What is the value of
60°
AS
O2)62
OD)99

Answer:3.92

Step-by-step explanation:

find 1/5 of 9.8kg

=1.96kg

3/5 of pears = 1.96*3=5.88kg

apples= 2/5 so 1.96*2=3.92kg

OR 9.8-5.88=3.92kg

Answer:

3.92kg of Apples

Step-by-step explanation:

The size of Pears weight is 3/5 of 9.8kg...

=3/5 * 9.8

=3 * 9.8/5

=29.4/5

=5.88kg

Thus, the size of the Apples will be 9.8kg - 5.88kg

= 3.92kg.

Thus, the farmer sold 3.92kg of Apples at the farmer's market.

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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An LED light bulb is 40% efficient, compared to an incandescent, which is 5% efficient which means that an LED light bulb will convert 40% of the energy used into visible light, while an incandescent light bulb will only convert 5% of the energy used into visible light.

The other 95% of the energy used by an incandescent bulb is lost as heat, making it less efficient. LEDs are much more energy efficient than incandescent bulbs. LEDs are able to produce the same amount of light as an incandescent bulb with only a fraction of the energy. This is because LEDs emit light in a narrow spectrum which reduces energy loss due to the amount of light that is not visible to the human eye. In addition, LEDs do not contain filaments that require power to heat up, meaning that much less energy is wasted as heat.

LEDs also have a longer lifespan than incandescent bulbs. This is due to the fact that LEDs have no filament to burn out, meaning they can last up to 50,000 hours or more. On the other hand, an incandescent bulb typically has a lifespan of around 1,000 hours. This means that an LED light bulb can potentially last up to 50 times longer than an incandescent bulb.

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Answer:

so we can't because you did put the full question

The function f(x) = e^(3x) - e^x is increasing on the interval (-∞, +∞).

On the range (-∞, +∞), the function f(x) = e^(3x) - e^x increases. This is because the exponential function e^x is increasing for all x, so the difference of two increasing functions is also increasing.

A mathematical function called an exponential function is applied in numerous instances in the real world. It is mostly used to calculate investments, model populations, and do other tasks like determining exponential growth or decay. In an exponential growth model, the quantity increases initially extremely slowly and subsequently quickly. As time goes on, the rate of change quickens.

Correct Question :

On what interval is the function f (x) = e^(3x)−e^x increasing?

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it would take approximately 2,749 hours for a rocket traveling at 3.35×10⁴ kilometers per hour to travel from Earth to Mercury.

what is approximately ?

Approximately means "about" or "roughly". It is used to indicate that a number or value is not exact, but rather an estimate or approximation. When a value is given as approximately a certain number

In the given question,

To calculate the time it would take a rocket traveling at 3.35×10⁴ kilometers per hour to travel from Earth to Mercury, we need to divide the distance between Earth and Mercury by the speed of the rocket:

Time = Distance / Speed

Distance = 9.21×10⁷kilometers

Speed = 3.35×10⁴ kilometers per hour

Time = 9.21×10⁷ km / (3.35×10⁴ km/h)

Time = 2,748.66 hours

Rounding this value to the nearest whole number of hours gives:

Time = 2,749 hours

Therefore, it would take approximately 2,749 hours for a rocket traveling at 3.35×10⁴ kilometers per hour to travel from Earth to Mercury.

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There is not a statistically significant correlation between the two variables.

Sarah finds an obtained correlation of .25. Based on the question, Sarah can conclude that there is not a statistically significant correlation between the two variables.

In order to test for statistical significance, Sarah must run a hypothesis test.

Here, the null hypothesis is that the correlation between the two variables is 0, while the alternative hypothesis is that the correlation is not 0.

Using a two-tailed test with an alpha of .05, Sarah would compare her obtained correlation of .25 with the critical values of a t-distribution with n-2 degrees of freedom.

The calculated value of t would not be significant at the alpha level of .05;

thus, Sarah would fail to reject the null hypothesis.

Therefore, the conclusion is that there is not a statistically significant correlation between the two variables.

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There are ²⁰С₁₀ × 10!  × 10! ways to divide the class and line up the groups.

Number of students in the class = 20

Selection of group one = ²⁰С₁₀ ways

Selection of group two = 1 way

Number of ways to arrange 10 students in a group = 10!

So, Total number of ways = ²⁰С₁₀ × 10!  × 10! ways.

Hence there are  ²⁰С₁₀  × 10!  × 10! ways to divide the class and line up the groups.

