5^6/5^?=1/25

FIND MISSING EXPONENT

EXTRA POINTS

Answer:

63.6 feet

Step-by-step explanation:

Add f and g together by combing like terms

answer: x^2 + 4x -13

Answer:

\((f+g)(x)=x^2+4x-13\)

Step-by-step explanation:

Given functions:

\(f(x)=4x-8\)

\(g(x)=x^2-5\)

Composite function:

\(\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (4x-8)+(x^2-5)\\ & =4x-8+x^2-5\\ & =x^2+4x-8-5\\ & = x^2+4x-13 \end{aligned}\)

Answer:

  The point is part of the solution. It is found in the doubly-shaded area.

Step-by-step explanation:

The first inequality graphs with a solid boundary line of negative slope that has negative x- and y-intercepts. Shading is below the line (and to its left).

The second inequality graphs with a solid boundary line of negative slope that has positive x- and y-intercepts. Shading is above the line.

The solution space is the doubly-shaded area to the (upper) left of the point where the boundary lines cross. The given point is in the 2nd quadrant, and is in the solution space.

The point is part of the solution set.

__

Additional comment

Sometimes help is needed with graphing.

If a variable in the inequality has a coefficient of 1, its corresponding intercept is easily found. (It is the constant on the other side of the inequality symbol.)

The slope of the boundary line can be found by solving for y. The slope is the coefficient of x in that formulation. For the first inequality, the slope is -4 and the y-intercept is -3. This means (-1, 1) and (-2, 5) will be other points on the line.

For the second inequality, the slope is -1/8, and the x-intercept is 7. This, too, means that (-1, 1) is a point on the line, along with (-9, 2).

Slope is rise/run. A slope of -1/8 means the line falls 1 unit (rise) for each 8 units to the right (run). Working the other direction, the line will rise 1 unit for each 8 units to the left.

Answer:

Sum of exterior angle of polygon=360

Each exterior angle of polygon =24

Number of sides of polygon=\frac{360}{24}  

24

360

​  

=15

=> Number of sides of polygon with each angle of 24 is 15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are

(x + 8)(x + 4) = 0, then by the Zero Product Property,

x + 8 = 0 so x = -8 or

x + 4 = 0 so x = -4. Choice A.

Answer:

  3130.2 m²

Step-by-step explanation:

Area of a rectangle is the product of length and width.

  A = LW

  A = (84.6 m)(37 m) = 3130.2 m²

The area is 3130.2 square meters.

Answer:

3130.2 m²

Step-by-step explanation:

We know that

Area of rectangle = Length × Width

=> Area = 84.6 × 37

=> Area = 3130.2 m²

For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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Answer:

  27

Step-by-step explanation:

Let a represent Amanda's age. Then Jordan's age is 2a+5, and the combined ages are ...

  a +(2a+5) = 38

  3a = 33

  a = 11

So, Jordan's age is ...

  2(11) +5 = 27

The fraction 8/3 of the chocolate bars would each of you get.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You have 4/3 chocolate bars.

You want to give 1/2 of the chocolate bars to your friend.

To find the fraction of the chocolate bars would each of you get:

Use division operation,

4/3 ÷ 1/2

Rearranging to multiplication term,

4/3 x 2/1

= 8/3

Therefore, 8/3  fraction of the chocolate bars would each of you get.

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2 half dollars just mean a dollar. In that case, that's 10 dimes. (10*10=100)

Answer:

10 dimes

Step-by-step explanation:

So in order to get this answer we first must know that...

1 half dollar = 50 cents

1 dime = 10 cents

So...

5 dimes = 50 cents

2 half dollars = 100 cents aka $1

10 dime = 100 cents aka $1

Therefore we can use our common sense to figure out that 2 half dollars is 10 dimes.

Answer:

150/512 < 64/125

Step-by-step explanation:

5/8 * 6/8 * 5/8 = 150/512 = 0.295

4/5 *4/5 * 4/5 = 64/125 = 0.512

Therefore: 0.295 < 0.512 or 150/512 < 64/125

Answer:

Step-by-step explanation:

The formula for arc length is

\(AL=\frac{\theta}{360}*\pi d\) where theta is the central angle. We are given the central angle when we are told that the measure of arc EFG is 240 degrees. The diameter is given as 36, so filling in:

\(AL=\frac{240}{360}*\pi (36)\) which can be simplified down a bit to

\(AL=\frac{2}{3}*\pi (36)\) and a bit more to

\(AL=2\pi(12)\) which gives us, finally,

\(AL=24\pi\)

I can't tell which of your answers matches this one because they're much too small to read.

Knowing whether the mean is more than or less than the median can give us information about the skewness of a distribution because the mean and median represent different aspects of the distribution's central tendency.

