Please help with us math work

Please Help With Us Math Work

Answers

Answer 1

Following are the mathematical operations for the numerics.

Mathematical operations -

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. Image: The basic mathematical operation symbols. A set of numbers and operations make up a mathematical expression.

24 × 3/4 = 1824 ÷ -3/4 = -3212 - 15 = -312 - 15 = 27-18 ÷ -3/4 = 24

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Related Questions

Find the product of 12 and 8. Find the greatest common factor of 12 and 8. Find the least common multiple of 12 and 8. Find the product of the greatest common factor and the least common multiple of 12 and 8.

Answers

Answer:

Product: 96

GCF: 4

LCM: 24

Product of the GCF and LCM: 96

Step-by-step explanation:

Product - The answer to a multiplication problem.GCF - The greatest positive integer that evenly divides both numbers.LCM - The smallest multiple that both numbers have in common.

Now that we know what definitions are, we can solve this word problem.

12 × 8 = 96.

96 is the product.

To find the greatest common factor, we can list all of the factors for each number.

12: 1, 2, 3, 4, 6, 12

8: 1, 2, 4, 8

The largest factor both numbers have in common is 4.

Therefore, 4 is the greatest common factor.

To find the least common multiple, we can list the multiples of both numbers.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64

The smallest multiple both numbers have in common is 24.

Therefore, 24 is the least common multiple.

Lastly, we have to find the product of the GCF and the LCM.

The GCF is 4 and the LCM is 24.

4 × 24 = 96.

96 is the product.

Therefore, 96 is the product of the greatest common factor and the least common factor of 12 and 8.

Which rule describes the relationship between the ex and Y coordinates on the following graph
choose 1 answer:
A) y = x
B) y = 2x -2
(PICTURE INCLUDED WHOEVER GETS IT RIGHT FIRST GETS MARKED BRAINLIEST)

Answers

Answer:

A, y = x

Step-by-step explanation:

Slope is equal to one

Y-intercept is origin

Answer:

A.) Y=X

Step-by-step explanation:

It intercepts with origin

my helpers help me again -^-

Answers

Answer:

g= 92°

h= 88°

k= 91°

m= 89°

Step-by-step explanation:

Answer:

g = 92°

h = 88°

k = 91°

m = 89°

Step-by-step explanation:

Have a nice day!

The diagram shows a cuboid with a volume of 42 cm³. K ? cm Work out the missing length of the cuboid. 2 cm 3 cm​

Answers

Using the formula for the volume of cuboid that is the product of length, breadth and height, The answer is 7cm.

What is a cuboid?

A cuboid is a three-dimensional shape with six rectangular faces, three of which are pairs of congruent squares and the other three are rectangles. It is also known as a rectangular prism. The opposite sides of a cuboid are parallel and equal in area. The length, width, and height of a cuboid are three of its measures of size.

What do you mean by volume and formula for volume of cuboid?

The volume of a three-dimensional object is a measure of the amount of space it occupies. It is typically measured in units of cubic units, such as cubic centimeters (cm^3) or cubic meters (m^3). The formula for the volume of a cuboid is length x width x height. For example, if a cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm, its volume would be 5 x 3 x 2 = 30 cubic centimeters. In general, the volume of a three-dimensional object can be found by multiplying the area of its base by its height.

length = 2cm

breadth =3cm

volume = 42 cm³

volume = l*b*h

42 = 2*3*h

h= 42/6 =7cm

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Graph the line that passes through the points (-3, -1) and (1, -1) and
determine the equation of the line.

Answers

Answer:

y = -1

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

To find slope we look for the rise/run or (y2 - y1) / (x2 - x1)

The slope here is 0, and the y-intercept is located at (0,-1), so the equation is

y = -1

Answer:

y = -1

Step-by-step explanation:

The number y of duckweed fronds in a pond after t days is y=a(1230. 25)t/16, where a is the initial number of fronds. By what percent does the duckweed increase each day? Round your answer to the nearest whole number

Answers

The duckweed increases by a percentage each day which is calculated by the equation

(1230.25t/16)/a - 1.

This equation can be further simplified to 1230.25t/16a - 1 and then multiplied by 100 to get a percentage.

