Mrs. Lane's average gross monthly income would be $3,135.
How to find the income?To find the monthly income of Mrs. Lane's,
First, we need to find Mrs. Lane's commission for her bi-weekly commercial sales:
Commission = 22% of $5,625 = 0.22 x $5,625 = $1,237.50
Next, we need to find her hourly wage for a week:
Hourly wage = $8.25 x 40 = $330
Her gross bi-weekly income is the sum of her commission and hourly wage:
Gross bi-weekly income = Commission + Hourly wage
= $1,237.50 + $330
= $1,567.50
To find her gross monthly income, we can multiply her gross bi-weekly income by the number of bi-weekly pay periods in a month:
Gross monthly income = Gross bi-weekly income x Number of bi-weekly pay periods in a month
= $1,567.50 x 2
= $3,135
Therefore, Mrs. Lane's average gross monthly income would be $3,135.
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Find the aw tire area and show work
Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
We can define the absolute value of any number:
IxI as:
"The distance between the point x and the origin in the coordinate axis"
If we are in one dimension, x is just a value, and the coordinate axis will be a number line.
Then we could rewrite this as:
"is the distance between the value x and the 0 in the number line"
So:
IxI = x if x > 0
IxI = -x if x < 0.
Then:
I -5 I
Is the distance between the number -5, and the 0 in the number line, and this is:
I - 5 I = 5.
The correct option is:
"It is the distance that -5 is form 0 on the number line"
Answer:
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answer:
Step-by-step explanation:
700.5
What is the amplitude and period of f(t)=2.5tan(t)
A. amplitude: 2.5; period: π
B. amplitude: 2.5; period: 2π
C. amplitude: none; period: 2π
D. amplitude: none; period: π
I selected A, and I do not know why I got it wrong.
Answer: D. amplitude: none; period pi
Step-by-step explanation:
Answer:
D
Tangent functions do not have amplitudes as they do not have a maximum or a minimum, therefore the correct answer is D.
Step-by-step explanation:
An experiment is designed to test how consumers go about choosing car insurance policies. If this experiment uses a sample of university students, it would likely not have _______.
If the experiment uses a sample of university students, it would likely not have a a. external validity.
External validity refers to the extent to which the findings from a study can be generalized to a larger population or real-world settings.
If an experiment uses a sample of graduate college students to study how consumers choose life insurance policies,
It is likely that the findings may not accurately represent the broader population of consumers.
Graduate college students may have different characteristics, preferences,
And decision-making processes compared to the general population when it comes to life insurance policies.
Laboratory validity (b), internal validity (c), and extraneous validity (d) are not relevant to the issue of representativeness of the sample.
Laboratory validity refers to the extent to which the experimental conditions accurately represent real-world situations.
Internal validity refers to the extent to which the experiment allows for causal inferences within the study itself.
Extraneous validity is not a recognized term in experimental design.
Therefore, the correct answer for an experiment uses a sample of university students is a. external validity.
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The above question is incomplete, the complete question is:
an experiment is designed to test how consumers go about choosing life insurance policies. if this experiment uses a sample of graduate college students, it would likely not have an experiment is designed to test how consumers go about choosing life insurance policies. if this experiment uses a sample of graduate college students, it would likely not have a. external validity b. laboratory validity c. internal validity d. extraneous validity e. it would have all of these
-3x= 2x^2 -4 solve using quadratic formula
Solution of the given equation -3x =2x² -4,using quadratic formula is (-3 ±√41) /4.
As given in the question,
Given equation is:
-3x =2x² -4
Rearrange the terms in proper order:
2x² + 3x -4 =0
Solve it using quadratic formula
x = (-b ±√b²-4ac)/ 2a
Here compare the given equation with general quadratic equation:
a =2 , b=3 , c=-4
Substitute the values in the quadratic formula we get,
x = [ -3± √(3)² -4(2)(-4)]/2(2)
= (-3 ± √9+32)/4
= (-3 ±√41) /4
Therefore, Solution of the given equation -3x =2x² -4, using quadratic formula is (-3 ±√41) /4.
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If triangle ABC is equilateral, find
the perimeter of the triangle.
a=48 . is the correct answer
Given: AD BC and ZBCD ZADC
Prove: DE
The length of DE is equal to length CE since their corresponding angles are equal.
What is the prove of DE and CE?
To prove that line DE is equal to line CE, we will take the following steps as shown below.
In the given figure;
line AD = line BC
angle ADC = angle BCD
let the line DB divide angle ADC equally and let line AC divide angle BCD equally.
then our new triangle becomes EDC
so angle EDC = angle ECD, since the angles are divided equally.
If the two angles (m∠EDC = m∠ECD), then their lengths must be equal since the triangle forms an isosceles triangle.
So length DE = length CE, proved.
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Suppose that the random variables X and Y are independent and you know their distributions.
Which of the following explains why knowing the value of X tells you nothing about the value of Y?
A.
X and Y might be independent.
B.
The mean of X might be different from the mean of Y.
C.
The variance of X might be different from the variance of Y.
D.
All of the above.
A. X and Y might be independent. Knowing the value of one independent variable tells us nothing about the value of the other independent variable. The mean and variance of X and Y being different does not necessarily mean that knowing the value of one tells us nothing about the other.
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Mr. Tran drives home from work every day following the L-shaped path shown below.
If Mr. Tran drove from home to work following the dotted path, how far would his drive be?
Responses
14 mi
14 mi
12 mi
12 mi
10 mi
10 mi
8 mi
If Mr. Tran drove from home to work following the dotted path, the distance is 10 miles.
How to find the distance?Assuming that Mr. Tran drives along the two legs of the L-shaped path, the distance he would have to travel from home to work would be the same as the length of the hypotenuse of the right triangle formed by the two legs of the L-shaped path.
Using the Pythagorean theorem, we can find the length of the hypotenuse as follows:
hypotenuse^2 = height^2 + length^2
hypotenuse^2 = 8^2 + 6^2
hypotenuse^2 = 64 + 36
hypotenuse^2 = 100
hypotenuse = sqrt(100)
hypotenuse = 10
Therefore, the distance Mr. Tran would have to travel from home to work following the dotted path is 10 miles.
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I really need help..im confused
The temperature in Baku, Azerbaijan dropped over five hours from zero degrees Fahrenheit to negative fifteen degrees Fahrenheit. If the temperature dropped the same amount each hour, how much did the temperature change each hour?
Answer:
its either 3 or -3 hopefully someone in the comments can tell which
Step-by-step explanation:
5/4 - 1/4 what is it!!!
Answer:
4/4 or 1
Step-by-step explanation:
Answer:
It's 1
Step-by-step explanation:
I NEED HELP ASP. IT IS SO HARD
Answer:
b
Step-by-step explanation:
Which sequences are arithmetic? Check all that apply.-5,5,-5,5,-5,…96,48,24,12,618,5.5,-7,-19.5,-32,…-1,-3,-9,-27,-81,…16,32,48,64,80
The arithmetic sequences among the given options are: -5, 5, -5, 5, -5, ... This sequence alternates between -5 and 5 repeatedly, indicating a common difference of 10.
96, 48, 24, 12, ... This sequence is decreasing by a common difference of 48/2 = 24. 618, 5.5, -7, -19.5, -32, ... This sequence is decreasing by a common difference of -623.5. The remaining sequences are not arithmetic: The sequence -1, -3, -9, -27, -81, ... is a geometric sequence with a common ratio of -3. The sequence 16, 32, 48, 64, 80, ... is increasing but not by a constant difference.
Therefore, the arithmetic sequences are -5, 5, -5, 5, -5, ...; 96, 48, 24, 12, ...; and 618, 5.5, -7, -19.5, -32, ....
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If you are buying at item at a store for a price of $17, and there is a 8.7% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
$18.48
Step-by-step explanation:
To find a percentage you just multiply the amount x the percentage in decimal form.
17 x 0.087 = 1.479 tax
Then you add that number too the original total.
17+1.479 = 18.479
Then you round to the nearest cent.
18.48
Total:
$18.48
For class 6 a)a square can be taught of as a special rectangle. b)a rectangle can be thought of as a special parallelogram. c)a square can be thought of as a special rhombus. d) squares , rectangles , parallelograms are all quadrilaterals. e) square is also a parallelogram. please answer fast
Correct statements are:
a) A square can be thought of as a special rectangle.
d) Squares, rectangles, and parallelograms are all quadrilaterals.
e) A square is also a parallelogram.
Incorrect statements are:
b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.
c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.
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Drag the tiles to the boxes to form correct pairs.
Consider functions fand g.
f (x) = 1 - ²
g(x)
Evaluate each combined function, and match it to the corresponding value.
ہے
4
= √11 - 4x
√3-3
√15
-3√3
(g- f)(-1)
(g. f)(2)
(g + f)(2)
(4) (-1)
0
The numeric values of the functions are given as follows:
\((g - f)(-1) = \sqrt{12}\)(g x f)(2) = 9.(g + f)(2) = 0.\(\frac{f}{g}(-1) = 0\)How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the functions are given as follows:
f(x) = 1 - x².\(g(x) = \sqrt{11 - x}\)At x = -1, the values are given as follows:
f(-1) = 1 - (-1)² = 1 - 1 = 0.\(g(-1) = \sqrt{11 - (-1))} = \sqrt{12}\)Hence:
\((g - f)(-1) = g(-1) - f(-1) = \sqrt{12}\)\(\frac{f}{g}(-1) = \frac{f(-1)}{g(-1)} = \frac{0}{\sqrt{12}} = 0\)At x = 2, the values are given as follows:
f(2) = 1 - (2)² = 1 - 4 = -3.\(g(2) = \sqrt{11 - 2} = \sqrt{9} = 3\)Hence:
(g x f)(2) = -3 x 3 = 9.(g + f)(2) = 3 - 3 = 0.More can be learned about the numeric values of a function at brainly.com/question/28367050
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I need some help with my math please and write the steps out.
i - 6 = 3
Answer:I believe that the letter " i " is 9
Step-by-step explanation:
it wouldnt be 3-6=3 because that actually ='s -3
but 9-6 is equal to positive 3
what is the equation that represents the line
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Step-by-step explanation:
2 or more angles are supplementary if their sum is 180°. An angle is 4 times the value of its supplement.