In a positively skewed distribution, the tail of the distribution extends towards higher values, meaning there are some extreme high values that pull the mean towards the right. In this case, the mean is greater than the median because it is influenced by those high values, shifting the central tendency towards the right.

On the other hand, in a negatively skewed distribution, the tail of the distribution extends towards lower values, indicating the presence of extreme low values that pull the mean towards the left. As a result, the mean is lower than the median because the central tendency is shifted towards the left by those low values.

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a) The distribution of X is uniform with values ranging from 2 to 8, inclusive.

b) f(x) = 1/7 for 2 ≤ x ≤ 8 (since the distribution is uniform and there are 7 possible outcomes)

c) The mean (μ) of a uniform distribution is the average of the minimum and maximum values:

μ = (minimum value + maximum value) / 2 = (2 + 8) / 2 = 5

d) The standard deviation (σ) of a uniform distribution can be found using the formula:

σ = (maximum value - minimum value) / sqrt(12) = (8 - 2) / sqrt(12) ≈ 1.79

e) P(3.25 < X < 3.67) represents the area under the probability density function (PDF) between 3.25 and 3.67. Since the PDF is constant over this interval, we can find the area using the formula for the area of a rectangle:

P(3.25 < X < 3.67) = f(x) * (3.67 - 3.25) = (1/7) * 0.42 ≈ 0.06

f) To find the 80th percentile, we need to find the value of X such that 80% of the area under the PDF is to the left of that value. Since the distribution is uniform, we can use the cumulative distribution function (CDF) to find this value:

80th percentile = 2 + 0.8(8 - 2) = 7.2

g) P(X > 5 | X > 4) represents the probability that X is greater than 5 given that X is greater than 4. Since X is uniformly distributed, we know that the probability of X being between 4 and 5 is (5 - 4) / (8 - 2) = 1/6. Therefore, we can use Bayes' theorem to find the conditional probability:

P(X > 5 | X > 4) = P(X > 4 and X > 5) / P(X > 4)

= P(X > 5) / (1/6)

= (8 - 5) / (8 - 2) / (1/6)

= 3/5

≈ 0.60

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Answer:

  Q = 2850

Step-by-step explanation:

Given the demand function Q = 5700 -9.5P, you want the value of Q that maximizes revenue.

Revenue is the product of P and Q. Solving the given equation for P, we have ...

  Q = 5700 -9.5P

  Q -5700 = 9.5P

  (Q -5700)/9.5 = P

Then revenue is ...

  R = PQ = (Q -5700)Q/9.5

This is the factored form of an equation of a parabola that opens downward. It has zeros at Q=0 and Q=5700. The vertex of the parabola is on the line of symmetry halfway between these values:

  Q = (0 +5700)/2 . . . . . maximizes revenue

  Q = 2850

The value of Q that maximizes revenue is 2850.

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Answer: For 2: 40/9 hours.  

Step-by-step explanation:

Tim can paint 1/10 of his barn in an hour.

JoAnn can paint 1/8 of the barn in an hour.

Now lets say if they work together they can paint 1/x of the barn in a hour.

Now we make an equation:

1/10 + 1/8 = 1/x

=>x/10 + x/8 = 1

=>x=40/9

If they work together, they can paint the barn in 40/9 hours.

The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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The definite integral evaluates to:

∫7 13 ln(x^17) dx = (1/17) [17 ln(17) - 7 ln(7) - 10]

= ln(17) - (7/17) ln(7) - (10/17)

To evaluate the definite integral ∫7 13 ln(x^17) dx, we can use the substitution u = x^17. Then du/dx = 17x^16, or dx = du/(17x^16). Substituting this into the integral, we get:

∫7 13 ln(x^17) dx = ∫u(7) u(13) ln(u) du/(17x^16)

Since u(7) = 7^17 and u(13) = 13^17, the integral becomes:

∫7 13 ln(x^17) dx = (1/17) ∫7^17 13^17 ln(u) du

Using integration by parts with u = ln(u) and dv = du, we get:

∫7^17 13^17 ln(u) du = [u ln(u) - u]_7^17

= 17 ln(17) - 7 ln(7) - 10

Therefore, the definite integral evaluates to:

∫7 13 ln(x^17) dx = (1/17) [17 ln(17) - 7 ln(7) - 10]

= ln(17) - (7/17) ln(7) - (10/17)

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The scenario is represented by the simple equation \(10 + 2^7.\)

A pregnant rabbit will give birth to a litter of young rabbits during the first month. There will be 12 animals total at the end of the first month (\(10 + 2^1\)).

The final population can be represented by the equation \(10 + 2^7\) because the procedure lasts for 7 months.

