If your rate of pay is $36 per hour and you bill by the quarter hour, you would bill $162 for 4 hours and 30 minutes project.
Based on the given information, your rate of pay is $36 per hour, and you bill by the quarter hour. You spent 4 hours and 30 minutes on a client project.
To calculate the bill, first convert the 30 minutes into quarter hours: 30 minutes = 2 quarter hours. In total, you worked for 4 hours and 2 quarter hours (18 quarter hours).
Now, multiply your rate of pay ($36) by the number of quarter hours (18) and divide by 4 to account for the quarter hour billing: ($36 * 18) / 4 = $162. Therefore, you would bill the client $162 for the project.
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mrs. hilt runs 3 1/2 miles every monday, wednesday, and friday. how many miles will she run in a month in which there are 4 mondays, 4 wednesdays, and 4 fridays?
The total miles run by Mrs Hilt in a month in which there are 4 Mondays, 4 Wednesdays, and 4 Fridays is equal to 126 miles.
Every Monday, Wednesday and Friday Mrs. Hilt run = 3 1/2 miles
Mrs. Hilt runs 3 1/2 miles three times a week,
which is a total of 3 1/2 x 3 = 10 1/2 miles per week.
In a month with 4 Mondays, 4 Wednesdays, and 4 Fridays,
there are a total of 12 days in the week that Mrs. Hilt runs.
This implies, in a month, she will run a total of,
= 10 1/2 x 12
= 21/ 2 x 12
= 21 x 6
= 126 miles.
Therefore, Mrs. Hilt will run 126 miles in a month with 4 Mondays, 4 Wednesdays, and 4 Fridays.
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Four different positive integers , , , satisfy the equation (9 − ) (9 − ) (9 − ) (9 − ) = 9. What is the value of + + + ?
The four integers are 8, 8, 1, and 10, and their sum is 27.So the value of a+b+c+d= 8+8+1+10 = 27.
Let's start by expanding the left side of the equation given:
(9-a)(9-b)(9-c)(9-d) = 9
(9-a)(9-b)(9-c) = (d-9)
Notice that the left side of the equation is always positive since a, b, c, and d are positive integers. Therefore, d must be greater than 9. Let's set d = 10 and see if we can find values for a, b, and c that satisfy the equation:
(9-a)(9-b)(9-c) = 1
The only way for the product of three factors to equal 1 is if one of the factors is equal to 1 and the other two are equal to 8. Without loss of generality, let's assume a = 8, b = 8, and c = 1:
(9-8)(9-8)(9-1)(9-10) = 1
Therefore, the four integers are 8, 8, 1, and 10, and their sum is 27.
So the value of a+b+c+d= 8+8+1+10 = 27.
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Find the sum of the finite arithmetic sequence.
Sum of the first 80 positive odd integers
Answer:
6400
Step-by-step explanation:
We have 1 + 3 + 5 + ... + 155 + 157 + 159.
We can use Gauss's strategy.
Since we are adding 80 numbers, there are 40 pairs. Each pair adds up to 1 + 159 = 160. (Notice that 3 + 157, 5 + 155 = 160)
Thus, because there are 40 pairs and each pair adds up to 160, we have 160 * 40 = 6400.
I hope this helps!
Question 1 of 5
The total number of hours each
student spends volunteering in their
community iS shown in the stem-and-leaf plot.
Hours Volunteered
Stem Leaf
1023478
2 125568
303444
4 122
Which statement is supported by the data in the stem-and-leaf plot?
•
A. The number of students who volunteered more than 30 hours is
greater than the number of students who volunteered fewer than
30 hours
We can say that the majority of students (8 out of 12) volunteered fewer than 30 hours, while a smaller number of students (4 out of 12) volunteered more than 30 hours.
Based on the data in the stem-and-leaf plot, we can see that there are more students who volunteered fewer than 30 hours than those who volunteered more than 30 hours.
Looking at the stem values, we can see that there are four students who volunteered more than 30 hours (stem value of 3 or 4), while there are eight students who volunteered fewer than 30 hours (stem value of 1 or 2). Therefore, we can say that statement A is not supported by the data in the stem-and-leaf plot.
