My Nephew's final test is almost here so i want to help him study for it. will give 2 brainless

*Tell me The Most important math Words you need to know in 8th grade so i can help him*

5√2 is the value of x in the given triangle. Therefore, the correct option is option A among all the given options.

A polygon having three edges & three vertices is called a triangle. It can be considered one of the fundamental geometric shapes. A unique triangle and plane (i.e., the two-dimensional Euclidean space) are determined by any three non-collinear points in Euclidean geometry. In other words, every triangle has a location in a plane, and there is just one level that contains that triangle.

√2×√50 = √100 = 10.

1×√50 = √50 = 5√2

5√2 since √50 = √25×√2 = 5√2

Therefore, the correct option is option A among all the given options.

To know more about triangle, here:

https://brainly.com/question/2773823

#SPJ1

Your question is incomplete but most probably your full question was,

The solution to the equation is x = 10 or x = -2.

An equation refers to a mathematical expression showing that two expressions are equal.

It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).

To solve for x, we shall start with the given equation:

x + 6 = √(2x + 29) + 9

Subtract 9 from both sides:

x - 3 = √(2x + 29)

Square both sides:

[tex](x - 3)^2[/tex] = 2x + 29

Expand the left side:

[tex]x^2[/tex] - 6x + 9 = 2x + 29

We then subtract 2x and 9 from both sides:

[tex]x^2[/tex] - 8x - 20 = 0

Next, actor the quadratic equation:

(x - 10)(x + 2) = 0

Therefore, the equation x = 10 or x = -2

Learn more about equation at brainly.com/question/29174899

#SPJ1

The evaluation of the function gives 16.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To evaluate the  function f(x) =80/4x-3, we need to substitute the value of the input (i.e. x = 2). Thus:

f(x) = 80/(4x-3)

f(2) = 80/(4*2 - 3)

f(2) = 80/(8 - 3)

f(2) = 80/5

f(2) = 16

Learn more about function on:

brainly.com/question/1415456

#SPJ1

10 times will the smaller gear turn.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Since the smaller gear has 10 teeth and the bigger gear 20, the smaller gear will turn twice for every rotation of the larger gear (20/10=2).

Therefore, if the larger gear rotates five times, the smaller gear will rotate two times five times, or ten times. The smaller gear will thus rotate 10 times.

So, if the bigger gear turns around 5 times, the smaller gear will turn around 5 x 2 = 10 times.

Therefore, the smaller gear will turn 10 times.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ1

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

[tex] - 16 = a - 19[/tex]

[tex]a = - 16 + 19[/tex]

[tex]a = 3[/tex]

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

The effect of increasing the distance e between charged object is that , the electric force decreases because the distance has an indirect relationship to the force.

Coulomb's law states that the force between two charged bodies is directly proportional to the product of the charge and inversely proportional to the square of the distance between them.

Coulomb's law can therefore be expressed mathematical as;

F = Q1Q2/r²

where r is the distance between charge Q1 and Q2

This means that since the force is inversely proportional to the square of distance, force will decrease as distance is increasing.

learn more about coulomb's law from

https://brainly.com/question/506926

#SPJ1

Answer: 3.1

Step-by-step explanation: they are giving you the diameter so you halve it then you multiply it my 3.14 (pi) then you round it to the nearest tenth which is the 1 so you look to the left and it's not bigger than 5 so you round down so it stays as a 1

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

Find out more on the coupon rate at https://brainly.com/question/28528712

#SPJ1

Answer:

C

Step-by-step explanation:

To find the sum of the rational expressions, we need to add the two expressions and simplify if possible:

(2x-1)/(7x+x+2) + (x-2)/(8x-2)

Simplifying the denominators, we get:

(2x-1)/(8x+2) + (x-2)/(8x-2)

Now, we need to find the LCD, which is (8x+2)(8x-2) = 64x²-4:

[(2x-1)(8x-2) + (x-2)(8x+2)] / (64x²-4)

Simplifying the numerator, we get:

[16x²-4x-16x+4+8x²-2x+16x-4] / (64x²-4)

Combining like terms, we get:

(24x²-2) / (64x²-4)

Factoring out a 2 from the numerator and denominator, we get:

2(12x²-1) / 2(32x²-2)

Simplifying further, we get:

(12x²-1) / (16x²-1)

Therefore, the sum of the rational expressions is:

12x²-1

-----------

16x²-1

So, the answer is option C.

