What is the reciprocal of 1 3/13

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

Let's solve your inequality step-by-step.

x+5≥10

x+5−5≥10−5

x≥5

Step-by-step explanation:

\( \longmapsto\sf x + 5 \geqslant 10\)

\( \longmapsto \sf x \geqslant 10 - 5\)

\( \longmapsto\bf x \geqslant 5\)

The correct statement regarding the relations in this problem is given as follows:

Only relation A could represent a linear relationship.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

From the first bullet point, we have that what classifies a linear relation is a constant rate of change.

For relation K, we have that it is not linear, as:

For relation R, we have that it is linear, as it has a constant rate of change.

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Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

Answer: 729x^6

Step-by-step explanation: I got this answer because I first multiplied the 3^3 which is 27

then the equation is 27x^3 times 3^3x^3. Then you do the same thing on the other side which is 27x^3. So 27x^3 times 27x^3. After that you multiple 27 and 27 which is 729, don’t forget your x^3 and x^3 which is x^6 so your answer is 729x^6.

Given:

There are given the formula;

Explanation:

We can see that the given formula is the area formula where r is the radius of the figure.

Then,

According to the concept, the given formula is in the area of a circle.

Final answer:

Hence, the correct option is A (Circle).

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 678400\\ P=\textit{original amount deposited}\dotfill & \$320000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 678400 = 320000[1+(0.07)(t)] \implies \cfrac{678400}{320000}=1+0.07t\implies \cfrac{53}{25}=1+0.07t \\\\\\ \cfrac{53}{25}-1=0.07t\implies \cfrac{28}{25}=0.07t\implies \cfrac{\frac{23}{25}}{0.07}=t\implies \boxed{16=t}\)

Answer:

x = 42

y = 21

Step-by-step explanation:

Since its a right triangle, we have:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

\(sin (60) = \frac{21\sqrt{3} }{x} \\\\x= \frac{21\sqrt{3} }{sin (60)} \\\\x= \frac{21\sqrt{3} }{\frac{\sqrt{3} }{2} } \\\\x = \frac{21\sqrt{3} *2 }{\sqrt{3} } \\\\x = 21*2\\\\x = 42\)

\(cos (60) = \frac{y}{x}\\\\cos (60) = \frac{y}{42}\\\\y = cos (60)*42 \\\\y = \frac{1}{2} * 42\\\\y = 21\)

Answer:

The coordinates of B are (5,2).

Step-by-step explanation:

Given that,

The midpoint of AB is M (4,-2).

The coordinates of A are (3,-6)

We need to find the coordinates of B. Let the coordinates of B are (x,y).

The mid point is given by :

\(M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\(4,-2)=(\dfrac{3+x}{2},\dfrac{y-6}{2})\\\\\dfrac{3+x}{2}=4\ \text{and}\ \dfrac{y-6}{2}=-2\\\\3+x=8\ \text{and}\ y-6=-4\\\\x=5,y=2\)

So, the coordinates of B are (5,2).

Answer:

Step-by-step explanation:

5 is the base

2 is the exponent

Answer:

d

Step-by-step explanation:

2*4.5=9

scale1:30

=9*30 =270

Convert to actual scale based on proportion of 1:30

4.5 x 30 = 135 inches

2 x 30 = 60 inches

135 x 60 = 8100 inches^2 though we need this in feet and because we solved for area we need to divide by 12in^2*12in*^2

8100/144 = 56.25 or roughly 56 ft^2

I hope this helps! Let me know if you have any questions. Have a very nice day/night :).

Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

in my opition is 2x(-7)

Step-by-step explanation:

hope it help

Answer:

  g(x) = 4, 6, 9, 13.5 for the x-values given

Step-by-step explanation:

The table and graph are attached.

The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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The value of sin(θ) is 0.31 and it lies in the third and fourth quadrants. if the value of the cosine of θ is −0.95.

cos(θ) = -0.95

To calculate the value of sin(θ), we can use the Pythagorean theorem:

\(sin^{2}\) (θ) +\(cos^{2}\) (θ) = 1

We can rearrange the Pythagorean identity to solve for sin(θ):

\(sin^{2}\) (θ)= 1 - \(cos^{2}\)

sin(θ) = ±\(\sqrt{1-cos^{2}}\) *(θ)---------  (equation 1)

Substitute the value of the cosine of θ = −0.95 in Equation 1

sin(θ) = ±\(\sqrt{1-cos^{2}}\) *(θ)

sin(θ) = ±\(\sqrt{(1 - 0.9025)}\)

sin(θ) = ±\(\sqrt{0.0975}\)

The positive value determines that the value is in the first and second quadrants, Negative shows the third and fourth quadrants.

sin(θ) = \(\sqrt{ 0.0975}\)

sin(θ) = 0.312

Therefore, we can conclude that the value of sin(θ) is 0.312.

