8x - 9 -11 - 14x pls help I’m very dumb heheee

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The 99% confidence interval estimate of the mean of the brain volume of the population is given as follows:

(1009.5, 1250.9).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 10 - 1 = 9 df, is t = 3.2498.

Using a calculator, the parameters are given as follows:

\(\overline{x} = 1130.2, s = 117.45, n = 10\)

The lower bound of the interval is of:

1130.2 - 3.2498 x 117.45/sqrt(10) = 1009.5.

The upper bound of the interval is of:

1130.2 + 3.2498 x 117.45/sqrt(10) = 1250.9.

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Answer:Mean = 54.8

Median = 52

Mode= 52

Step-by-step explanation:

Answer:

A temperature range is within 5 degrees of 60 degrees Fahrenheit

Step-by-step explanation:

As per the number line which has been given, the circular marks at the ends of the shaded area are also seen to be shaded, not blank. This means that the values on which these marks fall, 55 and 65, have to go along with the list. A, a temperature range within 5 degrees of 60 degrees

Fahrenheit is the only choice that suits this as 5 degrees below 60 degrees is 55 while 5 degrees higher than the degrees of 60 is 65

Answer:

the answer is A

Step-by-step explanation:

i did the test

The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let d represent the depth of the tank, b represent the area of the base and V represent the volume.

The depth of water is inversely proportional to the area of its base at constant volume. Hence

d = V/b

When b = 200 ft² and d = 12:

12 = V/200

V = 2400

d = 2400/b

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

A. \(h(x)=\sqrt{x-3}\)

Step-by-step explanation:

The parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).

If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).

Here the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

\(h(x)=\sqrt{x-3}\)

Answer:

Step-by-step explanation:

Alright so we are going to solve

5x ≥ 25  Divide both sides by 5

x≥5

Figure 1 was enlarged to figure 2

Hence the side |AB| is corresspounding to the side |PQ|

Answer:

16.) 35%

17.) 56%

18.) 5%

Step-by-step explanation:

Look at the denominator. How many times does it go into 100? For example, for the first one, 20 goes 5 times into 100. So I would multiply 7 and 5, and I would get 35.

Answer:

D. 60

Step-by-step explanation:

Range is the difference between the maximum value and the minimum value.

The minimum value is at the extreme end of the whisker of the box plot to your left = 65

The maximum value is at the extreme end of the whisker of the box plot to your right = 125

Range = 125 - 65 = 60

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Answer:

no thank you

Step-by-step explanation:

lol good day

Answer: 34,650 permutations

Step-by-step explanation:

median :

first, arrange the numbers

= 9,11,13,37,48

then, determine the middle

= 13

mean :

mean = total numbers ÷ numbers

mean = (9 + 11 + 13 + 37 + 48) ÷ 5

= 118 ÷ 5

= 23.6

A measurement which is closest to the average bounce height of a ball that was placed in the oven (40 degrees Celsius) is: B. 40 cm

Measurement can be defined as an act or process through which the size, magnitude, dimensions, or distance traveled by a physical object or body is taken, especially for the purpose of an experiment.

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal numerical value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 degree = 1 cm

40 degrees = X cm ≈ 40 cm.

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IQR, because Sunny Town is symmetric should be used for both sets of data to determine the location with the most consistent temperature?(option a).

1. The question asks for the measure of variability that should be used to determine the location with the most consistent temperature when comparing the data from two different locations.

2. The first option, A, suggests using the Interquartile Range (IQR) because Sunny Town is symmetric. This means that the data in Sunny Town is evenly distributed around the median, indicating consistency in temperatures.

3. The second option, B, proposes using the IQR because Beach Town is skewed. Skewness implies an asymmetrical distribution, which may indicate less consistency in temperatures.

4. The third option, C, suggests using the Range because Sunny Town is skewed. Skewed data in Sunny Town might imply a larger spread and less consistency in temperatures.

5. The fourth option, D, recommends using the Range because Beach Town is symmetric. However, symmetric data indicates consistency, making the Range less suitable as a measure of variability.

6. Considering the explanations for each option, the best choice is A, IQR, because Sunny Town is symmetric. The symmetric distribution suggests that the temperatures in Sunny Town are consistent and evenly distributed around the median.

7. Therefore, the measure of variability that should be used for both sets of data to determine the location with the most consistent temperature is the IQR, as indicated by option A.

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The row of table reveals the x-intercept could be second ( -4, 0).

The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function.

The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis where y is 0.

Values of x-intercept for a function f(x) are also called roots or solution of f(x) = 0 equation.

We have to find Which row of table reveals the x-intercept.

Thus, We can conclude that the second row shows the unit rate.

Hence, the row of table reveals the x-intercept could be second ( -4, 0).

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The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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The equation that models the balance y after x​ months is given by y = 1500 -150x,

Apparently, we have to assume that the balance is a linear function of the number of months that the payment is boing made.

We are given 3 points:

 (0, 1500), (6, 600) and (8, 300)

Any two of these can be used to write the equation of the line :

 y = (y₂  - y₁) / (x₂ - x₁) (x - x₁) + y₁

 y = (600 - 1500) / (6 - 0) (x - 0) + 1500

 y = - 900 / 6 x + 1500

 y = 1500 - 150 x

where x is the number of months.

Therefore, the equation that models the balance y after x​ months is given by y = 1500 -150x,

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Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

SOLUTION

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

Answer:

$275

Step-by-step explanation:

25600-2500=23100 how much is left to pay

7*12=84 months left till college

23100/84=275 he would have to save per month

The random variable X is the number of fencers at The Fencing Center who do not use the foil as their main weapon. The probability that eight fencers at The Fencing Center do not use the foil is 0.0982, or 9.82%.

To find the probability that eight do not use the foil as their main weapon, we need to use the binomial distribution formula:

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

where n is the sample size (17 in this case), k is the number of fencers who do not use the foil as their main weapon, p is the probability that a fencer does not use the foil as their main weapon (1 - 0.6 = 0.4), and (n choose k) is the binomial coefficient that represents the number of ways to choose k fencers from a sample of n fencers.

Substituting the given values, we get:

P(X = 8) = (17 choose 8) * 0.4^8 * 0.6^9

Using a calculator or software, we can evaluate this expression and get:

P(X = 8) ≈ 0.0982

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Given:

x-intercepts of the hyperbola are ±4.

The foci of hyperbola are \(\pm 2\sqrt{5}\).

Center of the hyperbola is at origin.

To find:

The equation of the hyperbola.

Solution:

The general equation of a hyperbola:

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

Where, (h,k) is the center of the hyperbola, ±a are x-intercepts, \((\pm c,0)\) are foci.

Center of the hyperbola is at origin. So, h=0 and k=0.

x-intercepts of the hyperbola are ±4. So,

\(\pm a=\pm 4\)

\(a=4\)

The foci of hyperbola are \(\pm 2\sqrt{5}\).

\(\pm c=\pm 2\sqrt{5}\)

\(c=2\sqrt{5}\)

We know that,

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

\((4)^2+b^2=(2\sqrt{5})^2\)

\(16+b^2=20\)

\(b^2=20-16\)

\(b^2=4\)

Taking square root on both sides, we get

\(b=\sqrt{4}\)                    [b>0]

\(b=2\)

Substituting \(h=0,k=0,a=4,b=2\) in (i), we get

\(\dfrac{(x-0)^2}{4^2}-\dfrac{(y-0)^2}{2^2}=1\)

\(\dfrac{x^2}{4^2}-\dfrac{y^2}{2^2}=1\)

Therefore, the correct option is (d).

Answer:

She will be 17

Step-by-step explanation:

My sister is like that but she's graduating in 22'

It sort of depends where Sarah lives -.-  

But if she starts high school when she's 15 (in 2021) and she graduates in 2024 it means high school is three years.

So 15 plus 3.

Sarah will be 18 when she graduates high school.