Answer:

Answer = 30° , 90° , 150°

Step-by-step explanation:

Hope it helps you

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

One of the stages in Cooley's looking-glass self theory is A. We imagine how we look to other people.

As per Cooley's theory, our self-concept is shaped through a social interchange in which we envision how others perceive us, evaluate that perception and then deliberate on how those assessments influence our self-esteem.

All these components are part of the "looking-glass self" process, consisting of three stages: 1) fantasising about how one appears to others 2) pondering over the judgments made based on appearance and 3) evolution of the self-image influenced by such judgements. Notably, imagining one's outward persona forms an integral element of this psychological principle.

Find out more on Cooley's theory at https://brainly.com/question/5353785

#SPJ1

The appropriate measure of variability for this data set is the IQR, and its value is 2. The mean and median are measures of central tendency, not measures of variability. The range may not be the best measure of variability for this data set because it is influenced by extreme values.

The given data set is:

2, 10, 10, 12, 12, 20

To determine the appropriate measure of variability, we need to consider the spread or dispersion of the data. In this case, we can see that the range,

20 - 2 = 18.

A better measure of variability for this data set is the interquartile range (IQR), which is the range of the middle 50% of the data. To find the IQR, we first need to find the median of the data:

2, 10, 10, 12, 12, 20

The median is the middle value when the data set is arranged in order, which is 11. We can then divide the data set into two halves:

2, 10, 10 and 12, 12, 20

The lower half has a median of 10, and the upper half has a median of 12. The IQR is the difference between these medians:

IQR = 12 - 10 = 2

Therefore, the appropriate measure of variability for this data set is the IQR, and its value is 2. The mean and median are measures of central tendency, not measures of variability. The range may not be the best measure of variability for this data set because it is influenced by extreme values.

To know more about IQR follow

https://brainly.com/question/28922347

#SPJ1

Answer:r=3sinθ/4cos^2 θ.

Step-by-step explanation:

To convert to polar coordinates, we use the relationships

xy=rcosθ=rsinθ.

Substituting these into the given equation, we find

3y3rsinθ3rsinθ=4x2=4(rcosθ)2=4r2cos2θ

Divide each side of the equation by the common factor r to get

The mean temperature of orange juice is 5 degrees greater than the mean temperature of water.

The mean is a measure of central tendency that represents the average value of a dataset. It is calculated by adding up all the values in the dataset and then dividing by the total number of values.

According to the graph, the different temperatures of water and orange juice on different time can be taken into consideration.

Sum of Temperature of Water at different time

= 55 + 62 + 69 + 71 + 79 + 75

= 441 degrees

Mean Temperature of Water

= 441/6

= 68.5 degrees

Sum of Temperature of Orange juice at different time

= 59 + 65 + 72 + 79 + 85 + 81

= 441 degrees

Mean Temperature of Orang juice

= 441/6

= 73.5 degrees

Difference = 73.5 - 68.5 = 5 degrees

Hence, the mean temperature of orange juice is 5 degrees greater than the mean temperature of water.

To know mean temperature here

https://brainly.com/question/31028968

#SPJ1

The probability that both utensils are spoons is 0.34.

The total number of utensils in the drawer is 18 + 12 = 30.

The probability of choosing a spoon on the first draw is 18/30, since there are 18 spoons in the drawer out of 30 utensils total.

After the first spoon is drawn, there are 17 spoons and 30 - 1 = 29 utensils left in the drawer.

The probability of choosing another spoon on the second draw is 17/29, since there are 17 spoons left in the drawer out of 29 utensils total.

To find the probability of both events happening (drawing two spoons), we need to multiply the probabilities of each event:

(18/30) * (17/29) = 0.34

Therefore, the probability of randomly choosing two spoons from the drawer is approximately 0.34 or 34%.

To learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: [tex]g(x) = -\sqrt{9(x - 1)} + 2[/tex]

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

[tex]g(x) = -\sqrt{9(x - 1)} + 2[/tex]

Read more on translation here: brainly.com/question/4521517

#SPJ1

The angles and percentages have been calculated as shown below.

A pie chart for the information about the different make of cars is shown below.

For the total number of car makes, we have the following:

Total make of cars = 12 + 8 + 8 + 2 + 10

Total make of cars = 40.

Next, we would determine the angles and percentage as follows;

Toyota

12/40 × 360 = 108°

12/40 × 100 = 30%.

Nissan

8/40 × 360 = 72°

8/40 × 100 = 20%.

Datsun

8/40 × 360 = 72°

8/40 × 100 = 20%.

Volvo

2/40 × 360 = 18°

2/40 × 100 = 5%.

Peugeot

10/40 × 360 = 90°

10/40 × 100 = 25%.

Read more on pie chart here: brainly.com/question/23608372

#SPJ1

The angle of Z is 63.2 degree.

The word isosceles comes from the Ancient Greek term isosceles which literally means "equal-legged." An isosceles triangle has two of its sides of equal length, which means that the angles opposite these sides would also be of equal measure.

In Triangle ΔXYZ,

∠Y = 83°, XY = 9 and XZ = 10

To find the angle of Z

Using Sine rule :-  sine rule relates the sine of each angle to length of        opposite side.

[tex]\frac{Sin A}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]

Where, A, B , C are the angles of the triangles and a, b, c are the side of the triangles

Then, Apply it:

[tex]\frac{Sin83}{10}=\frac{SinZ}{9}[/tex]

Using cross multiplication:-

Sin 83 × 9 = Sin Z × 10

Sin Z = (Sin 83 × 9)/10

Sin Z = 0.893

∠Z = [tex]Sin^-^1(0.893)[/tex]

∠Z =  63.2°

Learn more about Angles at:

https://brainly.com/question/28451077

#SPJ1

The solution of the differential equation is y + e²ˣ = Ceˣ, if Ceˣ > 0

or -y - e²ˣ = Ceˣ, if Ceˣ < 0.

The solution of the differential equation is calculated as follows;

dy/dx = e²ˣ + y

Apply the method of separating viables;

dy/dx = e²ˣ + y

dy/(y + e²ˣ) = dx

Integrate both sides;

∫ dy/(y + e²ˣ) = ∫ dx

ln|y + e²ˣ| = x + C

To solve for y, we need to exponentiate both sides;

|y + e²ˣ| = e^(x+C) = Ceˣ

The final solution becomes;

y + e²ˣ = Ceˣ, if Ceˣ > 0

or

-y - e²ˣ = Ceˣ, if Ceˣ < 0

Learn more about differential equation here: https://brainly.com/question/28099315

#SPJ1

The values of the variables x and y are;

1, x = -y and y = 5. Option D

2. x= 1 and y = -1. Option A

Using the substitution method of solving simultaneous equations, we have;

4x + 7y = 19

y - x = 9

Now, make 'y' the subject from equation 2

y = 9 + x

Substitute the equation into equation 1

4x + 7(9 + x)= 19

expand the bracket, we have;

4x + 63 + 7x = 19

collect the like terms

11x = -44

x = -4

then,

y = 9 - 4 = 5

-3x + y = -4

4x + 3y = 1

make y' the subject from equation 1

y =-4 + 3x

Substitute the value

4x + 3(-4 + 3x) = 1

expand the bracket

4x - 12 + 9x = 1

13x = 13

x = 1

Substitute the value

y = -4 + 3

y = -1

Learn about simultaneous equations at: https://brainly.com/question/16863577

#SPJ1

The length of piece of fabric is 6 cm.

Since, Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, Karen was cutting out some fabric for a friend. She cut a piece that was 6 centimeters wide and had an area of 36 square cm.

Here, area of rectangular shaped fabric is Area =Length × Width

36=Length × 6

Length =6 cm

Therefore, the length of piece of fabric is 6 cm.

Learn more about the area here:

brainly.com/question/27683633.

#SPJ1

Note that the graph of WXY when reflected to W'X'Y' is attached accordingly.

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a fixed point set; this set is known as the axis or plane of reflection. A figure's reflection image is its mirror image in the axis or plane of reflection.

A line of reflection is required to accomplish a geometric reflection; the resulting orientation of the two figures is opposite.

The distance between the corresponding portions of the figures is the same. Ordered pair rules reflect along the x-axis (x, -y), the y-axis (-x, y), and the line y=x (y, x).

Learn more about reflection:
https://brainly.com/question/29099002
#SPJ1

The larger cube is made up of 384 small cubes, each with a volume of 1/4.

We have,

If we assume that 96 is the total volume of a larger cube made up of smaller cubes, and each small cube has a volume of 1/4.

We can make the following calculation:

Let x be the number of small cubes that make up the larger cube.

The volume of the larger cube = Volume of each small cube x Number of small cubes

96 = (1/4) x

Solving for x.

Multiply 4 on both sides.

96 x 4 = x

x = 384

Therefore,

The larger cube is made up of 384 small cubes, each with a volume of 1/4.

Learn more about cubes here:

https://brainly.com/question/11168779

#SPJ1

Answer: B. (1, 8)

Step-by-step explanation:

Hope this helps! :)

-63.63 m/s is the rate of change of the distance between the plane and the car when both are maximum speed and the plane is ahead by 70m?

Let's use the Pythagorean theorem to relate the distance between the car and the plane to their individual distances traveled. Let d be the distance traveled by the car, then the distance traveled by the plane is d + 70 (since the plane is ahead by 70m). Then, the distance between them is given by:

distance = [tex]\sqrt{d^{2}+500^{2} }[/tex] (using Pythagorean theorem)

Now, let's differentiate both sides with respect to time (t) to find the rate of change of the distance between the car and the plane:

d(distance)/dt = (1/2)[tex](d^{2} +500^{2} )^{(-1/2)}[/tex] * (2d/dd)(dd/dt)

where the first term on the right side is the derivative of the square root expression and the second term is the derivative of d with respect to time.

Now we need to find d in terms of t, given the maximum speeds of the car and the plane. Let's assume that they both start at time t = 0 and are racing for a time of T. Then, we can write:

d = 200T (distance traveled by the car)

d + 70 = 300T (distance traveled by the plane)

Solving for T, we get:

T = 70/100 = 0.7 hours = 42 minutes

Substituting T back into the expressions for d, we get:

d = 200(0.7) = 140 km

d + 70 = 300(0.7) = 210 km

Now we can substitute these values into the expression for the rate of change of the distance between the car and the plane:

d(distance)/dt = (1/2)[tex](d^{2} +500^{2} )^{(-1/2)}[/tex]  * (2d/dd)(dd/dt)

d(distance)/dt = (1/2)[tex](140^{2} +500^{2} )^{(-1/2)}[/tex] * (2*140/60)(300 - 200)

d(distance)/dt = -63.63 m/s

Therefore, the rate of change of the distance between the car and the plane when both are at maximum speed and the plane is ahead by 70m is approximately -63.63 m/s. Note that the negative sign indicates that the distance between them is decreasing, since the plane is ahead of the car.

To learn more about distance here:

https://brainly.com/question/15172156

#SPJ1