Instead, we can say that the majority of students (8 out of 12) volunteered fewer than 30 hours, while a smaller number of students (4 out of 12) volunteered more than 30 hours.
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A poll taken by GSS asked whether people are satisfied with their financial situation. A total of 478 out of 2038 people said they were. The same question was asked two years later, and 537 out of 1967 people said they were. Get a 90% confidence interval for the increase in the proportion of people who were satisfied with their financial condition. The CI is
We can say with 90% confidence that the increase in proportion of people satisfied with their financial situation is between 1.05% and 6.71%.
To calculate the confidence interval for the increase in proportion of people satisfied with their financial situation, we need to first calculate the proportions for both years:
Proportion in year 1 = 478/2038 = 0.2342
Proportion in year 2 = 537/1967 = 0.2730
The increase in proportion is:
0.2730 - 0.2342 = 0.0388
To calculate the confidence interval, we can use the formula:
CI = (point estimate ± (critical value x standard error))
The point estimate is the increase in proportion we just calculated: 0.0388
The critical value can be found using a z-table for a 90% confidence level. The z-value for a 90% confidence level is 1.645.
The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]
where p1 and n1 are the proportion and sample size for year 1, and p2 and n2 are the proportion and sample size for year 2.
Plugging in the values, we get:
SE = sqrt[(0.2342(1-0.2342)/2038) + (0.2730(1-0.2730)/1967)] = 0.0174
Now we can plug in all the values to get the confidence interval:
CI = (0.0388 ± (1.645 x 0.0174)) = (0.0105, 0.0671)
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Consider a cuboid with length (l)
60 cm
and height (h)
4 m. If its volume (V)
is 1. 2 m3
, find its breadth (b)
The breadth of the cuboid is 0.5 m
How to find the breadth of the cuboid?The volume of a cuboid is given by the formula:
V = l * b * h
Where l is the length, b is the breadth and h is the height of the cuboid
We have:
length (l) = 60 cm = 0.6 m
volume (V) = 1.2 m³
height (h) = 4 m
Substituting:
1.2 = 0.6 * b * 4
1.2 = 2.4b
b = 1.2/2.4
b = 0.5 m
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Find the perimeter. Simplify your answer.
7z+5
22-1
32-9
62+3
(7z + 5) + (2z - 1) + (6z + 3) + (3z - 9) =
= 7z + 5 + 2z - 1 + 6z + 3 + 3z - 9 =
= 7z + 2z + 6z + 3z + 5 - 1 + 3 - 9 = 18z - 2
Madaly was extremely excited to go on vacation. HELP!!!!
The underlined part of the sentence can best be described as a/an...
adjective phrase.
prepositional phrase.
adverbial phrase.
noun phrase.
The underlined part of the sentence can best be described as an adjective phrase.
Parts of speechIn formation of sentences in English language, the words that are used usually include the following parts of speech:
nounspronounsverbsadjectivesadverbsprepositionsconjunctionsinterjectionsAn Adjective is a word that describes or modifies a noun or a pronoun. While adjective phrase is the phrase that can be used to modify or describe a noun in a sentence.
From the sentence given, extremely excited is adverbial phrase used to modify the noun vacation.
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help again for a friend
The required equation of slope is y = x/2 + 6
Given : y = 3x + 6
this is of the form y = mx + c
thus on comparing we get
the slope or m = 3
And the y intercept = 0, 6
It is also given that we have to find the equation of the slope which passes through the point ( -2, 5 )
thus the two points are:
( -2, 5 ) and ( 0,6 )
Thus the slope or m = y2 - y1/ x2 - x1
=> m = 6 - 5 / - ( -2 )
m = 1/ 2
Thus the equation of the slope is
y - y₁ = m ( x - x₁ )
₁Substituting the value of m from above we get
y - 5 = 1/2 ( x + 2 )
this implies 2y - 10 = x + 2
x - 2y = - 12
or we can also write this as
y = x/2 + 6
Refer to the graph given below for further understanding.
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There are 240 children at summer camp. They will travel by bus on a field trip. Each bus will hold a total of 50 students.
What is the minimum number of buses they will need?
What is the slope of the line that passes through the points (2, 0) and (1, 0) ? Write your answer in simplest form. HELPPPPP!!!
Answer:
Slope = change in y / change in x
Both x values are the same, they are both 2’s. 2-2 = 0
Because the change in x is 0 the slope is undefined.
An undefined slope means the line is a vertical line ( straight up and down with no angle)
Step-by-step explanation:
im thinking ok
Function A has
The equation of line Ais
Function B has
Two different linear functions are shown below with two
points given from each function Use slope intercept form
or point slope form to find the equation of each
Linear Function A
Points (-5,-2), (5,7)
Linear Function B
Points(7,5).(-2,5)
The equation of line Bis
Answer: 4,1,2,2
explanation: I did it on edge 2021
If you can these questions hElp
I think 7 is B but am not 100% sure
Answer:
7. Can't see the triangle
8. F
9. D
Step-by-step explanation:
8. \(15*\frac{1}{4} = 3\frac{3}{4}\) \(16*\frac{1}{4} =4\)
9. An obtuse angle is any angle bigger than \(90^{o}\) (right angle) but smaller than \(180^{o}\) (reflex angle)
By how much could the smallest sample observation, currently 8.5, be increased without affecting the value of the sample median? (enter your answer to one decimal place.)
The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.
To find the maximum amount by which the smallest sample observation can be increased without affecting the sample median, we need to consider the definition of the median.
The median is the middle value in a sorted dataset. If the dataset has an odd number of observations, the median is the middle value. If the dataset has an even number of observations, the median is the average of the two middle values.
Since the current smallest sample observation is 8.5, increasing it by any value up to 0.1 would still keep it smaller than any other value in the dataset. This means the position of the smallest observation would not change in the sorted dataset, and therefore, it would not affect the value of the sample median.
The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.
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Shelley is searching online for airline tickets two weeks ago the cost to fly from Boston to Hartford was 210.now the cost is 285
Answer:
the price went up 75 dollars, about 26.3%
What is the 18th term of the arithmetic sequence -13, -9, -5, -1, 3,...? A. A(18) = 55 B. A(18) = 59 C. A(18) = -81 D. A(18) = -153
The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55
Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.
The specific number in the arithmetic progression is calculated by
\(a_n=a_1+(n-1)d\)
where \(a_n\) is the term in arithmetic progression at the nth term
\(a_1\) is the initial term in the arithmetic progression
d is the difference between two consecutive terms
In the given question, \(a_1\) = -13
d = -9 - (-13) = 4
Therefore, to calculate the 18th term,
\(a_{13}=a_1+(18-1)d\)
= -13 + (17) 4
= -13 + 68
= 55
Hence, the 18th term of the above AP is 55
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how many customers must be sampled if he wants the confidence interval to have a margin of error of 0.06? g
To determine the sample size needed for a desired margin of error, we need additional information such as the population size and the desired level of confidence. Without this information, it is not possible to calculate the exact sample size.
The sample size calculation involves considering factors such as the variability of the population, the desired level of confidence, and the margin of error. These factors help in determining the appropriate sample size to achieve the desired precision in estimating population parameters.
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how many customers must be sampled if he wants the confidence interval to have a margin of error of 0.06 ----------- g
David is going out for a pizza. The Pizza costs $10.50 plus $1.50 for each extra topping ,x. Write an equation to represent the total cost of the pizza, t.
Dependent variable:________
Independent variable:____
Equation:____ (Use your equation to determine the total cost of the pizza with 3 extra toppings).
10.50+1.50x=total cost
since they wanted 3 topings it would be x=3
10.50+(1.50*3)
simplify
10.50+4.50=15
I hope this helps
PLEASE ANSWER ASAP THANK YOU
4/5
This is because there are 5 rectangles in total, but only 4 out of the 5 rectangles are colored.
Answer:
Step-by-step explanation:
The boxes filled in green represent the numerator: 4
The total number of boxes represent the denominator: 5
Therefore the picture represents 4 out of 5 boxes full, or 4/5.
