What is the value of x in the equation 2(x+3.5)=−10?
A-15.5
B-8.5
C 8.5
D 15.5

Answer:

s

Step-by-step explanation:

Answer:

3239609472 Km

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We can go through the answers and use the process of elimination.

For A, it says that lizards in A are longer. We can look at the numbers for A compared to B and see that B has longer lizards so we know that A is wrong.

For B, it says that aquarium A has the longest lizard. As we just found out, B has longer lizards so this option would be wrong as well.

Next, we can look at C, which says that lizards in A vary in length more than in aquarium B. We can check this by looking at the range for each aquarium. In A, we see that they have lengths from 9 to 15. 6 cm would be the difference. In aquarium B, we see 14 to 17. 3 would be the difference. 6 is higher than 3 so we know that aquarium A's lizards vary more than aquarium B.

In option D, we can see that this just tells us the opposite of what we just learned in C, so we know it is wrong.

Hope this helps!!

The lizards in aquarium A vary in length more than in aquarium B.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, At a pet store, the lizards in aquarium A have a mean length of 13 cm and a range from 9 cm to 15 cm. In aquarium B. the lizards have a mean length of 15 cm and a range from 14 cm to 17 cm.

On average, the Length of Lizards in Aquarium B is greater than the Length of Lizards in Aquarium A.

Since the range Of length of lizards in Aquarium B is 14 to 17 cm which is bigger than the range of A, aquarium B has the longest lizard at this pet store.

Since,

the range is the area of variation between upper and lower limits on a particular scale.

Thus, In aquarium A, the lizards' lengths range more widely than in aquarium B.

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∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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The probability density function of the time you arrive at a terminal (in minutes after 8:00 a. M. ) is given by f (x) = 0. 1 exp(− 0. 1x) for 0 < x.
a) 0.999
b) 14.4%
c) .3297

(a) The probability that you arrive by 9:00 a. M. is given by the cumulative distribution function (CDF) evaluated at x = 60 (since 9:00 a. M. is 60 minutes after 8:00 a. M.). The CDF is given by the integral of the PDF from 0 to x, which in this case is:

\(F(x)=\int\limits^x_0 {f(t)} \, dt=\int\limits^x_0 { 0.1e^{-0.1t}\, dt= -e^{-0.1x} + e^0= 1-e^{-0.1x}\)

Evaluating the CDF at x = 60, we get:

F(60)=1−e−0.1×60≈0.999

So, the probability that you arrive by 9:00 a. M. is approximately 99.9%.

(b) The probability that you arrive between 8:15 a. M. and 8:30 a. M. is given by the CDF evaluated at x = 30 minus the CDF evaluated at x = 15 (since 8:15 a. M. is 15 minutes after 8:00 a. M., and 8:30 a. M. is 30 minutes after):

F(30)−F(15)=(1−e−0.1×30)−(1−e−0.1×15)≈0.283−0.139≈0.144

So, the probability that you arrive between 8:15 a.M and 8:30 a.M is approximately 14.4%.

c) The probability that you arrive before 8:40 a.M on two or more days of five days, assuming that your arrival times on different days are independent, can be calculated using the binomial distribution with n = 5 trials and success probability p = F(40), where F(40) is the CDF evaluated at x = 40 (since 8:40 a.M is 40 minutes after 8:00 a.M):

F(40)=1−e−0.1×40≈.3297

The probability of k successes in n independent trials with success probability p is given by the binomial formula:

P(k)=(kn​)pk(1−p)n−k

So, the probability of arriving before 8:40 a.M on two or more days out of five is given by:

P(2 or more successes)=P(2)+P(3)+P(4)+P(5)

=(25​)p2(1−p)3+(35​)p3(1−p)2+(45​)p4(1−p)1+(55​)p5(1−p)0

=(25​)(F(40))2(1−F(40))3+(35​)(F(40))3(1−F(40))2+(45​)(F(40))4(1−F(40))1+(55​)(F(40))5(1−F(40))0

≈.6826

So, the probability that you arrive before 8:40 a.M on two or more days out of five is approximately 68%.

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An inverse variation is the one in which the product of x and y is a constant:

We can find the value of this constant by replace x and y for the given values:

Now, replace k in the initial equation and then solve for y:

It means that the relationship is:

The graph of this relationship is:

Being 90% confident in a problem means that there is a 90% chance that the confidence interval calculated from a sample contains the true population mean.

In other words, if we take 100 different samples of the same size from the population and calculate a confidence interval for each sample, then we can expect that 90 of those intervals will contain the true population mean.

This is the definition of a confidence level. Therefore, we can say that there is a 90% chance that the confidence interval we have calculated includes the true population mean.

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Answer:

$3 (not exact, this is an estimate)

Step-by-step explanation:

Since it is estimate, it is not the exact amount. 20% is 1/5 and 15/5 = 3 so 1/5 or 20% is 3.  the best estimate for the amount of tip is $3.

Answer:

22

Step-by-step explanation:

We are given that t = 5 and s = 3, so use substitution to find the answer

2t + 4s

2 (5) + 4 (3)

10 + 12

22

Answer:

Smaller

Step-by-step explanation:

When you multiply something by 1/3, basically what you are doing is multiplying that thing by one and dividing it by 3.

To put it in a better perspective, let's say you have something that is 5 inches long and you multiply it by a scale factor of 1/3. The equation would be: (5*1)/3.

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The person is willing to supply fewer hours of labor at wage rate w1 than at w2 and more hours of labor at wage rate w3 than at w2.

What is fewer hours (w1)?

"Fewer hours (w1)" refers to a condition where an individual is willing to offer a reduced amount or a lesser number of hours of labor in response to a specific wage rate denoted as w1. It implies a decrease in the quantity of labor supplied relative to other wage rates, such as w2 or w3.

Typically, the labor supply curve has an upward slope, indicating that as the wage rate increases, individuals are more willing to supply labor or work more hours. This is because higher wages incentivize individuals to allocate more of their time to work in order to earn more income.

Therefore, if we assume a conventional labor supply curve, we can infer that at a higher wage rate (w3) compared to a lower wage rate (w2), the individual would be willing to supply more hours of labor. Conversely, at a lower wage rate (w1) compared to w2, the individual would be willing to supply fewer hours of labor.

It is important to note that the actual relationship between wage rates and labor supply can be influenced by various factors such as individual preferences, market conditions, and other economic factors. Therefore, a specific labor supply curve graph or more information would be needed to provide a more accurate and specific explanation.

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Answer:

-2/7

Step-by-step explanation:

2/5 x (-5/7)

multiply and reduce

-2 x 1/7

calculate

-2/7

Have a great day!!!

Answer: -2/7

Step-by-step explanation: For fraction multiplication, multiply the numerators and then multiply the denominators. This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 10 and 35 using GCF(10,35) = 5.  Apply the fractions formula for multiplication and solve. Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(10,35) = 5. Therefore: 2/5×−5/7=−2/7

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(a) To determine the sample standard deviation, we need the individual data points for each group.

The information provided in the question only mentions the mean and standard error of the mean. Without the actual data points, we cannot calculate the sample standard deviation.

(b) The 95 percent confidence interval for the mean maximal nitric oxide diffusion rate of the population can be calculated using the formula:

Confidence Interval = (Sample Mean) ± (Critical Value) * (Standard Error)

However, we don't have the critical value or the standard error in the given information. Therefore, we cannot calculate the confidence interval without this missing information.

(c) The assumptions necessary for the validity of the confidence interval include:

- The sample is a random sample from the population.

- The population follows a normal distribution or the sample size is large enough to satisfy the Central Limit Theorem.

- The observations are independent.

(d) The practical interpretation of the confidence interval is that we are 95 percent confident that the true population mean lies within the calculated interval.

The probabilistic interpretation of the confidence interval is that if we were to repeat the sampling process multiple times and construct 95 percent confidence intervals, approximately 95 percent of these intervals would contain the true population mean.

(e) When discussing confidence intervals with someone who has not had a course in statistics, the practical interpretation would be more appropriate. The probabilistic interpretation involves a more technical understanding of statistical concepts and may be harder to grasp for someone without statistical knowledge.

(f) Without actually constructing the interval, we can infer that a 90 percent confidence interval would be narrower than the 95 percent confidence interval. This is because as the confidence level decreases, the corresponding critical value decreases, resulting in a smaller margin of error and a narrower interval.

(g) Without actually constructing the interval, we can infer that a 99 percent confidence interval would be wider than the 95 percent confidence interval.

This is because as the confidence level increases, the corresponding critical value increases, resulting in a larger margin of error and a wider interval.

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A factorization of the quadratic function 81x² - 36x + 4 is (9x - 2)².

First of all, we would rearrange the given quadratic function as follows;

4 - 36x + 81x²

81x² - 36x + 4

By using the sum-product pattern, we have the following:

81x² - 18x - 18x + 4

By writing the common factor from the two pairs, we have the following:

(81x² - 18x) + (-18x + 4)

9x(9x - 2) - 2(9x - 2)

By rewriting in factored form, we have the following:

(9x - 2)(9x - 2)

Lastly, we would combine to a square as follows;

81x² - 36x + 4 = (9x - 2)².

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Complete Question:

Factorize each of the following expressions completely.

(a) 4 - 36x + 81x²

The length of the base, AB, can be found to be 12. 49 cm

The base length can be found using the Pythagoras Rule which is:

c ² = a ² + b ²

a = CD which is the height

c = AC

So we can find half od base length when we divide the shape into a right angled triangle :

8 ² = 5 ² + b²

b ² = 64 - 25

b = √ 39

b = 6. 24 cm

Double of this would be:

= 12. 49 cm

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Answer: 46 cm

Step-by-step explanation:

5 3/4 * 8             it's times 8 because the perimeter is 8 sides

23/4 *8               convert the mixed fraction to improper

23 *2                   reduce

46 cm

a) An equation for the total cars and trucks for the dealership is y = 2x + 0.5y = 229. b) Dealership B did not sell any cars and Dealership A sold 164 cars.

Let's say that the number of cars and trucks sold by dealership A is 'x', and the number of cars and trucks sold by dealership B is 'y'.

An equation for the total cars and trucks for dealership A is:x = 164

An equation for the total cars and trucks for dealership B is:

y = 2( cars sold by A) + 0.5 (trucks sold by A)

y = 2x + 0.5y = 229

Now, we need to solve the above two equations to find the value of 'x' and 'y'.

Substituting the value of 'x' from the equation for dealership A into the equation for dealership B: y = 2(164) + 0.5y = 328 + 0.5y

Now, subtract 0.5y from both sides:

0.5y = 229 - 3280.5y = -99y = -99/0.5 = -198

Therefore, dealership B did not sell any cars or trucks as the value of 'y' is negative.

However, we can find the number of cars dealership A sold by substituting the value of 'x' into the equation for dealership A: x = 164

Therefore, dealership A sold 164 cars.

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Answer: The volume of a triangular prism is given by the formula:

V = (1/2) * b * h * l

where b is the base of the triangular face, h is the height of the triangular face, and l is the length of the prism.

In this problem, the base of the triangular face is 18.8 centimeters, the height of the triangular face is 17.5 centimeters, and the length of the prism is 9 centimeters.

Plugging in these values into the formula, we get:

V = (1/2) * 18.8 cm * 17.5 cm * 9 cm

Simplifying, we get:

V = 1485 cm^3

Therefore, the volume of the triangular prism is 1485 cubic centimeters.

Step-by-step explanation:

Answer:

$140

Step-by-step explanation:

After they spent an equal amount, John has $200 - x and David has $180 - x left.

According to the given information, the ratio of John's money to David's money is 3:2, which can be expressed as:

(200 - x) / (180 - x) = 3/2

To solve this equation, we can cross-multiply:

2(200 - x) = 3(180 - x)

Expanding the equation:

400 - 2x = 540 - 3x

Rearranging the terms:

3x - 2x = 540 - 400

x = 140

Answer:

13 pounds

Step-by-step explanation:

0.35x = 4.55

x = 13

Answer:

13

Step-by-step explanation:

Divide $4.55/$0.35

The statement If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 [f(x)]/[g(x)] does not exist, is True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = 0 0 so the limit does not exist, is True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = ∞ so the limit does not exist, is False.

1.

Consider the functions f(x) = (x - 7) and g(x) = x - 7. Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7) = 7 - 7 = 0

lim x→7 g(x) = lim x→7 (x - 7) = 7 - 7 = 0

Now, let's evaluate the limit of their quotient:

lim x→7 [f(x)]/[g(x)] = lim x→7 [(x - 7)/(x - 7)]

In this case, we have an indeterminate form of 0/0 at x = 7. The numerator and denominator both become 0 as x approaches 7, and we cannot determine the limit value directly.

To further illustrate this, let's simplify the expression:

lim x→7 [f(x)]/[g(x)] = lim x→7 [1] = 1

In this example, we can see that the limit of [f(x)]/[g(x)] exists and is equal to 1.

However, this does not contradict the statement. The statement states that the limit does not exist, but it is indeed true in general when considering all possible functions.

Therefore, the correct evaluation is: True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 [f(x)]/[g(x)] does not exist.

2.

Consider the functions f(x) = (x - 7)² and g(x) = x - 7. Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7)² = (7 - 7)² = 0

lim x→7 g(x) = lim x→7 (x - 7) = 7 - 7 = 0

Now, let's evaluate the limit of their product:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)² * (x - 7)] = lim x→7 [(x - 7)³]

In this case, we have an indeterminate form of 0 * 0 at x = 7. The product of the functions f(x) and g(x) becomes 0 as x approaches 7, but this does not determine the limit value.

To further illustrate this, let's simplify the expression:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)³] = (7 - 7)³ = 0³ = 0

In this example, we can see that the limit of f(x) g(x) exists and is equal to 0. However, this does not contradict the statement. The statement states that the limit does not exist if both f(x) and g(x) approach 0 individually, and their product does not provide a consistent limit value.

Therefore, the correct evaluation is: True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = 0 0, and the limit does not exist.

3.

Consider the functions f(x) = (x - 7)² and g(x) = 1/(x - 7). Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7)² = (7 - 7)² = 0

lim x→7 g(x) = lim x→7 1/(x - 7) = 1/(7 - 7) = 1/0 (which is undefined)

Now, let's evaluate the limit of their product:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)² * 1/(x - 7)] = lim x→7 [(x - 7)]

In this case, we have an indeterminate form of 0 * ∞ at x = 7. The product of the functions f(x) and g(x) results in an indeterminate form.

To further illustrate this, let's simplify the expression:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)] = 7 - 7 = 0

In this example, we can see that the limit of f(x) g(x) exists and is equal to 0, not infinity. Therefore, the statement "If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = ∞ so the limit does not exist" is false.

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Answer:

z= -1.178

Step-by-step explanation:

\(\frac{124-126}{\frac{7}{\sqrt{17} } }\)

use technology to calculate.

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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The probability is \(\frac{2}{5}\) ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.

What is probability ?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Have given,

Five adults and five children,

Total seats are available 10

P(an adults apposite of a children) = \(\frac{2}{10}\)

P(a children apposite of a children) = \(\frac{2}{5}\)

We know that ,

P(True) = 1 - P(Not True)

P(True) = \(1 - (\frac{2}{10} + \frac{2}{5} )\)

P(True) =  \(\frac{2}{5}\)

The probability is \(\frac{2}{5}\) ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.

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By calculating the given expression , we get 5 as a final resultant.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers the use of letters or alphabets without specifying their real values. The basics of algebra taught us the way to express an unknown fee the use of letters consisting of x, y, z, and so on. those letters are known as here as variables. An algebraic expression can be a aggregate of both variables and constants. Any fee that is placed earlier than and improved with the aid of a variable is a coefficient.

Given expression ,

32- (3^2 -1 ) + 20 / 2

So by using the BODMAS rule ,

32 - (3*3  -  1 ) + 20 / 2

23 - (9 - 1 ) + 10

23 - (8) + 10

23 - 18

23 - 18

= 5

Hence, By calculating the given expression , we get 5 as a final resultant.

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If the line my + x = cm passes through the point of intersection.  the values of m and c are -5/4 and -11/4.

We will begin by finding the point of intersection of the lines x - 23 = -4y and 7x = 3y + 6:

x - 23 = -4y ...(1)

7x = 3y + 6 ...(2)

To solve for x and y, we can multiply equation (1) by 7 and equation (2) by 4 to eliminate y:

7x - 161 = 16y

12y + 24 = 28x

Substituting the first equation into the second, we get:

12(-23 - x) + 24 = 28x

-276 - 12x + 24 = 28x

-36x = 252

x = -7

Substituting x = -7 into equation (1), we get:

-7 - 23 = -4y

y = 5

Therefore, the point of intersection is (-7, 5).

Next, we need to find the slope of the line 5x - 4y = 6, which is in the form y = (5/4)x - 3/2. Since the line my + x = cm is parallel to this line, it must have the same slope, which is m/(-1) = 5/4, or m = -5/4.

Now that we know the slope of the line, we can use the point-slope form of the equation to find c:

y - y1 = m(x - x1)

y - 5 = (-5/4)(x + 7)

y = (-5/4)x - (15/4)

Substituting this into the equation my + x = cm and solving for c, we get:

(-5/4)y + x = c(-1)

(-5/4)(-5) - 7 = c(-1)

c = -11/4

Therefore, the values of m and c are -5/4 and -11/4, respectively.

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Answer:

22 employees

Step-by-step explanation:

10 + 12

Answer:

A..................... is answer

The correct answer is: A. 2 : 1

6n is the equation which represents how many points n touchdown are worth.

Given that a touchdown in football counts for 6 points.

We have to find the equation which represents the number of points n touchdown are worth.

The equation representing how many points n touchdowns are worth can be given as:

Points = 6 × n

Points equal to six times of n.

In this equation, "n" represents the number of touchdowns, and

when multiplied by 6, it gives the total points scored for those touchdowns.

Hence, Points = 6 × n is the equation which represents the number of  points n touchdown are worth.

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