Find the exact value of cos (-315)° .

-15_, -9, -3_, 3, 9...

First of all we understand about what is sequence ?

A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function. Sequences can be both finite and infinite.

Now we know that

Arithmetic = each new term differs from the previous term by a fixed amount.

an = a1 + d (n − 1)

Geometric = each element after the first is obtained by multiplying the previous number by a constant factor

an = a1 (r)^(n − 1)

Given pattern is

_,-9,_,3,9

find out the blanks by following a pattern ..

The term to term rule of a sequence describes how to get from one term to the next.

There is the difference of +6

hence The common different is +6.

-15_, -9, -3_, 3, 9...

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Answer:

3.19 or 3.2 if round

Step-by-step explanation:

160^2 = 25600

81826 / 25600= 3.19

Answer:

Step-by-step explanation:

the answer is 46.989

tenths, ones, decimal, hundredths, thousandths

the answer must be greater than 46.98 but less than 47.

All the ways of sampling the students that would produce a representative sample are Simple random sampling, Strafied random sampling, Systematic sampling, Cluster sampling, Convenience sampling.

Sampling : In statistics, quality assurance, and survey methodology, sampling is the selection of a subset of individuals from within a statistical population to estimate characteristics of the whole population.

Given that Clayton wonders what types of sports the students at his school like to play. So, he plans to ask a small sample of them.

Explanation:

Let us assume that there are 3000 students in Clayton's school and he has to choose a sample of 20 students.

1) Simple random sampling - Pick 20 of the students of the school from the 3000 students there are in his school.

2) Strafied random sampling - Divide all the students of the school into 4 grades and randomly pick 5 students from each of the grades.

3) Systematic sampling - Pick evert 7th student who enters the school premises until 20 students are picked.

4) Cluster sampling - Pick several 1st period classes of the school then randomly pick students from those classes.

5) Convenience sampling - Ask 20 students from all the 3000 students in the school recess.

Therefore, All the ways of sampling the students that would produce a representative sample are Simple random sampling, Strafied random sampling, Systematic sampling, Cluster sampling, Convenience sampling.

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Using a system of equations, it is found that the number of votes that he received for each place is given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

He received 892 total votes, hence:

x + y + z = 892.

Total of 2029 points, hence:

3x + 2y + z = 2029.

He had 4 fewer than twice as many second-place votes as first-place votes, hence:

x = 2y - 4.

Replacing in each of the first two equations:

x + y + z = 892.

2y - 4 + y + z = 892

3y + z = 896.

3x + 2y + z = 2029

3(2y - 4) + 2y + z = 2029

8y + z = 2041.

Multiplying the first equation by -1, and subtracting the second equation from the first, we have that:

5y = 1145

y = 1145/5

y = 229.

The other amounts are given as follows:

Hence the number of votes that he received for each place is given as follows:

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Answer: 140

Step-by-step explanation: 25x20=500

32x20=640

640-500= 140!!

The width of the rectangle with a perimeter of 220 inches is 38 inches.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

The perimeter of a rectangle is expressed as;

P = 2( length + width )

Given the data in the question;

Let x represent the width of the rectangle.

To solve for the width ( x ), plug the given values into the perimeter formula above and solve for x.

P = 2( length + width )

220 = 2( (2x - 4 ) + x )

220 = 2( 2x - 4 + x )

220 = 2( 3x - 4 )

220 = 6x - 8

6x = 220 + 8

6x = 228

x = 228/6

x = 38

Therefore, the width of the rectangle x is 38 inches.

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The maximum value of the periodic function will be 2.5 if the amplitude of a periodic function is 2.5 and its minimum value is 0 option (H) 2.5 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The amplitude of a periodic function = 2.5

The minimum value = 0

The maximum value = the amplitude = 2.5

Thus, the maximum value of the periodic function will be 2.5 if the amplitude of a periodic function is 2.5 and its minimum value is 0 option (H) 2.5 is correct.

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Answer: x=7

Step-by-step explanation: 15x=120, x=8, 8-1= 7 brainliest?

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Explanation:

Central angle AOC is 144 degrees. This means arc ABC is 144 degrees because the central angle subtends this arc.

The remaining bit of the circle is 360-144 = 216 degrees. If we placed point E somewhere on the edge of the circle, toward the bottom, then major arc AEC is 216 degrees in measure.

Notice how inscribed angle ADC subtends this 216 degree arc. So according to the inscribed angle theorem, angle ADC is half of the 216 degree arc at 216/2 = 108 degrees.

Angle APD = 180 - (angle APC) = 180 - 145 = 35 degrees

------------------------

Focus solely on triangle ADP. We have these interior angles

The three interior angles must add to 180

A+D+P = 180

A+108+35 = 180

A+143 = 180

A = 180-143

A = 37 which is the measure of angle BAD.

The Approximate assessment probability that next year is temperature year 16 will be in the 90s is 0.53

In the image that we have, there are 8 years out of a total of 15 years that would be having the temperature in the 90s.

This can be written in the fraction as 8 / 15 = 0.53

The probability can be defined as the chances of having something happening.

Hence we would say that the Approximate assessment probability that next year is temperature year 16 will be in the 90s is 0.53

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Equation that has the specified asymptotes for the translation of y=2/x. x=4 and y=-8  is :

y = 2 / x- 4   -  8

The graph is shifted by that many units in the positive direction if you deduct a constant from your original function's x.

The original function's graph is shifted downward by that many units if a constant is subtracted from the y value.

Your first formula was y=2/x. The vertical asymptote is discovered when the denominator's root is solved for. It is x=0 in this instance, or the y-axis.

And when x changes to ∞, y=2/∞=0. This indicates that the y-axis, or your horizontal asymptote, is at y=0.

After seeing the first graph

Now, you can see the transformation of y=2/x below. As is evident, it has shifted 2 units to the right and 8 units down with vertical asymptote at x=4 and horizontal asymptote at y=−8.

you can see the second graph here...

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The height of the pine tree shaped like a cone is 58.03 feet.

The curved surface of a cone is when we only consider the surface area of the sides.

We know the general formula for the volume of a cone is (1/3)πr²h.

Given, the volume of a pine tree shaped like a cone is 3887.2 cubic feet also given that it has a radius of 8 feet,

∴ We can obtain the height of the pine tree by equating given volume with the formula and substituting the value of radius.

So, (1/3)π(8)²h = 3887.2.

(1/3).(3.14).(64)h = 3887.2.

(200.96/3)h = 3887.2.

h = (3887.2×3)/200.96.

h = 11661.6/200.96.

h = 58.03 feet.

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Step-by-step explanation:

I hope this helped you

Using the absolute value function, we have that:

1) The table is:

2) The graph is given at the end of the answer.

3) The rule is: g(x) = |x - 3|.

4) The rule is: D(x) = |x| - 5.

5) The rule is: K(x) = |x - 3| - 5.

The absolute function is defined by:

It measures the distance of a point x to the origin.

Hence, applying the rule, the table is completed as follows:

The function is graphed at the end of the answer.

A translation right of 3 units is given by:

f(x - 3).

Hence:

g(x) = |x - 3|.

A translation down 5 units is given by:

f(x) - 5.

Hence:

D(x) = |x| - 5.

For item 5, the function was shifted 5 units down and 3 right, hence it is given by:

K(x) = |x - 3| - 5.

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Answer:

Toyota

Step-by-step explanation:

im not sure im a 5th grder that just guessed

Answer:

a) 33/50         b) 17/50

Step-by-step explanation:

total cars = 250

toyotas = 165

The probablity of the first car to leave being a toyota is

165/250

Simplify it to 33/50

The probability of the first car to leave not being a toyota is

(250 - 165)/250

= 85/250

= 17/50

=======================================================

Explanation:

Define the following three events:

Notation like P(A) = 12/20 means the probability of event A (aka picking the plain biscuit) is 12/20 since there are 12 plain biscuits out of 20 total. I'll leave the fraction un-reduced so we can see where the 12 and 20 come from. Going from 12/20 to 3/5 has us lose vital information about the original values.

Notation like AB means a plain biscuit was selected first and then a chocolate biscuit is selected second in that exact order. I'm assuming the first selection is not replaced. This makes the probability of the second selection dependent on the first.

So,

P(AB) = P(A)*P(B given A) = (12/20)*(5/19) = 3/19

P(AC) = P(A)*P(C given A) = (12/20)*(3/19) = 9/95

P(BC) = P(B)*P(C given B) = (5/20)*(3/19) = 3/76

The last step is to add those results to get the probability of event AB, event BC or event AC of occurring. Addition is possible since the events are mutually exclusive.

P(AB)+P(AC)+P(BC) = 3/19 + 9/95 + 3/76 = 111/380

I've skipped a few steps, so let me know if you need to see the finer details. Also feel free to ask about any questions in general if they come up.

The equation is a quadratic equation.

Linear equation is a equation whose degree is 1. Degree is defined as the highest power of the variable in a polynomial function.

Quadratic equation is a equation whose degree is 2.

Exponential equation is a equation in which the variable appear a exponents.

Now we have been the equation that is,

                  [tex]y=3(x + 1)^{2}[/tex]

Expanding this we would get

                  y = 3([tex]x^{2}[/tex] + 1 + 2x)

                  y = 3[tex]x^{2}[/tex] + 2x + 3

Here the highest power is 2 that is the degree is 2 . Thus this equation is a quadratic equation.

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Answer:

b) $1,391.25

Step-by-step explanation:

Noon is at 12pm, so 8am-12pm will be 4 hours.
8821-3256=5565, so the snack bar made $5565 in 4 hours, to find how much it made in 1 hour we need to divide 5565 by 4.

5565/4=1391.25

Answer:

26

Step-by-step explanation:

[tex]2(4)^0+4! \\ \\ =2(1)+24 \\ \\ =26[/tex]

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.105ft2 is the area of given figure.

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The given figure has rectangle and semi circle.

Area of rectangle=length * Breadth

=10*8

=80 ft2

Area of semicircle=1/2πr2 (r=4ft)

=1/2*3.14*(4)^2

=3.14*4*2=25.12ft2

Therefore area of figure is

=Area of rectangle+Area of semicircle

=80ft2+25.12ft2

=105ft2.

Therefore area of figure is 105ft2.

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The sequence is -2 1/4, - 1.2, -0.7, 2 1/2, 2 3/4.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

We have given number as

-2 1/4 = -2.25

-1.2

-0.7

2.5

2.75

So, the arrangement from least to greatest is -2 1/4, - 1.2, -0.7, 2 1/2, 2 3/4.

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The angle measures for this problem are given as follows:

15. m<2 = 18º.

16. m<1 = 79º.

17. m<UPS = 151º.

18. m<W = 131º.

19. m<1 = 34º.

20. m<1 = 147º.

Using the angle addition postulate, we have that an angle of 90º is split into two angles, angle 1 and angle 2, hence:

m<1 + m<2 = 90º.

We use this equation to solve for x as follows:

7x - 19 + x + 5 = 90

8x - 14 = 90

8x = 104

x = 104/8

x = 13º.

Hence the measure of angle 2 is given as follows:

m<2 = x + 15 = 18º.

1 and 4 are vertical angles, meaning that they are congruent, hence we can solve for x as follows:

6x + 25 = 10x - 11

4x = 36

x = 9º.

Hence the measure of angle 1 is given as follows:

m<1 = 6(9) + 25 = 79º.

Angles 4 and 5 are supplementary, meaning that the sum of their measures is of 180º, hence we solve for x as follows:

3x + 7 + 9x - 43 = 180

12x = 216

x = 216/12

x = 18.

The measure of angle UPS is:

m<UPS = m<4 + 90º = 3(18) + 7 + 90 = 151º.

From the explanation of supplementary angles in item 17, we have that:

m<W + 49º = 180º

m<W = 131º.

Complementary angles are angles whose sum of the measures is of 90º, hence:

m<2 + m<3 = 90º

m<2 + 56 = 90

m<2 = 34º.