So the percentage increase of duckweed each day is calculated by multiplying 1230.25t/16a - 1 by 100.

1230.25t/16a×100

This will give us the percentage of increase each day, rounded to the nearest whole number.

For example, if the initial number of fronds is 1000 and the number of days is 2, the percentage increase of duckweed will be (1230.25(2)/16(1000)) - 1 = 24.6%, rounded to the nearest whole number which is 25%.

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Clara and erin volunteered at an animal shelter a of 9 1/5 hours. Clara worked for 41/3 hours. How many hours did erin work?Yon can use fraction strips to solve this problem

Answers

If $10,000 is invested at x percent simple annual interest for n years, the total amount of interest would be F = 10,000n(x/100)

What is simple interest?

Simple interest is calculated based on the principle of a loan or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay interest on interest that has already accrued.

F = P(1+rt), formula for simple rate of interest

Here,

=> Future value is F

Present value is P

=> Rate is R

=> Time is t

Substituting x for r

And, n for t

Also, 10,000 in for P

F = 10,000(1+xn)

The formula tells us principal + interest,

F = 10,000(xn)

Now, to get the x into terms of a percentage,

F = 10,000(n * x/100)

F = 10,000n(x/100)

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What is the 3 variable?

Answers

A three-variable system is a system of equations or inequalities involving three variables.

The three variables could refer to any three related quantities, such as a person's age, height, and weight. In a three-variable system, the number of equations is equal to the number of variables, so three equations are needed to solve the system. Each equation in the system will involve all three variables and will be solved through a combination of algebraic manipulation, substitution, and elimination techniques. Once all three equations have been solved, the values of the variables can be found.

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Given cos 0= -1/2 and angle 0 is in quadrant two what is the exact value of sin 0  in simplest form

Answers

Answer:

[tex]-\sqrt{7/4}[/tex]

Step-by-step explanation:

[tex] \sin( \theta) = \frac{ \sqrt{3} }{2} [/tex]

What critical value of t* should be used for a 95% confidence interval for the population mean based on a random sample of 15 observations

Answers

A 95% confidence interval has a critical value of 1.96, where (1-0.95)/2 = 0.025. The unknown mean's 95% confidence interval is (101.82 - 0.96, 101.82 + 0.96), which translates to (101.82 - 0.96, 101.82 + 0.96) = (100.86, 102.78).

The critical t-value is what?

The t-critical value marks the threshold at which the null hypothesis is accepted or disregarded. The null hypothesis is rejected if the t-statistic is closer to 0 than the t-critical value; otherwise, it is retained.

How do we determine the appropriate value of T *?

Using a standard t-test and the following formula, you can determine a t-value: t is equal to (X - ц0) / (s / √n), where X is the sample mean, 0 is the population mean, s is the sample standard deviation, and n is the sample size.

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A 95% confidence interval has a critical value of 1.96, where (1-0.95)/2 = 0.025. The unknown mean's 95% confidence interval is (101.82 - 0.96, 101.82 + 0.96), which translates to (101.82 - 0.96, 101.82 + 0.96) = (100.86, 102.78).

The critical t-value is what?

The t-critical value marks the threshold at which the null hypothesis is accepted or disregarded. The null hypothesis is rejected if the t-statistic is closer to 0 than the t-critical value; otherwise, it is retained.

How do we determine the appropriate value of T?

Using a standard t-test and the following formula, you can determine a t-value: t is equal to [tex](X - ц0) / (s / √n)[/tex], where X is the sample mean, 0 is the population mean, s is the sample standard deviation, and n is the sample size.

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What is the difference between a difference of two squares and a perfect square trinomial?

Answers

Depending on whether a and b are real numbers, they can factor as (a + b) (a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.

what is perfect square ?

When you square an integer, you get perfect squares. The number 81, for example, is a perfect square since it can be derived by squaring 9: 99=81. Because 12 can be squared to make 144, 144 is a perfect square. 13 may be squared to make 169, which is a perfect square. Mathematics-related language. Informally: When an integer (a "whole") number is multiplied by itself, whether the result is positive, negative, or zero, the result is referred to as a square number, a perfect square, or simply "a square." All square numbers are therefore 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

Perfect square trinomials, also referred to as trinomial squares, are the squares of binomial expressions.

Depending on whether a and b are real numbers, they can factor as (a + b)(a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.

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find the total surface area of this cuboid.

Answers

The total surface area of the cuboid is 2 (lh + lw+ hw) square units.

What is surface?A surface is the part of solid matter that can be touched by hand or seen with eyes. In other words, it is the place where the solid matter encounters the outside world through contact, light, etc. Solid matter not only effects humans with its surface, but also air, water, and other solid matter. Therefore, things around us work cooperatively with the outside world and with other things through surfaces, without a surface, solid matter would not be able to interact with anything.By changing the characteristics of solid matter, interactions such as the impact on the solid matter from other things (such as environmental conditions and people) as well as the effect that solid matter has on other things can be changed. In other words, certain features of the solid matter can be controlled as needed.

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Joanne is campaigning for class president and plans to distribute some campaign materials. 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?

Answers

The greatest number of classrooms is 4, Joanne can distribute materials

5 flyers and 4 buttons.

What is the greatest common factor?

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor or GCF.

Given:

Joanne is campaigning for class president and plans to distribute some campaign materials.

20 flyers and 16 buttons.

She wants each classroom to receive an identical set of campaign materials, without having any materials left over.

In order to find the greatest number of classrooms, Joanne can distribute materials:

We have,

the number of flyers = 20.

Number of buttons = 16

We need to find the GCF.

GCF of 16 - 1,2,4,8,16

GCF of 20-1,2,4,5,10,20

Clearly, 4 is the GCF.

Therefore, total number of classrooms = 4

Number of flyers distributed to each classroom

= Total number of flyers / Total number of classroom

= 20/4

= 5

Number of buttons distributed to each classroom

= Total number of buttons/ Total number of classrooms

= 16/4

= 4

Therefore, the Joanne can distribute 5 flyers and 4 buttons to each classroom.

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Based on the records for the past several​ seasons, a sports fan believes the probability the red team wins is . The fan also believes the probability the blue team wins is . In a season with ​games, how many games should the fan expect the red team to​ win?

Answers

See comment for complete question

Answer:

81 games

Step-by-step explanation:

Given

[tex]P(Red) = 0.45[/tex]

[tex]P(Blue) = 0.40[/tex]

[tex]n = 180[/tex]

Required

Expected game the red team will win

Expected number is calculated as:

[tex]E(x) = n * P(x)[/tex]

In this case, the number of winnings for the red team is:

[tex]Expected = 180 * P(Red)[/tex]

[tex]Expected = 180 * 0.45[/tex]

[tex]Expected = 81[/tex]

PLEASE HELP!!
The function f(x) has a vertical asymptote at x = [BLANK].

Answers

Answer:

-4

Step-by-step explanation:

hi plz answer image below may god less you no bot answers plz

Answers

Answer:42.875 feet3

Step-by-step explanation:

Answer:

Step-by-step explanation:

V=a³

=[tex](3\frac{1}{2})^3=42\frac{7}{8}[/tex]in³

Answer the following questions:

1. a. 126 ÷ 12
b. 217 ÷ 4
c. 75 ÷ 6
d. 11 ÷ 9
e. 200 ÷ 35

2. a. Determine whether the quotient of 7 ÷ 2.2 is a terminating or nonterminating, repeating decimal.
b. Find out if the quotient of 0.5 ÷ 0.12 is a terminating or nonterminating, repeating decimal.
c. Which of these has a quotient that is a nonterminating, repeating decimal:
3 ÷ 0.8, 9 ÷ 0.16 or 2 ÷ 2.7?
d. Mr. Pelaez wants to divide his 1.3 hectares of land among his three children. How much land will each child get?

3. Identify if each resulting quotient is a terminating or nonterminating, repeating
decimal.
a. 2 ÷ 3
b. 5 ÷ 1.2
c. 0.3 ÷ 0.9
d. 2.4 ÷ 1.8

4. In a feeding activity, the teacher used 1.25 kilograms of ground pork to make 30 pieces of hamburger patties. How much meat was there in one piece of hamburger?

