help please please guys

Answer:

36,000

Step-by-step explanation:

So all we have to do is divide 360 by 0.01. that equals 36,000

The solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4) is x < –2.5.

1. Start by simplifying both sides of the inequality:

  15.3 + 11.22x > -14.25 - 10.2x - 24

2. Combine like terms:

  11.22x + 10.2x > -14.25 - 24 - 15.3

3. Further simplify:

  21.42x > -53.55

4. Divide both sides of the inequality by 21.42 to solve for x:

  x > -53.55 / 21.42

5. Calculate the result:

  x > -2.5

6. Therefore, the solution set is x < -2.5, indicating that any value of x less than -2.5 will satisfy the given inequality

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Answer:

(–2.5, ∞)

Step-by-step explanation:

took on edg

Answer:

A unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.

The piecewise function is defined as follows:

The domain of the function is defined as follows:

(∞, 1) U [2, ∞).

A piecewise function is a function that has multiple definitions, based on the input of the function.

The function in this problem has three definitions, on the intervals given as follows:

For x < -1, the function is linear and increasing, with a slope of 2, hence:

y = 2x + b.

When x = -2, y = -4, hence the intercept b is given as follows:

-4 = 2(-2) + b

b = 0.

Thus:

y = 2x, x < -1.

For -1 <= x < 1, the function is constant at y = 1, hence:

y = 1, -1 <= x < 1

For the last interval, the function is linear and increasing, with a slope of 1, hence:

y = x + b.

When x = 2, y = 1, hence the intercept b is given as follows:

1 = 2 + b

b = -1.

Hence:

y = 2x - 1, x >= 2.

The domain is the set containing the values of x that the function is defined, hence it is basically all real values except for the interval [1,3).

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Answer:

double

Step-by-step explanation:

double the teaspoons so you can get the amount you need for 2 pints

double  the amount and then divided it

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Hi there the answer is rectangular prism!

Step-by-step explanation:

hope this helps

Answer:

\(tan(A) = \frac{3}{4}\)

Step-by-step explanation:

Given

Right-angled triangle ABC

\(c = 10\)  \(b = 8\)

Required

Calculated tan(A)

First, we calculate the length of a.

Since the triangle is right-angled at C, then c is the hypotenuse and side a is the opposite of A.

So, we have:

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

\(10^2 = a^2 + 8^2\)

\(100 = a^2 + 64\)

\(a^2 = 100 - 64\)

\(a^2 = 36\)

Take square roots

\(a = 6\)

So:

\(tan(A) = \frac{a}{b}\)

\(tan(A) = \frac{6}{8}\)

\(tan(A) = \frac{3}{4}\)

a) As per the given budget, the amount of interval that would be better for the city is 95% confidence interval.

b) The interval that be worse for the planners is depends on sample size

c) They achieve an interval estimate that would better serve their planning needs is depends on margin of error

d) The number of days worth of data should they collect to have confidence of estimating the true mean to 30 days

To obtain a better estimate, the city can create a confidence interval, which is a range of values that is likely to contain the true population mean with a certain degree of confidence.

However, there are also some disadvantages to using a confidence interval. The interval estimate may be wider than a point estimate, which means that the budget planners may have to allocate a larger budget to account for the uncertainty in the estimate.

To achieve a better interval estimate, the city could increase the sample size or reduce the variability of the data. Increasing the sample size reduces the margin of error and increases the precision of the estimate.

Finally, to determine how many days' worth of data the city should collect to estimate the true mean with a certain degree of confidence, the city would need to consider the desired level of precision, the variability of the data, and the desired level of confidence.

Typically, a larger sample size will provide a more accurate estimate, but this also depends on the variability of the data. In general, a sample size of at least 30 is recommended for a reasonably accurate estimate.

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The equation that models the position of the weight at time t seconds is y(t) = 2.5 sin (πt) + 2.5

The equation that models the position of the weight at time t seconds is

y(t) = 2.5 sin (πt) + 2.5

The position of the weight at time t seconds can be modeled by a sinusoidal function of the form

y(t) = A sin (ωt + φ) + C

where

A is the amplitude of the oscillation (half the distance between the highest and lowest points), which is 2.5 in.

ω is the angular frequency of the oscillation, which is 2π divided by the period (the time for one complete cycle), which is 2 seconds. So, ω = 2π/2 = π radians/second.

φ is the phase angle, which depends on the initial position of the weight. We can assume that the weight starts at the highest point (the crest), so φ = 0.

C is the vertical shift, which is the midpoint of the oscillation (half the distance between the highest and lowest points added to the starting point). So, C = 2.5 + 0 = 2.5 in.

Putting it all together, we get

y(t) = 2.5 sin (πt) + 2.5

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The graph of the function f(x) = (2)ˣ is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = (2)ˣ

The above function is an exponential function that has been transformed as follows

Initial value = 1

Growth factor = 2

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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answer 60°

solve:180°-(60°+60°)

180°-120°

60°##

Answer:

Just do 60 divided by 10

Step-by-step explanation:

60=10 x  10 times 6 = 60 so x=6

Answer: \(x=6\)

Divide both sides by 10

\(10x=10=60/10\\x=6\)

Answer:

third option

Step-by-step explanation:

| - 2x | = 4

the absolute value function always gives a positive value, however, the expression inside can be positive or negative , that is

- 2x = 4 ( divide both sides by - 2 )

x = - 2

or

- (- 2x) = 4

2x = 4 ( divide both sides by 2 )

x = 2

solutions are x = - 2 , x = 2

these are illustrated on the number line by solid circles at - 2 and 2

this is indicated on the third number line

Number line represents the solutions to |–2x| = 4 is third number line (x1 = -2, x2= 2).

