Solve for x.
6 - 4x = -22

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

$432

Step-by-step explanation:

9.00 times 48

Answer: 48* 9.00= 43200

Step-by-step explanation: 48 *9.00=43200

Probabilities are used to determine the chance of events.

Let:

\(A \to\) Japanese American

\(B \to\)  Smokes 21 to 30 cigarettes per day

The meaning of A u B is:

We want to select a Japanese American or someone whose smoking level is 21-30 cigarettes per day

The probability is calculated as follows:

\(P(A\ u\ B) = \frac{n(A) + n(B) - n(A\ n\ B)}{Total}\)

From the table (see attachment), we have:

\(n(A) = 26078\)

\(n(B) = 15273\)

\(n(A\ n\ B) = 4715\)

\(Total = 100450\)

So, we have:

\(P(A\ u\ B) = \frac{26068+ 15273 - 4715}{100450}\)

\(P(A\ u\ B) = \frac{36626}{100450}\)

\(P(A\ u\ B) = 0.365\)

Hence, the probability is 0.365

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Answer:

Step-by-step explanation:

40/30=409

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer:

a triangle that may not have the same dimensions as the bases

Step-by-step explanation:

The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.

Applying the tangent ratio, the value of x, to the nearest degree is determined as: 41.8 degree.

The formula we would use to find the value of x is the tangent ratio, which is expressed as:

tan ∅ = length of opposite side / length of adjacent side.

reference angle (∅) = x

Length of opposite side = 17

Length of adjacent side = 19

Plug in the values:

tan x = 17/19

x = tan^(-1)(17/19)

x ≈ 41.8 degree (to nearest tenth of a degree)

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Answer:

I cannot change what is the truth

Step-by-step explanation:

attempt to change the truth would resulted in dinaur catastrophe

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

Variables are not fixed while quantitative variables are fixed, is the right answer.

Step-by-step explanation:

The variables are the values that are not fixed and it changes with the mathematical calculations. For example, x,y, z, etc.are the variables whose values are not numeric and it can be changed. While the quantitative variable is the numeric values that are fixed and contain a unit along with the number. For example, the grades of students, 1, 4.5, 6, etc. Here these are quantitative variables because these values are numeric values and fixed values.

The derivative of y with respect to x in the equation is: dy/dx = -88x^7 / (132x^21y + 3y^2)

It should be noted that to find dy/dx, we need to differentiate both sides of the equation with respect to x, using the chain rule for the second term:

11x^8 + 6x^22y + y^3 = 18

Differentiating both sides with respect to x:

(11x^8)' + (6x^22y)' + (y^3)' = 0

Using the power rule, we get:

88x^7 + 132x^21y dy/dx + 3y^2 dy/dx = 0

Now, we can factor out dy/dx:

dy/dx (132x^21y + 3y^2) = -88x^7

dy/dx = -88x^7 / (132x^21y + 3y^2)

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

No

Step-by-step explanation:

I dont think rational numbers can be negative. Also the values are not repeating.

Answer:

the answer is 14% l hope that helps

It drains at a constant rate using the first line find the rate per hour:

-3.5/2 = -1.75 per hour

Now to find the missing totals multiply the hours by the rate:

-1.75 x 9 = -15.75

-1.75 x 23 = -40.25

Now to find the change between the two times subtract:

-40.25 - -15.75 = -24.50

Answer:

Low statistical power could be considered a limitation in statistics because statistical power refers to the probability of correctly finding adequate support for a research hypothesis.

If a statistical test has low power, then it is limited in finding adequate support.

Answer:

I dont know how to write the answer but i hope my math helped.

Step-by-step explanation:

192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.

Answer:

32x>192

Step-by-step explanation:

I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)

Answer:

X=−4,y=2

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

population in 1 year= 24400*105%=25620

population in 2 year= 25620*105%=26901

Answer:

As x→∞, y→-∞

Step-by-step explanation:

Notice how as the x values increase, the y values get closer to negative infinity. As the x values decrease into the negatives, the y values get closer to positive infinity.