Answers

1. The quotients of the following division operations are as follows:

a) 126 ÷ 12 is 10.5.

b) 217 ÷ 4 is 54.25.

c) 75 ÷ 6 is 12.5.

d) 11 ÷ 9 is 1.2222.

e) 200 ÷ 35 is 5.7143.

2a) The quotient of 7 ÷ 2.2 is a nonterminating or repeating decimal.

2b) The quotient of 0.5 ÷ 0.12 is a nonterminating or repeating decimal.

2c) The division operation with a quotient that is nonterminating or repeating decimal is 2 ÷ 2.7.

3) The identification of each resulting quotient as a terminating or nonterminating, repeating decimal is as follows:

a. 2 ÷ 3 Nonterminating quotientb. 5 ÷ 1.2 Nonterminating quotientc. 0.3 ÷ 0.9 Nonterminating quotientd. 2.4 ÷ 1.8 Nonterminating quotient.

4) The quantity of meat in one piece of hamburger, if they are evenly shared or divided, is 41.67 g.

What is the quotient?

The quotient is the result of the division operation.

Every division operation involves the dividend (the numerator), the divisor (the denominator), the division operand (÷), and the equal sign (=).

2)

a) 7 ÷ 2.2 = 3.181818

b) 0.5 ÷ 0.12 = 4.16667

c) 3 ÷ 0.8 = 3.75

9 ÷ 0.16 = 56.25

2 ÷ 2.7 = 0.740740

3)

a. 2 ÷ 3 = 0.6667

b. 5 ÷ 1.2 = 4.16667

c. 0.3 ÷ 0.9 = 0.3333

d. 2.4 ÷ 1.8 = 1.3333

4) Total weight of ground pork = 1.25 kilograms

1 kg = 1,000 g

1.25 kg = 1,250 g

The pieces of patties = 30

The weight of each piece = 41.67 g (1,250/30)

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heyy! i’ll give brainliest please help.

Answers

Answer:

B: weather occurs because the climate is constantly changing

Step-by-step explanation:

What is sin E for this triangle?
Enter your answer by filling in the boxes.
E
g
F
sin E =
I
e

Answers

Answer:

e/f

Step-by-step explanation:

sin =opposite/ hypothenuse

e is opposite

f is hypothenuse

With respect to the reference angle E, sinE = e/f.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know, sin is opposite over hypotenuse.

From the given figure, With respect to the reference angle E,

opposite is FG and hypotenuse is EG.

Therefore, sinE = FG/EG.

sinE = e/f.

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Solve the systems algebraically please help :(

Answers

Answer:

I don't really know but I will help you if I can

Use the graph of the function to find the domain and range of f (Enter your answers using interval notation)

Answers

In the given graph the domain and range of function y=f(x) is

Domain: (-2,2]

Range : [-4, 5)

What is domain and range?

A function's domain is the set of all possible inputs to the function. This means it can be any number that can be entered into a function. For the majority of functions, this will be any number that can be substituted for the letter x. Except for a few exceptions such as square root functions and rational numbers, your domain will almost always be all real numbers.

The set of all possible outputs of a function is referred to as its range. This is usually represented by the letters y or f(x). The range is any number obtained by substituting any number for x.

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can someone pls help

Answers

Answer:

10 walnuts..

Step-by-step explanation:

12 - 2 = 10

Answer:

10?

Step-by-step explanation:

12-2=10

9 Jugadores de un equipo de baloncesto chocan palmadas unos con otros ¿Cuántas palmadas dan en total? 2 jugadores dan una palmada. 3 jugadores, tres palmadas. 4 jugadores, seis palmadas. 5 jugadores, diez palmadas.

Answers

Answer:

Los jugadores dan 36 palmadas en total.

Step-by-step explanation:

Dado que 9 jugadores de un equipo de baloncesto chocan palmadas unos con otros, para determinar cuántas palmadas dan en total, sabiendo que 2 jugadores dan una palmada, 3 jugadores, tres palmadas, 4 jugadores, seis palmadas, y 5 jugadores, diez palmadas, se debe realizar el siguiente cálculo:

Cada jugador da un número de palmadas igual al número de jugadores en el campo, menos 1. A su vez, esa palmada es recíproca con el otro jugador que la recibe, con lo cual el número de jugadores a contar va disminuyendo.

8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = X

15 + 6 + 5 + 4 + 3 + 2 + 1 = X

21 + 5 + 4 + 3 + 2 + 1 = X

26 + 4 + 3 + 2 + 1 = X

30 + 3 + 2 + 1 = X

33 + 2 + 1 = X

35 + 1 = X

36 = X

Por lo tanto, dan 36 palmadas en total.

Can a polynomial have no zero?

Answers

A quadratic polynomial does not cross the x axis at any point since it has no zeros.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

x^2 - 2x +  5 when compared with the standard form of the quadratic equation, a = 1, b=- 2, c=5

Value of the discriminant =b^2 - 4 ac                                    

= (-2)2 - 4(1) (5)= 4 - 20                                    

= - 15

The value of the discriminant is negative i.e less than zero.

Hence, the quadratic equation x^2 - 2x +  5 has no real zeroes.

Since a quadratic polynomial may only have two real roots, the number of times the graph will cross the x-axis at most is two, and at least zero when there are no roots in the equation.

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Jamie's sister loaned her $15. She now has at least $50 to purchase new boots. What is m, the amount of money Jamie had before her sister loaned her the money? Write an inequality to represent this situation.



15m ≥ 50


15m > 50


m + 15 ≥ 50


m + 15 > 50

Answers

Answer:

m + 15 ≥ 50

Step-by-step explanation:

Jamie's sister gave her 15 dollars on top of what she already had. This means that it was added to her own money, m. Also, the statement says that she has at least 50; this means that she has an amount equal to or greater than 50. Therefore, the third option, m + 15 ≥ 50, is correct.

A triangle has a height that is 4 inches shorter than its base. If its area is 30 square inches, find the base and height.

Answers

Answer:

The height of the triangle = 6 inches

The base of the triangle = 10 inches

Step-by-step explanation:

The formula for the Area of a Triangle = 1/2 × Base × Height

Area = 30 in²

h = b - 4

Hence

30 = 1/2 × b × b - 4

Cross Multiply

30 × 2 = b² - 4b

60. = b² - 4b

b² - 4b - 60

We factorise the Algebraic expression to find b

b² - 4b - 60 = 0

b² - 10b + 6b - 60 = 0

b(b - 10) + 6(b - 10) = 0

(b - 10) + (b + 6 ) = 0

b - 10 = 0 , b = 10

b + 6 = 0, b = -6

We are going to take the positive answer of b as the value of b

b = 10 inches

Solving for h

h = b - 4

h = 10 - 4

h = 6 inches

Therefore, the height of the triangle = 6 inches

base of the triangle = 10 inches

Dean Wormer wants to compare the grade point average of athletes at Faber College with the overall grade point average at Faber College. She randomly selects three students from each team and determines that their combined grade point average, 2. 3, is the same as that of all students at Faber. In this example, what is the population

Answers

yes it  is the same as that of all students at Faber GPAs as 2.32 and lower will mean that a track team athlete will be recommended for extra tutoring and population is 2.3* student number

What is the definition of a population?

In ordinary usage, a population is a distinct group of individuals with shared citizenship, identity, or characteristics. In statistics, a population is a representative sample of a larger group of people (or even things) with one or more characteristics in common.

When the distribution is normal, we use the z-score formula.

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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What is line segment Theorem?

Answers

Line segment theorem states that if a line segment is bisected by another line, then the two parts of the line segment are equal.

This theorem is also known as the Midpoint Theorem. The formula for the Line Segment Theorem is A/B = C/D, where A and C are the two halves of the line segment, and B and D are the distances from the midpoint to the two endpoints of the line segment.

For example, consider a line segment AB with endpoints at A(-3, 2) and B(3, 2). The midpoint of the line segment is at (0,2). To calculate the length of each half of the line segment, we would use the distance formula and plug in the coordinates of the two endpoints and the midpoint.

For half A, the distance is d(A, M) = sqrt[(-3 - 0)^2 + (2 -2)^2] = 3.

For half C, the distance is d(M, B) = sqrt[(3 - 0)^2 + (2 -2)^2] = 3.

Therefore, A/B = 3/3 = 1 and C/D = 3/3 = 1. This confirms that the two halves of the line segment are equal in length.

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heyy! i’ll give brainliest please help

Answers

the answer is absolute dictator

Gracie has made 2 gallons o punch that contains 50% juice. After Gracie pours out some of her mixture and replaced with an equal amount of pure 100% juice, she has 2 gallons of punch that contains 65% juice. How many gallons of the original mixture did Gracie pour out? Express your answer as a common fraction.

Answers

Gracie poured out 3/10 gallons of the original mixture.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that Gracie has made 2 gallons o punch that contains 50% juice. After Gracie pours out some of her mixture and replaced with an equal amount of pure 100% juice, she has 2 gallons of punch that contains 65% juice.

Assume that she pour out {x} gallons of original mixture. We can write -

{50% of 2} - {x} = {(100 - 65)% of 2}

{50/100 x 2} - {x} = {35/100 x 2}

{1/2 x 2} - {x} = {35/100 x 2}

1 - x = 7/10

1 - 0.7 = x

x = 0.3

x = 3/10

Therefore, Gracie poured out 3/10 gallons of the original mixture.

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I need help and please no links GorillaSophiaGeorgeNancyHankPaulaGavinWeight(pounds)3184173101366224Pluggedinto3c+9=417True orFalse? What is the correct tense?Prasanna would have reached Bangalore by this time.A. present perfectB. past perfectC. future perfectD. simple past at what temperature will the mass of 198g of carbon dioxide gas at 2 atmospheric pressure take up to a volume of 35l? (gas constant= 0.0821L atm. A rectangular playground area is 3,162 meters. The width is 51 meters. Find the length? question: which about mama does the author show in this passage from ''Every day Use"Text: In real life i am large, big -boned woman with rough- with man working hands,In the winter i wear flannel nightgown to bed overalls during the day. i can kill and clean a hog as mercilessly as a man my fat keeps me in hot zone weather options:A: she is caring but determined B:she is ordinary and humbleC: she is ashamed and remorseful D: she is serious and lady-like what is the probability that you get a total of 17 given You are playing a version of the roulette game, where the pockets are from 0 to 10 and even numbers are red and odd numbers are black (0 is green). You spin 3 times and add up the values you see. What is the probability that you get a total of 15 given on the first spin you spin a 2 5. Kimberly draws the food web shown. A reduction in the population of which organismwould reduce the food sources available to all of the other organisms? (1 point) 6. Which subatomic particle has no charge?O protonO electronO neutron 6p 9 = 9; then p=? In many legends, the hero slays a monster; but in this legend, the hero saves a monster. What lessons about human nature and behavior does this story seem to teach PLEASE! I need the prime-power factorizations for these!!! Graph the line that passes through the points (1, -2) and (-1,-6) anddetermine the equation of the line. Which of the following is an example of one stage in ecological succession?A. A tree falls over in a forest. B. Weeds grow in a garden. C. Fish swim in a pond. D. A bird lays eggs in a nest. What is the main purpose of Act III, Scene iv, ofThe Tragedy of Romeo and Juliet, in which Juliet'sparents speak with Paris?A to prove that Juliet is grieving over the death ofTybaltB to stress Lady Capulet's opposition to the mar-riage of Paris and JulietC to show that Capulet will pursue the feud betweenthe families indefinitelyD to show Capulet's decision that Juliet will marryParis the following Thursday You recently read a surprising news item. Write a letter to a friend about the news item. In your letter you should: describe what the news item was about explain what made you decide to read it say why you want to tell your friend about it. you should try to u Your letter should be between 150 and 200 words long. Please show work image below includes the questions. Explain in detail the most important technology term outlined How does Joseph Goebbels portray Jewish people in his pamphlet and his political cartoons? How do you think this type of messaging from the highest level of government affected how the average German felt about Jews?PLEASE HELP IM SHORT ON TIME!! How many powers of 7 are contained in 10?