Answer:
$6,399 is withheld from her income.
Step-by-step explanation:
255,960 - 249,561 (i.e 2.5% of 255,960) = 6,399.
Find the height of a rectangular box of length 8 cm, width 6 cm where the length of a diagonal is 11 cm.
Answer:
√21 cm
Step-by-step explanation:
diagonal of the base = \(\sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10\) cm
height = \(\sqrt{11^2-10^2} = \sqrt{121-100} = \sqrt{21}\) cm
we use the formula ...
\(h = \sqrt{ {d}^{2} - {l}^{2} - {w}^{2} }\)
and then keep the value respectively....
in the given question,
l=8cm
w=6cm
d=11cm
so,
\(h = \sqrt{ {11}^{2} - {8}^{2} - {6}^{2} } \)
\( or. \: h = \sqrt{121 - 64 - 36} \)
by solving we get ...
height = 4.58 cm
Choose >, <, or = to compare each pair of numbers
0.842 _____ 0.824
Answer:
>
Step-by-step explanation:
Here's a trick when compareing fractions: turn them into percents then try it from there Hth!!
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
Find the value of x. Give reasons to justify your solution.
How the ffffffffffffffffffffffffffffffffffffffffff
5) The diagram below shows a ramp connecting the ground
to a loading platform 4.5 feet above the ground. The ramp
measures 11.75 feet from the ground to the loading
platform. What is the angle of elevation formed by the
ramp and the ground to the nearest degree?
Step-by-step explanation:
///////hope it helps:)
The trigonometric function gives the ratio of different sides of a right-angle triangle. The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse.
What is Sine (Sinθ)?The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The angle of elevation is equal to,
The angle of elevation = Sin⁻¹ (4.5/11.75)
= 22.5183° ≈ 23°
Hence, the angle of elevation formed by the ramp by the ground to the nearest degree is 23°.
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unit 1 geaometry basics homework 3
midpoint and formulas (-4,6) and (3,-7)
Answer: (-1/2, -1/2)
Please mark me as Brainliest
V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
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heeeeeeeeeellllllllllppppppppppppp
Answer:
AB = 28 , BC = 17.5 , X = 13.2
Step-by-step explanation:
since the figures are similar then the ratios of corresponding sides are in proportion, that is
\(\frac{AB}{PQ}\) = \(\frac{AD}{PS}\) ( substitute values )
\(\frac{AB}{8}\) = \(\frac{14}{4}\) ( cross- multiply )
4 AB = 8 × 14 = 112 ( divide both sides by 4 )
AB = 28
and
\(\frac{BC}{QR}\) = \(\frac{AD}{PS}\) ( substitute values )
\(\frac{BC}{5}\) = \(\frac{14}{4}\) ( cross- multiply )
4 BC = 5 × 14 = 70 ( divide both sides by 4 )
BC = 17.5
similarly for the 2 similar figures
\(\frac{x}{6}\) = \(\frac{11}{5}\) ( cross- multiply )
5x = 6 × 11 = 66 ( divide both sides by 5 )
x = 13.2
Answer:
\(\overline{AB}=28\)
\(\overline{BC}=17.5\)
\(x=13.2\)
Step-by-step explanation:
Question 4If quadrilateral PQRS is similar to quadrilateral ABCD, their corresponding sides are in the same ratio:
\(\overline{PQ} : \overline{AB} = \overline{QR} : \overline{BC} = \overline{RS} : \overline{CD} = \overline{SP}:\overline{DA}\)
From inspection of the two quadrilaterals, the given side lengths are:
\(\overline{PQ} = 8\)
\(\overline{QR} = 5\)
\(\overline{RS} = 6\)
\(\overline{SP} = 4\)
\(\overline{DA} = 14\)
Substitute these into the ratio equation:
\(8 : \overline{AB} = 5 : \overline{BC} = 6 : \overline{CD} = 4:14\)
Solve for AB:
\(8 : \overline{AB} = 4:14\)
\(\dfrac{8}{\overline{AB}}= \dfrac{4}{14}\)
\(8 \cdot 14=4 \cdot{\overline{AB}}\)
\(\overline{AB}=\dfrac{8 \cdot 14}{4}\)
\(\boxed{\overline{AB}=28}\)
Solve for BC:
\(5 : \overline{BC} = 4:14\)
\(5 \cdot 14=4 \cdot \overline{BC}\)
\(\overline{BC}=\dfrac{5 \cdot 14}{4}\)
\(\boxed{\overline{BC}=17.5}\)
\(\hrulefill\)
Question 5Assuming the two figures are similar, their corresponding sides are in the same ratio. Therefore:
\(x:6=11:5\)
\(\dfrac{x}{6}=\dfrac{11}{5}\)
\(x=\dfrac{11 \cdot 6}{5}\)
\(x=\dfrac{66}{5}\)
\(\boxed{x=13.2}\)
find slope of ( -2, 1) , (6, -1
Answer:
-2/4 or -1/2
Step-by-step explanation:
y1-y2 -1-1=-2
_____ 6-2=4
x1-x2
Answer:
slope= -4
Step-by-step explanation:
1-(-1)=2
(-2) - 6 = -8
-8/2= -4
what is.25 times .26
Answer:
25 x 26 = 650
0.25 x 0.26 = 0.065
Step-by-step explanation:
Larry needs to hire a new employee. Current projections indicate that the department will generate 8 million USD in gross revenue. Larry is expected to maintain a 15% annual profit margin. Current projected expenses for the year are 6.3 million USD. For budgeting purposes, the actual cost of an employee is assumed to be twice the employee’s annual salary. Based on his budget and current projections, what is the maximum salary Larry can offer a new employee?
The maximum salary Larry can offer a new employee per annum is $250,000.
How the maximum salary is determined:The maximum salary conferrable on a new employee is based on projections, worked out as follows:
The gross revenue to be generated = $8 million
Annual profit margin = 15% or $1.2 million ($8 million x 15%)
Current projected expenses for the year = $6.3 million
Actual cost of an employee = $0.5 million ($8 - 1.2 - 6.3)
Maximum salary = $250,000 ($0.5 million x 50%).
Thus, based on current projections of a gross revenue of 8 million USD with a 15% annual profit margin and projected expenses of 6.3 million, the maximum salary that Larry can offer a new employee is $250,000.
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What I'd the measure of < jkl
Answer:
Your answer should be 116°
Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.
Answer:
Kari = 20 hours
Chris = 10
Mark = 10
Explanation:
K is Kari's hours
C is Chris's hours
Karis = 2 x C = K
Chris = C
Mark = C
3C - 10 = K
Assume C is 10 (since 10 is 1/3 of the hours mentioned)
2 x 10 = 20 so K worked 20 hours
20 is twice as much as 10 (C's hours)
and it's 30 - 10 (10 less than 3 times as many hours as Mark)
i need this answer as fast and soon as possible
Answer:
1.732
Step-by-step explanation:
amara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes 180 times?
Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.
To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.
Let's examine the chart and count the number of times each sum occurs:
Sum: 2, Occurrences: 1
Sum: 3, Occurrences: 2
Sum: 4, Occurrences: 3
Sum: 5, Occurrences: 4
Sum: 6, Occurrences: 5
Sum: 7, Occurrences: 6
Sum: 8, Occurrences: 5
Sum: 9, Occurrences: 4
Sum: 10, Occurrences: 3
Sum: 11, Occurrences: 2
Sum: 12, Occurrences: 1
Now, let's calculate the probabilities of each sum occurring.
Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:
Probability of sum 2 = 1/36
Probability of sum 3 = 2/36
Probability of sum 4 = 3/36
Probability of sum 5 = 4/36
Probability of sum 6 = 5/36
Probability of sum 7 = 6/36
Probability of sum 8 = 5/36
Probability of sum 9 = 4/36
Probability of sum 10 = 3/36
Probability of sum 11 = 2/36
Probability of sum 12 = 1/36
To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.
For example, to find the expected number of times the sum is 7:
Expected occurrences of sum 7 = (6/36) \(\times\) 180 = 30
Similarly, we can calculate the expected occurrences for all other sums.
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Oi anybody who solves this quick get 50 pts
Answer:
l like ya g
Step-by-step explanation:
I forgot mostly uHm
If u have 40 dollars which is 8 times more money than Jefferson has how much money does Jefferson have
Write it as an equation, letting the amount Jefferson has equal x:
40 = 8x
Solve for x by dividing both sides by 8:
X = 40/8
X = 5
Jefferson has $5
an adventurous dog strays from home, runs five blocks east, four blocks north, five blocks east, two blocks north, and three blocks west. assuming that each block is about 100 m, how far (in m) from home and in what direction (in degrees counterclockwise from the east axis) is the dog? use a graphical method.
The distance between the Dog from the Home is 360.55 m and the direction of the Dog from Home is North-East.
In the inquiry,
The daring dog begins, let's say, at O.
He walks 300 meters east by 3 blocks.
then,
200 m / 2 blocks north
100 m East of 1 block
Block North = 100 meters.
200 m = 2 blocks west
So,
the separation between the Dog's initial location and ending position.
OE is supplied by,
By using Pythagoras' theorem to triangle OLE,
OE²=OL²+LE²
OE²=200²+300²
OE²=40000+90000
OE=360.55m
Therefore, the distance of the Dog from the Home is 360.55 m and the direction of the Dog from Home is North-East.
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Which of the following logarithmic is equivalent to the logarithmic expression
Given,
The expression is,
\(\log (r)+\log (v)\)By the properties of the logarithmic,
\(\begin{gathered} \log (a)+\log (b)=\log (ab) \\ \log (a)-\log (b)=\log (\frac{a}{b}) \\ \log a^b=b\text{ log a} \end{gathered}\)So, according to the properties, the given expression becomes,
\(\log (r)+\log (v)=\log (rv)\)Hence, the solution is log (rv).
these box plots show the basketball scores for two teams compare the shape of the box plots
A statement which correctly describes the comparison between the shapes of the box plots include the following: A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.
What is skewness?In Mathematics, skewness can be defined as a measure of the asymmetry of a box plot (box-and-whisker plot) or histogram and as such, a box plot (box-and-whisker plot) or histogram has a normal distribution when it is symmetrical.
By critically observing the box plot (box-and-whisker plot) which represent basketball scores for the Bulldogs basketball team has a median of 80 (vertical line dividing the box into two equal halves), which simply means that both whiskers on either sides of the box plot (box-and-whisker plot) are relatively equal and symmetric.
On the other hand (conversely), the box plot (box-and-whisker plot) for the Wolverines basketball team shows that the median is more closer to the third quartile (upper quartile) and the whisker to the right of the box plot is longer, which ultimately implies that Wolverines' distribution is negatively skewed.
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Complete Question:
These box plots show the basketball scores for two teams.
Bulldogs
55 70 80 90 105
Wolverines
35 55 80 85 96
Basketball scores
Compare the shapes of the box plots.
A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.
B. Both distributions are symmetric.
C. Both distributions are negatively skewed.
D. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is positively skewed
find the first 3 powers of 7
Answer:
7, 49, 343
Step-by-step explanation:
Just do it
If spring A has a spring constant which is 8 times spring B's spring constant, what is the ratio of their periods? Which is the stiffer spring?
If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and \(\frac{9K}{8}\)
Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.
