifies to \(8w + 6 + 2w = 56\), then to \(10w + 6 = 56\), then to \(10w = 50\), and finally, \(w = 5\). So the width is 5, and now plug it into the first equation.
\(l = 4(5) + 3\), becomes \(l = 20 + 3\), becomes \(l = 23\).
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure, \(2(23 + 5) = 2(28) = 56\) which is correct.
there is a 40% chance of getting stuck in traffic when leaving the city. on two separate days, what is the probability that you get stuck in traffic both days? a. 0.16 b. 0.40 c. 0.20 d. 0.80
Answer:
A
Step-by-step explanation:
40% = 40/100 = 4/10 = 2/5
2/5 * 2/5 = 4/25 = 0.16
pleaseee help me answer this question
Answer: use the radious
Step-by-step explanation:
What is seventy-eight divided by four and five multipliyed by nine
The correct response is 64.45, which is calculated as 72 divided by 4, 5 multiplied by 9.
Four times the product of nine plus two is (a).
4 (9+2)
Divide the difference between 18 and 6 by 4.
It is expressed as 18-6 then divided by four to get the difference between 18 and 6. Hence, the response will be \(\frac{(18 - 6)}{4}\)
Dividend Divisor = Quotient + Remainder is the equation used to determine the division of two integers.
The split number in this case is known as the dividend. The fraction that splits the fraction (dividend) equally equal pieces is known as the divisor. Multiplicand Multiplier = Product seems to be the way to write the multiplying formula.
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Find the indicated antiderivative. (a) Using substitution, find ∫x√1−x2dx (b) Using integrition by parts, find ∫ln(x)dx.
(a) The antiderivative of ∫x√\((1-x^2)\) dx using substitution is \(-2(1 - x^2)^{(1/2)} + C.\) (b) The antiderivative of ∫ln(x) dx using integration by parts is xln(x) - x + C.
(a) To find the antiderivative of \(\int\limits {x\sqrt{1-x^{2} } } \, dx\) using substitution, let's make the substitution \(u = 1 - x^2\). Then, we can find du/dx and solve for dx.
\(u = 1 - x^2\)
du/dx = -2x
dx = -du/(2x)
Now, substitute these expressions into the integral:
\(\int\limits {x\sqrt{1-x^{2} } } \, dx\) = ∫-x√(u) du/(2x)
= ∫-√(u)/2 du
Since x appears in both the numerator and denominator, we can simplify the expression:
∫-√(u)/2 du = -1/2 ∫√(u) du
To integrate √(u), we can use the power rule for integration:
∫\(u^n\) du = \((u^{(n+1)})/(n+1) + C\)
Applying this rule to our integral:
∫-√(u)/2 du \(= -1/2 * (u^{(1/2)})/(1/2) + C\)
\(= -2(u^{(1/2)}) + C\)
Now, substitute back \(u = 1 - x^2:\)
\(-2(u^{(1/2)}) + C = -2(1 - x^2)^{(1/2)} + C\)
(b) To find the antiderivative of ∫ln(x) dx using integration by parts, we need to choose u and dv to apply the integration by parts formula:
∫u dv = uv - ∫v du
Let's choose u = ln(x) and dv = dx. Then, du = (1/x) dx and v = x.
Applying the integration by parts formula:
∫ln(x) dx = uv - ∫v du
= ln(x) * x - ∫x * (1/x) dx
= xln(x) - ∫dx
= xln(x) - x + C
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Question 1a recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.a) how much sparkling water would you need to mix with 9 quarts of grape juice a) how much grape juice would you need to mix with 15/4 quarts of sparkling water- a) how much of each ingredient would you need to make 100 quarts of punch
Ratio:
Sparkling water / grape juice
1 1/2 / 3/4
a)
For 9/4 of grape juice:
x / 9/4
Equal both ratios:
1 1/2 / 3/4 = x /9/4
Solve for x:
(1 1/2 / 3/4) 9/4 = x
x= 4 1/2 of sparkling water
b)
For 15/4 of sparkling water:
15/4 / x
1 1/2 / 3/4 = 15/4 /x
x = 15/4 / (1 1/2 / 3/4)
x= 15/8
c)1 1/2 = 3/2
The Bailey’s spent $18.00 for 4 two-liter sodas for the birthday party this weekend. What is the number of soda bottles that could be bought for $45.00?
