Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:
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
What is the double-declining-balance method?The double-declining-balance method is a depreciation method that allocates more cost to the earlier years of the asset's life.
The double-declining-balance method uses twice the straight-line rate and is computed as the product of 100/estimated useful life multiplied by 2.
The double rate is applied at the end of the year's balance for each year's depreciation expense.
The difference between the previous year's ending balance and the residual value is taken as the depreciation expense for the last year.
Auto = $30,000
Estimated life = 5 years
Residual value = $800
Depreciable amount = $29,200 ($30,000 - $800)
Straight-line depreciation rate = 20% (100/5)
Double-declining depreciation rate = 40% (20% x 2)
Depreciation Expense:1st year = $12,000 ($30,000 x 40%)
2nd year = $7,200 ($18,000 x 40%)
3rd year = $4,320 ($10,800 x 40%)
4th year = $2,592 ($6,480 x 40%)
5th year = $3,088 ($3,888 - $800)
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 $3,088 $29,200 $800
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How many times greater is 5.96 × 10^4 then 2.98 × 10^3?
Answer: 2.5>9.5
Step-by-step explanation: maybe we should both pay attention to math
If FG = 10x − 10, GH = x + 4, and FH = 16, what is FG?
If FG = 10x − 10, GH = x + 4, and FH = 16, FG is 10
How to determine FGinformation given in the question include
FG = 10x − 10
GH = x + 4
FH = 16
The problem is solved using substitution. this involves replacement of a variable with another that are same.
An instance of this a line FH having points FG and GH
FH contains FG and GH, hence adding both FG and GH gives FH
FH = FG + GH
plugging in the values
16 = 10x - 10 + x + 4
collecting like terms
16 = 11x - 6
16 + 6 = 11x
22 = 11x
rearranging the equation
11x = 22
x = 2
FG = 10x − 10
substituting the value of x
FG = 10 * 2 − 10
FG = 20 - 10
FG = 10
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The quadratic equation used to model the situation is h(t) = -16t2 + 150t + 4. Graph this equation using the graphing tool. Adjust the axis labels to accurately reflect the variables, and adjust the window to display the entire graph in the first quadrant.
The graph of the coordinate points (4, 348), (75/16, 5689/16), (6, 328) is given below.
The given quadratic equation is h(t) = -16t² + 150t + 4.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The graph of a quadratic equation is as follows:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: (75/16,5689/16)
Focus: (75/16,22755/64)
Axis of Symmetry: x=75/16
Directrix: y=22757/64
Plot the points (4, 348), (75/16, 5689/16), (6, 328) on graph
Therefore, the graph of the coordinate points (4, 348), (75/16, 5689/16), (6, 328) is given below.
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2. Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until
she is finished. Write and solve a linear equation to Aind the total number of pages written at 5
months.
Answer:
y = 12x + 35
95 pages
Step-by-step explanation:
Let y represent the total number of pages
Let x represent the total number of months
x = 5 (months)
so..
y = 12(5) + 35
y = 60 + 35
y = 95
Given loga(m) = 10 and loga(n) = 20, find loga(mn2). (Enter an exact number.)
Answer:
log(mn^2) = 50
Step-by-step explanation:
assuming base a for the logs
log(mn^2) = log m + 2log n
Which tool helps you record your transactions?
A.
check leaf
B.
checking account
C.
check register
PLEASE HELP!!
F(n)=3n-4
find term 3
The third term of F(n)=3n-4 is 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
F(n)=3n-4
F of n equal to three times of n minus four.
We need to find the third term.
To find third term we need to plug 3 in place of n.
F(3)=3(3)-4
Three times three minus four
F(3)=9-4
Nine minus four gives 5
F(3)=5
Hence, the third term of F(n)=3n-4 is 5.
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Solve for value of T
The value of t using straight line angle is 24°.
What is straight line angle ?
A straight angle in geometry is one that has a length of 180 degrees. Because it seems to be a straight line, it is known as a straight angle. In other words, it is an angle whose sides extend in the same straight line in directions opposite to the vertex.
In mathematics, a straight angle is defined as an angle with a degree value of 180. It looks to be a straight line, hence the name "straight." In essence, two rays linked end to end create an angle according to the mathematical concept of angles. As a result, the two rays of the 180-degree angle are subtended in the direction of their endpoints, which are in the opposite direction.
Here we know that sum of angle in straight line at any point is 180° .
Then,
=> (4t-7)°+83°=180°
=> 4t-7+83 = 180
=> 4t+76 = 180
=> 4t = 180-76 = 104
=> t = 104/4 = 26°
Hence the value of t=24°
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Select the correct answer. Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.
