Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Option B. each cup adds 1/2 cm after the first cup is added.

What is a straight-line graph?

The graph follows a straight-line equation shows a straight line graph.

equation of a straight line is   y=mx+cy represents the vertical line y-axis.

x represents the horizontal line x-axis.    

m is the slope of the line

            slope(m)=tan∅=y axis/x axis.

c represents y-intercepts (it is the point at which the line cuts on the y-axis)

Straight-line graphs show a linear relationship between the x and y values.

Calculation:-

Slope = y₂ - y₁ / x - x₁

           = 8 - 5.5 / 8 - 3

           = 2.5 / 5

               = 1/2

Height added per cups = 1/2

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Answer:

DJ docks glam Kalahandi focusing more than a few days to get the latest flash player of year and a half hour or so to the following information to you soon and we are looking to

Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

Step-by-step explanation

The answers in bold is what was required from the question.

the null hypothesis using symbol:-

H₀ : μ = 11.80

the alternative hypothesis using symbol:-

H₁:  μ ≠ 11.80

This is a one tailed test. Given what you know, you will evaluate this hypothesis using a t test statistic.

Alpha level = 0.05

Sample size = n

Degree of freedom = n-1 = 40-1 = 39

To use the t distribution we will have to find the critical value from the t table this value is 1.685

But the question does not have sample mean and sample standard deviation. So I was unable to solve for the standard error

Answer:

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

  BD/sin(48°) = BD/sin(50°)

  BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

__

(b) We can use the Law of Cosines to find AD.

  AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

  AD^2 ≈ 110.841

  AD ≈ √110.841 ≈ 10.5281 . . . cm

__

(c) The area of ∆ABD can be found using the formula ...

  A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

  A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

The value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

The quadratic equation is given as:

–3 = –x^2 + 2x

Rewrite the equation as:

x^2 - 2x - 3 = 0

A quadratic equation is represented as;

ax^2 + bx + c = 0

So, we have

a = 1

b = -2

c = -3

The discriminant is

d = b^2 - 4ac

So, we have

d = (-2)^2 - 4 * 1 * -3

Evaluate

d = 16

Hence, the value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

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Answer:

16

Step-by-step explanation:

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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The result is that x = 8 is the smallest positive number such that f(x) surpasses g(x).

An integer is a whole number that may be positive, minus, or zero and is not a percentage. Integer examples include: -5, 1, 5, 8, 97, as well as 3,043. The following figures are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

To find the smallest positive integer x for which f(x) exceeds g(x)

we need to set the two functions equal to each other and solve for x:

f(x) = g(x)

-x² + 5x = -10x + 10

Simplifying the equation, we get:

x² + 15x - 10 = 0

Using the quadratic formula, we can solve for x:

x = (-15 ± sqrt(15² - 4(1)(-10))) / (2(1))

x = (-15 ± sqrt(265)) / 2

The two possible solutions are approximately -0.372 and -14.628. Since we are looking for the smallest positive integer solution, we take the ceiling of the positive solution to get x = 8.

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Answer: x^(-2)

Step-by-step explanation:

When dividing two powers with the same base, you subtract the exponents. Therefore, x^3 ÷ x^5 can be simplified as follows:

x^3 ÷ x^5 = x^(3-5) = x^(-2)

So, x^3 ÷ x^5 simplifies to 1/x^2 or simply x^(-2).

Answer:

11.25

Step-by-step explanation:

6 3/4 + 4 1/2

Step-by-step explanation:

From the 11th floor, someone can slide down to 9th, then 7th, then to 5th. At the 5th floor, they take the chute up to 8th floor and go up the escalator to 10th and then to 12th.

Answer:

C.30

Step-by-step explanation:

Its a pattern that increases by $5 as it goes down.

Answer:

3/2

Step-by-step explanation:

Recall that slope is y2 - y1 / x2 - x1.

Excellent. The question provides us with two points: (2,4) and (0,1). We can insert these two points into our equation.

Slope = (4 - 1) / (2 - 0) = 3 / 2.

Hope this helps!

