Answer:
Hi, since their are 12 months in the year, you divide 60,000 (the annual salary), by the amount of months in the year to find the monthly salary. The answer is 5,000.
simplify this algebraic expression completely 5y - 3(y+2)
Answer: 2y - 6
Step-by-step explanation:
This problem utilizes the Distributive Property of Multiplication. It states that: a(x + y) = ax + ay.
Thus, utilizing this property (distributing -3), change the equation into:
5y - 3y - 6
Then, simply combine like terms to get:
2y - 6
Hope it helps :) and let me know if you want me to elaborate.
For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3
3. The factored polynomial is p(x) = (x - 1)(x - 5)
4. The factored polynomial is p(x) = (x + 3)²
What is a polynomial?A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.
3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.
This implies that its factors are (x - 1) and (x - 5)
So, the factored polynomial is p(x) = (x - 1)(x - 5)
4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots
This implies that its factors are (x - (-3)) = (x + 3) twice
So, the factored polynomial is p(x) = (x + 3)²
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Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38
MARK
The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.
What are mixed numbers?Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).
The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.
2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.
The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.
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Question :
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38/47
is 2/100 equivalent to 2/10
Answer:
no, because 2/10 is actually bigger than 2/100
Step-by-step explanation:
because if you think about a fraction as a part of a circle, and each of the denominators standed for one piece of the circle, then there would be way more pieces on the 100 circle and they would be smaller, thus, making 2 of them worth less than 2 of the circle with only 10 pieces.
Wednesday, the temperature was 60
F at 11AM and 36
F at 3PM. If the temperature
fell at a constant rate from 10AM to 3PM on that day, what was the temperature at
2PM rounded up to the nearest degree?
Answer:
Step-by-step explanation:
The x-coordinate is the number of hours since 11:00am, and the y-coordinate is the temperature in degrees Fahrenheit.
(0, 60)
(4, 36)
(change in temp)/(hours) = (36-60)/4 = (-24 degrees)/(4 hours) = (-6 degrees)/hour
y = -6x + 60
2:00pm is three hours after 11:00am
y = -6·3 + 60 = 42
Temperature is 42°F at 2:00pm
Translate this sentence into an equation. The product of Mabel's age and 4 is 56. Use the variable m to represent Mabel's age.
Answer:
4m = 56
Step-by-step explanation:
4 * m = 56
4m = 56
4/4m = 56/4
m = 14
Need help, pls!!!
ty!
The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.
The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.
The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).
Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
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Please help me!! Determine whether the function shown below is or is not periodic. If it is, find the period.
Answer:
I believe it is not periodic but I am not 100%
If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
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The rationale number between -1/3,1/4?
Answer:
1/6
Step-by-step explanation:
here is it
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
A retailer buys a jacket at a cost of $24 each and sells at a 75% increase in price. What is the retail price of a jacket?
Answer:
$42
Step-by-step explanation:
75%=(3/4) so you do (3/4)*24=18
18+24=$42
What is the value of n in the equation 1/2(n-4)-3=3− (2n + 3)?
Answer:
n = 2
Step-by-step explanation:
\(\frac{1}{2}\) (n - 4) - 3 = 3 - (2n + 3) ← distribute parenthesis on both sides
\(\frac{1}{2}\) n - 2 - 3 = 3 - 2n - 3 ( simplify both sides )
\(\frac{1}{2}\) n - 5 = - 2n ( multiply through by 2 to clear the fraction )
n - 10 = - 4n ( add 4n to both sides )
5n - 10 = 0 ( add 10 to both sides )
5n = 10 ( divide both sides by 5 )
n = 2
Multiplying intergers practice look at pic
Since you already know how to multiply, how you do this is when you see a negative sign your answer will come out as positive, and if there's no negative sign then your answer is positive. If there's 2 negative signs then your answer is positive.
(+)(+) = positive
(-)(+) = negative
(-)(-) = negative
The perimeter of a playing card is 32 centimeters. It is 10 centimeters tall. How wide is it?
Answer:
Step-by-step explanation:
Its is
6CM wide. as to find the area we have to times the length x height :)
Answer:
wide = 6 cm
Step-by-step explanation:
\(t=tall=10\)
\(w=wide=?\)
\(P=perimeter=32\)
The equation:
\(P=2t+2w\)
\(32=2(10)+2w\\32=20+2w\)
\(32-20=2w\\12=2w\)
\(\frac{12}{2} =w\)
\(6=w\)
Hope this helps.
please help! Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement. Angle P has the same measure as angle P'. T or F Angle Q has the same measure as angle R'. T or F Angle R has the same measure as angle R'. T or F
Step-by-step explanation:
Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and
then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement.
Angle P has the same measure as angle P'. T or F
Angle Q has the same measure as angle R'. T or F
Angle R has the same measure as angle R'. T or F
IF RIGHT PLZ GIVE BRAINLIEST
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HAVE A GREAT DAY AND BE SAFE :)
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How much of a radioactive kind of iodine will be left after 52 hours if the half-life is 13 hours and you start with 592,032 grams?
The formula for half-life is:
\(A=A_0e^{kt}\)where A is the amount of the substance after a certain time
A₀ = the initial value of the substance
e = the natural number with a value of 2.71828
k = decay rate
t = time
These are the given information in the question.
At t = 13 hrs, A₀ = 592, 032 grams, A = half of 592, 032 grams = 296, 016 grams.
At 52 hrs, A₀ = 592, 032 grams, A = ?
Before we can solve for the final value of the substance after 52 hrs, we need to solve for the decay rate "k" first. To solve that, let's use the information given at 13 hrs.
\(\begin{gathered} A=A_oe^{kt} \\ 296,016=592,032e^{k(13)} \end{gathered}\)Solve for k. To do that, start dividing both sides by 592, 032.
\(\begin{gathered} \frac{296,016}{592,032}=\frac{592,032e^{13k}}{592,032} \\ \frac{1}{2}=e^{13k} \\ \ln \frac{1}{2}=13k \\ \text{Divide both sides by 13.} \\ k=\frac{\ln \frac{1}{2}}{13} \\ k=-0.053319 \end{gathered}\)Therefore, the decay rate of iodine is 0.053319 or -5.3319%
Now, let's apply this decay rate to solve for the final value of the substance after 52 hrs.
\(\begin{gathered} A=A_oe^{kt} \\ A=592,032e^{-0.053319(52)} \end{gathered}\)Solve for A.
\(\begin{gathered} A=592,032e^{-2.772588} \\ A=592,032(0.0625) \\ A\approx37,002.03 \end{gathered}\)Hence, after 52 hours, there is an approximate of 37, 002.03 grams of iodine left.
Help me please in need of it
Answer:
-2
Step-by-step explanation:
Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).
5. A conical shaped pile of sand at the beach has a base circumference of 16.5 feet
and stands 10.4 feet high. The Department of Public Works is going to remove
75% of the sand. How much sand will be left in the pile after they remove 75% of
the sand?
Answer: 18.78 cubic feet
Step-by-step explanation:
The detailed analysis is attached below.
4000 is 0.8% of what number?
Answer:
the correct answer should be 500,000 hope this helps
4000 is 0.8% of 500000.
Graph a quadratic function with a vertex at (2, -3) with a = 3.
Answer:
bottom one
Step-by-step explanation:
use (x , y)
the top one is -3,2
the bottom one is 2,-3
This graph represents function of y = 3(x−2)²-3.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
The vertex form of parabola :
y=a(x−h)²+k
(h,k)is the vertex of the parabola, and
Substitute vertex(2,-3), into equation
y = a(x−2)²-3
Substitute a = 3 into equation
y = 3(x−2)²-3
Here is a graph of the y = 3(x−2)²-3
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Translate the sentence into an equation.
Eight more than the quotient of a number and 7 is equal to 3.
The " Eight further than the Quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
The equation 8( x/ 7) = 3 represents the judgment " Eight further than the Quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
" Eight further than" implies addition, so we've 8 " The quotient of a number and 7" means dividing a number by 7, so we've x/ 7 " is equal to" means that the expression on the left side is equal to the expression on the right side, so we've = " 3" is the value to which the expression on the left side is equal, so we've 3 Putting it all together the judgment " Eight further than the quotient of a number and 7 is equal to 3" can be restated into the equation ( x/ 7) = 3
In this equation, x represents the number we're trying to find. To break for x, we can manipulate the equation using algebraic operations to insulate x on one side of the equation. By abating 8 from both sides of the equation, we get ( x/ 7)- 8 = 3- 8 Simplifying, we have x/ 7 = -5
To insulate x, we can multiply both sides of the equation by 7 *( x/ 7) = -5 * 7 This gives us x = -35 thus, the equation 8( x/ 7) = 3 represents the judgment " Eight further than the quotient of a number and 7 is equal to 3," and the result to the equation is x = -35.
