The linear function that gives the full-time year-round median salary for U.S. workers in t years after 2000 is given by:
S(t) = 30846 + 1097.7.
What is a linear function?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the constant rate of change.The coefficient b is the y-intercept of the function, which is the initial value of the function.Linear functions are used in situations when the rate of change is constant, or can be interpreted as a constant, and this rate is called the slope, as we stated above.
In this problem, we have that:
The reference year is of 2000, hence the intercept is of b = 30846, as it was the median salary during the year of 2000.In 20 years, the median salary increased to $52,800, hence the slope is calculated as follows: m = (52800 - 30846)/20 = 1097.7.Hence the linear function that models the situation is given as follows:
S(t) = 30846 + 1097.7.
What is the missing information?The complete problem could not be found on any search engine, hence we are going to suppose that it asks for a linear function for the median salary in t years after 2000.
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please help im not sure how this works
Answer:
b i nthink
Step-by-step explanation:
B. maybe?
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Find each of the numbers below.
Simplify your answers as much as possible.
The opposite of 0:
The opposite of 7:0
The opposite of the opposite of 6:
The opposite of 0 is 0, the opposite of 7 is -7 and the opposite of 6 is -6.
If we consider a number x, then the opposite of the number x will be equal to -x. In a number line the opposite of a number lying on the positive side always lies on the negative side of number line. Also, the opposite of a number -x is the x that is the number itself. It is given in the question that we need to find opposite of 0, 7 and 6.
Let x = 0, opposite of x is -x.
=> -x = -0
=> -x = 0
Now, let x = 7, opposite of x is -x
=> -x = -7
Now, let x = 6, opposite of x is -x
=>-x = -6
Thus, the opposite of the numbers 0, 7 and 6 are 0, -7 and -6 respectively.
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f a 10 percent reduction in price leads to a 20 percent increase in quantity demanded, the coefficient of elasticity of demand would be equal to _______
The coefficient of elasticity of demand would be equal to 2 .
The price elasticity of demand for a good determines how responsive the desired amount is to the price (PED).
When prices rise, demand declines for almost all products, but some products are more negatively impacted than others. When a price increases by 1% while all other factors remain constant, the price elasticity provides the percentage change in quantity required. If the elasticity is 2, a 1% increase in price results in a 2% drop in the amount sought. The effect of changes in other variables on the necessary quantity is measured by various elasticities.We know that the coefficient of elasticity of demand is given by
ED = Change in demand(percent) ÷ change in price (percent)
ED = 20% ÷ 10% = 2
Hence the coefficient of elasticity of demand would be equal to 2 .
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Select the relation that is a function
TRUE OR FALSE?
The Transitive property on N states that: For any two natural numbers a and b, either a > b or a = b or b> a.
Answer:
False a=b
Step-by-step explanation:
If √6 is the geometric mean between 4 and another number, then the number is
A. 9
B. 24
C. 1.5
Answer: THE ANSWER TO THAT IS C
Step-by-step explanation:
Please answer Part A and B
Answer:
a 47 b 34
Step-by-step explanation:
so basically its very easy im just trying to do a task so this is most probabilly noot correct
Answer: Part A: Figure D I Part B 3 Units to the left...
Step-by-step explanation: Because they are the same, but in different locations... : )
Over the last three evenings, Karen received a total of 130 phone calls at the call center. The second evening, she received 4 times as many calls as the third evening. The first evening, she received 10 more calls than the third evening. How many phone calls did she receive each evening?
3 answers for this problem.
CORRECT ANSWERS ONLY!!!
Annie is selling chocolate bars for school. The cost of 12 bars is $18.
A) What is the unit rate of 1 candy bar?
B)How many bars must Annie sell to make $75?
Answer:
A) $1.5
B)50 bars
Step-by-step explanation:
A) First find out how much money one bar costs: 18/12= 1.5
$1.5 is how much one costs
B) Now that you know how much one bar costs, divide 75 by 1.5 to determine how many bars you need to get to $75.
75/1.5=50
50 bars to get to $75
Answer:$1.50 per bar and she would have to sell 50 bars to get 75
Step-by-step explanation: brainliest please? i could really use it
Subtract these equations.
INFORMATION:
We have the next subtraction
And we must solve it
STEP BY STEP EXPLANATION:
To solve a subtraction of two expressions, we must multiply the second expression by -1 and then add up the first expression and the result of the multiplication.