I really need help to set up and solve an equation in order to find the measures of the 2 of the angles immediately!!!
I give the Brainliest to whoever got the best correct answer with anyone’s best efforts of step-by-step explanation, so anyway guys, good luck with your answering and I will check to see if you understand my question or not in order to answer my mathematics question! :)
Answer:
Smaller Angle : 36 degrees
Bigger Angle : 144 degrees
Step-by-step explanation:
So we can name the smaller angle x and the larger one 4x. We can add them and make the answer 180. x+4x=180, 5x=180, x=36
Smaller angle : x=36
Bigger Angle : 4x=36*4=144
Answer:
Angle X = 36
Angle Y = 144
Please give me Branliest
Step-by-step explanation:
Ok, so
X + Y = 180
and
4X = Y
So we substitute
X+4X = 180
5X = 180
X = 36
Now
36 + Y = 180
-36 -36
Y = 144
What is the product 7(-6 1/8)?? Fast please <3
Answer:
-42 7/8
Step-by-step explanation:
got it right
Find the area of the above parallelogram
Answer:
30 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here
b is the horizontal measure between 2 red points, that is 6
h is the vertical measure from the lower left point to the other horizontal line, that is 5, then
A = 6 × 5 = 30 units²
Prove that the sum of 3 consecutive numbers is always a multiple of 3
Proof:
3 consecutive integers are x, x+1 , x+2.
Add these values.
x+x+1+x+2
3x+3
3×(x+1)
3(x+1) is the multiple of 3 for any integer value of x.
Answer: We have proved that the sum of 3 consecutive numbers is always a multiple of 3.
Let us assume: 3 consecutive integers are x, x+1 , x+2.
Then add these values.
\(x+x+1+x+2\\=3x+3\\=3(x+1)\)
It is the multiple of 3 for any integer value of x.
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Ron made 3 pitchers of lemonade sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
Answer:
Step-by-step explanation:
cost = 3 pitchers × $0.50/pitcher = $1.50
revenue = 36 cups × $0.15/cup = $5.40
profit = $5.40 - $1.50 = $3.90
Help? I will give brain list + 5 star rating and like on the profile
Answer:
7. Jamal and Steve finished the same amount of homework
8. 8/12 and 4/6
Hope this helps =]
A swimming pool is in the shape of a right rectangular prism the base of the pool has an area of 116 square feet when the pool is completely filled it holds 1,944 cubic feet of water what is the depth of the water when the pool is completely full.
The depth of water which is in the shape of a rectangular prism is \(16.75m\) when it is completely filled with water.
A solid (3-dimensional) object that has six faces that are rectangles.
It has the same cross-section along its length, which makes it a prism.
It is also a "block".
A rectangular prism is a three-dimensional shape that has six faces, where all faces (top, bottom, and side faces) of the prism are rectangles, so all pairs of opposite faces are congruent. Like all three-dimensional shapes, a rectangular prism also has volume and surface area. A rectangular prism is also known as a cuboid.
There are two types of rectangular prisms, which are classified depending on the shape of the faces or the angle that the faces make with the base.
In general, a rectangular prism without any specifications is a right rectangular prism.
Given:
A swimming pool is in the shape of a rectangular prism
The base of the pool has an area of 116 square feet
When the pool is completely filled it holds 1944 cubic feet of water
To find:
What is the depth of the water when the pool is completely full?
Solution:
To find out the depth of the water when it is completely filled with water we need to simply divide the total cubic feet of water when it is completely filled by the area of the rectangular prism which is as follows:
\(=1944/116\\=16.75 m\)
Hence the depth of water is \(16.75m\) when it is completely filled with water.
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Find two positive integers if their difference is 5
and the sum of their squares is 193.
Answer:
7 & 12
Step-by-step explanation:
7²=49
12²=144
144+49=193
12-7=5
The diameter of a coin is 2 cm. what is the circumference of the coin
Help me please
Answer: 6.28
Radius:
r=d/2
r=2/2
r=1
Circumference:
C=2(3.14)r
C=2(3.14)x1
C=2(3.14)
C=6.28
Formulae:
Circumference= 2(3.14)r(radius)
Radius=Diameter/2
write 13/24 as a percent
(explain how you got the answer pls)
Answer:
About 54.16 percent
Step-by-step explanation:
To turn a fraction into a percentage you must divide the numerator by the denominator.
Ex: 1/2 the percentage is 0.50 percent so its 50%