Answer:
10
Step-by-step explanation:
So I belive the answer consists of- 18 divided by 4 equals 4.5 and 45 divided by 4.5 is 10 so ten should be your answer.
If f (x) = 2x2 + 3x +2 and g(x) = x + 1, write an expression for
f(x) – g().
o 2.02 + 3x + 1
o 2,c2 + 2x + 1]
o 2.2 + 2x – 1
o 22 – 2.c + 1
Answer:
Step-by-step explanation:
\(f(x)-g(x)=2x^2+3x+2-x-1\\ \\ f(x)-g(x)=2x^2+2x+1\)
For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.
Answer: -4 and 9
Step-by-step explanation:
The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed? (Pie and л... hmmmm...interesting...)
Using the formula of area of a circle, about 226.08in² has been eaten
How much pizza is eaten?The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:
Area = π * r²
where π is approximately 3.14 and r is the radius of the circle.
Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.
Let's calculate the area of the entire pizza first:
Area = 3.14 * 12²
Area = 3.14 * 144
Area ≈ 452.16 square inches
Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:
Area of half of the pizza = 452.16 / 2
Area of half of the pizza ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.
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Help thank you Have a nice day
Answer:
161
Step-by-step explanation:
If we look at the picture given, the angle KJ is similar to angle KH since lines H and J are parallel lines cut by the line K.
Another thing to note is that all lines equal to 180 degrees.
SO, with this information, we can find the value of x by subtracting 180 by 19
180 - 19 = 161
Shawn had a piece of string 1/2 m long. He used 1/3 of it to tie a box. Find the length of the string which was used to tie the box.
Answer:
7/50
Step-by-step explanation:
First we have to find how much string we are going to cut into 5 pieces. We do this by taking 1/5 of 7/8 meter.
1/5 × 7/8 = 7/40
Now we have to subtract this from the original amount...
7/8 - 7/40 =
35/40 - 7/40 =
28/40 = 14/20 = 7/10
Now we divide this remaining string by 5 to find the length of the individual pieces...
7/10 ÷ 5 =
7/10 × 1/5 =
7/50 meter
The bearing of point Y from point X is 065⁰. The bearing of point Z from point Y is 140°. The bearing of point Z from point X is 100°. Find the bearing of point X from point Z.
The bearing of point X from point Z is 280°
How to solve the bearingTo find the bearing of point X from point Z, we need to use the principle of alternate angles in each point and sum of angles of a triangle
The triangle formed is as follows
angle x = 100 - 65 = 35
angle y = (180 - 140) + 65 = 105
angle z = 180 - angle y + angle x = 180 - 35 + 105 = 40
The bearing of point X from point Z,
= 360 - angle z - alternate angle from y
= 360 - 40 - 40
= 280
Bearing of X from Z = 280
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Four lines are shown in the graph below.
Which line has the slope with greatest value?
so
Step-by-step explanation:
you divide 1 by 2 then time the denominator by 69
Answer:
So B has the greatest value of slope.
Step-by-step explanation:
A has a negative slope, so A is out.
B, C and D all have positive slopes.
B has a greater slope than C, so C is out.
B has a finite slope, and D has a "slope" of infinite, but much of the time it does not count, because we do not make calculations with infinite slopes, and infinity is not a number (value).
So B has the greatest value of slope.
(4x+2)(x-2) can someone help me with this question?
Answer:
Use distributive property and multiply
Step-by-step explanation:
then you will get your polynomial
Answer:
if you needed it simplify its 4x^2-6x-4
What is the definition of vector in matlab?
arranging them such that no two rowing boats are in the same row or column. how many ways can he do this?
Total number of arrangements = n! - nC₁ × (n - 1)! - nC₁ × (n - 1)! + nC₂ × (n - 2)! + nC₁ × (n - 1)C₂ × (n - 3)! - nC₂ × (n - 2)C₁ × (n - 3)! + nC₁ × (n - 1)C₃ × (n - 4)! Suppose there are n rowing boats arranged in a square table with n rows and n columns. The solution is obtained through the application of permutations and combinations.
