The equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is
S = 15 - 0.75t
Writing an equationFrom the question, we are to write an equation for S, in terms of t, that represents the depth of the snow on Emily's lawn, t hours after the snow stopped falling
From the given information,
"There was a depth of 15 inches of snow on the lawn when the storm ended"
and
"after 4 hours, the depth of snow was down to 12 inches"
That is,
The snow has reduced by 15 - 12 inches after 4 hours
15 - 12 = 3
Thus,
The snow has reduced by 3 inches after 4 hours
Now,
If the snow reduced by 3 inches after 4 hours,
Then,
The snow will reduce by x inches after 1 hour
x = (3×1)/4
x = 3/4 inches
x = 0.75 inches
This means the snow reduces by 0.75 inches every hour.
Now,
After t hours, the snow would have reduced by 0.75t
Thus, the depth of the snow, S, after t hours will be
S = 15 - 0.75t
Hence, the equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is
S = 15 - 0.75t
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Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the financial statements for December 20XX. Now, it is time to make the closing entries.
We will close the expense accounts second: what dollar amount will I enter for the Income Summary account? Specify as a whole number.
The dollar amount for the Income Summary account for expenses in making the closing entries is $60,360.
What are closing entries?Closing entries are the end-of-the-period journal entries made to transfer the temporary accounts to the Income Summary.
The closing entries are:
Revenue to income summaryExpenses to income summaryIncome summary (net income or loss) to retained earningsDividends to retained earnings.How will the closing entry be for expenses?The closing entry for expenses will be as follows:
Debit Income Summary $60,360
Credit:
Salaries Expense: 32,800
Rent Expense: 16,800
Depreciation expense - office equipment: 3,960
Advertising expense: 4,000
Office supplies expense: 2,800
To close the expenses to the Income Summary account.Data and Calculations:Salaries Expense: 32,800
Rent Expense: 16,800
Depreciation expense - office equipment: 3,960
Advertising expense: 4,000
Office supplies expense: 2,800
Total expenses = $60,360
Thus, the dollar amount for the Income Summary account for expenses in making the closing entries is $60,360.
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The total bill at a restaurant was $42.50. If you want to tip the waitress 15%, how much tip should you leave? A. $6.38
B. $6.37
C. $63.75
D. $637.50
Triangle BCD has the following side lengths: BC = 60, CD = 50
Triangle RST has the following side lengths: RS: 11x-4, ST = 70
What is the value of x?
What is the length of side RS?
The value of x is 11 and the length of side RS is 117
How to determine the value of x?The given parameters are
BC = 60 and CD = 50
RS = 11x - 4 and ST = 70
Express as a ratio
BC : CD = RS : ST
So, we have
60 : 50 = 11x - 4 : 70
Express as fraction
60/50 = (11x - 4)/70
Cross multiply
50 * (11x - 4) = 70 * 60
Divide both sides by 50
11x - 4 = 84
This gives
11x = 88
Divide
x = 11
Substitute x = 11 in RS = 11x - 4
RS = 11 x 11 - 4
Evaluate
RS = 117
Hence, the value of x is 11 and the length of side RS is 117
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I don’t know how to do big seven
Answer:
70
Step-by-step explanation:10 goes to 70 7 times drop down the 0 and u get 70 therefore final answer 70
who likes anime??
if you do then what kinds?
Answer:
de girly typede high sch onesetc.Answer: meee
Step-by-step explanation: Hunterx.Hunter, Jujutsu Kai.sen, T.okyo Reveng.ers, De.ath Note, Noble.sse, and some more others l.ol
part 1 of 2
Video games cost $20 each. The video store
is running a special of 2 games for $33.
What is the cost per game under the spe-
cial?
Answer in units of dollars/game.
part 2 of 2
How much do you save per game?
Answer in units of dollars/game.
Answer: C i took the test
" If you buy a new cell phone, your opportunity cost is the time you could spend talking on the phone."
Step-by-step explanation:
I took the test and got an A hope this helps.
Let f(x)=−8x+8-6x2 Then the expression hf(x+h)−f(x) can be written in the form Ah+Bx+C, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants.
Answer:
Hello,
Step-by-step explanation:
[tex]f(x)=-6x^2-8x+8\\\\f(x+h)=-6(x+h)^2-8(x+h)+8-(-6x^2-8x+8)\\=-12xh-6h^2-8h\\=h(-6h-12x-8)\\\\A=-6\\B=-12\\C=-8\\[/tex]
can someone help me in 5 and 6?
Answer:
5. b = 3 m = 2
6. b = 5 m = 1/2
Step-by-step explanation:
Remember that the y-intercept is the y value when x = 0Remember slope formula (attached). You can pick any two points.5. Y-Intercept = 3
Slope = (13-3)/(5-0) = 10/5 = 2
6. Y-intercept 5
Slope = (6-5) / (2-0) = 1/2
To factory plants are making TV panels, yesterday plan a produce 9000 panels. 3% of the panels from plan an and 10%.to factory plants are making TV panels, yesterday plan a produce 9000 panels. 3% of the panels from plan a and 10% of the panels from Plant be were defective how many panels dead plant be produced if overall percentage of the defective panels from two plants what’s 7%?
The number of panels from plant B that were produced if the overall percentage of the defective panels from two planet were 7% is 9000 panels.
How to Solve Algebra Word Problems?
We are given;
Number of TV panels to be produced = 9000 panels
Percentage of panels from plan A that were defective = 3%
Percentage of panels from plan B that were defective = 10%
Let n represent the number of panels from plant B.
Thus, we can write the algebraic equation as:
0.1(9000) + 0.03(n) = 0.07(9000 + n)
900 + 0.03n = 540 + 0.07n
900 - 540 = 0.07n - 0.03n
0.04n = 360
n = 360/0.04
n = 9000 panels
The number of panels from plant B that were produced if the overall percentage of the defective panels from two planet were 7% is 9000 panels.
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Simplify it 2x-[y+{y-(x+2y)}]
3x
Step-by-step explanation:
2x-[y+{y-(x+2y)}]
2x-[y+y-x-2y]
2x-y-y+x+2y
2x-2y+x+2y
2x+x
= 3x
After spending0.6 of her money,Andina had RS 60 left . How much money had she first ?
Answer:
Step-by-step explanation:
If you use pre-tax dollars, then it lowers your taxable income now and most likely when you retire, your income will be lower, so you'll pay a lower tax rate then.
Answer: D
How can i solve this 47kg (5m/s^2)
Answer:
Is this the complete problem?
Step-by-step explanation:
write the equation of the line in slope-intercept from that passes through the given points. (3/8, 0)and (5/8, 1/2)
The equation of line slope-intercept from is obtained as y = 2x - 3/4.
What is defined as the slope-intercept from?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis in which a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx + c, in which m is the slope as well as c is the y-intercept.The slope of the line is calculated by the formula;
m = (y₂ - y₁)(x₂ - x₁)
The coordinates of points are-
Where, (x₁, y₁) = (3/8, 0), and
(x₂, y₂) = (5/8, 1/2)
Put the values in slope;
m = (1/2 - 0)/(5/8 - 3/8)
m = (1/2)/(2/8)
m = 2
Put the the values in the standard form of equation;
(y - y₁) = m(x -x₁)
(y - 0) = 2(x - 3/8)
Simplifying;
y = 2x - 3/4
Thus, the equation of line slope-intercept from is obtained as y = 2x - 3/4.
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2000mg = ____ g what is the answer
Could someone help me? I am confused and I am in need of some help. Please help me find the answer and graph it. Thank you to all answers!
Answer:
The wrong side of the number line is shaded.
[tex]5\leq x[/tex]
Step-by-step explanation:
[tex]5\leq x[/tex] in this equation, x is greater than or equal to 5. That means the number line should be going to the numbers that are greater than 5.
May I ask what type of graph you need?
the curve with equation y=ax^2+bx+c passes through (0,-1) and has a stationary point of (2,-9). find the values of a, b and c
Answer:
Step-by-step explanation:
[tex]F(x)=ax^{2} +bx+c[/tex]when we derivate the original general equationwe get[tex]F'(x)=2ax+x[/tex]For a stationary point we know that the gradient m which in this point is expressed by F'(x) is equal to 0 in the given x coordinate of the stationary point mathematically ⇒F'(2)=0When we plug in the x coordinate in our derived equation we have[tex]2a(2)+2=0\\4a+2=0\\4a=2\\\frac{4a}{4} =\frac{2}{4} \\a=\frac{1}{2}[/tex]Therefore we can plug in the value of a we have got in the original equation.[tex]F(x)=\frac{1}{2} x^{2} +bx+c\\[/tex]We have two unknowns in the equation with two points in the function we can use to get the unknowns b and cIn the F(0)=-1[tex]-1=\frac{1}{2} (0)^{2} +b(0)+c\\c=0[/tex]But if we are to check carefully we know that c is the y-intercept wherein x=0 and we already had the point so there was no point of calculating it.