Solving steps :

1. Calculate

Calculate the absolute value.

|-2x| = 4

Use |ab| = |a| * |b| to transform the expression.

|-2x|

|-2| * |x|

The absolute value of any number is always positive.

2 * |x|

We did it!

|-2x| = 4

2 * |x| = 4

2. Divide both sides

Divide both sides of the equation by 2.

2 * |x| = 4

2 * |x| ÷ 2 = 4 ÷ 2

Any expression divided by itself equals 1.

|x| = 4 ÷ 2

Calculate the quotient.

|x| = 2

3. Separate into possible cases

Use the absolute value definition to rewrite the absolute value equation as two separate equations.

|x| = 2

x = 2

x = -2

4. The equation has 2 solutions.

x1 = -2, x2= 2

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Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:

2,320,000

Step-by-step explanation:

10,000,000

                   -

7,680,000

__________

2,320,000

Answer:

2,320,000

Step-by-step explanation:

You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.  

10,000,000 - 7,680,000 = 2,320,000

Answer:

12

Step-by-step explanation:

4.18/6  *  5 over 5

72/6 *5 over 5

72/6 * 5 divided by 5

12.5 divided by 5

12 times 5 over 5

60/5

60 divided by 5

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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Answer:

Make the -4 exponent in the denominator positive.

Answer:

Step-by-step explanation:

1. Set up an equation

This may be a word problem, but it can definitely be set up into an equation.

For this equation, we can use x as the number.

One-third of x, or x/3

IS (which can also mean equal, =)

12 less than the number itself, x-12

When you put these together you get:
x/3=x-12

We can then solve this equation like normal.

1. Multiply both sides by 3 to cancel the division

x=3x-36

2. subtract 3x on both sides

-2x=-36

3. Now divide each side by -2 to get rid of x's coefficient

x = 18

Test: We can check ourselves to see if this is correct.

1/3 of 18 is 6.

6 is also 12 less than 18.

This proves that 18 is the number.

Answer

2

Step-by-step explanation:

If (-2, 2) is a plotted point for the function f(x), it means f(-2) = 2.

Answer:

3

Step-by-step explanation:

The quotient of two irrational numbers will remain an irrational number. Then the correct option is C.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

If p and q are non-zero rational numbers.

And s and t are irrational numbers.

We know that the sum and the product of the two rational number will always be the rational number.

And the division of the two irrational number will always be an irrational number.

The quotient p/q is irrational.

Then the correct option is C.

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Answer:

50 minutes / 2 hours

Step-by-step explanation:

which is 25 minutes per hour

The rule of (x, y) → (-x, y), which is reflection over y-axis.

Given that, ΔABC maps to triangle ΔA'B'C'.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).

Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.

Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.

From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.

Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.

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Answer: 8.06 Inches

The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.

Answer:

3 beause when you dividend it -5.6+4(3) .

The area of the walkway is 50 ft².

Given:

Width of the walkway = 5 ft

Length of the walkway = 27 ft

1. Outer Rectangle:

The outer rectangle represents the overall dimensions of the walkway.

Area of the outer rectangle = Length * Width

= 27 ft * 5 ft

= 135 ft²

2. Inner Rectangle:

To find the dimensions of the inner rectangle, we need to subtract twice the width of the walkway from the original dimensions.

Length of the inner rectangle = Length - 2 * Width

= 27 ft - 2 * 5 ft

 = 27 ft - 10 ft

= 17 ft

Width of the inner rectangle = Width - 2 * Width

= 5 ft - 2 * 5 ft

= 5 ft - 10 ft

= -5 ft (Note: The width cannot be negative, so we take the absolute value.)

Area of the inner rectangle = Length * Width

= 17 ft * 5 ft

= 85 ft²

3. Area of the Walkway:

Area of the walkway = Area of the outer rectangle - Area of the inner rectangle

= 135 ft² - 85 ft²

= 50 ft²

Therefore, the area of the walkway is 50 ft².

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Note that the phrases that best describe the graph of f(x) = |x| are:

1) Note that the function given above is an Absolute Function, and as given in the attached graph, you'd notice that the graph of an absolute function is always V-shaped. Thus, option A is true.

2) One must also note that where the sign before the modulus is positive, then the graph opens up (as in the case above) otherwise it opens down. Thus, option C is correct.

3) If (x,-y) lies on the function, then f(x) is in proportion with respect to the x-axis. If (-x,y) lies on the function, then f(x) is in proportion with respect to the y-axis.

Put (x,-y) in the given function.

-y = |x| ⇒ -y ≠ y

Thus,  f(x) is not symmetric with regard to the x-axis.

Placing (-x,y) in the given function, we have

y = |x| ⇒ y = y

Because the point (-x,y) lies on the function, therefore (fx) is symmetric with regard to the y-axis. Hence, Option F is correct.

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