Pls help find the value of x

Answer:

n^2+3n-18

Step-by-step explanation:

Hope this helps :)

Answer:

Zeros: None

Domain: (−∞,−1] U [1,∞)

minimum: -π/2

maximum: π/2

Step-by-step explanation:

Answer: 1,2,4,5

Step-by-step explanation:

The counter-example that proves the statement is false for x = -1.

To prove that the statement is false, we need to find a counter-example, which is a value of x that makes the inequality false.

First, let's rewrite the inequality using the exponential form:

log(3x² + 5x + 3) ≥ 0

This means that the expression inside the logarithm must be greater than or equal to 1:

3x² + 5x + 3 ≥ 1

Simplifying:

3x² + 5x + 2 ≥ 0

Now, we need to find a value of x that makes the inequality false. One way to do this is to look for a value of x that makes the left-hand side of the inequality negative. For example, if we substitute x = -1, we get:

3(-1)² + 5(-1) + 2 = 0

So, the left-hand side of the inequality is equal to 0, which is not greater than or equal to 1. Therefore, the inequality is false for x = -1.

In conclusion, we have found a counter-example (x = -1) that proves the original statement is false.

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Answer:

640 metres

Step-by-step explanation:

Area of a rectangular field = 24000 square metres

Width of a rectangular field = 120 metre

Also,

Area of a rectangular field = Length × Breadth

24000 = Length × 120

Length = \(\frac{24000}{120}=200\) metre

Length of wire required to fence the field = Perimeter of the rectangular field

= 2 (length + width)

= 2 (200 + 120)

= 2 (320)

= 640 metres

Answer:

Ans of A is A

Ans if B is C = 14

Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

a²-10a+24+6b-9b²​

(a-6)(a-4)+3b(2-3b) but this is incorrect

Therefore, the expression is not factorable with rational numbers

Answer:

0.67

Step-by-step explanation:

2/3= to 0.66 which means 0.67 would be technally larger than 0.66

a) We can say with 95% confidence that the true mean kilowatt-hours used by all six-room homes falls between 6.005 and 9.195 thousand kilowatt-hours.

b) We can say with 95% confidence that a particular six-room home will use between 3.283 and 11.917 thousand kilowatt-hours.

a. The first question asks us to determine a 95% confidence interval for the mean kilowatt-hours used by all six-room homes. To do this, we need to calculate the sample mean (x) and the sample standard deviation (s) for the kilowatt-hours used by the six-room homes in our sample. We can then use the t-distribution and the formula:

x ± tα/2 (s/√n)

where tα/2 is the t-value for our desired confidence level (in this case, 95% with 9 degrees of freedom), s is the sample standard deviation, and n is the sample size.

Using the data given, we can calculate x = 7.6 and s = 1.551. We can then find the t-value using a t-table or a calculator, which is approximately 2.306. Plugging these values into the formula gives us:

7.6 ± 2.306 x (1.551/√10)

which simplifies to:

(6.005, 9.195)

b. The second question asks us to determine a 95% prediction interval for a particular six-room home. A prediction interval is similar to a confidence interval, but it takes into account both the variability of the sample and the variability of a new observation. To calculate the prediction interval, we can use the formula:

x ± tα/2 (s√1 + 1/n + (x₀ - x)²/((n-1)s²))

where x is the predicted value of kilowatt-hours for a new observation, x₀ is the number of rooms for that observation, and all other variables are the same as in the previous formula.

Using the data given, we can calculate x and s for all six-room homes as before. We can also assume that the predicted value for a new observation with six rooms is simply the sample mean for six-room homes (i.e., x = 7.6). We can then find the t-value using a t-table or a calculator, which is approximately 2.306. Plugging these values into the formula and setting n=10 (the sample size) gives us:

7.6 ± 2.306 x (1.551√1 + 1/10 + (6-7.6)²/((10-1)(1.551)²))

which simplifies to:

(3.283, 11.917)

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If the volume of a sphere is decreasing at a constant rate of 55 cubic feet per minute. The volume of a sphere  is  0.036.

Using this formula to find the  volume of a sphere

V = 4/3 π r³

Taking the derivative with respect to time:

dV/dt = 4π r² dr/dt

Let plug in the formula

55 = 4π (11)² dr/dt

dr/dt = 55/ (484π)

dr/dt = 55/1,520.5308

dr/dt = 0.036

Therefore the  volume of a sphere is 0.036.

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Answer:

5/14 = 0.36

7/10 = 0.7

5/6 = 0.83

11/15 = 0.73

19/21 = 0.9

(round to the tenth)

so the answer is;

5/14, 7/10, 11/15, 5/6, 19/21

Step-by-step explanation:

Hope it helps!

Answer: 17

Step-by-step explanation:

substitute -3 for a and -5 for b. the equation will be\(\frac{(-3)^{2}+(-5)^{2} }{-3-(-5)}\). then when you simplify, you will get \(\frac{9+25}{-3+5}\). finally, add and you will get \(\frac{34}{2}\) which is 17.

Answer:

all work is pictured and shown

Answer:

(4,30)

Step-by-step explanation:

3x+y=42

y=8x-2

3x+8x-2=42

11x-2=42

+2 +2

11x=44

÷11 +11

x=4

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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The value of  Pw(w) and Fw(w) are (0, 0.4, 0.8, 1) for different random variable X. And E[W] = -E[X] = -0 = 0.

(a) To find Pw(w), we need to determine the probability that the transformed random variable W takes on a specific value w. In this case, W = -X.

Since W is the negative of X, the probability that W equals w is equal to the probability that X equals -w.