The statement that accurately describes the difference between short-term and long-term capital gains in terms of taxes is A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.
What is a capital gains tax?A capital gains tax is a tax levied on profits made from the sale of a non-inventory asset. Capital gains from the sale of stocks, bonds, precious metals, real estate, and property are the most common.
Short-term capital gains are profits made from selling assets held for a year or less. Long-term capital gains, on the other hand, are gains from assets held for more than a year.
In conclusion, based on the information illustrated, the correct option is A.
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Differentiate the function with respect to x.
The differentiation of the given function is 12[tex]x^3[/tex](5[tex]x^2[/tex] +2).
In the given question we have to differentiate the given function with respect to x.
The given function is f(x) = [tex]2x^4(5x^2+3)[/tex]
Before differentiating the function we first simplify the given expression.
To simplify the expression we multiply the 2x^4 to each term under the bracket.
Now the function;
f(x) = [tex]2x^4\cdot5x^2+3\cdot2x^4[/tex]
As we know that if the base is same en power get added.
f(x) = [tex]10x^{4+2}+6x^4[/tex]
f(x) = [tex]10x^{6}+6x^4[/tex]
Now differentiating the function with respect to x.
f'(x) = d/dx([tex]10x^{6}+6x^4[/tex])
f'(x) = 10d/dx([tex]x^6[/tex]) + 6d/dx([tex]x^4[/tex])
As we know that d/dx of x^n =nx^(n-1). So
f'(x) = 10∙6 [tex]x^5[/tex] + 6∙4 [tex]x^3[/tex]
f'(x) = 60[tex]x^5[/tex]+24[tex]x^3[/tex]
Now taking 12x^3 common
f'(x) = 12[tex]x^3[/tex](5[tex]x^2[/tex] +2)
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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
The final solution of the inequality –2(5 – 4x) < 6x – 4 is x < 3.
How to solve inequality?Inequalities are expressions that have the <, >, ≤ and ≥ signs.
Therefore, let's solve the given inequality as follows:
–2(5 – 4x) < 6x – 4
open the brackets on the left side
–2(5 – 4x) < 6x – 4
-10 + 8x < 6x - 4
add 10 to both sides of the inequality
-10 + 8x < 6x - 4
-10 + 10 + 8x < 6x - 4 + 10
8x < 6x + 6
subtract 6x from both sides of the inequality
8x < 6x + 6
8x - 6x < 6x - 6x + 6
2x < 6
divide both sides of the inequality by 2
2x < 6
2x / 2 < 6 / 2
x < 3
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
Answer:
15h >= 200
>= means greater than or equal to. Just but a horizontal line underneath the >
Choose the figure that models 4 divided by 4/3
The required solution to the given expression is 3 which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 4 ÷ 4/3
When considering multiplying the fractions together, After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 12/4 However, if you simplify it by 4, your final answer will be 3.
Thus, the required solution to the given expression is 3.
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Ms. Morgan is a science teacher. She found that 30% of her 120 students are athletes. Mr. Gregory is a math teacher. He found that 27, or 15%, of his student are athletes. Complete parts a and b below.
Of the part, the whole, and the percent, an information which is still unknown to Ms. Morgan is the number of non-athletes and it is equal to 84 students.
Of the part, the whole, and the percent, an information which is still unknown to Mr. Gregory is the total number of students and it is equal to 180 students.
How to determine the unknown information?Since the Ms. Morgan found that 30% of her 120 students are athletes, the known and unknown values include the following:
Known value (whole) = 120 students.
Known value (percent) = 30%
Unknown value (part) = ?
Next, we would determine the unknown value as follows:
Number of athletes = 30/100 × 120
Number of athletes = 30 × 1.2
Number of athletes = 36 students.
Unknown value (non-athletes) = 120 students - 36 students
Unknown value (non-athletes) = 84 students.
Since Mr. Gregory found that 27, or 15%, of his student are athletes, the known and unknown values include the following:
Known value (part) = 27 students.
Known value (percent) = 15%
Unknown value (whole) = ?
For the unknown value, we have:
Let the variable T represent the total number of students.
15/100 × T = 27
0.15T = 27
Total number of students, T = 27/0.15
Total number of students, T = 180 students.
