help me solve this asap emergency

Hey there! I'm happy to help!

The domain is any possible number you can input into the function to get a real output. The domain of h just means the domain of this entire function, which is called h.

Let's look at the answer options.

OPTION A

All real values of x such that x≠0.

The only way to make it so that we do not have a real output is if we get a negative square root. You cannot multiply any number by itself to get a negative number unless you use imaginary numbers, but using imaginary numbers makes our output not real.

Anyways, plugging in 0 would give us √-10, which is not a real number. That part is correct, but this option says ALL REAL NUMBERS except for 0. The problem is is that we can take any number less than ten and plug it in and we would get a negative square root, a fake number. So, this option is incorrect.

OPTION B

All real values of x such that x≥10.

Let's say we use 10 for our x and plug it in. This gives us √0, which is 0, a real output. Anything bigger than this 10 will give us a real output as well, so this option is correct.

We don't even need to check the other options because we have already found the correct answer. C,D, and E are all incorrect though because they include values less ten, which would give us a negative square root, a fake number.

I hope that this helps! Have a wonderful day!

The given equation t = −4π/3 represents a reference number on the unit circle. To find the reference number t, we can simply substitute the given value of t into the equation.

In trigonometry, the unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. It is commonly used to represent angles and their corresponding trigonometric functions. The equation t = −4π/3 defines a reference number on the unit circle.

To find the reference number t, we substitute the given value of t into the equation. In this case, t = −4π/3. Therefore, the reference number is t = −4π/3.

The terminal point (x, y) on the unit circle can be determined by using the reference number t. The x-coordinate of the terminal point is given by x = cos(t) and the y-coordinate is given by y = sin(t).

By substituting t = −4π/3 into the trigonometric functions, we can find the values of x and y. Hence, the terminal point determined by t is (x, y) = (cos(−4π/3), sin(−4π/3)).

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Answer:

25j=800 i may be wrong

Step-by-step explanation:

The roots of the auxiliary equation are 1.

To find the roots of the auxiliary equation for the given homogeneous fourth-order linear differential equation with constant coefficients, we need to substitute y = \(e^{rx}\) into the differential equation, where r is an unknown constant.

This substitution yields the characteristic equation.

Substituting y = \(e^{rx}\)into the differential equation gives us:

\(e^{rx}\) = 5 - x + \(x^2\) + 9\(e^x\)

Next, we divide both sides by e^x to simplify the equation:

e^(rx - x) = 5 - x + \(x^2\)

Simplifying further:

\(e^{rx - x}\) = \(x^2\) - x + 5

Taking the natural logarithm of both sides to remove the exponential:

rx - x = ln(\(x^2\) - x + 5)

Combining like terms:

(r - 1)x = ln(\(x^2\) - x + 5)

Now, for the equation to hold for all x, the coefficient of x on the left-hand side must be zero, giving us the auxiliary equation:

r - 1 = 0

Solving for r:

r = 1

Therefore, the roots of the auxiliary equation are 1 (with multiplicity 4) since it is a fourth-order differential equation.

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The figure in the question is a box with dimensions of 6 in. by 2 in. by 9 in., which gives;

The dimensions of the box in the given figure are;

Length, L = 9 in.

Width, W = 2 in.

Height, H = 6 in.

The surface area, A, of a box is found using the following formula;

A = 2•L•W + 2•L•H + 2•H•W

Therefore;

A = 2×9×2 + 2×9×6 + 2×2×6 = 168

The volume of a box, V, is calculated as follows;

For the given figure, therefore;

V = 9 × 2 × 6 = 108

Cost of packaging per square inch, c = $0.004

Cost to package the figure, C, is therefore;

Which gives;

C = $0.004/in.² × 168 in.² = $0.672

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Answer:

20

Step-by-step explanation:

1111     <--- 1st row

1111     <---- 2nd row

1111      <--- 3rd row

1111     <----- 4th row

1111     <----- 5th row

use multiplication

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Let \(a\) be the first term in the sequence, and \(r\) the common ratio between consecutive terms. Let \(a_n\) denote the \(n\)-th term in the sequence. The first several terms are

\(\{a, ar, ar^2, ar^3, \ldots\}\)

and so the \(n\)-th term is given by \(a_n = ar^{n-1}\).

