When m of the original line is -3,m of the perpendicular line is ……..

Answers

Answer 1

slope(m) of the perpendicular line is 1/3.

What is meant by slope?

Slope of a line in mathematics is defined as its steepness. It is calculated as rise(difference of y- coordinates) over run(differences of x- coordinates) .

What is meant by perpendicular lines?

Two lines which intercept each other at an angle of 90 degree are known as perpendicular lines.

According to the given data and using the formula of perpendicular slope(m1*m2=-1);

Slope(m1) of original line =-3

Let the slope of perpendicular line be m2

m1*m2=-1

-3*m2=-1

m2=1/3

hence slope (m2) =1/3

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Related Questions

The radius of a circle is 8 meters. What is the circle's area?
r=8 m
Use 3.14 for .

Answers

Answer:

200.96

Step-by-step explanation:

3.14*r²

so 3.14*8²=200.96

Select the correct answer from each drop-down menu
-Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have not. The results
of the test are shown in a table. Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person
Prefers Snack A
Prefers Snack B
Total
Has Eaten Snack
A before
144
92
Has Not Eaten
108
228
Snack A before
Total
252
320
Complete the conclusions based on the data in the table.
236
336
572
Given a person who has eaten snack A before, the customer will
Given a person who has not eaten snack A before, the customer will want to eat snack

Answers

The probability of the customer wants to take snack B is 144/320 as they have already taken snack A

and the probability of the customer who has not taken snack A before

wants to take snack A =108/252

What is probability?

It is the ratio of favorable outcome to total possible outcome of an event.

How can we determine the probability in this question?

based on given data, we calculated the number of customers who has taken snack A before may want to take snack B. The customers have not taken snack A yet may want to snack A.

hence, probability to take snack B = 144/320

probability to take A =108/252

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a) The probability a person who has eaten snack A before is 59/143.

b) The probability a person who has eaten snack A before is 84/143

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Given that the total number of people that are taken for the event is 572.

The number of people who have eaten snack A before is 236.

The number of people who have not eaten snack A before is 336.

Probability = The number of outcomes of favorable event/ Total number of outcomes

The probability getting a person who has eaten snack A before is

= 236/ 572

= 59/143 [Divide denominator and numerator by 4]

The probability getting a person who has not eaten snack A before is

= 336/ 572

= 84/143 [Divide denominator and numerator by 4]

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What is the slope of the line shown below?

Answers

Answer: -3/2

yeah use rise over run

Answer:

-2/3

Step-by-step explanation:

slope = rise/run

First find the y-intercept (point of crossing on the y-axis (the vertical one)), then find the next point that intercepts a box PERFECTLY, this next point is (4, -2)

Looking at the y-intercept's coordinates (0,1), count how many blocks down it takes to get to to 4 (2 blocks which is the RISE) and now count how many blocks to the right it takes to get to -2 (3 blocks)

Therefore it is 2/3 but it is also negative because it is going DOWN from left to right which is a negative decine

Pls help with this and explain why it is wrong

Answers

The simplified form in base 3 for ln(3) + ln(9) is 3ln(3)

What is logarithm?

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if b^x = n, in which case one writes x = logb n.

In(9) can be written as ln3^2

which according law of logarithm is 2ln(3)

Expression becomes

ln(3) + 2ln(3) which is 3ln(3)

In conclusion, the simplified form of the expression in base 3 is 3ln(3)

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t a student government fundraiser, a notebook costs $7 and a t-shirt costs $12. If the total received for 60 items was $540, how many notebooks were sold?

Answers

The number of notebook is 36.

How to illustrate the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the notebook be n.

Let the t shirt be t.

The equation will be:

n + t = 60 ..... i

7n + 12t = 540 ..... ii

From I n = 60 - t ..... iii

Put equation III into ii

7n + + 12t = 540 .

7(60 - t) + 12t = 540

420 - 7t + 12t = 540

5t = 540 - 420

5t = 120

Divide

t = 120 / 5

t = 24

Notebook will be:

= 60 - 24

= 36

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Question #8
Cameron read that his favorite NBA team won their game last night by a score of 142 to 124.
Which is true about the digit 2 in each number?

