Find the missing side of the missing side.

The length of the missing side is: ?m

The required answer is m = n, provided that b ≠ 0

To consider the following statement:
Select the answer that best completes the given statement: If b^m = b^n, then

The completeness of the real numbers,

Complete uniform space, a uniform space where every Cauchy net in converges .Complete measure, a measure space where every subset of every null set is measurable. Completeness, a statistic that does not allow an unbiased estimator of zero. Completeness a notion that generally refers to the existence of certain suprema or infima of some partially ordered set.

Exponentiation to real powers can be defined in two equivalent ways, extending the rational powers to reals by continuity , or in terms of the logarithm of the base and the exponential function. The result is always a positive real number, and the identities and properties shown above for integer exponents remain true with these definitions for real exponents. The second definition is more commonly used, Then it is generalizes straightforwardly to complex exponents.

The exponentiation is an operation involving two numbers, the base and the exponent or power. Exponentiation the base and n is the power; this is pronounced as "b to n". When n is a positive integer, exponentiation corresponds to repeated multiplication of the base.

The definition of exponentiation can be extended to allow any real or complex exponent. Exponentiation by integer exponents can also be defined for a wide variety of algebraic structures, including matrices.

Then: m = n, provided that b ≠ 0

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Substitution is the replacing the variables in an algebraic expression with their numerical values. It involves substituting the value of any one of the variables.

How to determine this

When an adult ticket costs  £7.50

A child ticket costs  £3.50.

Let x represent the number of adult tickets

And let y represent the number of child tickets

When Brooke sold tickets for her show

i.e x + y = 100 ----  (1)

From the equation, by making y the subject of the formula

y = 100 - x ----  (2)

7.50x + 3.50y = 590  ---- (3)

By substituting equation 2 into 3

7.50x + 3.50(100 - x) = 590

Open bracket

7.50x + 350 - 3.50x = 590

Collect like terms

7.50x - 3.50x = 590 - 350

4x = 240

Divides through by 4

4x/4 = 240/4

x = 240/4

x = 60

When y = 100 - x

x = 60

So, y = 100 - 60

y = 40

Therefore, the amount she sold for adult tickets to child tickets is 60 tickets to 40 tickets respectively

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First of all, we need to convert Cartesian coordinates into spherical coordinates.

spherical coordinates:

x = r sinθ cosφ

y = r sinθ sinφ

z = r cosθ

The Jacobian of the spherical coordinate transformation is: r2 sinθ.

From the above transformation, the integral in Cartesian coordinates will transform into spherical coordinates as follows:

(∫∫∫ R (x2+y2+z2 )-3/2  dx dy dz) = (∫∫∫ R r-3 r2sinθ dr dθ dφ) = (∫∫ R r-1 sinθ dθ dφ) = (2π) (∫R r-1 sinθ dr) = (2π) [(-cosθ) R] = (2π) [-cos(cos-1z)] = 2π(1-z2)-1/2.2)

The given vector field is F = <2xyez, y2zez, xe> .

Let's find the curl of the vector field F using the formula for curl of a vector:

curl(F) = ∇ x Fwhere curl(F) denotes the curl of vector field F, and ∇ is the del operator.

∇ x F = (d/dx i + d/dy j + d/dz k) x <2xyez, y2zez, xe>

=[(d/dy)(xe) - (d/dz)(y2zez)]i + [(d/dz)(2xyez) - (d/dx)(y2zez)]j + [(d/dx)(y2zez) - (d/dy)(2xyez)]k

= [-y2z cos(x) - 2xyz sin(x)]i + [2yez - 2yzez]j + [y2 cos(x) - 2xy sin(x)]k

To evaluate the integral in Cartesian coordinates, we converted the coordinates to spherical coordinates. We then found the Jacobian of the transformation and evaluated the integral. The final answer was 2π(1-z2)-1/2.To find the curl of the given vector field, we used the formula for curl of a vector. After finding the curl of the given vector field F component-wise and then took the cross-product of the gradient operator and vector F.

The final answer was [-y2z cos(x) - 2xyz sin(x)]i + [2yez - 2yzez]j + [y2 cos(x) - 2xy sin(x)]k.

