Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?

Answer:

(-4, 3)

Step-by-step explanation:

From the graph, it looks like the two lines intersect at pint (-4, 3).

The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.

A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.

Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.

Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.

Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:

\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)

Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.

Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.

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a. The chart is prepared below.

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.

The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.

The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.

Here are the steps for calculating the balance for each year:

Year 1:

Beginning balance = $2,500.00

Interest for the year = $2,500.00 x 0.032 = $80.00

Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00

Year 2:

Beginning balance = $2,280.00

Interest for the year = $2,280.00 x 0.032 = $72.96

Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96

Year 3:

Beginning balance = $2,052.96

Interest for the year = $2,052.96 x 0.032 = $65.76

Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72

Year 4:

Beginning balance = $1,818.72

Interest for the year = $1,818.72 x 0.032 = $58.20

Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92

Here's a table that shows the details:

Year ,principal ,Interest rate, interest, Payment ,annual owing

1 $2,500.00 $80.00 $300.00              $2,280.00

2 $2,280.00 $72.96 $300.00              $2,052.96

3 $2,052.96 $65.76 $300.00               $1,818.72

4 $1,818.72         $58.20  $300.00       $1,576.92

b. At the end of 4 years, Ross still owes his parents $1,576.92.

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The probability of choosing a red marble is 1/2.

Given that, a bag with 6 marbles has 3 red marbles 1 yellow marble and 2 blue marbles.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here, the total number of outcomes =6

The number of favorable outcomes =3

Probability of an event = 3/6

= 1/2

Therefore, the probability of choosing a red marble is 1/2.

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Answer:

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Answer: I Hope some one helps you out

Step-by-step explanation:Y

1 gram of medicine costs 86 nairas, while a 42-hour workweek results in a salary of 27,090 nairas.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, 12.5g of medicine cost 1,075 nairas.

Since,

Cost of 12.5g medicine = 1075

Cost of 1 g medicine = 1075/12.5

Cost of 1 g medicine = 86 naira

Also given, Someone gets 645 nairas for one hour of work

the total pay for someone who works 42 hours = 645 * 42

the total pay for someone who works 42 hours =  27,090 nairas

therefore, the Cost of 1g of medicine is 86 nairas and the total pay for someone who works 42 hours is 27,090 nairas.

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We have to calculate the length of the rail.

We can imagine the rail as forming a right triangle as:

Then, we can use the Pythagorean theorem to find the length of the rail (x):

Answer: the length is approximately 9.4 feet.

Answer:

When using desmos I got y=x^{2}-4x+3 (the 2 is an exponent btw) I inserted a picture. I hope this helped

Step-by-step explanation:

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

20r + 310

Step-by-step explanation

For the first part.

The required expression is 20x + 310 which represents the area of the park as the sum of the areas of the sports field and the playground.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Let x represent the length in meters of the sports field.

Here, the area of the sports field = 20 × x = 20x units

And, the area of the playground = 15.5 × 20 = 310 units

Now, the required expression to represent the area of the park will be :

⇒ area of the sports field + area of the playground

⇒ 20x + 310

Thus, the required expression is 20x + 310.

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Yawaaaaaaa HAHAHAHAHAHAHA

C ang anser ana hahahahahaha

Answer:

30 +? = 180 is the formula

Step-by-step explanation:

so c is 150

and if you add 150 to 30 you get 180

Answer: 0.1389

step-by-step explantion:

Answer:

Step-by-step explanation:

Use long multiplication to evaluate.

576

Answer:

Your question doesn´t make sense. What are you asking

Step-by-step explanation:

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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The Julián has 0.84 euros left after making these purchases.

Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.

Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.

Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.

And since he spent 25% of his total savings on skates, we can set up an equation as follows:

0.25(x) = 3/5where x is his total savings.

Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.

Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:

Total savings - School trip - Skates

= Money left2.4 - (2/5)(2.4) - 0.6

= Money left2.4 - 0.96 - 0.6

= Money left0.84 euros

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Maurice has a pot that is 3/4 full of chicken stock. He then pours 2/3 of the stock into an identical pot to make soup. Therefore, how full is Mario's soup pot after he pours in the stock? So, the correct answer is  1/2.

Maurice's soup pot has 1/4 of the chicken stock remaining after pouring 2/3 of the stock into another identical pot. That means Mario's soup pot is filled with 2/3 of the initial amount of the chicken stock or 2/3 x 3/4 = 6/12 Or 1/2 is equivalent in fractions to 6/12. The soup pot is half full, so that's your answer. Hence, the answer is 1/2.

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The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

QRS = 90 degrees

Step-by-step explanation:

θ lies in quadrant III, which means

π < θ < 3π/2   ⇒   π/2 < θ/2 < 3π/4

which is to say that θ/2 lies in quadrant II. For quadrant III, we have sin(θ) < 0 and cos(θ) < 0. For quadrant II, we have sin(θ/2) > 0 and cos(θ/2) < 0.

Recall the half-angle identity for sine:

sin²(θ/2) = (1 - cos(θ))/2

Then in this case,

sin(θ/2) = - √((1 - cos(θ))/2)

Also recall the Pythagorean identity,

1 + tan²(θ) = sec²(θ)

It follows that

sec(θ) = - √(1 + tan²(θ)) = -√73/3

⇒   cos(θ) = -3/√73

⇒   sin(θ/2) = - √((1 + 3/√73)/2) = √(1/2 + 3/(2√73))

Answer:980,507

Step-by-step explanation:

Answer:

980,507

Step-by-step explanation:

hope this helps :)

Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

Answer:

$60.30

Step-by-step explanation:

$100.50 x 1.20 = $120.60

$120.60 divided by 2 = $60.30

Step-by-step explanation:

Remember the y = mx + b form! M is the slope while b is the y-intercept. So it is already given from the problem that m is 1/3 so:

y = 1/3x + b

Plug the -3 in for x and -6 in for y. What value does b have to be then?

-6 = 1/3(-3) + b

-6 = -1 + b

b = -5

b has to be -5! So the equation for all points is:

y = 1/3x - 5

Answer:

90

Step-by-step explanation:

There are 15 packa of 6 cards in each pack. You could either do it the long way and count it out on paper or just times 15x6 and it equals 90.

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer: D

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

4x + 2x = 180

6x = 180  

x = 30

The equation of the plane  passing through point P with normal vector n A(x-2) + B(y-3) + C(z-4) = 0

(a) Normal Form:

The equation of the plane passing through point P with normal vector n can be written in normal form as:

n • (r - p) = 0

where r is a position vector in three-dimensional space and n is the normal vector of the plane.

Given n = (1,2,3) and p = (2,3,4).

Therefore, n • (r - p) = (1,2,3) • (r - (2,3,4)) = r1 + 2r2 + 3r3 -2 - 3 - 4 = 0

=> r1 + 2r2 + 3r3 - 8 = 0

=> Plane equation in normal form: 1x + 2y + 3z - 8 = 0

(b) General Form:

The equation of the plane passing through point P with normal vector n can also be written in general form as:

A(x-x0) + B(y-y0) + C(z-z0) = 0

where A, B and C are the components of the normal vector n and (x0,y0,z0) are the coordinates of the point p.

Given n = (1,2,3) and p = (2,3,4).

Therefore, A(x-2) + B(y-3) + C(z-4) = 0

=> 1(x-2) + 2(y-3) + 3(z-4) = 0

=> Plane equation in general form: x - 2y + 3z - 8 = 0

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Provide complete question here:Write the equation of the plane passing through p with normal vector n in (a) normal form and (b) general form.