S, In triangle MAH below, MT is the perpendicular bisector of AH.
A
Which statement is not always true?
A. AMAH is isosceles.
B. AMAT is isosceles.
C. MT bisects ZAMH.
D. LA and ZTMH are complementary.

The correct statement regarding the flow rate is given as follows:

The flow rate of the large tank is –10 gal/min, and the flow rate of the small tank is 10 gal/min.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

The functions are given as follows:

After 5 minutes, the two tanks have the same rate, hence the value of m is obtained as follows:

300 - 5m = 200 + 5m

10m = 100

m = 10 gal/min.

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The garden is approximately 5.5 meters long.

1 yard is approximately 0.91 meters (since 1 meter is approximately 1.094 yards). Therefore, 6 yards is approximately 5.5 meters (6 x 0.91).

Proportionality refers to the relationship between two quantities that change together in a consistent manner. In a proportional relationship, when one quantity changes, the other quantity changes in direct proportion to it.

Since 11 meters is approximately 12 yards, we can set up a proportion:

6 yards = x meters

12 yards = 11 meters

Solving for x, we get:

x = (6 yards)(11 meters/12 yards) = 5.5 meters

Rounding to the nearest tenth, we get that the garden is approximately 5.5 meters long.

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When Juan fell asleep, his family had traveled approximately 59% of the total trip to the Grand Canyon.It's important to note that this calculation assumes that the distance traveled is proportional to the progress made in the trip and that no significant detours or changes in speed occurred.

To calculate the percentage of the total trip that Juan's family had traveled when he fell asleep, we need to divide the distance traveled by the total length of the trip and then multiply by 100.

The distance traveled before Juan fell asleep is given as 177 miles, and the total length of the trip is 300 miles.

Percentage = (Distance traveled / Total length of trip) * 100

Substituting the given values, we have:

Percentage = (177 miles / 300 miles) * 100Performing the calculation:

Percentage = (0.59) * 100 = 59%.

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Answer:

B. 20 feet

Step-by-step explanation:

(30 - 6) = 30 = 16 = x

24 = 30 = 16 = x

4 = 5 = 16 = x

4x = 80

x = 20

The closest point will be 0.6 which is point Q.

To determine the product of the numbers graphed at points R and T, we need to find the coordinates of these points on the number line.

So, point R x point T

= 7/10 x 9/10

However, once you have the coordinates of points R and T, you can multiply the corresponding numbers to find their product.

Then, 0.7 x 0.9

= 0.63

From the points given we can write as

P = 0.4

Q = 0.6

R= 0.7

S = 0.8

T = 0.9

Among all the points the most closest is 0.6 which is point Q.

Thus, the closest point will be 0.6 which is point Q.

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The picture showing the ratios 4:11 and 7:11 is attached accordingly.

Ratios are common in everyday life and assist to simplify many of our interactions by putting numbers into context. Ratios facilitate the measurement and expression of numbers by making them more understandable. Ratios in everyday life: The automobile was moving at 60 mph, or 60 miles per hour.

A ratio is a comparison expressed as a quotient of two numbers, a and b, and is commonly represented as ab or a/b.

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The exponential regression equation to best fit the given data is y = 1.87 * 5.39^x, and this is found by using the logarithmic transformation of the exponential function and linear regression.

To find the exponential regression equation that best fits the given data, we need to use the following formula:

y = ab^x

where a is the y-intercept and b is the base of the exponential function. We can use the logarithmic transformation of this equation to linearize the data:

ln y = ln a + x ln b

We can then use linear regression to find the values of ln a and ln b. Once we have these values, we can use the exponential function to find the best-fit equation.

Using this method, we get the following values:

ln a = 0.6248
ln b = 1.6835

Therefore, the exponential regression equation that best fits the given data is:

y = e^(0.6248) * e^(1.6835x)

This equation can be simplified as:

y = 1.87 * 5.39^x

Note that since the y-values are rounded to the nearest integer, the calculated equation may not perfectly fit the data points, but it will provide a close approximation.

In summary, the exponential regression equation to best fit the given data is y = 1.87 * 5.39^x, and this is found by using the logarithmic transformation of the exponential function and linear regression.

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The probability that a three-digit number formed from the digits one through five, using any digit only once, will be divisible by 3 is $\frac{2}{5}$.

To find out how many three-digit numbers can be formed using the digits one through five, we first need to determine how many options we have for the first digit. Since the number cannot start with zero, there are four options: 1, 2, 3, or 4. For the second digit, there are only three options left since we cannot repeat the digit we used for the first digit. Finally, for the last digit, there are only two options left. So, in total, there are 4 x 3 x 2 = 24 three-digit numbers that can be formed using the digits one through five.

Now we need to figure out how many of these numbers are divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. The only way to get a sum that is divisible by 3 using the digits one through five is to use three of them (1, 2, 3, 4, or 5). So we need to count the number of three-digit numbers that can be formed using three of the digits 1, 2, 3, 4, and 5. There are 5 ways to choose the digit that is left out, and then 3 x 2 = 6 ways to arrange the other three digits. So there are 5 x 6 = 30 three-digit numbers that can be formed using three of the digits 1, 2, 3, 4, and 5.

Therefore, the probability of selecting a three-digit number that is divisible by 3 is $\frac{30}{24} = \frac{5}{4}$. However, we need to simplify this fraction, so we divide the numerator and denominator by 5 to get $\frac{6}{5}$. Finally, we subtract this fraction from 1 to find the probability that a three-digit number formed from the digits one through five, using any digit only once, will not be divisible by 3: $1 - \frac{6}{5} = \boxed{\frac{2}{5}}$.

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Based on the policy limit of $50,000, the total amount that the insurance company must pay out for these three people involved in Craig's personal injury protection policy is $73,500.

The total amount that the insurance company will indemnify the three persons involved in the accident is determined by the policy or liability limit of $50,000 for each person.

Policy limit in Craig's personal injury protection policy for each = $50,000

The medical expense for the first person = $23,000 (below limit)

The medical expense for the second person = $500 (below limit)

The medical expense for the third person (Craig) = $70,000 (above limit)

Total indemnity = $73,500 ($23,000 + $500 + $50,000)

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Number of 50 g weigh balls = 12

And, Number of 120g weigh balls = 8

We have to given that;

There is a total of 20 balls. Some balls weigh 50g each and others weigh 120g each.

Let number of 50 g weigh balls = x

And, Number of 120g weigh balls = y

Hence, We can formulate;

x + y = 20  .. (i)

And, 50x + 120y = 1560

⇒ 5x + 12y = 156  .. (ii)

From (i);

x = 20 - y

Plug in (ii);

5 (20 - y) + 12y = 156

100 - 5y + 12y = 156

7y = 56

y = 8

From (i);

x = 20 - y

x = 20 - 8

x = 12

Thus, number of 50 g weigh balls = 12

And, Number of 120g weigh balls = 8

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Answer: ABC is not a right angled triangle

Step-by-step explanation:

total = 22cm

22-8-5= 9cm

Hypotuneus = 9 cm since its the longest angle

pythagoras theorum = a2+b2=c2

so we need to see if 8² +5² =9²

64+25 need to be 81 (9² )

but its 64+25=89

therefore it is not a right angles triangle.

It's also worth noting that there may be other factors that impact sales that are not included in the regression equation. For example, changes in consumer preferences, economic conditions, or competition from other businesses could all have an impact on sales that is not captured by the variables included in the equation.

So while a regression equation can be a useful tool for predicting sales, it's important to keep in mind that it's not a perfect predictor and should be used in conjunction with other information and analysis. To estimate a regression equation for sales as a function of population, advertising in the current year, and advertising in the previous year, you would need to gather data on sales, population, and advertising expenditures for both the current and previous years. Once you have this data, you can use regression analysis to determine how much of the variation in sales can be explained by population and advertising. As for whether or not predictions of sales in future years would be very accurate based on this regression equation, it really depends on how well the equation fits the data.

If the equation has a high R-squared value (meaning that a large percentage of the variation in sales can be explained by the independent variables), then predictions based on the equation are likely to be more accurate. However, if the equation has a low R-squared value, then predictions based on the equation may not be very accurate.

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The domain of the function is the set of all points in the xy-plane that satisfy the inequality 4 - x^2 - 4y^2 > 0.

The domain of a function consists of all the possible input values that can be plugged into the function to produce a valid output. In the case of the function f(x,y) = ln(4 - x^2 - 4y^2), the argument of the natural logarithm must be positive for the function to be defined. Therefore, we need to find the set of (x,y) pairs that satisfy the inequality:

4 - x^2 - 4y^2 > 0

Rearranging this inequality, we get:

x^2 + 4y^2 < 4

This is the equation of an ellipse centered at the origin with semi-major axis of length 2 and semi-minor axis of length 1/2. Thus, the domain of the function f(x,y) consists of all the points inside this ellipse.

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The margin of error for the survey is approximately 3.4% .