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Answer:

-2x=30y-6

2x+30y-6=0

Step-by-step explanation:

The possible first coordinate x with a slope of 3 is equal to -13/3.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points and slope on the line:

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

3 = (4 - 8)/(x + 3)

3x + 9 = -4

3x = -13

x = -13/3

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Answer:

Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)

y = x - 1

Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)

y = 4x + 9

Step-by-step explanation:

Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)

y = mx + b

if slope is 1, m= 1

y = x + b

if passing through (0,-1), then y = -1, x = 0

-1 = (0) + b

b = -1

then

y = x - 1

Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)

y = mx + b

if slope is 4, m= 4

y = 4x + b

if passing through (0,-1), then y = 1, x = -2

1 = 4(-2) + b

b = 9

then

y = 4x + 9

Answer:155.56%.

Step-by-step explanation:To find the percentage increase, we need to calculate the difference between the two prices and divide it by the original price, then multiply by 100 to express the answer as a percentage.

Percentage increase = (New price - Original price) / Original price * 100

Percentage increase = (459 - 180) / 180 * 100

Percentage increase = 279 / 180 * 100

Percentage increase = 155.56%

So the price of the item increased by 155.56%.

The percent of sales that occurred in May is: 6.6%

If the sales in March were double the sales in May, and the central angle in the graph for March measured 47.5°, we can find the central angle for May as follows:

Let x be the central angle for May. Then we have:

2x = 47.5

Solving for x, we get:

x = 23.75

So the central angle for May is 23.75°.

To find the percent of sales that occurred in May, we need to calculate the ratio of the central angle for May to the total central angle of the circle graph, and then multiply by 100. The total central angle of a circle is always 360°.

So the percent of sales that occurred in May is:

(23.75/360) x 100 = 6.6%

Therefore, 6.6% of the sales occurred in May.

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Answer:

n=9

Step-by-step explanation:

72= 8n

72/8= 8/8n

9=n

There are 13 teams in the softball league, so there are 13 options for the first-place team. Once the first-place team is determined, there are 12 remaining teams for the second-place spot. Finally, there are 11 remaining teams for the third-place spot. Therefore, the number of different end-of-the-season rankings of first, second, and third place is possible is:

13 x 12 x 11 = 1,716

So there are 1,716 possible rankings.

The given angles are vertical and have a measure of 75°. The value of the angle (4x-25)° is also 75°, and the value of x is 25.

The given angles are vertical angles, which means they are opposite angles formed by the intersection of two lines.

Vertical angles are always congruent, which means they have the same measure. Hence, we can set the two given angles equal to each other and solve for the value of x. 75° = (4x-25)°

Adding 25 to both sides, we get: 100° = 4x

Dividing both sides by 4, we get: x = 25 Hence, The value of the angle (4x-25)° is: (4x-25)° =

\((4 \times 25-25)°\)

= 75°

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Answer:

i am so sorry i don't know this correct answer sorry!

Step-by-step explanation:

i hope this helps bestie!

The best description of the distribution is bimodal with a gap.

Here in the plot, we can see that there are two peaks and it implies that there are two modes.

This can be seen in a histogram as a distinct gap between two cohesive groups of bars. When two clearly separate groups are visible in a histogram, you have a bimodal distribution. Literally, a bimodal distribution has two modes, or two distinct clusters of data

We can see that there is a gap between the two modes. So the best description of the distribution is bimodal with a gap.

The following dot-Plot shows the bimodal with a gap.

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Answer: (1) C. 65 + 28H < 250

(2) 6

Step-by-step explanation:

Here is the correct question:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an

hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.

Let H represent the whole number of hours that the plumber works.

1) Which inequality describes this scenario?

Choose 1 answer:

A. 28 + 65H < 250

B. 28 + 65H > 250

C. 65 + 28H < 250

D. 65 +28H > 250

2) What is the largest whole number of hours that Anand can afford?​

Since the initial fee charged by the plumber is $65 and an hourly rate of $28, and Anand would like to spend no more than $250. This means that the addition of the initial fee plus the hourly fee based on number of hours worked will have to be less than $250. This can be mathematically expressed as:

= 65 + 28H < 250

That means option C is the correct answer.

Option B and D are incorrect because the greater sign was used but Anand doesn't want to spend more than $250 but the options denoted that he spent more than $250 which isn't correct.

2)'The largest whole number of hours that Anand can afford goes thus:

65 + 28H < 250

28H < 250 - 65

28H < 185

H < 185/28

H < 6.6

Therefore, the largest whole number of hours that Anand can afford is 6.

Answer: The Answer is 65+28H < 250 and the largest amount of hours is 6

Step-by-step explanation:

Answer:

its B!!

Step-by-step explanation:

I took the test and got it wrong but the review said it was B

Answer:

m = slope = -2

Step-by-step explanation:

\(\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2\)

Hope this helped! :)

The term "average" in statistics refers to a measure that summarizes the central tendency of a data set. Another term that could be used in place of "average" is "mean.  Average plays a crucial role in statistics as it provides a summary measure of central tendency.

The term "average" in statistics refers to a measure that represents the central tendency of a data set. It is commonly used to summarize and describe the typical value or typical level of a particular variable within a population or sample.

The role of the term "average" is to provide a single value that represents the collective information of the data set. It helps in simplifying and summarizing complex data by providing a measure that is representative of the entire distribution. It allows for comparisons, analysis, and inference based on a single value rather than considering each individual data point.

However, it's important to note that depending on the context and the nature of the data, alternative measures of central tendency may be more appropriate than the "average." For example, if the data set contains outliers or is heavily skewed, the median or mode might be better indicators of the typical value.

In summary, the term "average" plays a crucial role in statistics as it provides a summary measure of central tendency. However, it is important to consider the specific characteristics of the data set and potentially use alternative measures when necessary.

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A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:

The distance between the two points is: √145≈12.04 to 2 decimal places.

Step-by-step explanation:

If using a grid it will make the answer easier to solve.

Answer:

21units

12 units + 9 units

According to the question For ( a ) the amount and concentration of salt at any time \(\(t\)\) can be \(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\) . For ( b ) the limiting concentration of salt in the tank is 0.25 kg/L.

To determine the amount and concentration of salt at any time in the tank, we need to consider the inflow of saltwater, outflow of water, and evaporation. Let's denote the time as \(\(t\)\) in hours.

a. Amount and Concentration of Salt at any time:

Let's denote the amount of salt in the tank at time \(\(t\) as \(S(t)\)\) in kg and the concentration of salt in the tank at time \(\(t\) as \(C(t)\) in kg/L.\)

Initially, the tank contains 100 L of water with a salt concentration of 0.1 kg/L. Therefore, at \(\(t = 0\)\), we have:

\(\[S(0) = 100 \times 0.1 = 10 \text{ kg}\]\)

\(\[C(0) = 0.1 \text{ kg/L}\]\)

Considering the inflow, outflow, and evaporation rates, the amount of salt in the tank at any time \(\(t\)\) can be calculated as:

\(\[S(t) = S(0) + \text{Inflow} - \text{Outflow} - \text{Evaporation}\]\)

The inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L. Thus, the amount of salt entering the tank per hour is:

\(\[\text{Inflow} = \text{Inflow rate} \times \text{Concentration} = 55 \times 0.2 = 11 \text{ kg/h}\]\)

The outflow rate is 44 L/h, so the amount of salt leaving the tank per hour is:

\(\[\text{Outflow} = \text{Outflow rate} \times C(t) = 44 \times C(t) \text{ kg/h}\]\)

The evaporation rate is 11 L/h, and as only water evaporates, it does not affect the salt concentration in the tank.

Therefore, the amount and concentration of salt at any time \(\(t\)\) can be expressed as follows:

\(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)

\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\)

b. Limiting Concentration:

The limiting concentration refers to the concentration reached when the inflow and outflow rates balance each other, resulting in a stable concentration. In this case, the inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L, and the outflow rate is 44 L/h. To find the limiting concentration, we equate the inflow and outflow rates:

\(\[\text{Inflow rate} \times \text{Concentration} = \text{Outflow rate} \times C_{\text{limiting}}\]\)

\(\[55 \times 0.2 = 44 \times C_{\text{limiting}}\]\)

\(\[C_{\text{limiting}} = \frac{55 \times 0.2}{44} = 0.25 \text{ kg/L}\]\)

Therefore, the limiting concentration of salt in the tank is 0.25 kg/L.

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The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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Answer:

Correct (192)

Step-by-step explanation:

The formula for a parallelogram's area is just base times height. 16x12 is equal to 192, so you are correct.

A parallelogram can be:

Therefore we calculate the rectangle of a square, which is a parallelogram.

To start solving, we obtain the following data:

The formula to calculate the area is:

\(\bf{a=b*h }\)

To calculate the area, multiply the base by the height (which is represented in "h")

We clear formula, calculate the area:

\(\bf{A=(16 \ cm)(12 \ cm) \ \ \ ==== > \ Multiply }\)

\(\bf{A=192 \ cm^{2} }\)

Answer: The area of the parallelogram is 192 cm2. So if you're right, it was a rectangle.

Answer:

- 190

Step-by-step explanation:

-10x (4x - 12 - 3)

-40x - 120x - 30x

- 190

Answer:

-20x³ + 30x^4 + 15x²

Step-by-step explanation:

−5x²(4x − 6x² − 3)

-20x³ + 30x^4 + 15x²

There are 27 more green cars than black cars in the parking lot what percentage of the cars are green and what percent of the cars are black: the percentage for Black is 3.57% and for green is 96.43%

Black is 3.57%

Green is 96.43%

Since 27 green then dark

Allow the dark vehicle to be b

So green vehicles which 27 a larger number than dark mean 27b

So to work out the percentage of green we will have

27b/27b+b ×100

27b/28b ×100

How about we eliminate the b

27/28×100

2700/28

96.43%

So we should compute for Dark

b/27b+b ×100

b/28b ×100

Eliminate b

1/28 ×100

100/28

3.57%

Hence the percentage for Black is 3.57% and for green is 96.43%

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Answer:

B

Step-by-step explanation:

Exponent: 15/3 = 5

Coefficient: \(\sqrt[3]{200} =2\sqrt[3]{25}\)

Hope this helps!

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.

Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

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Answer:

About 573.6 or 574 would be the answer if you wanted it rounded.

Step-by-step explanation:

I found this by dividing 6 by 10 since for every ten student 6 play sports.

So I divide 6 by 10 and then I multiplied the result by 956 and found the answer to the equation.

So if there was 956 students then about 574 students would play sports.

Hope this helped:)

The y-intercept is (0, 4).

An alternate method to find the x-intercepts is to factor the quadratic equation.

The vertex is (-2, 0).

The graph of the equation is illustrated below.

One of the most common types of equations is a quadratic equation, which is an equation of the form ax² + bx + c = 0. In this case, we have the equation x² + 4x + 4 = 0, and we need to find the x-intercepts.

To find the x-intercepts, we can use the quadratic formula, which is given by:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 4, and c = 4, so we can substitute these values into the formula:

x = (-4 ± √(4² - 4(1)(4))) / 2(1) x = (-4 ± √(0)) / 2 x = -2

Therefore, the x-intercept is -2. We can check this by plugging in x = -2 into the equation and verifying that it equals zero:

(-2)² + 4(-2) + 4 = 0

In this case, we can see that the equation can be factored as:

(x + 2)² = 0

Taking the square root of both sides, we get:

x + 2 = 0

x = -2

This gives us the same x-intercept as before.

To find the vertex of the parabola represented by the equation, we can use the formula:

x = -b / 2a

and then substitute this value of x into the equation to find the y-coordinate of the vertex. In this case, we have:

x = -4 / 2(1) x = -2

Substituting x = -2 into the equation, we get:

(-2)² + 4(-2) + 4 = 0

Since the coefficient of x² is positive (i.e., a = 1 > 0), the parabola opens upwards and the vertex is a minimum.

To graph the parabola, we can plot the vertex at (-2, 0) and use the x-intercept we found earlier at (-2, 0). Since the equation is symmetric about the vertical line through the vertex, we know that there is another point on the graph that is the same distance from the vertex but on the other side of the line. Therefore, we can plot the point (-3, 0) as well. We can also find the y-intercept by setting x = 0 in the equation:

0² + 4(0) + 4 = 4

Using this information, we can sketch the parabola by connecting the points (-3, 0), (-2, 0), and (0, 4), and noting that the parabola is symmetric about the line x = -2.

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Answer: 3 Months

Step-by-step explanation:

She has 550 available to pay for her cable.

550/175 =  3.1428571429 (3)

1000 - 525 (175x3)

1000 - 525 = 475 Which leaves 475 in her account.

Answer:

Yes.

Step-by-step explanation:

Elyssa has a total of 4 cups of popcorn for her party. She is putting 1/3 of a cup of popcorn into each bag for her guests.

To find out if she has enough popcorn for everyone, we need to calculate how much popcorn will be needed for all 10 guests.

If each guest gets 1/3 of a cup of popcorn, then for 10 guests, Elyssa will need:

(1/3) x 10 = 10/3 = 3 1/3 cups of popcorn

However, Elyssa only has 4 cups of popcorn. Since 4 cups is greater than 3 1/3 cups, Elyssa will have enough popcorn for all of her guests.

Therefore, Elyssa will have enough popcorn for everyone at her party.