Answer:
The Answers are right under you.
length of a rectangle with a width of 10 and an area of 150 meters
We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.
In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:
150 = l × 10
Dividing both sides by 10, we get:
15 = l
Therefore, the length of the rectangle is 15 meters.
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Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto: $30,000 Estimated life: 5 years Residual value: $800 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 $30,000 A B C D E 2 $30,000 F G H I J 3 $30,000 K L M N O
The table is completed as follows using the double-declining-balance method of depreciation:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
The double-declining-balance approach is what?
The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.
In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.
At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.
The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.
Auto = $30,000
Estimated useful life = 5 years
Residual = $800
Depreciable amount = $30,000 - $800 = 29,200
Straight-line depreciation rate = 100/5 = 20%
Double-declining depreciation rate =20% x 2 = 40%
Depreciation Expense:
1st year = 30,000 x 40/100 = 12,000
2nd year = 18,000 x 40/100 = 7,200
3rd year = 10,800 x 40/100 = 4,320
4th year = 6,480 x 40/100 = 2,592
5th year = 3,888 x 40/100 = 1,555
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
4 $30,000 $23,520 $6,480 $2,592 $26,112 $3,888
5 $30,000 $26,112 $3,888 $1555 $27,667 $2,332
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A study of malaria transmission in Africa tested whether drinking beer increased attractiveness to mosquitoes. Yes, this is a real story (Lefevre et al. 2010. PLOS One5:e9546), and for simplicity I have changed some details from what they actually did. The researchers opened a container of 50 mosquitoes and looked at what proportion of the 50 mosquitoes left the container and flew towards the volunteer person. They did this experiment with 30 persons and each person was tested twice, once before they drank anything and then (an hour later) after they had consumed a beer. Assuming that the proportions of mosquitoes are normally distributed and the variances are similar, what would be the best test to see if more mosquitoes are attracted to people after drinking a beer
Answer:
The best test to see if more mosquitoes are attracted to people after drinking beer is the z-test for the difference in proportion of two populations
Step-by-step explanation:
The study tested if drinking bear increases the attractiveness to mosquitoes
The number of people the taking part in the study, n = 30 people
The total number of mosquitoes in the study = 50 mosquitoes
The proportion of mosquitoes flying to each volunteer is measured before and one hour after consuming bear
The mean number of mosquito flying towards a volunteer can be found by summing the other proportions that fly towards the 30 volunteers and dividing by n₁ = 30, before and n₂ = 30 after the respondents had bear to obtain \(\hat{p}_{1}\) and \(\hat{p}_{2}\)
Given that the variances are equal and the sum of the sample for the two tests, n₁ + n₂ = 60 > 30, it is, best to use the the z-test for the difference in proportion as follows;
\(Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}\)
Where the pooled mean, \(\hat p\), is given as follows;
\(\hat p = \dfrac{n_1 \cdot \hat p_1 + n_2 \cdot \hat p_2}{n_1 + n_2}\)
The height h and collar size c , both in centimeters, measured from a sample of boys were used to create the regression line cˆ=−94+0.9h . The line is used to predict collar size from height, both in centimeters, for boys’ shirt collars. Which of the following has no logical interpretation in context?
Answer:
The C=intercept of the regression line
Step-by-step explanation:
The slope of the regression line has a logical interpretation as the average rate of change in collar size for a 1cm increase in height.
A linear regression is represented as \(^\wedge y = mx + c\)
The option that has no logical interpretation is: E The c-intercept of the regression line
From the question, we have:
\(^\wedge c = 94 + 0.9h\)
Using the above representation of a regression line \(\wedge y = mx + c\)
\(m \to\) the slope
\(c \to\) the y-intercept
By comparing \(\wedge y = mx + c\) to \(^\wedge c = 94 + 0.9h\)
\(0.9 \to\) slope
\(94 \to\) the y-intercept
While \(^ \wedge c\) and \(h\) are the variables (i.e. collar size and height)
From the list of given options (see attachment), the option that has no logical interpretation is:
E. The c-intercept of the regression line
This is because c does not represent the intercept of \(^\wedge c = 94 + 0.9h\)
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A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
Answer:43090
Step-by-step explanation: Pt=35000*2 3/10
Pt= 43090.0545
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
iiii need heeelllppp with this one
Step-by-step explanation:
line passes through the point (5,0) and another one (0,3)
equation of the line passing through two points is
x-x1/x2-x1=y-y1/y2-y1
so
x-5/0-5=y-0/3-0
(x-5)*3=y*(-5)
3x-15+5y=0
this is the equation of the line shown in the graph
The front wall of the storage shed is in the shape of a trapezoid.
The bottom measures 12 feet, the top measures 10 feet, and the height
is 6 feet, find the area of the front wall of the shed.
10ft
bft
12ft
Square Feet
Answer:
66 square feet
Step-by-step explanation:
please review the attachment for a detailed explanation
1600 in expanded form
Answer:
In expanded form, the number 1600 can be shown as
1000
+ 600
+ 00
+ 0
Help me yall I'll put my trust in you
Answer:
b
Step-by-step explanation:
A = | 1 0 -2|
| -3 1 1|
| 2 0 -1|
B= | 2 3 0|
| 1 -1 1|
| -1 6 4|
Use the matrix-column representation of the product to write each row of BA as a linear combination of the columns of B.
Each row of BA can be written as a linear combination of the columns of B as follows:
Row 1 of BA = 1 * Column 1 of B + (-3) * Column 2 of B + 2 * Column 3 of BRow 2 of BA = 3 * Column 1 of B + 1 * Column 2 of B + 0 * Column 3 of BRow 3 of BA = (-4) * Column 1 of B + 5 * Column 2 of B + (-2) * Column 3 of BTo obtain the product BA, we multiply matrix B with the matrix A in the order BA. Each row of BA is then a linear combination of the columns of B, with the coefficients of the linear combination given by the corresponding row of A. We can then write each row of BA as a linear combination of the columns of B, as shown below.
BA = | 2 9 -6|
|-8 -2 2|
| 1 18 10|
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write 804 billion in ordinary decimal notation and in scientific notation
Answer:804,000,000,000 & 8.0e+11
Step-by-step explanation:
logic
PLEASE HURRY IM IN A RUSH!!!<3
Answer:
64 and 100 are the squares
Answer:
\(8^{2} = 8*8=64\\10^{2} = 10*10=100\)
Step-by-step explanation:
Hope it helps,... Chow,...!
Which graph represents points on the polar curve r = –4sin(3θ)?
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
What are Polar coordinates?Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.
To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).
Given data ,
Let the polar curve be represented as A
Now , the polar coordinates is given as
r = -4 sin ( 3θ )
And , To graph the polar curve, we make use of the following representations:
r represents the y-axis
θ represents the x-axis
So , on simplifying , we get
The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted
Hence , the polar curve is r = -4 sin ( 3θ )
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Answer:
D
Step-by-step explanation:
A body is moving in simple harmonic motion with position function
s(t)= 4 + 5 cos t
Find the body’s velocity at t= 2π/3
The velocity of the body under simple harmonic motion is equal to - 5√3 / 2. (Correct choice: B)
How to find the velocity of a body under simple harmonic motion
Simple harmonic motion is a kind of self-sustained periodic motion that observed the following formula:
y = y' + Δy · cos ωt (1)
Where:
y' - Initial positionΔy - Amplitudeω - Angular frequency.t - TimeThe equation for the velocity of the body in simple harmonic motion is found differentiating (1):
v = - ω · Δy · sin ωt (2)
If we know that ω = 1, t = 2π / 3 and Δt = 5, then the velocity of the body is:
v = - 1 · 5 · sin (2π / 3)
v = - 5 · sin (2π / 3)
v = - 5 · √3 / 2
v = - 5√3 / 2
The velocity is equal to - 5√3 / 2.
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find the domain of
f(x)= x-2
——
x^3+x
I already know the answer but I just need to know HOW to get the answer, like steps.
Answer:
See below.
Step-by-step explanation:
So we have the rational function:
\(f(x)=\frac{x-2}{x^3+x}\)
Now, remember that the domain of rational functions will always be all real numbers... except when the domain is 0.
In other words, to find our domain restrictions, we simply need to solve for the zeros of our denominator.
So, set the denominator to 0 and solve for x:
\(x^3+x=0\)
Factor out an x:
\(x(x^2+1)=0\)
Zero Product Property:
\(x=0\text{ or } x^2+1=0\)
So, our x cannot be 0 according to our first answer.
For the second answer, subtract 1 from both sides:
\(x^2=-1\)
This isn't possible on our coordinate plane. We have no real solution.
Therefore, our only domain restriction is that x cannot be equal to 0.
Therefore, our domain is all real numbers except for x=0.
In set notation, this is:
\(\{x|x\in\mathbb{R},x\neq 0\}\)
And in interval notation, this is:
\((-\infty,0)\cup (0,\infty)\)
please help me please pleasr please
Answer:
which one's anwer you want
2. length= 65 ft width=24 m area=135 in2
What is the symbol ~, if you're trying to find the probability of ~A?
the addition probability
the probability of the event not happening
the multiplication probability
None of these choices are correct.
Solve this composite function:
According to the given composite function the correct answer is , (g o h)\((n/2) = 8n^2 + 42n + 35.\)
What is a composite function?
A composite function is a function that is formed by combining two or more functions. It is obtained by taking the output of one function and using it as the input of another function.
Suppose we have two functions, f(x) and g(x). The composite function of f and g, denoted by f o g, is defined as:
(f o g)(x) = f(g(x))
In words, this means that we apply the function g to the input x, and then we apply the function f to the output of g. The result is a new function that combines the effects of both f and g.
For example, if we have \(f(x) = x^2\) and g(x) = 2x + 1, then the composite function f o g is:
\((f o g)(x) = f(g(x)) = f(2x + 1) = (2x + 1)^2 = 4x^2 + 4x + 1\)
The composite function f o g takes an input x, applies g to it to get 2x + 1, and then applies f to that to get \(4x^2 + 4x + 1\) as the final output.
To compute (g o h)(n/2), we need to first evaluate h(n/2) and then substitute the result into g(n) in place of n.
So, first we evaluate h(n/2):
h(n/2) = 4(n/2) + 5 = 2n + 5
Now we substitute this expression into g(n):
\(g(h(n/2)) = 2(h(n/2))^2 + h(n/2)\)
\(= 2(2n + 5)^2 + (2n + 5)\)
\(= 2(4n^2 + 20n + 25) + 2n + 5\)
\(= 8n^2 + 42n + 35\)
Therefore, \((g o h)(n/2) = 8n^2 + 42n + 35.\)
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if you could help that would be greatly appreciated
Answer: search
Step-by-step explanation: look up the question on your browser and the answer will pop up
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
HELP How can you test to see if a diagram made using digital tools is a construction or just a drawing based on estimation? O Digital tools cannot be used to make a construction. Construction tools are limited to only straightedge and compass. O Look to see just how accurate the diagram appears. If needed, measure the screen using a ruler and protractor. O Drag a free point to see if the construction changes. Restart your computer and see if the diagram is found in the same location.
One can be able to test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:
Drag a free point to see if the construction changes. Restart your computer and see if the diagram is found in the same location.What is digital construction technology?Digital Construction is known to be a term that connote the act of using digital technologies to be able to make construction to be more better and with higher quality.
Note that a lot of the new technologies have been seen to have proven themselves and gives a lot of opportunities for the construction,
In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.
Therefore, One can be able to test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:
Drag a free point to see if the construction changes. Restart your computer and see if the diagram is found in the same location.Learn more about construction tools from
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Sara gave 1/4
of her money to each of her 3 sisters. What fraction of her money
did she give away?
Answer:
3/4
Step-by-step explanation:
3*(1/4)=3/4
Write the following Arithmetic Sequence using a Recursive Formula: a = -7 + 3(n - 1)
A : A1 = -7, an = an-1 + 3
B : A1= -7, a, = an+1 + 3
C : A1 = 3, an = an+1 - 7
D : A1 = 3, an = an-1 - 7
NEED ANSWER ASAP
Answer:
A : A1 = -7, an = an-1 + 3
Step-by-step explanation:
a1=-7, a2=-7+(1)3=-4
a3=-7+(2)3=-1
write y+4=-2(x-1) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
A direct variation includes the points (2,18) and (n,9). Find n?
The value of the n is 1
In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.
To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.
(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:
18 = k(2)
k = 18/2
k = 9
Now that we have found the value of k, we can use it to find n when y = 9:
9 = 9n
n = 1
Therefore, the value of n is 1.
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Rita owed her brother $15 after her birthday she was able to pay him back and still had $45 how much money did Rita receive for her birthday
Answer: 60
Step-by-step explanation:
-15+60=45
X+Y=4.25
16.90X+4Y=36.35
What are the values of X and Y
Answer:
Y = 2.75X = 1.5Step-by-step explanation:
X+Y=4.25
16.90X+4Y=36.35
That means that;
X = 4.25 - Y
Substituting X into the second equation is;
16.90 * (4.25 - Y) + 4Y = 36.35
71.825 - 16.90Y + 4Y = 36.35
71.825 - 12.90Y = 36.35
71.825 - 36.35 = 12.90Y
Y = 35.475/12.90
Y = 2.75
X = 4.25 - Y
= 4.25 - 2.75
= 1.5
From the computation done, the value of X is 2.75 and Y is 1.5.
The following information can be depicted:
X + Y=4.25 .... i
16.90X + 4Y=36.35 ..... ii
From equation i
X = 4.25 - Y
We'll substitute X into the second equation and this will be:
16.90(4.25 - Y) + 4Y = 36.35
71.825 - 16.90Y + 4Y = 36.35
71.825 - 12.90Y = 36.35
Collect life terms
71.825 - 36.35 = 12.90Y
Y = 35.475/12.90
Y = 2.75
Since X = 4.25 - Y
X = 4.25 - 2.75
X = 1.5
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X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864