Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
How are the percentages determined?The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.
Percentages are ratios or portions of a variable in the whole number.
Data and Calculations:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 40 hours 10.625% No
Week 2 2.57 40 hours 6.425% Yes
Week 3 3.83 40 hours 9.575% Yes
Week 4 3.40 40 hours 8.500% Yes
Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.
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Question Completion:Administrative Hrs Total Hours Worked Admin % Goal Met?
Week 1 4.25 10 hours
Week 2 2.57 8 hours
Week 3 3.83 8 hours
Week 4 3.40 8 hours
At a local hardware store, Ms. Jones learned that 1 would cost her $.50, 12 would cost $1.00, and the price of 144 would be $1.50. What was Ms. Jones buying?
Answer:
how the heck would I know what she's buying the question itself doesn't even state that
18 ABCDEFGH is a cuboid. AB= 7.3 cm CH= 8.1 cm Angle BCA = 48° F A E D G B Find the size of the angle between AH and the plane ABCD Give your answer correct to 1 decimal place. H C (Total for Question 18 is 4 marks)
The size of the angle between AH and the plane ABCD is approximately 74.4°, rounded to one decimal place.
To find the size of the angle between AH and the plane ABCD in the given cuboid, we can use the concept of three-dimensional geometry.
First, let's consider the right triangle BCA. The given angle BCA is 48°, and we know that the length of AB is 7.3 cm. Using trigonometric functions, we can find the length of BC:
BC = AB * sin(BCA)
BC = 7.3 * sin(48°)
BC ≈ 5.429 cm
Now, let's look at the right triangle BAH. The length of AH is given as 8.1 cm. We can find the length of BH by subtracting BC from AB:
BH = AB - BC
BH ≈ 7.3 - 5.429
BH ≈ 1.871 cm
Next, let's consider the right triangle ABH. We want to find the angle BAH, which is the complement of the angle between AH and the plane ABCD. We can use the cosine function to find the angle BAH:
cos(BAH) = BH / AH
cos(BAH) ≈ 1.871 / 8.1
BAH ≈ arccos(1.871 / 8.1)
BAH ≈ 74.4°
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Item 4
Which expressions are equivalent to 1.3−4x−3.7 ?
Select all correct answers.
−0.6−4−x
−4(x+0.6)
−x−x−x−x−2.4
−4x−2.4
Answer:
b,c and d are the answers
Step-by-step explanation:k12
Expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.
What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)So, the expressions equivalent to 1.3−4x−3.7 are:
Solve: 1.3−4x−3.7
1.3−4x−3.7- 2.4 - 4xNow, calculate for - 2.4 - 4x:
(A) −0.6−4−x:
-4.6 - x ≠ - 2.4 - 4x(B) −4(x+0.6)
- 2.4 - 4x = - 2.4 - 4x(C) −x−x−x−x−2.4
- 2.4 - 4x = - 2.4 - 4x(D) −4x−2.4
- 2.4 - 4x = - 2.4 - 4xTherefore, expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.
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Correct question:
Which expressions are equivalent to 1.3−4x−3.7?
Select all correct answers.
(A) −0.6−4−x
(B) −4(x+0.6)
(C) −x−x−x−x−2.4
(D) −4x−2.4
In a survey of women in a certain country (ages 20−29), the mean height was 63.7 inches with a standard deviation of 2.75 inches. Answer the following questions about the specified normal distribution.
(a) What height represents the 95th percentile?
(b) What height represents the first quartile?
a) The height that represents the 95th percentile is approximately 68.1 inches.
b) the height that represents the first quartile is approximately 65.5 inches.
Percentile and Quartile Heights(a) To find the height that represents the 95th percentile, we need to find the z-score that corresponds to this percentile and then use that to find the corresponding height.
The z-score for the 95th percentile can be found using a standard normal distribution table or calculator. The area to the left of the z-score is 0.95, so the area to the right is 0.05. From the standard normal distribution table, the z-score corresponding to an area of 0.05 is approximately 1.645.
Now we can use the formula for z-scores to find the corresponding height:
z = (x - mu) / sigma
where x is the height we want to find, mu is the mean height (63.7 inches), sigma is the standard deviation (2.75 inches), and z is the z-score we just calculated (1.645).
Rearranging the formula, we get:
x = mu + z * sigma
Plugging in the values, we get:
x = 63.7 + 1.645 * 2.75 ≈ 68.1
Therefore, the height that represents the 95th percentile is approximately 68.1 inches.
(b) To find the height that represents the first quartile, we need to find the z-score that corresponds to the 25th percentile and then use that to find the corresponding height.
The z-score for the 25th percentile can be found using a standard normal distribution table or calculator. The area to the left of the z-score is 0.25, so the area to the right is 0.75. From the standard normal distribution table, the z-score corresponding to an area of 0.75 is approximately 0.67.
Using the formula for z-scores and the same values for mu and sigma, we get:
x = mu + z * sigma = 63.7 + 0.67 * 2.75 ≈ 65.5
Therefore, the height that represents the first quartile is approximately 65.5 inches.
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Find the areas of the sectors formed by
Area of sector is 177.8cm².
Define area of sectorIn geometry, a sector is a region of a circle that is bounded by two radii and an arc, where the radii intersect at the center of the circle. The area of a sector is the fraction of the circle's total area that is enclosed by the sector.
where A is the area of the sector, θ is the central angle of the sector (measured in degrees), r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.
The formula for the area of a sector is:
A = (θ/360) x πr²
Angle made by sector=360-256=104
Radius of circle=14cm
Area of the sector DFE=∅/360×πr²
=104/360×π×14²
=177.8cm²
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PLEASE HELP! The height of a bottle rocket, in meters, is given by \(h(t) = -3t^{2} +36t+300, where t is measured in seconds. Compute the average velocity of the bottle rocket over the time interval t = 3 to t = 6.
Answer:
63 m/s
Step-by-step explanation:
h(3) = 3(3)² + 36(3) + 300 = 435
h(6) = 3(6)² + 36(6) + 300 = 624
v = Δh/Δt = (624m - 435m) / (6s - 3s) = 63 m/s
Jarrods filing status on last years tax return was single, while paige’s was head of household. If both had taxable incomes of 80,456, how did the amounts of taxes they paid compare according to the table below
Answer:
C. Jarrod paid $1335 more than Paige in taxes
Step-by-step explanation:
just took the test
The functions f(x) = 2x and g(x) = 2-x+ 3 are combined using division to get function h(x).
Which represents the combined function?
Oh(x) = 22x + 3, x20
O h(x) = 22% -3, 20
Oh(x) = 22x + 3
X E all real numbers
Oh(x) = 22x – 3 x € all real numbers
Answer: the answer is not C
Step-by-step explanation:
The function that represents the combined function is h(x) = 2x/(2x + 3).
where x ∈ all real numbers.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 2x
g(x) = 2x + 3
Now,
h(x) = f(x) / g(x)
h(x) = 2x / (2x + 3)
Where x ∈ all real numbers
Thus,
The combined function is h(x) = 2x / (2x + 3)
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What is the value of x if 25 = 5 x + 35 ?
Answer:
x=-2
Step-by-step explanation: hope this helps you out
25=5x+35
Switch sides
5x+35=25
Subtract 35 from both sides
5x+35-35=25-35
Simplify
5x=-10
Divide both sides by 5
5x/5}=-10/5
x=-2
if cosø = -5/13 and sin ø<0 what is tan ø
Answer:
12:5
Step-by-step explanation:
Write an equation of the line that passes through (0, -1) and is perpendicular to the line y = 1/9x + 2
An equation of the perpendicular line is y =
The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.
To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.
Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.
y = -9x + b
Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:
-1 = -9(0) + b
-1 = b
Therefore, the y-intercept (b) of the perpendicular line is -1.
Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:
y = -9x - 1
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Sharpe Razor Company has total assets of $1,870,000 and current assets of $667,000. It turns over its capital assets one times a year and has $335,000 of total debt. Its return on sales is 5 percent. What is Sharpe’s return on shareholders' equity?
If Its return on sales is 5 percent. Sharpe’s return on shareholders' equity is 8.26%.
How to find the return on shareholders' equity?First step is to find the fixed asset
Fixed asset = $1,870,000 + $667,000
Fixed asset = $2,537,000
Second step is to find the sales
Sales = Total assets × Fixed asset turnover
Sales = $2,537,000 × 1
Sales = $2,537,000
Third step is to find the stockholder equity
Stockholder equity = $1,870,000 - $335,000
Stockholder equity = $1,535,000
Fourth step is to find the net income
Net income = $2,537,000 × 5%
Net income = $126,850
Now let find the return on shareholders' equity
Return on shareholders' equity = Net income / Shareholders' equity
Return on shareholders' equity = $126,850 /$1,535,000
Return on shareholders' equity = 8.26%
Therefore 8.26% is the return on shareholders' equity.
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Choose ALL answers that describe the polygon MNOP if
MN = NO = OP = PM and m/M = m/N = m/0= m/P.
