kaylie swims 1500m every monday,,wednesday, friday, and saturday. Sunday, she swims 1800m. how much km does she swim each week?

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

\(y = 415.113 -6.593 x_1 -4.504 x_2\)

Step-by-step explanation:

Given

\(x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5\)

\(x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60\)

\(y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31\)

Required

Use R code to determine the regression equation

\(y = b_o + b_1x_1 + b_2x_2\)

First, write the following code in a R program

\(x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)\)

\(x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)\)

\(y <- c(210,110,103,103,91,76,73,70,68,53,45,31)\)

\(mod <- lm(y\)~\(x1+x2)\\\)

\(summary(mod)\)

Next, run the program

See attachment for program and output

From the output, go to coefficients:

Check Estimate Std. column, you have the following:

\((Intercept) = 415.113\)

\(x_1 = -6.593\)

\(x_2 = -4.504\)

\(y = b_o + b_1x_1 + b_2x_2\) implies that:

\(b_o \to\) Intercept

\(b_1 \to x_1\)

\(b_2 \to x_2\)

Hence, the least square regression equation is:

\(y = 415.113 -6.593 x_1 -4.504 x_2\)

To determine the expected profit of the raffle, the first step is to calculate the expected value.

You have two options, that you get the winning ticket for $940 or that you don't get the winning ticket.

There is a total of 1000 tickets on the raffle, the probability of getting the winning ticket can be calculated as follows:

And the probability of getting a ticket without a prize can be calculated as follows:

The expected prize for the raffle can be calculated using the following formula:

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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Answer:

.04/n=4/100n or 4÷100n

Answer:

2(x + y) = 2x + 2y

Hope this helped and brainliest please

Answer:

Subjective

Conditional

Step-by-step explanation:

The 0% probability of accepting the offer is a subjective probability, since it is derived from candidate 4's individual personal judgment without calculations.

As for the 100%, it is a conditional probability, since it is linked to the probability of another event also happening. It is that probability of candidate 4 accepting the offer, given that candidate 5 is also hired.

Answer:

each number it being counted that number of times

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

72-12k plz mark brainlest

Step-by-step explanation:

Answer:

\(\huge\boxed{\boxed{72-12k}}\)

Step-by-step explanation:

Hello.

Please remember that the Distributive property states that

a(b+c)=ab+ac

Now, simplify:

12(6-k)

distribute 12 by multiplying it times 6 and -k:

72-12k

And we're done!

I hope it helps & have an outstanding day!
~ST2710 :)

Answer:

m=5/3

Step-by-step explanation:

if that's not how you write it then try y=5/3x

Answer:

About .19 cents for the unit rate

Step-by-step explanation:

Answer:

1800 divided by 100 = 18

Step-by-step explanation:

18

=

18 Remainder 0

Two or more expressions with an Equal sign is called as Equation.π=  C/d for equation C = πd

Two or more expressions with an Equal sign is called as Equation.

The given equation is  C = πd

c equal to pi times of d

We need to solve it for  π

To solve for  π we have to separate  π from d. To make this We have to divide both sides by d.

So C/d= π

Hence π=  C/d for equation C = πd

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The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

Answer:

I tried to draw it out for you

Below are some general reasons why a questionnaire might not be suitable:

Poorly constructed questions: If the questions in the questionnaire are not clear, ambiguous, leading, or biased, then the responses obtained may not be accurate or reliable. Poorly constructed questions may also lead to confusion, misunderstandings, and errors.

Lastly Inadequate sampling: If the sampling technique used to select respondents is not representative of the target population, then the results obtained may not be generalizable or applicable to the larger population. The sample size and composition may also affect the validity and reliability of the results.

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Answer:

Put the numbers,cross lowhigh pairs,add the leftover numbers,divide the sum by 2

Step-by-step explanation:

It is correct

Answer:

1. Put the numbers in order

2. Cross off low/high pairs

3. Add the leftover numbers

4. Divide the sum by 2.

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

D. \( x = \frac{5*\sqrt{2}}{2} \)

Step-by-step explanation:

Reference angle = 45°

Length of Opposite side = x

Hypotenuse length = 5

Applying trigonometric ratio, we have:

\( sin(45) = \frac{x}{5} \)

Multiply both sides by 5

\( 5*sin(45) = \frac{x}{5}*5 \)

\( 5*sin(45) = x \)

\( 5*\frac{1}{\sqrt{2}} = x \) (sin 45 = 1/√2)

\( \frac{5}{\sqrt{2}} = x \)

Rationalize

\( \frac{5*\sqrt{2}}{\sqrt{2}*\sqrt{2}} = x \)

\( x = \frac{5*\sqrt{2}}{2} \)

The equation for hyperbola with given foci is \(\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1\)

What is hyperbola?

In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.

The standard equation of a horizontal hyperbola with center (h,k) is

\(\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1\)

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a= 4-(-10)

2a=14

a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is \((\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)\)

Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c= 6-(-3)=9

So, 7^2+b^2=9^2

b^2= 9^2-7^2

b^2= 81-49

b^2= 32

Hence, on substituting the obtained values in the standard equation of hyperbola, we get

\(\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1\)

\(\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1\)

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Answer:

Step-by-step explanation:

We need to find the value (f-g)(2), so we need first to substitute 2 into the given functions f(x) and g(x) and then subtract the result of g(2) from f(2).

Here, f(x) = 3x^2 + 1 and g(x) = 1 - x,

So, We will substitute 2 into these functions:

f(2) = 3(2)^2 + 1 = 3(4) + 1 = 12 + 1 = 13

g(2) = 1 - 2 = -1

Now, we can subtract g(2) from f(2):

(f-g)(2) = f(2) - g(2) = 13 - (-1) = 13 + 1 = 14

Hence, the required value of (f-g)(2) is 14.

Answer:

The correct answer is 3. To solve for g(-2), we substitute -2 for x in the equation g(x) = 2x + 5. This gives us g(-2) = 2(-2) + 5, which simplifies to -4 + 5 = 1. Next, we substitute the value of g(-2) into the equation for f(g(x)) = 4 - x^2. Thus, f(g(-2)) = 4 - (1)^2, which equals 4 - 1 = 3.

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.