(a) A cyclist rode his bike for 169 min at an average velocity of 3.53 m/s on a bearing of 450. Find his total displacement in km as a vector in the form i and j

Answer: (x+y)-6

Step-by-step explanation:

i think lol

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

Answer: Answer C

Step-by-step explanation:

Because it is a reflection of the Y-axis, the X-coordinates would remain the same but the Y-coordinates would change.

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

Answer:

Answer is -19

Step-by-step explanation:

5 × 6 ÷ 6 – 12 × 2​

30 ÷ 6 - 24

5 - 24

-19

Answer:

d. 35

Step-by-step explanation:

y = 35x + 40

The slope is 35 as 'm' is the slope of the equation

LMK IF IT WAS RIGHT!!

Answer:

D (35)

Step-by-step explanation:

\(Hiya!\)

Sokka is here to help!!

Here's a explanation!

\(\frac{38}{100} (12)\)

\(=(\frac{38}{100} )(\frac{12}{1} )\)

\(=(\frac{19}{50} )(\frac{12}{1} )\)

\(=\frac{(19)(12)}{(50)(1)}\)

\(=\frac{228}{50}\)

\(4.56\)

ANSWER:

\(\frac{114}{25}, OR: 4.56\)

Hopefully, this helps you!!

\(Sokka\)

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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The maximum crossectional area would be when the base is 3 feet and the height is 1.5 feet each.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

From the given information, Let, 'x' be the height of both sides and 'b' be the base and A(x) is the cross-sectional area.

Given, The length is 6 feet, hence b = (6 - x).

Therefore, A(x) = x(6 - x).

A(x) = - x² + 6x.

The maximum would be, = - b/2a = - 6/- 2 = 3.

So, The maximum area will be when heights are 3/2 = 1.5 feet each.

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Answer:hahahaha

Step-by-step explanation:

Nasnhshshs

The area of the circle is 380.13271 in².

To find the area.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called center.

Given that:

Diameter =22 inch

The area of the circle is :

A=π\(r^{2}\)

d=\(2r\)

Solving for A

A= \(\frac{1}{4}\)π\(d^{2}\)

A=  \(\frac{1}{4}\)π\(22^{2}\)

A≈380.13271 in²

So, the area of the circle is 380.13271 in².

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Answer:

1103.1 is the answer

Step-by-step explanation:

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.

Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,

x / y = (1/2) / (1/3)

x / y = 3/2                        ...1

x + y = 5                          ...2

From equations 1 and 2, then we have

(3/2) y + y = 5

(5/2) y = 5

y = 2 quart

Then the value of 'x' is given as

x + 2 = 5

x = 3 quart

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

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Answer:  348 students do not own a cell phone.

Step-by-step explanation:

12 out of 15 = 80%

80% of 435 = 348

The equation that relates x, y, and z is z = (k x y).  the value of z when x=6 and y=8 is 192.

Based on the given question, the  question can be interpreted

z = (k x y)

k =constant of variation.

We were given that  z=-60 when x=3 and y=-5.

-60 = k * 3 * (-5)

-60 = -15k

k = -60/ -15

k = 4

Then the equation will be z = (4 x y), given that x = 6 and y = 8:

z = 4 * 6 * 8

z = 192

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Answer:

0.29

Step-by-step explanation:

I used a calculator

Answer:

y° = 130°

Step-by-step explanation:

The angel adjacent to y° corresponds with the given measure of degree that the brace makes with the wire.

Thus, the measure of the angle adjacent to y° = 50° (Corresponding angles are congruent)

y° and the angle adjacent to y° form a linear pair on a straight line.

Therefore:

y° + 50° = 180° (linear pair)

subtract 50 from each side

y° + 50° - 50° = 180° - 50°

y° = 130°

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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Answer:

The answer to the problem is 5.

Answer:

Step-by-step explanation:

\(-3-\left(-8\right)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=-3+8\\\\\mathrm{Add/Subtract\:the\:numbers:}\:\\-3+8\\=5\)

Divide 5 by 12 to determine the value of 5/12.

Since digit at thousandth place is 6, which is more than 5. So round of decimal number 0.416666 is,

Option A is correct.

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

Answer:

ok good  Step 1

Write your problem.

537.95 x 9.5% = ?

Step 2

Convert the % to a decimal:

9.5% to 0.095

Step 3

Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:

537.95 x 0.095 = 51.11

This problem gives the amount of the tax.

Step 4

Add the original price with the tax amount:

537.95 + 51.11 = $589.06 (total cost)

Step-by-step explanation:

Answer:

5 oranges and 10 apples were sold  

Step-by-step explanation:

Let x be the number of oranges sold and y be the number of apples sold

Since 15 fruits were sold in all we get the following equation

x + y = 15 ....................[1]

Each orange costs $1 so if x oranges were sold that would fetch x dollars in sales = x dollars in sales

Each apple costs $2 so if y apples were sold, that would result in 2y dollars in sales

Total sales in $ = x + 2y and we know this is $25 so we get the second equation as

x + 2y = 25 ..................[2]

Look at the two equations. The coefficient of the x term is the same. We can eliminate the x term by subtracting equation [1] from equation [2] as follows:

x + 2y = 25
                    -
x  +   y = 15
-----------------
        y = 10

(2y - y = y and 25-15 = 10)

Now that we know y = 10, we can use equation [1] to find x

x + 10 = 15

which makes x = 5

ANSWER

5 oranges and 10 apples were sold  

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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The time taken for the money to grow to $8670 at compound interest is approximately 9.24 years.

Given the amount of money that is the principal = $6000

Rate = 4% compounded quarterly.

Time = t

Amount = $8670

Now we know that the amount is calculated by the formula:

A = P(1+r/4)ⁿ

8670 = 6000(1+0.01)ⁿ

Hence

log 1.445 = n log 1.01

or, n = 36.99

Number of years = 36.99 / 4 = 9.24 years.

The interest that is added to a loan or deposit is referred to as compound interest. Compound interest is computed for a sum utilizing both the principal and interest already paid. The main distinction between compound interest and simple interest is this.

If we look at our bank statements, interest is usually credited to our account once a year. While the principle remains constant, the interest changes annually.

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The fraction of the total number of girls of secondary 1 pupils is 7/12.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Secondary 1:

Number of pupils in each of the three classes = 20x

1A:

Boys = (20x - m)

Girls = m

1B:

Boys = 5x

This means,

b = 1/5 (20x - m + m + b)

b = 1/5(20x + b)

b - (1/5)b = 4x

4b/5 = 4x

b = 5x

Girls = 20x - 5x = 15x

1C:

Boys = m

Girls = 20x - m

Now,

The total girls.

= m + 15x + 20x - m

= 35x

The total pupils.

= 3 x (20x)

= 60x

So,

The fraction of the total girls.

= 35x/60x

= 7/12

Thus,

The fraction of the total number of girls of secondary 1 pupils is 7/12.

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Answer:

Step-by-step explanation:

Given relation

Its range is the set of second values in the pairs

In the ascending order

Answer:

{-4, -2, 2}

Step-by-step explanation:

The relation is {(3, -2), (1, 2), (-1, -4),(-1, 2)}

The range is all possible y values apart from any duplicates.

y = -2, 2, -4, 2

Removing all duplicates we get.

y = -2, 2, -4

Put them in order.

y = -4, -2, 2

Best of Luck!