To get the value of b now substitute/plug in the other point (2,-9) in the equation[tex]F(x)=\frac{1}{2} x^{2} +bx\\c=0 \\F(2)=-9\\-9=\frac{1}{2}(2)^{2} +b(2)\\ -9=2+2b\\-9-2=2b\\-11=2b\\b=\frac{-11}{2}[/tex]How do i divid 8.118 by 0.615
Answer: 8.118 / 0.615 = 13.2
Which expressions are equivalent to One-third + 8 d + StartFraction 5 Over 7 EndFraction? Check all that apply. 1 + 3 + 8 d + 5 + 7 8 d + one-third + StartFraction 5 Over 7 EndFraction StartFraction 1 Over 7 EndFraction + 8 d + StartFraction 5 Over 3 EndFraction One-third + StartFraction 5 Over 7 EndFraction + 8 d 3 + 8 d + 7 8 d + one-third + StartFraction 7 Over 5 EndFraction StartFraction 5 Over 7 EndFraction + one-third + 8 d Mark this and return
The equivalent expressions of One-third + 8 d + StartFraction 5 Over 7 EndFraction are option B,D and G.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the given expression is :
One-third + 8 d + StartFraction 5 Over 7 EndFraction
and, the expression equivalent to this are :
1) 8 d + one-third + StartFraction 5 Over 7 EndFraction
2) One-third + StartFraction 5 Over 7 EndFraction + 8 d
3) StartFraction 5 Over 7 EndFraction + one-third + 8 d
Therefore, the equivalent expressions are option B,D and G.
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-. A large oil painting is 4 feet longer than its height. There is a wooden frame around the painting
that is 12 inches wide. The area of the picture and frame together is 165 ft². Find the dimensions
of the painting. (Hint: Draw a diagram)
The height of the painting = x = 9.355 feet
The length of the painting = (x + 4) = (9.355 + 4) = 13.355 feet
Given,
The height of the painting = x feet
The length of the painting = (x + 4) feet
The width of the wooden frame = 12 inches = 1 foot
The area of the picture and frame together = 165 feet²
We have to find the dimensions of the painting:
Area of wooden frame:
2(x + 6) + x = 2x + 12 + x = 3x + 12 feet²
Area of painting:
(x + 4) x = x² + 4x
Area of picture and frame together = Area of wooden frame + Area of painting
165 = 3x + 12 + x² + 4x
165 = 7x + 12 + x²
x² + 7x + 12 -165 = 0
x² + 7x - 153 = 0
By using Quadratic equation find x.
[tex]\frac{-b(+-)\sqrt{b^{2} -4ac} }{2a}[/tex]
= [tex]\frac{-7(+-)\sqrt{7^{2} -4(-153)} }{2}[/tex] = [tex]\frac{-7(+-)\sqrt{49+612} }{2}[/tex] = [tex]\frac{-7(+-)\sqrt{661} }{2}[/tex] = [tex]\frac{-7(+-)25.71}{2}[/tex]
Now,
[tex]\frac{-7+25.71}{2}[/tex] = [tex]\frac{18.71}{2}[/tex] = 9.355
Next,
[tex]\frac{-7-25.71}{2}[/tex] = [tex]\frac{-32.71}{2}[/tex] = -16.355
Dimensions should never be negative value. So, take x as 9.355.
Therefore,
The height of the painting = x = 9.355 feet
The length of the painting = (x + 4) = (9.355 + 4) = 13.355 feet
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Is 3/4 ÷ 1/2 the same as 1/2 ÷ 3/4?
Answer:
I believe it is false
Step-by-step explanation:
You can buy a property today for $3.7 million and sell it in 6 years for $4.7 million. (You earn no rental income on the property.) a. If the interest rate is 6%, what is the present value of the sales price? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. b. Is the property investment attractive to you? c-1. What is the present value of the future cash flows if you also could earn $270,000 per-year rent on the property? The rent is paid at the end of each year. Note: Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. c-2. Is the property investment attractive to you now?
Based on the selling price of the property in 6 years, the present value of the selling price is $3,313,315.
This amount is NOT attractive.
Based on the annual cash flows from the property, the present value of the cash flows is $4,640,991.40.
The property will then be attractive
What is the present value?The present value of the selling price can be found as:
= Selling price / (1 + rate) ^ number of years
= 4,700,000 / (1 + 6%)⁶
= $3,313,315
This amount is less than the buying price of the property today so the property is not attractive as it would result in a present value loss.
The present value of the cashflows will be the present value of an annuity because the rent is constant:
= Rent value x Present value interest factor of an annuity, 6 years, 6%
= 270,000 x 4.91732
= $1,327,676.40
The present value of the property then becomes:
= 1,327,676.40 + 3,313,315
= $4,640,991.40
The property then becomes very attractive because the present value gives a gain over the selling price of $3.7 million.
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Which of the following is equivalent to 6x − 5y = 12?
Answer:
the answer your looking for is B
For what value of k will the three points (1,8), (2,11), and (3,k) be on the same line?
