divide and answer in simplest form 8 5/2 =?

Answer:

8 degrees

Step-by-step explanation:

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Answer:

8°

Step-by-step explanation:

True, The given statement is true, i.e., a process range chart (R-chart) illustrates the amount of dispersion within the samples.

The process range chart (R-chart) is a type of statistical control chart used to determine if a process is under statistical control. It's used to keep track of the changes in the variation in the process over time. It illustrates the amount of dispersion within the samples.

Therefore, we can conclude that the given statement is true, i.e., a process range chart (R-chart) illustrates the amount of dispersion within the samples.

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Answer:

\(525\pi\)

Step-by-step explanation:

Volume of a cylinder is given by the function \(v=\pi r^{2}h\)

where v is volume, r is radius and h is height.

In order to find the radius we just divide the diameter in half and get

\(\frac{10}{2} =5=r\)

now we just plug the values in the formula

\(v=\pi r^{2}h\\=\pi (5^{2})(21)\\=\pi (25)(21)\\=525\pi\)

Answer:

Volume of a cylinder: V = π (r^2) h

Step-by-step explanation:

First, find your radius and your height.

H = 21

D = 10

R = 1/2 d = 5

Then plug them into the equation: V = π (r^2) h

V = π (5^2) 21

V = π (25) 21

V = π (25 x 21)

V = π (525)

V = 525π

The rule for the nth term of the geometric sequence is given as follows:

\(a_n = 2^n\)

Hence the 10th term of the sequence is given as follows:

1024.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_0q^{n}\)

In which \(a_0\) is the first term.

The parameters in this problem are given as follows:

Hence the rule is given as follows:

\(a_n = 2^n\)

Hence the 10th term of the sequence is given as follows:

2^10 = 1024.

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a. If the null hypothesis is rejected, the alternative hypothesis is accepted, and the outcomes are statistically significant.

b. When the null hypothesis is not rejected, the alternate hypothesis is not accepted, and it does not imply that the null hypothesis is true; instead, it means that the available evidence is insufficient to establish a statistically significant difference between the data and the null hypothesis.

The claim, "The mean incubation period for the eggs of a species of bird is at least 31 days" represents the alternative hypothesis.

How to interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis?

If the null hypothesis is rejected, the alternative hypothesis is accepted, and the outcomes are statistically significant.

When the null hypothesis is not rejected, the alternate hypothesis is not accepted, and it does not imply that the null hypothesis is true; instead, it means that the available evidence is insufficient to establish a statistically significant difference between the data and the null hypothesis.

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The equation 6(x + 5) = 6x + 5 has NS (No Solution) and the equation -4x = 7x - 33 has IM (Infinite Many solutions).

Let us take the given equation

6(x + 5) = 6x + 5

⇒ 6x + 30 = 6x + 5

⇒ 6x - 6x = 5 - 30

⇒ 0 = -25

Hence, the given equation has No Solution (NS)

Let us take the given equation

-4x = 7x - 33

-4x - 7x = -33

-11x = -33

x = 3

Hence, the given equations has Infinite Many solutions (IM)

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The correct answer is option 3: 2250. To calculate the number of different clients that can be identified with a coding system we need to multiply the number of options for each component.

For the two-letter component, there are five options (A, D, R, S, U) that can be chosen for each letter. Since repetition is allowed, there are 5 choices for the first letter and 5 choices for the second letter. Therefore, there are 5 x 5 = 25 possible combinations of two letters.

For the two-digit component, there are 10 options (0-9) for the first digit. Since no digit can be repeated, there are 9 options for the second digit (one less than the available options). Therefore, there are 10 x 9 = 90 possible combinations of two digits.

To calculate the total number of different clients that can be identified, we multiply the number of options for the two-letter component (25) by the number of options for the two-digit component (90). This gives us a total of 25 x 90 = 2250 different clients that can be identified with the coding system.