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Can you help me with this if you’re a smart person
What is the solution to the system of equations graft below
Answer:
( 2,-3)
Step-by-step explanation:
The solution to the system of equations is where the two graphs intersect
The two graphs intersect at x = 2 and y = -3
( 2,-3)
Analyzing a Solution
Mark used a number line to model dividing by 3. He
3
divided the number line from 0 to 1 in 3 equal sections,
and then divided each of those sections into 2 equal
1
parts. Mark says+3 is 3.
Is his answer correct? Explain why or why not.
No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.
Mark's answer is not correct.
When dividing a number line into equal sections, the value of each section represents a fraction of the whole.
In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.
Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.
So far, this is correct.
However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.
So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.
Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.
Mark made an error by mistakenly assuming that each smaller division represents the number 3.
In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.
The correct representation for dividing the number line as described is 1/6.
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Please help this make no sense to me
Step-by-step explanation:
See image below
Answer: 37cm²
Step-by-step explanation:
Prior to the Academy Awards ceremony in 2009, the United Kingdom bookmaker Ladbrokes reported the following odds for winning an Oscar in the category of best actress (The Wall Street Journal, February 20, 2009).
Best Actress Movie Odds
Anne Hathaway Rachel Getting Married 2:11
Angelina Jolie Changeling 1:20
Melissa Leo Frozen River 1:33
Meryl Streep Doubt 3:10
Kate Winslet The Reader 5:2
a. Express the odds for each actress winning as a probability. (Round your answers to 3 decimal places.)
Best Actress Probability
Anne Hathaway
Angelina Jolie
Melissa Leo
Meryl Streep
Kate Winslet
Answer:
Anne Hathaway: 0.154 = 15.4%
Angelina Jolie: 0.048 = 4.8%
Melissa Leo: 0.029 = 2.9%
Meryl Streep: 0.231 = 23.1%
Kate Winslet: 0.714 = 71.4%
Step-by-step explanation:
Odds to probability:
Odds of a:b
The probability is given by:
\(p = \frac{a}{a+b}\)
Anne Hathaway 2:11
So \(p = \frac{2}{2+11} = \frac{2}{13} = 0.154\)
Angelina Jolie 1:20
So \(p = \frac{1}{1+20} = \frac{1}{21} = 0.048\)
Melissa Leo 1:33
So \(p = \frac{1}{1+33} = \frac{1}{34} = 0.029\)
Meryl Streep 3:10
So \(p = \frac{3}{3+10} = \frac{3}{13} = 0.231\)
Kate Winslet 5:2
So \(p = \frac{5}{5+2} = \frac{5}{7} = 0.714\)
Which rules define the function graphed below?
65
4
3
32
(0.2)
-2
-3-
(3,5)
--3--2--11 1 2 3 4
O y=x; y = 5
O y = x + 2; y = 5
O y=x; x = 5
O y=x+2; x = 5
The rules that define the piecewise function graphed are as follows:
y = x + 2, y = 5.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:
m = (5 - 2)/(3 - 0) = 1.
The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:
\(y = x + 2, 0 \leq x \leq 3\)
For x greater than 3, the function is constant at y = 5, hence the definition is:
y = 5, x > 3.
Hence, the rules that are used to define the piecewise function graphed are as follows:
y = x + 2, y = 5.
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are the following ratios equal. write yes or no. use the theroem that the product of the extremes equals the product means.
The ratios will be equal if the theorem that the product of the extremes equals the product means follows.
Let us understand the equality of ratios through example. The example ratio will be -
7:10 = 21:30
In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.
Product of extremes = 7 × 30
Extremes product = 210
Product of means = 21 × 10
Means product = 210
Since the products are equal, the ratios are also equal.
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The complete question is -
Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.
Ratio = 7:10 and 21:30.
A president of a company wants to know if his employees think he is doing a good job. Which descriptions represents a sample? Select all that apply.
the president of the company’s family and relatives
the 5,000 residents of the town
25% of the workers at the company
the 1,000 total employees of the company
50% of the retirees from the company
The sample can be 25% of the workers of the company and 50% of the retirees.
Sampling is the practice of selecting a small group of individuals (a statistical sample) from a statistical population in order to make an educated guess about the characteristics of the full population.
It is utilized in survey methodology, quality control, and statistics. The goal of statisticians is to obtain samples that are representative of the population being studied. Sampling provides insights and is more economical and expedient than assessing the entire population when it is not practicable to do so.Each sample provides a numerical value for one or more properties of certain objects or individuals, such as their size, location, color, or weight. Weights can be applied to the data in survey sampling, particularly in stratified sampling, to account for the sample design.Now of the given options sample can only be selected from the groups that directly affect the president of the company.
Therefore the options will be :
25% of the workers at the company
50% of the retirees from the company
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