\(10 + 2^7 = 10 + 128 = 138\)

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

A condition on a variable is what an equation in algebra is. It can only be satisfied if the variable has a specific value. That means that only the value of x = 9 may satisfy the equation 2x - 5 = 13.

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Answer:

False i guess

Step-by-step explanation:

you cant swip swap equation numbers in subtraction

Answer:

x=1/3

Step-by-step explanation:

3x-1=1-3x

add three to both sides: 3x(+3x)-1=1-3x(+3x)

6x-1=1

add 1 to both sides: 6x-1(+1)=1(+1)

6x=2

divide both sides by 6: x=2/6

simplify: x=1/3

The measure of the angles of the cyclic quadrilateral are:

Arc PQ = 130

QR = 50°

Arc RS = 70°

∠PSQ = 65°

∠PSB = 65°

∠SBP = 80°

AQS = 30°

PS = 110°

From the figure, the arc PQ is subtended by the angle PAQ.

This means that:

PQ = ∠PAQ

Given that ∠PAQ = 130, it means that:

Arc PQ = 130

The measure of PSQ is then calculated using:

∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.

This gives: ∠PSQ = 0.5 * 130

∠PSQ = 65°

Hence, the measure of ∠PSQ is 65°

The measure of arc QR

A semicircle measures 180°

Thus:

QR + PQ = 180°

Thus, we get:

QR = 180° - PQ

Substitute 130° for PQ

QR = 180° - 130°

QR = 50°

Hence, the measure of QR is 50°

The measure of arc RS

The measure of arc RS is then calculated using:

∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.

Where ∠RPS = 35

So, we have:

35 = 0.5 * Arc RS

Multiply both sides by 2

Arc RS = 70°

The measure of angle AQS

In (a), we have:

∠PSQ = 65°

This means that:

∠PSQ = ∠PSB = 65°

So, we have:

∠PSB = 65°

Next, calculate SBP using:

∠SBP + ∠BPS + ∠PSB = 180° ---- sum of angles in a triangle.

So, we have:

∠SBP + 35 + 65 = 180°

∠SBP + 100 = 180

∠SBP = 80°

The measure of AQS is then calculated using:

AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)

AQS = 180 - (180 - 80) - (180 - 130)

AQS = 30°

The measure of arc PS

A semicircle measures 180°

This means that:

PS + RS = 180°

This gives

PS = 180 - RS

RS = 70

Thus:

PS = 180 - 70

PS = 110°

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According to the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs of a right triangle.

In other words, \(a^2 + b^2 = c^2\) for the triangle depicted below.

The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.

Construction projects and almost anything involving right triangles, such as roofing for homes, are common uses for this application.

Hypotenuse² = Base² + Perpendicular²

The Pythagorean Theorem is used in a variety of computations. For instance, it may be used to determine the height and distance of straight and fallen trees, as well as the steepness of hills and mountains.

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The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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The correct option that describes the set being linearly dependent is option A: f2(x) = c1 f1(x) + c2 f3(x) + c3 f4(x).

If one of the functions in the set can be expressed as a linear combination of the other functions, it implies that the set is linearly dependent. In option A, f2(x) can be written as a linear combination of f1(x), f3(x), and f4(x), indicating that the set is linearly dependent.

Option B does not necessarily imply linear dependence, as it represents a specific linear combination of the functions rather than one function being a linear combination of the others.

Option C refers to the Wronskian, which is a concept used to test linear independence of functions, but its value not being zero does not necessarily imply linear dependence.

Option D, stating that the functions are not multiples of each other, does not provide enough information to determine linear dependence or independence.

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The given agricultural product is acidic with pH = 3.456

Potential of hydrogen, is a scale used to specify the acidity or basicity of an aqueous solution.

Given,

The formula for the pH of a solution of hydronium ions is given by the

logarithmic equation pH = -log [H₃O

pH is a scale that ranges from 0 to 14, which is used for measuring the acidity or basicity of a given solution. It is equal to the negative logarithmic of hydrogen ion (H⁺) concentration in the given solution.

pH = -log [H⁺]

An acidic solution has a pH value < 7;

a basic solution has a pH value > 7 and

a neutral solution has pH value = 7, at room temperature.

Given: Hydrogen ion concentration [H⁺] = 3.5 × 10⁻⁴, pH = ?

To calculate the pH of the given agricultural product, we use the equation,

pH = - log [H⁺]  = - log (3.5 × 10⁻⁴)

pH = - [log 3.5 - 4 log 10]

pH = - [0.544 - 4]

pH = + 3.456 ⇒ Acidic

Therefore, the given agricultural product is acidic with pH = 3.456

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To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Answer:

8 hours

Step-by-step explanation:

if it takes 2hrs to do 4 pages it takes an hour to do 2 pages

2*8=16

1*8=8

8 hours

hope it helps