How many milliliters of a 46 % salt solution do we need to mix with
6 milliliters of a 35% salt solution so that the resulting mixture is a
43 % salt solution?

THANKS! I WILL GIVE 100 POINTS!

Answer:

Step-by-step explanation:

So for the 1st one you're going to use your protractor and line it up so that BC is at 0 degrees, that way you can look at the point A to determine the angle. Now that you have the angle you're going to take your protractor and draw one point which will be where the two lines meet, line this up in the middle and then draw a point at 0 degrees and a point at the angle you found. Now draw another point at half the angle (like in the previous answer I answered). Draw a line from the middle point and connect it to all these three points (4 in total but one of them is going connected to all of them, like the point B in the image you sent).

For the second question you're going to take the angle you found in the first answer and multiply it by 2. Now start off by drawing a middle point which will connect the two other lines. Line up your protractor so that point is at bottom but in the middle (Check my photo for clarification). Now go to the value that is twice the angle and draw a point there, and also draw a point at 0 degrees) and then connect the two points to the middle point.

For question 3 you don't really need the hint, all you need is to multiply the angle by 1.5 but I'll send another image explaining what it's trying to explain.

Answer:One is 2 feet and one is 4 feet

Step-by-step explanation:

The minimum sample size needed for 95% confidence that the sample variance is within 5% of the population variance is given by n = (1.96² * σ²) / (0.05²).

The minimum sample size needed to be 95% confident that the sample variance is within 5% of the population variance can be calculated using the formula:

n = (Z² * σ²) / (E²)

where:

n is the minimum sample size,

Z is the z-score corresponding to the desired confidence level (in this case, 95% confidence corresponds to a z-score of approximately 1.96),

σ² is the population variance, and

E is the maximum allowable difference between the sample variance and the population variance (expressed as a proportion of the population variance).

The formula ensures that the desired confidence level is achieved while limiting the difference between the sample and population variances within the specified threshold.

In summary, to determine the minimum sample size needed to be 95% confident that the sample variance is within 5% of the population variance, you can use the formula n = (1.96² * σ²) / (0.05²), where σ² represents the population variance.

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Answer:

the height of the water in Container B is 22.48 feet.

Step-by-step explanation:

Answer:

(a)V=36πh

Explanation:

• Radius = 6 meters

Part A

An equation that represents the volume V as a function of the height h is:

Part B

Using 3.14 as an approximation for π

The graph of the function is attached below: (V is on the y-axis and h is on the x-axis).

Part C

The initial equation for volume is:

When h=1

If you double the height of a cylinder, h=2:

We observe that when the height is doubled, the volume of the cylinder is also doubled.

Part D

The initial equation for volume is:

If the height of the cylinder is multiplied by 1/3, we have:

The volume of the cylinder will be divided by 3.

Using the graph, we observe a horizontal stretch of the graph by 1/3.

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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Answer:

Bag B which is $150 for one orange

Step-by-step explanation:

In ,bag A 12 oranges cost 2400

The price of one orange in bag A is

= 2400/12

= $200

In bag B 20 oranges cost $3000

The cost of one orange in bag B is

= 3000/20

= $150

Hence the better buy is bag B which goes for $150 for one orange

Answer:

not necessarily

Step-by-step explanation:

Answer:

predict the impact of removing snakes from this food web

Free samples or product trials as a type of sales promotion can be both beneficial and detrimental. They encourage consumers to try a product at reduced risk, but they can also reduce the perception of value for the product or service.

Offering free samples or product trials is a common sales promotion strategy to attract customers and encourage them to try a product or service. This approach has several benefits. Firstly, it lowers the perceived risk for consumers as they can experience the product without making a financial commitment upfront. This can be especially effective for new or unfamiliar products, as it allows potential customers to test the product's quality and functionality.

However, there can be drawbacks to this sales promotion technique. Providing free samples or trials can create the perception that the product or service has less value or is of lower quality. Consumers may develop a mindset of expecting free or discounted offerings, and it can undermine the willingness to pay the full price in the future. Additionally, if the free samples or trials are not managed effectively, it may attract individuals who are not genuinely interested in the product, leading to wastage of resources and potentially diluting the brand image.

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Answer:

300

Step-by-step explanation:

Total= 40+96+2*30+104= 300

Answer:

a) 13%

b) 45%

c) 16%

Step-by-step explanation:

To calculate what percentage is one number (a) of another (b), you have to divide a by b and then multiply result by 100. In this case number of students with grade A is 4, total number of students is 31,  therefore 4/31 * 100 = 12.9%. Rounding it to the nearest percentage will give you 13.

Just repeat the same steps for the remaning questions.