1. Multiply the second expression by -1
[tex]\begin{gathered} -1(3x+2y=3) \\ -3x-2y=-3 \end{gathered}[/tex]2. Add up the first expression and the result of the multiplication. We must add similar terms
[tex]\begin{gathered} 3x+4y=17 \\ -3x-2y=-3 \\ -------- \\ 0x+2y=14 \\ →2y=14 \end{gathered}[/tex]Finally, the result of the subtraction is 2y = 14
ANSWER:
aA. 2y = 14
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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Please help with this
Explanation
Given the function
[tex]y=arctanx[/tex]The domain of the function is given as
[tex]-\inftyAnswer: Option 3What in the world how do you solve this?
Answer:
B
Step-by-step explanation:
using the rule of radicals
• [tex]\sqrt[n]{x}[/tex] ÷ [tex]\sqrt[n]{y}[/tex] = [tex]\sqrt[n]{\frac{x}{y} }[/tex], then
32[tex]\sqrt[8]{18y}[/tex] ÷ 8[tex]\sqrt[8]{3y}[/tex]
= [tex]\frac{32}{8}[/tex] ×[tex]\sqrt[8]{\frac{18y}{3y} }[/tex] ( cancel 18y and 3y by 3y )
= 4 × [tex]\sqrt[8]{6}[/tex]
= 4[tex]\sqrt[8]{6}[/tex]
Patrick lost his lunch money on the way to
school. If he can get thirteen of his friends
to each give him a quarter, he can buy a
school lunch. How much does a school
lunch cost?
$_
Answer:
$3.25
Step-by-step explanation:
Each quarter is 25¢
13 quarters will be worth 13 x 25 = 325¢
Since 1$ = 100¢
divide 325¢ by 100 to get amount in $
= 325/100 = $3.25
Send the answer's please.
Answer:
A 573308928
B. 124176266400000000000000000
Given the function f(x) in red, write the equation for the transformed function g(x)in green
Tell whether the ordered pair is a solution to the system of equations. You must show work to support your answer.a) (5,2)2x-3y=42x+8y=11
Replace x by 5 and y by 2 on both equations, and check if the equalities remain:
2x-3y=4
2(5)-3(2) =4
10-6= 4
4=4 EQUAL
2x+8y= 11
2(5) + 8(2)=11
10 + 16 = 11
26=11
26 is not equal to 11
The ordered pair is NOT a solution to the system of equations.
The change in the value of a stock is represented by the rational number -6.50 describe in words what this means
The rational number given in words mean that the value of the stock has declined or decreased by 6.50.
What is a negative number?A rational number is a number that can be expressed as a fraction of two integers. Rational numbers can be positive or negative.
A negative number is a number that is smaller than zero. A negative number usually has this sign, -, preceding it. An example of a negative number is -6.50.
When a stock's value is represented by a negative number, it means that the value of the stock has declined or fallen.
On the other hand, if the stock's value is represented by a positive number, it means that the value of the stock has increased.
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Find the area of the triangle:
Answer:30
Step-by-step explanation:
cos 20-2 cos0=-1
Find all solutions of the equation in the interval [0,2pie).
The solutions for the trigonometric cosine equation are [0, 90,2pi].
What is trigonometric cosine function?
Trigonometric is one of the branch in mathematics which is used to study the relationship between the length and angles. Its angle is categorized into six form depending upon their sides.
To calculate the solution of the given equation in the interval of [0, 2 pi].
Therefore, the given equation in the form of the trigonometric function is as written below:
[tex]cos^{2} 0 - 2cos0 +1 = 0\\(cos0-1)^{2} =0[/tex]
Hence, the solutions for the trigonometric cosine equation are [0, 90,2pi].
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Let sets A and B be defined as follows. A is the set of integers greater than -8 and less than -4.B={b,h,i,l,r,s}
A
Concept
The cardinality of a set is a measure of the "number of elements" of the set. For example, the set contains 3 elements, and therefore. has a cardinality of 3.
Set A is the set of integers greater than -8 and less than -4.
Therefore set A = {-7, -6, -5,}
-7 is greater than -8 and -5 is less than -4 from the number line.
Therefore, set A = { -7, -6, -5 }
B = {b, h, i, l. r, s }
Cardinalities of
n(A) = 3 n(B) = 6
B
[tex]\begin{gathered} -5\text{ }E\text{ A = true} \\ -12\text{ E A = false} \\ b\text{ E B = true} \\ t\text{ }\notin\text{ B = true} \end{gathered}[/tex]
Sentences to Algebraic EquationsTranslate the following sentence into equations and solve them.1. The quotient of a number and six is five. Find the number.
1. The quotient of a number and six is five.
he algebraic expression ifor the previous sentence is:
x/6 = 5
multiply by 6 to solve for x:
x = 5(6)
x = 30
. Eight decreased by twice a number is four.
- 2x = 4 subtract 8 both sides
-2x = 4 - 8
2x = -4 divide by -2 both sides
x = 2
3. Three less than the division of a number to seven is one.
3 - x/7 = 1 subtract 3 both sidesa
-x/7 = 1 - 3
x/7 = -2 multiply by -7 both sides
x = 2
4. Seven times the difference of 15 and a number equals - 56.
7(15 - x) = -56 a
7(15) - 7x = -56
105 - 7x = -56 subtract 105 both sides
-7x = -56 - 105
7x = -161 divide by -7 both sides
x = 23
The angle measures in a triangle are 25 degrees, 135 degrees, and 20 degrees. what type of triangle is it. isosceles triangleobtuse triangle right triangle acute triangle
25 degrees, 135 degrees, and 20 degrees
no 90 degree angle, so not a right triangle
all three angles are different, so not an isosceles triangle
135 > 90, so not an acute triangle
must be an obtuse triangle
I don’t understand how to do this i need all the help i can get. thank you.
The sum of the angles on a straight line is 180 degrees. This means that
angle MJO + angle NJO = 180
From the information given,
angle MJO = 131
angle NJO = 15x + 4
Thus,
131 + 15x + 4 = 180
135 + 15x = 180
15x = 180 - 135 = 45
x = 45/15
x = 3
We would substitute x = 3 into angle NJO = 15x + 4
angle NJO = 15 * 3 + 4 = 45 + 4
angle NJO = 49
the digits 3,4,5,6,7 and 8 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 800.
The probability of getting an even number greater than 800 is 0.08
Total outcomes possible when a three-digit number is formed without repetition:
Using the digits 3,4,5,6,7 and 8:
The first digit can be filled in using any of the 6 options
The second digit can be filled using the remaining 5 options
The third digit can be filled in using the remaining 4 options
So, total outcomes possible = 6*5*4 = 120 possibilities
Now, finding even number greater than 800:
The first digit can only be filled by 8 for a number to be greater than 800 which means there is only one option for the first digit
The second digit can be filled using any of the remaining options except 8 which means there are 5 options
The last digit can be filled using 4 and 6 because these are the only even numbers which mean 2 options
Total possible outcomes = 1*5*2 = 10 possibilities
The probability that the number is even and greater than 800:
= 10/120 = 0.08
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The stemplot displays 26 students' scores on a 90-point
statistics test. The lowest possible passing grade on the test was a 54 out of 90. What percentage of students passed this test ?
A. 23%
B. 54%
C. 77%
D. 96%
Answer:
C. 77%
Step-by-step explanation:
20 out of 26 people passed so
20 divided by 26 equals 76.9 so 77 percent
A factory produces sweatshirts for a sports team, and packages the sweatshirts in boxes of 20. Every
hour, the factory produces 9,284 sweatshirts.
How many full boxes of sweatshirts are packaged in 1 hour?
Answer:
464 remainder 2
Step-by-step explanation:
9284÷20
Write the equation of the line that passes through the points (0,3) and (2,-1). Put your answer in point-slope form, using fractional form for m and b.
The equation of the line will be y = -2x + 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that the equation of the line that passes through the points (0,3) and (2,-1).
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
First calculate the slope of the line:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -1 - 3 ) / ( 2 - 0 )
Slope = -2
The y-intercept will be:-
y = mx + c
3 = 0 + c
c = 3
Equation of the line:-
y = mx + c
y = -2x + 3
Therefore, the equation of the line will be y = -2x + 3.
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Noah has collected $50 by selling lemonade and muffins. He sold $10 worth of muffins. He sold each cup of
lemonade for $2. How many cups of lemonade did he sell?
Choose the correct equation.
a. 2x-10-50
b. 2x+10=50
c. 2x+50=10
d. 10x+2=50
select 3 statements one for Cosine one for Tangent and one for sine
From the unit circle, we can deduce the 3 correct statements.
1. The first correct sine statement is;
[tex]\sin 45=\frac{\sqrt[]{2}}{2}[/tex]2. The correct cosine statement is;
[tex]\cos 45=\frac{\sqrt[]{2}}{2}[/tex]3. The correct tangent statement is;
[tex]\tan 45=1[/tex]Here's a diagram to show why