(+ y + 3) (y + 1).

Answer:

= 14w + 6

Step-by-step explanation:

= 12w + 2w + 6

Add similar elements: 12w + 2w = 14w

= 14w + 6

The y-intercept of the equation y = 3x − 2 is (0, -2).

y-intercept

In Mathematics, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx + c, where m is slope and c is the y-intercept.

Equation of a line

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.

Given that lies on the graph of the equation y = 3x − 2.

We know that

In an equation of line

y = mx + c

m = slope of a line

c = y intercept

So therefore in given equation of line the y intercept is (0, -2).

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Answer:

This answer is A

Step-by-step explanation:

your welcome, im fast to answer

Answer:

the answer is a

Step-by-step explanation:

Answer:

20% chance

Step-by-step explanation:

20 is the whole

5 times 20 is 100

5% = 1 ticket

5% times 4 is 20%

Answer:

4/10 (2/5)

Step-by-step explanation:

The answer would be 4/10 or 2/5, They are both right, but 2/5 is simplified, so its better.

Matt is bringing 2/5 cake to the school.

Matt is bringing 0.4 part of the whole cake to school.

We have to represent this 0.4 part of the whole cake in fractions.

What is a fraction?

A fraction is a part of a whole. A fraction has two parts. The number on the top of the line is called the numerator and the number below the line is called the denominator.

0.4 can be written as 4/10.

0.4 can also be written as 2/5.

We will consider 2/5 as our answer since it is in the simplest fraction form.

Matt is bringing 2/5 cake to the school.

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Answer:

The answer is 4

Step-by-step explanation:

If this helps may i plz have brainliest :)

Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

Fraction of the students are studying more than one hour each night is 17/24.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Total student in the class = 48

students studying less than 1 hour = 8

students that don't study at night = 6

students studying more than one hour a night = 48 - (8+6) = 34

fraction of the students studying more than one hour -

= 34/48

= 17 / 24

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Answer:

1023/4

Step-by-step explanation:

shown in the picture

(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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Answer:

What is the area of the border of the wall?

Step-by-step explanation:

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

From the question, we have the following parameters that can be used in our computation:

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Hence, the area is 159.09

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Answer:

I don't know the answer

Step-by-step explanation:

I am sorry bro or sister. I really don't know answer these question

109.5

You multiply 2 and 9 to get 18 then you multiply 6 and 13 to get 78 next you subtract 6 and 2 to get 4 and the add 4 and 5 to get 9 now you multiply 9 and 3 to get 27 and then divid 27 by 2 to get 13.5 now you add 13.5 and 18 and 78 to get 109.5 which is the final answer.

Answer:

no its not true

Step-by-step explanation:

On solving the provided question we can say that - the equation we have are x + y = 2000 and 12x + 30y = 46140

an expression that shows how two expressions on each side of a letter are connected. There is often only one variable and an equals sign. Two expressions are combined by an equal sign to form a mathematical statement known as an equation. For instance, the equation is 3x - 5 = 16. The value of the variable x in this equation, as determined by its solution, is 7.

Allow x for the number of reserve seats and y for the number of box seats.

Currently, 2000 tickets have been sold in total.

As a result, x + y = 2000.

Seats with reservations are $12.

$30 for a box seat.

In perspective of the equations 12x + 30y = 46140

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:

n = 5

Step-by-step explanation:

m = 2n + 7

m = 4n - 3 (Multiply by -1)

-m = -4n + 3

m = 2n + 7

0 = -2n + 10

-10 = -2n

n = 5

Answer: 3 hours

Step-by-step explanation:

195/65=3

Answer:

3

Step-by-step explanation:

$195 divided by $65 is 3 hours of work

To find the rate at which the light projected onto the wall is moving along the wall, we can use trigonometry and calculus. Let's denote the angle between the rotating light and the wall as θ.

Given:

Distance from the light to the wall, r = 15 feet

Rate of rotation, dθ/dt = 1 rotation every 4 seconds

We need to find the rate at which the light's projection moves along the wall, which is represented by dx/dt.

Using trigonometry, we know that the tangent of the angle θ is equal to the ratio of the distance along the wall (dx) to the distance from the light to the wall (r).

tan(θ) = dx / r

Differentiating both sides of the equation with respect to time t, we get:

sec^2(θ) * dθ/dt = dx/dt

Since we are given that the angle θ is 15 degrees, we can substitute the values and solve for dx/dt.

sec^2(15°) * (1 rotation / 4 seconds) = dx/dt

Simplify and calculate the value to find the rate at which the light's projection moves along the wall in feet per second.

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Answer:

x= 4

Step-by-step explanation:

x acts as a perpendicular bisector so we can form two right angled triangles

it means the length that is 6 divides by two so each triangle can have 3 units at the bottom

So we can take one right angled triangle and use Pythagoras theorem to find x

from Pythagoras theorem

a²+b²=c² of which c is the hypothenuse,and a and b are the other two sides

x² + 3² = 5²

x²+3²-3² = 5² - 3² (you need to isolate x² )

x² = 25 - 9

x²= 16

to find x whe find the square root of both sides

√x² = +/-√16

x= +/- 4

x is therefore equal to + 4 because length can be negative

The proof demonstrates that given a well-ordered set W, an isomorphic ordinal can be found using the function F. The uniqueness of this ordinal is established using the Replacement Axioms. The set F(W) is shown to exist for each x in W, and if the least F(W) exists, it serves as an isomorphism of VV onto -y.

Lemma 2.7: This is a previously stated lemma that is referenced in the proof. Unfortunately, without the specific details of Lemma 2.7, it's difficult to provide further explanation for its role in the proof.

Well-ordered set W: A well-ordered set is a set where every non-empty subset has a least element. In this proof, W is assumed to be a well-ordered set.

Isomorphic ordinal: An ordinal is a mathematical concept that extends the notion of natural numbers to represent order and magnitude. An isomorphic ordinal refers to an ordinal that has a one-to-one correspondence or mapping with another ordinal, preserving their order and magnitude properties.

Function F: The function F is defined to assign an ordinal o to each element x in W. This means that for every x in W, there is a corresponding ordinal o.

Existence and uniqueness: The proof asserts that if there exists an ordinal o that is isomorphic to a specific initial segment of the ordinal VV (the set of all ordinals), then this ordinal o is unique. In other words, there is only one ordinal that can be mapped to the initial segment of VV given by x.

Replacement Axioms: The Replacement Axioms are principles in set theory that allow the construction of new sets based on existing ones. In this case, the Replacement Axioms are used to assert that the set F(W) exists, which is the collection of all ordinals that can be assigned to elements of W.

For each x in W: The proof states that for every x in W, there exists an ordinal o that can be assigned to it. If there is no such ordinal, the proof suggests considering the least x for which such an ordinal does not exist.

The least F(W): The proof introduces the concept of the least element in the set F(W), denoted as the least F(W). If this least element exists, it serves as an isomorphism (a one-to-one mapping) of the set of all ordinals VV onto the ordinal -y.

Overall, the proof outlines the existence and uniqueness of an isomorphic ordinal that can be obtained from a well-ordered set W using the function F, and it relies on the Replacement Axioms and the concept of least element to establish this result.

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Answer:

3/4

Step-by-step explanation:

Answer:

n > 45

Step-by-step explanation:

the open circle means it is not equal to 45

The Correct answer is  D) Most students read more often than they draw.as the median of the "read" plot is lower than the median of the "draw" plot.

Based on the box plots, we can see that:

The median for the "read" data is around 8 days per month, and the interquartile range (IQR) is between 4 and 12 days.

The median for the "draw" data is around 12 days per month, and the IQR is between 8 and 16 days.

So, we can conclude that:

A) Most students read less than 12 days a month. This is true, since the median for the "read" data is below 12 days per month, and the box plot shows that most of the data is concentrated in the lower half of the range.

B) Most students draw at least 12 days a month. This is not true, since the median for the "draw" data is around 12 days per month, and the box plot shows that there is a considerable amount of data below that median.

C) Most students draw more often than they read. This is not true, since the median for the "read" data is lower than the median for the "draw" data.

D) Most students read more often than they draw. This is true, since the median for the "read" data is lower than the median for the "draw" data, and the box plot shows that most of the "read" data is concentrated in the lower half of the range, while most of the "draw" data is concentrated in the upper half of the range.

The box plots below show data from a survey of students under 14 years old. They were asked on how many days in a month they read and draw. Based on the box plots, which is a true statement about students? pg780337 A Most students read less than 12 days a month. B Most students draw at least 12 days a month. C Most students draw more often than they read. D Most students read more often than they draw.

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With probability that person has high blood pressure = 0.3 and the probability that person is a runner = 0.4, they are not independent events. So, Correct option is D .

Independence between two events is defined as follows, if two events A and B are independent, then the occurrence of one event (A) has no effect on the probability of occurrence of the other event (B). This can be mathematically represented as:

P(A ∩ B) = P(A) * P(B)

where P(A ∩ B) is the probability of both events A and B happening at the same time.

In this question, we are given the probabilities of two events: H (high blood pressure) and R (being a runner). The probability of H is 0.3 and the probability of R is 0.4. We are also given that the probability of H and R happening at the same time is 0.2.

Now, to check if H and R are independent, we need to see if the equation

P(H ∩ R) = P(H) * P(R)

holds true.

Plugging in the given values, we get:

0.2 = 0.3 * 0.4

This equation is false, so we can conclude that H and R are not independent events. This means that the occurrence of one event affects the probability of occurrence of the other event.

Option d) states that H and R are independent events, which we have just shown to be false.

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Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation: