points A and B are shown on a coordinate plane
point A is at (-8, 6) point B is at (-2, -2)
What is the length of AB and the coordinates of its midpoint?
AB= __ units
the midpoint of AB is (_,_)

Points A And B Are Shown On A Coordinate Plane Point A Is At (-8, 6) Point B Is At (-2, -2) What Is The

Answers

Answer 1

The length of AB would be = 10 units and the midpoint of segment AB would be (-5, 2).

What are the distance formula and midpoint of a segment?

The distance formula is a mathematical formula that can be used to determine the distance between two points in a coordinate plane. The distance between two points (x1, y1) and (x2, y2) is given by the formula:

[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

The midpoint of a segment is a point that is exactly in the middle of a line segment. Given the endpoints of the line segment, (x1, y1) and (x2, y2) the coordinates of the midpoint, (x, y) can be calculated using the following formulas:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

The given points are (-8, 6) and (-2, -2).

Given two points A(x1, y1) = (-8, 6) and B(x2, y2) = (-2, -2), we can use the distance formula to find the length of the line segment AB. The distance formula is:

[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\\\d= \sqrt{((-2) - (-8))^2 + ((-2) - (6))^2}\\\\d=\sqrt{36 + 64}\\\\d=\sqrt{100}\\\\d=10[/tex]

The length of AB would be 10.

To find the coordinates of the midpoint of AB, we can use the midpoint formula:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

Plugging in the values for A and B, we get:

x = (-8 + (-2)) / 2 = -5

y = (6 + (-2)) / 2 = 2

The coordinates of the midpoint of AB are (-5, 2).

Hence, the length of AB would be = 10 units and the midpoint of segment AB would be (-5, 2).

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Related Questions

Find the limits given based on the graph.​

Answers

Limits of the functions shown in the graph are limx +f(x) = 0 and limx -f(x) = 0. The link between a group of inputs, each of which has a related output, is known as a function.

what are functions ?

The study of mathematics covers a variety of topics, including numbers, formulas and related structures, forms and the environments in which they exist, quantities and their variations, and the environments in which they exist.  An easy way to think of a function is as a relationship between inputs and outputs, where each input leads to a single, distinct result. Each function has a respective domain and a codomain, or scope. Functions are typically represented by the letter f. (x). input is x. The accessible functionalities fall into four categories. based on the following elements: on functions, one-to-one functions, many-to-one functions, and within functions.

given

We first take into account how f(x) behaves as x increases unboundedly for the function in the graph below. As x can always increase because the function has no limit, it can never be zero. However, the function's behavior when x rises.

Similar to how x decreases without bound or how we move leftward on the graph, f(x) also seems to be approaching zero.

So in this case we can write:

limx → +∞f(x) = 0

limx → - ∞f(x) = 0

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A circle of radius 8 cm is cut into 6 parts
of equal size, as shown in the diagram.
Calculate the area of each part, giving
your answer correct to 2 decimal places.

Answers

To find the area of each part of the circle, we first need to find the total area of the circle. The formula for the area of a circle is A = πr^2, where A is the area, r is the radius, and π (pi) is a constant approximately equal to 3.14. Plugging in the given values, we find that the total area of the circle is:

A = π * 8^2 = 3.14 * 64 = 201.12 cm^2

Since the circle is divided into 6 equal parts, the area of each part is equal to the total area of the circle divided by 6:

Area of each part = 201.12 cm^2 / 6 = 33.52 cm^2

Rounded to 2 decimal places, the area of each part is 33.52 cm^2.

Answer:  To calculate the area of each part of the circle, we need to first find the total area of the circle and then divide it by the number of parts.

The formula for the area of a circle is A = πr², where A is the area, r is the radius, and π is approximately equal to 3.14.

In this case, the radius of the circle is 8 cm, so the area of the circle is A = π * 8² = 3.14 * 64 = 200.96 cm².

Since the circle is divided into 6 parts of equal size, the area of each part is equal to the total area of the circle divided by the number of parts. Therefore, the area of each part is 200.96 cm² / 6 = 33.49 cm².

Rounded to 2 decimal places, the area of each part is 33.49 cm² ≈ 33.50 cm².

Step-by-step explanation:

The graph shows money in dollars as a function of time
in days. Write an equation for the function, and
describe a situation that it could represent. Include the
initial value, rate of change, and what each quantity
represents in the situation.

Answers

Each quantity represents in the situation are y is  overall financial time (day). 10 times the daily wage earned. 25 times the money's initial worth.

What each quantity represents in the situation.

The graph shows money in dollars as a function of time ,an equation for the function, and describe a situation that it could represent. Include the

initial value, rate of change

The slope is equal to 10 10 (simplify) = 175-75 / 15-5 100

y - 75 = 10(x - 5) (x - 5)

4 - 75 = 10x - 50 y - 75 + 75 = 10x - 10 + 75 y = 10x + 2.5

If you start with $25 and can make $10 every day, money do you have after x days are

y = overall financial time (day).

10 times the daily wage earned.

25 times the money's initial worth.

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Q.
The surface area of a cube is
37.5 cm². What is the area of
each side of the cube?

Answers

The total surface area of the cube will be 37.5 cm²

What is the surface area of a cube?A three-dimensional shape's surface area is the sum of all of its faces. Finding the area of each face and adding them together gives us the surface area of a shape.Surface area analysis refers to the measurement of a particle's available surface. It is important because it is the means by which a solid interacts with its surroundings, whether they are gases, liquid, or other solids.

Here the edge of the cube is given

Edge = 2.5 cm

We have to find out the total surface area of the cube

Total surface area of cube = 6a², where a is the edge of the cube

                                            = 6 × 2.5 × 2.5

                                            = 37.5 cm²

Hence, the total surface area of the cube will be 37.5 cm²

The complete question is,
Find the surface area of a cube of Edge 2.5 CM​

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Company A charges 125$ annual fee plus 7$ per hour car share fee. Company B charges 110$ plus 10$ per hour. What is the minimum number of hours that a car share needs to be used per year to make company a better deal?

Answers

Answer:

6

Step-by-step explanation:

Let the number of hours be [tex]x[/tex].

[tex]125+7x<110+10x \\ \\ 15+7x<10x \\ \\ 15<3x \\ \\ x>5[/tex]

So, the minimum is 6 hours.

2 points How Did I Do? The cost of renting a car is $42 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=42+0.25x , where x is the number of miles traveled.

Answers

The equation to represent the cost of renting the car, given the cost per week and the cost per mile, is y = 42 + 0.25x.

How to formulate the equation ?

The total cost of renting the car at any given point, would be:

= Cost to rent per week + ( Cost per mile x Number of miles driven)

If we assume the number of miles driven is denoted by x, then the equation becomes :
= 42 + 0. 25 x

If we further take y to be the total cost, the equation then becomes :

y = 42 + 0. 25 x

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Simplify the expression 3a² + 1/4a + 3 + a² + 4 + 1/4a

Answers

The Correct answer while simplifying the given algebraic expression is: 4a²+1/2a+7

What are Algebraic Expressions?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Method to simplify any algebraic Expressions are :

By multiplying factors, remove any grouping symbols like brackets and parenthesis.If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants together

Given:

=3a²+1/4a+3+a²+4+1/4a

=(3a²+a²)+(1/4a+1/4a)+(3+4)

=4a²+1/2a+7

So the Answer is

=4a²+1/2a+7

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Five people each working eight hours a day can assemble 400 toys in a five day work week. What is the average number of toys assembled per hour per person?

Answers

Answer:

There are 5 people working and each person works 8 hours per day, so there are a total of 58 = <<58=40>>40 hours of work per day.

Over the course of the week, the total number of hours worked is 405 = <<405=200>>200 hours.

The total number of toys assembled is 400 and the total number of hours worked is 200, so the average number of toys assembled per hour per person is 400/200 = <<400/200=2>>2 toys per hour per person.      Answer:{2}.

Step-by-step explanation:

In which step was the addition property of equality applied?

Answers

Answer:

Step-by-step explanation:

Dans le calcul d'une somme, ou d'un produit, de deux nombres, on peut échanger la place de deux nombres. Dans le calcul d’une somme, ou d'un produit, de trois nombres (ou plus), on peut associer de différentes façons les nombres deux par deux. Pour calculer le produit d’une somme par un nombre, on peut calculer le produit de chacun des termes par ce nombre, puis calculer la somme des résultats obtenus.

Write an equation of the line passing through (- 5,5) and having slope - 4. Give the answer in slope-intercept form.
The equation of the line in slope-intercept form is:

Answers

Answer:

y = - 4x - 15

---------------------------

Slope-intercept form:

y = mx + b, where m is the slope, b is the y-intercept

Point-slope form:

y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point on the line

Use the point-slope form to find the equation and then convert it to slope-intercept form:

y - 5 =  - 4(x - (-5))y - 5 = -4(x + 5)y - 5 = - 4x - 20y = - 4x - 20 + 5y = - 4x - 15

Please help I was sick and missed out on class thank you.

Answers

Answer: slope=-5 and y-intercept=1

Step-by-step explanation:

The equation given is in slope-intercept form. Slope-intercept for is y=mx+b, where m is slope and b is y-intercept.

This gives m=-5 and b=1.

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of 12 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 58 bolts. The sample mean bolt length was 12.07 centimeters. The population standard deviation is known to be o=0.25 centimeters. what is the test statistic z? what is the p-value?

Answers

The test statistic from the factory population is 2.12. The p value is given as .017003.

How to solve for the test statistics

We have the following values to solve the problem with

n = 58

sample mean x = 12.07

standard deviation = 0.25 meters

u = length = 12

The formula is given by

[tex]z= \frac{x-u}{sd/\sqrt{n} }[/tex]

when we insert the values we would have:

[tex]z= \frac{12.07-12}{0.25/\sqrt{58} }[/tex]

z = 0.07 / 0.033

z = 2.12

we have to find the p value when z = 2.12

The p value is 0.017003 using a statistical calculator

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Which property is demonstrated below?
a times c = c times a


A.
associative property
B.
distributive property
C.
commutative property
D. identity property

Answers

Answer:

distributive property is your answer

Jocelyn has a collection of 100 coins. How many coins represent 25% of her collection?

Answers

25 coins represent 25 percent of Jocelyn's collection.

What is the percentage?

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.

given, Jocelyn has a collection of 100 coins.

100% of her collection represents = 100 coins

1 %  of her collection represents = 100/100 coins

1%  of her collection represents = 1 coin

thus,

25%  of her collection represents = 1*25 coins

25%  of her collection represents = 25 coins

therefore, 25 percent of the collection of Jocelyn represents 25 coins.

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Is the vertex of -x^2q-2x+10=0 parabola a maximum value or minimum value?

Answers

The vertex of the parabola -x² - 2x + 10 = 0 occurs at (-1,11), It is a maximum value.

Determine whether the parabola is maximum value or minimum value?

Given the equation of the parabola;

-x² - 2x + 10 = 0

First, the maximum of a quadratic function occurs at;

x = -b/a, if a is negative, the maximum value of the function is f( -b/2a)

f_max(x) = ax² + bx + c occurs at;

x = -b/2a

Now, find the value of x = -b/2a

Plug in a = -1 and b = -2

x = -( -2/2(-1) )

x = -( -2/-2) )

x = -( 1 )

x = -1

Hence;

f(x) = -x² - 2x + 10

f( -1 ) = -( -1 )² - 2( -1 ) + 10

f( -1 ) = -1 + 2 + 10

f( -1 ) = -1 + 12

f( -1 ) = 11

Therefore, maximum occurs at (-1,11).

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Akira is setting tables at the restaurant where she works. She starts with a pile of 85 napkins, and she places 6 napkins on every table she sets

Write an equation that shows how the number of napkins remaining, y, depends on the number of tables akira sets, x

Answers

Answer: y = 85 - 6x

Step-by-step explanation:

Number of napkins remaining: y

Number of tables set: x

Akira starts out with 85 napkins. So, every time she sets a table, she is losing 6 napkins. The steady rate of napkins lost can be written with the following expression, as she is losing 6 napkins per table.

[tex]-6x[/tex]

These napkins are being removed from the total of 85 napkins:

[tex]85 - 6x[/tex]

The above equation also expresses the number of napkins remaining. Writing it as a proper equation:

[tex]y = 85 - 6x[/tex]

The final answer is: y = 85 - 6x

PLEASE HELP ME ASAP NOW PLEASE

Answers

The lines with a slope larger than f(x) are:

option 4) y = (25/3)*x - 1/2

option 5) (4/5)*y - 16x = -1/2

Which one is the linear equation shown on the graph?

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

First, you can see that the line crosses the y-axis at y = -4, so the line is something like:

y = a*x - 4

And we can see that it crosses the x-axis at x = 2, then we can write the equation:

0 = a*2 - 4

4 = a*2

4/2 = a

2 = a

So the linear equation on the graph is:

y = 2*x - 4

The slope is 2, the linear equations with a slope larger than that are:

option 4) y = (25/3)*x - 1/2

option 5) (4/5)*y - 16x = -1/2

Which can be rewritten as:

y = (5/4)*16x - (5/4)*(1/2)

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10c. What other sequence of transformations would produce the same final image from the original pre image? Check your answer by performing the transformations Then make a conjecture that generalizes your findings.

Answers

The pre-image and picture will become congruent to one another by the following transformations: Reflection, Rotation and Translation

what is a sequence?

A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms).

Any of the aforementioned modifications result in an exact replica of the pre-image in the picture. The only thing that has changed about the figure is that it has been moved, rotated, or somehow reflected. The figurine is still the same size and form as before. Isometries are the name for these transformations.

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Eric picks 5/8 basket of strawberries. Kiki picks 1/5 basket of strawberries. Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?

Answers

Eric picks 17/40 baskets of strawberries more than Kiki.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Eric picks 5/8 basket of strawberries.

And, Kiki picks 1/5 basket of strawberries.

Hence, After subtraction we get;

Number of baskets of strawberries more than Kiki = 5/8 - 1/5

                                                                              = (25 - 8) / 40

                                                                              = 17/40

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A cake recipe calls for 2 1/3 cups of flour. If Gloria is planning on making 6 cakes for a bake sale, how many cups of flour will she need?

Answers

Answer: Gloria will need 14 cups of flour

Step-by-step explanation: 2 1/3 x 6 = 14

if the total surface area of imer part of a lidless cubical box is 2000cm2, (a) । Find the length of the box. (b)। Find the volurne of the box. (c) If the cost of milk is Rs. 120 per litre, find the cost of milk to fill this box.​

Answers

Step-by-step explanation:

a

sa= 6l²

2000=6l²

l²=333.3

l= 18.2565

b.

v=l³

v= 18.2565³

v= 6084cm³

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.
Complete the table to show the relationship between the amounts of salt and water in the stew recipe. Enter a number in each box.


Can someone please help me quickly!! And also let me know if I got the first 2 correct

Answers

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

What is the amount of salt?

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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6 divided 109 can you help?

Answers

Answer: 18.1666666667

Step-by-step explanation:

THIS ONE TOO PLEASE

Answers

A line that crosses the origin is symbolized by the equation y=mx. The line going through the origin equation is also y=2x.

what is equation ?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

The line going through the origin equation is also y=2x.

A line that crosses the origin is symbolized by the equation y=mx.

Also, y=2x satisfies the point (0,0)

A line that crosses the origin is symbolized by the equation y=mx. The line going through the origin equation is also y=2x.

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area of 6ft 10ft 14ft figure

Answers

Answer:

209.25

Step-by-step explanation:

Calculate the areas of the triangle, rectangle, and half circle, then add them together:

triangle = 1/2bh = 1/2(6)(10) = 30

rectangle = bh = (14)(10) = 140

half circle = 1/2πr² = 1/2(3.14)(5)² = 39.25

radius = r = D/2 = 10/2 = 5

Total area = 30 + 140 + 39.25 = 209.25

Answer:

209.25 ft²

Step-by-step explanation:

To find the total area of the figure you have to add the areas of the triangle, rectangle and the semi circle.

