False. Taxes and Social Security contributions are not deducted from a expressions person's total compensation and do not go to their employer.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
False. Taxes and Social Security contributions are not deducted from a person's total compensation and do not go to their employer. They are instead often paid to government agencies or other approved beneficiaries.
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find the intercepts of the graph of y=x^2-25
The intercepts of the graph of y = x²- 25 are (-5, 0), (5, 0), and (0, -25).
What is the use of graph in maths?Data can also be presented as a table. However, when the information is presented graphically, it is much easier to understand. There are many types of charts and each of them serves specific purposes in different fields.
To find the x-intercepts of the graph, we need to set y = 0 and solve for x:
0 = x²- 25
Adding 25 to both sides gives:
25 = x²
Taking the square root of both sides gives us:
x = ±5
So the x-intercepts are (-5, 0) and (5, 0). To find the y-intercept, we need to set x = 0 and solve for y:
y = 0²-25
y = -25
So the y-intercept is (0, -25).
Therefore, the intercepts of the graph of y = x² - 25 are (-5, 0), (5, 0), and (0, -25).
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with a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because
With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.
With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.
This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.
With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.
This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.
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With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.
With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.
This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.
With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.
This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.
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You spend $124.54 at Walmart but have to pay the addition 8.5% sales tax. How much sales tax do you owe?
The sales tax owed on a $124.54 purchase at Walmart with an 8.5% sales tax rate is $10.59.
Suppose you spent $124.54 at Walmart and the sales tax rate is 8.5%. To calculate how much sales tax you owe, we first need to convert the sales tax rate from a percentage to a decimal. We do this by dividing the percentage by 100. So, the sales tax rate in decimal form is:
8.5% ÷ 100 = 0.085
Next, we multiply the purchase price by the sales tax rate in decimal form to calculate the amount of sales tax owed:
$124.54 × 0.085 = $10.59
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The scores on a test are normally distributed, with a mean of 82 and a standard deviation of 8. What percent of scores are less than 90? Explain your answer.
WILL GIVE BRAINLIST
By calculating the CDF of normal distribution, the percentage of scores that are greater than 90 are 14.6%.
The CDF function of a Normal distribution is calculated by translating the random variable to the Normal Standard, and then looking up a value from the precalculated "Phi" function (Φ), which is the cumulative density function of the normal standard. The Normal Standard, often written Z, is a Normal with mean 0 and variance 1. Thus, Z∼N(μ=0,σ²=1).
Let x1, x2, .... be the scores on the test.
X ~ N (82, 64)
P(90 < X < 100) = Φ(18/8) - Φ(1) = 0.146 (using norm.s.dist function in excel)
Step-by-step explanation:
cores Distribution and Percentile
The scores on a test are normally distributed, with a mean of 82 and a standard deviation of 8. What percent of scores are less than 90? Explain
To find the percentage of scores that are less than 90 in a normally distributed test with a mean of 82 and a standard deviation of 8, we can use the cumulative distribution function (CDF) of the normal distribution.
The CDF of a normal distribution gives the probability that a random variable falls below a particular value. In this case, we want to find the probability that a score is less than 90.
The formula for the CDF of a normal distribution is:
CDF(x) = (1/2) * (1 + erf((x - μ) / (σ * sqrt(2))))
where erf is the error function, μ is the mean, σ is the standard deviation, and x is the value we want to find the cumulative probability for.
Plugging in the given values:
μ = 82
σ = 8
x = 90
We can calculate the cumulative probability using the formula:
CDF(90) = (1/2) * (1 + erf((90 - 82) / (8 * sqrt(2))))
Using a calculator or statistical software that provides the error function, we can find that erf(1.0) is approximately 0.6827.
Plugging this value back into the formula, we get:
CDF(90) = (1/2) * (1 + 0.6827) = 0.8414
So, the cumulative probability that a score is less than 90 is approximately 0.8414, or 84.14%.
