The given expression is (2⋅3)2−52. Therefore, the simplified expression is 11.
To simplify this expression, we first need to apply the exponent rule, which states that (a⋅b)c = ac⋅bc. In this case, we have:
(2⋅3)2 = 22⋅32
Next, we need to simplify the exponents. We have:
22⋅32 = 4⋅9 = 36
Finally, we need to subtract 52 from 36. We have:
36−52 = 36−25 = 11
Therefore, the simplified expression is 11.
Answer: 11.
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how to convert 33 inches to feet?
As per the conversion factor, 33 inches is equivalent to 2.75 feet.
When we want to convert one unit to another, we use conversion factors to do so. A conversion factor is a ratio that represents the relationship between two units of measurement. In this case, we want to convert inches to feet.
To convert inches to feet, we need to use the conversion factor of 1 foot equals 12 inches. This means that for every 12 inches, we have 1 foot. To convert 33 inches to feet, we divide 33 by 12.
33 inches ÷ 12 inches/foot = 2.75 feet
To summarize, we used the conversion factor of 1 foot equals 12 inches to convert 33 inches to feet. We divided 33 by 12 to get the equivalent value in feet, which is 2.75. Always remember to use the appropriate conversion factor when converting units to avoid mistakes.
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it is impossible to get 8 aces when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is
It is not possible to get 8 aces from a standard 52 cards deck. The indicated degree of likelihood as a probability value is 0 (Zero).
The procedure for probability states that the possibility of an occurrence occurring, or P(E), equals the proportion of the number of favorable outcomes to the number of total outcomes.
Mathematically,
Possibility (E) = favorable outcomes/total outcomes.
We know that there are four aces in total in a 52-card deck.
Therefore the probability of getting 8 aces can be expressed by using the factorial of the number. This can result in a decrease of numbers by multiplying the previous number, this is called the factorial of a number.
P(8A) = 7/52 × 6/51 × 5/50 × 4/49 × 3/48 × 2/47 × 1/46 × 0/45
P(8A) = 0
The probability of getting is zero.
Therefore, it is not possible to get 8 aces from a standard 52 cards deck.
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f c(x) = 4x – 2 and d(x) = x2 + 5x, what is (c circle d) (x)?
Answer:
[tex]16x^2-24x+9[/tex]
Step-by-step explanation:
To find (c circle d)(x), we need to first find d(c(x)) and then simplify.
First, we need to find c(x) and substitute it into d(x), as follows:
d(c(x)) = d(4x - 2) = (4x - 2)^2 + 5(4x - 2)
Expanding the square and simplifying, we get:
d(c(x)) = 16x^2 - 24x + 9
Now, we have (c circle d)(x) = d(c(x)) = 16x^2 - 24x + 9.
The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Answer:
Step-by-step explanation:
Answer:
so the bike is 7. car is 8 walk is 9 bus is 12 so in total it will be 36 pupils to travel to school
Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if there is one; e. the following function values. f(0) f(3)
Answer: look at the image for the answer and explanation
Step-by-step explanation:
PLEASE HELP URGENTLY
John wants to save money on fuel. His friend tells him: You can save 1/3 of the cost of your fuel by driving efficiently. John spends £72 each week on fuel for his car. He thinks driving efficiently can save him £100 every 4 weeks. Is John correct? Show why you think this us.
Please help ASAP! thank you! 15 points
Choose the correct inequality for this real-world situation: a corvette’s maximum speed is 195 mph. Let S represent speed.
The inequality that models the situation is given as follows:
195 ≥ s.
What are the inequality symbols?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.For this problem, we have that the speed, represented by variable s, must be of at most 195 mph, hence the inequality is given as follows:
s ≤ 195.
Meaning that 195 is greater than or equal to s, hence:
195 ≥ s.
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how to convert microliter to ml
Answer:
1 Microliter = 0.001 Milliliter
Step-by-step explanation:
What are units?A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.
Converting these units:
1 Microliter = 0.001 Milliliter1 Milliliter = 1,000 MicroliterTherefore, for every 1 microliter it is equivalent to 0.001 Milliliter.
solve the equation explicitly for y and differentiate to get y ′ in terms of x.1/x+1/y=1
Solving the equation explicitly for y and differentiating we get y' = -1/(x - 1)²
What is differentiation?Differerentiation is the process of finding the derivative of a function.
How to solve the equation explicitly for y and differentiate to get y ′?Since we have the equation 1/x + 1/y = 1, to solve explicitly for y, we make y subject of the formula.
So, 1/x + 1/y = 1
1/y = 1 - 1/x
y = 1/(1 - 1/x)
To find y', we differentiate y with respect to x.
