One of your friends wants to buy a pair of binoculars to look at the birds and animals, however she cannot afford the R4999 at once. She pays a deposit of R999 and the rest over 3 years using simple interest.

What is the name given to this type of transaction?

The slower boat traveled at 15mph, and the faster boat traveled at 35mph.

Represent the speed of the slower boat with x.

So, the speed of the faster boat would be x + 20mph.

The time they took to meet is 8 hours, so the total distance they covered during that time is represented as

Distance = x * 8 + (x + 20) * 8

So, we have

Distance = 16x + 160

The distance between the two boats was 400 miles at midnight

So, we have the following distance equation

400 = 16x + 160

Evaluate the like terms

16x = 240

Divide by 16

x = 15

Recall that

Faster boat = x + 20mph.

So, we have

Faster boat = 15 + 20

Faster boat = 35

Hence, the slower boat was traveling at 15mph

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Answer: Tasha

Step-by-step explanation:

9/10 = .900 avg

12/15 = .800 avg

If you standardize the ratios to 30, then:

27/30 = .900 avg

24/30 = .800 avg

The value of the rationalization is 5√2

Surds are described as the nth root of a number, say x and a  number r which, when raised to the power n

Given that;

n is a positive integer or  the degree of the root.

It is also seen as an expression that includes a square root, a cube root or other roots.

They are used to write irrational numbers only.

Given the surds;

10/√2 × √2/ √2

Multiply the values

10√2/2

Divide the values

5√2

Hence, the value is 5√2

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When considering buying a stock then the best time frame to use to analyze the price history depends on your investment goals but on average, 1 year to 5 years.

The time frame for analyzing a stock's price history depends on the investment horizon and the goals of the investor. If you are a short-term trader who seeks to make quick profits, you might use a 1-day or 5-day time frame to analyze the stock's price movements.

Medium-term investor with a horizon of a few months to a year, should use a 1-month or 3-month time frame. For long-term investors with a horizon of several years, use a 1-year or even longer time frame, such as 5 years or 10 years.

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Solving a linear equation we will see that the measures of the angles are:

∠1 = = 6°

∠2  = 84°

We can see that we have a right angle (this is a 90° angle) and it is divided in the angles ∠1 and ∠2.

Then we can write:

∠1 + ∠2 = 90°

And we know that:

∠1 = x - 8

∠2 =  6x

Then we can write the linear equation:

x - 8 + 6x = 90

We can solve that for x toget:

x - 8 + 6x = 90

7x = 90 + 8

x = 98/7 = 14

Then the measures of the angles are:

∠1 = x - 8 = 14 - 8 = 6°

∠2 =  6x = 6*14 = 84°

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The probability of two friends meeting at the station 0.28.

To calculate the probability of the two friends meeting at the station, we need to find the overlap in their arrival times, which is between 7:00 and 7:05 in the morning. This overlap represents the time window where they both arrive at the station and can meet. Given that they both arrive between 7:00 and 7:20 in the morning with a uniform distribution, the probability of one of them arriving in the overlap time window is 5/20.

Thus, the probability of both friends arriving in this time window and meeting at the station is the product of these probabilities, which is (5/20) * (5/20) = 0.28.

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Suppose that 90% of  batteries that are supplied from the certain supplier have acceptable voltages, probability that among all the batteries supplied least nine will work is 26 and 0.3076 .

M: Math

P: Physics

S: Statistic

n(Math) = 24

n(Physics) = 29

Formula:

Putting the values, we get,

Thus, 26 students took statistic.

Probability is basically  based on the possible chances or the chances of happening of something. The theoretical probability is a type of probability that is  mainly based on the reason behind that probability. For example, if a coin is tossed, the theoretical probability or the outcome of getting a head will be ½.

Probability is the branch of mathematics that basically concern about  the occurrence of a random event or the chances of favorable outcome and  there are mainly four  types of probability exist: classical, empirical, subjective and axiomatic.

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Step-by-step explanation:

Given

Opp=8

Adj=6

Hyp=10

Answer

1)Sin<A=Opp/Hyp

8/10=4/5... Yes

2)Cos<A=Opp/Adj

8/6=4/3... No

Given

Opp=6

Adj= 8

Hyp= 10

Answer

1)Sin<B= Opp/Hyp

6/10=3/5... No

2)Cos<B= Opp/Adj

6/8=3/4... No

The solution of the system of linear equation is x = 5 and y = 3.

A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."

The given system of linear equations is:

3x-2y=9......(1)

y=2x-7........(2)

Substituting the value of y in equation 1 we have:

3x-2y=9

3x - 2(2x - 7) = 9

3x- 4x + 14 = 9

-x = -5

x = 5

Substitute the value of x in equation 2:

y = 2(5) - 7

y = 10 - 7

y = 3

Hence, the solution of the system of linear equation is x = 5 and y = 3.

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Answer:

$2.81

Step-by-step explanation:

The troop leader can use the two variables of preference (hiking or swimming) as the row and column headings of the table.

In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.

The troop leader can utilize the two variable categories (hiking or swimming) as the table's row and column headings.

The number of members who prefer each activity can be recorded in the cells of the table to show the distribution of preferences within each troop and the comparison between the two troops.

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The ratio of the rainbow fish to guoramis to corydoras is 5:2:3

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 to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

Rainbow fish is half, this means that the percentage of rainbow fish is 100×1/2 = 50%

percentage of guoramis is 20%

therefore the percentage corydoras = 100-(20+50) = 30%

therefore the ratio of rainbow fish to guoramis to corydoras = 50:20:30

divide through by 10 = 5:2:3

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The Pythagorean formula, c=√a²+b², can be used to get the required hypotenuse.

The hypotenuse is the longest side of a right-angled triangle or the side that faces away from the right angle.

The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse's length equals the sum of the squares of the lengths of the other two sides.

If one of the other sides in this situation is 3 (when squared, this equals 9) and the other is 4, this equals 16, and the sum of their squares is 25.

The length of the hypotenuse is equal to the square root of 25, or 5.

The hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².

Therefore, the Pythagorean formula, c=√a²+b², can be used to get the hypotenuse.

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If they want to make a profit of $1,725 or more, then they need to sell at least 101 tickets.

We know that each ticket costs $25, then if they sell t tickets the revenue is:

R(t) = 25t

We know that the band has a cost of $800, and they want to make a profit of at least $1,725, then we can write the inequality below:

25t - 800 ≥ 1,725

(remember that the profit is the difference between the revenue and the cost).

Now we can solve that for t.

25t  ≥ 1,725 + 800

25t  ≥ 2,525

t  ≥ 2,525/25

t  ≥ 101

They need to sell at least 101 tickets.

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The length of the path is determined by Pythagoras theorem and the length is equal to 14.14 feet.

The flower garden is in the shape of a square with a side length of 10 feet.

We have to find the length of the path at which Chi is paving the stones.

Since the length of the path is in the shape of the diagonal of the square.

Let, the length of the path be "L" feet.

By Pythagoras theorem,

[tex]10^{2} + 10^{2} =L^{2} \\100+100=L^{2} \\L^{2} = 200\\L=\sqrt{200} \\L=\sqrt[10]{2} = 14.142= 14.14 feet.[/tex]

Hence, the length (L) of the path is equal to 14.14 feet.

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Complete question:- ChiChi is planning to put a path of paving stones throughthrough her flower garden and the path is situated as a diagonal of her garden as the garden is a square with a side length of 10 feet. What will be the length of the path? Round your answer to 2 decimal places.

Answer: 7:4

Step-by-step explanation:

To simplify the ratio 14:8, we find the greatest common divisor of 14 and 8, and then we divide 14 and 8 by the greatest common divisor.

The greatest common divisor that you can use to simplify 14:8 is 2. This means the answer to the ratio 14:8 simplified is:

7:4

Answer:

(x^2 + 4x) + (y^2 - 18 y) - 5, complete the square on on x by adding to both sides.

Step-by-step explanation:

Answer:

The 4th answer: ((x1+x2)/2 , (y1+y2)/2)

Step-by-step explanation:

To find the midpoint of a segment, you get the average of the x intercepts and y intercepts. So for the x-intercept, add the x-intercepts and divide by 2 and for the y-intercept, add the y-intercepts and divide by two.

((x1+x2)/2 , (y1+y2)/2)

The true statement about b is b = p + q, and about c is c = p*q.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.

Given a quadratic function, x² + bx + c

and factors of equation is (x + p)(x + q)

for any quadratic equation, the product of factors is equal to the product of a and c,

here a = 1 and c = c

c = p*q,

and the sum of factors is equal to b,

b = p + q.

Hence options A and C are correct.

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(a) In this case, the men and women alternate, so we can treat them as two separate groups. There are n! ways to seat the n men in the first n seats and n! ways to seat the n women in the next n seats.

So, there are a total of (n!) ^2 ways to seat the n married couples.

(b) In this case, every woman must be next to her husband. We can treat each married couple as a single entity and seat them in (n!) ways.

So, there are n! ways to seat the n married couples around the table in this case.

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Step-by-step explanation:

Rewrite the following equation in slope-intercept form. 8x + 13y = -9 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Slope intercept form mean to solve for y:

8x + 13y = - 9

subtract 8x from both sides:

8x + 13y - 8x = - 9  - 8x

13y = - 9 - 8x

rearrange right side:

13y = - 9 - 8x becomes:

13y = - 8x - 9

divide both sides by 13:

13y/13 = (- 8x - 9)/13

Answer: y = [tex]\frac{-8}{13} x-\frac{9}{13}[/tex]

The measure of the angle m∠DBA is equal to 50°

From the question, we observe that the larger angle m∠CBA consists of the two angles m∠DBC and m∠DBA, so we shall sum the two small angles and equate the result to the larger angle to solve for the value of x as follows:

36° + 3x + 20 = 8x + 6

8x - 3x = 36 + 20 - 6 {collect like terms}

5x = 50

x = 50/5 {divide through by 5}

x = 10

so we can evaluate for the angle m∠DBA as follows:

m∠DBA = 3(10) + 20

m∠DBA = 30 + 20

m∠DBA = 50°

In conclusion, the measure of the angle m∠DBA is equal to 50°.

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The mean height of the four boys is 157657.75 centimeters.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

Given, Four boys have heights of 155155cm, 156156cm, 158158cm, and 162162cm.

Therefore, The mean height of the boys is the sum of the heights of boys divided by the total number of boys which is,

= (155155 + 156156 + 158158 + 162162)/4.

= 630631/4.

= 157657.75 cm.

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Step-by-step explanation:

To find the value of x, we need to solve the equation:

5x - (x + 3) = 3(2 - 2x) + x

Expanding the right-side expression:

5x - (x + 3) = 6 - 6x + x

Combining like terms on both sides:

6x - 3 = 6 - 5x

Adding 5x and 3 to both sides:

11x = 9

Dividing both sides by 11:

x = 9/11

So the value of x is approximately 0.818181818.

Answer: 100 minutes

Step-by-step explanation:

The system of inequalities on the graph is:

y ≤ 2

y > 2x - 4

Here we have the graph of a system of inequalites.

First, we can see a solid horizontal line, such that the shaded region is below that line, then one of the two inequalities will be:

y ≤ 2

And then we have a dashed line with a slope of 2 and an y-intercept of -4, this time the region above the line is shaded.

y > 2x - 4

Then the system of inequalities on the graph is:

y ≤ 2

y > 2x - 4

I can notice that this system does not appear on the options, so there may be a mistake in the options.

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The area of the garden will be = 1512 square meters.

The formula for calculating the area of a rectangle.

Rectangle surface area. A = l × b.

Once the length and breadth of a rectangle are determined, the area is computed.

The area of a rectangle may be calculated by multiplying its length and width.

Let's assume the length of the garden is 6x meters and the width is 7x meters, where x is a positive value that we need to find.

From the given ratio, we have:

6x + 7x = 78

13x = 78

x = 6

So the length of the garden is 6 * 6 = 36 meters and the width is 7 * 6 = 42 meters.

The area of the garden can be calculated as: 36 * 42 = 1512 square meters.

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Answer:16

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

When dealing with those types of problems, that's just another way of saying it's multiplication.

(64)2=64×2

which in this case, if you multiply to those numbers

64×2

youll get 128

64×2=128

The function f(x) has a value of 1929 for f(-43)

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

f(x) = x^2 - 2x - 6

An invertible function involves a function that have an inverse function or relation

The value of x in f(-43) is

x = -43

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

When the function f(-43) is calculated, we have

f(-43) = (-43)^2 - 2(-43) - 6

Evaluate the function

f(-43) = 1929

Hence, the value is 1929

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Complete question

The function f(x) is invertible. Find the value of

f(−43). if f(x) = x^2 - 2x - 6

Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.

Since the median of the data is 46cm

the third quartile is 48cm,

this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.

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