-6x+9-4x=14 The value for x

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

This question is about rotations of polygons.

To rotate a polygon onto itself, we need to know the exact rotation we have to do. This rotation depends on the type of polygons, specifically, the number of sides.

To know the exact angle rotation to map the polygon onto itself, we just have to divide 360° by the number of sides.

Answer:

This question is about rotations of polygons.

To rotate a polygon onto itself, we need to know the exact rotation we have to do. This rotation depends on the type of polygons, specifically, the number of sides.

To know the exact angle rotation to map the polygon onto itself, we have to divide 360° by the number of sides.

Therefore, the right answer is the third choice.

Step-by-step explanation:

Answer:

a7 = 1/243

Step-by-step explanation:

The formula for the nth term of a geometric series is

\(a_{n}=a_{1}r^n^-^1\), where a1 is the first term, r is the common ratio, and n is the position of the term (e.g., 6th or 3rd).

First, we need to find the common ratio.  

We can find it by dividing the second term (1) by the first term (3):

\(r=\frac{a_{2} }{a_{1} }=\frac{1}{3}\)

Since we already know a1 and r, we simply substitute 7 for n to find the 7th term:

\(a_{7}=3*\frac{1}{3} ^7^-^1\\a_{7}=3*\frac{1}{3}^6\\ a_{7}=3*\frac{1}{729}\\ a_{7}=\frac{1}{243}\)

a) The null hypothesis (H0) states that the population average amount dispensed is equal to 8 ounces. The alternative hypothesis (Ha) states that the population average amount dispensed is different from 8 ounces.

b) To test the hypothesis, we can perform a one-sample t-test. The sample mean is 7.983 ounces, which is slightly below the hypothesized value of 8 ounces. We want to determine if this difference is statistically significant.

c) By conducting the one-sample t-test, we can calculate the p-value associated with the observed sample mean of 7.983 ounces. The p-value represents the probability of obtaining a sample mean as extreme as the observed value, assuming that the null hypothesis is true.

If the calculated p-value is less than the significance level (0.05 in this case), we reject the null hypothesis in favor of the alternative hypothesis, indicating evidence that the population average amount dispensed is different from 8 ounces. If the p-value is greater than the significance level, we fail to reject the null hypothesis, suggesting that there is not enough evidence to conclude that the population average is different from 8 ounces.

The interpretation of the p-value in this case is that it represents the probability of observing a sample mean of 7.983 ounces or a more extreme value, assuming that the true population mean is 8 ounces. A small p-value indicates that the observed sample mean is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, a small p-value provides evidence against the null hypothesis and suggests that the population average amount dispensed is likely different from 8 ounces.

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The mean of the number of houses burglarized in this sample is 4.5 based on probability.

The probability of a house in an urban area being burglarized is 15%. This means that out of every 100 houses, 15 will be burglarized.

If 30 houses are randomly selected, we can use the binomial distribution to find the mean number of houses burglarized. The formula for the mean of a binomial distribution is:

Mean = n * p

where n is the number of trials (in this case, 30) and p is the probability of success (in this case, 0.15).

Substituting these values, we get:

Mean = 30 * 0.15
Mean = 4.5

Therefore, the mean number of houses burglarized out of 30 randomly selected houses is 4.5. Note that this is an expected value and may not represent the actual number of houses burglarized in any particular sample of 30 houses.
To find the mean of the number of houses burglarized, we can use the formula:

Mean = (Probability of success) x (Number of trials)

In this case:
- Probability of success (a house being burglarized) is 15%, or 0.15 as a decimal.
- Number of trials (randomly selected houses) is 30.

Using the formula, we get:

Mean = (0.15) x (30) = 4.5

So, the mean of the number of houses burglarized in this sample is 4.5.

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Answer:

Area of triangles:

6 x 5.2 = 31.2 divided by 2 = 15.6, 15.6 x 2(two triangles) = 31.2

Area of bottom:

6 x 10 = 60

Area of left and right side:

10 x 6 = 60, 60 x 2 = 120

Sum of all areas:

31.2 + 60 + 120 = 211.2 cm^2 is your answer.

Answer:

B

Step-by-step explanation:

HEIGHT=10CM

SIDE A =6CM

SIDE B=6CM

SIDE C =6CM

TOTAL SURFACE AREA=211.18 CM SQUARED

The number A(t) of pounds of salt in the tank at time t is given by A(t) = 2000 (1 - [-5t]) pounds.

Initially, the tank contains 500 gallons of pure water, so V(0) = 500 gallons and C(0) = 0 pounds per gallon. As the brine is pumped into the tank at a rate of 5 gallons per minute, the volume of the solution in the tank increases by 5 gallons every minute. Therefore, we have the function:

V(t) = 500 + 5t

At the same time, the well-mixed solution is pumped out of the tank at a rate of 5 gallons per minute. This means that the volume of the solution in the tank decreases by 5 gallons every minute. Therefore, we have:

V'(t) = -5

Substituting the expressions we have derived for V(t), V'(t), and C(t), we obtain:

A(t) = 0 +  [(2 pounds/gallon) - (-5/V(u)) A(u)] du

Simplifying this expression, we get:

A'(t) = 2 - (5/V(t)) A(t)

This is a first-order differential equation, which we can solve using separation of variables:

A'(t)/(2 - (5/V(t)) A(t)) = 1

Integrating both sides with respect to t, we get:

ln|2 - (5/V(t)) A(t)| = t + C

where C is a constant of integration.

Solving for A(t), we obtain:

A(t) = (2/5) V(t) - (2/5) V(t) [-5(t-t⁰)]

where t₀ is the initial time, which we can set to 0 without loss of generality since we are interested in the amount of salt in the tank at any given time t.