#A company uses a coding system to identify its clients. Each code is made up of two letters and a sequence of digits, for example AD108 or RR45789 The letters are chosen from A;D; R; S and U. Letters may be repeated in the code. The digits 0 to 9 are used, but NO digit may be repeated in the code. The number of different clients that can be identified with a coding system that is made up of TWO letters and TWO digits is: 1. 2230 2. 2240 3. 2250 4. 2210 22

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Answer:

its 3 and 4

Step-by-step explanation:

Answer:

2 and 3

Step-by-step explanation:

(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

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Answer:

B. Circle

Step-by-step explanation:

The solutions to the given equation on the interval 0≤x<2π. −8sin(5x)=−4√ 3 The solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To find the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π, we can start by isolating the sine term.

Dividing both sides of the equation by -8, we have:

sin(5x) = √3/2

Now, we can find the angles whose sine is √3/2. These angles correspond to the angles in the unit circle where the y-coordinate is √3/2.

Using the special angles of the unit circle, we find that the solutions are:

x = π/3 + 2πn

x = 2π/3 + 2πn

where n is an integer.

Since we are given the interval 0 ≤ x < 2π, we need to check which of these solutions fall within that interval.

For n = 0:

x = π/3

For n = 1:

x = 2π/3

Both solutions, π/3 and 2π/3, fall within the interval 0 ≤ x < 2π.

Therefore, the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

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The length of the square is 9 inches when a rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

Given that,

A rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

We have to find the square's side length should be determined.

We know that,

Let us take the length of the square as x.

So,

The length of one side of a square is increased by 1 inch means

x+1

The length of other side of the square is diminished by 2 inch to form a rectangle means

2x

The area of the rectangle is length × breath.

180=(x+1)(2x)

2x²+2x-180=0

x²+x-90=0

x²+10x-9x-90=0

x(x+10)-9(x+10)=0

(x+10)(x-9)=0

We get,

x+10=0 ⇒ x=-10

x-9=0 ⇒ x=9

The length can not be negative so x=9

Therefore, The length of the square is 9 inches when a rectangle with a surface area of 180 inches is created by lengthening one side of a square by 1 inches and shortening another by 2 inches.

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Answer:

6

Step-by-step explanation:

6 is the answer my guy

Answer:  The area = 234 \(cm^{2}\)

Step-by-step explanation:

Breadth = 13cm

Length = Breadth + 5cm = 13cm + 5cm = 18cm

Area = Length x Breadth

Area = 13 x 18 = 234\(cm^{2}\)

Answer:

Step-by-step explanation:

Here, the breadth is 5 cm less than the length of the rectangle.

Let, the length = x cm

 So, the breadth = (x-5) cm

given,

         x - 5 = 13

 or,  x = 18 cm

so the length = 18 cm

Area = length × breadth

         = 18 × 13

         = 234 cm²

Therefore, The area of the rectangle = 234 cm²

Answer: Alternative optimal

Step-by-step explanation:

Alternative optimal solution means that

there are several optimal solutions that can be used to get identical objective function value.

Therefore, a scenario whereby the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region will lead to alternative optimal solution.

Answer:

Step-by-step explanation:

a)

If we implement the combinations recursively without memoization, then the running time would be exponential in n.

Time Complexity:

If we implement this equation literally, as a recursive program, then the running

time of our algorithm without using memoization, T(n), as a function of n, has the following behavior:

T(0) = 1

T(1) = 1

T(n) = T(n − 1) + T(n − 2).

But this implies that

T(n) ≥ 2T(n − 2) = 2^(n/2).

b)

But if we store the combinations in an array, C[][], then we can instead calculate the combinations, C(n,k), iteratively, as follows:

C[0,0] = 0

C[1,1] = 1

for i = 2 to n do

C[n,k] = C[n-1, i−1] + C[n-1,k]

This algorithm clearly runs in O(n) time, and it illustrates the way memoization

can lead to improved performance when subproblems overlap and we use table

lookups to avoid repeating recursive calls.

