It would take 14 hours for all of them to paint the three houses.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time it would take them working together, hence:
(1/24 + 1/26 + 1/20 + 1/21 + 1/27)t = 3
t = 14 hours
It would take 14 hours for all of them to paint the three houses.
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) Consider the following probability density function of the random variable X. f(x) = k(2x + 3x2 ), 0 ≤ x ≤ 2. (i) Determine the value of the constant k.
I assume [tex]f(x)=0[/tex] otherwise. If [tex]f(x)[/tex] is indeed a proper PDF, then its integral over the support of [tex]X[/tex] is 1.
[tex]\displaystyle \int_{-\infty}^\infty f(x) \, dx = k \int_0^2 (2x + 3x^2) \, dx = 1[/tex]
Compute the integral.
[tex]\displaystyle \int_0^2 (2x + 3x^2) \, dx = (x^2 + x^3)\bigg|_{x=0}^{x=2} = (2^2 + 2^3) - (0^2 + 0^3) = 12[/tex]
Then
[tex]12k = 1 \implies \boxed{k=\dfrac1{12}}[/tex]
How do i find the slope of these points? (−4, 3) and (2, 9)
Answer:
Divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Step-by-step explanation:
Answer:
The value of the slope b/n these two pts. will be 1.
Step-by-step explanation:
Greetings !
For finding slope from two points of a line (x₁, y₁) and (x₂, y₂), we use the formula (y₂ - y₁) / (x₂ - x₁).
Thus, m=(y₂ - y₁) / (x₂ - x₁)
m=(9-3)/(2-(-4))m=6/6m=1.60 POINTS PLEASE HELP NOW
The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).
How to find the pre-image of the triangle
In this problem we must use a transformation rule known as dilation, a kind of rigid transformation, to derive the preimage of the triangle, whose formula is:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Now we proceed to find the preimage of the triangle: O(x, y) = (0, 0), k = 2/3
Point A'
A'(x, y) = (0, 0) + (2/3) · [(6, 2) - (0, 0)]
A'(x, y) = (4, 4/3)
Point B'
B'(x, y) = (0, 0) + (2/3) · [(- 3, 0) - (0, 0)]
B'(x, y) = (- 2, 0)
Point C'
C'(x, y) = (0, 0) + (2/3) · [(1.5, 4.5) - (0, 0)]
C'(x, y) = (1, 3)
The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).
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Emma has money in two savings accounts. One rate is 6% and the other is 14%. If she has $950 more in the 14% account and the total interest is $342, how much is invested in each savings account?
$1045 was invested at the interest rate 6% whereas $1,995 was invested at 14%
How is interest computed?
Interest is determined as the amount invested multiplied by the interest rate.
Let Y be the amount invested at 6%
Interest=Y*6%
Interest=0.06Y
The amount invested at 14%, which is $950 more , is Y+950
Interest=(Y+950)*14%
Interest=0.14Y+133
Total interest =0.06Y+0.14Y+133
Note that total interest is 342
342=0.06Y+0.14Y+133
342=0.20Y+133
342-133=0.20Y
209=0.20Y
Y=209/0.20
Y=$1,045(amount invested at 6%)
Amount invested at 14%=$1,045+$950
Amount invested at 14%=$1,995
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Si: x;y∈ℜ y f={(2;8),(x;x+1),(2;x2−2x),(−2;9),(3;9),(y;y−1),(3;y+4)} es una función, calcúlese x y y, dando como respuesta la representación de la función.
La relación dada es una función si x = 4 y y = - 1. La representación de la función es f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}.
¿Que valores tienen dos variables reales tal que una relación dada es una función?
Las relaciones están formadas por dos conjuntos relacionados entre sí, un conjunto de entrada denominado dominio y uno de salida denominado rango. Una función es una relación cuyos elementos del dominio solo están asociados a un solo valor del rango.
Bajo estas consideraciones, tenemos que (2, 8) = (2, x² - 2 · x) y (3, 9) = (3, y + 4), cuyas ecuaciones algebraicas se resuelven a continuación:
x² - 2 · x = 8 (1)
y + 4 = 9 (2)
By (1):
x² - 2 · x - 8 = 0
(x - 4) · (x + 2) = 0
x = 4 ∨ x = - 2
By (2):
y = 5
Si sabemos que x = 4 y y = - 1, entonces la representación de la función es:
f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}
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Find the sum of the geometric series given a1 = 5, r = 3, n = 12.
The sum of the geometric series is 1328600
How to determine the sum?The given parameters are:
a1 = 5
r = 3
n = 12
The sum of the terms is:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
This gives
[tex]S_n = \frac{5 * (1 - 3^{12})}{1 - 3}[/tex]
Evaluate the difference
[tex]S_n = \frac{5 * (1 - 531441)}{-2}[/tex]
This gives
[tex]S_n = \frac{5 * - 531440}{-2}[/tex]
Evaluate
[tex]S_n = 1328600[/tex]
Hence, the sum of the geometric series is 1328600
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In a class there are 15 boys and 15 girls 5/6 of the children have brown hair if someone is chosen at random what is the probability that they will not have brown hair
Probability someone chosen at random will not have brown hair = 1/6
Probability of two variablesThe number of girls = 15
The number of boys = 15
The total number of children = 15 + 15 = 30
Probability that someone chosen at random will have a brown hair, P(Brown hair) = 5/6
P(Brown hair) + P(Not Brown hair) = 1
5/6 + P(Not brown hair) = 1
P(not brown hair) = 1 - 5/6
P(not brown hair) = 1/6
Therefore, if someone is chosen at random, probability that they will not have brown hair = 1/6
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Find possible zeroes
f(x)=3x^6+4x^3-2x^2+4
The possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are [tex]\mathbf{\pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]
How to determine the possible zeros?The function is given as:
f(x) = 3x^6 + 4x^3 -2x^2 + 4
The leading coefficient of the function is:
p = 3
The constant term is
q = 4
Take the factors of the above terms
p = 1 and 3
q = 1, 2 and 4
The possible zeros are then calculated as:
[tex]\mathbf{Zeros = \pm\frac{Factors\ of\ q}{Factors\ of\ p}}[/tex]
So, we have:
[tex]\mathbf{Zeros = \pm\frac{1,2,4}{1,3}}[/tex]
Expand
[tex]\mathbf{Zeros = \pm\frac{1,2,4}{1},\pm\frac{1,2,4}{3}}[/tex]
Solve
[tex]\mathbf{Zeros = \pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]
Hence, the possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are [tex]\mathbf{\pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]
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Write in standard form: x² - 10x + y² - 4y = -28
Answer:
(x - 5) ^2 + (y -2)^2 = 1
Step-by-step explanation:
This is for a circle.
We need to complete the square
(x^2 -10x ) + ( y^2 -4y ) = -28
(x^2 - 10x +25) + (y^2 - 4y 2y) = -28 + 25 + 4
(x-5)^2 + (y-2)^2 = 1
The center of this circle would be (5,2) with a radius of 1.
A restaurant hands out a scratch-off game ticket with prizes being worth
purchases at the restaurant. The back of the ticket lists the odds of winning
each dollar value: 0.4 for $10, 0.2 for $25, 0.01 for $30, and 0.004 for $75.
What are the odds that the ticket is worth at least $25?
Using the probability concept, the odds that the ticket is worth at least $25 are of 1:3.67.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering the probability, the odd is given by:
o = probability:(1 - probability)
From the given table, the probability that the ticket is worth at least $25 is:
p = 0.2 + 0.01 + 0.004 = 0.214.
Hence the odd is:
o = 0.214/(1 - 0.214) = 0.214/0.786 = 1:3.67.
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If x=y= 2z and x*y*z = 500, then x equals?
Answer:
x is equal to 5
Step-by-step explanation:
PLEASE HELP 80 POINTS!!!!!!
The sequence pattern for 3¹/₃, 3¹/₄, 3¹/₅, ...... is; f(n) = 3 + 1/(2 + n)
How to find the sequence pattern?We are given the sequence;
3¹/₃, 3¹/₄, 3¹/₅, ......
Now, we can see that;
First term is 3¹/₃.
However, for the second term, 1 has been added to the denominator.
Thus, we can suggest that the sequence pattern here is;
f(n) = 3 + 1/(2 + n)
where n is the nth term.
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Find the distance between points H(8, 2) and K(6, 10). Round your answer to the nearest tenth
Step-by-step explanation:
when you mark such points on a coordinate grid, and mark also the coordinate differences in x and y direction as soft lines, you notice that these coordinate difference lines and the direct connection between the 2 points create a right-angled triangle.
so, Pythagoras applies :
c² = a² + b²
with c being the Hypotenuse (the baseline opposite of the 90° angle, which is the direct connection between the 2 points). a and b are the legs (coordinate differences).
so,
distance² = (8 - 6)² + (2 - 10)² = 2² + (-8)² = 4 + 64 = 68
distance = sqrt(68) = 8.246211251... ≈ 8.2
Please answer the question below . Help is greatly appreciated!
Using proportions, it is found that 40 ml of water have to be added to make the ratio of oil to water of 1:3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The jar contains 100 ml of oil and water in the ratio 1:4, hence:
The amount of oil is: 1/5 x 100 = 20 ml.The amount of water is: 4/5 x 100 = 80 ml.Oil was added to make the ratio 1/2, hence:
[tex]\frac{20 + x}{100 + x} = \frac{1}[3}[/tex]
3(20 + x) = 100 + x
60 + 3x = 100 + x
x = 20.
Then there are 40 ml of oil and 80 ml of water, for a total of 120 ml. Now we want a ratio of 1:3, that is, 3/4 of the mixture being water, hence:
[tex]\frac{80 + x}{120 + x} = \frac{3}{4}[/tex]
4(80 + x) = 3(120 + x)
320 + 4x = 360 + 3x
x = 40
40 ml of water have to be added to make the ratio of oil to water of 1:3.
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Part A Your presentation should make a convincing argument that human activity is the major cause of climate change. Your presentation should answer some of these questions: What is climate? How is Earth’s climate changing? What are the natural and human factors that affect climate? How do scientists know that human activity is the major force behind climate change? What evidence do scientists have that climate is changing? Write down two additional questions you have about climate change that will help you make this argument in your presentation. 12pt
Climate is the long-term weather pattern that can be seen in an area over a period of years.
How to explain the climate?Earth’s climate changing as the Earth's atmosphere heats up, it collects, retains, and drops more water, thereby changing weather patterns and making wet areas wetter and dry areas drier.
The factors that affect climate includ deforestation, desertification, urbanization, etc.
Scientists know that recent climate change is largely caused by human activities from an understanding of basic physics by comparing observations with models, and then fingerprinting the detailed patterns of climate change caused by different human and natural influences
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How many proportional relationships are shown in the coordinate plane below/
Answer:
I wish I could I didnt do good with this in math
A two-digit locker combination is made up of non-zero digits and no digit is repeated in any combination. Event A = the first digit is 4 Event B = the second digit is odd If a combination is chosen at random with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?
A.5/8
B.4/81
C.1/18
D.5/72
Answer:
D. 5/72
Step-by-step explanation:
The non-zero digits are 1 through 9.
There are 9 different non-zero digits.
p(A) = 1/9
There are 5 odd digits.
p(B) = 5/8
p(A and B) = p(A) × p(B) = 1/9 × 5/8 = 5/72
I think the answer is
A: 1/18
What is the measure of angle A?
250
140
70
110
Using the angle of intersecting tangents theorem, the measure of angle A is: C. 70°
What is the Angle of Intersecting Tangents Theorem?Based on the angle of intersecting tangents theorem, measure of angle A = 1/2(the positive difference of the intercepted arcs).
Measure of one of the intercepted arcs = 250°
The second intercepted arc = 360 - 250 = 110°
Positive difference of the intercepted arcs = 250 - 110 = 140°
Measure of angle A = 1/2(140)
Measure of angle A = 70°
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Answer:
the answer is 70. hope this helps <3
Step-by-step explanation:
Nicole sold 15 tickets to the school play and Andrew sold 24 tickets. what is the ratio of the number of tickets Nicole sold to the number of tickets Andrew sold
Answer:
5:8
Step-by-step explanation:
Nichole sold 15 while Andrew sold 24, so the ratio is 15:24. Simplify the ratio by dividing both sides by 3, and we’ll get 5:8.
prove that: 1-sin^2x cos*2x/cos^2x = tan^2x + cos^2x
LHS = (1-sin² cos²)/(cos²)
= (sin² + cos² - sin² cos²)/(cos²)
= (sin/cos)² + 1 - sin²
= tan² + cos²
= RHS
the volume formula for a cylinder is v=nr^h. isolate for the variable r in this formula .
Answer:
[tex]r=\sqrt{\frac{V}{\pi h}}[/tex]
Step-by-step explanation:
[tex]V = \pi r^{2} h \\ \\ r^{2} =\frac{V}{\pi h} \\ \\ r=\sqrt{\frac{V}{\pi h}}[/tex]
find x and y
pls help
Answer:
Step-by-step explanation:
no idea tbh
x is 40 degrees
y is 40 degrees
Hope this helps!
Accounts Receivable has a balance of $645,000; Allowance for Doubtful Accounts has a credit balance of $6,000; and sales for the year total $2,900,000. Bad debt expense is estimated at 1/4 of 1% of sales.
1. The amount of the adjusting entry for Uncollectible Accounts is $1,250.
2. The adjusted balances of Accounts Receivable Allowance for Doubtful Accounts Bad Debt Expense are:
Accounts Receivable = $3,545,000
Allowance for Doubtful = $7,250
Accounts Bad Debt Expense = $1,250
3. The net realizable value of the accounts receivable is $3,537.750 ($3,545,000 - $7,250).
Data and Calculations:Accounts Receivable Allowance for Doubtful Accounts
Beginning balance $645,000 DR $6,000 CR
Sales 2,900,000
Bad Debt Estimate = $7,250 ($2,900,000 x 0.0025)
Ending balance $3,545,000 $7,250 CR
Bad Debts Expense = $1,250 ($7,250 - $6,000)
Thus, the net realizable value of the accounts receivable shows the amount that the company expects to recover from customers after allowing for doubtful accounts.