Step 1: We consider all the possible permutations of the rowing boats ignoring the fact that some boats may lie on the same row or column. The total number of such permutations is n!.
Step 2: We subtract from the number of permutations above, the number of permutations where two boats lie on the same row.
The number of permutations where two boats lie on the same row can be obtained as nC₁ × (n - 1)!
Step 3: Next, we add to the number of permutations in step 2, the number of permutations where two boats lie on the same column.
The number of permutations where two boats lie on the same column can be obtained as nC₁ × (n - 1)!
Step 4: We then subtract the number of permutations where two boats lie on the same row and the same column.
This is because we counted these arrangements twice in step 2 and step 3. The number of such permutations is nC₂ × (n - 2)!
Step 5: Next, we add the number of permutations where three boats lie on the same row, since they are subtracted thrice in step 2, step 3, and step 4. The number of such permutations is nC₁ × (n - 1)C₂ × (n - 3)!
Step 6: We then subtract the number of permutations where two boats lie on the same row and two boats lie on the same column.
This is because we counted these arrangements twice in step 4 and step 5. The number of such permutations is nC₂ × (n - 2)C₁ × (n - 3)!
Step 7: We add the number of permutations where four boats lie on the same row or column since we subtracted them four times in step 2, step 3, step 4, and step 6. The number of such permutations is nC₁ × (n - 1)C₃ × (n - 4)!
Total number of arrangements = n! - nC₁ × (n - 1)! - nC₁ × (n - 1)! + nC₂ × (n - 2)! + nC₁ × (n - 1)C₂ × (n - 3)! - nC2 × (n - 2)C₁ × (n - 3)! + nC₁ × (n - 1)C₃ × (n - 4)!
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Find the area of the trapezoid.
Hello and greetings faithrose22210.
Answer:
The area of the trapezoid is 63 cm².Step-by-step explanation:It is an exercise to calculate the area of a trapezoid is the amount of space within its limits and is calculated from the length of its bases and its height. A trapezoid is a four-sided polygon that has two parallel sides called bases and two non-parallel sides called sides. The height of the trapezoid is the distance between the two bases.
The formula to calculate the area of a trapezoid is:
A = (b1 + b2) x h / 2where b1 and b2 are the lengths of the bases and h is the height of the trapezoid.
To use this formula, it's important to remember that the bases must be in the same unit of measure (for example, centimeters or inches). The height must also be in the same unit of measure as the bases.
To find the area of a trapezoid, first add the lengths of the two bases. This sum is then multiplied by the height of the trapezoid. Finally, divide the result by 2. The final result is the area of the trapezoid, which is expressed in square units (for example, cm² or in²).
The measures of the trapezoid are:h = height = 7 cm
b = minor base = 8 cm
B = larger base = 10 cm
We know the formula to calculate the area, we substitute the data from the exercise and we solve the area of the trapezoid.A = ((b + B) × h)/2
A = ((8 cm + 10 cm) × 7 cm)/(2)
A = (18 cm × 7 cm)/(2)
A = 63 cm²
The area of the trapezoid is 63 cm².
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What is the explicit
equation for this
series?
2, 8, 14,
Answer:
2-8x14
Step-by-step explanation: hope this helpss !!
Answer:
6
Step-by-step explanation:
8-2=6
14-8=6
solve 3(2d-1)-2d=4(d-2)+5
Answer:
Any value of D would make this equation true (-∞,∞)
Answer:
infinitely many solutions
Step-by-step explanation:
i ready
On January 1,2020 (the date of grant). Novak Corporation issues 2,400 shares of restricted stock to its executives. The fair value of these shares is $111,000, and their par value is $12,000. The stock is forfeited if the executives do not complete 3 years of employment with the company. Prepare journal entries for January 1,2020, and on December 31, 2020, assuming the service period is 3 years. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter O for the amounts.)
Restricted stock refers to shares of stock given to a person subject to certain restrictions. It is an efficient method for attracting and retaining key employees because it incentivizes them to stay with the organization by giving them a financial interest in the company's success.
Restricted stock may be valued based on the current market price of the underlying stock at the time it is awarded. In this case, Novak Corporation issues 2,400 shares of restricted stock to its executives on January 1,2020 (the date of grant). The fair value of these shares is $111,000, and their par value is $12,000.The entries for Jan 1, 2020 are as follows: Restricted Stock ($99,000) Share Capital (Par Value) ($12,000) Additional Paid-In Capital ($87,000)These journal entries display the following information:
The corporation acknowledges the delivery of 2,400 shares of restricted stock worth $111,000 to its executives on January 1,2020.The par value of the shares is $12,000, meaning that each share has a par value of $5. As a result, the share capital account should be credited for the total par value of the shares, which is $12,000.
The remaining $99,000 ($111,000 - $12,000) represents the fair value of the shares given to the executives. The corporation must credit additional paid-in capital, an equity account, for this amount, as it is paid-in capital contributed to the corporation by investors.The entries for Dec 31, 2020 are as follows:
Compensation Expense ($33,000) Restricted Stock ($33,000)These journal entries display the following information: $33,000 is the yearly compensation cost (i.e., expense) related to the restricted shares granted to executives (one-third of the fair value). The compensation cost is debited to compensation expense, an income statement account. The balance in the restricted stock account ($99,000) is reduced by $33,000 to reflect the quantity of restricted stock given to the executives that have been earned for services delivered during the year. Restricted stock is credited for $33,000.
In the year 2020, the entries for the issuance of restricted stock to its executives on January 1 and the compensation expense and the related reduction in restricted stock at December 31 are provided in this solution.
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A magic square is a square array of numbers arranged so that the numbers in all rows, all columns, and the two diagonals have the same sum. Use the properties of a magic square to fill in the missing numbers in the magic square on the right. CO. 16 24 Use the figure with the letters below to give the missing numbers. CO A= B= C= B 16 D= E= E 24
Answer:
I think a is 9 cause 9+ 8 is 17 ??
The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
If we make the sum of each side diagonally then the sum should be 48.
So,
D+ 16 + 17 = 48
D = 15
And
15 + B + 8 = 48
B = 25
And,
25 + 16 + C = 48
C = 7
And,
8 + A + 17 = 48
A = 23
And,
15 + E + 24 = 48
E = 9
Hence "The value of A,B,C,D and E will be 23,25,7 15 ,and 9 respectively".
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NEED HELP ASAP!!!!
Which equations define y as a linear function of x ?
Select all that apply.
A
y=2x
B
y=5x3+3
C
y=12x−9
D
y=x2
E
y=4x2+2x
F
y=2(4x−2)+16
Answer: A, C, F
Step-by-step explanation:
2. Given: q//r
q is perpendicular to s
Prove: r is perpendicular to s
Which is the conclusion in the following argument. "Since the good, according to Plato, is that which furthers a person's real interests, it follows that
Group of answer choices
- the good, according to Plato, is that which furthers a person's real interests
- Neither of the above.
- in any given case, when the good is known, men will seek it
The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.
In a well-structured argument, the conclusion is what the argument aims to prove.
The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.
The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."
The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.
The statement "it follows that" is the premise that links the argument with the conclusion.
The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."
Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.
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pls help with math it is due soon
Answer:
x = 25
Step-by-step explanation:
- Use trigonometric ratios to solve for x
Cos(45) = x / (25×(2^0.5))
x = (Cos(45)) × (25×(2^0.5))
x = 25
Triangle ABC has vertices A (-1, 2), B (5, 2), and C (5,-3) and triangle XYZ has vertices X(-0.5, 1), Y(2.5, 1), and 2(2.5, "-1.5)." What is the scale factor of the dilation that maps Triangle ABC onto triangle XYZ. ((PLS HELP ITS DUE TOMORROW))
The solution is, the scale factor of the dilation that maps Triangle ABC onto triangle XYZ is √2.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
given that,
Triangle ABC has vertices A (-1, 2), B (5, 2), and C (5,-3)
and triangle XYZ has vertices X(-0.5, 1), Y(2.5, 1), and 2(2.5, "-1.5)."
now, we now that,
distance formula:
d=√(x2−x1)^2+(y2−y1)^2
so, we get,
length of AB = 3√2
and, length of XY = 3
so, scale factor = AB/XY
=3√2/3
=√2
Hence, The solution is, the scale factor of the dilation that maps Triangle ABC onto triangle XYZ is √2.
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