What is the exact value of cosine startfraction 7 pi over 12 endfraction? a. startfraction startroot 6 endroot minus startroot 2 endroot over 4 endfraction b. startfraction startroot 6 endroot startroot 2 endroot over 4 endfraction .c startfraction 2 startroot 2 endroot minus startroot 6 endroot over 4 endfraction d. startfraction startroot 2 endroot minus startroot 6 endroot over 4 endfraction

The required functions after transformations are y = -4(x+4)+5, y = (x-o)/14, y = -x+4

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, the equation for the parent linear value function, f(x)=x, that has been transformed by,

a) Reflecting across the -axis, vertical stretch by a scale factor 4, and a translation of 4 units up and 5 units left :-

Rule for reflection across x-axis = y = f(x) → y = -f(x)

After reflection,

f(x) = -x

And there is a vertical stretch by a scale factor 4, and a translation of 4 units up and 5 units left

f(x) = -4(x+4)+5

Therefore, the function will be f(x) = -4(x+4)+5

b) Vertical shrink by a scale factor of 14 and a horizontal shift O units right.

For vertical shrink = f(x)/14 = x/14

For horizontal shift = (x-o)/14

Therefore, the function will be f(x) = (x-o)/14

c) Reflection in the x-axis, a vertical shift of 4 units up and a horizontal shift 7 units left.

Rule for reflection across x-axis = y = f(x) → y = -f(x)

f(x) = -x

For a vertical shift of 4 units up and a horizontal shift 7 units left =

f(x) = (-x-7)+4

Hence, The required functions after transformations are y = -4(x+4)+5, y = (x-o)/14, y = -x+4

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1.25 times 1.2×106 is smaller than the 1.47×107. Therefore, the correct answer is option D.

Given that, 1.2×106 and 1.47×107.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Here,

1.2×106 = 127.2

1.47×107 = 157.29

Now, [tex]\frac{157.29}{127.2}[/tex]

= 1.25

Therefore, the correct answer is option D.

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Answer:

x = 10-3y whole divided by 5

Step-by-step explanation:

- divide by 3

-subtract 5x

-simplify - y=-5/3x+10/3

hope it helps i think its wrong tho

Answer:

5x + 3y = 10

Subtract 5x from both sides

Divide everything by 3

y = [tex]\frac{-5}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

5x + 3y = 10    Given

5x + 3y = 10  Subtract 5x from both sides

5x - 5x + 3y = -5x + 10

3y = -5x + 10    Divide everything by 3

[tex]\frac{3y }{3}[/tex] = [tex]\frac{-5}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

y = [tex]\frac{-5}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

The length of the walkway in feet is 15.

Any plane shape that has four equal length of sides is referred to as a square. Its area is the amount of space that it covers in a 2 dimensional plane. And the area of a square is given as;

area of a square = length x length

                           = length^2

It is measured in squared units.

Given that there are 5 square carpet tiles which covered an area of 45 square feet, then the area of one square carpet tile is;

area of one square carpet tile = total area covered/ number of tiles

                                     = 45/ 5

area of one square carpet tile = 9 square feet

But,

area of a square = length^2

9 = length^2

length = 3 feet

So that,

length of the walkway = 5 x 3

                                     = 15 feet

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Based on the number line provided, it can be concluded the blue dot is equivalent to 0.

This is a horizontal line with values or numbers on it. Number lines are different from just any other line because the numbers on them follow a sequence and at placed at defined intervals. Most number lines include the number 0,1,2,3, but the sequence might be different.

Based on the values provided, it can be concluded the sequence is -10,-6,-8, etc. and this would make the blue dot to be 0.

Note: This question is incomplete, below I attach the missing information.

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Answer:

Step-by-step explanation:

As stated in the question,

let's number of euros be x and number of pesos be y

So,

10x =210y

x=21y

x - 21y =0 (Functional relationship between x euros and y pesos)

Answer:

PEg = 196.2 J

Step-by-step explanation:

PEg = mass * gravitational field* height

PEg = 4kg * 9.81m/s² * 5m

PEg = 196.2 kg m²/s²

The 4 rules of Congruence that are used in proving two triangles congruent are (SSS) Side - Side - Side , (SAS) Side - Angle - Side , (ASA) Angle - Side - Angle and (RHS) Right Angle - Hypotnuse - Side .

The Two Triangles are called Congruent if their sides have same length and angles have same measure.

The Four rules by which we can prove 2 triangles as congruent are :

(i) (SSS) Side - Side - Side ,

The 2 triangles are said to be congruent by SSS rule. If all 3 sides of one triangle are equivalent to the corresponding 3 sides of second triangle .

(ii) (SAS) Side - Angle - Side ,

The 2 triangles are said to be congruent by SAS rule if , any 2 sides and the angle included between sides of one triangle is equivalent to corresponding 2 sides and the angle between sides of second triangle .

(iii) (ASA) Angle - Side - Angle ,

The 2 triangles are said to be congruent by SAS rule if any 2 angles and the side included between angles of one triangle is equivalent to  corresponding 2 angles and side included between angles of second triangle .

(iv) (RHS) Right Angle - Hypotnuse - Side ,

The 2 triangles are said to be congruent by SAS rule if , hypotenuse and a side of a right- angled triangle is equivalent to hypotenuse and side of  second right- angled triangle .

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The 4 rules of congruence

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

SSS (Side-Side-Side) The two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.

According to the SAS (Side-Angle-Side) rule, two triangles are said to be congruent if any two sides and any angle included between the sides of one triangle are comparable to the corresponding two sides and any angle included between the sides of the second triangle.

The two triangles are said to be congruent by the ASA (Angle-Side-Angle) rule if any two angles and the side included between the angles of one triangle are comparable to the corresponding two angles and side included between the angles of the second triangle.

AAS (Angle-Angle-Side) (Angle-Angle-Side)

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

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The value of x if the point B is between the points A and C is (a) 25

From the question, we have the following parameters that can be used in our computation:

B is between A and C.

Also from the question, we have the following parameters:

AB = 50

BC = 3x

AC = 6x−25

The statement "B is between A and C" implies that

AC = AB + BC

Substitute the known values in the above equation, so, we have the following representation

50 + 3x = 6x - 25

Evaluate the like terms

3x = 75

Divide both sides by 3

x = 25

Hence, the solution of x is 25

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Answer:

Step-by-step explanation:

(x + a) * (x + b) = 0?

The ONLY way that two things can multiply together to give zero is if ONE or BOTH of them IS ZERO.

so,

x+a=0 or x+b=0

(0 + a) * (a+ b) = 0 or (x + a) * (0+ b) = 0 or (0+ a) * (0+ b) = 0

Answer:

n=3

Step-by-step explanation:

you must cross multiply

The order of the steps for the bisection of line segment AB will be D, E, B, C, and A.

The first thing we do for bisecting any line segment is to take up a distance of more than the approximate half of the line segment and place the compass on either point of the line.

Hence the first point will be D. Place the compass on point A and open it wider than half the distance of the segment.

Since an arc on both sides of the segment has to be drawn, the next point will be E. Swing an arc above and below the segment.

Since the same thing has to be repeated for the other point, the next point will be B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.

Now we have got 2 points above and below the line segment, the next point has to be C. Place points C and D on the intersection of the arcs created above and below segment AB.

The line intersecting these points and AB has to be the point that divides AB in half, and the last point will be A. Draw a line from point C to point D.

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Complete Question

What is the correct order of steps for bisecting segment AB?

A. Draw a line from point C to point D.

B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.

C. Place points C and D on the intersection of the arcs created above and below segment AB.

D. Place the compass on point A, and open it wider than half the distance of the segment.

E. Swing an arc above and below the segment.

Answer:

c

Step-by-step explanation:

Answer: 4 and 2

Step-by-step explanation:

4+2=6

4-2=2

Answer:

4 and 2

Step-by-step explanation:

4+2=6

4-2=2

6-2=4

Answer:  $65.25

Step-by-step explanation:  First you do inverse operation which would be 64.35+3.25 and you would get 67.60 then you subtract 2.35 to get $65.25

65.25+2.35=$67.60

$67.60-3.25=$64.35

Answer:

X = -6, y = 8.

Step-by-step explanation:

Rearrange the second equation to the form ax + by = c

x + 2y = 10

2x - y = -20

Multiply equation 1 by -2

-2x - 4y = -20

Adding this to the second equation

-5y = -40

Y = 8.

Now substitute x = 8 into equation 1

X + 2(8) = 10

X = -6.

On solving the provided question we can say that three expression whose value = -3/4 are -1/4-3/4; -2/4-1/4; 1-1/4

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

by expression

three expression whose value = -3/4 are -1/4-3/4; -2/4-1/4; 1-1/4

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The examples of SSS similarity theorem (i.e If all the three sides of a triangle are in proportion to the three sides of another one) are ∆ABC is similar ∆DEF and one large triangle is similar to smaller one as seen in above figure.

SSS Triangle Similarity Examples : 1) How can you use the SSS similarity criterion to show that the following triangles are similar?

Only non-zero angles are specified. SSA is not a measure of triangle similarity, so we cannot say that these triangles are similar by SSA. However, since they are right triangles, you can use the Pythagorean theorem to find the third side of any triangle.

=> x² = 45² - 36² = 2025 - 1296 = 729

=> x = √729 = 27

=> x² = 15² - 12² = 225 - 144 = 81

=> x =√81 = 9

All three pairs of sides are proportional in ratio 3. Therefore, triangles are more similar to SSS~.

2) Are the triangles (that is, ΔABC and ΔDEF) similar?

All triangles have the same three sides. The ratio between each pair of sides is 4x/x = 4. The triangles through SSS~ are similar because the three pairs of sides are proportional.

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The absolute value function on the graph is the one in option D.

y = |x| + 1

On the graph we can see an absolute value function that has a vertex at (0, 1) and a slope of 1.

Remember that an absolute value function with a slope of 1 with a vertex at (h, k) can be written as.

y = |x -h| + k

So, knowing that the vertex is at (0, 1) we conclude that the absolute value function is:

y = |x| + 1

Thus the correct option is D.

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The p-value for a lower tail test with a test statistic z of zero is 1, meaning that the probability of obtaining a result at least as extreme is 100%.

The lower tail test is a type of hypothesis test used to determine if a sample of data comes from a population with a certain mean or below. The test statistic z is used to calculate the p-value of the test, which is the probability of obtaining a result at least as extreme as the one observed. In this case, the test statistic z is zero, so the p-value of the test is 1, meaning that the probability of obtaining a result at least as extreme is 100%. To calculate this, the z-score is determined by subtracting the mean of the population from the sample mean and dividing by the standard deviation of the population. Then, the cumulative probability is calculated by finding the area under the normal distriabution curve from negative infinity to the z-score obtained from the calculation. The p-value is then equal to the cumulative probability. In this case, the p-value is 1 since the z-score is zero.

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The values of the constants in the polynomial are a = 1, b = 0, c = 1 and d = -2

A polynomial is a mathematical expression involving a sum of powers in one or more variables, with coefficients that are real numbers.

The variables in a polynomial are typically represented by letters such as x and y, and the powers of the variables are represented by whole numbers.

We have polynomial (x – 2)(x² + 1) – x(x – 3), in order to write it in the form ax³ + bx² + cx + d,  we need to expand the expression. That is:

(x – 2)(x² + 1) – x(x – 3) =  (x² – 2)(x + 1) – x(x – 3)

                                      = x²(x + 1)  – 2(x + 1) – x(x – 3)

                                      = x³ + x² – 2x -2  – x² + 3x

                                      = x³ + x - 2

Thus, the values of a, b, c, and d are a = 1, b = 0, c = 1 and d = -2

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Th equation is linear at  -2 < x < 0 and 2 < x < 4.

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. Because of this, it is referred to as a "linear equation."

Given graph,

to find the intervals where function is linear,

for linearity ,

Linearity is the property of a mathematical relationship (function) that can be graphically represented as a straight line. Proportionality and linearity are closely linked concepts.

from graph we find that the intervals at which  the function is linear are,

(-2, 0) (0, 2) and (2, -2) (4, 2)

te coordinates of x are

-2 and 0, 2 and 4

-2 < x < 0 and 2 < x < 4

Hence the  interval is the function strictly linear are,

-2 < x < 0 and 2 < x < 4

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The linear equation representing the data in the table is y = x - 3, therefore;

The slope, m = 1
The y-intercept, c = -3

A linear equation is an equation of the form y = m·x + c, in which the highest index of the variables is 1, and the graph of the ordered pairs obtained using the equation is a straight line.

The first difference of the y-variable is constant and each next value the x-variable increases by 1, therefore, the relationship is a linear relationship.

The slope, m, is therefore;

m = (-3 - (-4))/(0 - (-1)) = 1

The equation of the line that represents the graph of the data in the table using the point (3, 0) is therefore;

y - (0) = 1·(x - 3) = x - 3

Therefore; y = x - 3

The above equation is in the slope-intercept form, y = m·x + c, with the slope, m = 1, and the y-intercept, c = -3

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The area of the triangle is 120 cm².

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Given that the base of the triangle is 12 cm and the hypotenuse is 32 cm.

The height of the triangle is 8 more than the base.

The height of the triangle is (12 + 8) = 20 cm.

The area of a triangle is 1/2 × base × height.

The area of the triangle is  1/2 × 12 × 20

= 12 × 10

= 120cm²

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Answer:

Incorrect

Step-by-step explanation:

60 is the lowest common multiple of 12 and 15, not the greatest common factor.

The greatest common factor of 12 and 15 is 3, not 60.

Answer:

see attached

Step-by-step explanation:

The graph that  best represents the line of best fit for this data is given below.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Given:

The scatter plot below shows the relationship between the temperature, in degrees Fahrenheit, at a football game and the number of cups of hot chocolate sold during the game.

The table for calculation and plot are given in the attached image.

The line of the best fit for the scatter plot is ŷ = -14.15584X + 1144.93506

Therefore, the line of the best fit is ŷ = -14.15584X + 1144.93506.

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Answer: 9,800

Step-by-step explanation: $35 X 40h (hours) = $1,400 x 7m (months) = 9,800