Answer:

to convey the parametric expression to be use the explosions

Lower estimate obtained would be = 35.4 liters

Upper estimate obtained would be = 35.4 liters

What is Estimate?

Estimation finds an estimate or approximation.

An approximation is a value, amount, or size closest to the true value found by rounding off.

To find upper and lower estimates for the total quantity of erupted materials after six seconds using six equal subintervals, we can use the left endpoints and the right endpoints of the subintervals to find the estimates.

The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. Since there are six subintervals, we have:

lower estimate = (28 + 18 + 34 + 48 + 54 + 60) * (6/6) = 324 tons

The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval. We have:

upper estimate = (18 + 34 + 48 + 54 + 60 + 60) * (6/6) = 324 tons

To use the midpoint rule to estimate Q(6) using three equal subintervals, we need to find the midpoints of the subintervals. The subintervals are [0,2], [2,4], and [4,6]. The midpoints are 1, 3, and 5. The value of r(t) at these points is 18, 48, and 54 respectively. The midpoint rule estimate is given by:

Q(6) = (18 + 48 + 54) * (6/3) = 180 tons

To find lower and upper estimates for the total amount of oil leaked over the interval [0, 10] using five equal subintervals, we can again use the left endpoints and the right endpoints of the subintervals to find the estimates. The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval.

The subintervals are [0,2], [2,4], [4,6], [6,8], and [8,10]. The left endpoints are 0, 2, 4, 6, and 8, and the right endpoints are 2, 4, 6, 8, and 10. The lower estimate is obtained by using the left endpoints:

lower estimate = (8.6 + 7.5 + 6.7 + 6.4 + 5.7) * (10/5) = 35.4 liters

The upper estimate is obtained by using the right endpoints:

upper estimate = (7.5 + 6.7 + 6.4 + 5.7 + 5.1) * (10/5) = 35.4 liters

Hence, The Lower estimate obtained would be = 35.4 liters and

Upper estimate obtained would be = 35.4 liters

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To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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The sample size and sample proportion have a substantial impact on whether a sample proportion shows significance, while the number of simulated samples plays a lesser role, as long as an adequate number of simulations are performed (such as 5,000 or more).

To find the p-value using StatKey with at least 5,000 simulated samples and determine whether there is evidence that the coin is biased at a 5% significance level, follow these steps:

1. Determine the sample size (n), sample proportion (p), and number of simulated samples (at least 5,000).

2. Use StatKey to perform the simulation. Input the sample size, sample proportion, and number of simulated samples in the randomization distribution settings.

3. Obtain the p-value from the output generated by StatKey. The p-value represents the proportion of simulated samples with a sample proportion as extreme or more extreme than the observed one.

4. Compare the p-value with the 5% significance level. If the p-value is less than or equal to 0.05, there is evidence that the coin is biased, and you reject the null hypothesis. If the p-value is greater than 0.05, there is not enough evidence to suggest the coin is biased, and you fail to reject the null hypothesis.

Now, let's consider each factor's impact on whether a sample proportion shows significance:

1. The sample size: A larger sample size increases the power of the test and makes it more likely to detect a significant effect if one exists. Smaller sample sizes may not provide enough information to accurately assess whether the coin is biased or not.

2. The sample proportion: A sample proportion farther from the expected value (0.5 for a fair coin) makes it more likely to find significance, as the difference between the observed proportion and the expected proportion is larger.

3. The number of simulated samples in the randomization distribution: Using a larger number of simulated samples increases the accuracy of the p-value estimate. However, once a certain threshold is reached (e.g., 5,000 samples), additional simulations have diminishing returns and do not significantly impact the p-value or the test's conclusions.
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Answer:

A down payment is a portion of the purchase price that reduces the loan amount.

Step-by-step explanation:

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

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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