Answer:
If the pharmaceutical sales representative meets her target for Medication A, she will receive 60% of the $20,800 bonus, or $12,480. When added to her base salary of $68,400, her total compensation for the year would be $80,880.
Step-by-step explanation:
Answer:
The total would be 99,620
Step-by-step explanation:
29400*0.80=23520
Add the amount to the base salary
76100+23520=99,620
What is the domain of the function below?
A) x < 2
B) x ≤ 3
C) x ≥ 2
D) All Real Numbers
Answer:
I would say (option A)
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values can be any number. Therefore, we have all real numbers as our domain:
→ A) x < 2.
Hope this helps!
1: What number must be multiplied by (5x + 6) to result in the expression 20x + 24?
2: On the first day of a road trip, you drive x miles.
On Day 2, you drive 10 more than twice the miles driven on Day 1.
On Day 3, you drive 100 miles less than Day 1.
Write an expression to represent the miles driven on each day of the road trip, then write a final simplified expression representing the total miles driven in three days.
a) Day 1:
b) Day 2:
c) Day 3:
d) Final simplified expression to represent total miles driven in three days:
e) Look at your expression for c) Day 3: "100 miles less than Day 1." Describe a real-word situation to explain why order matters when writing this expression.
1. The number that must be multiplied by (5x + 6) to result in the expression 20x + 24 is 4.
2. An expression representing the miles driven on each day of the road trip and a final simplified expression of the total drives in three days are as follows:
a) Day 1: x
b) Day 2: 2x + 10
c) Day 3: x - 100
d) Final simplified expression to represent total miles driven in three days: 4x + 10 - 100.
e) A real-world situation in which order matters when writing the expression x - 100 is that the value of x is supposed to be more than the value of 100.
What is a mathematical expression?A mathematical expression is the combination of constants, numbers, mathematical operators, and variables without the equation sign (=).
Literarily, a mathematical expression is like a phrase in the English language because it does not make complete sense without the equation sign.
1) Multiplication:
(20x + 24) ÷ (5x + 6) = 4
Check:
4(5x + 6) = 20x + 24
2) Road Trip Expressions:
Day one driving distance = x miles
Day two driving distance = 2x + 10
Day three driving distance = x - 100
Total distance = x + 2x + 10 + x - 100
= 4x + 10 - 100
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The area of the square is 25. The area of the circle is 39. What is the area of the shaded regions?
Answer:
c.
Step-by-step explanation:
First at all you need the half circle area formula:
(Pi*r2)/2 = 18Pi
After resolved this you have: r = 6, then diameter= 12
Then c) Its perimer is 40 because AB + CD + BC + AD = 40
Ryan wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1. Write an equivalent expression that has numbers in parentheses whose only common factor is 1. (54 + 72)
By finding a common factor, we can rewrite the expression as:
54 + 72 = 18*(3 + 4)
How to rewrite the expression?The distributive property says that we can write:
C*(A + B) = C*A + C*B
In this case, we want to rewrite the expression:
54 + 72
So the first thing we need to find is a common factor between these two numbers.
We can rewrite these as:
54 = 2*3*3*3
72 = 2*2*2*3*3
The maximum common factor between these two nmbers is:
2*3*3 = 18
Then we can rewrite:
54 = 18*3
72 = 18*4
Then we can rewrite the expression as:
54 + 72 = 18*3 + 18*4 = 18*(3 + 4)
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Round 0.2275 to the nearest hundredth
Answer:
0.23 is the answer
I wish you luck in your assignments.
Work out
1/8
+
3/4
Give your answer in its simplest form.