Answer:

4

Step-by-step explanation:

Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5

1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5

2. Δ=(−2)2−4⋅(0)⋅(5)=4=4

3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4

Answer:

111

Step-by-step explanation:

555÷5=111
and just to check, 5×111=555

Answer:

555 divided by 5 = 111

Step-by-step explanation:

This is common knowledge. The 5 in the hundreds place is divisible by 5 to get a quotient of 1. The 5 in the tens place is also divisible by 5 to get a quotient of 1 and the same is equally true for the 5 in the ones place.

Hence, the quotient of 555/5 = 111

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The areas of the compound figures are following;

1). The area of the compound figure,

= 121.12 square feet.

2). The area of the compound figure = 128 square meters.

3). The area of the compound figure = 69 square centimeters.

4). The area of the compound figure,

= 53.12 square feet.

5). The area of the compound figure,

= 63 square meters.

6). The area of the compound figure,

= 108 square yards.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

The area of the compound shapes can be calculated by the following process,

1). The area of the compound figure,

= (12 x 8) + (1/2 x 3.14 x 4 x 4)

= 121.12 square feet.

2). The area of the compound figure,

= (13 x 8) + (1/2 x 8 x 6)

= 128 square meters.

3). The area of the compound figure,

= (11 x 4) + (5 x 5)

= 69 square centimeters.

4). The area of the compound figure,

= (1/2 x 3.14 x 4 x 4) + (1/2 x 8 x 7)

= 53.12 square feet.

5). The area of the compound figure,

= (7 x 7) + (1/2 x 7 x 4)

= 63 square meters.

6). The area of the compound figure,

= (12 x 6) + (6 x 6)

= 108 square yards.

Therefore, all the areas are given above.

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Answer:

8,12

Step-by-step explanation:

Answer:

Slope = -5/2 OR = -2.5

Step-by-step explanation:

Given co-ordinates:

We could easily find the slope through the formulae of slope, that is:

\( \rm \: m(slope) = \cfrac{y_2 -y_1 }{x_2 - x_1} \)

According to the question we can identify:

Plug the values into the slope formulae:

\( \rm \: m = \cfrac{7 - 12}{4 - 2} \)

\( \rm \: m = \boxed{\cfrac{ - 5}{2}} = \boxed{ - 2.5}\)

Therefore the slope is -5/2 or -2.5.

________________________________

Regards,Hannah

Given that the expression in the question is \(\displaystyle x^{\frac{5}{2} }\), the equivalent expression

can be found using the rules of indices.

Reasons:

The given expression is \(\displaystyle x^{\frac{5}{2} }\)

Required:

To find the equivalent expression

Solution:

According to the rules of indices, we have;

\(a^{n + m} = a^n \times a^m\)

\(a^{\frac{n}{m} } = \sqrt[m]{a^n}\)

Therefore, the above expression can be expanded as follows;

\(\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}\)

\(\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}\)

Which gives;

\(\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}\)

Therefore;

\(\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}\), which is the form \(a^{\frac{n}{m} } = \sqrt[m]{a^n}\)

\(\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}\)

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The correct answer is (b) only believe those statistics that are adequately supported.The best approach is to use critical thinking and assess the support for each statistic before accepting it as true.

When reading published statistics, it's important to be critical and evaluate their reliability. Not all statistics are created equal, and some may be biased, misleading, or based on flawed data.

One way to do this is to look for adequate support for the statistics. This means checking the source of the statistics, the methodology used to collect and analyze the data, the sample size and demographics, and any potential biases or limitations. If the statistics are adequately supported, then they are more likely to be accurate and trustworthy.

In contrast, it's not wise to automatically believe or reject all statistics without careful evaluation. Similarly, just because statistics are published doesn't mean they are correct or reliable.

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The length of the bacteria should be written in scientific notation.

0.00365 in scientific notation = 3 × 10^-3

Given.

length of the bacteria in decimal = 0.00365 cm long

Scientific notation is written in the format x × 10ⁿ

where,

x = any number between digit 1 and 10

n = exponent (positive or negative).

