6415 divided 32 estimate

Price of spoiled wheat=

\(\\ \sf\longmapsto 35000\times \dfrac{1}{7}\)

\(\\ \sf\longmapsto 5000\)

He sold good wheat at a gain of 10%

\(\\ \sf\longmapsto Gain=\dfrac{10}{100}\times 30000\)

\(\\ \sf\longmapsto Gain=3000\)

Now

\(\\ \sf\longmapsto Sold\:Price=30000+3000=\boxed{\bf{33000}}\)

\(\\ \sf\longmapsto Loss=\dfrac{25}{100}\times 5000\)

\(\\ \sf\longmapsto 1250\)

Now

\(\\ \sf\longmapsto Sold\: Price=5000-1250=\boxed{\bf{3750}}\)

Total SP:-33000+3750=36750

\(\\ \sf\longmapsto Gain\%=\dfrac{36750-35000}{35000}\times 100\)

\(\\ \sf\longmapsto Gain\%=\dfrac{1750}{350}\)

\(\\ \sf\longmapsto Gain\%=5\%\)

Answer:

3(y-2)=2(y-1)-3

or, 3y-6 =2y-2-3

or, 3y-6 =2y-5

or 3y-2y =6-5

or y=1

hence, the value of y is 1

MARK ME AS BRAINLIEST

Answer:

the answer is \(m=\frac{4}{3}\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).

Answer :

y = \(\frac{2}{5} ( x - 3)\)

Step-by-step explanation:

6 + 5y = 2x

or, 5y + 6 - 6 = 2x - 6

or, 5y = 2x - 6

or, 5/5 y = 2 ( x - 3) / 5

or, y = 2/5 ( x - 3)

therefore, y = \(\frac{2}{5} ( x - 3 )\)

Answer:

show me some answer choices I think I know what is is

Answer:

I believe you are right. Cause  "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.

Hope it helps :D

From 1976 until 1987, red M&Ms were removed from packets owing to a research associating the food dye used to color them to cancer.

Arithmetic is defined as working with numbers through addition, subtraction, multiplication, and division. Adding two and two to produce four is an example of arithmetic. Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. Arithmetic (derived from the Greek word arithmos, "number") relates to the fundamental components of number theory, arts of mensuration (measuring), and numerical computing (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

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The average speed for the whole journey is 20 km/h.

To find the average speed for the whole journey, we can use the formula:

Average Speed = Total Distance / Total Time

In this case, the total distance for the whole journey is 40 km (20 km each way), and we need to find the total time it took for the entire journey.

For the first leg of the journey, the motorist traveled 20 km at an average speed of 15 km/h.

Using the formula Time = Distance / Speed, we can calculate the time taken as 20 km / 15 km/h = 4/3 hours.

For the return journey, the motorist traveled the same distance of 20 km but at an average speed of 30 km/h.

Again, using the formula Time = Distance / Speed, we find that the time taken is 20 km / 30 km/h = 2/3 hours.

To find the total time for the whole journey, we add the times for each leg: 4/3 hours + 2/3 hours = 6/3 hours = 2 hours.

Finally, we can calculate the average speed for the whole journey by dividing the total distance of 40 km by the total time of 2 hours:

Average Speed = 40 km / 2 hours = 20 km/h.

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The solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3 and the solutions in part b hold for equation 4

There are three variables in the system

To solve the three variables, there must be at least three equations in the system of equations

Hence, the variables cannot be solved because the number of equations is not enough

We have:

3x + z + y = 8

5y - x = -7

3z + 2x - 2y = 15

Make x the subject in (2)

x = 5y + 7

Substitute x = 5y + 7 in (1) and (3)

3(5y + 7) + z + y = 8

15y + 21 + z + y = 8

16y + z = -13

3z + 2(5y + 7) - 2y = 15

3z + 10y + 14 - 2y = 15

3z + 8y = 1

Multiply 16y + z = -13 by 3

48y + 3z = -39

Subtract 3z + 8y = 1 from 48y + 3z = -39

48y - 8y + 3z - 3z = -39 - 1

40y = -40

Divide by 40

y = -1

Substitute y = -1 in x = 5y + 7

x = 5(-1) + 7

x = 2

Make z the subject in 16y + z = -13

z = -13 - 16y

Substitute y = -1

z = -13 - 16(-1)

z = 3

Hence, the solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3

We have:

4x + 5y - 2z = -3

Substitute x = 2, y = -1 and z = 3

4(2) + 5(-1) - 2(3) = -3

Evaluate

-3 = -3 --- this is true

Hence, the solutions in part b hold for equation 4

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Missing part of the question

The following equations are given:

Equation #1: 3x + z + y = 8

Equation #2: 5y - x = -7

Equation #3: 3z + 2x - 2y = 15

Equation #4: 4x + 5y - 2z = -3

Answer:

In geometry, the area of a two dimensional object is the amount of space an area takes up. A square unit is a square with sides of length one unit.