Given that,
If spring A has a spring constant which is 8 times spring B's spring constant,
Let us assume,
A spring is cut into two parts of length La and Lb
Also given that La : Lb
La : Lb = 1 : 8
The total of spring constant is = 1 + 8 = 9
If the length of spring is L , then La
La = \(\frac{L}{9}\)
And length of B , Lb
Lb = \(\frac{8L}{9}\)
We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .
K ∝ 1 / L
If initial spring constant is k then,
kL= KaLa = KbLb
Then,
Ka = \(\frac{K}{\frac{1}{9} }\)
Ka = 9K
And Kb = \(\frac{K}{\frac{8}{9} }\)
Kb = \(\frac{9K}{8}\)
Hence, stiffness of A is given by, 9K
Stiffness of B is given by \(\frac{9K}{8}\)
Therefore,
If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and \(\frac{9K}{8}\)
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please help me solve this problem
The features related to vectors are listed below:
Case A: u' = (- 4√41 / 41, - 5√41/ 41)
Case B: Tip coordinantes of vector v: (x, y) = (10, 10)
Case C: r = 11.402
How to determine vectors
In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.
Case A - Unit vector
Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:
u' = u / ||u||
Where:
u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.Please notice that the magnitude of the vector is determined by Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
Where:
r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.Thus, the unit vector of u is:
u' = (- 4, - 5) / √[(- 4)² + (- 5)²]
u' = (- 4, - 5) / √41
u' = (- 4 / √41, - 5 / √41)
u' = (- 4√41 / 41, - 5√41/ 41)
Case B - Definition of a vector
This can be found easily by vector subtraction:
v = Tip coordinates - Base coordinates
(3, 4) = (x, y) - (7, 6)
(x, y) = (3, 4) + (7, 6)
(x, y) = (10, 10)
Case C - Magnitude of a vector
The magnitude is found by means of Pyhtagorean theorem:
r = √[(- 4 - 3)² + (- 5 - 4)²]
r = √[(- 7)² + (- 9)²]
r = 11.402
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Can someone please help me with this
Step-by-step explanation:
sorry it's not clear.
thank you
Chad will have new carpet put on the rectangular floors of two rooms in his house. One
floor is 12 feet long, and the other floor is 15 feet long. Each floor has a width of 10
feet.
What is the total area in square feet of the new carpet?
Answer: 270 ft²
Step-by-step explanation:
The dimensions of 1 room is 10 ft x 12 ft
The other room is 10 ft x 15 ft
For area multiply the length and width and add the 2 areas
so A1 = 10x12=120 ft²
A2 = 10x15 =150 ft²
Total area is 150+120 =270 ft²
PLEASE HELP NO LINKS PLEASE In a certain town, 62% of the residents enjoy riding roller coasters. Alfred takes a sample of 75 residents from this, town. What is the probability that fewer than 58% of the residents in the sample enjoy riding roller coasters? Find the z-table here. O 0.238 O 0.433 O 0.714 O 0.762
Answer:
Option B
Step-by-step explanation:
Here ,
The mean value is 0.62
Z value formula is
z = (x' -mean)/(sigma/sqrt (n))
Substituting the given values, we get -
sigma = Sqrt {(x'-mean)^2/n}
Sigma = sqrt { (0.58-0.62)^2/75} = 0.09
z = (0.58-0.62)/(0.09)
z = -0.433
Hence, option B is correct
Answer:
im choosing A cause my answer shows 0.238 ill let yall know what i get
Step-by-step explanation:
I got a hundred
Standard Dev: 0.05604
0.58-0.62 / 0.05604 = (Z-Score) -0.713
Please help with this anyone
Look at the graph below. Is it a function or not a function? Explain your reasoning.
Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)
Which of the following equations is not a true statement?
-5 + 6 = -1
7 - (-3) = 10
-9 - (-4) = -5
-7 - 10 = -17
PLEASE ANSWER FAST IM IN A HURRY
Answer:
It's not correct statement
Step-by-step explanation:
-5 + 6 = -1