Vertical angles are congruent, hence:

m<2 = m<1 = 34º.

The measures of the angles are:

Angles that form a linear pair are supplementary, hence:

m<1 + m<2 = 180

5x - 18 + x = 180

6x = 198

x = 198/6

x = 33.

Then the measure of angle 1 is given by:

m<1 = 5(33) - 18 = 147º.

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The given expression can be simplified by using the rule of negative exponent.

In the expression, there are two terms with negative exponent. The second base term y has a negative exponent -2/3. The second negative exponent -6 is applied to both base terms.

The rule states that the negative exponent can be solved by reciprocating the base term i.e. a^-x=1/a^x.

Solving the negative exponent for y,

Hence, x^1/2y^-2/3=x^1/2/y^2/3.

Solving the second negative exponent -6 that applies to both terms, applying the same rule i.e. a^-x=1/a^x.

(x^1/2/y^2/3)^-6=(y^2/3/x^1/2)^6

Multiplying the powers and simplifying,

y^2/3*6/x^1/2*6=y^4/x^3

The simplest form of the expression (x^¹/₂y^⁻²/₃)^-6 is y^4/x^3.

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Answer:

0.2

Step-by-step explanation:

Divide 2 by 9. You’ll get 0.222222…

So, you have to round it down to 0.2

I hope this helps. Please mark me brainliest.

Since Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn’t want to go to college, the occupation that fits her will be C Private detective.

It should be noted that from the information, Jasmine wants to enter a career with median earnings of at least $33,500, but she doesn’t want to go to college.

A Makeup artist earns $31,820.

A Mathematician earns $86,930.

A Private detective earns $33,750

A Massage therapist earns $33,400.

Therefore, the best occupation for her since she doesn't want to go to college and earns above $33500 is the private detective.

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Answer:

C. Private detective

Step-by-step explanation:

The percentage increase from the boat price of 2600 to 4100 is 57.69%

The given parametes are

Cost price = 2600

Selling price = 4100

The percentage increase in the price of the boat is calculated as

Percentage increase = (Selling price - Cost price)/Cost price * 100%

Substitute the known values in the above equation

So, we have

Percentage increase = (4100 - 2600)/2600 * 100%

Evaluate the difference in the above equation

So, we have

Percentage increase = 1500/2600 * 100%

Evaluate the quotient in the above equation

So, we have

Percentage increase = 0.5769 * 100%

Evaluate the product in the above equation

So, we have

Percentage increase = 57.69%

Hence, the percentage increase from the boat price of 2600 to 4100 is 57.69%

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Answer:

60% (Rounded to the first decimal)

Step-by-step explanation:

How many times does 2600 go in 4100:

4100/2600 = 1.6

The statement which are true for triangle LMN are :

1 ) The angle at vertex L is acute.

2) The angle at vertex N is acute.

What is obtuse angle ?

An obtuse angle is defined as an angle measuring less than 180 degrees and greater than 90 degrees. Examples of obtuse angle degrees include 165°, 135°, 110°, 179°, 91°, etc., which lie between 90° and 180°.

Here, it is given that triangle LMN has an obtuse angle at vertex M that is :

The angle formed by vertex L and N will be acute angle that is less then 90 degrees as to satisfy the triangle law of addition (all sum of all the angles of a triangle is 180 degree).

Therefore, option A and D are correct.

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Answer:  1, 2 and 5

Step-by-step explanation:

Analyzing Obtuse Triangles
see picture

The amount of fuel required to drive 250 miles will be 25.14 liters.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a car consumes 25.00 liters of fuel when driving a distance of 400.0 km. The amount of fuel required for 250 miles will be calculated as:-

1 km = 0.6213 miles

400 km = 400 x 0.6213 miles

400 km = 248.52 miles

248.52 miles = 25 litres

1 mile = 25 / 248.52 litres

250 miles = ( 250 x 25 ) / 248.52 litres

250 miles = 25.14 litres

Therefore, the amount of fuel required to drive 250 miles will be 25.14 liters.

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