Let \(S_N\) denote the \(N\)-th partial sum of the series,

\(\displaystyle S_N = \sum_{n=1}^N ar^{n-1} = a + ar + ar^2 + \cdots + ar^{N-1}\)

Multiply both sides by \(r\).

\(r S_N = ar + ar^2 + ar^3 + \cdots + ar^N\)

Subtract this from, then solve for, \(S_N\).

\(S_N - r S_N = a - ar^N \implies S_N = \dfrac{a(1 - r^N)}{1 - r}\)

We know the infinite series converges, so \(|r|<1\), which means the \(S_N \to \frac a{1-r}\) as \(N\to\infty\). And since we know the infinite sum is 25, we have

\(\dfrac a{1-r} = 25 \implies a + 25r = 25\)

Meanwhile, the sum of the first 2 terms is

\(a + ar = 16\)

Solve for \(r\).

\(a + ar = 16 \implies ar = 16 - a \\\\ \implies r = \dfrac{16}a - 1\)

Substitute this into the other equation and solve for \(a\), then again for \(r\).

\(a + 25\left(\dfrac{16}a - 1\right) = 25 \implies a + \dfrac{400}a - 25 = 25 \\\\ \implies a - 50 + \dfrac{400}a = 0 \\\\ \implies a^2 - 50a + 400 = 0 \\\\ \implies (a-10) (a-40) = 0 \\\\ \implies a = 10 \text{ or } a = 40\)

\(\implies r = \dfrac{16}{10} - 1 = \dfrac35 \text{ or } r = \dfrac{16}{40} - 1 = -\dfrac35\)

We're given that the ration is positive, so \(r=\frac35\) and \(a=10\).

i) The fifth term in the sequence is

\(ar^{5-1} = 10 \left(\dfrac35\right)^4 = \dfrac{162}{125} = 1.296\)

ii) The sum of the first 4 terms is

\(\displaystyle S_4 = \sum_{n=1}^4 ar^{n-1} = \frac{a(1 - r^4)}{1 - r} = \dfrac{10\left(1 - \left(\frac35\right)^4\right)}{1 - \frac35} = \dfrac{544}{25} = 21.76\)

Recognizing that sin(30º) = 1/2, the exact value of sin(120º) is √3/2.

The exact value of sin(120˚) can be found by using the double angle formula for sine. The formula is:
sin(2θ) = 2sinθcosθ

Since we are given that sin(30˚) = 1/2, we can substitute 30˚ for θ in the formula to find sin(120˚):
sin(120˚) = 2sin30˚cos30˚
sin(120˚) = 2(1/2)(√3/2)
sin(120˚) = √3/2

Therefore, the exact value of sin(120˚) is √3/2.

Note that to solve this type of problem it is crucial to know different types of trigonometric identities.

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We have that the equation given by the Option A is:

y = 2x + 10

and the Option B equation is:

y = 3x

If we graph them, we will obtain the following figure:

The cost is the same when the two line intercept each other. Their interception at the tenth ride

When this happens the cost is $30

Answer: the total cost of both options is the same at the tenth ride

We have that the cheapest plan is always given by the line below.

Before the tenth ride:

the cheapest plan is the Plan B

After the tenth ride:

the cheapest plan is the Plan A

Since Plan A will be the cheaper in the future after Ride number 10, we can say that the cheapest plan is Plan B

By using first principle, the value of Dy/Dx is,

⇒ Dy/Dx = - 7 / x²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = 7 / x

Now, Differentiate the function with respect to x, we get;

⇒ y = 7 / x

⇒ Dy/ Dx = D / Dx (7 / x)

                = 7 D/Dx (1/x)

                = 7 (- 1 × x⁻¹⁻¹ )

                = 7 (- x⁻²)

                = - 7 / x²

⇒ Dy/Dx = - 7 / x²

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The average rate of change of f(x) = -x^2 + 3x + 6 from x = 5 to x = 8 is -1.