Pw(w) = P(X = -w)

Considering the CDF of X, we have the following intervals:

For -∞ < x < -3: Fx(x) = 0

For -3 < x < 5: Fx(x) = 0.4

For 5 < x < 7: Fx(x) = 0.8

For 7 < x < ∞: Fx(x) = 1

Since W = -X, we can rewrite the intervals as:

For ∞ < w < 3: Fw(w) = 0 (since X = -w is not within the range of X)

For -3 < w < -5: Fw(w) = 0.4

For -5 < w < -7: Fw(w) = 0.8

For -∞ < w < -7: Fw(w) = 1

(b) To find Fw(w), we need to determine the cumulative distribution function (CDF) of W. From the previous calculations:

For ∞ < w < 3: Fw(w) = 0

For -3 < w < -5: Fw(w) = 0.4

For -5 < w < -7: Fw(w) = 0.8

For -∞ < w < -7: Fw(w) = 1

(c) To find E[W], we need to calculate the expected value of W. Since W = -X, we can express E[W] as:

E[W] = E[-X] = -E[X]

We can use the CDF Fx(x) to find the expected value of X:

E[X] = ∫ x * f(x) dx

Using the intervals and probabilities from the CDF:

E[X] = (-3 * 0.4) + (0 * (0.8 - 0.4)) + (6 * (1 - 0.8))

E[X] = -1.2 + 0 + 1.2

E[X] = 0

Therefore, E[W] = -E[X] = -0 = 0.

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Answer:

$9,763

Step-by-step explanation:

Using the compund interest formula;

A = P(1+r)^t

A is the amount = $10,200

rate r = 6.5%= 0.065

time t = years

n = 1/365 ((daily compounding)

Substitute into the formula and get Pincipal P

10,200 = P(1+0.065(365))^5/365

10200 = P(1+23.725)^0.01369

10200 = P(24.725)^0.01369

10200 = P(1.0448)

P = 10200/1.0448

P = 9,762.6

Hence the amount invested is $9,763 to nearest dollars

Answer:

Answer is y = 25/4

Answer:

See below.

Step-by-step explanation:

You can graph by finding ordered pairs for each function.

Answer:

x = 11 , z = 116

Step-by-step explanation:

(9x - 15) and (5x + 9) are vertically opposite angles and are congruent, then

9x - 35 = 5x + 9 ( subtract 5x from both sides )

4x - 35 = 9 ( add 35 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

5x + 9 = 5(11) + 9 = 55 + 9 = 64

z and 5x + 9 are adjacent angles on a straight line and sum to 180°, that is

z + 64 = 180 ( subtract 64 from both sides )

z = 116

Answer:

Depending depending whether your work is in relation to euclidean geometry. You can use the properties of straight lines in order to get your answer.

Step-by-step explanation:

The bearing of point A from point O is 256°.

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

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Exterior angle of a regular n-sided polygon = 360°/n

Interior angle = 180° - 360°/n

So, with 360/n = (1/8)(180 - 360/n)

360/n = 180/8 - 360/(8n)

(360/n)*(9/8) = 180/8

2*9/n = 1

n = 18

Answer:

1. corresponding

2. alternate interior

3. supplementary

4. interior

Step-by-step explanation:

1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.

2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.

3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.

4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.

Hope this helps you out!! Have an awesome day ;)

Answer:

false

Step-by-step explanation:

Okay so we plug in the values for x and y to make the equation:

1 - 2 x -6 = 4

And then we just solve the left side:

2 x -6 = -12

1 - -12 = 1 + 12 = 13

So this is false

Answer:

Going clockwise from top left corner to bottom left corner answers are

1

2a³/4

x² + x -2

2x² -6x

Step-by-step explanation:

Area of rectangle is L x B where L is the length and B is the breadth

Going clockwise from upper left corner,

We simply multiply the numerators and denominators separately. Then express the numerator product/denominator product

1. Ans = 3/7 x 21/9 (3 x 21)/(7 x 9) = 63/63 = 1

2. Ans = (2a²/b) x (ab/4) = (2a²)(ab)/b(4) = 2a³b/4b = 2a³/4

3. Ans = (x+2)(x-1) = x² -1x + 2x -2 = x² + x -2  (Use the FOIL method)

4. Ans = (x-3)(2x) = 2x(x) -2x(3) = 2x² -6x

The website charges $x dollars for individual songs and $y dollars for entire albums. For person a, $x=$4.32 and $y=$21.60. For person b, $x=$8.48 and $y=$25.44.

To find out how much the website charges to download a song or an entire album, we need to find the values of $x$ and $y$. To do this, we can use the information given in the question. Person A paid $25.92 to download 6 individual songs and 2 albums. This means that the cost of the 6 individual songs must be $x$, and the cost of the 2 albums must be $y$. Therefore, $25.92 = 6x + 2y. Similarly, for Person B, we can calculate that $33.93 = 4x + 3y. We can then use simultaneous equations to solve for $x$ and $y$. Once we have the values of $x$ and $y$, we can conclude that the website charges $x$ dollars for individual songs and $y$ dollars for entire albums. In this case, the website charges $x=$4.32 for individual songs and $y=$25.44 for entire albums.

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Answer:

127.24

Step-by-step explanation:

A= 3.14(pie) r^2

A=3.14(pie) 9^2

A=254.47 ÷2

A= 127.24

Answer:

43200 seconds

Step-by-step explanation:

Multiply by 60 and multiply that by 60

Answer:

43200 seconds

Step-by-step explanation: