What is the domain of the function of y=√x+8 -7

Answer:

x=50

Step-by-step explanation:

∠a+101=151 (ext. ∠)

∠a=50

x=∠a (alt ext. ∠)

x=50

The value of x is 6 and the measure of ∠C is 86 degrees

The complete question is added as an attachment

Given that:

ABCDE ~ LMNOP

It means that we have the following equivalent ratio

ED : BC = PO : MN

This gives

8 : 6 = 12 : x

Express as fraction

6/8 = x/12

Multiply both sides by 12

12 *  6/8 = x

Evaluate

9 = x

Rewrite as

x = 9

Also

ABCDE ~ LMNOP implies that the corresponding angles are equal

The corresponding angle of C is N

And, we  have:

N = 86

This implies that

C = 86

Hence, the value of x is 6 and the measure of ∠C is 86 degrees

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Answer:

6.21 is the radius I believe

Step-by-step explanation:

Answer:

It would be 11.

Step-by-step explanation:

The equation for the surface area of a sphere is 4πr^2, so lets reduce the answer to get the value of r, the radius.

484π = 4πr^2

Divide by π

484 = 4r^2

Divide by 4

121 = r^2

Lastly, square root each side

11 = r

r is 11.

1. ∠J = 68° and ∠K = 44°

2. ∠C = 37° and ∠E = 37°

3. ∠Y = 81°

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

1. Given, JK = KL, So, Corresponding angles are equal, ∠L = ∠J

∠J = 68°

Sum of all angles equal to 180° = ∠J + ∠K + ∠L

= 68° + ∠K + 68° = 180°

So, ∠K = 44°

2. Given, CD = DE, So, Corresponding angles are equal, ∠C = ∠E

Sum of all angles equal to 180° = ∠C + ∠D + ∠E

∠C + 106° + ∠C = 180°

∠C = 37° So, ∠E = 37°

3. Given, XY = 12cm, ∠X = 72° and ∠Z = 27°

Sum of all angles equal to 180° = ∠X + ∠Y + ∠Z

72° + ∠Y + 27° = 180°

∠Y = 81°

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Triangle: According to the question the value of each variable is 1. ∠J = 68° and ∠K = 44°, 2. ∠C = 37° and ∠E = 37° and 3. ∠Y = 81°

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

1. Given, JK = KL, So, Corresponding angles are equal, ∠L = ∠J
∠J = 68°
Sum of all angles equal to 180° = ∠J + ∠K + ∠L
= 68° + ∠K + 68° = 180°
So, ∠K = 44°
2. Given, CD = DE, So, Corresponding angles are equal, ∠C = ∠E
Sum of all angles equal to 180° = ∠C + ∠D + ∠E
∠C + 106° + ∠C = 180°
∠C = 37° So, ∠E = 37°
3. Given, XY = 12cm, ∠X = 72° and ∠Z = 27°
Sum of all angles equal to 180° = ∠X + ∠Y + ∠Z
72° + ∠Y + 27° = 180°
∠Y = 81°

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The transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a reflection across the y-axis followed by a translation 3 units right and 5 units down.

Reflect polygon ABCDE across the y-axis. This will result in a new polygon with the same shape as ABCDE, but with all the points reflected across the y-axis. The new polygon will have vertices at (-2, 8), (-4, 12), (-10, 12), (-8, 8), and (-6, 6).

Translate the reflected polygon 3 units right and 5 units down. This will result in a new polygon that is congruent to MNOPQ. The new polygon will have vertices at (1, -13), (-1, -17), (-7, -17), (-5, -13), and (-3, -11).

Therefore, the sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a reflection across the y-axis followed by a translation 3 units right and 5 units down.

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Answer:

\(y=3\sin(2x)\)

Step-by-step explanation:

To find the equation of a sinusoidal curve, you need to know the period and the amplitude. The amplitude can clearly be seen to be at 3, while the period is just \(\pi\). Since there isn't any vertical or horizontal shift, the equation is simply:

\(y=3\sin(2x)\)

Hope this helps!

Mid-point formula is used to determine the mid-point of a line segment. An example of the mid-point formula is discussed below.

What is the mid-point formula?

The centre of a line segment is known as the midpoint. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

The formula used to find this mid-point of the line is called the mid-point formula.

\((x_{m},y_{m} ) =(\frac{x_{1} +x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})\)

where, \((x_{m} ,y_{m})\) = mid-point coordinates

            \((x_{1} ,y_{1})\)   = first point coordinates

            \((x_{2} ,y_{2})\)   = second point coordinates

An example of mid-point formula is given below.

Find the mid-point of a line whose end coordinates are (3,5) and (6,10).

From the question, we can write,

                \((x_{1} ,y_{1}) = (3,5)\\(x_{2} ,y_{2}) = (6,10)\)

Then as discussed above, we can find the mid-point using the formula,

             \((x_{m},y_{m} ) =(\frac{x_{1} +x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})\)

                \(x_{m} = \frac{x_1 + x_2}{2} = \frac{3+6}{2} = 4.5\)

                \(y_{m} = \frac{y_{1} + y_{2}}{2} = \frac{5+10}{2} = 7.5\)

Therefore the mid-point of the given line found using the mid-point formula is (4.5, 7.5).

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Answer:

D (3/2

Step-by-step explanation:

Simplify both side of the equation: 5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

(5)(4x) + (5)(−10) + 10x = (4)(2x) + (4)(−3) + (2)(x) + (2)(−4)

Then you distribute: 20x + −50 + 10x = 8x + −12 + 2x + −8

(20x + 10x) + (−50) = (8x + 2x) + (−12 + −8)

Combine like terms: 30x + −50 = 10x + −20

30x - 50 = 10x - 20

Subtract 10x from both sides: 30x − 50 − 10x = 10x − 20 − 10x

20x - 50 = -20

Add 50 to both sides: 20x - 50 + 50 = -20 + 50

20x = 30

Divide both sides by 20: 20x / 20 = 30 / 20

x = 3/2

Boom! I hope that helped :)

Answer:

112

Step-by-step explanation:

The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units

The given parameters are:

qs = 2

qt = 1.2

tt' = 1.5

ss' = x

To calculate the value of x, we make use of the following equivalent ratio

ss' : qs = tt' : qt

So, we have:

x : 2 = 1.5 : 1.2

Express as fractions

x/2 = 1.5/1.2

Multiply both sides by 2

x = 2 * 1.5/1.2

Evaluate the product

x = 2.5

Hence, the value of x is 2.5 units

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Answer:

2.5

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

No1.

let x represent number of ice cream cones

80=12+4x

80-12=4x

68=4x

x=68/4

x=17

Check:

12+4(17)

=12 +68=80

3. 5x+14=9

collect like terms

5x=9-14

5x=-5

x=-5/5

x= -1

check:

5(-1)+14= -5+14 =9

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The integer -5 represents Kyle’s location relative to Nadim’s location on the game board.

It is given in the question that Kyle and Nadim are on the same space on a board game they are playing. Kyle moves back 2 spaces in one turn and moves back 3 more spaces in his second turn while Nadim remained in the same place.

We have to find the integer that represents Kyle’s location relative to Nadim’s location on the game board.

We usually denote going ahead by the positive sign and the going back by the negative sign.

Hence, Kyle moving back 2 spaces and then again moving back 3 spaces is equal to moving back 5 spaces which will be represented by the integer -5.

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Answer:

1. 7.5

2. 0.75

3. 0.075

4. 0.375

Step-by-step explanation:

Yw, and have a good day to everyone who reads this <3 :)

The value of y when x is 1 is -2

Linear also interpretes as straight and a graph is a diagram which shows a connection or relation between two or more quantity.

We can also define straight graph which is drawn on a plane connecting the points on x and y coordinates. It is a graph of a linear equation.

To calculate any value of x or y we can use the graph to determine the value of x if y is given and the value of y if x is given

Therefore from the graph;

when x is 1 , the reading of y to the straight line is -2. Therefore the value of y is -2.

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Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Diamonds are incorporated in solidified magma called kimberlite, which originates deep within the Earth.

Kimberlite is a volcanic rock formed in the Earth's mantle and brought to the surface through volcanic eruptions. The high pressure and temperature conditions in the mantle allow for the formation of diamonds from carbon atoms. When kimberlite eruptions occur, they transport diamonds and other mantle-derived materials to the Earth's surface, where they eventually cool and solidify.

The discovery of diamonds in kimberlite pipes has played a significant role in the development of the diamond mining industry. These pipes serve as primary sources for diamond extraction and are found in various locations around the world, including South Africa, Russia, and Canada. The study of kimberlites also provides valuable information about the Earth's mantle composition and its geodynamic processes. Overall, the relationship between diamonds and kimberlite is an essential aspect of both the gemstone industry and the study of the Earth's interior.

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Answer:

First Monomial

Second Trinomial

Third Mononial - Constant

Fourth Trinomial

Fifth Binomial

The ratio of book price to number of pages for the ordered pairs a, b , and c are:

The ratio of book price to number of pages can be evaluated for each ordered pairs as follows;

Therefore, ratio of book price to number of pages for the ordered pairs a, b , and c are:

a = 0.05

b = 0.05

c = 0.043

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Answer:

Part A:

B. rhombus

Part B:

C. Opposite sides are parallel and congruent

When salt is added to water, the boiling point of water is increased. The boiling point elevation depends on the concentration of salt added. The addition of salt increases the boiling point of water.

The extent of the increase in boiling point is directly proportional to the amount of salt added. Boiling point is defined as the temperature at which the vapor pressure of a liquid is equal to the pressure exerted on it by the surrounding atmosphere.

In layman's terms, this means that a liquid boils when its vapor pressure equals atmospheric pressure. Boiling point of a liquid can be increased or decreased by the addition of solutes such as salt.When a solute such as salt is added to water, the boiling point of water increases due to the phenomenon of boiling point elevation.

This is because the solute particles in the water interfere with the formation of water vapor molecules at the surface of the liquid. As a result, more energy is required to boil the water, which means that the boiling point is elevated.

The amount of elevation is directly proportional to the concentration of salt added. In short, the addition of salt to water increases the boiling point of water.

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The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer:

By 25%

Step-by-step explanation:

150-120=30 30/120=1/4 1/4=25%

Check:

120x.25=30 30+120=150

Hope this helps

Whats ur favortie pokemon? (:

Answer:

Below

Step-by-step explanation:

The equations are:

● y = 8x + 5

● -y = -8x + 5 => y = 8x - 5

Both lines have the same slope wich means that they are parallel

Answer:

A: coincident

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

if you want a explanation ask for it :)

The given LP problem can be solved using graphical and Big M methods. The graphical solution involves plotting the constraints and determining the feasible region and optimal solution. The Big M method involves introducing artificial variables and using a two-phase approach to find the optimal solution. In this case, the LP problem has a unique optimal solution.

(a) To solve the problem graphically, we first plot the constraints on a graph. The first constraint, 3x1 + x2 ≥ 4, can be represented by a line with points (0, 4) and (4/3, 0). The second constraint, 2x1 + x2 ≤ 4, is represented by a line with points (0, 4) and (2, 0). The third constraint, x1 + x2 = 3, is a straight line passing through (3, 0) and (0, 3). The feasible region is the intersection of the shaded regions determined by these three constraints. We can then find the optimal solution by evaluating the objective function at the corners of the feasible region. The maximum value occurs at the corner (4/3, 0), where z = 4/3.

(b) To solve the LP problem using the Big M method, we introduce artificial variables to convert the inequalities into equalities. We then use a two-phase approach to find the optimal solution. In the first phase, we minimize the sum of the artificial variables by adding them to the objective function with a large coefficient (M). The constraints are solved to obtain an initial feasible solution. In the second phase, we remove the artificial variables and solve the modified objective function. In this case, since the initial feasible solution has no artificial variables in the optimal solution, the second phase is not necessary. The optimal solution obtained from the first phase is x1 = 1, x2 = 2, with z = 0.

(c) In the graphical solution, the basic solutions occur at the corners of the feasible region. The basic solution (4/3, 0) is feasible, and the objective function value at this point is z = 4/3. In the Big M method, the basic solution obtained in the first phase is x1 = 1, x2 = 2, which is also feasible. The objective function value at this basic solution is z = 0.

(d) The LP problem does not have alternative optimal solutions because there is only one feasible region and the objective function has a unique maximum value. Therefore, the problem does not suffer from infeasibility or unboundedness.

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Answer:

(-2, -2)

Step-by-step explanation:

The point U, when rotated 270 degrees, will end up at the point (-2, -2) on the graph.