To find the average rate of change, we use the formula:
average rate of change = (f(b) - f(a)) / (b - a)
Substituting the values of x = 5 and x = 8 into the equation, we get:
average rate of change = (f(8) - f(5)) / (8 - 5)
Next, we calculate the values of f(8) and f(5) using the given function:
f(8) = -(8^2) + 3(8) + 6 = -64 + 24 + 6 = -34
f(5) = -(5^2) + 3(5) + 6 = -25 + 15 + 6 = -4
Plugging these values into the formula, we have:
average rate of change = (-34 - (-4)) / (8 - 5) = (-34 + 4) / 3 = -30 / 3 = -10
Therefore, the average rate of change of f(x) = -x^2 + 3x + 6 from x = 5 to x = 8 is -10, which can be simplified to -1.

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Answer:

6.4 x 1.2=7.68

Step-by-step explanation:

6.4

1.2

----

028

740

add

7.68

3.5 x 4.9=15.435

Fraction of the sensors on the given satellite which have been upgraded is equal to  option D. 1/7.

As given in the question,

Total number of modular units = 30

Let 'n' be the total number of upgraded sensors available on the entire satellite

Number of non-upgraded sensors available on one unit = ( 1/5)n

                                                                                         = x/5

Number of non-upgraded sensors available on 30 modular unit

= 30n /5

= 6n

Total number of non- upgraded and upgraded sensors makes one unit

⇒n + 6n =  1

⇒7n = 1

Fraction of upgraded sensors are:

⇒ n = 1/7

Therefore, the fraction of the sensors available on the satellite and are upgraded is equal to option D. 1/7.

The above question is incomplete , the complete question is:

A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/5 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?

A. 5/6     B. 1/5      C. 1/6     D. 1/7        E. 1/24

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Answer:

oi ngl levi is hawt I like your pfp ^^

Step-by-step explanation:

my name is Riley

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

The correct answer is that No, the Normal/large sample condition is not met.

In order to conduct a hypothesis test about the population mean, we need to check whether the sample data meets the necessary conditions for inference.

There are three main conditions that need to be met:

Random sample: The sample should be selected randomly from the population of interest.

Normality of population or large sample size: If the population distribution is normal, then the sample distribution will also be normal regardless of the sample size.

Independence: Each observation in the sample must be independent of the others.

In this case, we have a sample size of n = 6,

Sample size is smaller than the recommended sample size for the central limit theorem to apply.

So, the correct answer is that No, the Normal/large sample condition is not met.

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The equation sin^2(x) = 1/2 - 1/2cos(2x) is an identity that holds true for all values of x. It can be used to simplify expressions involving sine and cosine functions.

The equation sin^2(x) = 1/2 - 1/2cos(2x) is a trigonometric identity, which means it holds true for all values of x. To understand why this identity is true, we can use the double angle formula for cosine, which states that cos(2x) = cos^2(x) - sin^2(x). Rearranging this formula gives sin^2(x) = cos^2(x) - cos(2x).

Now, we can substitute the identity cos^2(x) + sin^2(x) = 1 into the above equation, which gives sin^2(x) = 1 - cos^2(x) - cos(2x). Rearranging further gives sin^2(x) = 1/2 - 1/2cos(2x), which is the desired identity.

This identity can be useful in simplifying expressions involving sine and cosine functions. For example, if we have an expression with both sin(x) and cos(x), we can use this identity to express everything in terms of sin(x) or cos(x) only.

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Answer:

1.4142135623730951i

Step-by-step explanation:

Did it help pls make me the brainliest and you can round your answer to how you want it and if not that's you answer thank you.

If the distribution is skewed to the right, then mean > median

This is where the tail is pulled to the right due to large outliers. Those outliers pull on the mean.

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer: 8.49

Step-by-step explanation:

i took the test and it was right

The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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It takes approximately 1.2 minutes to move the cans to the storage area when both conveyor belts are used.