Therefore, about 84.14% of the scores are less than 90 in this normally distributed test.
jessica purchased a large cookie in the shape of a spring peep. After arriving home, she ate part of the cookie and had 1/4 remaining. She decided to give the rest of her cookie to her three sisters to let them share equally. What fraction of the original cookie will each of her sisters get to eat
3/4
If she ate part of the large cookie and was left with 1/4 of the cookie, that means only 3/4 of the cookie is left.
$480, 15% interest, 1.5 years. Find the interest to the nearest cent for each principal, interest rate, and time.
The simple interest earned after 3 years on $500 at an interest rate of 6% is $90.
Simple interest is a type of interest that is calculated based only on the initial amount borrowed or invested, called the principal amount, and does not take into account any additional interest earned on the interest over time.
To find the simple interest earned on $500 at an interest rate of 6% after 3 years, we can use the formula:
Simple Interest = Principal x Rate x Time
Where
Principal = $500
Rate = 6% = 0.06 (in decimal form)
Time = 3 years
Plugging these values into the formula, we get
Simple Interest = $500 x 0.06 x 3
= $90
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I have solved the question in general, as the given question is incomplete.
The complete question is:
Find the simple interest earned after 3 years on $500 at an interest rate of 6%.
help pleasejhdfjg THIS ASSIGNMENT IS LIKE 2 WEEKS OVERDUE
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas (b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below. (c) The final total area is 2x² - 10x - 15.
What is an area model?An area model is a way to visualize multiplication by breaking up the larger rectangle into smaller rectangles whose areas represent the products of the terms being multiplied. To determine the correct rows and columns for the area model, we count the number of terms in each factor and use that as a guide. For example, if one factor has 3 terms and the other has 4 terms, we would use a 3x⁴ area model, with 3 rows and 4 columns.
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas.
b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below.
2x⁴ − 3x³ − 2x² − 4x − 1
+---------------------------------------
x | 2x⁵ -3x⁴ -2x³ -4x² -x
|
3 | 6x⁴ -9x³ -6x² -12x -3
+---------------------------------------
c) To find the total area of a rectangle with length (x + 8) and width (x − 5), we can use an area model with 2 rows and 2 columns. The length (x + 8) corresponds to one dimension of the rectangle, while the width (x − 5) corresponds to the other dimension. The area of each smaller rectangle in the model represents the product of one term from each factor.
x + 8 x - 5
+--------------------
x | x² + 8x x² - 5x
|
-5 | -5x + -40 -5x + 25
+--------------------
The final total area can be found by adding up the areas of the smaller rectangles:
Total area = x² + 8x + x² - 5x - 5x - 40 + 25
= 2x² - 10x - 15
= 2x² - 10x - 15.
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Change the function f(x)=2x^2+4x+3 into vertex form.
Answer:
f(x) = 2(x + 1)² + 1
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
given
f(x) = 2x² + 4x + 3 ← factor out 2 from the first two terms
= 2(x² + 2x) + 3
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 2x
f(x) = 2(x² + 2(1)x + 1 - 1) + 3
= 2(x + 1)² - 2(1) + 3
= 2(x + 1)² - 2 + 3
= 2(x + 1)² + 1 ← in vertex form
You jump off the high dive at a swimming pool. Your
height as a function of time is modeled by
h = 16t² + 12t + 30, where t is the time in
seconds after you jump and h is the height in feet.
What is your maximum height, in feet?
Answer: 33.375 feet
Step-by-step explanation:
To find the maximum height, we need to find the vertex of the parabolic function h = 16t² + 12t + 30.
The vertex of a parabola with equation y = ax^2 + bx + c is located at x = -b/2a and y = c - b^2/4a.
In this case, a = 16, b = 12, and c = 30.
So,
t = -b/2a = -12/(2*16) = -3/8
h = 16(-3/8)² + 12(-3/8) + 30 = 33.375
Therefore, the maximum height reached is 33.375 feet.
nvm I got it, it’s x2+7x+5 :)
The simplified form of the given expression, can be found to be A. x² + 7x + 5.
How to find the simplified expression ?Simplified expressions are algebraic expressions that have been reduced to their simplest form by applying the rules of arithmetic and algebra.
To simplify the expression, we add the corresponding terms from both expressions:
(-3x² + 2x - 4) + (4x² + 5x + 9)
Combine the x² terms: -3x² + 4x² = 1x² (or simply x²)
Combine the x terms: 2x + 5x = 7x
Combine the constants: -4 + 9 = 5
So, the simplified expression is:
x² + 7x + 5
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PLEASE HELP SOSOSOSOSOS
Consider this system of equations
{10x + 13y + 15z = 4
{ 12x - 2y + 5z = - 8
{ 2x + 2y - 6z = 4
The system can be represented by the following matrix equation where A is a 3 x 3 matrix and ⇾b is a 3D vector
[ x
A [ y = ⇾b
[ z
Find A and ⇾b
The given system of equations can be represented in matrix form as:
| 10 13 15 | | x | | 4 |
| 12 -2 5 | x | y | = |-8 |
| 2 2 -6 | | z | | 4 |
Therefore, the matrix A is:
| 10 13 15 |
| 12 -2 5 |
| 2 2 -6 |
And the vector ⇾b is:
| 4 |
|-8 |
| 4 |
BigDecimal gives you control over how values are rounded. By default:
a. all calculations are approximate and no rounding occurs.
b. all calculations are approximate and rounding occurs.
c. all calculations are exact and no rounding occurs.
d. all calculations are exact and rounding occurs.
BigDecimal gives you control over how values are rounded. By default option(d) all calculations are exact and rounding occurs.
BigDecimal is a Java class that provides a way to perform exact calculations on decimal numbers with a high degree of precision and control over rounding. Unlike primitive data types, such as double and float, which are prone to rounding errors due to their binary representation, BigDecimal stores numbers using a base-10 representation, allowing for more precise calculations.
Additionally, it allows the programmer to specify rounding rules, such as rounding up or down to a certain number of decimal places, ensuring that the results of calculations are accurate and consistent. This makes BigDecimal a useful tool for applications that require precise numerical calculations, such as financial and scientific applications.
Therefore, the correct option is (d) all calculations are exact and rounding occurs
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You invest $1000 in a certificate of deposit (CD) that earns 5% interest every year. If the function that represents growth of your money is f(x)=1.05x, in what year will your CD be at least worth $1,300
Answer: Year 6
Step-by-step explanation: The year my money would be at least $1300 is year 6.
In what year would the money be at least $1300?
The formula that can be used to determine the number of years that $100 would have a value of $1300 is:
Number of years = In(FV / PV) / r
Where:
FV = future value
PV = present value
r = interest rate
In(1300 / 1000) / 0.05
0.2623642645 / 0.05
= 5.2 years
Future value in 5 years = $1000(1.05^5) = $1276.28
Future value in 6 years = $1000(1.05^6) = $1340.10
Sam finds a car for $9800. If he puts 20% down, how much will he have to borrow?
Sam will have to borrow $7840.
If Sam puts 20% down on a car that costs $9800, the down payment would be 20% of $9800 which is $1960.
The amount he will have to borrow is the difference between the cost of the car and the down payment. So, $9800 - $1960 = $7840.
This calculation can be done by first finding the percentage of the total cost that is required as a down payment and then subtracting that amount from the total cost to find the remaining amount that needs to be borrowed.
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2 fractions with different denominators that add up to 6 1/3
The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.
First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.
Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.
Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:
1/2 = 3/6
x/6
Now we need to find the value of x that makes the sum of the fractions equal to 19/3:
3/6 + x/6 = 19/3
To solve for x, we can multiply both sides by 6:
3 + x = 38/3
Then, we can subtract 3 from both sides:
x = 29/3
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In the triangle, suppose that mZH=(2x-3)°, m< 1= (5x+7)°, and m < J= xº.
(2x-3)-
00
Equation:
✓ 10
(b) Find the degree measure of each angle.
m 2 H =
m 21=
m2J=
✓ 11
(a) Write an equation to find x. Make sure you use an "=" sign in your answer.
✓12
DID
$
Answer:
Step-by-step explanation:
To find x and the degree measure of each angle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
(a) Writing an equation to find x, we have:
mZH + m<1 + m<J = 180
(2x - 3) + (5x + 7) + x = 180 (substituting given angle measures)
8x + 4 = 180 (combining like terms)
8x = 176
x = 22
Therefore, x = 22 is the solution to the equation.
(b) To find the degree measure of each angle, we can substitute x = 22 into the given expressions:
mZH = 2x - 3 = 2(22) - 3 = 41 degrees
m<1 = 5x + 7 = 5(22) + 7 = 117 degrees
m<J = x = 22 degrees
Therefore, the degree measures of the angles are mZH = 41 degrees, m<1 = 117 degrees, and m<J = 22 degrees.
Can someone please help me ASAP? It’s due tomorrow!! I will give brainliest if it’s all correct
Please do part a, b, and c
The mean and range of the same population can differ if there is a significant difference between the sampled respondents.
Between Jayden and Carter, Carter's calculation will provide a better understanding of the population.
The reason is that he sampled more people with a wider time range.
Why the mean and range differThe mean is the average number of minutes it took for the respondents to dress up. The goal of any survey work is to capture a significant size of the population whose opinions can give a true picture of the situation being examined.
In the case of Carter, we see that he took a more sizable amount of the population having randomly selected 7 samples of 10 students. A greater number of respondents will give a truer picture of the factor being surveyed.
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Below is the table of values of a function. Write the output when the input is n.
input
output
3
7
8
n
output
6
14
16
*blank*
Answer:
input output
3 7
8 16
n blank
Step-by-step explanation:
we can see that the function's output is twice the input plus one. Therefore, when the input is 6, the output will be 2 * 6 + 1 = 13. When the input is 14, the output will be 2 * 14 + 1 = 29. However, since the output for the input value "n" is not given in the table, we cannot determine the output for that input.
I hope it helps you
Question 7 of 8
Which variable is most important to the following problem?
Ralph and Patrick play on a basketball team. Ralph played the whole first
quarter and the first 4 minutes of the second quarter. Patrick played the rest
of the second quarter and all of the third quarter. Ralph played the whole
fourth quarter. Each quarter is 10 minutes long. How long did Patrick play?
O A. the number of minutes Patrick played
B. the number of substitutions between Patrick and Ralph
C. the number of players on the team
OD. the length of a quarter
Answer:
D. the length of the quarter
Step-by-step explanation:
Given Patrick started playing 4 minutes into the 2nd quarter, and played until the end of the 3rd quarter, you want to know how long Patrick played.
QuarterIf q is the length of a quarter, Patrick's playing time is ...
2q -4 . . . . minutes
In order to give this a numerical value, we need to know the value of q.
The most important variable to the problem is ...
D. the length of a quarter.
<95141404393>
As a candle burns, it decreases in height by 2 inches every hour. If the candle is 12 inches tall when it is lit, how will the height change over time? If the candle burned for 2 hours, how many inches tall will it be?
Answer: If every hour the candle decreases in height by 2 inches, turn it into a chart! If you learned this already, figure out which variable is the constant and the decrease in height for each hour. Or you could just multiply the amount of hours by 2, there for 2x2=4 so that a 4 inch decrease. 12-4=8 and the candle will be 8 inches tall. Hope this helps :D
Step-by-step explanation:
the model shows the fraction 2/4 A student uses the model to find 5/2 and 2/3
5/3 is greater than 1 (it's 1.67), and the product will be located on a number line to the right of 2/3. As a result, "The product will be located to the right because is greater than 1." is correct.
what is the fraction model?The area model, linear model, and set model are the three major types of fraction models. Evidence demonstrates that allowing pupils to deal with all three models is critical for establishing a conceptual knowledge of fractions.