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Complete Question:
Ms. Morgan is a science teacher. She found that 30% of her 120 students are athletes. Mr. Gregory is a math teacher. He found that 27, or 15%, of his student are athletes. Complete parts a and b below.
a. Of the part, the whole, and the percent, which information is still unknown to Ms. Morgan? Find this unknown value.
b. Of the part, the whole, and the percent, which information is still unknown to Mr. Gregory? Find this unknown value.
pls help ill give brainliest
Answer:
b= -2
Step-by-step explanation:
This is written in the y=mx+B form. This means that x is our slope, and -2 is our y-intercept (b). This meakes b= -2
-Hope this helped
Answer: x=6.
Step-by-step explanation: First go to the Algebra Calculator.
Differentiate the function with respect to x.
Using the Quotient Rule, the differentiate the function with respect to x is [tex]\frac{4x^3}{9x^8+24x^4+16}[/tex] .
In the given question,
We have to differentiate the given function with respect to x.
The given function is [tex]y=\frac{x^4+1}{3x^4+4}[/tex]
We have differentiate with respect to x.
The given function is in fraction format. So solving the given expression we use Quotient Rule
According to Quotient Rule
"A method for recognizing issues where one function is divided by another is the quotient rule."
The formula of Quotient Rule is
[tex]\frac{d}{dx}[\frac{f(x)}{g(x)}]=\frac{g(x)f'(x)-g'(x)f(x)}{(g(x))^2}[/tex]....................(1)
As we see in our function then f(x) = x[tex]^4+[/tex]1 and g(x) = 3x[tex]^4+[/tex]4
Before solving the function we find the value of f'(x), g'(x) and (g(x))[tex]^2.[/tex]
Now solving the f(x) for f'(x) with respect to x.
f(x) = x[tex]^4+[/tex]1
[tex]\frac{d}{dx}f(x)=\frac{d}{dx}(x^4+1)[/tex]
[tex]f'(x)=\frac{d}{dx}x^4+\frac{d}{dx}1[/tex]
We know that the differentiation of [tex]x^n=nx^{n-1}[/tex] and differentiation of constant value is zero.
So [tex]f'(x)=4x^{(4-1)}+0[/tex]
[tex]f'(x)=4x^3[/tex]
Now solving the g(x) for g'(x) with respect to x.
g(x) = 3x[tex]^4+[/tex]4
[tex]\frac{d}{dx}g(x)=\frac{d}{dx}(3x^4+4)[/tex]
[tex]g'(x)=3\frac{d}{dx}x^4+\frac{d}{dx}4[/tex]
We know that the differentiation of [tex]x^n=nx^{n-1}[/tex] and differentiation of constant value is zero.
[tex]g'(x)=3(4x^{(4-1)})+0[/tex]
[tex]g'(x)=3(4x^{3})[/tex]
[tex]g'(x)=12x^{3}[/tex]
Now finding the value of (g(x))[tex]^2.[/tex]
g(x) = 3x[tex]^4+[/tex]4
[tex](g(x))^4=(3x^4+4)^2[/tex]
Now using the formula of [tex](a+b)^2=a^2+2ab+b^2[/tex].
Now solving
[tex](g(x))^4=(3x^4)^2+2\times(3x^4)\times4+(4)^2[/tex]
Simplifying
[tex](g(x))^4=9x^8+24x^4+16[/tex]
Now putting the value of f'(x), g'(x) and (g(x))[tex]^2.[/tex] in the equation (1)
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{(3x^4+4)(4x^3)-(12x^3)(x^4+1)}{9x^8+24x^4+16}[/tex]
Simplifying
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{(3x^4(4x^3)+4(4x^3))-((12x^3)x^4+1(12x^3))}{9x^8+24x^4+16}[/tex]
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{(12x^{(4+3)}+16x^3)-(12x^{(3+4)}+12x^3)}{9x^8+24x^4+16}[/tex]
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{(12x^{7}+16x^3)-(12x^{7}+12x^3)}{9x^8+24x^4+16}[/tex]
Now solving the bracket
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{12x^{7}+16x^3-12x^{7}-12x^3}{9x^8+24x^4+16}[/tex]
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{16x^3-12x^3}{9x^8+24x^4+16}[/tex]
[tex]\frac{d}{dx}[\frac{x^4+1}{3x^4+4}]=\frac{4x^3}{9x^8+24x^4+16}[/tex]
Hence, the differentiate the function with respect to x is [tex]\frac{4x^3}{9x^8+24x^4+16}[/tex] .
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5y=15x+10 but in standard form?
Answer:
y=3x+2
Step-by-step explanation:
Divide by 5 on all sides.
3x-y=-2
Step-by-step explanation:
A number x is such that dividing the number by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10. Write down and solve an equation satisfied by x. Enter your answer in the box below as a number, rounded to one decimal place if necessary.
