A line contains the points (45, - 52) and (48, -65). What is the slope of the line in simplified form?

Answer:

35 + 17c I hope this helps!! Plz give brainliest!!!

Step-by-step explanation:

7(5+2c)+3c

35+14c+3c

35+17c

The seal's new position relative to the surface of the ocean is 47 meters below.

It is important to note that that question has to do with elevation which is the change in position with regards to the sea or ocean level.

In this case, the harbour seal dives 35 metres below the ocean's surface and then it dives down an additional 12 metres

The new position will be;

= -35 - 12

= -47

This implies that it's 47 meters below the ocean surface.

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The standard deviation of the data set is 10.12 and the range is 25

The range of a data set is the difference between the largest and smallest values in the set. It provides a measure of the spread of the data from the lowest value to the highest value.

The standard deviation of a data set is a measure of the amount of variation or dispersion in the data set. It is the square root of the average of the squared differences from the mean.

Both the range and standard deviation are measures of dispersion in a data set, but the range only considers the extreme values, while the standard deviation considers all the values in the data set.

The range and standard deviation of the data set is 25 and 10.12 respectively.

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The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

5/3

Step-by-step explanation:

The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.

we have to standardize the values and utilize the standard typical dispersion table or calculator.

To discover the z-scores for 4.0 and 6.0  minutes:

z1 = (4.0 - 6.0  ) / 0.70 = 2.8

z2 = (4.5 - 6.0  ) / 0.70= 2.1

Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:

P(0 ≤ Z ≤ 2.1) = 0.4332

However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.

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Answer:

1.25b

Step-by-step explanation:

Let the cost of stock in a bank, b.

Now, since the price of a stock in a computer company is 25% greater than the cost of stock in a bank, it means;

the cost of stock in the computer company = b + 25%b = 1.25b

Thus,total cost of stock in both bank and computer company is;

Sum = 1.25b

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

A

Step-by-step explanation:

hope this helps

Answer: 48 more monthly payments

Step-by-step explanation:

the statement is

4 baby out of 5 babies has brown eyes.

so the ratio for the number of babies with brown eyes to the total number of babies is,

= 4/5

2)

the equation will

y = 4/5 x

here, y = number of babies with brown eyes,

x = total number of babies

thus,, the answer is y = 4/5 x

Answer:

54 divided by 9 = 6

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Rational numbers are integers, fractions, decimals, and whole numbers.

37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

=8

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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The solution is Option C.

The value of the quadratic equation is 5x² + 2x = 7

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

5x² + 2x = 7  

On simplifying the equation , we get

Subtracting 7 on both sides of the equation , we get

5x² + 2x - 7 = 0   be equation (1)

Now , the roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

Substituting the values in the equation , we get

x = [ -2 ± √ ( 4 - 4 ( 5 ) ( -7 ) ] / 10

x = [ -2 ± √ ( 144 ) ] / 10

x = ( -2 ± 12 ) / 10

So , the two roots of the equation are

x = ( -2 + 12 ) / 10

x = 10/10 = 1

And , x = ( -2 - 12 ) / 10

x = -14/10

x = -7/5

Hence , the roots of the quadratic equation are 1 and -7/5

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Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

Answer:

250 grams because 1 kilogram=1000grams

Answer:

250g

Step-by-step explanation:

1kg=1000g

1000g

-  750g

  250g

Hope this helps

Brainliest pls

Have a great day!

Answer:

False, a reflection is a complete opposite image of the original, think of it like a mirror.

Step-by-step explanation:

Answer:

36.84%

Step-by-step explanation:

7 over 19 as a percentage?

We Take

(7 ÷ 19) x 100 ≈ 36.84%

So, the answer is 36.84%.

Answer:

1/2 < 2/3

Step-by-step explanation:

1/2 = .5 in decimal form while 2/3 is .6 repeating in decimal form

1/2 < 2/3

*Watch image for better understanding

Blue portion is 1/2

Red portion is 2/3

so, obviously red portion is bigger than blue one.

Answer:

1,500

Step-by-step explanation:

Remember that in a cost function, the cost per item is multiplied by x and the fixed cost is the part of the equation that is not multiplied by anything.

Cost = (Cost per item)(x) + Fixed cost

C(x) = 90x + 1,500

As you can see:

(Cost per item) would be 90

x would be, well x.

The fixed cost would be 1,500.

Answer:

D

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Answer:

x=10

y=\(10\sqrt{3}\)

Step-by-step explanation:

Since there is a 30 degree angle, it is a special right triangle, 30 60 90 triangle. The shorter leg represents "a," the longer leg represents "a√3", and the hypotenuse represents 2a.

The triangle has a hypotenuse of 20 and we are trying to find x and y. x=10 because x is the opposite side of 30 degrees and x is half of the hypotenuse. y=\(10\sqrt{3}\) because we already know the x value and y is opposite of 60 degrees. As mentioned before, the longer leg represents a√3.

Hope this helps and have a good day.  

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

1/4 = 3/12 = 1/12+1/12+1/12

Step-by-step explanation:

Because 1/4 equals 3/12.

The fourth proportional {x} between a, b, and c can be written as {x} = (ac/b).

Given are three length parameters as [a], [b] and [c].

For the fourth proportional {x}, the relationship can be written as -

a/x = b/c = k  {constant}

x = (ac/b) = k  {constant}

Therefore, the fourth proportional {x} between a, b, and c can be written as {x} = (ac/b).

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