To calculate the margin of error for this survey at the 95% confidence level, we'll need to use the following formula:
Margin of Error = Z-score * √(p * (1-p) / n)
Where:
- Z-score represents the confidence level (1.96 for 95% confidence)
- p is the proportion of people who preferred Candidate A (0.41 or 41%)
- n is the sample size (800 voters)
Margin of Error = 1.96 * √(0.41 * (1-0.41) / 800)
After calculating, we get:
Margin of Error ≈ 0.0341 or 3.41%
So, the margin of error for this survey at the 95% confidence level is approximately 3.4% to the nearest tenth.

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The solution for each system of equations in this problem is given as follows:

Considering the graph containing the equations for the system, the solution of the system of equations is presented by the point of intersection of all the equations of the system.

When the two curves do not intersect, as is the case for the parallel lines in the first graph in this problem, it is said that the system has no solution.

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The outlier in the data set of blog post comments affects the range and interquartile range in different ways. It increases the range and may also increase the interquartile range.

The range is the difference between the largest and smallest values in the data set. In this case, the range without the outlier is 16-2=14. However, if the outlier has a value greater than 16, then it increases the range. On the other hand, the interquartile range is the difference between the third quartile and the first quartile. The quartiles divide the data set into four equal parts, and the interquartile range is used to measure the spread of the middle 50% of the data. An outlier can increase the interquartile range if it falls outside the middle 50% of the data or decrease it if it falls within the middle 50%.

For example, if the outlier has a value of 20, then the range increases to 18, and the interquartile range also increases because the outlier is larger than the third quartile. If the outlier has a value of 1, then the range increases to 15, but the interquartile range decreases because the outlier is smaller than the first quartile. Therefore, outliers can have a significant impact on the range and interquartile range of a data set, and it is important to identify and handle them appropriately.

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Answer:

Step-by-step explanation:

To calculate the absolute guessing error, we need to find the absolute difference between each guess and the actual number of marbles (145).

Guess Absolute Guessing Error

190 45

150 5

125 20

133 12

167 22

160 15

148 3

200 55

170 25

115 30

To check, we can verify that each absolute guessing error is the positive difference between the guess and 145.

To answer your question, we need to use a combination formula, which is nCr = n! / (r! * (n-r)!).

In this case, we want to select 5 men out of 16 men, which can be done in 16C5 = 4368 ways. Then, we need to select 1 woman out of 11 women, which can be done in 11C1 = 11 ways. Therefore, the total number of committees possible if it must consist of 5 men is 4368 * 11 = 48,048.

In summary, there are 48,048 committees possible consisting of 5 men and 1 woman, out of a total of 11 women and 16 men. Finally, to find the total number of possible committees, multiply the number of ways to select the men by the number of ways to select the women: C(16, 5) * C(11, 1). This results in 4368 possible committees that consist of 5 men and 1 woman.

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Matric A = [[5, 8, 11],

[11, 14, 17],

[21, 24, 27]]

Matric B = [[3, 9, 19],

[6, 12, 22],

[11, 17, 27]]

(b) The sum of their determinant is 102.

(c) The inverse of matrix A, you can use matrix inversion techniques such as the adjugate matrix or row reduction.

To compute the matrices A and B, we substitute the given expressions for each element into their respective matrices.

Matrix A:

A = [aij] where aij = 2i² + 3j

Substituting the values of i and j from 1 to 3, we get:

A = [[2(1)² + 3(1), 2(1)² + 3(2), 2(1)² + 3(3)],

[2(2)² + 3(1), 2(2)² + 3(2), 2(2)² + 3(3)],

[2(3)² + 3(1), 2(3)² + 3(2), 2(3)² + 3(3)]]

Simplifying each element:

A = [[2 + 3, 2 + 6, 2 + 9],

[8 + 3, 8 + 6, 8 + 9],

[18 + 3, 18 + 6, 18 + 9]]

A = [[5, 8, 11],

[11, 14, 17],

[21, 24, 27]]

Matrix B:

B = [bij] where bij = i² + 2j²

Substituting the values of i and j from 1 to 3, we get:

B = [[1² + 2(1)², 1² + 2(2)², 1² + 2(3)²],

[2² + 2(1)², 2² + 2(2)², 2² + 2(3)²],

[3² + 2(1)², 3² + 2(2)², 3² + 2(3)²]]

Simplifying each element:

B = [[1 + 2, 1 + 8, 1 + 18],

[4 + 2, 4 + 8, 4 + 18],

[9 + 2, 9 + 8, 9 + 18]]

Next, we move on to the remaining parts of the question.

