what’s the equation of the circle?

Answer:

1. 30 years old

2. 7 years old

3. 5 hours

Step-by-step explanation:

We can solve all of these problems using algebraic equations.

1. In this question, we will use variable x to represent the age of Mrs. Olsen's daughter.

In 10 years, x - 20 = 2x. That means that in 10 years, Mrs. Olsen will be 40 years old. That means she is 30 right now.

2. In this question, we will use variable x to represent the age of Alyssa.

If, in 30 years, their total age is 88, their current total is 28. Tyler is 3 times as old as Alyssa, so Tyler is 21 and Alyssa is 7.

3. Ryan leaves home at 50 mph. That means, in an hour Ryan will be 50 miles away from home. At that point, Jacob leaves home at a speed of 60 mph, so the gap between them closes by 10 miles each hour. That means that Jacob will take 5 hours to catch up, counting from when he left (how far is this workplace jeez?!?!?!?).

We could also represent this with a graph.

Hour 1: R = 50, J = 0 (Jacob leaves after this hour so it doesn't count for the answer)

Hour 2: R = 100, J = 60

Hour 3: R = 150, J = 120

Hour 4: R = 200, J = 180

Hour 5: R = 250, J = 240

Hour 6: R = 300, J = 300

The result of each operation is given as follows:

a) a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

b) a ∩ b = {}.

c) a - b = {0, 2, 4, 6, 8}.

The union and intersection sets of multiple sets are defined as follows:

Item a:

The union set is composed by the elements that belong to at least one of the sets, hence:

a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

Item B:

The two sets are disjoint, that is, there are no elements that belong to both sets, hence the intersection is given by the empty set.

Item c:

The subtraction is all the elements that are on set a but not set b, hence:

a - b = {0, 2, 4, 6, 8}.

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Answer: Always negative

Answer:

A 6.930

Step-by-step explanation:

Answer:

(x+12)(x+4)

(x-8)(x+5)

(m-7)(m-9)

Step-by-step explanation:

Helping in the name of Jesus.

Answer:EF to AD

Step-by-step explanation:

Answer:

is this question in Spanish?

The optimal feasible solution is x1 = 1, x2 = 0.4, and the problem is a regular linear programming problem.

To solve the given linear programming problem, let's define the decision variables and formulate the objective function and constraints:

Decision Variables:

x1, x2

Objective Function:

Maximize: 2x1 + 6x2

Constraints:

2x1 + 5x2 ≤ 4

4x1 + x2 ≤ 6

x1, x2 > 0

To find the optimal feasible solution, we can use a linear programming solver. Here is the optimal solution for the given problem:

Optimal Solution:

x1 = 1

x2 = 0.4

The maximum value of the objective function is obtained when x1 = 1 and x2 = 0.4. The maximum value is 2(1) + 6(0.4) = 4.8.

Now let's analyze if the solution is a special case of linear programming.

This problem falls under the category of Linear Programming (LP) problems. However, it does not represent any specific special case of LP such as degeneracy, unboundedness, or infeasibility. The given problem has a feasible solution, and the objective function is maximized within the given constraints. Hence, it is a regular LP problem without any special case conditions.

Note: Since the solution is text-based, there is no need to scan or provide a separate file.

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Using equation of motion, the time to reach 5 ft is 3.81s

The equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.

There are 4 equations of motions, but the one concerning us today will be

s = ut - 1/2gt²

NB: The negative sign in the equation is due to the fact that the ball is moving against gravity.

Substituting the values into the equation;

5 = 20t - 1/2(9.8)t²

5 = 20t - 4.9t²

4.9t² - 20t + 5 = 0

Solving the quadratic equation;

t = 3.81s or t = 0.27s

But since the object has already passed the first 5ft and will be at the second 5ft again, this will take and longer time which will make t = 3.81s

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Answer:

1/5 = 2/10 = 3/15 = 4/20 = 5/25

2/3 = 4/6 = 6/9 = 8/12 = 10/15

Step-by-step explanation:

Multiply both numerator and denominator by same number.

example:

1         2            2

_   x   _    =      _

5        2           10

do this for each multiplier, so

1/5 × 2/2; 1/5 × 3/3; 1/5 × 4/4; 1/5 × 5/5;

and

2/3 × 2/2; 2/3 × 3/3; 2/3 × 4/4; 2/3 × 5/5;

When comparing the strength of a rectangular wire versus a round wire, the rectangular wire is typically stronger. This is due to the fact that the rectangular wire has a larger cross-sectional area, which contributes to its overall strength. The rectangular wire's wider and flatter shape allows it to withstand greater force before deforming, making it more suitable for heavy loads and high-stress applications.

In terms of beams versus cantilevers, it is essential to understand the differences between these two structural elements. A beam is a horizontal structural member that is supported at both ends, while a cantilever is a horizontal structural member that is supported only at one end. Beams and cantilevers are used in various applications, such as bridges and buildings.

In general, a beam is stronger than a cantilever, as it has support at both ends, distributing the load more evenly across its length. This means that beams can carry more weight and are less likely to experience deformation or failure when compared to cantilevers. Cantilevers, on the other hand, have a single support, resulting in a higher concentration of stress at the fixed end. This makes cantilevers more susceptible to bending and deflection under heavy loads.

In summary, rectangular wires are typically stronger than round wires, and beams are stronger than cantilevers. Rectangular wires have a larger cross-sectional area, providing greater strength, while beams have support at both ends, allowing them to carry more weight without deforming.

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Answer: 13?i really dont know

Step-by-step explanation:

Answer:

x= 3/2 and 3

Step-by-step explanation:

Hope this helps!!

Answer:

There are 120 calories in the fruit pot.

Step-by-step explanation:

Calories per 100g of apple: 52 calories

Calories from 150g of apple pieces: (52 calories / 100g) * 150g = 78 calories

Calories per 100g of grapes: 70 calories

Calories from 60g of grapes: (70 calories / 100g) * 60g = 42 calories

Total calories in the fruit pot: 78 calories + 42 calories = 120 calories

Answer: Hello, I can help!

The probability that Jerry will have to wait for the bus for more than five minutes is 0.3. Therefore, the probability that he will not have to wait for more than five minutes is 0.7 (since the sum of the probabilities of all possible outcomes is 1).

The probability that Jerry does not wait for more than five minutes on any one day is 0.7. The probability that he does not wait for more than five minutes on all 5 days is:

0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807

Therefore, the probability that Jerry does not wait for more than five minutes all 5 days this week is 0.16807 or about 16.81%.

Step-by-step explanation: rest easy my friend:)

Answer:

To answer this question, we need to use the binomial probability formula:

P(X = k) = nCk * p^k * (1 - p)^(n - k)

where n is the number of trials, k is the number of successes, p is the probability of success, and nCk is the number of combinations of k elements out of n.

In this case, n = 5 (the number of days in a week), k = 5 (the number of days that Jerry does not wait for more than five minutes), and p = 0.7 (the probability that Jerry does not wait for more than five minutes on any given day).

Plugging these values into the formula, we get:

P(X = 5) = 5C5 * 0.7^5 * (1 - 0.7)^(5 - 5)

P(X = 5) = 1 * 0.16807 * 1

P(X = 5) = 0.16807

Therefore, the probability that Jerry does not wait for more than five minutes all 5 days this week is about 16.8%.

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Answer:

Step-by-step explanation:

We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).

By pythagoras we know that

\(h^2= a^2+b^2.\)

and the perimeter is \(P=h+a+b\).

Since P=24 and a=6  we have these equations:

\(h^2=36+b^2\\24=h+6+b\)

From the last equation we have \(h=18-b\). Replace h in the first equation we get that

\((18-b)^2=36+b^2\)

\(18^2-36b+b^2=36+b^2\\288=36b\\b=\frac{288}{36}=8\)

and h=18-8=10

Answer:

y=|x|

Step-by-step explanation:

We know

general modulus function passes through origin as |0| is 0

And it's symmetric on both sides of y axis .

As it's not one -one function

Means

So the graph is y=|x|

Answer:

y = |x|

Step-by-step explanation:

The equation for the part of graph to the right of the y-axis is:  

y = x  where y ≥ 0

The equation for the part of graph to the left of the y-axis is:  

y = -x  where y ≥ 0

So we can see that both a positive and negative value of x gives the same positive value of y.

Therefore, we can create an equation for the graph by using the absolute value of x:

⇒ y = |x|

Absolute value means how far away a number is from zero.

"x" is x away from zero and "−x" is also x away from zero.

So the absolute value of x is x, and the absolute value of −x is also x.

The bars either side of the x shows that we want the absolute value of x.

In practice, think of "absolute value" as removing any negative sign in front of a number.

With y = x  →  when x = 1, y = 1  and  when x = -1, y = -1

With y = |x|  →  when x = 1, y = 1  and  when x = -1 we think of it as x = 1, so y = 1

Answer:

A 400 sq in

Step-by-step explanation:

10^2*3.14=314, I just rounded to the closest answer sorry if it's wrong.

Answer:

Since rational numbers can be written as a ratio, such as a/b, then irrational numbers can not be written that way.

Step-by-step explanation:

Square roots of non-perfect squares are irrational numbers because they are non-terminating and non repeating decimals

Answer:

150 lights

Step-by-step explanation:

2.5 times 6 equals 15 times 10 is 150 their are 150 lights

Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

True. An annuity due is a series of equal payments made at the beginning of each period, while an ordinary annuity is a series of equal payments made at the end of each period.

Because payments made at the beginning of each period earn interest for one additional period, annuity due payments are worth more than equivalent ordinary annuity payments. This means that the present value of an annuity due must be larger than the present value of an equivalent ordinary annuity, assuming the same interest rate and number of payments.

Therefore, if we compare two annuities with the same payment amount, interest rate, and number of payments, the annuity due will always have a larger present value than the ordinary annuity. It is important to understand the difference between these two types of annuities as it can impact the amount of money you receive or need to save for your retirement.

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The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

7/50

Step-by-step explanation:

Develop an estimated regression equation to predict the percentage of games won based on the percentage of field goals made and determine if there is a significant relationship between the two variables at the .05 level of significance.

To develop an estimated regression equation that can be used to predict the percentage of games won given the percentage of field goals made and test for a significant relationship at the .05 level of significance, follow these steps:

1. Gather data: Collect data on the percentage of games won and the percentage of field goals made for a representative sample of teams or seasons.

2. Perform a regression analysis: Use statistical software or a spreadsheet tool to run a linear regression analysis, where the dependent variable (Y) is the percentage of games won and the independent variable (X) is the percentage of field goals made.

3. Obtain the regression equation: From the regression analysis output, find the coefficients for the intercept (b0) and the slope (b1). The estimated regression equation will be Y = b0 + b1X.

4. Test for a significant relationship: To determine if there is a significant relationship between the percentage of games won and the percentage of field goals made at the .05 level of significance, analyze the p-value associated with the independent variable (X) in the regression output. If the p-value is less than .05, there is a significant relationship between the variables.

5. Interpret the results: If a significant relationship exists, the regression equation can be used to predict the percentage of games won based on the percentage of field goals made. The slope (b1) indicates how the percentage of games won changes for each percentage point increase in field goals made. If there is no significant relationship, the equation cannot be used for reliable predictions.

By following these steps, you can develop an estimated regression equation to predict the percentage of games won based on the percentage of field goals made and determine if there is a significant relationship between the two variables at the .05 level of significance.

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Answer:

y = x^2 - 4.

Step-by-step explanation:

This graph is the reslt of translating y = x^2 down by 4 nits

Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

If Rashid spent 30 minutes on each piece of homework for three subjects, we can calculate the total time he spent by multiplying the time spent per subject (30 minutes) by the number of subjects (3).

30 minutes * 3 = 90 minutes.

To convert this into hours and minutes, we divide 90 minutes by 60 since there are 60 minutes in an hour.

90 minutes ÷ 60 = 1 hour and 30 minutes.

Therefore, Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

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The value of x in the given triangle is 3.106.

One of the six trigonometric functions, sine is defined as the ratio of the opposing side to the hypotenuse of a right triangle. In other words, the sine of is given by: If we have a right triangle with angle, side opposite to has length a, and hypotenuse has length h, then

sin(θ) = a/h

Trigonometric functions like cosine and tangent are connected to the sine function, which is frequently utilised in the subject. For instance, the ratio of the neighbouring side to the hypotenuse is the definition of the cosine of an angle.

The value of x can be determined using the trigonometric function sine.

sin(θ) = opposite/hypotenuse

sin(15) = x/12

x = 12 sin(15)

x = 12(0.2588) = 3.106

Hence, the value of x in the given triangle is 3.106.

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The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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