HELP ME PLEASE RIGHT NOW ASAP
The representation of the set builder notations are:
{y | 22.3 < y ≤ 77.5}: Set of values above 22.3 that do not exceed 77.5{w | w ∈ Z}: Set of all integers{x | x > -1}: Set of values greater than -2{t | t ∈ Q}: Set of all rational numbersHow to determine what the set builder notations representFrom the question, we have the following parameters that can be used in our computation:
The set builder notations
Solving: set builder notation 1
This is given as
{y | 22.3 < y ≤ 77.5}
The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5
Solving: set builder notation 2
This is given as
{w | w ∈ Z}
The notation Z means integers
This means that the set w is the set of all integers
Solving: set builder notation 3
This is given as
{x | x > -1}
The greater than (>) operator means that the smallest value of y is greater than -1
Solving: set builder notation 4
This is given as
{t | t ∈ Q}
The notation Q means rational numbers
This means that the set t is the set of all rational numbers
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Josephine wrote the numbers 1-100 and placed them in a bag.If she selects a number without looking what is the probability that the number is greater than 78
Question 4
Solve the equation x² - 4x+6=0 by completing the square.
BIUX² X₂ 15px help!!
After completing the square, the solution of equation are,
⇒ x = (2 + √2i)
And, x = 2 - √2i
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ x² - 4x + 6 = 0
Completing the square as;
⇒ x² - 4x + 6 = 0
⇒ x² - 4x + 4 + 2 = 0
⇒ (x - 2)² + 2 = 0
⇒ (x - 2)² - (√2i)² = 0
⇒ (x - 2 - √2i) (x - 2 + √2i) = 0
This gives two complex solution as;
⇒ x = (2 + √2i)
And, x = 2 - √2i
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The first modern Olympic games were held in Greece 1896. The 2004 Olympic games in Athens had 202 participating countries. The number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. How many countries participated in the 1896 Olympic games?
Answer: To solve this problem, we can use the information provided to set up and solve an equation. Let x be the number of countries that participated in the 1896 Olympic games.
According to the problem, we know that the number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. So we can write the following equation:
x * 14 < 202
To solve for x, we can divide both sides of the inequality by 14:
x < 202/14
x < 14.43
x is the number of countries, it must be an integer.
so x = 14
Therefore, 14 countries participated in the 1896 Olympic games.
Step-by-step explanation:
What is -6 - t/4 = -1
Answer: t=-20
Step-by-step explanation:
Convert:
30 quarts
=
bushels
Round to the nearest hundredths.
Answer:
30 quarts= 0.8057 bushels
rounded to the nearest hundredths = 0.81
What is the reciprocal of 1 4/13
Answer:
Step-by-step explanation:
Select the correct answer
The domain of the given graph is (-∞ < x < ∞)
What is the domain of a function?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).
Given is a graph,
For f(x) = x, there is no restriction on x
Both the domain and range are the set of all real numbers.
Hence, The domain will be (-∞ < x < ∞)
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2. A gallon of gas cost $3.50 at the
beginning of the month. At the e
of the month it cost $3.75. What
was the percent change in the
price of a gallon of gas?
Answer: 0.071%
Step-by-step explanation:
To get from $3.50 - $3.75, there was an increase of $0.25.
(Sorry if I'm getting the currency bit wrong, I'm British.)
Divide 0.25 by the original cost of 3.50, and you get:
0.07142857142857142857142857142857
Round this and you get a 0.071% increase
Answer:
The percent change in the price of a gallon of gas is 0.0714%.
Step-by-step explanation:
Given;A gallon of gas costs $3.50 at the beginning of the month.At the end of the month it costs $3.75.Here, The price increased from $3.50 to $3.75, a change of $0.25.
To find What is the percent change.Formula[tex] \frac{changed \: \: price}{original \: \: price} \times 100\% \\ [/tex]So,
$0.25 ÷ $3.50 × 100% = 0.0714%
Thus, The percent change in the price of a gallon of gas is 0.0714%.
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
Answer:
19
Step-by-step explanation:
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
25&25
If Karen Has 6 Less Then Kate, Karen Would Have 19 CDS
Hope This Helps
4. Of the three elevations, -2 feet, -12 feet, and
30 feet, which represents the least number?
Which represents the farthest distance from
sea level?