The student is utilizing the model to calculate the product of 5/2 and 2/3, or (5/2) x (2/3).
To multiply fractions, simply multiply their numerators and then their denominators. So:
(5/2) x (2/3) = (5 x 2) / (2 x 3) = 10/6 = 5/3
Because 5/3 is greater than 1 (it's 1.67), the product will be located on a number line to the right of 2/3. As a result, "The product will be located to the right because is greater than 1." is correct.
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Complete question:
I know the answer is 9 but can someone explain it?
Answer:
A
Step-by-step explanation:
[tex]\frac{9x+7}{2}[/tex] - [ x - [ [tex]\frac{-2}{7}[/tex] ]] = 36← distribute bracket by - 1
[tex]\frac{9x+7}{2}[/tex] - x +[tex]\frac{x-2}{7}[/tex] = 36
multiply through by 14 ( the LCM of 2 and 7 ) to clear the fractions
7(9x + 7) - 14x + 2(x - 2) = 504 ← distribute parenthesis on left side
63x + 49 - 14x +2x - 4 = 504 ← simplify left side
51x + 45 = 504 ( subtract 45 from both sides )
51x = 459 ( divide both sides by 51 )
x = 9
Tiffany’s mother bought a car for $9000 five years ago. She wants to sell it to Tiffany based on a 15% annual rate of depreciation.
Part A. Identify each feature of the problem as it relates to the context and the exponential growth formula: y=a(1−r)t
.
a=
r=
Part B. Which equation correctly models the context of the problem?
Choose : A. y=9000(0.15)t
or B. y=9000(0.85)t
Answer : The equation is
Part C.
Tiffany wants to buy the car from her mother now. (t = 5)
A fair price for the car will be about $
in 5 years.
A) The correct features is,
⇒ a = 9000
⇒ r = 15%
B) The equation correctly models the context of the problem is,
⇒ y = 9000 (0.85)ˣ
We have to given that;
Tiffany’s mother bought a car for $9000 five years ago.
And, She wants to sell it to Tiffany based on a 15% annual rate of depreciation.
Now, We have;
the exponential growth formula is,
⇒ y = a(1 − r)ˣ
Here, We have;
⇒ a = 9000
⇒ r = 15%
Thus, We get;
The equation correctly models the context of the problem is,
⇒ y = a(1 − r)ˣ
⇒ y = 9000 (1 - 0.15)ˣ
⇒ y = 9000 (0.85)ˣ
Therefore, We get;
A) The correct features is,
⇒ a = 9000
⇒ r = 15%
B) The equation correctly models the context of the problem is,
⇒ y = 9000 (0.85)ˣ
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Erica wants to fill the bottom of a planter with 2 in. of rocks, then fill the rest of the planter with soil all the way to the top. She wants the volume of the soil to be exactly 640 in.³. What could be the shape of Erica's planter? 12 in. 0- 1 10 in. 10 in. 8 in. 8 in. 10 in. 8 in. 10 in. 12 in. 8 in. 8 in. 10 in.
Answer: b
Step-by-step explanation:
I didnt get it but thats the correct answer when i guessed on it
Answer:
The answer is the skin est one there
Step-by-step explanation:
I got the question wrong so I don't know how but this is the correct one
For log normally distributed returns, the annual geometric average return is greater than the arithmetic average return. (True or False)
Given statement: For log normally distributed returns, the annual geometric average return is always greater than the arithmetic average return.
The given statement is true.
This is because log normal distribution assumes that the rate of return is compounded continuously, which leads to a higher final value of the investment.
For lognormally distributed returns, the geometric average return is greater than the arithmetic average return.
This is because the lognormal distribution has a positive skew, meaning that there are more small positive returns and fewer large negative returns.
This leads to compounding effects over time, which favor the geometric average return.
