Answers
Answer:
2916 cm^2
Step-by-step explanation:
Area = side x side = 54 x 54 or 54^2 = 2916 cm^2
Answer:
The other guy is right, 2916 cm^2 is the answer
Step-by-step explanation:
Do you need help with any other questions, if so I'm available to help you.
Related Questions
The daily temperatures for the winter months in Virginia are Normally distributed with a mean of 59 F and a
standard deviation of 10°F. A random sample of 10 temperatures is taken from the winter months and the mean
temperature is recorded. What is the standard deviation of the sampling distribution of the sample mean for all
possible random samples of size 10 from this population?
Answers
The standard deviation of the sampling distribution of the sample mean for the given sample size is equal to 3.1623°F.
For the normally distributed data,
Mean of the population distribution 'μ' = 59F
Population standard deviation 'σ' = 10°F
Sample size 'n' = 10
Formula for the standard deviation of the sampling distribution of the sample mean (also known as the standard error of the mean) is equal to ,
= σ / √(n)
Substitute the value to get the standard deviation of the sampling distribution of the sample mean we get,
= 10°F / √(10)
= 3.1623°F
Therefore, the standard deviation of the sampling distribution of the sample mean for all possible random samples of size 10 from this population is approximately 3.1623°F.
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Kate plans to save 5% of her income. She just earned 80.Howmuchmoneyshouldsheputintosavings?
Answers
$4
Multiply 80 by 0.05 to get the answer of $4
Answer:
4 (insert the currency needed)
Step-by-step explanation:
To find our answer we have to find 5% of Kate's wages and to do this we have to do 5 divided by 100. Then that answer is multiplied by 80!
5 ÷ 100 = 0.0580 × 0.05 = 4This means she has to put £4 into her savings!
Hope this helps, have a lovely day! :)
A man sells an article at rs 600and makes a profit of 20%. Calculate his profit percentage
Answers
Answer:
120
Step-by-step explanation:
20 percent of 600 is 120 so he will get 120
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answers
The length of the side labeled x is 75.3 when rounded to the nearest tenth which can be determined by using Pythagorean theorem.
What is Pythagorean theorem?The Pythagorean theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
To find the length of the side labeled x, we will first need to calculate the length of the other two sides.
For the first triangle, the hypotenuse is equal to the side labeled x, so the length of the side labeled x can be calculated using the formula:
x = √(35² + 42²) = 50.1
For the second triangle, the hypotenuse is the side opposite the right angle, which is equal to the side labeled x. We can calculate the length of the side labeled x using the formula:
x = √(60² + 50²) = 75.3
For the third triangle, the hypotenuse is the side opposite the right angle, which is equal to the side labeled x. We can calculate the length of the side labeled x using the formula:
x = √(28² + 34²) = 39.6
Therefore, the length of the side labeled x is 75.3 when rounded to the nearest tenth.
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The rounded value of x in the triangles is:
25) x ≈ 76
27) x ≈ 21
29) x ≈ 104
Give a brief account on trigonometric relations.All trigonometric identities are based on six trigonometric ratios. Sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of a right triangle as follows: Adjacent side, opposite side, and hypotenuse side.
25) Since, Sinθ = Opposite side/hypotenuse
Sin35° = 39/hypotenuse
hypotenuse = 39/Sin35°
Sin35° = 0.57
hypotenuse = 39/0.57
hypotenuse = 68.42
Now, using Pythagoras theorem:
hypotenuse² = base² + perpendicular²
68.42² = 39² + perpendicular²
4681.29 - 1521 = perpendicular²
4681.29 - 1521 = perpendicular²
3160.29 = perpendicular²
√3160.29 = perpendicular
56.21 = perpendicular
For the calculation of x:
Cosθ = Adjacent side/hypotenuse
Cos42° = 56.21/x
0.74 = 56.21/x
x = 56.21/0.74
x = 75.95
x ≈ 76
27) Cosθ = Adjacent side/hypotenuse
Cos60° = 14/hypotenuse
0.5 = 14/hypotenuse
hypotenuse = 14/0.5
hypotenuse = 28
Now, using Pythagoras theorem:
hypotenuse² = base² + perpendicular²
28² = 14² + perpendicular²
784 - 196 = perpendicular²
588 = perpendicular²
√588 = 24.24
perpendicular = 24.24
For the calculation of x:
Sinθ = Opposite side/hypotenuse
Sin50 = 24.24/hypotenuse
0.76 = 24.24/hypotenuse
hypotenuse = 24.24/0.76
hypotenuse = 31.89
Using Pythagoras theorem:
hypotenuse² = base² + perpendicular²
31.89² = x² + 24.24²
1016.97 = x² + 587.57
x² = 1016.97 - 587.57
x² = 429.4
x = √429.4
x = 20.72
x ≈ 21
29) Sinθ = Opposite side/hypotenuse
Sin28° = 44/hypotenuse
0.46 = 44/hypotenuse
hypotenuse = 44/0.46
hypotenuse = 95.65
Using Pythagoras theorem:
hypotenuse² = base² + perpendicular²
95.65² = 44² + perpendicular²
perpendicular² = 9148.92 - 1936
perpendicular² = 7212.92
perpendicular = √7212.92
perpendicular = 84.92
For the calculation of x:
Cosθ = Adjacent side/hypotenuse
Cos34 = 84.92/x
x = 84.92/0.82
x = 103.56
x ≈ 104
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a relationship that is noted between two or more variables is termed
Answers
The relationship that is noted between two or more variables is termed a correlation. Correlation refers to the statistical association or relationship between two or more variables.
It indicates the degree to which the variables are related or how they are related to each other. Correlation can be positive, negative, or zero, depending on the direction and strength of the relationship between the variables.
A positive correlation indicates that as one variable increases, the other variable also increases. A negative correlation indicates that as one variable increases, the other variable decreases. Zero correlation indicates that there is no relationship between the variables.
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Lucy initially invested $1,000 in a stock. The value of the stock increased exponentially over time by a rate of 3%. After 5 years, what is the value of the stock
Answers
Answer:
Were sorry! Answer is not available right now check in later.
Step-by-step explanation:
I need some help please
Answers
Given:-
[tex] \texttt{c = 1}[/tex][tex] \: [/tex]
[tex] \texttt{d = 3}[/tex][tex] \: [/tex]
Solution:-
[tex] \texttt{3(2c + d ) -4 ( c - d ) + d² }[/tex][tex] \: [/tex]
put the given values in tha equation
[tex] \texttt{= 3( 2 ( 1 ) + 3 ) -4 ( 1 - 3 ) + ( 3 )² }[/tex][tex] \: [/tex]
[tex] \texttt{= 3 ( 2 + 3 ) -4 ( -2 ) + 9}[/tex][tex] \: [/tex]
[tex] \texttt{= 3 ( 5 ) -4 ( -2 ) + 9}[/tex][tex] \: [/tex]
[tex] \texttt{= 15 + 8 + 9}[/tex][tex] \: [/tex]
[tex] \texttt{= 23 + 9}[/tex][tex] \: [/tex]
[tex] \boxed{ \texttt{ \purple{= 32}}}[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps ⸙
Write each polynomial in Standard form and name it based on its degree an number of terms.
9x²-213
Standard --
Degree
Terms
Answers
We would name this polynomial as a quadratic polynomial with two terms.
In standard mathematics, what is a polynomial function?A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.
In the standard form of a polynomial, the terms are written in descending order of degree. The standard form for a polynomial of degree n is:
a1x + a0 + anxn + an-1xn-1 +...
We have the polynomial in this case:
9x² - 213
To write it in standard form, rearrange the terms in descending order of degree as follows:
213 + 9x²
As a result, the standard form of the polynomial is:
9x² - 213
This polynomial has degree 2 (because x's highest exponent is 2) and two terms (since there are two distinct parts to the expression, a constant and a term with an x squared coefficient).
As a result, we'd call this polynomial a quadratic polynomial with two terms.
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what is the sum of all integer values of $x$ such that $\frac{31}{90} < \frac{x}{100} < \frac{41}{110}$ is true?
Answers
\begin{align*}
\frac{31}{90} < \frac{x}{100} &\iff 3100 < 90x < 31\cdot 100 \
\frac{x}{100} < \frac{41}{110} &\iff 100x < 41\cdot 110
\end{align*}
Solving the first inequality, we have $3100/90 < x < 31\cdot 100/90$, or $31/9 < x < 310/9$. Multiplying both sides by $9$ gives $31 < 9x < 310$, so $x$ can be any integer between $32$ and $34$ inclusive.
Solving the second inequality, we have $x < 41\cdot 110/100$, or $x < 45.1$. Since $x$ is an integer, the largest possible value of $x$ that satisfies this inequality is $45-1=44$.
Therefore, the possible values of $x$ are $32, 33, 34,$ and $44$, and their sum is $32+33+34+44=\boxed{143}$.
How do you find height when you are doing volume with cubic units?
Answers
Answer:calculate the cube root of a cube's volume.
Step-by-step explanation:
What is the solution to -1/2 [x-1] =0?
x=1
x=-1 or x=1
x=1 or x=2
No solutions exists
Answers
Answer:
x=1
Step-by-step explanation:
Mps Support
In Exploration 3. 1. 1 you found the area under the curve f(t) =
between 1 and 3. What was the approximate area that you came up
with? [Select)
In calculus you will learn more about the significance of this activity. At
what x-value would you stop at to have an area of exactly 1?
[Select]
What is that number called? (Select]
Answers
The approximate area under the curve f(t) = 1/t when found between 1 and 3 is equivalent to option D: 1.1.
Calculating an integral is called integration. Mathematicians utilize integrals to determine a variety of useful quantities, including areas, volumes, displacement, etc. Usually, when we talk about integrals, we mean definite integrals. One of the two primary calculus topics in mathematics, along with differentiation, is integration.
We can find the approximate area using the concept of integration as follows:
[tex]\int\limits^3_1 {1/t} \, dt[/tex]
We generally know that:
[tex]\int\limits^a_b {x} \, dx[/tex]= ㏑(x)
Therefore,
[tex]\int\limits^3_1 {1/t} \, dt[/tex]
= ㏑ (3) - ㏑ (1)
= 1.1, more specifically it would be 1.09.
From the table of logarithm, you can verify is equivalent to 1.1.
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Correct question is:
In Exploration 3.1.1 you found the area under the curve f(t)=1/t
between 1 and 3. What was the approximate area that you came
up with?
A. 1.3
B. .9
C. .7
D. 1.1
suppose 46.37% of all voters in the last election supported the current governor. a telephone survey contacts 328 voters from the last election and asks if they voted for the current governor. what is the probability that at least half of the voters contacted supported the current governor in the last election?
Answers
The probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election is 0.0532.
What is the probability?To calculate the probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election, we can use the binomial probability formula.
The formula is: P(x) = (ⁿCₓ) × pˣ × (1-p)⁽ⁿ⁻ˣ⁾
In this case, n = 328, p = 46.37%, and x = 164 (since half of 328 is 164).
Plugging in the numbers we get:
P(x) = ³²⁸C₁₆₄ × (0.4637)¹⁶⁴ × (0.5363)⁽³²⁸⁻¹⁶⁴⁾ = 0.0532
Therefore, the probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election is 0.0532.
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if cell phone companies screen text messages, then freedom of speech is threatened. thus, freedom of speech is not threatened, because cell phone companies do not screen text messages. which of the following correctly expresses the form of this argument? a. if c then f. b. not f. c. all c are f. d. if c then f. e. if c then f. not
Answers
The correct option that expresses the form of the given argument is "d. if c then f."Explanation:In the given argument, it is stated that if cell phone companies screen text messages, then freedom of speech is threatened.
But as cell phone companies do not screen text messages, so freedom of speech is not threatened. This is a conditional argument, and it can be expressed in the form of a hypothetical syllogism.
The hypothetical syllogism is a syllogism that has a conditional statement in its premises. It is also called a chain argument or transitive argument. The form of the hypothetical syllogism is "If A, then B. If B, then C.
Therefore, if A, then C."In the given argument, it can be expressed in the form of the hypothetical syllogism as follows:If cell phone companies screen text messages, then freedom of speech is threatened. If freedom of speech is threatened, then cell phone companies screen text messages. Therefore, if cell phone companies do not screen text messages, then freedom of speech is not threatened.This can also be represented as "if C then F."Therefore, the correct option that expresses the form of the given argument is "d. if c then f."
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14. The perimeter of the table shown is 18 feet. Write an equation
in the form px + q = r to solve for x.
6
Answers
Answer:
its 3
Step-by-step explanation:
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At the book store, you purchased some $3 clearance mystery books and $8 regular-priced science fiction books. How many of each did you buy if you spent a total of $77?
Answers
Answer:
we bought 12 $3 clearance mystery books and 5 $8 regular-priced science fiction books.
Step-by-step explanation:
25 out of 68 students have vanilla ice cream and the rest have chocolate. What is the ratio of the number of students who have vanilla to the total number of students?
Answers
Answer: The total number of students is the sum of the number of students who have vanilla and those who have chocolate:
Total = 25 + (68 - 25) = 43
The ratio of the number of students who have vanilla to the total number of students is:
Vanilla : Total = 25 : 43
This ratio cannot be simplified any further because 25 and 43 do not have any common factors other than 1. Therefore, the ratio of the number of students who have vanilla to the total number of students is:
25 : 43
Step-by-step explanation:
What is the area under the normal curve below the z- score of 1?
Answers
Answer:
One way is to realize that since the total area is 1, the area below z = 1 is equal to 1 minus the area above z= 1 which we know from before is 0.1587. So the area below 1 is 1 - 0.1587 = 0.8413.
During one season of racing at the Talladega Superspeedway, the mean speed of the cars racing there was found to be 158.9 mph with a standard deviation of 6.7 mph. What speed represents the 30th percentile for speeds of race cars at Talladega? Assume that the racing speeds are normally distributed.
Answers
Solution:Given, the mean speed of the cars racing = 158.9 mph standard deviation = 6.7 mph
To find:What speed represents the 30th percentile for speeds of race cars at Talladega?
We need to find the z-score for the 30th percentile.From the standard normal distribution table, the z-score for the 30th percentile is -0.52.Using the formula for z-score we havez=(x-μ)/σwhere x is the speed of the carsμ is the mean speed = 158.9σ is the standard deviation = 6.7Substituting these values in the above equation we have-0.52=(x-158.9)/6.7Rearranging we get,x - 158.9 =[tex]-0.52 × 6.7x - 158.9 = -3.524x = 158.9 - 3.524x = 155.376[/tex]The speed that represents the 30th percentile for speeds of race cars at Talladega is approximately 155.38 mph.
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What geometric shapes can you draw that have exactly one pair of parallel sides? Use pencil and paper. Sketch examples for as many different types of shapes as you can. Use appropriate marks to show the pairs of parallel sides.
A. regular pentagon
B. square
C. Trapezoid
D. parallelogram
Answers
The neck of a gifaffe is 4 1/2 feet in length. Its neck is 30 perocent of it height whats the higet of the giffae
Answers
The giraffe is 15 feet tall based on the relation between the length of neck of giraffe and it's height.
Firstly convert the mixed fraction to fraction.
Length of neck of giraffe = (4×2)+1/2
Length of neck = 9/2 feet
Now, let us assume the height of giraffe be x. So, equation will be -
30% × x = 9/2
Rewriting the equation
30/100 × x = 9/2
Cancelling zero
3x/10 = 9/2
Again rewriting the equation
x = 90/6
Performing division on Right Hand Side of the equation
x = 15 feet
Thus, height of giraffe is 15 feet.
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Let P be some predicate. Check the box next to each scenario in which ∀n ∈ N, P(n) must be true.
a) For every natural number k > 0 , if P(i) holds for every natural number i < k, then P(k) holds.
b) P(0) holds and for every natural number k > 0, if P(i) does not hold, then there is some natural number i < k such that P(i) does not hold.
c) For every natural number k, if P(i) holds for every natural number i < k, then P(k) holds.
d) For every natural number k, if P(k) does not hold, then there is a smaller natural number i < k such that P(i) does not hold.
Answers
Answer:
A
Step-by-step explanation:
a) ✔️
This is the principle of mathematical induction. If P holds for the base case k=1 and we can show that if it holds for any arbitrary k (e.g. k=n) then it must also hold for the next value (e.g. k=n+1), then we have shown it holds for all natural numbers.
b) ❌
There is no guarantee that P holds for all natural numbers from the statement alone. It only guarantees that for any k where P does not hold, there exists a smaller number i where P does not hold.
c) ❌
This is the principle of weak mathematical induction. It only shows that if P holds for a given k and for all smaller values i then it must hold for k+1. It does not guarantee that P holds for all natural numbers.
d) ❌
This statement is the negation of the principle of mathematical induction. It is known as the "strong induction" principle, which assumes that if P does not hold for k, then there exists a smaller i where P does not hold. However, this principle is not sufficient to prove that P holds for all natural numbers k.
Find the missing side. Round your
answer to the nearest tenth.
15 m
32°
X
Answers
Answer:
x=9.4
using soh cah toa:
x=opposite side
15=adjacent side
using tan(toa)
[tex]tan32=\frac{x}{15}[/tex]
[tex]x=15tan32[/tex]
[tex]x=9.4[/tex]
approximate the definite integral using the trapezoidal rule and simpson's rule. compare these results with the approximation of the integral using a graphing utility. (round your answers to four decimal places.) 3 1 ln(x) dx, n=4
Trapezoidal Simpson's Graphing Utility
Answers
From the graphing utility, we get the value of the integral as, Integral = 0.7206 Comparing the values of the integrals obtained from Trapezoidal rule, Simpson's rule and graphing utility, we find that the integral value obtained from the graphing utility is closest to the Simpson's rule.
We are given the definite integral ∫31ln(x)dx and we are required to approximate the integral using the trapezoidal rule and Simpson's rule. Also, we are supposed to compare these results with the approximation of the integral using a graphing utility using n=4.Trapezoidal Rule. The trapezoidal rule for numerical integration is a method to approximate the definite integral using linear interpolation.
This rule approximates the definite integral by dividing the total area into trapezoids. The formula for trapezoidal rule is given by:(Image attached)Here, a = 3 and b = 1The value of h can be calculated as follows;h=(b−a)/nh=(3−1)/4=0.5We need to calculate the values of f(1), f(1.5), f(2), f(2.5), f(3) using n = 4(Image attached)The value of integral using the trapezoidal rule is,Integral = 0.7201.
Simpson's rule is used to approximate the value of definite integral. Simpson's rule involves approximating the integral under the curve using the parabolic shape. This is done by dividing the area under the curve into small sections and then approximating each section with a parabolic shape. The formula for Simpson's rule is given as:(Image attached)Here, a = 3 and b = 1
The value of h can be calculated as follows;h=(b−a)/nh=(3−1)/4=0.5We need to calculate the values of f(1), f(1.5), f(2), f(2.5), f(3) using n = 4(Image attached)The value of integral using the Simpson's rule is,Integral = 0.7200Comparing with Graphing UtilityIntegral = 0.7201 (from Trapezoidal rule)Integral = 0.7200 (from Simpson's rule).
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Select the correct answer. Solve for x. x2 - 2x - 24 = 0
A.
-4, -6
B.
-4, 6
C.
2, -6
D.
4, 6
Answers
Answer:
B. -4, 6
Step-by-step explanation:
x2-2x-24=0
1st you must factor
x2+4x-6x-24=0
next factor by grouping and find gcf
x(x+4)-6(x+4)=0
you now have your factors so set then to 0 and solve for x
x+4=0
-4 -4
x=-4
x-6=0
+6 +6
x=6
assume that 1 laborer produces 6 units of output, 2 laborers produce 15 units of output, 3 laborers produce 25 units of output, and 4 laborers produce 34 units of output. diminishing returns to labor set in when the firm hires the
Answers
The marginal product of labor initially increases from 6 to 9, but then starts to decrease as more labor is added. Therefore, the firm experiences diminishing returns to labor when it hires a third laborer.
Diminishing returns to labor occur when the marginal product of labor (i.e., the additional output produced by adding one more unit of labor) decreases as more labor is added. We can calculate the marginal product of labor for each level of labor as follows:
1 laborer: 6 units of output (marginal product = 6)
2 laborers: 9 units of additional output (total output = 15, marginal product = 9)
3 laborers: 10 units of additional output (total output = 25, marginal product = 10)
4 laborers: 9 units of additional output (total output = 34, marginal product = 9)
The law of diminishing marginal returns is a concept from economics that explains how the marginal output of a production process starts to decrease as the input goes up. It is also used to refer to a point at which output increases at a diminishing rate as more units of labor are added to a production process. This can also be called the point of decreasing marginal productivity.
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Which is an equivalent fraction for 2/3
Answers
Answer:
2/3 is equivalent to the fraction 2/6
How much was one movie ticket in 2008
Answers
Answer: 7 dollars 18 cents.
Step-by-step explanation:
Find the amount of the following ordinary annuities rounded to the nearest cent. Find the tot
Amount of Deposited
Interest
Rate Time (Years) Amount of an
Annuity
Earned
each deposit
$1050
annually
5%
14
Answers
Answer:I=(PxRxT)/100
I=(10000x20x1)/100x2
I=200000/200
I=1000I=(
Step-by-step explanation:
The island of Martinique has received $32,000 for hurricane relief efforts. The island’s goal is to fundraise at least y dollars for aid by the end of the month. They receive donations of $4500 each day. Write an inequality that represents this
situation, where x is the number of days.
Answers
Answer:
The island of Martinique has received $32,000 for hurricane relief efforts. The island’s goal is to fundraise at least y dollars for aid by the end of the month. They receive donations of $4500 each day. Write an inequality that represents this
situation, where x is the number of days.
Step-by-step explanation:
The total amount raised after x days is given by:
Total amount raised = $32,000 + $4,500x
We want this to be at least y by the end of the month. Assuming that there are 30 days in the month, we can write the inequality:
$32,000 + $4,500x ≥ y
Alternatively, if we don't want to assume the number of days in the month, we can use a variable for the number of days:
$32,000 + $4,500x ≥ y
This inequality states that the sum of the initial donation and the donations received each day multiplied by the number of days must be greater than or equal to the fundraising goal y.