So, y' = dy/dx
= d[1/(1 - 1/x)]/dx
Let u = 1 - 1/x
So,y' = d(1/u)/dx
= d(1/u)/du × du/dx
Now,
d(1/u)/du = -1/u² and du/dx = d(1 - 1/x)/dx = d1/dx - d(1/x)/dx = 0 - (-1/x²) = 1/x²So, substituting these into dy/dx, we have that
y' = = d(1/u)/du × du/dx
= -1/u² × 1/x²
= -1/(ux)²
= -1/[(1 - 1/x)x]²
= -1/(x - 1)²
So, y' = -1/(x - 1)²
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How to represent factorial as a product notation?
The factorial of a number n is the product of all positive integers up to and including n
The factorial function is typically represented using the "!" symbol, such that n! represents the product of all positive integers up to and including n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
To represent the factorial function using product notation, we can write:
n! = ∏_{i=1}^n i
This means that we take the product of all positive integers from 1 to n, which is equivalent to computing n!. For example, using this notation, we can write:
5! = ∏_{i=1}^5 i = 1 x 2 x 3 x 4 x 5 = 120
Note that the product starts at i=1 and goes up to n, which includes all the positive integers we want to multiply together.
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On Tuesday, the number of orange cakes Aadil needs in his sample is 5 correct to the nearest whole number. Aadil takes at random a cake from the 750 cakes made on Tuesday. b) What is the lower bound of the probability that the cake is an orange cake, giving your answer as a decimal?
Answer:
A) 210 B) 0.18
Step-by-step explanation:
got it right
what value of h is needed to complete the square for the equation
To complete the square for the equation [tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],
we need to choose h = -2.
To complete the square for the given equation
[tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],
we need to express the left-hand side of the equation in the form
[tex](x - p)^2 + q[/tex], where p and q are constants.
We can start by expanding the right-hand side of the equation:
[tex](x - h)^2 + 16 = x^2 - 2hx + h^2 + 16[/tex]
Now we can compare the coefficients of [tex]x^2[/tex], x, and the constant term on both sides of the equation:
[tex]x^2 + 8x + 32 = (x - p)^2 + q[/tex]
=> [tex]p^2 = 0[/tex] (since the coefficient of [tex]x^2[/tex] is 1 on both sides)
=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)
=> h = -2 (solving for h)
=> q = [tex]h^2 + 16[/tex] = 20 (since the constant term on the right-hand side is 16)
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The complete question may be:
What value of h is needed to complete the square for the equation [tex]x^2+8 x+32=(x-h)^2+16[/tex] ?
If the charity raised $160 last year, determined how much money each department will receive from this year fundraiser. Show the process you used for determining your answer
Answer: To determine how much money each department will receive from this year's fundraiser, we need to know the percentage of the total amount raised that each department will receive. We can calculate this by dividing the amount raised by the total percentage allocated to each department. Here is an example calculation:
Assuming there are three departments - A, B, and C, and they will receive 40%, 30%, and 30% of the total amount raised, respectively.
Step 1: Calculate the total percentage allocated to all departments
40% + 30% + 30% = 100%
Step 2: Calculate how much money each department will receive based on their percentage share of the total amount raised
Department A: 40% of $160 = $64
Department B: 30% of $160 = $48
Department C: 30% of $160 = $48
So, department A will receive $64, department B will receive $48, and department C will receive $48 from this year's fundraiser.
Note: The percentage allocation for each department is assumed in this example, so you should adjust the percentage according to your specific situation.
Step-by-step explanation:
I will give 40 points!
Eight subtracted from the product of 4 and a number is less than 26. Translate the sentence into an inequality
Answer:
(4 × y) - 8 = <26
Step-by-step explanation:
The equation for this problem is:
(Let y = the unknown number)
(4 × y) - 8 = <26Therefore, you can use (4 × y) - 8 = <26 as an inequality for this problem.
PLS HELLLLLLLPPPPP I NEED TO GET THIS QUESTION DONEEEEEEEEEE
The values in the composite functions are (u o w)(2) is 7 and (w o u)(2) is 3
What is composite functionA composite function is a function that results from the combination of two or more functions. To form a composite function, the output of one function is used as the input of another function. The composite function can be represented by a single formula or equation, which combines the individual functions.
Let's say we have two functions f(x) and g(x). The composite function f(g(x)) is formed by using the output of the function g(x) as the input of the function f(x). In other words, we first apply g(x) to x, and then we apply f(x) to the result. The resulting composite function is written as f(g(x)).
In the problem given;
u(x) = x² + 3
w(x) = √(x + 2)
a.
(u o w)(2) = 7
b.
(w o u)(2) = 3
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What's the domain of this function graph? please help!!!!!!!!!
