15⁰ 5. [-/5 Points] Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. sin(150) = cos(150) = tan(15⁰) = DETAILS Submit Answer LARPCALC11 5.5.0

Answer:

$5518.93

Step-by-step explanation:

Compound interest formula:

\(A=P(1+\frac{r}{n})^{nt}\)

where P is the principal (starting amount), r is the interest rate, n is the number of times compounded per year, and t is the time in years.

The known variables are:

Plug those 4 into the equation now and solve for A:

\(\rightarrow A=4700(1+0.055)^3\\\rightarrow A=4700(1.055)^3\\\rightarrow A=4700\times1.1742\\\rightarrow A=5518.9345\)

Answer:

Step-by-step explanation:

Area of triangle = \(\frac{1}{2}*base*height\)

                           \(= \frac{1}{2}*9*11\\\\=\frac{99}{2}\\\\= 49.5 yd^{2}\)

Area of rectangle =length * width

                             = 11* 20

                             = 220 sq.yd

Area of the shaded region = area of rectangle - area of triangle

                                            = 220 - 49.5

                                            = 170.50 sq.yd

Answer:

170.5 yd^2

Step-by-step explanation:

To calculate the area of the whole rectangle (green shaded + unshaded) multiply width and length

11 × 20 = 220 yd^2

The area of the triangle (unshaded area) is calculated by multiplying height to the base and that divided by two

11 × 9 ÷ 2 = 49.5 yd^2 now to find the area of the green shaded part we subtract 49.5 from the whole area

220 - 49.5 = 170.5 yd^2

I'm not sure if it is dynamic or static equilibrium but if I had to choose I'd say dynamic

Answer:

It is in static equilibrium with a net force of 0 N.

Step-by-step explanation:

EDGE21

When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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Answer:

192 unit³

Step-by-step explanation:

The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:

Height, h = 8 unit³

Width, w = 4 unit³

Length = 6 unit³

The volume of the rectangular Prism is given as :

Volume = Length * width * height

Volume = (6 * 4 * 8) unit³

Volume = 192 unit³

Answer:

1552.92

Step-by-step explanation:

Answer:

1552.92

Step-by-step explanation:

You can use this formula!!!

9514 1404 393

Answer:

  (z, v)

Step-by-step explanation:

When the sides of the rectangle align with the axes, as here, the coordinates will be all (x, y) combinations from the sets x ∈ {w, z) and y ∈ {v, z}. Three of those combinations are shown. The fourth is (z, v).

ANSWER:

STEP-BY-STEP EXPLANATION:

Answer:

55

Step-by-step explanation:

6(10)-5

=60-5

=55

PLS GIVE BRAINLIEST

Answer:

55

Step-by-step explanation:

for this problem, you would use substitution. What you do is replace the x in the 6x-5 expression with 10 (since x is already solved for 10).

6x-5 and x=10

substitute x for 10

6(10)-5

simplify

60-5

answer

55

The Equation represent the line that passes through the points  (2, -8) and (-3, 2) is 2x + y + 4 = 0

Two point form is one of the important forms used to represent a straight line algebraically. The equation of a line represents each and every point on the line, i.e., it is satisfied by each point on the line.

The two point formula is used to represent a line algebraically using the coordinates of two points that lie on that line. The formula for two point form can be given as:

(y - y1) = m(x-x1) -----------(1)

where , m is slope of line given by => y2-y1/ x2 - x1

(x, y) is an arbitrary point on the line.

(x1, y1) and (x2 , y2) are coordinates of points lying on the line.

According to the question,

The required line passes through (2,-8) and (-3,2)

Slope : m = 2 - (-8) / -3 -2

=> m = 2+8/-5

=> m = 10/-5

=> m = -2

Substituting the values in equation (1)

(y - (-8)) = -2(x-2)

Solving,

=> y + 8 = -2x + 4

=> 2x + y + 4 = 0 is required equation of line

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Answer:

B

Step-by-step explanation:

Add the value of the dots

0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 =   22/8 = 2 6/8

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

7x - 3 = 39

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 39 does indeed equal 39.

∴ x = 6 is the solution to the equation.

Step-by-step explanation:

(Ryan+ castel)/2

(5+6)/2

11/2

5.5 hrs or 5½ hrs

Answer:

A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.

Answer:

do you have a pic of the circle

Step-by-step explanation:

As a mixed number, 4.2 can be written as 4 + 2/10.

As an improper fraction, 4.2 can be written as 21/5.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Since 4 + 2/10=4.2  so as a mixed number, 4.2 can be written as 4 + 2/10.

Also, 21/5=4.2 so, as an improper fraction, 4.2 can be written as 21/5.

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Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.

Here,

Given:

Mean = 2

Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.

We can determine that at least

100 (1-1k2)% = 100 (1-1/4)% = 75%

is within 2 standard deviations of the mean using Chebyshev's Rule with

k = 2.

The percentage times the sample size yields the equivalent number of households:

=> 75% x 40 = 30

Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

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Answer:

same

Step-by-step explanation:

They are the same since

1/2÷4=1/2×1/4(reciprocal)

Answer:

dfgdfvdfvthtybg f cv v  

Step-by-step explanation:

Answer

equation of L₁ is y = 2x - 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given L₂

x + 2y = 3 ( subtract x from both sides )

2y = - x + 3 ( divide through by 2 )

y = - \(\frac{1}{2}\) x + \(\frac{3}{2}\) ← in slope- intercept form

with slope m = - \(\frac{1}{2}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{2} }\) = 2

slope of L₁ = 2 and passes through (3, - 1 ) , then

y = 2x + c ← is the partial equation of L₁

to find c substitute (3, - 1 ) into the partial equation

- 1 = 6 + c ⇒ c = - 1 - 6 = - 7

y = 2x - 7 ← equation of L₁

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on the right side.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b

Comparing like terms with - 6x² + 12x - 15

x - term → - 3a = 12 ( divide both sides by - 3 )

                    a = - 4

constant term → - 3b = - 15 ( divide both sides by - 3 )

                               b = 5

The sampling probability refers to the property of an element of a given population in its given probability to become a part of a sample during the drawing of a single sample.

It is a defined and distinguished technique that is based on the principle of random selection to study a certain part of a concerning population. Furthermore, in this specific method, every member of the population has the possibility of having an equal chance of being chosen for the sample.

One backlash in the field of using sampling probability is it's very time-consuming and has a higher expenditure in comparison to other methods.

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i think it is -25x + 24y +6, if you're multiplying the variable, but if you're adding them then it is x - 10y +6

Answer:

\( \frac{2(x + 4)}{3} - 8 = 32\)

\( \frac{2(x + 4) - 8(3)}{3} = 32\)

\(2(x + 4) - 24 = 96\)

\(2x + 8 - 24 = 96\)

\(2x = 96 + 24 - 8\)

\(2x = 112\)

\(x = 56\)

The given statement is true. Rank A = rank M

To prove this, we can use formula which states that rank of a matrix A is equal to the dimension of its row space or column space.

Let's consider the matrix M of TA with respect to bases B of Rm and B of Rn. Since M is the matrix of a linear transformation, its row space and column space are the same as the range of TA.

Now, according to the hint, we can use formula for both matrices A and M. We have rank A = dimension of row space of A and rank M = dimension of row space of M = dimension of column space of M (since row space and column space of M are the same).

Since M is the matrix of TA, its column space is a subspace of the range of TA. Therefore, dimension of column space of M ≤ dimension of range of TA. But we know that rank A = dimension of range of TA.

Hence, we have rank M ≤ rank A.

On the other hand, we can also consider the matrix A as the matrix of a linear transformation from Rn to Rm. Then, by the same argument, we can show that rank A ≤ rank M.

Therefore, we have rank A = rank M.

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To find out the value of the number when A = 3.2, B = 6, and C = 8.

We are given the expression, Number = Floor(A + C / B)

Here, A = 3.2, B = 6, and C = 8.

Substituting the values in the given expression:

Number = Floor(3.2 + 8/6)Number = Floor(3.2 + 1.33)

Number = Floor(4.53)

Since the floor function is used in the given expression, it means that the decimal part of the answer will be dropped. Therefore, we get:

Number = 4

This is because the floor function is used in the given expression that always returns the largest integer that is less than or equal to the input value.

Therefore, the value of Number is 4 when A = 3.2, B = 6, and C = 8.

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The value of tickets for rock concert is $120 and the value of tickets for soccer match is $40.

From the information, for five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480.

Let the value of tickets for rock concert = x

Let the value of tickets for soccer match = y

Based on the information given, the equation will be:

5x + 3y = 720 .... i

2x + 6y = 480 ..... ii

Multiply equation i by 2

Multiply equation ii by 5

10x + 6y = 1440

10x + 30y = 2400

Subtract

24y = 960

y = 960 / 24

y = 40

Therefore, x will be:

5x + 3y = 720

5x + 3(40) = 720

5x + 120 = 720

5x = 720 - 120

5x = 600

Divide

x = 600 / 5

x = 120

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Complete question

For five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480. What is the value of the ticket for each of the events?

a. The substitution effect causes an increase of 10 units of good x due to the price change.   b. The income effect causes an increase of 10 units of good x due to the doubling of real income.



a. To calculate the substitution effect, we need to hold the utility constant. Since the price of good x decreased to $0.5, we can consider the new price ratio as 0.5:1 (x:y). Initially, with a budget of $10, we could purchase 10 units of good y. With the new price ratio, the consumer can buy 20 units of x for the same $10 budget. Therefore, the substitution effect leads to an increase of 20 - 10 = 10 units of x.

b. To calculate the income effect, we need to consider the change in real income caused by the price change. With the price of x decreasing to $0.5 and the consumer's disposable income remaining the same, the consumer's real income doubles. Since the utility function has an income elasticity of 1 for good x (as it appears in the utility function linearly), the consumer will allocate the same proportion of income to good x. Therefore, with the doubled real income, the consumer will purchase twice as much of good x.

Thus, the income effect leads to an increase of 10 units of x.

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Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.