Now we can substitute the expression we derived for V(t) into the equation for A(t) to obtain:

A(t) = (2/5) (500 + 5t) - (2/5) (500 + 5t) exp[-5t]

Simplifying this expression, we get:

A(t) = 2000 (1 - [-5t]) pounds

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Complete Question:

A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. The well-mixed solution is pumped out at the same rate. Find the number A(t) of pounds of salt in the tank at time t.

A(t) = ____ lb

Answer:

x=1/6

Step-by-step explanation:

Answer:

y>4x-2

Step-by-step explanation:

First let us find the equation of the line.

Given points (1,2) and (0, -2), the slope would be

(2-(-2))/(1-0) = 4/1= 4

The intercept is at -2, so the full equation would be

y=4x-2

However, we need to find the inequality of the graph. Everything greater than our line/above our line is included. Also notice that the line is dotted, which means that the line itself is not included.

Our equations should be,

y>4x-2

I hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

Perform the indicated multiplication:  6y + 12 = 8y

Consolidate y terms on the right:                12 = 8y - 6y = 2y, or y = 6

Answer:

69

Step-by-step explanation:

simply 69

Answer:

13

Step-by-step explanation:

use distance equation

The distance between the points  R(-2,3) and S(3,15) is 13 units.

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We have to find the distance between R and S

The coordinates of R is (-2,3)

The  coordinates of S is (3,15)

Now x₁ = -2, x₂ = 3,  y₁ = 3, y₂ = 15

Plug in these values in Distance formula

Distance = √(3+2)²+(15-3)²

=√(5)²+(12)²

=√25+144

=√169

=13 units

Hence, the distance between the points  R(-2,3) and S(3,15) is 13 units.

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Answer:

614

Step-by-step explanation:

15 x 13 = 195    two times   195 x 2 = 390

4 x 15 = 60    two times   60 x 2 = 120

4 x 13 = 52      two times   52 x 2 = 104

104 + 120 + 390 = 614

Answer:

SA = 2(l·w)+2(w·h)+2(l·h)

SA = 614 sq in

Step-by-step explanation:

SA = 2(4x13)+2(13x15)+2(4x15)

= 2(52)+2(195)+2(60)

= 104 + 390 + 120

= 614

Answer:

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

4X2 is 8 8x2 is 16 16x2 is 32

Answer:

10 cm by 16 cm

Step-by-step explanation:

60 ÷ 6 = 10

96 ÷ 6 = 16

The answer is 10 cm by 16 cm or option (c)

I took the test!

Answer:

11=y

66=x

6=y

55=x

Step-by-step explanation:

Hope this helps

Have a great day!

Answer:

Yes, he can fit 18 books on the shelf.

Step-by-step explanation:

They will fit if maximum width of 18 books is less than minimum length of the shelf.

The minimum length of the shelf is 46.5 cm ( as its measured to nearest cm).

The maximum width of a book < 2.55   ( its measured to nearest 0.1 cm).

So multiplying width of books by 18 we get:

2.55*18 = 45.9 which is less than 46 so the answer is YES.

A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

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Based on the IQR values, we can see that Player B is more consistent than Player A. Thus option B is correct.

To find the best measure of variability for the data, we need to compare the range and interquartile range (IQR) for both players.

For Player A:

Range = maximum value - minimum value \(= 7 - 1 = 6\)

\(IQR = Q3 - Q1 = 3 - 1.5 = 1.5\)

For Player B:

Range = maximum value - minimum value \(= 10 - 1 = 9\)

\(IQR = Q3 - Q1 = 5 - 1.5 = 3.5\)

The IQR is generally considered a better measure of variability than the range because it is not influenced by extreme values. Therefore, the best measure of variability for this data is the interquartile range (IQR).

Based on the IQR values, we can see that Player B is more consistent than Player A.

Therefore, the correct answer is: Player B is the most consistent, with an IQR of  \(3.5\)  .

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Answer:

Step-by-step explanation:

-2x + 9 < x - 9                     Add 9 to both sides

-2x + 9 + 9 < x - 9 + 9        Combine

-2x + 18 < x                         Add 2x to both sides

-2x+2x + 18 < x + 2x           Combine

18 < 3x                                 Divide by 3

18/3 < 3x/3

6 < x

Answer:

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Answer:

I don't even have words to explain my frustration right now.

\(11m = 3n \\ \frac{11m}{11 \times n} = \frac{3n}{11 \times n} \\ \frac{m}{n} = \frac{3}{11} \)

ATTACHED IS THE SOLUTION

Answer: The store must sell 40 bikes.

Step-by-step explanation:

y=60x+2400

y=120x

120x=60x+2400

-60x on both sides

60x=2400

divide 60 on both sides

2400/60=40

x=40  

Answer:

C(t)=−0.8t−3

Step-by-step explanation:

Trust

Based on the given information, it seems that you want to determine if the average salary of all entry-level computer engineers is significantly different from $80,000 at a 10% level of significance.

To do this, you can perform a hypothesis test using these steps:

1. State the null hypothesis (H0): The average salary is equal to $80,000.
2. State the alternative hypothesis (H1): The average salary is different from $80,000.
3. Choose a 10% level of significance (α = 0.10).
4. Calculate the test statistic and corresponding p-value using the sample data.
5. Compare the p-value to the level of significance (α).
6. Draw a conclusion:

- If the p-value is less than or equal to α (0.10), you reject the null hypothesis (H0) and conclude that there is significant evidence that the average salary of all entry-level computer engineers is different from $80,000.
- If the p-value is greater than α (0.10), you fail to reject the null hypothesis (H0) and cannot conclude that the average salary is significantly different from $80,000.

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