In this case, the nearest significant value is 3

So move the decimal point three times to where 3 is

That is,

0.00365 = 3.65

Since the decimal point is moved to the right 3 times, n = - 3

we have 10^-3

Therefore,

0.00365 in scientific notation = 3 × 10^-3

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Using sampling concepts, the representative sample is given as follows:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the population is all seventh graders, hence the sample has to be representative of all seventh graders. Thus the correct option is:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

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Answer:

Se puede resolver el sistema de ecuaciones por sustitución, igualación o determinante. La solución de este sistema es \((x,y) = \left(2,\frac{3}{5} \right)\).

Step-by-step explanation:

Sea el sistema de ecuaciones que se describe abajo:

\(x+5\cdot y = 5\) (1)

\(3\cdot x -5\cdot y = 3\) (2)

Existen por lo menos tres métodos analíticos para la resolución de este sistema de ecuaciones:

(i) Sustitución

Despejamos \(x\) en (1):

\(x = 5-5\cdot y\)

Aplicamos la expresión resultante en (2):

\(3\cdot \left(5-5\cdot y\right)-5\cdot y = 3\)

Luego, resolvemos la ecuación resultante:

\(15 - 15\cdot y -5\cdot y = 3\)

\(-20\cdot y = -12\)

\(y = \frac{3}{5}\)

Luego, determinamos el valor de \(x\):

\(x = 2\)

(ii) Igualación

Despejamos \(5\cdot y\) en cada expresión:

\(5\cdot y = 5 - x\) (3)

\(5\cdot y = 3\cdot x - 3\) (4)

Ahora, igualamos (3) y (4) y simplificamos:

\(5-x = 3\cdot x -3\)

\(4\cdot x = 8\)

\(x = 2\)

Finalmente, calculamos \(y\) en (3):

\(y = 1 - \frac{x}{5}\)

\(y = \frac{3}{5}\)

(iii) Determinante

Aplicamos las siguientes fórmulas para determinar cada variable:

\(x = \frac{\left|\begin{array}{ccc}5&5\\3&-5\end{array}\right| }{\left|\begin{array}{ccc}1&5\\3&-5\end{array}\right|}\)

\(x = \frac{-25-15}{-5-15}\)

\(x = 2\)

\(y = \frac{\left|\begin{array}{ccc}1&5\\3&3\end{array}\right| }{\left|\begin{array}{ccc}1&5\\3&-5\end{array}\right|}\)

\(y = \frac{3-15}{-5-15}\)

\(y = \frac{3}{5}\)

Por ende, concluimos que la solución de este sistema es \((x,y) = \left(2,\frac{3}{5} \right)\).

La solución de la ecuación x + 5y = 5 y 3x - 5y = 3 es (2, 0.6)

Ecuación

Una ecuación es una expresión utilizada para mostrar la relación entre dos o más números o variables.

Dadas las ecuaciones:

x + 5y = 5 (1)

Y:

3x-5y = 3 (2)

Resolviendo ambas ecuaciones 1 y 2 simultáneamente da:

x = 2, y = 0,6

La solución de la ecuación x + 5y = 5 y 3x - 5y = 3 es (2, 0.6)

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\(\dfrac{2}{9} = 2\div 9 = 0.2222222222222...\)

x is 2.

Answer:

$8.72

Step-by-step explanation:

Since the tax rate is 9% of the lunch cost, the tax for this lunch is .72 dollars since 9% of 8 is 0.72(see math below). You add the 0.72 to 8 and the total cost is $8.72.

8 x (9/100) = tax

8 x 0.09 = 0.72

8+0.72 = $8.72

Answer:

\(yes \\ 1 : 3 = 3 : 9\)

Step-by-step explanation:

yes.

\(1 : 3 = 3 : 9\)

Let see how is it possible,

\(3 \times 1 : 3 \times 3 = 3 :9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 9 = 3 : 9\)

Also,

\(1 : 3= 3 \div 3 : 9 \div 3 \\ 1 : 3 = 1 : 3\)

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