A line passes through the point (-4,8) and has a slope of -6 .

Write an equation in slope-intercept form for this line.

14)The sum of the tangent and the sine of the angle is obtained as 1.21.

15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.

16)The angle opposite the largest side is  130°.

The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the  trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.

14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;

a = √2^2 + 3^2

a = √ 4 + 9

a = 3.6

We know that;

tan θ = 2/3 = 0.66

sin θ = 2/3.6 = 0.55

Then;

tan θ + sin θ

0.66 + 0.55

= 1.21

We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.

15)

The area of the segment is obtained as;

Area of the triangle;

1/2r^2 sinθ

r= radius of the circle

θ = angle of inclination

1/2 * (10)^2 * sin 60

= 43.3

Area of the sector;

60/360 * 3.142 * (10)^2

= 52.3

Therefore the area of the triangle is;

43.3 +  52.3 = 95.6 m

b)The perimeter of the segment;

(2πr * θ/360) + 2rsin(θ/2)

(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))

1.047 + 10

= 11.047 m

16)

Using;

c^2 = a^2 + b^2 - 2abcos C

20^2 = 13^2 + 9^2 - 2(13 * 9) cos C

400 = 250 - 234cosC

400 - 250 = - 234cosC

150 =  - 234cosC

Cos C = -(150/234)

C = Cos-1-(150/234)

C = 130°

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Answer:

0.75

Step-by-step explanation:

We have\begin{align*}

\sqrt{0.5625} &= \sqrt{\dfrac{5625}{10000}}\\

&= \dfrac{\sqrt{5625}}{\sqrt{10000}}\\

&= \dfrac{\sqrt{25\cdot 225}}{100}\\

&= \dfrac{\sqrt{25}\cdot \sqrt{225}}{100}\\

&=\dfrac{5\cdot 15}{100}\\

&=\boxed{0.75}.\end{align*}

The Square root of 0.5625 is 0.75.

A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. The opposite of squaring an integer is finding its square root.

Given:

We have to find the square root of (0.5625).

So, 5625 can factorize as

= 5625

= 5 x 5 x 5 x 5 x 3 x 3

Now, making the pairs as

= (5 x 5) x (5 x 5) x (3 x 3)

= 5 x 5 x 3

= 75

So, the root of 0.5625 in decimal is 0.75.

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In the graph, the major axis is the horizontal axis, while the minor axis is the vertical axis.

An ellipse is a geometric shape that is a type of curve. In mathematics, an ellipse is defined as a set of points in a plane, such that the sum of the distances between any point on the curve and two fixed points is a constant which is known as foci.

To identify the major and minor axes of an ellipse, you can use both the graph and the equation of the ellipse.

Identify the major and minor axes using the graph: The major axis is the longest diameter of the ellipse, which passes through the center and touches the curve at two points called the vertices. The minor axis is the shortest diameter of the ellipse, which also passes through the center and touches the curve at two points called the co-vertices. On the graph, the major axis is the horizontal axis, while the minor axis is the vertical axis.

Identify the major and minor axes using the equation: The equation of an ellipse can be written in the standard form:

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

where the ellipse's center is (h, k), the semi-major axis' length is a, and the semi-minor axis' length is b. The semi-major axis is half the length of the major axis, while the semi-minor axis is half the length of the minor axis. Therefore, you can identify the major and minor axes by looking at the denominators of the terms that contain x and y in the equation. The larger denominator corresponds to the semi-major axis, while the smaller denominator corresponds to the semi-minor axis.

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Answer:

j = 139.99 + 139.99 * 0.08625

Answer:

Step-by-step explanation:

The most appropriate conclusion is: A) This is convincing evidence of an association between longer hand and longer foot.

The chi-square test is a statistical test used to determine whether there is a significant association between two categorical variables. It is used to compare observed frequencies of data to the expected frequencies to determine if they differ significantly. The test is based on the principle of comparing the difference between the observed frequencies and the expected frequencies, and then determining if this difference is statistically significant.

Here,

At the 0.05 significance level, with a chi-square statistic of 11.942 and 4 degrees of freedom, the P-value is 0.018.

Since the P-value is less than the significance level, we reject the null hypothesis of no association and conclude that there is evidence of an association between longer hand and longer foot.

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Complete question:

Imani was curious if there was a relationship between one hand being longer than the other and one foot being longer than the other for 100 randomly selected students. Here is a summary of the data and the results from a chi-square test:

Answer:

4 5/12 feet tall

Step-by-step explanation:

Find the LCM first. The LCM is the lowest common multiple between the two denominators. The LCM in this problem is 12, so you multiply each fraction until the denominators equal 12

4 3/4 -> 4 9/12

1/3 -> 4/12

Now it's much easier to solve. 4 9/12 - 4/12 = 4 5/12 feet tall

Answer:

523.3

Step-by-step explanation:

memorize this formula:

V = 4/3 π r³, where V = volume and r = radius.

so v=4/3π *5³ =125*4/3π =523.3

Answer:

30° and 150°

Step-by-step explanation:

We want to find the angles in the range:

0° < θ < 360°

Such that:

4*cos^2(θ) - 2 = 1

The first part is to isolate the variable θ in one side of the equation, let's do that:

4*cos^2(θ) = 1 + 2 = 3

cos^2(θ) = 3/4

cos(θ) = ± √(3/4) = ± (√3)/2

Then we have two possible values of θ, one for:

cos(θ) =  (√3)/2

And another for

cos(θ) = - (√3)/2

For both cases, we can use the inverse cosine function, Acos(x)

that has the property Acos( cos(x) ) = x

Then:

cos(θ) =  (√3)/2

Acos( cos(θ) ) = Acos(  (√3)/2)

θ = Acos(  (√3)/2) = 30°

And for the other case we have:

θ = Acos( - (√3)/2) = 150°

Then the two values of theta are: 30° and 150°

(We can see that both of these values are in the range 0° < θ < 360°)

Answer:

Step-by-step explanation:

Let the let be 5+2x and breadth be 2x

Now we have,

Perimeter=2(l+b)

88=2(5+2x+2x)

88=10+8x

8x=78

x=78/8

x=9.75

Again,

length=5+2x=5+9.75=24.5

Breadth=2x=2x9.75=19.5

Answer: 15

Step-by-step explanation: 15 ÷ 5 = 3

Answer:

43.76=44

Step-by-step explanation:

Cosx=adjacent/ hypotness

X=cos^-1(13/18)=43.76=44

Answer:

it's B

Step-by-step explanation:

you find the hypotenuse by doing the square of each length and adding them then finding the square root of the added lengths the you get your answer.

The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

In the question, we are given a set A = {10, 11, 12, 13}.

We are asked for the cardinal number of the set n(A).

Also, we are asked for the number of non-empty subsets of A.

The cardinal number of any set A is given as n(A), which represents the number of elements in set A.

For the given set A = {10, 11, 12, 13}, the number of elements are 4.

Thus, the cardinal number of the set A is, n(A) = 4.

The number of non-empty subsets of any set A, with cardinal number n, is given by the formula, 2ⁿ - 1.

The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4.

Thus, the number of non-empty subsets of set A = 2⁴ - 1 = 16 - 1 = 15.

Thus, the given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

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Answer: I cant see the picture

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

0.56 or 56

Step-by-step explanation:

3.92/0.07 is 56 if you wanted to place it in decimal for you would have to move the decimal point 2 places over to get a decimal.

Answer:

6*6*9*8*4*4 = 41472

Step-by-step explanation:

Answer:

i think it would be 29

Step-by-step explanation:

just add them

hope this helps

Answer:

Literslly anything less then -2 and greater then -3.5

Step-by-step explanation:

-2.1

-2.2

-2.3

-2.4

-2.5

-2.6

-2.7

-2.8

-2.9

-3.0

-3.1

-3.2

-3.3

-3.4

On solving the provided question, we can say that Therefore, you would need multiply  approximately 27.84 pounds of food each day for your horse.

One of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."

First, we need to convert the weight of the horse from kilograms to pounds, so:

678 kg x 2.20462 lbs/kg = 1495.69 lbs

Next, we need to calculate how many Mcal the horse needs per day:

0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day

Then, we can convert the Mcal to kcal:

22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day

Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:

22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day

Therefore, you would need approximately 27.84 pounds of food each day for your horse.

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Answer:

(x-2)^1/4=2 ---> 18

√x^2+7=4. ---> -3

^3√1-x=-1. ---> 2

Step-by-step explanation:

just did it on plato

The numerical expression \(\rm (x - 2)^{1/4} = 1\), √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

Simplification is to make something easier to do or understand and to make something less complicated.

The expressions are given below.

\(\rm (x - 2)^{1/4} = 1\), √x² + 7 = 4, and ∛(1 - x) = -1

Then By simplification, we have

x - 2 = 2⁴

    x = 16 + 2

    x = 18

√x² + 7 = 4

x + 7 = 4

x = -3

∛(1 - x) = -1

    1 - x = -1³

        x = 2

The numerical expression \(\rm (x - 2)^{1/4} = 1\), √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

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The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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Answer:

$5.84

Step-by-step explanation:

Table for f(x)

\(\boxed{\begin{array}{c|c}\boxed{\bf x}&\boxed{\sf f(x)}\\ \sf 0 &\sf 1 \\ \sf 2&\sf 9\\ \sf 4 &\sf 17\end{array}}\)

Table for g(x)

\(\boxed{\begin{array}{c|c}\boxed{\bf x}&\boxed{\sf g(x)}\\ \sf 0 &\sf 1 \\ \sf 2&\sf 7\\ \sf 4 &\sf 13\end{array}}\)

Option C is correct

Answer: The answer is B

Step-by-step explanation:

The number of hydrogen atoms present in the sculpture of earth if the mass of earth is 829 kg is 4.145 × 10²⁹.

Given that,

Mass of the sculpture of the earth = 829 kg

We know that,

Mass of an hydrogen atom = 2 × 10⁻²⁷ kg

Number of hydrogen atoms = Mass of earth / Mass of hydrogen atom

                                              = 829 / 2 × 10⁻²⁷

                                              = 414.5 × 10²⁷

                                              = 4.145 × 10²⁹

Hence the required number of atoms is 4.145 × 10²⁹.

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Answer:

Step-by-step explanation:

no. of black balls = 5

no. of white balls = 6

total no. of balls = 5 + 6 = 11

The probability of picking a white ball = 6/11

no. of red balls = 15

no. of black balls = 25

total no. of balls = 15 + 25 = 40

The probability of selecting a black ball = 25/40

by simplifying,

25/40 = 5/8

hope this helps

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Answer:

224π in^2

Step-by-step explanation:

Just plug in the values,

Surface area=2πr(h+r) [Factoring]

r=7in

h=9in

2πr(h+r)=2π*7(9+7)=14π(16)=224π in^2

Answer:   -2

:)

Step-by-step explanation: