write an equation in slope intercept form of the line that passes through tge points (0,-1) and (5,6)​

Using proportions, it is found that the total length of the tree is of 194 inches. Three separate measurements are needed because it is only possible to add values measured in the same unit.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.

For this problem, we have that the measurements in inches, considering the rates in the problem, are as follows:

Hence:

48 + 126 + 20 = 194 inches.

The total length of the tree is of 194 inches. Three separate measurements are needed because it is only possible to add values measured in the same unit.

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The inner product defined by <v, w> = v1w1 + v1w2 + v2w1 + v2w2 does not satisfy the positivity property, thus it does not define an inner product in R^2.

To show that the inner product defined by <v, w> = v1w1 + v1w2 + v2w1 + v2w2 does not satisfy the properties of an inner product in R^2, we need to demonstrate that at least one of the properties is violated.

1. Positivity:

For an inner product, <v, v> should be greater than or equal to zero for any vector v, and <v, v> = 0 if and only if v is the zero vector.

Let's consider a non-zero vector v = (1, 0). Then <v, v> = 1(1) + 1(0) + 0(1) + 0(0) = 1. Since 1 is not equal to zero, the positivity property is violated.

Since the positivity property is not satisfied, the given expression does not define an inner product in R^2.

The complete question must be:

show that <v,w>=v1w1+v1w2+v2w1,v2w2 does not define an inner product of R^2.

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Answer:

I'm certain that it's AB and HI

Step-by-step explanation:

Answer: Parallel: AB and HI

Perpendicular: GE and AE

Step-by-step explanation:

Answer:

6.3*2= 12.6

12.6*3.14= 39.5

39.5 is the answer

Frequency tree-  

              Total People (200)
               /                       \
   Males (95)                    Females (105)
 /           \                    /                 \

The probability of choosing a female among the people without a garden in the village is approximately 56.5%.

To find the probability that the randomly chosen person without a garden is female, we need to consider the number of females without a garden and divide it by the total number of people without a garden.

From the frequency tree, we see that out of the 200 people in the village, 23 do not have a garden. Among them, 13 are females.

Therefore, the probability of selecting a female among the people without a garden is 13/23. This can be simplified as approximately 0.565 or 56.5%.

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The slope, commonly abbreviated as \(m\), is the change in the quantity on the y-axis, Δy, divided by the change in the quantity on the x-axis, Δx.

\(m = \frac{\Delta y}{\Delta x} = \frac{y2 - y1}{x2 - x1}\)

From the points (x, y), the first value is a value on the x-axis, and the second value after the comma is a value on the y-axis. So for the point (8, -3), 8 is x and -3 is y. But we have two points, so:

(8, -3), 8 is x1, -3 is y1

(4, -7), 4 is x2, -7 is y2

Plugging in our values, we get

\(m = \frac{y2-y1}{x2-x1} = \frac{-7-(-3)}{4-8} = \frac{-7 + 3}{-4} = \frac{-4}{-4} = 1\)

So the slope, \(m\), is equal to 1.

Answer:

14.28 %

Step-by-step explanation:

It is given that,

Initial amount is $250 and after 1 year the amount is $285.72. We need to find the percent by which the amount changed. It can be calculated as follows :

\(\%=\dfrac{\text{change in amount}}{\text{initial amount}}\times 100\\\\\%=\dfrac{285.72-250}{250}\times 100\\\\\%=14.28\%\)

Hence, there is an increase of 14.28 % in this case.

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

Answer:

81.2ft

Step-by-step explanation:

33 = h/125

Answer:

3:7

Step-by-step explanation:

AR has 3 spaces while AB has 7 means its 3:7

The slope of the tangent line at (0, 5) is 6. The equation of the tangent line is y = 6x + 5.

To find the equation of the line tangent to the graph of y = 6x + 4 at the point (0, 5), we need to find the slope of the tangent line at that point.

The slope of the tangent line is equal to the derivative of the function at the point (0, 5). Taking the derivative of y = 6x + 4 gives us:

dy/dx = 6

Therefore, the slope of the tangent line at the point (0, 5) is 6.

Using the point-slope form of the equation of a line, we can find the equation of the tangent line:

y - 5 = 6(x - 0)

Simplifying, we get:

y = 6x + 5

So the answer is B) y = 6x + 5.

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Answer:

169.25 \(inches^{2}\)

The expected value for the dice game is -0.5.

To find the expected value for this game, we need to calculate the average value of points gained or lost over all possible outcomes .

Let's consider a fair six-sided die. The possible outcomes are the numbers 1, 2, 3, 4, 5, and 6.

For each outcome, we will determine the value gained or lost based on the rules of the game:

If the outcome is odd, we add the value of the die.

If the outcome is even, we subtract the value of the die.

Let's calculate the expected value by finding the average of these values:

Expected value = (1 + (-2) + 3 + (-4) + 5 + (-6))/6

Expected value = 1 - 2 + 3 - 4 + 5 - 6)/6

Expected value = -3/6

Expected value = -0.5

Therefore, the expected value for this game is -0.5.

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Answer:

A 8 hours

Step-by-step explanation:

Last week she baby sat 12 hours.

This week she baby sat x hours.

Last week she baby sat 1 1/2 times as many hours as this week.

12 = 1 1/2 × this week

12 = 1 1/2 × x

1.5x = 12

x = 12/1.5

x = 8

Answer:

A 8 hours

Answer:

The answer is D

multiple fraction 1 1/2 by the numbers of hours last week.(12)

=11/2 *12

change it to an improper fraction

=3/2 *12

multiple numerators

=3*12/2

=36/2

=18 hours Answer is D

Answer:

Pretty sure it's the first one. It's the only one with the correct y-intercept and has a positive slope.

This is in fancy form, so you want to simplify it:

y = 3/4(x+4) - 6

Multiply it all,

y = 3/4x + 3/4(4) - 6

y = 3/4x + 3 - 6

y = 3/4x - 3

The first one matches.

Answer:

A

Step-by-step explanation:

It matches the first graph.

Answer:

100°

Step-by-step explanation:

40+100=140.

140+120=260.

There is 360° in a quadrilateral, so

360-260=100.

so, the last angle is 100°.

Answer:

Bro this is how I understood it

Step-by-step explanation:

11/12-2/3=1/4

1 5/8-1 4/7=3/56

By:nick

Yo sorry am on my gbf account and I have this app on my phone tht could help out but sense I am on hers I don’t understand tht type of math no more long time sense I saw them number’s ..

Answer:

debt-to-income ratio= 0.7125

Step-by-step explanation:

Giving the following information:

Monthly expenses= $2,850

Monthly income= $4,000

To calculate the debt-to-income ratio, we need to use the following formula:

debt-to-income ratio= monthly debt payment / gross monthly income

debt-to-income ratio= 2,850/4,000

debt-to-income ratio= 0.7125

As a percentage:

debt-to-income= 0.7125*100

debt-to-income= 71.25%

The debt-to-income ratio is the percentage of your income dedicated to paying your debts.

There are 720 possible horse combinations for the first 3 places in the race.

To solve this problem, let us break this down one by one.

There are 10 possible horses that could win in first place.

Therefore, this means that for each of these possibilities, there are now 9 horses that could come in second.

So there are 10 x 9 possible combinations for the first 2 places.

10 x 9 = 90.

And for each of those combinations, there are also 8 possible horses that could come in the third place. So

10 x 9 x 8 = 720

There are 720 possible horse combinations for the first 3 places in the race.

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Using the hypergeometric distribution, it is found that the distribution is:

P(X = 0) = 0.0152

P(X = 1) = 0.1818

P(X = 2) = 0.4545

P(X = 3) = 0.3030

P(X = 4) = 0.0455

Hence:

A) There is a 0.0455 = 4.55% probability that all selected rats are female.

B) There is a 0.1818 = 18.18% probability that only one of the selected rats is female.

C) There is a 0.803 = 80.3% probability that at least two of the selected rats is female.

D) The mean of the probability distribution is of 2.18.

E) The standard deviation of the probability distribution is of 0.833.

The rats are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

The formula is:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The distribution is the probability of each outcome, hence:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,11,4,6) = \frac{C_{6,0}C_{5,4}}{C_{11,4}} = 0.0152\)

\(P(X = 1) = h(1,11,4,6) = \frac{C_{6,1}C_{5,3}}{C_{11,4}} = 0.1818\)

\(P(X = 2) = h(2,11,4,6) = \frac{C_{6,2}C_{5,2}}{C_{11,4}} = 0.4545\)

\(P(X = 3) = h(3,11,4,6) = \frac{C_{6,3}C_{5,1}}{C_{11,4}} = 0.3030\)

\(P(X = 4) = h(4,11,4,6) = \frac{C_{6,4}C_{5,0}}{C_{11,4}} = 0.0455\)

Item a:

P(X = 4) = 0.0455, hence:

There is a 0.0455 = 4.55% probability that all selected rats are female.

Item b:

P(X = 1) = 0.1818, hence:

There is a 0.1818 = 18.18% probability that only one of the selected rats is female.

Item c:

\(P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.4545 + 0.3030 + 0.0455 = 0.803\)

There is a 0.803 = 80.3% probability that at least two of the selected rats is female.

Item d:

The mean of the hypergeometric distribution is:

\(\mu = \frac{nk}{N}\)

Hence:

\(\mu = \frac{4(6)}{11} = 2.18\)

The mean of the probability distribution is of 2.18.

Item e:

The standard deviation of the hypergeometric distribution is:

\(\sigma = \sqrt{\frac{nk(N-k)(N-n)}{N^2(N-1)}}\)

Hence:

\(\sigma = \sqrt{\frac{4(6)(11-6)(11-4)}{11^2(11-1)}} = 0.833\)

The standard deviation of the probability distribution is of 0.833.

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Answer:

Step-by-step explanation:

Each string makes a shortest distance from the vertices to opposite sides.

This is the altitude.

Altitudes are concurrent in a point that is known as the orthocenter.

When subtracting several quantities, the number of decimal places in the result should match the quantity with the fewest decimal places or the highest level of precision for consistency and accuracy.

When performing subtraction, it is important to maintain consistency in terms of decimal places or precision. The number of decimal places in the result should match the quantity with the fewest decimal places among the numbers being subtracted.

For example, let's consider the following subtraction:

2.4567 - 1.23 = 1.2267

In this case, both numbers have four decimal places, so the result also has four decimal places.

However, if we have a situation like this:

3.45 - 1.236 = 2.214

In this case, the number being subtracted has three decimal places, so the result is rounded to three decimal places to maintain consistency.

The general principle is to consider the number with the fewest decimal places or the highest level of precision when determining the number of decimal places in the result of a subtraction operation. This ensures that the result is presented in a consistent and meaningful manner.

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Answer:

1725 ft^2

Step-by-step explanation:

\(\frac{b_{1} + b_{2}}{2} (h) = \frac{65 + 50}{2} (30) = \frac{115}{2} (30) = 57.5(30) = 1725\)

Brainliest would be appreciated!

Answer:

A.

Step-by-step explanation:

A way to find the equation of the graph is to find the solutions.

On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.

In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).

The correct equation is A.

Hope this helps!

a)  f is a bijection between the set of balanced strings in \(T^6\) and the set of strings in\(T^5.\) b) the total number of balanced strings in T6 is 727 + 192 + 192 = 1111.

Let x ∈ T6 be a balanced string. We define the function f : T6 → T5 by removing the last digit of x. That is, f(x) is the string obtained from x by deleting the sixth digit. It is clear that f(x) is a string in T5.

To show that f is a bijection, we need to show that it is both injective and surjective.

Injective: Suppose f(x) = f(y) for some x, y ∈ T6. Then x and y differ only in their last digit. Since the sum of the digits of x and y are both multiples of 3, their last digits must be congruent modulo 3. But the only way for two digits in T to be congruent modulo 3 is if they are the same. Therefore, x and y are identical except for their last digit, so x = y, and f is injective.

Surjective: Let y ∈ T5 be an arbitrary string. We define x ∈ T6 by adding a digit to the end of y such that the sum of the digits of x is a multiple of 3. We can always find such a digit, since adding any digit from T will either leave the sum unchanged or change it by 1 modulo 3. Therefore, f(x) = y, and f is surjective.

Since f is both injective and surjective, it is a bijection.

b) To count the number of balanced strings in T6, we note that there are three cases to consider: the sum of the digits is 0 mod 3, 1 mod 3, or 2 mod 3.

Case 1: The sum is 0 mod 3. In this case, we must choose six digits from {0, 1, 2} such that their sum is a multiple of 3. We can choose any combination of digits from {0, 1, 2} except for all 0's or all 2's. There are 3^6 - 2 = 727 cases in this case.

Case 2: The sum is 1 mod 3. In this case, we must choose five digits from {0, 1, 2} such that their sum is 2 mod 3, and then add a sixth digit that is 2 mod 3. There are (3 choose 2) * 2^5 = 192 cases in this case.

Case 3: The sum is 2 mod 3. In this case, we must choose five digits from {0, 1, 2} such that their sum is 1 mod 3, and then add a sixth digit that is 1 mod 3. There are (3 choose 2) * 2^5 = 192 cases in this case.

Therefore, the total number of balanced strings in T6 is 727 + 192 + 192 = 1111.

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Answer: The answer is 2.6 gallons

Step-by-step explanation:

10 liters contain 2.6 gallons.

Given that,
3 liters is approximately 0.78 gallons,
To determine how many gallons are in 10 liters to be .

In mathematics, it deals with numbers of operations according to the statements.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here, the volume of 3 liters is approximately equal to 0.78 gallons. So,
3 liters = 0.78 gallons
dividing by 3 both sides
1 liter = 0.78 / 3 gallons
Multiply by 10 on both sides
10 liters = 10 * 0.78 / 3 gallons
10 liters = 2.6 gallons

It implies a volume of 10 liters contains 2.6 gallons

Thus 10 liters contain 2.6 gallons.

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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The net weight of Jada's at the end of the year is the sum of his initial weight and the change in weight recorded, which is : 55 pounds

Net weight of the dog can be expressed thus :

Therefore, the dog's weight at the end of the year is 55 pounds.

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Answer:

Step-by-step explanation:

Using a system of equations, the amounts of each coin that he has is given as follows:

The variables to the system of equations are given as follows:

Nicholas has nickels, dimes and quarters that total $12.30, hence, considering the value of each coin:

0.05x + 0.1y + 0.25z = 12.30.

The number of dimes is 3 more than twice the number of nickels, hence:

y = 2x + 3.

The number of quarters is three times the number of nickles, hence:

z = 3x.

Then we can solve for x as follows:

0.05x + 0.1y + 0.25z = 12.30.

0.05x + 0.1(2x + 3) + 0.25(3x) = 12.30.

x = 12. (nickels)

Then the other amounts are as follows:

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