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Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)

Answer:

See below.

Step-by-step explanation:

Make a table with values at certain values of x from -2 to 2.

Write in the table f(x) and g(x), and then h(x).

Then, plot the points for h(x).

See the picture below.

If the true mean is .9640 with a standard deviation of 0.0100.  with 90% confidence that the mean bio/total carbon ratio of the blended fuels falls within the interval of 0.9600 to 0.9680.

The interval within which 90% of the sample means will fall can be calculated using the formula:

Interval = x bar ± z(α/2) * (σ/√n)

Where:

x bar = true mean = 0.9640

σ = standard deviation = 0.0100

n = sample size = 33

z(α/2) = z-score for the desired confidence level, which can be found using a standard normal distribution table or calculator. For a 90% confidence level, α/2 = 0.05 and z(α/2) = 1.645.

Substituting the values, we get:

Interval = 0.9640 ± 1.645 * (0.0100/√33)

Interval = 0.9640 ± 0.0040

Interval = [0.9600, 0.9680]

Therefore, we can say with 90% confidence that the mean bio/total carbon ratio of the blended fuels falls within the interval of 0.9600 to 0.9680.

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According to the given information, if 5 cups of flour are used in the recipe, we should use 5/3 cups of sugar.

Multiplication is an arithmetic operation that involves combining two or more numbers to get a product. It is a way of repeatedly adding a number to itself a certain number of times. The number being multiplied is called the multiplicand, while the number of times it is being multiplied is called the multiplier. The result of the multiplication operation is called the product

If the recipe requires 2 cups of flour for every 2/3 cups of sugar, we can write this relationship as:

2 cups of flour : 2/3 cups of sugar

To find out how many cups of sugar should be used if 5 cups of flour are included, we can set up a proportion:

2 cups of flour / 2/3 cups of sugar = 5 cups of flour / x cups of sugar

where x is the number of cups of sugar we want to find.

To solve for x, we can cross-multiply:

2 cups of flour * x cups of sugar = 2/3 cups of sugar * 5 cups of flour

2x = (2/3) * 5

2x = 10/3

x = 5/3

Therefore, According to the given information,  if 5 cups of flour are used in the recipe, we should use 5/3 cups of sugar.

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The values of x at which the function has a local minimum are x = -4, 12.

The point in the domain of the functions with the lowest value is known as the local minimum. You may calculate the local minimum by determining the function's derivative. The first derivative and second derivative tests are the two key techniques for locating a function's local minimum.

There are several applications for the local minimum notion in business, economics, and engineering.

The least value of the function f(x) in the specified domain is essentially what the local minimum is.

From the graph, we observe

The value of the function f(x) is minimum at x = - 4 and x = 12

Therefore, x = -4, 12

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The probability of losing is \(\frac{999}{1000}\) (since there are 999 ways to lose and 1 way to win), so the odds against winning are \((\frac{\frac{999}{1000} }{\frac{1}{1000} })\) = 999:1.

To understand the concept of odds against winning, we can use the analogy of flipping a coin. There are only two outcomes that can occur when we flip a fair coin: heads or tails. The probability of getting heads is 1/2 and the probability of getting tails is also \(\frac{1}{2}\) . The odds against getting heads are the ratio of the probability of getting tails to the probability of getting heads, which is 1:1 or even odds. In the case of the Florida Pick 3 lottery, there are 1000 possible outcomes, but only one is a winning outcome. Therefore, the actual odds against winning the Florida Pick 3 lottery with a straight bet are 999 to 1.

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The complete question is:

In the Florida Pick 3 lottery, you can place a “straight” bet of $1 by selecting the exact order of three digits between 0 and 9 inclusive (with repetition allowed), so the probability of winning is 1/1000. If the same three numbers are drawn in the same order, you collect $500, so your net profit is $499.

Find the actual odds against winning

Answer:

  15 mph

Step-by-step explanation:

The cyclists will cover distance at a rate proportional to their speed. So, the distance ratio is ...

  faster cyclist distance : slower cyclist distance = 3 : 1

Then the faster cyclist covers 3 : (3+1) = 3/4 of the total distance, or (3/4)(40 mi) = 30 mi.

That distance took 2 hours for the faster cyclist, so the speed was ...

  speed = distance/time = 30 mi/(2 h) = 15 mi/h

Answer:

Step-by-step explanation:

Temperature change:

Sal is wrong as the difference should be calculated as subtraction of the two values and absolute value of the result should be taken as the answer

Answer:

Sal was wrong as the change of temperature is 26°F

Step-by-step explanation:

recorded temperature at 7:30 A.M. = -4°F

                                             at noon = 22°F

change of temperature = 22 - (-4) = 26°F

therefore, Sal was wrong as the change of temperature is 26°F

Answer:

y = 1/3x - 3

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

ANSWER: 480 out of 1200 were taken at the Honolulu Zoo.

The ropes should be staked 12 ft away from 16 ft pole and 18 ft away from 24 ft pole.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

Given that, two vertical poles, one 16 ft high and the other 24 ft high, stand 30 feet apart on a flat field. A worker wants to support both poles by running rope from the ground to the top of each post, we need to find where should the stake be laced to use the least amount of rope,

Let rope of the 16 ft high pole be at x ft and that of 24 ft high pole at (30-x)

The structure of rope and poles are making a set of similar triangles, (refer to figure attached)

We know that, the corresponding sides of the similar triangle are in same ratio,

Therefore,

16 / x = 24 / (30-x)

2 / x = 3 / (30-x)

60 - 2x = 3x

5x = 60

x = 12

30-12 = 18

Hence, the ropes should be staked 12 ft away from 16 ft pole and 18 ft away from 24 ft pole.

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Answer:

C

Step-by-step explanation:

The highest number here is 2.01, so we start by looking for an answer that begins with 2.01. Then we compare 1.48, 1.237,1.234, and 1.2. Look into the tenths place to find that 1.48 has a larger tenths place than any other number. continue this cycle to have the full correct order.

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer:

True

Step-by-step explanation:

after cross multiplication

Both will be 5a=2b

The point where x = -1 is the location of a relative maximum.

What is the critical point?

The concept of "critical point" is used in a lot of different ways, particularly, the most common way in which it is used is to describe the points where the slope of the tangent line is zero in continuous functions.

A critical point is a point where the first derivative of a function is equal to zero or is undefined.

A relative maximum occurs when the first derivative is zero and the second derivative is negative, while a relative minimum occurs when the first derivative is zero and the second derivative is positive.

The given information tells us that f'(x) is positive in the interval x < -1, negative in the interval -1 < x < 0, and positive in the interval x > 0.

This means that f'(x) is increasing in the interval x < -1, decreasing in the interval -1 < x < 0, and increasing in the interval x > 0. Therefore, at the critical point x = -1, f'(x) is zero and f''(x) is negative.

This means that the function changes from an increasing function to a decreasing function, indicating that the point where x = -1 is the location of a relative maximum.

Hence, the point where x = -1 is the location of a relative maximum.

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Answer:

18

Step-by-step explanation:

15 x 20%=18

Answer:

138

Step-by-step explanation:

because when you add 18 to 120 it is 138

Answer: In order to solve for x, we will have to use the logarithmic properties to isolate x.

f(x) = 3 - 4 In (x-2)

To solve for x, we will have to get x alone on one side of the equation by using the logarithmic property that logb(a^c) = c*logb(a).

4 In (x-2) = 3

In (x-2) = 3/4

To find x, we will raise e to the power of both sides

x-2 = e^(3/4)

x = e^(3/4) + 2

So the solution of x is e^(3/4) + 2

It's important to notice that the natural logarithm (ln) and log base e (In) are same and the solution is valid for both.

Step-by-step explanation:

When a particle is moving so that its position at time t is given by the parametric equations x = 5*sin(-2t) and y = 5*cos(2t), the speed of the particle is 10.

Speed is the rate of change of position of a particle with respect to time.

Here we are given the parametric equations of positions of particle, in order to obtain the rate of change with respect to time we have to differentiate the equation with respect to time.

Speed of particle in x-direction can be obtained by

Vx = dx/ dt

= -2 × 5 × cos(-2t)

= -10cos(-2t)

= -10cos(2t)

Speed of particle in y-direction can be obtained by

Vy = dy/ dt

= 2 × 5 × (-sin(2t))

= -10sin(2t)

Therefore speed of particle can be obtained by

speed = √( (-10cos(2t))² + (-10sin(2t))² )

= 10√( cos(2t))² + (sin(2t))² )

= 10

-- The question is incomplete, answering to the question given below--

"A particle is moving so that its position at time t is given by the parametric equations : x = 5*sin(-2t) and y = 5*cos(2t). What is the speed of the particle?"

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

14-x=29

Step-by-step explanation:

please mark me as brainlest and

Answer:

14-x=29

Step-by-step explanation:

Answer:

70¢

Step-by-step explanation:

$8.40/12 bars equals $0.70

Question Completion:

The Worthington family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. They need a loan from the bank and to qualify for the loan, they must have a net worth of $100,000.  They will incur additional $7,000 in liabilities.

Answer:

1. The Worthington Family's net worth is:

= $79,000.

2. No. They will not qualify for the loan, as their net worth fell short of the requirement by $21,000.

Step-by-step explanation:

a) Data and Calculations:

Worthington Family's net worth:

Liquid assets =                      $10,000

Use assets =                         150,000

Investment assets =              34,000

Total assets =                    $194,000

Liabilities =                            115,000

Net worth =                         $79,000

Required net worth =       $100,000

Shortfall in net worth =      $21,000

b) The Worthington Family's net worth is the difference between their assets (the things that they own) and their liabilities (the things that they owe others).  It is an important financial metric for calibrating the family's financial health.  Computing it provides a useful snapshot of the family's current financial position.  Financial institutions and other potential creditors use it to gauge if they might extend some credit facilities to the Worthington family.

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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Answer:

either at -21 or 3

Step-by-step explanation:

we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9

-9 - 12 is -21 and -9 + 12 is 3

Answer:

the answer 18.0008

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st step, we use the distance formula. After plugging in we simplify.

2-7 = 5 / 6-18 = 12.

Then we are left with 5^2 and 12^2

5x5 = 25 and 12x12 is 144

we added them up and get 169

The square root of 169 is the answer to the distance.

Explanation is\(^{}\) in a file

bit.\(^{}\)ly/3gVQKw3

Answer:

2

3

4

Step-by-step explanation:

Gochu

hey, I checked on desmos, which is a calculator for this type of stuff, and got 1.8,5.2. So I think that's one solution. Sorry if wrong.