Please help!! If f (x) = e^x sin x, then f’ (x) =
Answer:
\( f'(x) = {e}^{x}( \sin x + \cos x ) \)
Step-by-step explanation:
\(f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x ) \)
The equilateral triangle shown has perimeter 45 cm. How to find its side length?
Answer:
15 cm
Step-by-step explanation:
An equilateral triangle has all 3 sides equal, so you can say the length of one side is x. Then, the perimeter would be 3x. This means:
3x = 45
divide both sides by 3
x = 15 cm
Which ordered pairs make both inequalities true y <- X 1 Y X?
The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.
The correct option is A: (-2, 2).
To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.
Let's test each ordered pair:
A: (-2, 2)
For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)
For y > x: 2 > -2 → 2 > -2 (True)
B: (1, 1)
For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)
For y > x: 1 > 1 → 1 > 1 (False)
C: (0, 0)
For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)
For y > x: 0 > 0 → 0 > 0 (False)
D: (-1, -1)
For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)
For y > x: -1 > -1 → -1 > -1 (False)
From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).
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The complete question:
Which ordered pairs make both inequalities y < -x + 1 and y > x true?
A: (2, 2)
B: (1, 1)
C: (0,0)
D: (-1, -1)
Rewrite the expression by factoring out −x4. +5x2−x42−x4
Answer:
783735e826w826
Step-by-step explanation:
1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1
PQ has a length of 17 units with P(-4,7). If the x- and y-coordinates of Q are both greater than the x- and y-coordinates of P, what are possible integer value coordinates of
Q? Explain
Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, and a Pythagorean triple can be used to say the shorter leg has length___ and the longer leg has length____If the shorter leg is horizontal, then Q is described by the ordered pair___If the shorter leg is vertical,
then Q is described by the ordered pair____ FILL IN THE BLANK PLS
The complete paragraph on Pythagorean theorem is shown below:
Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, adn a Pythagorean triple can be used to say the shorter leg has length 4 and the longer leg has length 22. If the shorter leg is horizontal, then Q is described by the ordered pair (x, y) = (4, 22). If the shorter leg is vertical is vertical, then Q is described by no ordered pairs.
What are the coordinates of the missing end of a line segment?
Given the coordinates of the two end we can determine the length of a line segment by using the Pythagorean theorem in the following form and considering that the coordinates of point Q are integers greater than their counterparts of point P:
17 = √[[x - (-4)]² + (y - 7)²]
[x - (-4)]² + (y - 7)² = 289
(x + 4)² + (y - 7)² = 289
Then, we proceed to graph the circle and we find that the point satisfying the conditions indicated are (x, y) = (4, 22).
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help please thank you
Answer:
Negative:)
Step-by-step explanation:
Look at the image. Thank you for anybody who helps!
Answer:
a. 58/99
b. 53/90
c. 29/50
Step-by-step explanation:
Which is the approximate measure of angle yzx? 34.8° 39.4° 50.6° 55.2°
The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.
we know that
In the right triangle XYZ
\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)
In this problem,
Opposite side angle YZX= XY = 12.4cm
Adjacent side angle YZX= YZ = 15.1cm
substitute the values,
\(tan ( Y Z X) = \frac{12.4}{15.1}\)
\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)
Angle ( Y Z X) = 39.4°
So, the approximate measure of angle YZX is 39.4°.
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The complete question is:
In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?
A .34.8°
B .39.4°
C .50.6°
D. 55.2°
Someone please help
Answer:
B. x - 2
Step-by-step explanation:
To celebrate the Fourth of July, Mariana has invited some friends over for her famous grilled chicken. Mariana's secret is to use 6 fluid ounces of lemon-garlic marinade for every pound of chicken. If Mariana plans to grill 4 pounds of chicken, how many cups of marinade should she make?
Answer:
3 cups
Step-by-step explanation:
What is greater or are they equal
1. 8.13 or 8.4
2. 0.004 or 0.05
3. 0.4repeating or 0.4
Answer:
Step-by-step explanation:
8.13<8.4
.004<.05
.4 repeating>.4