Area of the triangle.

[tex] \sf \: A = \frac{1}{2} \times base \times height \\ \sf \: A = \frac{1}{2} \times 6 \: ft \times10 \: ft \\ \sf \: A = \frac{1}{2} \times 60 \: {ft}^{2} \\ \sf \: A =30 \: {ft}^{2} [/tex]

Area of the rectangle.

[tex]\sf \: A =length \times width \\ \sf \: A =14 \: ft \times 10 \: ft \\ \sf A =140 \: {ft}^{2} [/tex]

Area of the semi circle.

[tex] \sf \: A = \frac{1}{2} \pi {r}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times ( \frac{10}{2}) ^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times {5}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times 25 \\ \sf \: A = \frac{1}{2} \times 3.14 \times 25 \\ \sf \: A = \frac{1}{2} \times 78.5 \\ \sf \: A = 39.25 {ft}^{2} [/tex]

Add up all the areas to find the total area.

[tex] \sf \: Total \: Area = 30 {ft}^{2} + 140 {ft}^{2} + 39.25 {ft}^{2} \\ = 209.25 {ft}^{2} [/tex]

I need help with these 4 problems

Answers

As a result, $1600 is the answer to the problem equation comes out to be stated problem, which is the estimated rent.

Describe equation.

A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 2x - 5 = 15 is an equation. We can find that the variable x has a value of 5 by resolving this equation.

Here,

In New York City, a one-bedroom apartment will cost $1600 in 2020.

Y = mx + c is frequently used as the formula for a straight line graph, where;

gradient = m

The vertical intercept is given by c.

With this knowledge, it is evident from the graph that y = 40x + 800 is the best line of fit for the data presented.

This indicates how much a one-bedroom apartment in New York City will cost in 2020, or 20 years after the year 2000.

y = 40(20) + 800 = $1600

As a result, $1600 is the answer to the problem equation comes out to be stated problem, which is the estimated rent.

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Write an equation that represents the line. Use exact numbers

Answers

The equation of a line is y = 7/9x -3.5. using exact numbers from the graph.

What is the slope intercept of a line?

A straight line is produced by a linear function. Therefore, the slope has a constant value. If the slope was variable, a straight-line graph would not exist. When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given a line in the graph in that we can see that,

At x = 0, y is -3.5 and at y = 0, x is 4.5 thus,

coordinates of the given line are (0, -.35) and (4.5, 0)

Therefore the slope of the line (m) = (y₂-y₁)/ (x₂ -x₁)

The slope of the line = 3.5/4.5 = 7/9

therefore equation of the line in the slope-intercept form:

y = 7/9 x +  c

Since this line passe from (0, -3.5)

hence, -3.5 = c

therefore, using exact numbers equation of the line is y = 7/9x -3.5.

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a movie theater has 24 screens. ration of action to other films is 1:2. How many action films are currently showing

Answers

Answer: 12

Step-by-step explanation: Because of the ratio we know that half of the screens will be showing action films. Half of 24 is 12, so 12 screens will be playing action.

the number of geusts,g, coming for dinner is not 8

Answers

The number of guests, g, coming for dinner is not 8, is g ≠ 8.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

The expression,

the number of guests, g, coming for dinner is not 8.

That means,

Let the number is g.

According to the question,

the number is not equals to 8.

That means,

the expression in the numerator form,

g ≠ 8.

Therefore, the term in the mathematical form g ≠ 8.

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write two equivalent expressions one exponential and one a product of factors, for 4 to the 5th power evaluate the expressions

Answers

Answer:

4^5 = 1024

4×4×4×4×4 = 1024

Step-by-step explanation:

An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.