To find the sum of the determinants of matrices A and B, we compute the determinants separately and add them together:

det(A) = |A|

= 5(14 - 17) - 8(11 - 17) + 11(11 - 14)

= -6

det(B) = |B| = 3(12 - 17) - 9(6 - 17) + 19(6 - 12)

= 108

Sum of determinants = det(A) + det(B)

= -6 + 108

= 102

To compute 2A⁻¹, we need to find the inverse of matrix A and multiply it by 2:

A⁻¹ = inverse of matrix A

Once you have the inverse, you can multiply it by 2:

2A^-1 = 2 × A⁻¹

Since matrix A is not given in the question and we've only computed its elements based on the given formula

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Answer:

x=6

Step-by-step explanation:

25^3=15,625

5^6=15,625

Therefore, x=6

Answer:

x=6.........................................................

[tex]y = (1/5) x^5 + Ce^ {(-x^5)}[/tex] is the general solution of the given differential equation.

The given differential equation is:

y' + 5x⁴ y = x⁴

To solve this equation, we can use an integrating factor. First, we need to multiply both sides of the equation by the integrating factor, which is [tex]e^{(int 5x^4 dx)}[/tex]:

[tex]e^{(int 5x^4 dx) }y' + 5x^{4} e^{(int 5x^4 dx)} y = x^4 e^{(int 5x^4 dx)}[/tex]

The integral of 5x⁴ is (5/5)x⁵ = x, so the integrating factor is [tex]e^{(x^5)}[/tex]:

[tex]e^{(x^5)} y' + 5x^{4} e^{(x^5)} y = x e^(x^5)[/tex]

Now we can recognize the left-hand side as the product of the derivative of the product of [tex]e^{(x^5)[/tex]and y:

[tex](d/dx)[e^{(x^5)} y] = x^4 e^{(x^5)}[/tex]

Integrating both sides with respect to x, we get:

[tex]e^{(x^5)} y = (1/5) x^5 e^{(x^5)} + C[/tex]

where C is the constant of integration. Dividing both sides by [tex]e^{(x^5)}[/tex], we get the general solution:

[tex]y = (1/5) x^5 + Ce^(-x^5)[/tex]

where C is an arbitrary constant.

[tex]y = (1/5) x^5 + Ce^{(-x^5)}[/tex] is the general solution of the given differential equation.

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The required equation is VW/UW = YW/XW for the given similar triangles.

The figure is given as shown.

As per the question, given that triangles ΔUVW and ΔXYW are similar.

As we know that similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Therefore, we can be written as follows:

VW/UW = YW/XW

This signifies that the corresponding angles and sides of the two triangles are equal and proportionate.

Therefore, the required equation is VW/UW = YW/XW.

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Answer:

d

Step-by-step explanation:

took test

Answer: Translate DEF 2 units to the right

Step-by-step explanation:

Each point in DEF is 2 units to the left of JKL. For example, D is at (-3, 4) and J is at (-1, 4). To map the figures on to one another, DEF must be moved 2 units to the right

Answer:  A (300 in^2)

Step-by-step explanation: You can either use volume or the area to find out how much wrapping paper Malia will need. so, I will use the area so I took 2in and mutipyied it by 10in which got me 20in then I took the 20in I got from 2in mutiplied by the 10in and mutipled it by 15 and got the answer of 300 in^2. so the answer is a .

Answer:

-33-7x=

[tex] - 33 - 7x = 2(3 - 8x) - 3 [/tex]

[tex] - 33 - 7x = 6 - 16x - 3[/tex]

[tex] - 33 - 6 + 3 = - 16x + 7x[/tex]

[tex] \frac{ - 36}{ - 9 ?} = \frac{ - 9x}{ - 9?} [/tex]

Step-by-step explanation:

x=4

Answer:

The difference between the original price of $16,999 and the discounted price of $13,999 is:

$16,999 - $13,999 = $3,000

So the discount is $3,000.

To calculate the rate of discount as a percentage, you need to divide the discount by the original price, and then multiply by 100.

($3,000 / $16,999) x 100% ≈ 17.65%

Therefore, the rate of discount is approximately 17.65%.

Step-by-step explanation:

Answer:

0.17648 (round to whatever you need) is the RATE of discount

17.648% is the PERCENTAGE of discount

Step-by-step explanation:

(16,999 - 13,999)/ 16,999 = 0.17648

Because of the formula (og price - discount price)/ og price