What is the base of an triangle that has an area of 24 square units and a height of 12 units

The distance covered by the car in 1 hour is 65 miles.

For the stated question-

Car travels with the speed = 65 mi/h.

Total time is 1 hour.

the, by the relation of-

Speed = distance x time

Distance = speed / time

Distance = 65 mi/h / 1 hour

Distance = 65 mi

Thus, the distance covered by the car in 1 hour is 65 miles.

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The exponential growth formula for bacteria growth is P(t) = 8600 [tex](2)^(t/5)[/tex].

What is exponential growth?

     Exponential growth is a pattern of data that exhibits a greater increase over time, resulting in an exponential curve. Exponential is also a mathematical term meaning "with exponents". For example, if you raise a number to the 10th power, the number increases exponentially. Exponential growth is growth that increases at a constant rate.

Here given take Initial number of bacteria = 8600. rate of growth = 2.

It doubles every year. Then doubling time = 5 hours.

Now population growth after t years,

P(t) = Po [tex](2)^(t/5)[/tex]

=> P(t) = 8600 [tex](2)^(t/5)[/tex]

Therefore exponential growth formula is P(t) = 8600 [tex](2)^(t/5)[/tex].

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The mean of the first 10 whole numbers is 4.5.

What is mean?

A amount that includes a price intermediate between those of the acute members of some set is known as mean.

Main body:

In this question we have to find the mean of the first 10 whole numbers. Whole numbers are all non-negative integers which start from 0. Now the mean of the first 10 whole numbers will be the mean of numbers from 0 to 9, as the count of numbers from 0-9 is 10. Use this concept to reach the answer.

Mean of numbers is equal to the sum of the numbers divided by the count of the numbers that is

Mean = sum of numbers/ total numbers          …………………….. (1)

To find the mean of the first 10 whole numbers, we will find the sum of numbers from 0 to 9 as 0-9 are the first 10 whole numbers.

So, the sum of the first 10 whole numbers is 0+1+2+3+4+5+6+7+8+9=45.

Now putting the values in equation (1) we get, mean = 45/10 = 4.5

Hence, the mean of the first 10 whole numbers is 4.5.

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The process of checking polynomial division supports the fact that polynomials are closed under multiplication and addition is shown below:

A polynomial is the quotient (with or without a remainder). multiplying this polynomial by the polynomial's divisor We get a polynomial with updated exponents and coefficients, so it's closed under multiplication.

A polynomial is defined as an equation composed of variables, constants, and exponents that are joined together using mathematical operations such as addition, subtraction, multiplication, and division.

If no remainder exists, the dividend is equal to the quotient multiplied by the divisor.

The quotient and divisor, as well as their product, the dividend, are both polynomials.

If there is a residual, it is added to the product of the quotient and divisor.

The polynomial dividend is the sum of the remainder and the product of the quotient and divisor.

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CD makes approximate 10.9 resolutions to make as it spins to a stop.

Here we have to determine the number of rotations N ,the CD spun before it comes to a stop. We first need to express the initial angular velocity ω , in terms of rad/s by applying the conversion factor ω = 2πf × 1/60 min/s where f = 500 rpm.

Then we apply the equation for the angular displacement of the CD upon coming to a stop,

Ф=  (ωi²-ωf²)/2α , We have the final angular velocity of ωf = 0 rad/s and an angular acceleration of α = 20.1 rad/s² Now we proceed with finding Φ.

Ф=  (ωi²-ωf²)/2α

  = {(2Πf×1/60min/s)² - ωf²}/2α

  = {(2π(500 rpm) × 1/60 min/s) -0 rad/s}/2(20.1 rad/s²)

  ≈ 68.19792... rad

Now we divide the answer by 2π to find the answer ,N, or

N =   Ф/2π

N =   (68.19792... rad)/2ππ

N  ≈ 10.9 revolutions

So, CD makes approximate 10.9 revolutions to make it stop.

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The test statistic has a value of -633.6915 if a sample mean of 10 bottles was chosen, and the average number of ounces was 12.005.

As stated. Sample mean is 10.

12.005 people on average.

0.01 is the standard deviation.

The test statistic's value is -633.6915 when calculated using the formula:

T = mean - average population / s/root n

= 10-12.005 / 0.01/3.16

= -2.005 /0.0031

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As there is less ambiguity when the population's standard deviation is known, the z interval with a value of 2.57 is preferable (the interval is too wide).

However, there is more uncertainty when the standard deviation is unknown, thus the t interval of 1.96 is more reasonable (the z-interval is too small). A z interval is a special kind of confidence interval that provides a range of possible values for a given mean or proportion. It can be determined using a standard deviation that is known. Calculate a t-interval when you don't know the standard deviation but still need to obtain a confidence interval. The only difference is that the interval is calculated using a different table: a t-table for a t-interval and a z-table for a z-interval. For more on the exact distinctions between the “T” and “Z”, see: T-scores vs. Z-scores.

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The mean number of visitors to the museum is much greater than the median number of visitors.

What is median?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simples to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the center of a sequence to determine its value.

Option (a) is unquestionably incorrect since the probability that there will be 450 to 500 investors is extremely low (0.05), and investors are not, in fact, the visitors with the highest possibility of visiting the museum.

We will take the midpoint value of the class intervals as the given distribution is expressed as class intervals in order to simplify the data in this distribution.

Mean = 306

Since the mean(306) is coming out to be greater than the median (300)

Therefore the correct option is,

(C) the mean number of visitors to the museum is much greater than the median number of visitors.

Hence the mean number of visitors to the museum is much greater than the median number of visitors.

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Answer: the answer is 19

Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

The statement is true.

Given,

In the question:

Because working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

Let's know:

An accountant is an expert who handles bookkeeping and types out the monetary files you need to run your business—like profit and loss statements, balance sheets, and extra. They audit your books, put together reviews for tax functions, and simplify all the monetary mumbo jumbo that incorporates going for walks an enterprise.

Answer in true and false.

Now, According to the question:

The above statement is true.

Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

Hence, The statement is true.

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We can see two clusters (a group of values that stick together):

Please attach the picture (dot plot or other graph or figure) next time.

To learn how to draw a square with a compass, follow the steps below:

A square is a regular quadrilateral with four equal sides and four equal angles in Euclidean geometry. It is alternatively defined as a rectangle with two equal-length adjacent sides.

1. We begin with a provided line segment AB>, which will become one of the square's sides.

2. Move the AB line to the right.

3. Place the compasses on B and any suitable width. Draw an arc on each side of B, resulting in the points F and G.

4. Draw an arc above the point B with the compasses on G and any convenient width.

5. Place the compasses on F and draw an arc above B, crossing the preceding arc, and forming point H without changing the width of the compasses.

6. Make a line from B to H. Because this line is perpendicular to AB, the angle ABH is a right angle (90°); this will form the square's second side.

7.Place the compasses on A and adjust the width to AB. This width will remain constant as we design the other three sides of the square.

8. Draw an arc from point A to point B.

9. Move the compasses to point B without changing the width. Draw an arc over BH to create point C, the square's vertex.

10. Move the compasses to C without affecting the width. Draw an arc to the left of C across the existing arc, forming point D - the square's vertex.

11. Draw the CD and AD lines.

Now, ABCD is a square.

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The slope of the line passing through the points (-2, 8) and (4, 6) is -1/3 .

We know that the slope of a line passing through two given points is calculated by the formula:

[tex]{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}[/tex]

Now the given points are (-2, 8) and (4, 6)

Hence slope = (6-8) / (4-(-2)) = -2/6 = -1/3

The slope of a line indicates its slope and direction. Finding the slope of lines in a coordinate plane can help predict whether two lines are parallel, perpendicular, or have no relationship at all without actually using a compass.

The slope of a line can be determined using any two distinct locations on the line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line. In this essay, we will understand the slope-finding method and its uses.

Therefore the slope of the line is -1/3

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Answer:

$949

Step-by-step explanation:

→ Write a function

y = 150 + 17x

→ Substitute in 47

949

The probability that there are k turnovers in the given event is

[tex]^{n-1}C_k\cdot(\frac{1}{2})^{n-1}[/tex] .

Let us consider the changeover for the event as C.

Let the non-change over of the event is S

Let the probability of the event be p.

Probability of heads = p

Now Xi =1 if the changeover occurs on the i - th flip.

E[Xi] = 2 × (1-p)×p

Expected number of changeovers :

E[number of change overs] = E[∑ Xi] =2(n-1)(1-p)p

Now the sequence is given as  H H T H T H H T

This is same as the probability of k heads in (n-1) trials using binomial distribution .

Required probability = [tex]^{n-1}C_k\cdot(\frac{1}{2})^{n-1}[/tex]

Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this occurs, we say that there is a possibility that the event will occur.

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The correct answer is (d) which is commemorative speech

Given that,

A speech that praises, honors, recognizes, or pays tribute to a person, an event, an idea, or an institution

Given choices :  a. speech of award  b. introductory speech  c. speech of tribute  d. commemorative speech

What is commemorative speech ?

An address of honor given to celebrate or extol the virtues of a person, organization, place, event, idea, or institute is known as a commemorative (or ceremonial, or epideictic) speech. This speech goes beyond simple praise or thanks. It is more of an appreciation and celebration.

So, The correct answer is (d) which is commemorative speech

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The SAS Congruence Theorem means proving congruence by Side Angle Side Theorem .

The two figure which are  "Congruent" means that the two figures are same in all aspects including shape and size .

The term SAS Congruence is also known as Side Angle Side congruence, which is used to describe relation of two figures that are congruent.

Under this criterion, if two sides of a triangle are equal to two sides of another triangle, and the angle formed by these sides in two triangles are equal, then these two triangles are congruent.

Therefore , The SAS Congruence Theorem means proving congruence by Side Angle Side Theorem .

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From the given array and by division, we can say that; No, it would not be possible for the students to use 24 paper squares to make quilts with 5 rows of paper squares.

We are told that the students want to use 24 paper squares to make quilts with 5 rows of paper squares.

To get the number of possible rows they can make from this, what we need to do is to divide the number of required rows by the number of paper squares to the maximum number of paper squares for each row. Thus;

24/5 = 4.8

Thus, since it is 4.8 , it means that they would not have enough for five rows.

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Firm X is least likely to capture gains from the innovation when end users have inelastic demand for the product.

When the demand is inelastic for the product, firm X will be least likely to capture the gains, because the firm will not able to adjust prices for any added production cost.

Production costs allude to the costs an organization causes by assembling an item or offering support that produces income for the organization. Production costs can incorporate various costs, for example, work, unrefined components, consumable assembling supplies, and generally above.

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The value of a and b are; 4.8 and 10.8 respectively.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We have been given a figure which shows that;

Let x, y z, and u lines are parallel.

Therefore, by using proportion we can say that

a/ 12 = 4/ 10

thus, a = 4/ 10 (12)

a =2(12)/ 5

a = 24/5

a = 4.8

Now, 12/b = 10/8

b = 12 (8/10)

b = 6(8)/ 5

b  54/5

b = 10.8

Hence, tha value of a and b are; 4.8 and 10.8 respectively.

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Yes because (50)(0.25) and (50)(1 - 0.25) are both at least 10. This means we can use the normal distribution to model the distribution of sample portions.

What is a Normal distribution in statistics?

Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central region, with values decreasing as one moves away from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same.

25% = 0.25

Then (50)(0.25) > 10 and also (50)(1 - 0.25) > 10.

Hence, we can use the normal distribution to model the distribution of sample portions.

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Minimum value and maximum value attained at 36 and [tex]2\sqrt{648}[/tex] respectively.

Maxima and minima of a function are the largest and smallest value of the function respectively either within a given range or on the entire domain. Collectively they are also known as extrema of the function. The maxima and minima are the respective plurals of maximum and minimum of a function.

Given that f = [tex]x^{2}[/tex]+ [tex]y^{2}[/tex]

Let g = [tex]x^{4}[/tex] + [tex]y^{4}[/tex] = 1296

By Lagrange Multipliers:  grad(f) = λ grad(g)

or  <2x, 2y> = λ <4[tex]x^{3}[/tex], 4[tex]y^{3}[/tex]>

Equating like entries:

2x = 4λ[tex]x^{3}[/tex]=> x(2λ[tex]x^{2}[/tex] - 1) = 0

2y = 4λ[tex]y^{3}[/tex] => y(2λ[tex]y^{2}[/tex] - 1) = 0

Now there possible 3 cases :

(i) If x = 0, then   [tex]x^{4}[/tex] + 0 = 1296 => x = ±6.

(ii) If y = 0, then 0 + [tex]y^{4}[/tex]= 1296 => y = ±6

(iii) Otherwise, we have 2λ[tex]x^{2}[/tex] - 1 = 0 = 2λ[tex]y^{2}[/tex] - 1  => λ([tex]x^{2}[/tex] - [tex]y^{2}[/tex]) = 0.

If λ = 0, then both x = 0 and y = 0 and this is not possible since [tex]x^{4}[/tex]+ [tex]y^{4}[/tex]= 1296.

Otherwise,[tex]x^{2}[/tex] = [tex]y^{2}[/tex] ⇒ [tex]x^{4}[/tex] +  [tex]x^{4}[/tex] = 1296 => x = ± [tex]648^{1/4}[/tex]

(with x and y will have different signs)

Now we have following critical points (in lexicographic order):

(- [tex]648^{1/4}[/tex], - [tex]648^{1/4}[/tex])

(- [tex]648^{1/4}[/tex],  648^(1/4))

(-6, 0)

(0, -6)

(0, 6)

(6, 0)

( [tex]648^{1/4}[/tex], - [tex]648^{1/4}[/tex])

( [tex]648^{1/4}[/tex],  [tex]648^{1/4}[/tex])

Minimum value attained at f(±6, 0) = f(0, ±6) = 36

Maximum value attained at f(± [tex]648^{1/4}[/tex],  [tex]648^{1/4}[/tex]) = f(± [tex]648^{1/4}[/tex], - [tex]648^{1/4}[/tex]) = [tex]2\sqrt{648}[/tex]

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Cost of Case of Juice: 20

Cost of Case of Water: 15

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Here, we let

cost of a case of juice = x

cost of a case of water = y

6x + 1y = 135...(1)

4x + 2y = 110.....(2)

Now, we multiply equation (1) by 2 and equation (2) by 1 and we get

12x + 2y = 270

4x + 2y = 110

Now, we subtract equation (1) from equation (2) and we get

8x = 160

x = 20

and y = 15

Hence, the Cost of a Case of Juice: 20

Cost of Case of Water: 15

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The principle that individuals will be given only the level of access that is appropriate for their specific job role or function is called Principle of Least Privilege (PoLP)

The IT team will frequently need to re-grant credentials so that users may accomplish certain tasks when businesses choose to revoke all administrative capabilities from business users. For instance, many commercial off-the-shelf (COTS) apps and legacy programmes used in enterprise IT systems need privileges to function. The IT staff needs to restore local administrator access to business users so they can utilise these approved and necessary programmes.

As privileges are rarely removed once they have been granted again, organisations may find that many of their users eventually have local administrator rights once more.A user is only provided the minimal levels of access - or permissions - required to carry out his or her job functions under the principle of least privilege (PoLP), which is a notion in information security. It is widely regarded as a best practise in cybersecurity and is a crucial step in safeguarding privileged access to highly valuable data and assets. Beyond human access, least privilege applies.

Applications, systems, and linked devices that require rights or permissions to carry out a necessary operation can all use the paradigm. Least privilege enforcement makes sure the machine tool only has the minimal access required. A mechanism to centrally store and secure privileged credentials is necessary for least privilege enforcement, combined with adaptable policies that can balance cybersecurity and compliance needs with operational and end-user needs.

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The inequality that can be used to find p is 7p -12 < 45.

What is a Triangle?

A triangle is a polygon with three sides, three angles, and three vertices.

The perimeter of the given triangle is at most 45 centimeters.

The perimeter of a triangle is equal to the sum of all sides.

The sides given is 3p-6 , 3p-6 ,p

So,

3p-6 +3p-6 +p < 45

7p -12 < 45

Hence the answer is, the inequality that can be used to find p is 7p -12 < 45.

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The equation of line passes through (-6,1) and has slope 6 will be y=6x+37.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the line passes through (-6,1) and has a slope of 6,

The equation of line passes through (-6,1) and has slope 6 is found as,

y-y₁=m(x-x₁)

y-1=6(x-(-6)

y-1=6(x+6)

y-1=6x+36

y=6x+36+1

y=6x+37

Thus, the equation of line passes through (-6,1) and has slope 6 will be y=6x+37.

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It is crystal size and rock texture.

Volcanic rocks are another name for extrusive rocks. According to their texture and mineral or chemical makeup, igneous rocks are categorized. The rate of cooling affects the texture of the rock. The crystals grow larger as the rock cools more slowly.

Thanks,

As the last answer for today.

Happy Thanksgiving

- Eddie E.

The length of the rectangle is 12 units long.

A rectangle is a geometric figure with equal opposite sides.

The angle between two consecutive sides is 90 degrees.

Area of ​​rectangle = length x width. Perimeter of rectangle = 2 (length + width).

let's assume,

length = l, width = w

Given the,

The length of the rectangle is 3 times the width

l = 3w

The difference in length and width is 8 feet

l-b = 8

According to equations 1 and 2

3w - w = 8

2w = 8

w = 4

Substitute into expression 1

l = 3(4)

l = 12 units.

So the rectangle is 12 units long.

your question is incomplete, but most probably the full question was

The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle's length

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Answer:

29/30

Step-by-step explanation:

29/30 as a percentage is %96.67 which is more than 90%

For the maximum area, the wire should be bent in the form of a circle and for the minimum area, the wire should bend into an equilateral triangle.

What is the area of any geometrical shape?

The area of a shape is the “space enclosed within the perimeter or within the boundary” of the given shape. We calculate the area for different shapes using math formulas.

Given that a piece of wire 10m long is cut into two pieces so now we have two wires with lengths of 5m and 5m.

One wire is bent into an equilateral so the perimeter of that triangle would be 3 m.

Perimeter = 3 m

3*side = 3 m

side = 1 m

Now the area of the equilateral triangle = [tex]A=\frac{\sqrt{3}}{4} $ $ \times $ (side)^2$[/tex]

                                                                   A = 0.4330 m² -----(I)

Now the circumference of the circle = 5 m

                     2π×r = 5

                      r = 5/2π

                      r = 0.7957 m.

Now the area of the circle = π×r²

                                           = 3.14 × (0.7957)²

                                           = 1.988 m² --------(II)

From (I) and (II), we can say that

Area of the equilateral triangle < Area of the circle

Hence, for the maximum area, the wire should be bent in the form of a circle and for the minimum area, the wire should bend into an equilateral triangle.

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