We can begin the problem by using the formula:

work = rate x time

Let's denote the rate of the first belt as R1 and the rate of the second belt as R2. Then, we can write:

R1 = 200 pounds / 2 minutes = 100 pounds per minute

R2 = 200 pounds / 3 minutes ≈ 66.67 pounds per minute

When both belts are used, they work together to move the same 200 pounds of cans. Therefore, we can add their rates to get the total rate:

R = R1 + R2 = 100 + 66.67 = 166.67 pounds per minute

To find the time it takes to move the cans to the storage area, we can rearrange the formula:

time = work / rate

The total work is 200 pounds, so we have:

time = 200 pounds / 166.67 pounds per minute ≈ 1.2 minutes

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Ava and Kelly will be 3/4 mile apart after 22.5 minutes.

To determine when Ava and Kelly will be 3/4 mile apart, we can consider their relative speed. The relative speed is the difference between their individual speeds.

Ava's speed = 6 miles per hour

Kelly's speed = 8 miles per hour

The relative speed of Ava and Kelly is:

Relative speed = Kelly's speed - Ava's speed

= 8 miles per hour - 6 miles per hour

= 2 miles per hour

This means that Ava and Kelly are moving away from each other at a rate of 2 miles per hour.

To calculate the time it takes for them to be 3/4 mile apart, we can use the formula:

Distance = Speed × Time

In this case, the distance they need to cover is 3/4 mile, and the relative speed is 2 miles per hour.

3/4 mile = 2 miles per hour × Time

Simplifying the equation:

3/4 = 2 × Time

Dividing both sides by 2:

3/4 × 1/2 = Time

3/8 = Time

Therefore, it will take Ava and Kelly 3/8 hours (or 22.5 minutes) to be 3/4 mile apart.

Thus, Ava and Kelly will be 3/4 mile apart after 22.5 minutes.

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Changing the order of integration for a triple integral is beneficial because it can simplify the computation process.

The ability to change the order of integration for a triple integral is beneficial because it can simplify the calculations involved in solving the integral.

By rearranging the order of integration, the integrals can be broken down into smaller, more manageable integrals, which can then be solved more easily.

For example, suppose we have the following triple integral:

∫∫∫f(x,y,z)dxdydz

In general, we can change the order of integration by identifying the limits of integration for each variable and rearranging them in a different order. This can be done in several ways, but a common approach is to start with the outermost integral and work our way inwards.

For instance, if we change the order of integration from dx dy dz to dz dy dx, the integral becomes:∫a∫c∫g(x,y,z) dzdydx

where the limits of integration for z are a function of x and y, and the limits of integration for y are a function of x.

By breaking the integral down into smaller integrals, we can more easily evaluate each one and obtain a solution to the original triple integral.

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Answer:

Rational

Rational

Rational

Rational

Rational

Irrational

Irrational

Rational

Step-by-step explanation:

First we need to establish what a rational, and a irrational numbers are.  A rational number are basically integers that can be written as fractions which means any of the options that are integers or fractions are in fact rational numbers. A irrational number are basically numbers that cannot be written as a fraction which means things like repeating decimals or just numbers that cannot be expressed as a fraction of two other whole numbers.

First option:

\(-4+23\)

\(-4 + 23=19\)

19 is a rational number because it can be expressed as two integers which are 1 and 19

Second option:

\(\frac{2}{3} +\frac{1}{2}\)

Both are fractions which means the sum will be a fraction which also means it is a rational number since we previously established that every fraction is a rational number.

Third option:

\(-\frac{1}{2} + 12\)

You can write 12 as a fraction which is 12/1 and then solve which the sum will also be a fraction which means it will also be a rational number.

Fourth Option:

\(\frac{2}{5} +15\)

15 can be written as 15/1 which means it is a rational number which also means the sum of the two fractions will also be a rational number.

Fifth option:

Adding fractions, fractions are rational numbers which means the sum will also be a rational number

Sixth option:

Pie is a infinite decimal number which means it is irrational because it cannot be written as a fraction.

Seventh option:

\(\sqrt[]{3} +\frac{5}{8}\)

/3 cannot be written as a fraction which means the entire equation is irrational because a rational plus a irrational number will always equal a irrational number.

Eighth option:

\(3.25+4.17\)

Since how these decimals are not repeating they are both rational numbers.

Hope this helps.

\(< 5,-4 > - < 2,3 > \implies < 5-2~~,~~-4-3 > \implies < 3~~,~~-7 >\)