Answers

The true statement is that 2 in 142 represents a greater value than 2 in 124 because 142 > 124.

How to identify the place value of a digit in a number?

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol. The place values on the left ofthe decimal point start as ones, tens, hundreds, and so on.

The place value on the right of the decimal point starts from a point and goes to right as tenths, hundredths, and so on.

We are given that encore or points for an NBA Team are usually as whole numbers.

For example, 1, 2, 3, 4, e.t.c. points of an NBA Team are not in decimals or fractions.

The withiner of points awarded for an NBA match is called Discrete because that can be counted with a given amount of time.

Hence, 2 in 142 represents a greater value than 2 in 124 because 142 > 124.

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find the total surface area of this triangular prism

Answers

The total surface area of this triangular prism = 976

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

A triangle would be divided in half, but since there are two, the ratio would remain the same.

14 x 24 = 336

10 x 25 = 250[ because there are two of them, multiply by 2.]

10 x 14 = 140

The total surface area of this triangular prism = 336 + 250 + 140

= 976

Therefore, the total surface area of this triangular prism = 976

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Use four of the eight image tiles below to graph the solution to this inequality on the number line. Be sure to cover the entire number line.

Answers

To represent an inequality on a number line, such as x>3, first draw a circle around the number. Fill in the circle if the sign also says equal to (or ).

How do you graph an inequality's solution on a number line?To represent an inequality on a number line, such as x>3, first draw a circle around the number.Fill in the circle if the sign also says equal to (or ).Leave the circle blank if the sign doesn't include equal to (> or ).Equation notation, set notation, interval notation, and solution graph are the four ways to display an inequality.Always begin by separating the variable y from the inequality's left side.Step 2: Replace the inequality symbol with the equality symbol.Step 3: In the X, Y, XY, XY plane, graph the boundary line from step 2.The final step is to shade a portion or one side of the boundary line.

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p+ 1.4 ≤ 0.5; p = 0.1

Answers

The inequality expression p + 1.4 ≤ 0.5 is false for p = 0.1

How to determine if the expression is true

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

p + 1.4 ≤ 0.5;

p = 0.1

Substitute p = 0.1 in p+ 1.4 ≤ 0.5;

So, we have the following representation

0.1 + 1.4 ≤ 0.5;

Evaluate the like terms

This gives

1.5 ≤ 0.5;

The above inequality is false

This is because 1.5 is greater than 0.5

Hence, p + 1.4 ≤ 0.5; p = 0.1 is false

Answers

Answer: A woman has 8 skirts, 5 blouses, and 5 pairs of shoes. This means that she has a total of 8 * 5 * 5 = <<855=200>>200 different skirt-blouse-shoe outfits that she can wear.

Step-by-step explanation: To find the number of different skirt-blouse-shoe outfits that a woman can wear, we need to find the total number of combinations of skirts, blouses, and shoes that she has. To do this, we simply multiply the number of skirts that she has by the number of blouses that she has by the number of pairs of shoes that she has. In this case, the woman has 8 skirts, 5 blouses, and 5 pairs of shoes, so the total number of combinations is 8 * 5 * 5 = 200. This means that she can wear 200 different skirt-blouse-shoe outfits.

10+((6-4)*4) equal what

Answers

Answer:

Step-by-step explanation:

6-4=2

2x4=8

10+8=18

Round to the nearest degree

Answers

The measure of angle A of the triangle is 50°.

How to find angles of the triangle?

Eight angles are created when a transversal intersects two parallel lines. The pair of non-adjacent interior angles that are on the same side of the transversal are known as the same side internal angles.Two angles that are inside (between) the two lines, more especially on the same side of the transversal, are referred to as same side inside angles.

Similar side interior angles therefore:

have unique vertices or no shared verticesstraddle two lineswas developed on the same transverse side of theCo-interior angles are another name for "same side interior angles."

So, ∠C = ∠A

∠A = 50°

Hence, the measure of angle A of the triangle is 50°.

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(8x + 6) - (x + 4).

Answers

8x+6-x-4

Collect like term

Solution

7x+2

Parking Spaces múltipl

Answers

Answer: 7584 Parking Spaces

Explanation:
158 rows x 48 Cars = 7584 parking spaces

help meeeeeeeeeee pleaseee

Answers

The number of acres owned for which the average intake is 2200 calories per day is 2 acres obtained by the algebraic expression that relates the acres of land and the calories per day.

What is an algebraic expression?An algebraic expression is formed by variables, constants, and arithmetic operations.An algebraic expression provides the relation between the input and output variables i.e., x and f(x) respectively.Calculation:

It is given that, the number of calories consumed daily by a person owing x acres of land is given by the algebraic expression,

C(x) = 270 ln(x+1) + 1900

The average intake of calories consumed per day is given by C(x) = 2200

Here x is the number of acres of land. Then, the required number of acres of land is

C(x) = 270 ln(x+1) + 1900

⇒ 2200 = 270 ln(x+1) + 1900

⇒ 270 ln(x+1) = 2200 - 1900

⇒ 270 ln(x+1) = 300

⇒ ln(x+1) = 300/270 = 10/9

Applying base 'e' on both sides, we get

⇒ (x+1) = [tex]e^\frac{10}{9}[/tex]

⇒ x+1 = 3.0377

⇒ x = 3.0377 - 1 = 2.0377

When rounding the final answer to the nearest tenths, we get x = 2 acres.

When rounding the final answer to the nearest thousand, we get x = 2.038 acres.

Thus, for an average intake of 2200 calories per day, the number of acres of land owned is approximately 2 acres.

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Bruno recorded 2/12 of his new album in
August, 1/3 of his new album in July, and the
rest in June.
What fraction of the album did he record in June?

Answers

The fraction of the album he recorded in June is 1/2

How to determine this?

When all the fractions of the album will be = 1

Bruno recorded 2/12 was recorded in August

2/12 to the lowest term = 1/6

And 1/3 was recorded in July

So,

The fraction of the rest of the album in June is unknown

Let fraction recorded in June will be = x

x = 1 - 1/6 - 1/3

x = 1/1 - 1/6 - 1/3

x = [tex]\frac{18 - 3 - 6}{18}[/tex]

x = [tex]\frac{9}{18}[/tex]

x = [tex]\frac{1}{2}[/tex] to lowest term

Therefore, he recorded 1/2 of his Album in June

Answers

C. x + 3y = 27 lines are perpendicular to 3x – y = 10

What is the lines?

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. In a two-dimensional plane, it is specified by two points. The term "collinear points" refers to two points that are on the same line.

As we know,

When two lines are perpendicular then the product of their slope is -1.

The slope is given by: y = mx+c

where, m is the slope.

Thus, the given equation:

3x – y = 10

y = 3x - 10

Comparing this equation with y = mx+c, we get

m₁ = 3

So, the slope of the given equation (m₁) = 3

Now find slope of others lines:

A) y = 3x + 5, Comparing this equation with y = mx+c, we get -

m₂ = 3

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₂

= 3×3 (putting the values we get)

= 9 ≠ -1

So, this line is not perpendicular to given line.

B) y = –13x + 17, Comparing this equation with y = mx+c, we get -

m₃ = -13

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₃

= 3× (-13) (putting the values we get)

= -39 ≠ -1

So, this line is not perpendicular to given line.

C) x + 3y = 27

3y = 27 - x

y = 9 - x/3, Comparing this equation with y = mx+c, we get -

m₄ = -1/3

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₄

= 3× (-1/3) (putting the values we get)

= - 1

So, this line is perpendicular to given line.

D) y – 2 = 13(3x + 36)

y = 39x +470, Comparing this equation with y = mx+c, we get -

So, m₅ = 39

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₅

= 3× (39) (putting the values we get)

= 117 ≠ -1

So, this line is not perpendicular to given line.

Therefore, option C is correct.

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bowl o rama charges 2.50 a game plus 2 for shoe rental, and bowling pinz charges 2 a game plus 4 for shoe rental. how many games must be played for the cost to be the same at both places? Define variables and solve the system of equations

Answers

The number of games that must be played for the cost to be the same at both places is 4.

How to solve system of equations?

Bowl o rama charges 2.50 a game plus 2 for shoe rental, and bowling pinz charges 2 a game plus 4 for shoe rental.

The number of games that must be played for the cost to be the same at both places is as follows:

Using system of equation,

let

x = number of games

Hence,

2.50x + 2 = 2x + 4

2.50x - 2x = 4 - 2

0.5x = 2

divide both sides by 0.5

x = 2 / 0.5

x = 4

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Determine the degree measure of one angle of a 45-sided regular polygon.

8,100°
7,740°
172°
180°

Answers

The measure of one interior angle of the 45-sided polygon is (c) 172 degrees

How to determine the measure of one interior angle?

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

Shape = 45-sided polygon

Parameter to calculate = the measure of one interior angle

The sum of the interior angles is calculated using the following angle formula

The sum of the interior angles = ( n − 2 ) × 180 ∘ where is the number of sides

In this case

n = 45

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

The sum of the interior angles = (45 − 2) × 180∘

Evaluate

The sum of the interior angles = 7740∘

So, the internal angle is

Angle = 7740/45

Evaluate

Angle = 172

Hence, the angle is (c) 172 degrees

Answers

The amounts of each type of coin that they have is given as follows:

Quarters: 44.Nickels: 39.

How to obtain the amounts?

The amounts of each type of coin are obtained using a system of equations, in which the variables are given as follows:

Variable x: amount of quarters.Variable y: amount of nickels.

Kevin and Randy Muise have a jar containing 83 coins, hence:

x + y = 83.

The value of a nickel is of $0.05, while the value of a quarter is of $0.25. The total value of the coins in the jar is $12.95, hence:

0.25x + 0.05y = 12.95.

From the first equation, we have that:

y = 83 - x.

Replacing on the second equation, the amount of quarters is given as follows:

0.25x + 0.05(83 - x) = 12.95

0.2x = 8.8

x = 8.8/0.2

x = 44.

Then the amount of nickels is given as follows:

y = 83 - x = 83 - 44 = 39.

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Multiply. Write the answer in simplest form.
4 2/3 x 9/10

Answers

Answer:

[tex] 4\frac{1}{5} [/tex]

Step-by-step explanation:

[tex] 4\frac{2}{3} \times \frac{9}{10} [/tex]

[tex] \frac{14}{3} \times \frac{9}{10} [/tex]

[tex] \frac{126}{30} [/tex]

[tex] \frac{21}{5} [/tex]

How much must you deposit now in order to have $25,000 in 4 years in an account getting 5% interest compounded daily

Answers

There are $20468.55 must you deposit now in order to have $25,000 in 4 years in an account getting 5% interest compounded daily.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given:

A = Final amount = $25000

P = Initial principle balance

r = interest rate = 5% = 0.05

t = Number of time of years

n = number of times interest applied per time period = 365

Since, the formula for compound interest,

[tex]A = P(1+\frac{r}{n})^n^t[/tex]

Plug the values of A, r, n and t in the above formula

[tex]25000 = P(1 + \frac{0.05}{365})^3^6^5^*^4 \\25000 = P(1.0001369863)^1^4^6^0\\25000 = P(1.2213860258)\\P = 20,468.549231702[/tex]

P ≈ 20,468.55

Hence, there are $20468.55 must you deposit now in order to have $25,000 in 4 years in an account getting 5% interest compounded daily.

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Stock in a certain company sold for $2.50 per share in June. The price of the stock increased $4.75 after one month. It then decreased $1.25 and $2.45 over the next two months. What was the price of the stock after these changes?
Responses

Answers

Answer: $3.55

Step-by-step explanation:

Started at 2.50 increased 4.75 which means the stock is 7.25 then decreased 1.25 making it 6 then another decrease of 2.45 making it $3.55

Help Which number line shows the solution set to this inequality?
-20 + 9

Answers

Answer:

Step-by-step explanation:

-2x + 9 < x - 9

-2x - x < -9 - 9

-3x < -18

x > -18/-3

x > 6

The probability of rain on Monday is .1. The probability of rain on Tuesday is .8. What is the probability of rain on both Monday and Tuesday?

Answers

Answer:

The probability of rain on both Monday and Tuesday is .08, or approximately 8%.

Step-by-step explanation:

The probability of an event occurring on two separate days (such as rain on Monday and Tuesday) is calculated by multiplying the probabilities of the two events occurring separately. In this case, the probability of rain on both Monday and Tuesday is given by:

Probability of rain on Monday * Probability of rain on Tuesday = .1 * .8 = .08

Therefore, the probability of rain on both Monday and Tuesday is .08, or approximately 8%.

It's important to note that this probability assumes that the likelihood of rain on each day is independent of the other day. In other words, the probability of rain on Tuesday does not depend on whether or not it rained on Monday. If this is not the case, the probability of rain on both days may be different.

- Roll a die twice and consider the events A = {first roll gives at
least 4}, B = {second roll gives at most 4} and C = {the sum of the
rolls is 10}.
(a) Find P(A), P(B),P(C), and P(A ∩ B ∩ C).
(b) Are A, B, and C independent?

Answers

Part a: P(A) = 1/2; P(B) = 2/3; P(C) = 1/12; P(A ∩ B ∩ C) = 1/36.

Part b: Part b: A, B, and C independent events.

What is meant by the term sample space?All potential results make up the sample space of the a random experiment. A subset of a sample space is an event connected to a random experiment. Any outcome's probability is a value between 0 and 1. The sum of all the outcomes' probabilities is one.

Rolling a dice twice has 36 possible results, hence the following is the sample space:

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

For the stated question-

A = {first roll gives at least 4}, B = {second roll gives at most 4} and C = {the sum of the rolls is 10}.

Part a: P(A), P(B),P(C), and P(A ∩ B ∩ C).

P(A) = 18/36 = 1/2

P(B) = 24/36 = 2/3

P(C) = 3/36 = 1/12

P(A ∩ B ∩ C) = 1/36

Part b: A, B, and C independent or not.

For the events to be independent,

P(A ∩ B ∩ C) = P(A).P(B).P(C)

P(A).P(B).P(C) = 1/2*2/3*1/12 = 1/36

As, P(A ∩ B ∩ C) = P(A).P(B).P(C).

Thus, the events are independent.

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What is the slope-intercept equation for the linear function represented by the
table?
X
y
O Ay=-¹2-2
OB. y = 2x --2
OC. y =
-2
OD. y = 2x+4
0
-2
2
-1
4
0
6 8
1
2

Answers

The linear equation represented in the table is:

y = (1/2)*x - 2

What is the equation of the line in the table?

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line goes through two points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can use the first two points on the table (0, -2) and (2, -1), so we will get:

a = (-1 + 2)/(2 - 0) = 1/2

And because of the point (0, -2) we know that the y-intercept is -2, so we can write:

y = (1/2)*x - 2

The correct option is C.

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"x/3" is division

x/3 - 4 = -6

what does x equal?

Answers

Answer:

x = -6

Step-by-step explanation:

-6/3-4= -6

Find tanθ + sinθ for the angle θ shown in the right triangle?

Answers

12.6

Step-by-step explanation:

We need to find the hypotenuse

hyp² = opp² + adj²

hyp²= 2² + 3²

hyp²= 4 + 9

hyp²= 13

hyp=√13

hyp=3.6

sinθ=opp/hyp

sinθ=2/3.6

sinθ=5.6

cosθ=adj/hyp

cosθ=3/3.6

cosθ= 0.8

tan θ=sinθ/cosθ

tanθ= 5.6/0.8

tanθ=7

tan θ+sinθ

=7+5.6

=12.6

3. Un barco de exploración de aguas profundas está sacando a un buzo a
razón de 25 pies por
minuto. El buzo está a 200 pies bajo el nivel del mar. ¿Qué tan profundo
estaba el buzo
hace 10 minutos?

Answers

The diver was 450 feet deep in the water 10 minutes ago.

How deep was the diver 10 minutes ago?

Let our D be the depth of the diver 10 minutes ago.

Since diver is pulled out at 25 ft/minute, the depth formula can be written as:

[tex]D - 25t = 200[/tex] where t is the time in minutes.

Substituting t = 10, we have:

[tex]D - 25(10) = 200\\D - 250 = 200\\D = 200 + 250\\D = 450 feet.[/tex]

Translated question "A deep-sea exploration vessel is pulling a diver out to rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?"