Answer:
The domains are (1,4,9) Ranges are (-1,-2,-3)
Step-by-step explanation:
The domain is on the x-axis and the range is on the y-axis
Find the complex numbers calculator
The complex numbers calculators are Symbolab, Desmos, Wolfram Alpha etc.
There are many online calculators available for performing calculations involving complex numbers. Here are a few options :
Symbolab : Symbolab is a popular online math tool that includes a complex numbers calculator.
Desmos : Desmos is a powerful online graphing calculator that also includes support for complex numbers
Wolfram Alpha: Wolfram Alpha is a computational search engine that can perform a wide range of mathematical calculations, including those involving complex numbers
These are just a few options, but there are many other online calculators and resources available for performing calculations involving complex numbers.
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Help me please it is math
−13w−7
Explanation:
−6w+(−8)+1+(−7w)
Add −8 and 1 to get −7.
−6w−7−7w
Combine −6w and −7w to get −13w.
−13w−7
Answer: -13w-7
-6w - 8 + 1 -7w
-6w + - 8 + 1 + -7w
Which graph represents x > (y – 2)2 – 4? On a coordinate plane, a parabola opens up and goes through (0, 0), has a vertex at (2, negative 4), and goes through (4, 0). Everything outside of the parabola is shaded. On a coordinate plane, a parabola opens up and goes through (0, 0), has a vertex at (2, negative 4), and goes through (4, 0). Everything inside of the parabola is shaded. On a coordinate plane, a parabola opens to the right and goes through (0, 4), has a vertex at (negative 4, 2), and goes through (0, 0). Everything inside of the parabola is shaded. On a coordinate plane, a parabola opens to the right and goes through (0, 4), has a vertex at (negative 4, 2), and goes through (0, 0). Everything outside of the parabola is shaded.
The given inequality is x > (y – 2)2 – 4. To graph this inequality, we first need to plot the vertex of the parabola, which is (2, -4). This point is included in the shaded region because the inequality is "greater than" and not "greater than or equal to". Next, we need to determine whether the parabola opens upward or downward. Since the coefficient of the squared term is positive, the parabola opens upward.
Now, we need to decide which side of the parabola to shade. To do this, we can choose a test point that is not on the parabola and substitute its coordinates into the inequality. For example, the point (0,0) is a convenient test point. Substituting x=0 and y=0 into the inequality, we get:
0 > (0 – 2)2 – 4
0 > 0
Since 0 is not greater than 0, the point (0,0) is not in the shaded region. Therefore, we need to shade the side of the parabola that does not contain the point (0,0).
Among the given options, only the first one matches the graph described above. Therefore, the answer is: the graph that represents x > (y – 2)2 – 4 is the one where a parabola opens up and goes through (0, 0), has a vertex at (2, -4), and everything outside of the parabola is shaded.
help me plsssssssssssss
Answer: i think its 40
Step-by-step explanation: because triangles in general are supposed to have the angle 180 and 40 add 400 add 100 equals 180
what is 9 in inches in cm ?
Answer:
22.86
multiple 3.54 to 9
Hyo can type 200 words in 5 minutes. How long would it take Hyo to type a 500-word paper?
Each side of a regular hexagon measures 8 inches.
What is the exact area of the hexagon?
Enter your answer in the box.
The exact answer without rounding is 166.276877527
The area of a hexagon can be calculated by finding the area of one of the six triangles that make it up by 6.
I added a picture below on how I got it and how it looked like!
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
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6.) Paul's car can go at most 375 miles on one tank of
gas. Paul fills the tank and then drives 167 miles. Write
and solve an inequality to find out how many more miles
Paul can drive before he will have to refill the tank.
Interpret your answer.
Therefore , the solution of the given problem of inequality comes out to be Paul can drive at most 208 more miles before he will have to refill the tank.
What does inequality mean ?A connection or collection of variables without the equal sign is a mathematical inequality. Equilibrium is typically followed by equity. Inequality happens when two values are not equal. Differences exist between equality and inequality. It was decided to utilize the most factors symbol because the quantities are not identical or equivalent (). Any discrepancy, regardless of how small or large, can be used to compare values.
Here,
Let x be the number of miles Paul can drive before he will have to refill the tank.
Since Paul's car can go at most 375 miles on one tank of gas, and he has already driven 167 miles, we can write the inequality:
x ≤ 375 - 167
Simplifying, we get:
x ≤ 208
Therefore, Paul can drive at most 208 more miles before he will have to refill the tank.
Interpretation: If Paul drives more than 208 miles, he will not have enough gas to complete the journey and will need to refill the tank.
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Prepare closing entries. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. If no entry is required, select "No Enty" for the account titles and enter O for the amounts)
As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Based on the information provided in the image, here are the closing entries for the accounting period:
Close the revenue accounts:
Account Titles Debit Credit
Income Summary 34,000
Service Revenue 34,000
Close the expense accounts:
Account Titles Debit Credit
Salaries Expense 8,000
Rent Expense 6,000
Supplies Expense 1,500
Income Summary 15,500
Close the Income Summary account to the Retained Earnings account:
Account Titles Debit Credit
Income Summary 19,500
Retained Earnings 19,500
Therefore, As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.
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Highwood Park is constructing a children's play area that will be completely fenced
with three entrance and exit gates. The number of feet of fencing needed to enclose
the children's play area can be determined using the formula f = 47(a + 9) – 16
where f represents the feet of fencing and a represents the area. If Highwood Park
has 420 feet of fencing, what is the area of the space?
The area of the play area is 8.74 square feet.
If Highwood Park has 420 feet of fencing, then we can use the formula f = 47(a + 9) – 16 to calculate the area of the play area.
This formula takes in account the area (a) of the play area, as well as the number of feet of fencing needed to enclose it (f).
In this equation, the number of feet of fencing (f) is equal to 47 multiplied by the area (a) plus 9, and then subtracted by 16.
Since we know that the amount of fencing is 420 feet, we can solve the equation for the area, a.
First, we need to subtract 16 from both sides of the equation. This leaves us with
=> 420 = 47a + 9.
Next, we subtract 9 from both sides of the equation, which gives us
=> 411 = 47a.
Finally, we divide both sides of the equation by 47, which gives us
=> a = 8.74.
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Define Moore’s law. How Moore’s law is associated with exponential function.
Moore's law is an observation made by Gordon Moore, co-founder of Intel Corporation, in 1965. It states that the number of transistors on a microchip doubles approximately every two years, while the cost of the chip is halved. Essentially, this means that computing power increases exponentially over time.
Moore's law is associated with exponential functions because it describes a situation in which a quantity (the number of transistors) grows at a rate proportional to its size, resulting in exponential growth. Exponential functions are often used to model phenomena in science, engineering, and other fields that exhibit this kind of behavior. In the case of Moore's law, the rate of growth is approximately 41% per year, or a doubling every 1.5 to 2 years. The formula for exponential growth is:
y = a * (1 + r)^tWhere:
y = the final amounta = the initial amountr = the annual growth ratet = the number of yearsMoore's law can be expressed using this formula as:
N = N0 * 2^(t / T)Where:
N = the number of transistorsN0 = the initial number of transistorst = the time elapsed since the initial observationT = the doubling time (approximately 2 years)For example, if a microchip had 1,000 transistors in 2000, according to Moore's law it would have 2,000 in 2002, 4,000 in 2004, 8,000 in 2006, and so on. The exponential function describes the growth of the number of transistors over time, and the formula allows us to predict future values based on past observations.
~ Zeph
evaluate (4xy+y)÷2 when x=3 and y=2
Answer: 13
Step-by-step explanation:
Firstly, you would plug in the values that you were given for x and y into the equation.
((4 * (3) * (2)) + (2))/2 = 13
Answer:
13
Step-by-step explanation:
(4xy+y) ÷ 2
= (4x3x2+2) ÷ 2
= 26 ÷ 2
= 13
A regular octagon has an area of 576 square centimeters and an apothem of 16 cm.
What is the length of each side of the octagon?
Enter your answer in the box.
The length of each side of the octagon with area of 576 square centimeters and an apothem of 16 centimeters is 9 centimeters .
Area of an Octagon:Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.
The formula for the area of a regular octagon is:
A = 4 × apothem × side
Using this formula and the given values, we can solve for the length of each side of the octagon:
576 = 4 × 16 × side
Dividing both sides by 4 × 16, we get:
side = 576 ÷ (4 × 16)
Simplifying the right-hand side, we get:
side = 576 ÷ 64 = 9 cm.
Therefore, the length of each side of the octagon is 9 cm .
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Answer:
Step-by-step explanation:
Show that (10w+3)(w-1) -(2-3w)² ≡ w² + bw + c, where b and c are integers to be found
Answer:
w² + 5w - 7
b = 5
c = -7
Step-by-step explanation:
(10w + 3)(w - 1) - (2 - 3w)² (distribute)
10w² - 10w + 3w - 3 - (2 - 3w)² (combine like terms)
10w² - 7w - 3 - (2 - 3w)² (expand (2 - 3w)²)
10w² - 7w - 3 - ((2 - 3w)(2 - 3w)) (distribute)
10w² - 7w - 3 - (4 - 6w - 6w + 9w²) (combine like terms)
10w² - 7w - 3 - (4 - 12w + 9w²) (distribute the negative)
10w² - 7w - 3 - 4 + 12w - 9w² (combine like terms)
w² + 5w - 7
Therefore, b = 5 and c = -7.