Answer:
x = 2
Step-by-step explanation:
You want x such that dividing by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10.
Setup(x/5) +2 . . . . the value after dividing by 5 and adding 2
(x +22)/10 . . . . the value after adding 22, then dividing by 10
These two outcomes are the same:
x/5 +2 = (x +22)/10
SolutionMultiplying the equation by 10 gives ...
2x +20 = x +22
x = 2 . . . . . . . . . . . . subtract x+20
The number is x = 2.
__
Additional comment
The outcome in each case is 2.4.
PLEASE answer ill give BRAINLIEST
1.What is the measure of CBA?
2.What is the measure of CAB?
3.When these 3 interior angles of a triangle are added together, what does it equal.
The measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
According to the question,
We have the following information:
Angle CAB = 2x
Angle CBA = 3x-20
And the given triangle is a right-angled triangle which means that one of its angle is 90°.
Now, we know that the sum of three angles of a triangle is 180°.
So, we have the following expression:
2x+3x-20+90 = 180°
5x+70 = 180
5x = 180-70
5x = 110
x = 110/5
x = 22°
Now, putting the value of x in given angles:
Angle CAB = 2x
Angle CAB = 2*22
Angle CAB = 44°
Angle CBA = 3x-20
Angle CBA = 3*22-20
Angle CBA = 66-20
Angle CBA = 46°
Hence, the measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
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write y= "-18x^2+252x-881" in vertex form
y = -18(x-7)² + 1 is the vertex form of the given equation.
What is the vertex form of the equation?y = a (x − h) 2 + k, y is the y -coordinate, x is the x -coordinate, and a is the constant that tells you whether the parabola is facing up (+a) or down (-a).
Given that y = -18x² + 252x - 881, where a = -18, b = 252 and c = -881
h = -b/2a
h = -252/2*(-18) = 7
k = ah² + bh + c = -18*49 + 252*7 - 881 = 1
Therefore, putting the values in y = a (x − h) 2 we get,
y = -18(x-7)² + 1
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Completely factor the expression -4/5yn6 - 5/6y4n8
Answer:
See below
Step-by-step explanation:
You can pull one y and 6 n's out to start
then 4/5 = 24/30 and 5 / 6 = 25/30
and you can factor out a -1
- y n^6 /30 ( 24 + 25 y^3n^2 )
WILL MARK BRAINLIEST 30 POINTS
Each night Liz spends at least 45 minutes and no more than 120 minutes on her phone.
Choose which double inequality describes how long Liz spends on her phone each night.
"n" will be used as your variable.
WILL MARK BRAINLIEST
The double inequality describing the length of time (in minutes) that Liz spends on her phone each night is 45 ≤ f(x) ≤ 120.
What is double inequality?Double inequality is a mathematical expression that has two inequalities.
Double inequality is also known as a compound inequality. because there is more than one inequality in the expression
The form of double inequality is always written as: a ≤ f (x) ≤ b.
This double inequality gives the value of x as more than a and less than b.
The least number of minutes spent by Liz on her phone = 45 minutes
The maximum number of minutes spent by Liz on her phone = 120 minutes
Inequalities:Inequality 1: 45 ≤ f(x)
Inequality 2: f(x) ≤ 120
Thus, this double inequality 45 ≤ f(x) ≤ 120 shows Liz's time on the phone every night.
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Find the Surface Area for the following:
(Use 3.14 for. Do not round and do not type your units.)
12 in.
5 in.
The surface area of the cone is 282.6 [tex]in^2[/tex].
What is surface area of cone?
The region that a cone's surface occupies in three dimensions is known as the surface area of a cone. The whole area a cone's surface covers is known as the cone's surface area. The overall surface area will include the cone's lateral and base surfaces. A three-dimensional solid construction with a circular base is referred to as a cone. A cone can be thought of as a collection of irregularly shaped circular discs that have been stacked on top of one another while maintaining a constant ratio between the radii of the adjacent discs. It is the total of the cone's lateral area and base area.
Here the given ,
=> Height h= 12in
=> Radius r = 5 in
Using surface area of cone formula,
=> Surface area SA = [tex]\pi[/tex]r(r+ [tex]\sqrt{r^2+h^2}[/tex]) square unit.
=> surface area SA = 3.14*5(5+[tex]\sqrt{12^2+5^2}[/tex])
=> surface area SA = 15.7(5+[tex]\sqrt{144+25}[/tex])=15.7(5+13)
=> surface area SA = 15.7*18=282.6 [tex]in^2[/tex]
Therefore surface area of the cone 282.6 [tex]in^2[/tex].
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Given f(x)=3x^2+kx+4 and the remainder when f(x) is divided by x-4 is 68 then What is the value of k?
Answer:
k = 4-----------------------------
GivenFunction f(x) = 3x² + kx + 4,Remainder of f(x) / (x - 4) is 68.According to the remainder theorem, if we subtract 68 from the given trinomial it should be divisible by x - 4. In other words, one of zero's will be x = 4.
f(x) = 3x² + kx + 4 - 68 = 3x² + kx - 64 = 0When x = 43*4² + k*4 - 64 = 048 + 4k - 64 = 04k - 16 = 04k = 16k = 49.
A.O
B.
1 12
Genevieve's
Function
Gary and Genevieve both plot lines on a coordinate grid. Gary plots the function y=2x-5, and Genevieve plots the function y=-3x + 4. Which of these represents their lines as well as the solution of the system?
The coordinate plane that represents both lines as well as the solution of the system is shown in the diagram below.
What is the Solution of a System of Equations?The solution to a system of equations is the value of x and y that will make the equations of the system true if they are plugged in into either of the two equations in the system.
Thus, when the equations or functions are plotted as a line on a coordinate grid, the system intersect at a point The coordinates of this point is the solution of the system of equations.
The function for Gary, y = 2x - 5, would be a line that has a slope of 2 and cuts the y-axis at -5, while that of Genevieve y = -3x + 4 will have a slope of -3, and will intercepts the y-axis at 4.
The red line in the coordinate grid in the image below is Gary's function y = 2x - 5, while the blue line is that of Genevieve y = -3x + 4. They bot intersect at (1.8, -1.4).
The solution is: (1.8, -1.4).
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In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 5)3 + 9. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.
The turning point is at x = 5, and this means that the substance changes from liquid to gas when x = 5.
How to find the turning point?
Here we have the temperature function:
T(x) = (x - 5)^3 + 9
The turning point is the point where the curvature of the function changes, by differentiating the function two times and finding the zero, we can get the turning points.
T'(x) = 3*(x - 5)^2
T''(x) = 3*2*(x - 5) = 6*(x - 5)
This is zero when x = 5, then:
T''(5) = 6*(5 - 5) = 0
So the turning point is there.
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Janelys is going to invest in an account paying an interest rate of 5.9% compounded daily. How much would Janelys need to invest, to the nearest ten dollars, for the value of the account to reach $1,890 in 12 years?
The amount that should be invested to the nearest ten dollars is $930.
How much should be invested today?When an amount is compounded daily, it means that the investment increases in value everyday over the investment period.
In order to determine how much should be invested today, the present value of $1890 has to be determined.
The formula for determining the present value is:
PV = FV ÷ (1 + r)^nm
Where:
FV = future value of the investment r = daily interest rate = 5.9% / 365 = 0.01616%n = number of years m = number of compoundingPV = 1890 ÷ (1.00016)^(12 x 365) = 930
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What is the vertex of this problem?
The vertex of the parabola is (-1,-1)
What is vertex of parabola?
The vertex of a parabola is the highest point or the lowest point, also known as the maximum or minimum of the parabola. The vertex is the point of intersection of the parabola and its line of symmetry.
The vertex is the maximum or minimum point of a parabola.
The vertex is the point where the parabola changes direction.
Here, the point where the parabola changes it direction is (-1,-1).
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5. If a marble is randomly chosen from a bag containing exactly 2 red, 2 yellow, 4 green,
3 white, and 1 blue marble, what is the probability that the marble is NOT yellow?
The probability that the marble picked is not yellow is:
10/12
Given:
we have a bag containing exactly 2 red, 2 yellow, 4 green,
3 white, and 1 blue marble.
we are asked to determine the probability that the marble is not yellow = ?
Favorable outcomes for yellow marbles = 2
Total number of outcomes = 12
Probability, P(E) = Number of outcomes favorable to E/Number of all possible outcomes of the experiment.
P(picking an yellow marble) = 2/12
therefore,
P(not picking a yellow marble) = 1 - 2/12
= 12-2/12
= 10/12
Hence the probability that the marble is not yellow is 10/12
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a body of mass 10.5 kg fell to the ground . calculate the weight of the body.
Answer:
103 N
Step-by-step explanation:
we use the equation: w = mg
where m is mass, W is weight and g is gravitational field strength
w = ?
m= 10.5 kg
g = 9.81 ms‐² (for earth)
so,
w = 10.5 × 9.81
w = 103.005
w ≈ 103 Newtons