On solving the provided question, we can say that - y proportional to as the cube of s, y = ks3, then 8 = k * 23 => k = 1 then y = 1 * 53 = 125
what is directly proportional?If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.
Since y proportional to as the cube of s, y = ks3.
8 = k * 23 => k = 1
then y = 1 * 53 = 125
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To order tickets online to a hockey game
Answer:
I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game
Hope this helps!
A random sample of individuals at an airport were asked, "Is your flight on time or delayed?" Below are the results of the survey in a joint relative frequency table.
On time Delayed Total
Domestic 96 412
International 76
Total 147
Part A: Draw and complete the frequency table. (3 points)
Part B: What is the smallest joint frequency, and what does it represent in the context? (3 points)
Part C: Does the data show an association between the flight being on time and flying domestic? If so, is it positive or
negative? (4 points)
Answer:
A.
domestic: 316 / 96 / 412
international: 76 / 51 / 127
total: 392 / 147 / 539
B. 51 its the smallest number
C. I don't know what association means but 76.2% of domestic flights land on time and 63% of international flights land on time so id say its positive
Suppose you have fewer than 10 place value blocks. How many different ways could you show 1214? Explain.
There are 3,024 different ways 1,214 can be shown.
What is permutation?Basically A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.
Given 1,214
since there are 4 places in the digit,
so 4 values less than 10 can be solved by
9, 8, 7, and 6
so by permutation to find ⁹P₄ = 9!/(9 - 4)!
= (9 x 8 x 7 x 6 x5!)/5!
⁹P₄ = 3,024
Hence there are 3,024 different ways.
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is 3/16 greater than 1/16
if the parent function is y=3×,which is the dunction of the graph?
On solving the provided question, we can say that - the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
Here,
to solve the system of equations given. .
[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]
system of equations 2x + y = 4 ,
6=3x-y is 5x =10
The value of x :
[tex]x =10 / 5 = 2\\ x=2[/tex]
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Someone please help me out
The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
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19x+4 find the value of x
Answer:
x= -4/19
Step-by-step explanation:
19x+4
19x+4=0
19x= - 4
x= -4/19
Which figures show shaded
amounts that are equivalent to 1/4
The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.
How to identify the correct graph?To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.
According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.
Note: This question is incomplete because there is some information missing. Here is the complete information:
image attached
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Swimming Pool B is also rectangular and has a perimeter of 90m. Its length is 25m. What is the width?
By using the formula for the perimeter, we will get that the width of the pool is 20 meters.
What is the width of the swimming pool?
Remember that for a rectangle of length L and width W, the perimeter is given by the formula:
P = 2*(L + W)
In this case, we know that the perimeter is 90m, and the length is 25m, then we know that:
P = 90m
L = 25m
Replacing that in the formula above we will get:
90m = 2*(25m + W)
now we can solve this for W.
90m/2 = 25m + W
45m - 25m = W
20m = W
The width of the pool is 20 meters.
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Which step is not necessary when solving this system of equations by graphing?
Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.
Not necessary when solving this system of equations by graphing is
to determine the shaded area for each line. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.
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h(0)=
evaluate the function please!!
p.
Sue uses of a pitcher of sweet tea to fill
each of 6 matching glasses. What fraction of
the pitcher does Sue use to fill 1 glass?
Answer:
P. Sue uses 1/6 of the pitcher to fill 1 glass
Step-by-step explanation:
Show that 20 subtracted by O is 20, using at least four daily life examples
Answer:Sure! Here are four daily life examples where 20 subtracted by 0 is equal to 20:
1. You have 20 pieces of fruit in a basket, and you take 0 pieces of fruit out of the basket. You are left with 20 pieces of fruit in the basket.
2. You have 20 minutes left on your parking meter, and you add 0 more minutes to the meter. You still have 20 minutes left on the meter.
3. You have 20 dollars in your wallet, and you spend 0 dollars. You still have 20 dollars in your wallet.
4. You have 20 pages left to read in a book, and you haven't read any additional pages. You still have 20 pages left to read.