Answer:

Step-by-step explanation:

E and F are horizontally aligned, so the slope of  EF is 0 and its length is 16-10 = 6.

G and H are horizontally aligned, so the slope of  GH is 0 and its length is 16-10 = 6.

F and G are vertically aligned, so FG is vertical and its length is 10-4 = 6.

E and HG are vertically aligned, so EH is vertical and its length is 10-4 = 6.

Quadrilateral EFGH is a square.

Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.

Table 3 is not a function because there is more than one input for each output.

Table 4 is an exponential equation with the equation y = 4x^2

Table 5 is not a function for the same reason as table 3.

Answer:

Yes! The answer is A and B. Or the 1st and 2nd ones.

Step-by-step explanation:

To break down the integral ∫(x^3)/(2x - 1) dx, we can use the properties of indefinite integrals to simplify it.

First, we can rewrite the integrand as (1/2) * (x^3)/(x - 1/2).

Next, we can split the integrand into two separate fractions:

∫(1/2) * (x^3)/(x - 1/2) dx = ∫(1/2) * [(x^3)/(x - 1/2)] dx

= (1/2) * ∫(x^3)/(x - 1/2) dx

Now, we can use partial fraction decomposition to further simplify the integrand. We'll express (x^3)/(x - 1/2) as a sum of two fractions:

(x^3)/(x - 1/2) = A + B/(x - 1/2)

To find the values of A and B, we can multiply both sides of the equation by (x - 1/2):

x^3 = A(x - 1/2) + B

Expanding the right side and collecting like terms:

x^3 = Ax - A/2 + B

Now, we equate the coefficients of like powers of x:

For x^3 term: 1 = A

For x^0 (constant) term: 0 = -A/2 + B

Solving the equations, we find A = 1 and B = A/2 = 1/2.

Therefore, the partial fraction decomposition of (x^3)/(x - 1/2) is:

(x^3)/(x - 1/2) = 1 + (1/2)/(x - 1/2)

Now, we can rewrite the integral using the partial fraction decomposition:

(1/2) * ∫(x^3)/(x - 1/2) dx = (1/2) * ∫(1 + (1/2)/(x - 1/2)) dx

Integrating each term separately:

(1/2) * ∫(1 + (1/2)/(x - 1/2)) dx = (1/2) * (x + (1/2)ln|x - 1/2|) + C

where C is the constant of integration.

Therefore, the integral ∫(x^3)/(2x - 1) dx can be broken down as:

∫(x^3)/(2x - 1) dx = (1/2) * (x + (1/2)ln|x - 1/2|) + C

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This query relates to prices. Let's use the rate for a cold tap to represent Rc and hot water to represent Rh.

Therefore,

Since R = V/t, where t is the fill-in time, determines the rate at which the volume V tab is filled. The following can be written for both of them:

Rc = V/17

Rh = V/t

Rc + Rh = V/7

where t is the time that we need to find.

V/17 + V/t = V/7

Divide both sides by V to get:

1/17 + 1/t = 1/7

Rearrange:

1/t = 1/7 - 1/17

Bring to common denominator:

1/t = (17 - 7)/(7*17) = 10/119

Take an inverse:

t = 119/10 = 11.9 minutes.

The complete question is?

Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill t?

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Answer:

13cm

Step-by-step explanation:

Answer: 13cm

Step-by-step explanation:

Answer: not sure what this question means but i assume three eighths or 0.375

Depends on context

Step-by-step explanation:

Tthe integral of the joint PDF over its support is equal to 1, we have: ∫∫ fX,Y(x,y) dx dy = 1 2c = 1 c = 1/2 Therefore, the constant c is 1/2.

To find the constant c in the joint PDF of two random variables X and Y, given by fX,Y(x,y) = c, we need to use the property that the double integral of the joint PDF over the entire support equals 1. In this case, the support is defined by 0 ≤ x ≤ y ≤ 2.

Step 1: Set up the double integral
∫∫fX,Y(x,y) dx dy = 1

Step 2: Substitute fX,Y(x,y) with the given value
∫∫c dx dy = 1

Step 3: Determine the limits of integration
For x: 0 to y
For y: 0 to 2

Step 4: Solve the double integral
∫(from 0 to 2) ∫(from 0 to y) c dx dy = 1

Step 5: Integrate with respect to x
∫(from 0 to 2) [cx] (from 0 to y) dy = 1
∫(from 0 to 2) cy dy = 1

Step 6: Integrate with respect to y
[c/2 * y^2] (from 0 to 2) = 1
c(2^2)/2 - c(0^2)/2 = 1
c(4)/2 = 1

Step 7: Solve for c
c(2) = 1
c = 1/2

So, the constant c in the joint PDF fX,Y(x,y) = c is 1/2.

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The value of variance in the above formula: σ(X) = √(b-a) / √12. This is our standard deviation (σ(X)).

The probability density function, over the given interval, can be found using the formula below:  

f(x) = 1 / (b - a) over [a, b]

Let's start with finding the expected value (E(X)).

Formula for E(X):

E(X) = ∫xf(x)dx over [a, b]

We can substitute f(x) with the formula we obtained in the question.  

E(X) = ∫x(1/(b-a))dx over [a, b]

Next, we can solve the above integral.

E(X) = [x²/2(b-a)] between limits a and b, which simplifies to:

E(X) = [b² - a²] / 2(b-a)  = (b+a)/2

This is our expected value (E(X)).

Next, we will find the expected value (E(X²)).

Formula for E(X²):E(X²) = ∫x²f(x)dx over [a, b]

Substituting f(x) in the above formula: E(X²) = ∫x²(1/(b-a))dx over [a, b]

Solving the above integral, we get:

E(X²) = [x³/3(b-a)] between limits a and b

E(X²) = [b³ - a³] / 3(b-a)  

= (b² + ab + a²) / 3

This is our expected value (E(X²)).

Now we can find the variance and standard deviation.

Variance: Var(X) = E(X²) - [E(X)]²

Substituting the values we have found:

Var(X) = (b² + ab + a²) / 3 - [(b+a)/2]²

Var(X) = (b² + ab + a²) / 3 - (b² + 2ab + a²) / 4

Var(X) = [(b-a)²]/12

This is our variance (Var(X)).

Standard deviation: σ(X) = √Var(X)

Substituting the value of variance in the above formula:

σ(X) = √(b-a) / √12

This is our standard deviation (σ(X)).

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The value of the expression is f(g(x)) = f(x^2) = 2(x²) + 1 = 2x² + 1.

A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Hence, a function is essentially applied to the output of another function.

Given that,

f(x)=2x+1 and g(x)=x²

To get the composite function we substitute the value of g(x) in the x-value of the function of f(x).

f(g(x)) = f(x^2) = 2(x²) + 1 = 2x² + 1

Hence, the value of the expression is f(g(x)) = f(x^2) = 2(x²) + 1 = 2x² + 1.

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Answer:

B

Step-by-step explanation:

You would add the 2.75 and 4.99 to get 7.74 and you would add the variable for how much widgets are made and since its the profit you would have to add the 2,000 so the equation would be P(w) = 7.74w + 2,000

Hope this helps

(oﾟvﾟ)ノ

The function ϕ: U₃₅ → U₇ given by ϕ(z) = z⁵ is a group homomorphism.

To check if ϕ is a group homomorphism, we need to verify two conditions: preservation of the group operation and preservation of the identity element.Preservation of the group operation:

For any two complex numbers z₁ and z₂ in U₃₅, we have ϕ(z₁z₂) = (z₁z₂)⁵ = z₁⁵z₂⁵ = ϕ(z₁)ϕ(z₂). Therefore, the group operation is preserved under ϕ.

Preservation of the identity element: The identity element in U₃₅ is 1. We have ϕ(1) = 1⁵ = 1, which is the identity element in U₇. Therefore, the identity element is preserved.Since both conditions are satisfied, ϕ is a group homomorphism.The kernel of ϕ is the set of all elements in U₃₅ that map to the identity element in U₇, which is 1. In other words, it is the set of all complex numbers z in U₃₅ such that ϕ(z) = z⁵ = 1.

