Find the measure of each angle in Triangle TUV when angle T measures (7x + 4) degrees, angle U measures (2x + 5) degrees and angle V measures (5x + 3) degrees.

Answer:

$3,700

Step-by-step explanation:

16% of 2500=400

400×3(years)=1200

2500+1200=3700

Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

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Answer:

(4x - 2).

Step-by-step explanation:

12x^2 + 20x - 6x - 10

= 12x^2 + 14x - 10

= 2(6x^2 + 7x - 5)

= 2(2x - 1)(3x + 5)

= (4x - 2)(3x + 5)

= 12x^2 + 20x - 6x - 10

Hope this helps!

Answer:

(4x - 2)

Step-by-step explanation:

choice A

The probability that at least one of the machines will work properly during the given 8-hour period is 65/66.

To determine the probability that at least one of the machines will work properly during the given 8-hour period, we can use the principle of complementary probability. We will find the probability that both machines fail and subtract it from 1.

Let's denote C as the event that both machine 1 and machine 2 fail to work properly. The probability of both machines failing is given by:

Pr(C) = Pr(A' ∩ B')

Since machine 1 and machine 2 operate independently, we can use the multiplication rule:

Pr(A' ∩ B') = Pr(A') * Pr(B')

Now, the complement of event A (machine 1 works properly) is the event that machine 1 fails to work properly. Therefore, Pr(A') is the complement of Pr(A):

Pr(A') = 1 - Pr(A)

Similarly, Pr(B') is the complement of Pr(B):

Pr(B') = 1 - Pr(B)

Substituting these values back into the equation, we have:

Pr(C) = (1 - Pr(A)) * (1 - Pr(B))

Now, let's calculate the probability that at least one machine works properly:

Pr(at least one machine works) = 1 - Pr(C)

Substituting the value of Pr(C) we obtained earlier, we have:

Pr(at least one machine works) = 1 - (1 - Pr(A)) * (1 - Pr(B))

Plugging in the given probabilities Pr(A) = 5/6 and Pr(B) = 10/11, we can calculate:

Pr(at least one machine works) = 1 - (1 - 5/6) * (1 - 10/11)
                               = 1 - (1/6) * (1/11)
                               = 1 - 1/66
                               = 65/66

Therefore, the probability that at least one of the machines will work properly during the given 8-hour period is 65/66.

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The sine function for the temperature is given as follows:

y = 7sin(π/12(x - 14)) + 59.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

The function oscillates between 52 and 66, for a difference of 14, hence the amplitude is given as follows:

2A = 14

A = 7.

The function oscillates between -A + 59 and A + 59, hence the vertical shift is given as follows:

D = 59.

The period is of 39 - 15 = 24 units, hence the coefficient B is given as follows:

2π/B = 24

B = π/12.

The function is at it's midline after 14 hours, hence the phase shift is given as follows:

C = 14.

Thus the function is given as follows:

y = 7sin(π/12(x - 14)) + 59.

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Step-by-step explanation:

Given the formula below

Answer:

He makes 460 per week

Step-by-step explanation:

Answer:

(-1, 0), (2, 0), (3, 0)

Step-by-step explanation:

x-intercept of a line is defined by a point where y = 0.

So the point in the form of (x, 0) will be the x-intercept of the given continuous function.

From the table attached,

For x = -1, f(-1) = 0

For x = 2, f(2) = 0

For x = 3, f(3) = 0

Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the continuous function f(x).

Answer:

A' = (-3,2)

Step-by-step explanation:

(Sorry my lines aren't straight just pretend they are)

The reason why this is the answer is because, this goes over the y-axis. Which means that the answer wouldn't be (-2, 2).

(I don't know where those two people got the answer)

Therefore, because of the picture the only answer for A' would be (-3, 2)

The area painted red on one of the front wheels on DeMarius’ car will be 80.42 inches².

