Find the exact value of sin5pi/4

Answer:

good what about you?

Step-by-step explanation:

I got up and layed back down

Answer:

Hey so far, good and you

Answer:

B

Step-by-step explanation:

The value of 57.17 as a mixed number is - 57 17/100.

A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.

A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.

In this case, -57.17 will be:

= -57 + (17/100)

= -57 17/100.

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As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

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The scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable is called interaction. The correct answer is C.

Interaction refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable. In other words, interaction occurs when the effect of one independent variable on the dependent variable depends on the level of another independent variable.

This can be represented in an interaction plot, where the lines representing the relationship between the dependent variable and one independent variable have different slopes at different levels of the second independent variable.

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Answer:

The true mean contents of the cans being filled by this machine with 95% confidence is between 11.891 ounces and 11.949 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 34

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.032

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.032\frac{0.085}{\sqrt{35}} = 0.029\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 11.92 - 0.029 = 11.891 ounces.

The upper end of the interval is the sample mean added to M. So it is 11.92 + 0.029 = 11.949 ounces.

The true mean contents of the cans being filled by this machine with 95% confidence is between 11.891 ounces and 11.949 ounces.

Answer:

17.1%

Step-by-step explanation:

To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:

\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)

Therefore, approximately 17.1% of the trees in the wood are oak trees.

Answer:

17.1%

Step-by-step explanation:

In order to calculate the percentage of trees that are oak trees, we can use the following formula:

\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)

We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.

Substituting these values into the formula, we get:

\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)

Therefore, 17.1% of the trees in the wood are oak trees.

Hello!

see attachment

A1 = green

A2 = yellow

A3 = red

A1 = 15m * 3m = 45m²

A2 = (15m - (6m + 6m)) * 4m = 3m * 4m = 12m²

A3 = 15m * 3m = 45m²

A = A1 + A2 + A3

= 45m² + 12m² + 45m²

Answer:

b. 102 m²

Step-by-step explanation:

In order to find the area of shape.

Let's separate it into three rectangle.

We know that

Area of rectangle: Length*breadth

Using this

Area of left rectangle=15*3=45 m²

Area of middle rectangle=4*(15-6-6)=12 m²

Area of right rectangle= 15*3=45m²

Now

Total Area of shape= 45m²+12m²+45m²=102m²

Answer:

Step-by-step explanation:

SORRY ABOUT THE REST OF THE WORKSHEET, THEY ARE SUPPOSED TO ADD UP TO 180 not 90

19.

8x - 16 = 6x + 20

2x = 36

x = 18

M = 8(18) - 16 = 128

N = 128

O = 52

P = 52

20.

21x - 9 = 180

21x = 189

x = 9

W = 110

X = 110

Y = 70

Z = 70

Answer:

Step-by-step explanation:

volume = 1/3 π r² h

where h = 15 yd.

           r = 5 yd.

plugin values into the equation:

volume = 1/3 π r² h

            = 1/3 * π * 5² * 15

            = 392.7 yd³

Answer:

A. 392•8yd^3

Step-by-step explanation:

We need to find the probability:

where X is a normal random variable with mean 10.8 and standard deviation 0.9. To find this probability we need to use the z-score formula so we can use the standard normal distribution. The z-score is given by:

where μ is the mean and σ is the standard deviation. In this case the z-score is given as:

Then we have that:

Looking for the probability on the right side of the previous expression in the standard table we have that:

Therefore, the probability of choosing an item with length less than 8.4 inches is 0.0038

Answer:

Step-by-step explanation:

180-38=142

142/2=71

x=71

Answer:

Step-by-step explanation:
CED = 38* (Vertically opposite angles are always equal)

AEC = 143* (Angles on a straight line)
AEC Is an iscoceles triangle because diagonals are intersecting with diagonals

CAE = 18.5*
x = 90-18.5 = 71.5* (right angle at the corner of a rectangle)

Answer:

No.

Step-by-step explanation:

Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.

The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).

Answer:

0 ≤ y ≤ 8

Step-by-step explanation:

DOMAIN is x values of a function/graph

RANGE is the y-values that a function can have .....

     this one goes from 0 to 8 inclusive

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

\(y = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

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Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer:

$9.20

Step-by-step explanation:

you divide 46 by 5 and you get 9.20

Answer:

9.50

Step-by-step explanation:

$46 divided by 5 which equals $9.50

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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After answering the prοvided questiοn, we can cοnclude that As a result, equatiοn the sοlutiοn is f = -15.

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf eq sοlving is tο determine the value οr beliefs οf the variable(s) that will allοw the equatiοn tο be true.

The number of factors in an equation can be one or more, and it can be simple or complex, regular or non-statistical. The variable x is raised to the second power in the equation "x² + 2x - 3 = 0," for instance. Mathematical disciplines including algebra, calculus, and geometry all make use of lines.

The equation must be solved by isolating the variable "f" on one side. Applying inverse proportions to both sides of the equation until "f" is equal to one will accomplish this.

3(f/3) = 3(-5)

f = 3(-5)

f = -15

As a result, the solution is f = -15.

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This system of equations have 2 real solution.

As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.

y = 3x + 1 is a solution to 3x - y + 1 = 0.

This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.

Two points where this line crosses the circle denote actual solutions.

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Answer:

use identity (a - b) ^3 = a^3 - b^3 - 3ab (a - b)

here, a = x ^2

b = -1

= (x^2)^3 - (-1)^3 - 3 * x ^2 * -1 ( x^2 - (-1) )

x^6+ 3 x^2 ( x ^2 + 1)

I think this is the answer

answerr

maybe it is right

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower.  It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

Answer: