The event coordinator asks you to determine how many students participated in th track and field day.the total number of students in 7th and eighth grade grade combined is 584; of the are seventh graders , and of them are eighth graders. If of the seventh graders participated in track and field day, and of the eighth graders participated? Describe the process you used to find your answer.

Therefore, Coastal Cove will have a higher temperature at 3:00 pm.

Temperature is a measure of the degree of hotness or coldness of an object or a substance. It is a physical quantity that is measured using a thermometer, and is typically expressed in units such as degrees Celsius (°C) or Fahrenheit (°F), or in the Kelvin (K) scale.

Temperature is a result of the average kinetic energy of the molecules or particles in a substance. When molecules or particles have a high kinetic energy, they move faster and collide more frequently, resulting in a higher temperature. Conversely, when molecules or particles have a low kinetic energy, they move more slowly and collide less frequently, resulting in a lower temperature.

Temperature is an important property in many scientific and engineering fields, such as thermodynamics, meteorology, and materials science. It is also important in everyday life for tasks such as cooking, heating and cooling homes and buildings, and monitoring body temperature for health purposes.

Part A: To find an exponential function that approximates the data on the table, we can use the exponential regression function on a calculator or software. Here is one possible exponential function that fits the data:

\(g(x) = 2.331(1.102)^x\)

where x represents the number of hours since 6:00 am and g(x) represents the temperature in °F.

Part B: To compare the temperatures at 3:00 pm, we need to evaluate the temperature function for each town at x=9 (since 3:00 pm is 9 hours after 6:00 am).

For Coastal Cove:

\(f(9) = 84(1.01)^9\) ≈ 100.63°F

For Inland burgh:

\(g(9) = 2.331(1.102)^9\) ≈ 98.77°F

Therefore, Coastal Cove will have a higher temperature at 3:00 pm.

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Starting with the given equation: 2 sin x cos x = cos x

By dividing both sides by cos x, we may simplify: 2 sin x = 1

Dividing both sides by 2:

sin x = 1/2

The values of x that fulfil sin x = 1/2 must now be found, and they are:

x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.

Therefore, the general solution is:

x = π/6 + 2πn or

x = 5π/6 + 2πn, where n is any integer.

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Just wash all of it geez

Answer:

Mrs Larson washed the most Laundry, and there are 7/20 left to wash

Step-by-step explanation:

by multiplying to common denominator 20, 8/20>5/20. for second questions just use 1 - 8/20-5/20 we get 7/20. Done!

Answer: D

Step-by-step explanation:

When using deduction and starting from a given set of rules and conditions, you can determine what must be true. Therefore, the correct answer is:

D. What must be true

Answer:

43

Step-by-step explanation:

\( AB = x + 6 \)

\( AC = 3x - 31 \)

Since AB = BC, therefore, \( BC = \frac{1}{2}3x - 31 \).

Thus,

\( x + 6 = \frac{1}{2}3x - 31 \)

Solve for x

\( 2(x + 6) = (\frac{1}{2}3x - 31)2 \) (multiplying both sides by 2)

\( 2x + 12 = 3x - 31 \)

Collect like terms

\( 2x - 3x = - 12 - 31 \)

\( -x = -43\)

Divide both sides by -1

\( x = 43\)

Answer:

148302

Step-by-step explanation:

Answer:

148302

Step-by-step explanation:

Because that's the answer

Answer:

to calculate a 18 percent tip on a $105 bill.

What should I tip on 105 dollars? How much is the tip for $105?

Tip $18.90

Total $123.90

Step-by-step explanation:

Put the percentage in decimal form (0.18) then multiply the cost by this number. 26.50 * 0.18 = 4.77. So your tip is $4.77.

Answer:

20

Step-by-step explanation:

11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49

The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

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Answer:

yes

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

6 divided by 9 is 0.6666666667

4 divided by 6 is o.6666666667

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

Answer:

  8) a. Use center G and the same radius

  9) b. WX ≅ JK

Step-by-step explanation:

8) You want to know the next step in constructing a perpendicular bisector.

9) You want to know how WX relates to JK.

A perpendicular bisector of GH is the set of points equidistant from G and H. The arc shown is a set of points at some distance from H. We want to find two points on that arc that are the same distance from G, so the next step is ...

  a) Using G as a center, draw an arc with the same radius as the first arc

All of the points on the arc are the same distance from W as J is from K. Point X is a point on the arc, so WX will have the same length as JK.

  b) WX is congruent to JK

The value of z in the circle is 2.3 units

In the question, the following statements represents the given parameters

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

1) g is the dependent variable.(A)

2) u is the independent variable.(D)

Step-by-step explanation:

Answer:

The answer to the problem is 159

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693

If 58% = 58÷100 of the people have been vaccinated, then;

1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.

Now:

Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;

P( > 1 ) = 1 - P(0)                 -----------(1)

Where;

P(0) = probability that all of the four have not been vaccinated.

P(0) = P(1) x P(2) x P(3) x P(4)×p(5)

Where;

P(1) = Probability that the first out of the four has not been vaccinated

P(2) = Probability that the second out of the four has not been vaccinated

P(3) = Probability that the third out of the four has not been vaccinated

P(4) = Probability that the fourth out of the four has not been vaccinated

P(5)=Probability that the fifth out of the five has not been vaccinated

Remember that 42÷100 of the population has not been vaccinated. Therefore,

P(1) = 42÷100    

P(2) = 42÷100

P(3) = 42÷100

P(4) = 42÷100

P(5)=42÷100

P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)

P(0) = (42÷100)⁵

P(0) = (0.42)⁵

P(0) = 0.013067

Therefore, from equation (1);

P( > 1 ) = 1 -0.013067

P( > 1 ) = 0.98693

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693

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Answer:

  (c)  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

You want the range of the piecewise function shown in the graph.

The range is the vertical extent of the graph, the set of possible output values of the function.

This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)

Hence, the range is ...

  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

\((2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)\)

Answer:

C: X <= 7

Step-by-step explanation:

Reimagine the inequality as

3 - 1 >= X - 5/7*X

2 >= 2/7*X

1 >= 1/7 * X

7 >= X

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

Simple Interest Formula

I = Prt

where:

Given:

Create two equations from the given information:

\(\textsf{Equation 1}: \quad \sf P_1+P_2=7000\)

\(\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500\)

Rewrite Equation 1 to make P₁ the subject:

\(\implies \sf P_1=7000-P_2\)

Substitute this into Equation 2 and solve for P₂:

\(\implies \sf 0.05(7000-P_2)+0.08P_2=500\)

\(\implies \sf 350-0.05P_2+0.08P_2=500\)

\(\implies \sf 0.03P_2=150\)

\(\implies \sf P_2=\dfrac{150}{0.03}\)

\(\implies \sf P_2=5000\)

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\(\implies \sf P_1+5000=7000\)

\(\implies \sf P_1=7000-5000\)

\(\implies \sf P_1 = 2000\)

$2000 was invested at 5% and $5000 was invested at 8%.

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Answer 1232

Step-by-step explanation:

16 oncues equal 1 pound so 8x2 equals 16

so you would moultiply 616x2

Answer: 1,232 calories

Step-by-step explanation: Since there’s 16 ounces in a pound, all you have to do is multiply 616 by 2 which equals 1,232 calories. 8 times 2 = 16, so 616 times 2 = 1,232

Answer:

72

Step-by-step explanation:

Round to nearest whole number.

71.8 is rounded to 72.

72 is the answer to your question.

Answer:

Step-by-step explanation:

one fifth

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

Answer:3 9/11

Step-by-step explanation:

First we need to convert both numbers to mixed numerals. Just search it up on the internet if ur dont know how to do that. Then once you have them both, 21/2 and 11/4, you divide the fractions (multiply by reciprocal) and you get 42/11. reconvert back to mixed numeral and u get 3 9/11

Answer:

3.81818181818

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).