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There are 250 candidates who sat for a written examination for a job, out of which 45 of them scored above 85%.The personnel division suggested that those candidates who have scored above 85% in the written examination could sit for interview. So, 82% of the candidates did not have a chance for the interview.

Therefore, the total number of candidates who have the chance of sitting for the interview would be 45. From the total number of candidates who sat for the examination (250), we can find out how many candidates will not have a chance for an interview.

We can get this number by subtracting the number of candidates who scored above 85% from the total number of candidates.

Mathematically, we can express this as:

Total number of candidates - Number of candidates who scored above 85% = Number of candidates who did not score above 85%.

250 - 45 = 205. Therefore, 205 candidates did not score above 85%, so they will not have a chance for an interview. Now, to find out what percentage of candidates did not have a chance for the interview, we need to use the formula for finding percentages.

Percentages = (Number of candidates who did not score above 85% ÷ Total number of candidates) × 100.

Therefore, Percentages = (205 ÷ 250) × 100

Percentages = 0.82 × 100.

Percentages = 82%. Therefore, 82% of the candidates did not have a chance for the interview.

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Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.

As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.

The y-coordinate is the vertical distance from the x-axis. Positive is up.

Answer:

The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.

Step-by-step explanation:

We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is

 \(S_{n}\)​ = 165000.

Let us find the amount as arithmetic series as follows:

4000 + 5000 + 6000

The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.

We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:

\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)

The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )

Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:

Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)

⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]

⇒ 2 x 165000 = n(8000 + 1000n - 1000 )

⇒ 330000 = n(7000 + 1000n)

⇒ 330000 = 7000n + \(1000n^2\)

⇒ \(1000n^2\) + 7000n - 330000 = 0

⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0

⇒  \(n^2\) + 7n - 330 = 0

⇒ \(n^2\) + 22n - 15n - 330 = 0

⇒ n( n + 22 ) - 15 ( n + 22 ) = 0

⇒ ( n + 22 )( n - 15 ) = 0

⇒ n = -22, n = 15

We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.

Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.

The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

The image of point R(5, -1) across the x-axis is R'(5, 1).

Reflective symmetry is a type of symmetry in which one half of an object reflects the other half. It is also known as mirror symmetry. Human faces, for example, are identical on both the left and right sides. Most butterflies have identical wings on both sides, left and right.

When a point is reflected across the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign. In other words, if a point (x, y) is reflected across the x-axis, the new point (x, y') has the same x-coordinate but a y-coordinate of -y.

To find the image of point R across the x-axis, we need to change the sign of its y-coordinate. Therefore, the x-coordinate of R' will be the same as the x-coordinate of R, which is 5, but the y-coordinate will be -(-1), which simplifies to:

y' = 1

Therefore, the image of point R(5, -1) across the x-axis is R'(5, 1).

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Answer:

english pls

Step-by-step explanation:

Answer:

metreyle ölçmek lazım WXQQDWRQCQ

Answer:

sorry  i dont know them all

2. The equation of a line in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept. Note the y-intercept occurs when x=0 or at the point (0,b). Step 2. Substituting m=-5 and b=2, we have y=-5x+2.

A. 5.72 > 4.75

B. 36.2 > 36.12

C. 9.18 < 9.19

D. 7.6 = 7.60

E. 0.8243 > 0.82

F. 0.43 > 0.425

G. 125.6 > 120.8

H. 7.219 < 7.229

I. 0.991 = 0.99100

J. 0.2 > 0.02

L. 01.4 < 110.4

M. 0.031 = 0.310

I couldn't solve for K because the options are not given properly.

Do comment if you have any query.

Hope it helps.

Note: Your exponential expression seems a little unclear. Because 27 is not an exponential expression.

But, I am assuming that your exponential expression is:

The reason is that my solution would still clear your concept about this topic, no matter what the question is.

Answer:

The simplified value of the exponential expression is:

\(27^{\frac{1}{3}}=3\)

Step-by-step explanation:

Assuming the exponential expression

\(\:27^{\frac{1}{3}}\)

\(\mathrm{Factor\:the\:number:\:}\:27=3^3\)

\(=\left(3^3\right)^{\frac{1}{3}}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\)

\(\left(3^3\right)^{\frac{1}{3}}=3^{3\cdot \frac{1}{3}}\)

\(=3^{3\cdot \frac{1}{3}}\)

\(=3^1\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a\)

\(=3\)

Therefore, the simplified value of the exponential expression is:

\(27^{\frac{1}{3}}=3\)