8 and 3/4 into mixed number​

3.6 germs would survive when the disinfectant is applied to an object with 18000 germs.

Disinfectant are formulated to destroy the activities of microorganisms.  If a disinfectant kills 99.98% of germs, it means that only 0.02% of germs survive after the application of the disinfectant. To find out how many germs would survive after applying the disinfectant to an object with 18000 germs, we need to calculate 0.02% of 18000.

0.02% of 18000 can be calculated as follows:

0.02/100 x 18000 = 3.6

Therefore, 3.6 germs would survive when the disinfectant is applied to an object with 18000 germs.

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Answer:

24 unit

Step-by-step explanation:

From the question,

The 2 points is given as g (15,7) and h (-9,7)

The distance between two point is given as

d = √[(x₂-x₁)²+(y₂-y₁)²]...........................

Given: x₂ = -9, x₁ = 15, y₂ = 7, y₁ = 7

Substitute these values into equation 1

d = √[(-9-15)²+(7-7)²]

d = √[(-24)²+(0)²]

d = √576

d = 24 unit.

Given the function `f(x) = sqrt(2x-4)` for the domain `[2, ∞)`1. Find f¹(x), where f¹ is the inverse of f:Let

`y = f(x)

= sqrt(2x-4)`To find the inverse, let us first interchange `x` and `y` in the above equation to get

`x = sqrt(2y - 4)`

Now we need to solve for `y`.Squaring both sides, `x² = 2y - 4`or `

y = (x² + 4)/2`.Therefore, the inverse of `f(x)` is `

f¹(x) = (x² + 4)/2`.-1. Also state the domain off in interval notation: Given

`f(x) = sqrt(2x-4)` for the domain `[2, ∞)`.Let us find the domain of `f¹(x)`.To find the domain of `f¹(x)`, we need to determine the range of `f(x)`.The function

`f(x) = sqrt(2x - 4)` is defined for all values of `x` such that `2x - 4 ≥ 0` or `x ≥ 2`.

Therefore, the domain of `f(x)` is `[2, ∞)`.Now, the range of `f(x)` is `[0, ∞)`.The domain of `f¹(x)` is the range of `f(x)`.Therefore, the domain of `f¹(x)` is `[0, ∞)`.Thus, the domain of `f¹(x)` in interval notation is `[0, ∞)`.

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Answer:

x=7

Step-by-step explanation:

both of these triangles are about equivalent so we just have to imagine that triangle NMK is turned like the TRP

The corresponding side for TR is NM so we can set them equal to each other

3x-1=20

    +1.  +1

3x=21

/3.  /3

X=7

Hopes this helps please mark brainliest

The researcher should use a sample size of approximately 312 middle school students to conduct the research.

To determine the sample size needed for the researcher to create a 95% confidence interval with a margin of error of 0.5 days, we can use the formula:

\(\[ n = \left(\frac{Z \cdot \sigma}{E}\right)^2 \]\)

Where:

- \(\( n \)\) is the sample size

- \(\( Z \)\) is the z-score corresponding to the desired confidence level (for 95% confidence, Z is approximately 1.96)

- \(\( \sigma \)\) is the known standard deviation of the population

- \(\( E \)\) is the desired margin of error

Plugging in the values, we get:

\(\[ n = \left(\frac{1.96 \cdot 4.5}{0.5}\right)^2 \]\)

To solve the equation for the required sample size, we can substitute the given values into the formula:

\(\[ n = \left(\frac{1.96 \cdot 4.5}{0.5}\right)^2 \]\)

Calculating this expression gives us:

\(\[ n = \left(\frac{8.82}{0.5}\right)^2 \]\)

\(\[ n = (17.64)^2 \]\)

\(\[ n \approx 311.1696 \]\)

Therefore, the researcher should use a sample size of approximately 312 middle school students to conduct the research.

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The commutative property of disjunction is true if and only if both propositions have the same truth value in the disjunction table. The statement is formally expressed as follows: P ∨ Q ≡ Q ∨ P. The distributive property of disjunction over conjunction is represented as: P ∨ (Q ∧ R) ≡ (P ∨ Q) ∧ (P ∨ R). The commutative property of conjunction is expressed as follows: P ∧ Q ≡ Q ∧ P. The associative property of conjunction is expressed as follows: P ∧ (Q ∧ R) ≡ (P ∧ Q) ∧ R.