Answer:

Judaism is the world's first monothestic religion

Step-by-step explanation:

Answer:

first angle is 95

second angle is 95

third angle is 95

the sum of angle in a quadrilateral is 360

therefore 95+95+95°=285

to get the fourth angle=360-285=75

therefore the fourth angle is 75°

The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.

E(X) = 1.88.  E(X^2) = 11.12. E((3X + 2)^2) = 126.64. To find E(X) and E(X^2), we will use the provided probability distribution for the random variable X.

E(X) is the expected value of X and can be calculated by multiplying each value of X by its corresponding probability and summing them up. Let's perform this calculation:

E(X) = (-2 * 0.18) + (4 * 0.38) + (6 * 0.12)

= -0.36 + 1.52 + 0.72

= 1.88

Therefore, E(X) = 1.88.

E(X^2) is the expected value of X^2 and can be calculated by multiplying each value of X squared by its corresponding probability and summing them up. Let's perform this calculation:

E(X^2) = ((-2)^2 * 0.18) + (4^2 * 0.38) + (6^2 * 0.12)

= (4 * 0.18) + (16 * 0.38) + (36 * 0.12)

= 0.72 + 6.08 + 4.32

= 11.12

Therefore, E(X^2) = 11.12.

Now, let's evaluate E((3X + 2)^2) using the values of E(X) and E(X^2) obtained in the previous step.

E((3X + 2)^2) = E(9X^2 + 12X + 4)

= 9E(X^2) + 12E(X) + 4

Substituting the values of E(X^2) = 11.12 and E(X) = 1.88:

E((3X + 2)^2) = 9 * 11.12 + 12 * 1.88 + 4

= 100.08 + 22.56 + 4

= 126.64

Therefore, E((3X + 2)^2) = 126.64.

Please note that the final answer is subject to the accuracy of the provided probability distribution and the calculations performed.

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Incomplete Question:

Let X be a random variable with the probability distribution below. Find

E(X)

and

EX2

and​ then, using these​ values, evaluate

E(3X+2)2.

x

−2

4

6

f(x)

18

38

12

Find E(X).

E(X)=

​(Simplify your​ answer.)

Find EX2.

EX2=

​(Simplify your​ answer.)

Evaluate

E(3X+2)2.

E(3X+2)2=

​(Simplify your​ answer.)

please make sure answer is correct and answer quickly.

Answer:

The answer could be x * 33 + 30.

Step-by-step explanation:

In this expression, the parentheses indicate that 14 and 19 are to be added together first, which equals 33. The expression x * 33 means that 33 is being multiplied by x. Finally, 30 is being added to this product. So both expressions represent the same mathematical operation.

Here's how to check our answer:

First, we simplify the expression inside the parentheses:

x(33) + 30

Next, we multiply x and 33:

x * 33 + 30

Finally, we add 30 to the product of x and 33:

x * 33 + 30

So, the expression x * 33 + 30 is equivalent to the expression x(14 + 19) + 30.

I would greatly appreciate Brainliest.
Have a nice day.

x(14+19)+ 30 =

     33   +  30

33x+30

Answer:

x = \(\frac{3}{2}\)

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

18x = 9 × 3 = 27 ( divide both sides by 18 )

x = \(\frac{27}{18}\) = \(\frac{3}{2}\)

0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

The percentage of the variation in the dependent variable that can be predicted from the independent variable is known as the coefficient of determination, abbreviated R2 or r2, in statistics.

given that

A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80.

now we have to find the variance for the y scores.

here, r=0.80 then \( {r}^{2} = 0.64\)

which means 0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

\(r = \sqrt{ {r}^{2}} \: or \: \sqrt{ {r}^{2}} \\ 0.80 = \sqrt{ {0.80}^{2} } \\ 0.80 = 0.80\)

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A scatter diagram is a preliminary or initial step in exploring a relationship between two variables.

A scatter diagram is a graphical tool used to investigate the relationship between two variables. The first step in exploring a relationship between two variables is to create a scatter diagram.

This diagram shows the relationship between two variables as a set of ordered pairs of data points, where one variable is plotted on the horizontal axis and the other variable is plotted on the vertical axis.

The pattern or trend in the plotted points on the scatter diagram can provide useful information about the relationship between the variables. For example, if the points form a roughly linear pattern, it suggests a positive or negative correlation between the variables, while a scatterplot with no clear pattern suggests no correlation.

Therefore, creating a scatter diagram is an essential first step in exploring a relationship between two variables.

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Answer:

9.1

Step-by-step explanation:

L " (x - 1) dx integrals gives the volume of the solid generated by revolving R about the y-axis

The integration or antiderivative processes can be used to determine the curve's area under it. For this, we require the curve's equation (y = f(x)), the curve's axis boundary, and the curve's border limitations.

Let R be the area in the first quadrant enclosed by the hyperbolas xy = 1 and xy = 3, the lines y = x and y = 3x, and the lines xy = 1. The third quadrant is also constrained by those four curves, which we are ignoring. xy dA. = 1 v .

Let R be the region in the first quadrant bounded by the graph of y = Vx - 1. the x-axis, and the vertical line * = 10.

= L " (x - 1) dx integrals gives the volume of the solid generated by revolving R about the y-axis

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The predicted job rating for employees with 17 years of education is 7.3, based on the regression constant of 0.5 and a regression coefficient of 0.40.

To predict the job rating for employees with 17 years of education, we can use the linear prediction rule provided.

The linear prediction rule is given by the formula:

Predicted job rating = Regression constant + (Regression coefficient * Amount of education)

Given:

Regression constant = 0.5

Regression coefficient = 0.40

Amount of education (in years) = 17

Substituting the values into the formula, we have:

Predicted job rating = 0.5 + (0.40 * 17)

                   = 0.5 + 6.8

                   = 7.3

Therefore, the predicted job rating for employees with 17 years of education is 7.3.

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Answer:

Step-by-step explanation:

Erase the line the goes through the intersection of the other 2 lines. This line does NOT make up either of the angles.

Now look at what you have left. b is  opposite 32. They are vertically opposite each other. That means that they are equal to one another.

b = 32

Answer:

5 adult and 3 student tickets were purchased

Step-by-step explanation:

Let x be the number of adult tickets

Then 8−x is the number of student tickets

7.25x+5.5(8−x)=52.75

7.25x+44−5.5x=52.75

1.75x=8.75

x=5

Therefore, 5 adult and 3 student tickets were purchased

The rate constant of inactivation is -0.6538 \(s^{-1}\).

To determine the rate constant of inactivation using the Chick-Watson model, we need to plot the natural logarithm of the surviving fraction of the virus (N/N₀) against time (t) and fit a linear regression to the data. The Chick-Watson model is given by the equation:

ln(N/N₀) = -kt

Where:

N₀ is the initial number of viruses (\(10^{6}\))

N is the number of viruses at time t

k is the rate constant of inactivation

Let's calculate the surviving fraction (N/N₀) and perform the linear regression:

Time (s) | N/N₀ | ln(N/N₀)

0 | 1.0 | 0.0

2 | 0.2 | -1.61

4 | 0.01 | -4.60

6 | 0.0015 | -6.50

8 | 0.0001 | -9.21

Using the given data, we can perform linear regression on the ln(N/N₀) values against time (t) values to determine the rate constant (k).

Let's calculate the rate constant (k) using linear regression:

Sum of ln(N/N₀) = -21.92

Sum of t = 20

Sum of (\(t^{2}\)) = 120

Mean of ln(N/N₀) = (-21.92) / 5 = -4.384

Mean of t = 20 / 5 = 4

Mean of (\(t^{2}\)) = 120 / 5 = 24

Sum of [(t - mean(t)) * (ln(N/N₀) - mean(ln(N/N₀)))] = -52.304

Sum of \((t-mean(t))^{2}\) = 80

Using the linear regression formula:

k = [Sum of [(t - mean(t)) * (ln(N/N₀) - mean(ln(N/N₀)))]] / [Sum of  \((t-mean(t))^{2}\) ]

k = -52.304 / 80 = -0.6538

Therefore, the rate constant of inactivation for NH2Cl disinfection of MS2 bacteriophage at a concentration of 2 mg/L is approximately -0.6538 \(s^{-1}\).

Correct Question :

The data for NH2Cl disinfection of MS2 bacteriophage at a concentration of 2 mg/L is shown below. The temperature was 20 °C, the pH was 6.0. Determine the rate constant of inactivation assuming the Chick-Watson model applies with an n value of 1.0.

Time (s) 0 2 4 6 8

Number of virus \(10^{6}\) 0.2*\(10^{6}\) 0.1*\(10^{5}\) 0.15*\(10^{4}\) 0.1*\(10^{3}\)

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James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer: 2(−5x^2 +9)(5x^2 +9)

Step-by-step explanation:

Given: 162-50x^4

Factor out 2:  2(81-25x^4)

Rewrite:  2(9^2-(5x^2)^2)

Use difference of squares:  2(9-5x^2)(9+5x^2)

Reorder (if you need to) 2(-5x^2+9)(5x^2+9)

Answer:

6(27 - 8x^4)

Step-by-step explanation:

162 - 50x^4 /2

2(81 - 24x^4) /3

6(27 - 8x^4)

Answer:

[x - 5]² + [y + 7]² = 6²

Step-by-step explanation:

It should be noted:

"h" represents the x coordinate of the center point, "k" represents the y coordinate of the center point, and "r" represents the radius of the circle.

When the values are substituted:

[x - 5]² + [y - (-7)]² = 6²

⇒ [x - 5]² + [y + 7]² = 6² = 36