Answer:

3/2

Step-by-step explanation:

(0,1) and (2,4)

(y2-y1)/(x2-x1)

= (4-1)/(2-0)

=3/2

Answered by GAUTHMATH

Data set two has the greater variability option (2) Data set two has the greater variability is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

\(\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}\)

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Two sets of scores have the same mean, but different standard deviations.

σ₁ and σ₂   (σ₂ > σ₁)

Coefficient of variation  = [SD/(mean)]×100

\(\rm CV = \dfrac{\sigma }{|x|}\times100\)

σ₂ > σ₁

Divide by |x| on both sides

σ₂/|x| > σ₁/|x|

\(\rm \dfrac{\sigma }{|x_1|}\times100 > \dfrac{\sigma }{|x_2|}\times100\)

(CV)₂ > (CV)₁

Thus, data set two has the greater variability option (2) Data set two has the greater variability is correct.

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Point A has coordinates (x1, y1). The x-coordinate, x1, is the horizontal distance from the origin, while the y-coordinate, y1, is the vertical distance from the origin.

Coordinates in math refer to a pair of numbers that indicate the position of a point on a two-dimensional graph or in a three-dimensional space. The two numbers are usually referred to as the x-coordinate (or abscissa) and the y-coordinate (or ordinate). In three-dimensional space, the third number is referred to as the z-coordinate (or applicate). A point located at (3, 4) on a two-dimensional graph would be located 3 units along the x-axis and 4 units along the y-axis. Similarly, a point located at (3, 4, 5) in three-dimensional space would be located 3 units along the x-axis, 4 units along the y-axis, and 5 units along the z-axis.

Both coordinates indicate the exact location of Point A in a coordinate system. For example, if Point A is located at (2, 4), it means that the x-coordinate of Point A is 2, which is 2 units away from the origin in a horizontal direction, and the y-coordinate of Point A is 4, which is 4 units away from the origin in a vertical direction. The origin is usually located at (0, 0) in a coordinate system.

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Answer:

\(3i\sqrt2\)

Step-by-step explanation:

We can rewrite the square root of negative 18 as \(\sqrt{18} \cdot\sqrt{-1}\). We can evaluate these two quantities separately. The square root of 18 can be factored to get 3 squared times 2. We can take the 3 out to get \(3\sqrt2\). Now, the square root of negative one can be rewritten as \(i\), so this is equal to \(3i\sqrt2\)

Answer:

1152

Step-by-step explanation:

5 hours = 160 quarts

1 hour = 32 quarts

and finally

36 hours = 32×36

= 1152

Answer:

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

Simplify the left side and compare if the answer matches the right side.

Answer:

put your first point at y 5

Step-by-step explanation:

go down 2 and 1 to the right  Point then down 2 and one to the right

continue that all the way down

then start back at y 5 ...go left one up 2 and point left one and up two ..continue that all the way up the f]lfet side of the graph ( - side )

draw a straight line all the way down and shade in the whole right side of the graph  

Answer:

420 miles after lunch

Step-by-step explanation:

Day 1 is 630 miles travelled - total amount of travelling.

After lunch is twice the amount of m.

Twice means 2.

So,

2xm + m (they'd have travelled) = 630 total miles

(2xm = 2m & 1m is the same as m)

2m + 1m = 630

3m = 630

÷3

m = 210 miles

Initial miles travelled before lunch was 210.

After lunch is double that amount.

Thus, 210 x 2 = 420 miles

Check:

210 + 420 = 630 miles.

Hope this helps!

Okay, here are the steps to solve this problem:

* The purchase price of the motorcycle is $9,100

* The down payment on the lease is $600

* The monthly lease payment is $250

So to find the function that describes the total cost (p) in terms of time (t) in months:

p(t) = 600 + 250t

* The initial down payment is $600

* Each month, you pay $250

* So the total paid after t months is $600 + $250t

To find how long it will take to pay more than the purchase price:

600 + 250t > 9,100

250t > 8,500

t > 34

So in this case, it will take 35 months or slightly over 2 years of lease payments to exceed the purchase price of the motorcycle.