The value of k for which the three points (1,8), (2,11), and (3,k) be on the same line will be on the same line is 14.
What is a slope ?The slope is the rate of change.It can also be defined as the rise over run.
According to the given question for what value of k will the three points (1,8), (2,11), and (3,k) be on the same line.
If three three points are on the same line they are co-linear and the slope of the points (1,8), (2,11) and (2,11), (3,k) will be same.
∴ (11-8)/(2-1) = (k-11)/(3/2)
11-8 = k - 11
k = 11 + 11 - 8
k = 22 - 8
k = 14.
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Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.
a) The degree of the polynomial function is 4
b) The positive real zeros does the function have are 3
a. The degree of the polynomial is equal to the sum of the real and complex zeros. There are four total zeros in the sum (1 negative real) + 3 positive real/complex). The polynomial has a degree of 4.
The solution to part b and the end-behavior, which tends to - for |x|, both support the even degree.
b. The intermediate value theorem informs you that, given the numbers in the table, there will be zeros in the intervals (0, 1), (1, 2), and (2, 3). Within certain time periods, the function's sign changes. Thus, there are three genuine positive zeros.
By examining the table of function values, Stanley is unable to infer anything about Descartes' rule of signs.
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Complete question -Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.
X , f(x)
-2, -105
-1, 0
0, 5
1, -2
2, 3
3, -20
4, -175
a. What is the degree of the polynomial function? How can you tell?
b. How many positive real zeros does the function have? How can you tell?
what is unique about the plants that grow in the Mediterranean brush?
Step-by-step explanation:
The Mediterranean vegetation is dominated by evergreen shrubs and sclerophyllous trees adapted to the distinctive climatic regime of summer drought and cool moist winters with only sporadic frost.
time that is 1000 times greater than one second
The word kilosecond is used to describe a time unit that is 1000 times greater than one second.
How to define a unit time by using SI units and preffixes
In this problem we find a time unit that combines a standard SI unit and a preffix that describes a scale. In other words, we must look up for a derived unit from a fundamental unit and a preffix.
According to the SI, second is the fundamental unit of time and the Greek preffix kilo- is used to a describe thousand times a given unit. Therefore, the word kilosecond is used to describe a time unit that is 1000 times greater than one second.
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There was a sample of 450 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between y and t.
The exponential function showing the relationship between y and t is given by [tex]y=450(0.906)^t[/tex]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the mass of the sample of radioactive substance after t years, hence:
[tex]y = 450(1 - 0.094)^t\\\\y=450(0.906)^t[/tex]
The exponential function showing the relationship between y and t is given by [tex]y=450(0.906)^t[/tex]
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The graph of this system of equations is used to solve 4x^ 2 -3x+6=2x^ 4 -9x^ 3 +2x*
The solution of given system of equations are x = -1.146 and x = 4.833
In this question, we have been given a system of equations.
4x^ 2 -3x+6=2x^ 4 -9x^ 3 +2x
We can write it as:
y = 4x² - 3x + 6
y = 2x^4 - 9x³ + 2x
We need to find the solution of given system of equations.
Consider the following graph of given system of equations as shown below.
In graph both the equations intersect at two points (-1.146, 14.687) and (4.833, 84.945)
Point of intersection gives the solution of the equations.
x-coordinate of the intersection of graph gives the solution because function depends on x.
Therefore, the solution of given system of equations are x = -1.146 and x = 4.833
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HELP ASAPPP PLEASEEEEE
Answer:
Step-by-step explanation:
x/2 + y/3=1. -. 1)
x/3 + y/2=1. - 2)
NEED HELP ASAP!!! will give brian list!
Answer:
a. 28/143
b. 40/143
Step-by-step explanation:
For both parts, we assume that the teas are selected without replacement. So we start with 13 teas. After one is selected, we have 12 teas left, and then after one more is selected, we have 11 teas left.
a. If all three are sweet:
[tex] \frac{8}{13} \times \frac{7}{12} \times \frac{6}{11} = \frac{28}{143} [/tex]
b. If exactly one is sweet:
First one sweet, next two unsweet:
[tex] \frac{8}{13} \times \frac{5}{12} \times \frac{4}{11} = \frac{40}{429} [/tex]
First one unsweet, second one sweet,
third one unsweet:
[tex] \ \frac{5}{13} \times \frac{8}{12} \times \frac{4}{11} = \frac{40}{429} [/tex]
First two unsweet, third one sweet:
[tex] \frac{5}{13} \times \frac{4}{12} \times \frac{8}{11} = \frac{40}{429} [/tex]
Adding these probabilities, we have
[tex] \frac{120}{429} = \frac{40}{143} [/tex]