From the information given, the The front wheels on DeMarius’ car are divided into sectors of equal area and the radius of each wheel is 8 inches. The area will be:

= 2/5 × πr²

= 0.4 × 3.14 × 8²

= 80.42 inches²

The radius, in feet, of a rear wheel on the car will be:

r1(2π) = r2(2π)

8(2π) = r2(8/5)(2π)

16 = r2(8/5)

r = 5/8 × 16

r = 10 inches

r = (5/6) feet

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Answer:

num 3 is equivalent to because 29-5 is just 24+5

Answer:

The correct answer is 24+5=29

Step-by-step explanation:

i took the quiz

Answer:

Step-by-step explanation:

The question is

There is 11.73 kg of chocolate candies in the grocery store. The first customer bought 48 dag of candies. A second customer bought 4/5 of the remaining quantity. The last three customers bought the same amount of candy. How much chocolate did the last customers get?

Givens

Let's transform 48 dag to kilograms.

\(48dag \times \frac{1kg}{100dag}= 0.48 \ kg\)

Therefore, the first costumer bought 0.48 kilograms of candies.

The remaining amount is: \(11.73kg-0.48kg=11.25kg\)

Now, we need to multiply the remaining amount of candies with 4/5

\(\frac{4}{5} \times 11.25kg=9 \ kg\)

Therefore, the second costumer bought 9 kilograms of chocolate candies.

At last, we need to find the new remaining part of candies, which is

\(11.25-9=2.25 \ kg\)

Therefore, the last costumers got 2.25 kilograms of chocolate candies.

Answer:

Two solutions

Step-by-step explanation:

Given the functions Y = -x + 1 y = -x² + 4x − 2

Since they are both y values, we will equate them to have:

-x+1 = -x² + 4x − 2

Equate to zero

x²-x-4x+1+2=0

x²-5x+3 = 0

Since the resulting equation is quadratic (highest degree being 2), hence there will be two solutions to the equation

Answer:8 ounces more

Step-by-step explanation:Toppings cost 50 cents, 50 cents times 8 = $3.50

Answer: 8 ounces more

Step-by-step explanation: Toppings cost 50 cents, 50 cents times 8 = $3.50

To test whether a data model is biased, one can compute the average difference between a predicted result and an actual result using the bias() function.

Unreasonably supporting or opposing someone or something because you allowed your opinions to cloud your judgement: The senator accused the media of being biased. Journalists need to be objective and free of political prejudice. Cognitive biases are systematic thinking errors that are often learned from cultural and personal experiences.

They lead to perceptional distortions when people make decisions. Even though data may appear to be objective, it can still be biased because it is gathered and handled by humans. We are not objective in the way we perceive things. Biases can be deliberate or unintentional. If given the choice between three shirts, a person might choose the one in their preferred hue above the other two.

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Correct Question:

A data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this?

The value of the expression for p=4 and q=-4 is 240. To factor the expression \(p^2q^2+pq-q^3-p^3,\) we can use the factoring by grouping method.

First, we can factor out a common factor of pq from the first two terms and a common factor of \(q^3\) from the last two terms:

\(p^2q^2 + pq - q^3 - p^3\)

\(= pq(pq + 1) - q^3 - p^3 + q^3\)

\(= pq(pq + 1) - p^3\)

Now, we can factor the expression \(-p^3\) by using the difference of cubes formula:

\(= pq(pq + 1) - (p)(p^2)\)

\(= pq(pq + 1 - p^2)\)

So the fully factored form of the expression is \(pq(pq + 1 - p^2).\)

To find the value of the expression for p=4 and q=-4, we can substitute these values into the factored form:

\(pq(pq + 1 - p^2)\)

\(= (4)(-4)((4)(-4) + 1 - (4)^2)\)

= (-16)(-15)

= 240

Therefore, the value of the expression for p=4 and q=-4 is 240.

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Answer:

n = n/4 - 2

Step-by-step explanation:

n = 1/4 * n - 2

   = n/4 - 2

Answer: 15

Step-by-step explanation: 60/4=15

the perimeter is the overall numbers that are on each side that add up since a square has 4 sides and the overall perimeter=60 in all then it's 60/4=15

Answer:

The opposite will be positive 8.