Since z⁵ = 1, we know that z is a fifth root of unity. The fifth roots of unity are given by the solutions to the equation z⁵ = 1. These solutions are 1, e^(2πi/5), e^(4πi/5), e^(6πi/5), and e^(8πi/5). Therefore, the kernel of ϕ is {1, e^(2πi/5), e^(4πi/5), e^(6πi/5), e^(8πi/5)}.ϕ is a group homomorphism and the kernel of ϕ is {1, e^(2πi/5), e^(4πi/5), e^(6πi/5), e^(8πi/5)}.

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Explanation

As BD is a perpendicular bisector

Using a convenience sample, which would involve surveying mothers who are easily accessible, such as those who live in close proximity to the researcher or it could be to use a random sample, which would involve selecting mothers from all towns across the country at random.

The most appropriate sampling method will likely depend on the specific research question being asked. If the goal is to simply gather general information about stay-at-home mothers’ opinions, then a convenience sample may be sufficient. However, if the goal is to study a specific phenomenon or compare different groups of stay-at-home mothers, then a random sample would be more appropriate.

Whichever sampling method is used, it is important to ensure that the sample is representative of the population of interest. This can be achieved by stratifying the sample, if possible, or by using weighting techniques. For example, if the goal is to study stay-at-home mothers’ opinions on a particular issue, the sample could be stratified by region in order to ensure that mothers from all parts of the country are represented

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Answer:

400 small boxes

Step-by-step explanation:

125 boxes would contain : 125 x 48 = 6000 tins

the number of small boxes needed to contain 6000 tins = 6000 / 15 = 400 small boxes

The company should produce approximately 12,467 tubes of high-bright toothpaste per week to have a 0.95 probability of covering the weekly demand.

To calculate the number of tubes that should be produced to have a 0.95 probability of covering the weekly demand, we need to determine the value that corresponds to the 95th percentile of the normal distribution.

In this case, the mean is 10,000 tubes per week and the standard deviation is 1,500 tubes per week. The 95th percentile represents the value below which 95% of the data falls.

To find this value, we can use the Z-score formula, which is given by Z = (X - μ) / σ, where X is the desired percentile, μ is the mean, and σ is the standard deviation.

Using a Z-score table or a calculator, we can find that the Z-score corresponding to the 95th percentile is approximately 1.645.

Next, we can substitute the values into the Z-score formula and solve for X:

1.645 = (X - 10,000) / 1,500

Solving for X, we get:

X = 1.645 x 1,500 + 10,000

X ≈ 12,467

Therefore, the company should produce approximately 12,467 tubes of high-bright toothpaste per week to have a 0.95 probability of covering the weekly demand.

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Answer:

y = 1/2x + 2

Step-by-step explanation:

lmk if you want an explanation

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

L = \(\sqrt{97} \)ft

Step-by-step explanation:

L = \(\sqrt{r^2 + h^2} \)

r = 8/2 = 4ft

h = 9ft

L = \(\sqrt{4^2 + 9^2} \)

L = \(\sqrt{16 + 81} \)

L = \(\sqrt{97} \)

Answer:

y=2.6

Step-by-step explanation:

y + 6 = 8.6

    -6    -6   isolate the y

y = 2.6

Answer:

-14.6

Step-by-step explanation:

у + 6 = -8. 6

y = -14.6

The calculation is that 5 gallons of paint are required to cover the 1,750 square feet.

Andre's approach of using the rate of 1350 gallons of paint per square foot is incorrect. It seems to be a misunderstanding or miscalculation of the paint coverage per square foot.

Given information:

Area to be covered: 1,750 square feet

Paint coverage per gallon: 350 square feet

Calculate the number of gallons needed to cover the entire area:

Number of gallons = Area to be covered / Paint coverage per gallon = 1,750 / 350 = 5 gallons

Each square foot requires a fraction of a gallon of paint, not a whole gallon. The rate of 1350 gallons of paint per square foot is incorrect and does not apply in this situation.

The correct calculation is that each square foot requires 1/350th of a gallon of paint (since each gallon covers 350 square feet). Therefore, for 1,750 square feet, you would need 1/350th * 1,750 = 5 gallons of paint.

Andre's rate of 1350 gallons of paint per square foot is not applicable and would lead to an incorrect estimation of the amount of paint needed. The correct calculation shows that 5 gallons of paint are required to cover the 1,750 square feet.

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