Parallelogram
Quadrilateral
Rectangle
Rhombus
Square
Trapezoid
Submit Answer
Only Square and Rhombus follows the given condition.
What are squares?
A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.
The most important properties of a square are listed below:
All four interior angles are equal to 90°.All four sides of the square are congruent or equal to each other.The opposite sides of the square are parallel to each other.The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other.The square has 4 vertices and 4 sides.The diagonal of the square divides into two similar isosceles triangles.The length of diagonals is greater than the sides of the square.Area of square=(side)²
Perimeter of square=4*side
As we can see from given properties square follows given conditions
and for rhombus also all sides and angles are always equal.
Hence,
Only Square and Rhombus follows the given condition.
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please help zkhdusjdushs
Answer:
48
Step-by-step explanation:
16×3=48
therefore the answer is forty eight
Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)
Answer:
A is the correct answer
Answer:
B
Step-by-step explanation:
The first number should represent the lawns, and the second should represent the money he makes on each lawn.
A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.
C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.
D is wrong because it is counting the price up by ten instead of adding 20.
B is right because every lawn is 20 more dollars, and that is what is shown.
Help me pls. This needs to be solved by the matrix method
To produce one unit of A requires 3 units of M1, 2 units of M2 and 6 units of M3. To produce one unit of B requires 3 units of M1, 2 units of M2, and 4 units of M3. To produce one unit of C requires 4 units of M3, 5 units of M1, and 7 units of M2. The manufacturer has an everyday available quantity of 71 thousand units of M1, 81 thousand units of M2 and 92 thousand units of M3.
Answer:
Step-by-step explanation:
Given this information, we can determine the maximum number of units of each product (A, B, and C) that can be produced with the given quantity of resources (M1, M2, and M3). To do this, we can use the formula:
Maximum number of units of product = Minimum of (available quantity of resource / resource required per unit of product)
For example, to find the maximum number of units of product A that can be produced, we take the minimum of the following three values:
(71,000 units of M1 / 3 units of M1 per unit of A) = 23,666.67 units of A
(81,000 units of M2 / 2 units of M2 per unit of A) = 40,500 units of A
(92,000 units of M3 / 6 units of M3 per unit of A) = 15,333.33 units of A
So the maximum number of units of A that can be produced is 15,333.33 units.
Similarly, we can find the maximum number of units of B and C that can be produced:
(71,000 units of M1 / 3 units of M1 per unit of B) = 23,666.67 units of B
(81,000 units of M2 / 2 units of M2 per unit of B) = 40,500 units of B
(92,000 units of M3 / 4 units of M3 per unit of B) = 23,000 units of B
So the maximum number of units of B that can be produced is 23,000 units.
(71,000 units of M1 / 5 units of M1 per unit of C) = 14,200 units of C
(81,000 units of M2 / 7 units of M2 per unit of C) = 11,571.43 units of C
(92,000 units of M3 / 4 units of M3 per unit of C) = 23,000 units of C
So the maximum number of units of C that can be produced is 11,571.43 units.
It is important to note that these calculations are based on the assumption that all resources are used fully and no resources are left over.
1 Soo divides a square into sixths. She colors one of the
equal parts red. What fraction of the square is red?
The fraction of the square that is red is 1/6.
Define fractionA fraction is a number that represents a part or parts of a whole. It consists of two numbers separated by a horizontal or diagonal line, with the number above the line (numerator) representing the part and the number below the line (denominator) representing the whole. For example, the fraction 3/4 represents three parts out of a whole that is divided into four equal parts.
A square divided into six equal parts has six equal sixths.
If Soo colors one of these equal parts red, then she has colored one-sixth of the square red.
Therefore, the fraction of the square that is red is 1/6.
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Let u = ⟨–2, –3⟩ and v = ⟨3, –1⟩. Which graph shows u – v?
A) The first graph
It is indeed correct on Edge
The graph shows (u - v) for the given vectors u and v will be the one with vectors at (-5, -2).
What is vector ?A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
We have,
u = (-2, -3) and v = (3, -1)
So,
To subtract two vectors, subtract the corresponding components.
i.e. The difference of u and v vector = ( u₁ - v₁, u₂ - v₂)
i.e.
u = (-2, -3) and v = (3, -1)
i.e.
u₁ = -2,
u₂ = -3,
v₁ = 3,
v₂ = -1
Now,
(u - v) = ( u₁ - v₁, u₂ - v₂)
i.e.
(u - v) = [( -2 - 3 ), ( -3 - (-1) )]
On solving,
We get,
(u - v) = (-5, -2)
Hence, we can say that the graph shows (u - v) for the given vectors u and v will be the one with vectors at (-5, -2).
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What’s the circumference of a circle with radius of 10 inches? Use 3.14 for pie
\(\frac{6-\sqrt{8} }{\sqrt{2}-1 }\)
Answer:
2 +4√2
Step-by-step explanation:
Perhaps you want the simplified form of (6-√8)/(√2 -1).
ConjugateThe denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:
\(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)
__
Additional comment
The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.
The same "difference of squares" relation can be used to remove a complex number from the denominator.
(a -b)(a +b) = a² -b²
In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.
<95141404393>
Answer:
\(4\sqrt{2}+2\)-----------------------
Simplify the expression in steps:
\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)
\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)
\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)
\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)
\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)
\(\cfrac{2(2\sqrt{2}+1) }{1} =\)
\(4\sqrt{2}+2\)
Daisy is single with two children. Her income before deductions was $48,759. Her total deductions were $9,359. What is her adjusted income?
Daisy adjusted income is $39,400
\(\begin{gathered} \text{Her adjusted income=48759-9359}=39400\text{dollars} \\ \end{gathered}\)The spinner below shows 5 equally sized slices. Tammy spun the dial 25 times and got the following results. Fill in the table below. Round your answers to the nearest thousandths.
Answer:
a) 4/25, or 0.16, or 16%
b) 1/5, or 0.2, or 20%
c) The first option - the theoretical and experimental values should become closer the more trials that are performed.
Step-by-step explanation:
a) 4 of Tammy's 25 spins landed on black, so the experimental probability is 4/25, or 0.16, or 16%.
b) The spinner is split into 5 equal sections. Assuming it is fair, the chance of landing in any given section for a single spin is 1/5, or 0.2, or 20%.
c) The theoretical and experimental values should get closers the more trials you do.
For example, consider 1 coin flip vs 100. The theoretical probability of landing on a given side of a coin is 1/2, or 0.5, or 50%. With a single flip, your experimental probability will either be 0% or 100%, both off of the theoretical probability by 50%. After 100 flips however, the experimental and theoretical probabilities will be much closer to each other.
The figure is made up of a square and a rectangle. Find the area of the shaded region.
first we do
square is length 6 so base =6
10-6=4
the rectangle is 2 by 4
base=4
square is 6 by 6
rectangle is 4 by 2
split the triangles up
area of triangle=1/2base times height
rectangle triangle base=4
height=2, area=1/2 times 2 times 4=4
square triangle
flip 90 degrees clockwise so we have base=2
height=6
area=1/2 times 2 times 6=6
add
4+6=10
total area=10m^2
Which function is shown in the graph below?
Answer:
\(for \: x = 0 \\ y = 7 \\ the \: seccond \: answer \: is \: corect \\ for \: x = 0 \\ y = {2}^{2} + 3 = 7\)
Answer all questions shown
Read the problem and decide whether it has too much or too little
information.
Harvey the Huge once lifted a box filled with 100 bricks and 50 rocks. Each
brick weighed 10 pounds. The rocks were all fairly small. What is the total
weight of what Harvey lifted?
A. Too little
B. Too much
Answer:
B. Too little information.
Step-by-step explanation:
The information provided in the problem is sufficient to determine the total weight of what Harvey lifted. Therefore, the problem has:
B. Too little information.
In AABC, m LACB 90°, CD I AB and m LACD -45°. Find:
Find CD, if BC = 3 in
459
B В
D
Answer:
CD = (3√2)/2 = 2.12 in.
Step-by-step explanation:
Reference angle = m<BCD = 45°
Hypotenuse = BC = 3 in.
Adjacent side = CD = ??
Apply trigonometric ratio
Cos(45) = CD/3
Multiply both sides by 3
3*Cos(45) = CD
3*√2/2 = CD (cos 45 = √2/2)
(3√2)/2 = CD
CD = (3√2)/2 = 2.12
Pls help this is the only question I don’t know!
Answer:
Store B
Step-by-step explanation:
Store A- $80
Store B- $79.2
Store C- $79.8
Store D- $81
what answer? here, can you answer that? thankyou
It should be noted that the number of sample size based on the information will be 300.
How to explain the sampleIn order to calculate the sample size, we can use the following formula:
n = z² * p * (1-p) / E²
n = 1.96² * 0.5 * (1-0.5) / 0.05²
= 300
A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.
In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".
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What am I supposed to do here, I don't see a triangle.
Answer:
its the angle
Step-by-step explanation:
im pretty sure