A product of factors is going to show the multiplication written out sort of in a long format:

4 × 4 × 4 × 4 × 4

4^5 = 1024

4×4×4×4×4 = 1024

Other Questions
What are 10 negative sentences examples? Select the correct answer from the drop-down menu.Read the excerpt from "The Phantom Rickshaw."(10) In my room I sat down and tried calmly to reason out the matter. Here was I, Theobald Jack Pansay, a well-educated Bengal Civilian in the year of grace 1885, presumably sane, certainly healthy, driven in terror from my sweetheart's side by the apparition of a woman who had been dead and buried eight months ago. These were facts that I could not blink. Nothing was further from my thought than any memory of Mrs. Wessington when Kitty and I left Hamilton's shop. Nothing was more utterly commonplace than the stretch of wall opposite Peliti's. It was broad daylight. The road was full of people; and yet here, look you, in defiance of every law of probability, in direct outrage of Nature's ordinance, there had appeared to me a face from the grave.What idea do the underlined details support?The details underlined in the excerpt support the idea that Jack is What is the only act of freedom the caged bird hasWhat does Marguerite do when she begins to feel free? Why did the author call it as an uneventful chronicle? A group of students is making paper airplanes. They think that the kind of paper and the design of the airplane may affect how far each paper airplane flies. The students first test if the kind of paper affects how far the airplane flies. They make several airplanes out of different kinds of paper, using the same design. Why is it important that all the airplanes have the same design? (SC. 6. N. 1. 1) By using the same design, the students can learn about both the effect of the design and the effect of the paper. By using the same design, the students can learn about the effect of the design. If they do not use the same design, the students cannot learn about the effect of the paper. It is NOT important for the airplanes to have the same design because the students are not testing the effect of the design A pilot is flying a small plane at 130 m/s in a circular path with a radius of 400 m. If a force of 3200 N is needed to maintain the pilot's circular motion, what is the pilot's mass in kilograms rounded to the nearest hundredth? 12. Which set of ordered pairs below is a function? How do you find the missing side of an obtuse triangle? How do you solve 3 composite functions? What are the main ideas of this poster? Choose three answers. Explain why fat-free potato chips fried in artificial fats contain fewer calories than those fried in natural fats. Which of the following statements is true of right-to-work laws?a. They promote closed shops in organizations.b. They restrict compulsory union membership.c. They require that all union members have legal work permits.d. They prohibit union meetings during work hours. PLEASE HELP 15 POINTS!!!Read the story summary below, and think about authors purpose.Read Me ButtonHow do the conflict and resolution in this story help suggest the authors purpose?A- The things Heather buys at the mall are newer than the things she buys at the flea market, so the story shows that conflicts between mother and daughter are silly.B- The potos and the flea market experience help resolve the conflict between Heather and her mother, so the story shows a novel solution to a common problema.C. Shopping at the flea market causes conflicts between Heather and her grandmother, so it is shown to be a bad idea.D. Heather and her mother cannot agree about the rules for visiting the mall, so the mall is shown to cause a conflicto. What does the girl say about her living brothers and sisters answer? CREATE an epithet for Odysseus based on what you learned about him today. What is the probability of tossing a coin and getting heads three times in a row?What is the chance that the next toss will be heads? What is the chance that the next toss will be tails? How to find the legs of a 45 45 90 triangle given the hypotenuse? Read the following implied thesis statement:Legalizing recreational marijuana will not encourage teen-agers to use the drug.Which choice below is the most effective supporting topic sentence for a paragraph in this essay?A CDC report states that 82% of American teens say they have been offered marijuana or other drugs.Marijuana is easy to access and many teenagers have tried it.There is no evidence that marijuana is a so-called gateway drug that leads teenagers to experiment with harder drugs or alcohol.A recent study found that over that last decade, pot-smoking by teens has fallen to an all-time low, even as more and more states have legalized marijuana. Jasmine has played basketball since she was six years old. Each winter, she starts practicing for her local team. This year, she has decided to take a job at a supermarket. Jasmine is not able to do both activities, because her shift at the supermarket would begin before the team's practices would end. Based on what you have read, if Jasmine works at the supermarket, what is her opportunity cost Do you think that Sher Shah was a just ruler? Give reasons to support your answer.