The geometric average return is calculated by taking the nth root of the product of (1+Ri),
where Ri is the return for the ith period.
The arithmetic average return is calculated by taking the average of the returns over a period.
Therefore, for lognormally distributed returns, the geometric average return is greater than the arithmetic average return.
The geometric average return takes into account the compounding effect, whereas the arithmetic average return does not.
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-3×(2×-5) how do u solve it
The value of 3×(2×-5) is 30
What is meant by the term value?
Value refers to the worth or usefulness of something, typically determined by its usefulness, desirability, or importance in relation to other things. It can also refer to the ethical or moral principles and beliefs that guide a person's actions and behaviours.
According to the given information
To solve the expression -3×(2×-5), we first need to evaluate the expression inside the parentheses:
2×-5 = -10
Then, we can substitute this value into the original expression and simplify further:
-3×(-10) = 30
Therefore, -3×(2×-5) = 30.
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Find a possible solution to the equation cos(x+2)=sin(3x)
A.
x=0. 5 degrees
B.
x=1 degree
C.
x=22 degrees
D.
x=44 degrees
A possible solution to the equation cos(x+2)=sin(3x) is x = 22 degrees
The correct answer is an option (C)
Consider a trigonometric equation,
cos(x+2) = sin(3x)
For value x = 0.5 degrees,
cos(x + 2) = cos(2.5)
= 0.999
and sin(3x) = sin(1.5)
= 0.026
For x = 1 degree,
cos(x + 2) = cos(3)
=0.9986
sin(3x) = sin(3)
= 0.052
For x = 22 degrees
cos(x + 2) = cos(24)
= 0.913
sin(3x) = sin(66)
= 0.913
for x = 44 degrees,
cos(x + 2) = cos(46)
= 0.69
sin(3x) = sin(132)
= 0.743
Therefore, the solution to an equation cos(x+2) = sin(3x) is x = 22 degrees
The correct answer is an option (C)
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Visual work of 44. 4 divided by 100 with decimal moves
By division rule of fraction, dividing 44.4 by 100 results to 0.444, that is shifts three decimal places (to right).
We can divide 44.4 by 100 using simple rule of division.
Rewriting 44.4 in fractional form we get,
44.4 = 444/10
Dividing 444/10 by 100 we can write it in fractional form as 444/10*100.
Therefore, 44.4 divided by 100 in fractional form can be written as 444/1000.
Applying division rule of fractions,
Dividend is 444 and divisor is 1000.
Since the denominator of the fraction has three zeros (in divisor 1000) by properties of fraction the decimal place of the numerator shifts three places to its right.
Also something divided by one is the same value as its initial value.
Thus as 444 shifts to three decimal places (on its right) it becomes 0.444 as the denominator is 1*1000.
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How many planes of symmetry does a right pyramid with an isosceles triangle base have?
Answer: The amount of planes of symmetry a right pyramid with an isosceles triangle base has four.
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Find the area of the shape
The measure of angle ABD (which is the same as angle CBD) is 45 degrees.
Is a parallelogram in the figure of a CBD? Why?The quadrilateral's opposing sides are equal. Triangles ABC and ABCD have equal angles on either side of their equal sides. In the quadrilateral ACBD, the opposing angles are also equal. A parallelogram is formed by ACBD.
We can use the fact that the total of the angles of a triangle is always 180 degrees to determine the measure of angle CBD. As a result, we have:
Angle ABD + Angle CBD + Angle BCD = 180 degrees
Substituting the given angle measures, we get:
Angle ABD + Angle CBD + 90 degrees = 180 degrees
Simplifying, we get:
Angle ABD + Angle CBD = 90 degrees
But we know that Angle ABD = Angle CBD, so we can substitute:
2 x Angle ABD = 90 degrees
Dividing both sides by 2, we get:
Angle ABD = 45 degrees
So, the measure of angle ABD (which is the same as angle CBD) is 45 degrees.
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