Find the equation of the line that passes through (1,3) and is perpendicular to y = 2x + 3.
Leave your answer in the form ax + by = c Where a, b and c are integers.

Answer:9

Step-by-step explanation:

9

Answer:

x = -7

Step-by-step explanation:

2(x-4) = -22

2*x + 2*-4 = -22

2x - 8 = -22

2x = -22 + 8

2x = -14

x = -14/2

x = -7

Check:

2(-7-4) = -22

2*-11 = -22

1. 1.371742E−3

2. 256 .

What is an Exponent?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 2³) means: 2 x 2 x 2 = 8.

It is written as a small number to the right and above the base number.

Here in the question we find out (9)∧-3 and (4)∧4

1.  (9)∧-3 =x∧n=9−1

x∧n=9-³

=1/9³

=1/9×9×9

=1/729

=0.0013717421124829

=1.371742E−3

2. (4)∧4 =x∧n=4∧4

=4×4×4×4

=256

The meaning of exponent is a symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power.

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Answer:

1. 15.17ft          2. 18.57ft           3. 22.41%

Step-by-step explanation:

1. What was the length of one side of the garage originally?

Area of a square = s × s which is also equal to s²

s means one side of the square, as it is a square, all sides are equal.

so

230 = s²

s = √230 = 15.17

2. What is the length of one side of the garage now?

The original area of the garage was 230ft²

But now, the area has increased by 50%

Increased Area = 230 × 50% = 115ft²

Total Area = 230 + 115 = 345ft²

In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.

Area = s²

345 = s²

s = √345 = 18.57

3. What was the percentage increase of the length of one side?

   Length : Percentage

     15.17   :      100

    18.57   :         x

When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.

Now cross multiply

18.57 × 100 = 15.17x

1857 = 15.17x

1857/15.17 = x

x = 122. 41

The new percentage is 122.41%

The difference between both percentages is:

122.41 - 100 = 22.41

And 22.41 is the percentage increase.

Answer:

it would be A since the plus sign is canceled by the minus sign for the equation.

Answer:

102

Step-by-step explanation:

<QRT and <VTU are alternate exterior angles, so they are congruent.

m<QRT = m<VTU

x + 40 = 2x -22

62 = x

m<QRT = x + 40 = 62 + 40 = 102

m<VTU = 2x - 22 = 62*2 - 22 = 124 - 22 = 102

1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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Answer:

(5² - 8) x 2 doesn't belong

Step-by-step explanation:

this is because this answer is the only one with parintisies around the 5²

You cannot find f * g because the functions have different domains

The functions are given as:

f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}

g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}

In the above function definitions. we have

Domain of f(x): -1, 1, 3, 6, 7

Domain of g(x): 0, 2, 4, 8

See that both functions have different domains

This means that you cannot find f * g because the functions have different domains

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Answer:the answer is 8n hope that helps!

Step-by-step explanation:

seven-hundred thirty thousand eight-hundred twelve

Answer:

Step-by-step explanation:

the amount of garbage started to increase around 2005 or 2007

Just plot a point anywhere they graph is straight

The cost of 18 Apples at the same rate is $2.25

cost for 8 apples = $1.00

cost of 1 apple = 1.00/8

$0.125 for one apple

cost of 18 apples = 18*0.125 =$ 2.2 5

Here in the given sum we have used simple unitary method concept like in the 1st line we noted the cost of 8 apples that is given in  the question that is equall to $1.00. In the next step we found the cost of 1 apple simply by dividing 1.00/8 that amouted to $0.125. In the last stage we have calculated the  amount for 18 apples that amouted to $2.25 . We have simply multiplied 18 apples with the cost of 1 apple that is $0.125 which amouted to $2.25

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Answer:

Domain: [-4,2]

Range: [-3,3]

Step-by-step explanation:

A = -4

B = 2

C = -3

D = 3

The irreversible loss of an island from over 100 acres in size to less than 3 acres is an example of the irreversible nature of human change.

Human activity has lead to the change of Earth's climate in unimaginable ways over the last thousand years. Some of these changes are so significant that they are practically inevitable and irreversible.

Due to global warming, the planet's temperature is increasing gradually every year. This change in climate causes polar ice caps to melt and increases the water level.

Islands, which are pieces of land in between water bodies, are reducing in size due to this. The increased water level submerges some or all parts of an island. This is especially threatening for small islands.

This is not only dangerous for the human and wildlife population of these islands, but also for the general habitability. Due to frequent flooding, soil salinity increases and this makes it difficult to cultivate these islands.

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Answer:

b decreasing its korrect now

Answer:

They can make 720 quarts in 36 hours.

Step-by-step explanation:

First we set up a ratio of 100 quarts:5 hours since that is a given ratio. Since hours was in the denominator of the ratio before, we place the 36 in the denominator of the other ratio, x quarts: 36 hours.

Setting them equal gives the following proportion:

100/5=x/36

Cross multiply to solve:

5x=3600

x=720

Answer:

720

Step-by-step explanation:

100 divided by 5 =20 and 20 times 36 is 720 hope this helped

Definition of Relation:

Let A and B be sets. A relation R from A to B is a subset of Ax B

Definition of Function:

A function f from a set A (domain) to a set B (codomain) is a relation that satisfies the following properties:

1) Every element in A there is an element y in B such that (x,y) F

2) For all elements z in A there exist a unique element y in B.

The cartesian product of the sets A (a, b) and B (r,y) is

A x B {(a,z) (a,y).(b,),(b,s)}

Step 2

1. T ((a,x), (a,y))

Since T-((a,z), (a,y)) is a subset of (a, b) x (x,y).

so T is a relation from (a,b) to (x,y).

But for the element a in domain, there exist two different images x and y in co-domain.

This violates the definition of function.

Therefore, T_{1} = \{(a, x), (a, y)\} is a relation but not a function.

Step 3

2. T_{2} = \{(b, x), (b, y)\}

Since T_{2} - \{(b, x), (b, y)\} is a subset of \{a, b\}\{x, y\} .

so T_{1} is a relation from \{a, b\} to \{x, y\}

But for the element b in domain, there exist two different images x and y in co-domain

This violates the definition of function

Therefore, T_{2} = \{(b, x), (b, y)\} is a relation but not a function.

Step 4

,T 1 =\ (a,z)\

Since 7-((a,z)) is a subset of \{a, b\}\{x, y\}

so Ty is a relation from \{a, b\} * to (x,y\

But the element & in domain does not map with any element in co-domain

This violates the definition of function

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False, because The singles answer fits the description. All potential solutions are included in the solution set.

What makes up a linear system's solution set?

Is it true that a linear system's existence and uniqueness are two key issues? False or true?

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Answer:

D

Step-by-step explanation:

Solve for X:

3x-8≥7

3x≥15

x≥5

Any value of x is greater than or equal to 5

This is represented by answer D

Answer:

(b*.18)

Step-by-step explanation:

In terms of tips, 18% of $1.00 is $0.18. So for every dollar in the total (b) we can assume that it is going to be 18% of the overall total. 18% is 18/100 or .18, so we know the tip will be .18 of b (b*.18).

Answer:

7 major of system units defination and function

In linear equation, y ≥ x + 12/3 is simple version .

What in mathematics is a linear equation?

y ≥ 1/3 x + 4

y ≥ x/3 + 4

y ≥ x + 12/3

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The integer solutions of each of the system of inequalities are 0, 1, 2, 3, .....65, 66, 67, 68. There are total 69 integer values that y can take.

In the question, we are given the inequalities:-

y ≥ 0 and 72 - y  ≥ 4

We have to find the integer solutions of each of the system of inequalities.

From 72 - y  ≥ 4, we can write,

72-4 ≥ y

68 ≥ y

Hence, from 68 ≥ y and y ≥ 0, we can write,

68 ≥ y ≥ 0

Hence, y can take 69 integer values from 0 to 68, both included.

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Step-by-step explanation:

so, 80 L can get out of the tank every minute.

how long for 4800 L ?

that simply means "how many minutes for 4800 L ?"

and this we get by dividing 4800 by 80 (to see how often 80 fits into 4800) :

4800 / 80 = 60 minutes

so, it takes 60 minutes or 1 hour to discharge 4800 L.

Answer:

5.0 × 1012 kg-4. I'm pretty sure this is the answer

Answer:

2.41

Step-by-step explanation:

We needed split up 30 into 2 factors where one of them had to be the same number on the bottom. Since 6 is on the bottom we need to find a number that multiples with 6 to get to 30 and 30/6 gives us 5. So then we can split up 30g into 5g *6g and with the exponents of course. Now since 5g and 6g are multiplying, we can just take 5g out of the equation. If they were adding or subtracting we couldn't.So that gives us 5g^5 * (6g^5/6g^9). According to exponent laws or whatever they're called, if 2 numbers have the same base and have exponents, we can add or subtract the exponents if they are being multiplied or divided by each other. Therefore our final answer is 2.41.

Answer:

Starting from the left, the points plotted are:

-√9, -1.75, -3/2, -5/3, √4

Answer:

G = (-1,4)

I drew it and work it out tho