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the last one

7.68 > 7.56

Answer:

2556

Step-by-step explanation:

Answer:

x=2 or -2

Step-by-step explanation:

You can refer to the photo I attached

Answer:

1.0755 = 1.08

Step-by-step explanation:

Answer:

100.00

Step-by-step explanation:

107.55 rounded to the nearest hundredth is 100.00

Answer:

Step-by-step explanation:

Answer:

We are here because we need help with a particular course or question

Step-by-step explanation:

Our goal is to try our best and explain to others to their understanding (and win titles)

BOOM!!!

Answer:

C) 5√2

Step-by-step explanation:

Answer:

48. ..........hhshhxhxx

Step-by-step explanation:

180-42-90=48

The limit of (f(x) + 1) / sin(x) as x approaches 0 is 0, the approximation for f(1/2) using Euler's method with two steps is 19/32 and the particular solution to the differential equation with the initial condition f(0) = -1 is: y(x) = -1 / (x²  + 2x + 1) - 1.

(a) To find the limit of (f(x) + 1) / sin(x) as x approaches 0, we can first rewrite the given differential equation as:

dy / dx = y²  (2x + 2)

Separating variables, we get:

dy / y²  = (2x + 2) dx

Integrating both sides, we have:

∫(1 / y² ) dy = ∫(2x + 2) dx

Integrating the left side gives:

-1 / y = x²  + 2x + C1

where C1 is the constant of integration.

Since we have the initial condition f(0) = -1, we substitute x = 0 and y = -1 into the above equation:

-1 / (-1) = 0²  + 2(0) + C1

1 = C1

So the particular solution is:

-1 / y = x²  + 2x + 1

Multiplying through by y gives:

-1 = y(x²  + 2x + 1)

Simplifying further:

y(x²  + 2x + 1) + 1 = 0

Now, to find the limit (f(x) + 1) / sin(x) as x approaches 0, we substitute x = 0 into the particular solution equation:

f(0)(0²  + 2(0) + 1) + 1 = 0

-1(0) + 1 = 0

1 = 0

Therefore, the limit of (f(x) + 1) / sin(x) as x approaches 0 is 0.

(b) Using Euler's method, we approximate the value of f(1/2) starting at x = 0 with two steps of equal size. Let's choose the step size h = 1/4.

First step:

x0 = 0, y0 = f(0) = -1

Using the differential equation, we have:

dy / dx = y²  (2x + 2)

dy = y²  (2x + 2) dx

Approximating the derivative using the Euler's method:

Δy ≈ y²  (2x + 2) Δx

Δy ≈ (-1)²  (2(0) + 2) (1/4)

Δy ≈ 1/2

Next, we update the values:

x1 = x0 + Δx = 0 + 1/4 = 1/4

y1 = y0 + Δy = -1 + 1/2 = 1/2

Second step:

x0 = 1/4, y0 = 1/2

Using the differential equation again:

dy / dx = y^2 (2x + 2)

dy = y²  (2x + 2) dx

Approximating the derivative using the Euler's method:

Δy ≈ y²  (2x + 2) Δx

Δy ≈ (1/2)²  (2(1/4) + 2) (1/4)

Δy ≈ 3/32

Updating the values:

x2 = x1 + Δx = 1/4 + 1/4 = 1/2

y2 = y1 + Δy = 1/2 + 3/32 = 19/32

Therefore, the approximation for f(1/2) using Euler's method with two steps is 19/32.

c)To find the particular solution to the differential equation dy/dx = y^2 (2x + 2) with the initial condition f(0) = -1, we can solve the separable differential equation.

Separating variables, we have:

dy / y² = (2x + 2) dx

Integrating both sides:

∫(1 / y² ) dy = ∫(2x + 2) dx

Integrating the left side:

-1 / y = x²  + 2x + C

where C is the constant of integration.

To find the particular solution, we substitute the initial condition f(0) = -1:

-1 / (-1) = 0²  + 2(0) + C

1 = C

So the particular solution is:

-1 / y = x²  + 2x + 1

Multiplying through by y gives:

-1 = y(x²  + 2x + 1)

Simplifying further:

y(x²  + 2x + 1) + 1 = 0

Therefore, the particular solution to the differential equation with the initial condition f(0) = -1 is: y(x) = -1 / (x²  + 2x + 1) - 1

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Answer:

0 Joules (No work)

Step-by-step explanation:

The amount of work done on an object is equal to the force applied to the object times the distance over which the force is applied. In this case, the force applied to the car is 100 newtons, but the car does not move, so the distance over which the force is applied is 0 meters.

Therefore, the amount of work done on the car is 100 newtons * 0 meters = 0 joules. This means that no energy has been transferred to or from the car as a result of the force applied to it.

The simplified forms of the fractions are 3 and -5 repectively

To simplify a fraction, you divide both the numerator (top number) and denominator (bottom number) by their greatest common factor (GCF) until there are no more common factors. The result will be the simplified form of the fraction.

We have to note that;

1 ) 1 + 1/2 = 3/2

Then we have;

3/2 * 2/1 = 6/2 = 3

2) 3/4 - 2 = -5/4

Then we have;

-5/4 * 4/1 = -5

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Answer:

it means wh

Step-by-step explanation:

it means that what are the size in each side

Step-by-step explanation:

there are multiple concepts we can use.

I will focus on similar triangles. that would mean all angles in both triangles are the same, and the side length ratio of a corresponding side pair is the same for all side pairs.

ABC is similar to WYC.

the lengths of the legs in WYC are clearly half the lengths in ABC.

so, also the baseline of WYC must be half of the baseline of ABC.

therefore,

AB = 2×WY = 2×38 = 76

WYC is similar to XBY. in fact, as the ratio of the side lengths is 1 (because CY = YB), they are not only similar but congruent.

but in any case, with the same ratio of 1 it means that WC = XY = 24

therefore,

AC = 2×WC = 2×24 = 48

AXW is again similar to ABC (because again, the side ratios are the same : 1/2).

so, WX is half of CB

therefore,

WX = CB / 2 = 66/2 = 33

Answer:

Step-by-step explanation:

Let the point (6, -5) be M, and point B has coordinates of (x, y)

As the point A(7, -3) reflects over the point M, it becomes the midpoint of segment AB

Using midpoint formula, finding the coordinates of the point B

So the point B is (5, -7)

Measuring length and width can determine if the center section is within specification. The given statement is insufficient to be determined as true or false as the statement doesn't specify the length and width of what is being measured.

Therefore, we can not provide the required answer without knowing the complete question. Hence, we need further information on the complete statement. In technical terms, specifications are a set of specifications and requirements that a product, materials, service, or system must meet. Specifications are developed to ensure that products, systems, or services are consistent, trustworthy, and meet the needs of the end-user. Therefore, specifications play a crucial role in ensuring the quality and reliability of a particular product or service. It also helps to determine whether a product or service meets the required safety and performance standards or not.

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Step-by-step explanation:

complementary angle = 90 - angle

= 90- 48= 42 °

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total number of tickets sold = x + y = 9 + 18 = 27. So, Darius sold 27 tickets altogether.

what is an algebraic expression?

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations (such as addition, subtraction, multiplication, and division) that represent a quantity.

Let x be the number of children's tickets sold, and let y be the number of adult tickets sold.

From the problem statement, we know that:

The price of a children's ticket is $4.50

The price of an adult ticket is $6.50

The total amount collected is $157.50

The number of adult tickets sold is twice the number of children's tickets sold

Using this information, we can set up the following system of equations:

x + y = total number of tickets sold (equation 1)

4.5x + 6.5y = 157.5 (equation 2)

y = 2x (equation 3)

We can use equation 3 to substitute y in terms of x in equations 1 and 2:

x + 2x = total number of tickets sold (substitute y = 2x from equation 3 into equation 1)

4.5x + 6.5(2x) = 157.5 (substitute y = 2x from equation 3 into equation 2)

Simplifying these equations, we get:

3x = total number of tickets sold (simplifying the left side of the first equation)

17.5x = 157.5 (simplifying the second equation)

x = 9 (dividing both sides of the second equation by 17.5)

Therefore, the number of children's tickets sold is x = 9, and the number of adult tickets sold is y = 2x = 2(9) = 18.

To find the total number of tickets sold, we can add x and y:

therefore, total number of tickets sold = x + y = 9 + 18 = 27

So, Darius sold 27 tickets altogether.

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An amount of $ 13,200 has a total comission of 856.

Herein we find the case of the calculation of a comission for an amount of money, where an interest rate of six percent is applied for first $ 10.000 and an interest rate of eight percent is applied for the excedent above $ 10.000. The total comission is determined by following mathematical equation:

C = 10,000 · (6 / 100) + (13,200 - 10,000) · (8 / 100)

C = 856

The graduate must pay a total comission of $ 856 for an amount of $ 13,200.

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Answer:

a

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

\(\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1\)

Where center is at point (h,k)

From the equation of \(\displaystyle{x^2+5y^2-45=0}\). First, we add 45 both sides:

\(\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}\)

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

\(\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}\)

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

Answer:

D

Step-by-step explanation:

The remaining material can be calculated as

volume of larger cube - volume of smaller cube

= a³ - b³ ← difference of cubes which factors in general as

= (a - b)(a² + ab + b²) → D