The commutative property of disjunction is true if and only if both propositions have the same truth value in the disjunction table. The statement is formally expressed as follows: P ∨ Q ≡ Q ∨ P. To prove this, we will use a truth table:

Disjunction Commutative Property: Truth Table of Disjunction Commutative Property PQ(P ∨ Q)(Q ∨ P) TTTTFTTFTTTFFFTFFThe associative property of disjunction can be proven using a truth table and is represented as:P ∨ (Q ∨ R) ≡ (P ∨ Q) ∨ RPQR(P ∨ Q) ∨ RP ∨ (Q ∨ R)TTTTTTTFFTTTTTFTTFTTTTFTTTTFFTFFTFFFTFFFTFFTTFF

The distributive property of disjunction over conjunction is represented as: P ∨ (Q ∧ R) ≡ (P ∨ Q) ∧ (P ∨ R). The truth table is as follows: Distributive Property of Disjunction Over Conjunction Truth Table PQRQ ∧ RP ∨ (Q ∧ R)(P ∨ Q)(P ∨ R) TTTTTTTTFTTTTTFTTFTTTTFTTFFTFFFTFFFTFFTTFFTTFFFTFFTFFTFFFTFF.  

The commutative property of conjunction is expressed as follows: P ∧ Q ≡ Q ∧ P To prove this statement, the truth table is used. Commutative Property of Conjunction Truth Table PQP ∧ QQ ∧ PTTTTTTFTTFTTTFTTFFTFFFTFFFTFFTTFFTTFFTTFFTFFTFFFTFF.

The associative property of conjunction is expressed as follows: P ∧ (Q ∧ R) ≡ (P ∧ Q) ∧ R To prove this statement, the truth table is used. Associative Property of Conjunction Truth Table PQRQ ∧ RP ∧ (Q ∧ R)(P ∧ Q) ∧ RP ∧ (Q ∧ R) TTTTTTTTFTTTTTFTTFTTTTFTTFFTFFFTFFFTFFTTFFTTFFFTFFTFFTFFFTFF

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Answer: x+y=23, 3x+2y = 55 x + y = 55, 3x + 2y = 55 x+y=23, 2x+3y= 55 x+y=55, 2x+3y =23

Step-by-step explanation: The question said the sum is x+y so if the sum is 55, x+y=55

Answer:

I'm pretty sure its 180 !!

Answer:

la pregunta está en blanco, ¿podría repetirla?

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

Slope = 1

▹ Step-by-Step Explanation

y = mx + b

'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

\( \frac{x - 8}{3x} - \frac{3x}{ {x}^{2} } \\ \\ \frac{x - 8}{3x} - \frac{3}{x} \\ \\ \frac{x - 8 - 9}{3} \\ \\ \frac{ x - 17}{3x} \)

Answer:

\( \\ \frac{x - 8}{3x} - \frac{3x}{ {x}^{2} } \)

\( \\ = \frac{x - 8}{3x} - \frac{3 {\cancel{x}}}{{ \cancel {x^2} }} \)

\( \\ = \frac{x - 8}{3x} - \frac{3}{x} \)

\( \\ = \frac{x - 8 - 9}{3} \)

\( \\ = \frac{x - 17}{3x} \)

Answer:

Reflection across the line y=-x

Step-by-step explanation:

Answer:

04x=24

Step-by-step explanation:

04x=24

divide both sides by 4 to let x stand alone

04x÷4=24÷4

x=6

Answer:

10

Step-by-step explanation:

1/2x = -3

x = -6

4x + 34

4*(-6) + 34

-24 + 34 = 10

Answer:

3

Step-by-step explanation:

2²-2÷2

4-2÷2

=3

hope this helps

The probability to obtain the sum of two rolled dice as a multiple of 6 or a multiple of 4 is 13/36.

When comparing the likelihood of an outcome to all other possible outcomes, we use a sort of ratio known as probability.

Given that a dice is rolled twice. Sum of the two rolls has following possibilities,

2,3,4,5,6,7,8,9,10,11,12

A multiple of 6 is obtained when the sum is either 6 or 12.

Sum of 6 is obtained when the two rolls are (1,5) , (2,4) , (3,3), (4,2) , (5,1)

Probability for each is 1/36. Therefore total probability to obtain sum of 6 is 5/36.

Sum of 12 is obtained only when the two rolls (6,6).

Probability to obtain sum of 12 is therefore 1/36.

Similarly for a sum of 4, the probability is 3/36.

For a sum of 8, the probability is 4/36.

Therefore the required probability is the sum of above calculated probabilities,

Required probability = 5/36 + 1/36 + 3/36 + 4/36 = 13/36

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Answer: 27x to the power of 6, y to the power of 12

Step-by-step explanation:

Look at picture because the actual explanation is way too long.

Answer:

3349.5 \(cm^{3}\)

Step-by-step explanation:

see image

The equation given by Jill and Joel both are correct. Option C .

The line passing through the points (2, -1) and (-1, 14).

The equation of a line passing through a point \((x_1, y_1)\) is \(y-y_1=m (x-x_1)\) where m is the slope.

To find the slope m, using slope formula.

\(m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{14-(-1)}{-1-3} \\m=-5\)

Further simplify,

Substitute the values in the given formula.

\(y-y_1=m(x-x_1)\\y-(-1)=-5(x-2)\\y+1=-5(x-2)\)

Further simplify,

5x+y=9

Both the equations are correct.

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The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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The rate at which the average revenue is changing when 176 belts have been produced and sold is approximately 0.3433 dollars per belt.

To find the rate at which average revenue is changing, we need to calculate the derivative of the revenue function, R(x), and evaluate it at x = 176.

Given that \(R(x) = 35x^(9/10),\) we can differentiate it using the power rule:

\(R'(x) = d/dx [35x^(9/10)]\)

Applying the power rule, the derivative is:

\(R'(x) = 35 * (9/10) * x^((9/10)-1)\)

Simplifying further, we have:

\(R'(x) = 35 * (9/10) * x^(-1/10)\)

\(R'(x) = (315/10) * x^(-1/10)\)

Now, we can evaluate the derivative at x = 176:

\(R'(176) = (315/10) * 176^(-1/10)\)

Calculating this expression, we find:

R'(176) ≈ 0.3433

Therefore, the rate at which the average revenue is changing when 176 belts have been produced and sold is approximately 0.3433 dollars per belt.

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Answer:

57.12 cm²

Step-by-step explanation:

area = (9.28 + 5) × 8/2

= 14.28 × 4 = 57.12 cm²

Therefore , the solution of the given problem of parallelograms comes out to be NM and OL both equal 37.

In Euclidean mathematics, a parallelogram is actually a simple hexagon with two distinct groups and equal distances. A specific kind of quadrilateral called a parallelogram is formed when both sets of sides equally share a horizontal path. Parallelograms come in four different varieties, three of which are mutually exclusive.

Here,

Since LMNO is a parallelogram, we know that the lengths of the opposing sides are identical. Therefore, we can equalize the NM and OL formulas, then solve for x:

=> OL = 4x + 9 and

=>  NM = x + 30

=>  OL = x + 30

=> 4x + 9 = NM

=>  3x = 21

=>  x = 7

We have thus established that x = 7. In order to discover the values for NM and OL, we can put this value back into the expressions for those variables:

=> NM = x + 30 = 7 + 30 = 37

=>  OL = 4x + 9 = 4(7) + 9 = 37

As a result, NM and OL both equal 37.

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It is important to know that the definition of the parabola is

Where p represents the focus coordinate, so p = 3. Also, we know that y = 12, let's find x

But, the wide of the lamp is 2x, so

Answer:

Step-by-step explanation:

The value of the car decreases by 7% each year, which means that after one year, the car will be worth 93% of its original value (100% - 7% = 93%). Therefore, after 6 years, the car will be worth:

$13,000 x 0.93 x 0.93 x 0.93 x 0.93 x 0.93 x 0.93 = $7,725.46

So, after 6 years, the car will be worth approximately $7,725.46.

The equation for the materials quantity variance is (AQ × AP) – (SQ × SP).

The materials quantity variance is a measure of the difference between the actual quantity (AQ) of materials used and the standard quantity (SQ) of materials that should have been used, multiplied by the standard price (SP) per unit. The variance indicates whether more or fewer materials were used compared to the standard, and it quantifies the cost impact of the difference.

The formula (AQ × AP) – (SQ × SP) calculates the materials quantity variance by multiplying the actual quantity (AQ) by the actual price (AP) per unit and subtracting the product of the standard quantity (SQ) and the standard price (SP) per unit. This formula directly compares the actual and standard quantities and calculates the cost impact of any deviations.

Therefore, the correct equation for the materials quantity variance is (AQ × AP) – (SQ × SP).

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Events a and b are not independent. The probability of both events occurring is 0.2, which is less than the product of their individual probabilities (0.7 x 0.4 = 0.28).

If events a and b were independent, the probability of both events occurring would be the product of their individual probabilities (P(a) x P(b)). However, in this scenario, the probability of both events occurring is 0.2, which is less than the product of their individual probabilities (0.7 x 0.4 = 0.28). This suggests that the occurrence of one event affects the occurrence of the other, indicating that they are dependent events.

Independence between events a and b refers to the idea that the occurrence of one event does not affect the probability of the other event occurring. In other words, if events a and b are independent, the probability of both events occurring is equal to the product of their individual probabilities. However, in this scenario, we are given that the probability of event a occurring is 0.7, the probability of event b occurring is 0.4, and the probability of both events occurring is 0.2. To determine whether events a and b are independent, we can compare the probability of both events occurring to the product of their individual probabilities. If the probability of both events occurring is equal to the product of their individual probabilities, then events a and b are independent. However, if the probability of both events occurring is less than the product of their individual probabilities, then events a and b are dependent.

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The program simulates multiple particles and calculates the distribution of their final locations after taking a specified number of steps. It then calculates the proportion of particles that lie within a certain distance  reached by the particles.

The program in C utilizes a random number generator to determine the direction of each step taken by the particle. It starts at the origin (0, 0, 0) and randomly selects one of the six possible directions for each step. After the specified number of steps, it records the final location of the particle. This process is repeated for multiple particles to gather a statistically significant sample.

The program calculates the distance between each particle's final location and the origin using the Euclidean distance formula. It then determines the proportion of particles that lie within various distances from the origin, ranging from 0.05 to 1.00 in increments of 0.05. This distribution of proportions provides insights into the diffusion process and the spread of particles from the origin.

By running the program with different values for the number of steps and the number of particles, one can observe how the distribution changes and gain a better understanding of the diffusion process.

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The singular value decomposition of a matrix A is given by A = UΣV^T, where U is an orthogonal matrix, The singular value decomposition (SVD) of the matrix A = [1 1 0; 1 1 0; 0 0 1] can be found, and it can be verified that the matrix Σ is equal to the singular values of A.

The singular value decomposition of a matrix A is given by A = UΣV^T, where U is an orthogonal matrix, Σ is a diagonal matrix containing the singular values of A, and V^T denotes the transpose of the orthogonal matrix V.

To find the SVD of matrix A, we first calculate A^TA, which yields [2 2 0; 2 2 0; 0 0 1]. The eigenvalues of A^TA are λ1 = 3 and λ2 = 0, with corresponding eigenvectors u1 = [1 1 0]^T and u2 = [0 0 1]^T, respectively.

Normalizing the eigenvectors, we obtain U = [1/√2 0; 1/√2 0; 0 1].

Next, we calculate AA^T, which gives [2 2; 2 2]. The eigenvalue of AA^T is λ = 4, with the corresponding eigenvector v = [1 1]^T.

Normalizing the eigenvector, we have V = [1/√2 1/√2].

The diagonal matrix Σ is constructed using the square root of the eigenvalues, resulting in Σ = [√3 0 0; 0 0 0].

Verifying that A = UΣV^T, we multiply U, Σ, and V^T and obtain the original matrix A, confirming the validity of the SVD.

Therefore, it is verified that Σ is equal to the singular values of matrix A

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