Step-by-step explanation:

Answer: +8

Step-by-step explanation:

Answer: The fundamental theorem of algebra states that the equation 2x^2+8x+14=0 has at least one complex root, which means that there are numbers that can be plugged into x that make the equation equal to zero. ✅

PLEASEEEE GIVE BRANLIEST

Step-by-step explanation:

The fundamental theorem of algebra states that for any non-constant polynomial equation with real or complex coefficients, there is at least one complex root (or solution).

In the case of the equation 2x^2+8x+14=0, the theorem guarantees that this equation has at least one complex root, which means that there are numbers that can be plugged into x that will make the equation equal to zero.

So, the fundamental theorem of algebra guarantees that for the equation 2x^2+8x+14=0, there exists at least one complex solution that makes the equation true. In this case, the solutions are x = -1+i and x = -1-i ✅

Answer:

3

5

49

289

15625

just find the answer of each and then divide em by each other

ex:

\(3^{4\\} \\\)= 81 and \(3^{3}\)= 27

81 divided by 27 equals 3

The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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Answer: x=27 y=25

Step-by-step explanation: the question is (x+2)+y=52

we can move subtract 2 from both sides leaving x+y=50

then we can divide 50 by 2 because they are now equaled to eachother

that means hannah is 25 but we will add back to Ms. Johnsons 2 years that she is older so Ms. Johnson is 27

x=Ms. Johnson so x=27 amd y=Hannah so y=25

Let original amount be x

\(\\ \tt\Rrightarrow 0.33x=18.5\)

\(\\ \tt\Rrightarrow x=18.5/0.33\)

\(\\ \tt\Rrightarrow x=56.06oz\)

\( \huge \sf \dag Answer : \)

suppose, x = lots of cereal now.

\(\longmapsto \rm 33\%y = 18.5ounces\)

\(\longmapsto \rm y = \frac{18.5ounces}{33\%}\)

\(\longmapsto \rm y = \boxed{\bold{56.06ounces}}\)

Answer:

4,5,6.

Step-by-step explanation:

This is the answer because these 3 x values are the one's where the y value is less than one, and another name for y is f(x). Hope this helped!

Answer:

Answer is (D)    x2 – 4x – 12

Step-by-step explanation:

edge 2020 test

Using the conversion factor, Joselyn bought 2700 grams of chocolate candy

A conversion factor is a numerical ratio used to convert a measurement from one unit to another. It is a mathematical expression that is used to convert a quantity expressed in one unit of measure into an equivalent quantity expressed in another unit of measure.

To convert 2.7 kg to grams, Joselyn would use a conversion factor between kilograms and grams. The conversion factor is 1000 grams per 1 kilogram, which means there are 1000 grams in one kilogram.

So, to convert 2.7 kg to grams, Joselyn would multiply 2.7 kg by the conversion factor

2.7 kg x 1000 g/kg = 2700 g

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Using substitution, the indefinite integral is given by:

\(-2e^{\frac{1}{x^2}} + c\)

The indefinite integral that we want to find is given by:

\(\int \frac{e^{\frac{1}{x^2}}}{x^3} dx\)

We apply the following substitution:

\(u = \frac{1}{x^2}\)

\(du = -\frac{2}{x^3} dx\)

\(dx = -\frac{x^3}{2} du\)

Then the integral is given by:

\(\int \frac{e^{\frac{1}{x^2}}}{x^3} -\frac{x^3}{2} du\)

\(-2\int e^{u} du\)

Since \(\int e^{u} du = e^u\), we have that:

\(-2\int e^{u} du = -2e^u + c\)

In which c is the constant of integration. Replacing the value of u, the indefinite integral is given by:

\(-2e^{\frac{1}{x^2}} + c\)

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Answer:

(-2,-3)

Step-by-step explanation:

I took the test and got it wrong at first but seen the correct answer when I looked at my results.

The turning point of the function f(x) = |x+3| -2 will be (-3, -2).

The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.

Given that the absolute function is f(x) = |x+3| -2. When we plot the graph of the absolute function f(x) = |x+3| -2 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( -3,-2).

Therefore, the absolute function is having its turning point at the coordinate ( -3,-2).

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We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.

The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.

The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.

By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.

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