Does this make sense? Let me know if you have any other questions!

Answer:

p = 600 + 250t

t = 34

Step-by-step explanation:

To find a function that describes how the cost of the lease depends on time, we need to consider the initial cost and the monthly cost of the lease. The initial cost is the down payment of $600, which is paid once at the beginning of the lease. The monthly cost is $250, which is paid every month for the duration of the lease. Therefore, the total cost of the lease after t months is:

p = 600 + 250t

This is the function that models the situation. It is a linear function with a slope of 250 and a y-intercept of 600.

To find how long can the motorcycle be leased before more than the purchase price has been paid, we need to compare the cost of the lease with the purchase price of $9100. We need to find the value of t that makes p equal to 9100. We can do this by solving the equation:

p = 600 + 250t

9100 = 600 + 250t

Subtracting 600 from both sides, we get:

8500 = 250t

Dividing both sides by 250, we get:

t = 34

This means that after 34 months, the cost of the lease will be equal to the purchase price. Therefore, to pay more than the purchase price, the motorcycle must be leased for more than 34 months.

Here's a funny way to remember this:

Why did the motorcycle renter cross the road? To get to his monthly payment!

What do you call a motorcycle that costs more than its worth? A cycle-path!

How do you make seven an even number? Just remove the "s"!

Answer:

Lulu= £81

Ruby=£108

Emma=£ 72

Step-by-step explanation:

Let Lulu's money be x

Let Ruby's money be y

Let Emma's money be z

The total money they went shopping with is = £261

So

x+y+z= 261

Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money.

Money spent by each

Lulu= 2/3x

Ruby=1/2y

Emma= 3/4z

Each of them spent the same amount of money.

2/3x= 1/2y= 3/4z

2/3x= 1/2y

x(2*2)/3 = y

4/3(x) = y

2/3x=3/4z

x(2*4)/(3*3)= z

8/9x= z

x+y+z= 261

x+4/3x+8/9x= 261

9x +12x +8x= 2349

29x= 2349

X= 81

4/3(x) = y

4/3(81) = y

108= y

8/9x= z

8/9(81)= z

72= z

Answer:

x=-4,-3,-2or-1

Step-by-step explanation :0

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

the answer to this is 25

Answer: 25

To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.

Hope this helped you!

Answer:

David

Bc it said David's parents lol

nice one tho

Answer: a

Step-by-step explanation: apex learning

The statement "Two gas stations operate on the same busy intersection." is correct option (A) would be correct.

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

Which situation is the best example of a pure competition market?

The statements are:

As we know, from the hypothesis definition the explanation made by the limited data.

The situation two gas stations operate on the same busy intersection.

Thus, the statement "Two gas stations operate on the same busy intersection." is correct option (A) would be correct.

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We have here a convex hexagon, and we have that the sum of the exterior angles of a polygon is always equal to 360 degrees. Then, we have:

Then, we have:

Therefore, the value for the sixth exterior angle is equal to 32 (option a).

Answer:

12.64

To the nearest 10th it would be 12.6

Step-by-step explanation:

If the last number of a number is 5 or above it would up but if the last number is under 5 then it would round down.

As 12.64's last number is under 5 this means that it would round down, so the answer would be 12.6

Hope this helps :)

Answer:

Step-by-step explanation:

This number is in between 12.6 and 12.7 as shown on the number line.

This means that the number must be 12.60, 12.61, 12.62, 12.63, 12.64, 12.65, 12.67, 12.68, 12.69, or 12.70 (note that 12.6 and 12.60 are the same thing)

Now to find the exact decimal we see that the red dot is 4 jumps to the right of 12.6, meaning that it is 12.64. This is because the first line to the right is 12.61, the second line is 12.62, the third line is 12.63, the fourth line is 12.64.

To round to the nearest tenth, we need to look at the hundredths place. If the hundredths place is from 0-4, you round down, in this case to 12.6. If the hundredths place is from 5-9, you round up, in this case to 12.7.

Hope this helps!