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Question Completion:1. Determine the amount of the adjusting entry for uncollectible accounts.
2. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expenses.
3. Determine the net realizable value of accounts receivable
Zaidah plans a raised flower bed 2 ft high by 15 ft wide by 24 ft long. The mulch, soll, and peat mixture used to fill the raised bed costs $12.75 per cubic yard. What is the total cost (in dollars) of the
Ingredients used to fill the raised garden?
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's get started ~
[tex]\qquad \sf \dashrightarrow \: volume = length \sdot width \sdot height[/tex]
[tex]\qquad \sf \dashrightarrow \: v = (24) \sdot(15) \sdot(2)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 720 \: \: ft {}^{3} [/tex]
now, we know :
[tex]\qquad \sf \dashrightarrow \: 1 \: \: yard {}^{3} = 27 \: \: ft {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 1 \: \: ft {}^{3} = \cfrac{1}{27} \: \: yard {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 720 \: \: ft {}^{3} = \cfrac{1}{27} \times 720 \: \: yard {}^{3} [/tex]
[tex]\qquad \sf \approx\: 26.67 \: \: yard {}^{3} [/tex]
now, total cost of ingredients used is :
[tex]\qquad \sf \dashrightarrow \: 26.67 \times 12.75[/tex]
[tex]\qquad \sf \dashrightarrow \: 340.04[/tex]
so, total cost is $ 340.04
find the slope of this line
Answer:
2
Step-by-step explanation:
Select two points that the red line goes through like (0,-10) and (2,-6). If I start at the bottom left of the red line, I can see that I am moving to the right and up. That means that the slope will be positive. As my x is increasing so is my y. Starting at point (0,-10) 2 space, but each space counts as 2, so I really move up 4. Then I check to see how much I moved right. It is only one space, but again, I am counting by 2s, so I really moved 2 units to the right.
The fraction would be 4/2 which just equals 2/1 or 2.
where is the center of the circle and the radius is how many units?
Answer:
8,9,5
Step-by-step explanation:
To support the tree a guy wire 8.1 m long is attached to the trunk and then secured in the ground find the height of the leafty part of the tree to the nearest tenth
The height of the leafy part will be 6m.
How to calculate the height?Other part of the question:
At the same time, a vertical pole 3m high vast s shadow 4m long.
Based on the information given, the height will be:
h/8 = 3/4
h = (3 × 8)/4
h = 6
Therefore, the height is 6m.
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Suppose that X is a random variable that has a binomial uncertainty distribution with parameters n = 10 and π = 0.4. Calculate the numerical value of the probability that X = 6. What are the numerical values of the mean and standard deviation of the uncertainty distribution?
The numerical values of the mean and standard deviation are 4 and 1.55, respectively
The numerical value of the probability that x = 6.The given parameters are:
n = 10
π = 0.4
The probability is then calculated as:
[tex]P(x) = ^nC_x * \pi^x *(1-\pi)^{n-x}[/tex]
So, we have:
[tex]P(6) = ^{10}C_6 * 0.4^6 *(1-0.4)^4[/tex]
Apply the combination formula
[tex]P(6) = \frac{10!}{6!4!} * 0.4^6 *0.6^4[/tex]
So, we have:
[tex]P(6) = 210 * 0.4^6 *0.6^4[/tex]
Evaluate
P(6) = 0.1115
Hence, the numerical value of the probability that x = 6 is 0.1115
The numerical values of the mean and standard deviationThe mean value is:
[tex]\bar x = n\pi[/tex]
This gives
[tex]\bar x = 10 * 0.4[/tex]
[tex]\bar x = 4[/tex]
The standard deviation value is:
[tex]\sigma = \sqrt{\bar x(1-\pi)[/tex]
This gives
[tex]\sigma = \sqrt{4(1-0.4)[/tex]
[tex]\sigma = 1.55[/tex]
Hence, the numerical values of the mean and standard deviation are 4 and 1.55, respectively
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define cultural identity in your own words
Cultural identity component of an individual which makes him identifiable with a given group. For example, British Asian is a cultural identity.
What is the Meaning of Cultural Identity?Cultural identity can be described as a component of an individual which makes him identifiable with a given group that share the same characteristics.
Examples of cultural identities may include the following:
ReligionEthnic backgroundTraditionNationalityFoodI can state that I am a British Asian. British Asian is my cultural identity.
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1376x13 please solve this equation and show work
The value of 1376 * 13 is 17888
How to solve the expression?The expression is given as:
1376 * 13
Express 1376 as 1300 + 76
(1300 + 76) * 13
Expand
1300 * 13 + 76 * 13
Evaluate the product
16900 + 988
Evaluate the sum
17888
Hence, the value of 1376 * 13 is 17888
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