Mathematics College

If a fission reaction yields 4.50×10^9 kJ of energy, then how much mass was lost?


1.50×10^−6 kg


5.00×10^−2 kg


5.00×10^−5 kg


1.50×10^−3 kg

Answers

Answer 1

Answer:

  (c)  5.00×10^-5 kg

Step-by-step explanation:

The mass and energy are related by Einstein's formula E = mc².

__

Solving for mass in kg, we find it to be ...

  m = E/c² . . . . . . . . where E is in joules, and c is in meters/second

  m = (4.50×10^12 J)/(3×10^8 m/s)² = 5.00×10^-5 kg

The lost mass was about 5.00×10^-5 kg.

Answer 2

Answer:

5.00×10^−5 kg

Step-by-step explanation:

I took the test and it was correct! PLEASE LIKE  and have a wonderful day!

If A Fission Reaction Yields 4.5010^9 KJ Of Energy, Then How Much Mass Was Lost?1.5010^6 Kg5.0010^2 Kg5.0010^5

Related Questions

willams bought piece of woods that is 3 feet long.he cuts it in to two pieces.one piece is 14 in long how long is the other piece

Answers

Answer:

22 inches

Step-by-step explanation:

3 feet = 36 inches

36-14=22

The other half is 22 inches long

The outside of a rectangular picture frame has length 4x + 5 centimeters and width 2x + 3 centimeters. The picture window inside the frame is a rectangle that is 4x - 2 centimeters long and x + 1 centimeters wide.
a. Write a polynomial to describe the area (in square centimeters) of the picture window.
b. The picture frame, not including the window, is made of flat pieces of wood. Write a polynomial that describes the area (in square centimeters) of the wooden part of the frame. Explain your reasoning

Answers

The area of the wooden part of the frame is 4x² +20x +17 sq.cm , Area of a Rectangle is 4x² +2x-2 sq.cm .

What is a Rectangle ?

A rectangle is a polygon with four sides . The opposite sides are parallel and equal.

It is given that the outside length and breadth is 4x + 5 centimeters and width 2x + 3 centimeters.

inside the frame has length and breadth 4x - 2 centimeters long and x + 1 centimeters wide.

The polynomial to describe the area of the picture window

The dimension of the inner picture frame is the dimension of the picture window

Area of a Rectangle = Length *  Breadth

Area of a Rectangle = (4x-2) (x+1) = 4x² +4x -2x-2 = 4x² +2x-2 sq.cm

The picture frame area without the window =

Area of the total picture frame - Area of the inner picture frame

= (4x+5)(2x+3) - (4x-2)(x+1)

= 8x² + 12x +10x+15 -4x²-2x +2

= 4x² +20x +17

The area of the wooden part of the frame is 4x² +20x +17 .

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I NEED HELP ASAP!!!


Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for several weeks and display the data in a scatter plot. They then find the equation for the best-fit line to be y=2.5 + 1.25rMULTIPLE CHOICE Question 7 Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for several weeks and display the data in a scatter plot. They then find the equation for the best-fit line to be y= 2.5 + 1.25x

X = the number of weeks that have passed


= the height of the plant
They want to use the equation to estimate when the height of the plant will be 10
Amalia's estimate is after 6 weeks.
Alec's estimate is after Week 15.
Is either student correct?

Answers

Amalia would be correct. They are guessing when the height would be 10, and you are given an equation that will 'predict' that. Height is y, so substitute 10 in the equation and solve for x. You will get x=6

Yes, Amalia is correct. If y=height of plant and x=number of weeks that have passed then you plug in the numbers, we are looking for height of 10 so y=10 so 10=2.5+1.25(6) is the equation if we plug in Amalias guess of 6 weeks, if we plug in Alexs guess it would be same but use his guess 15 instead of 6. So to figure out of the equation is correct I’ll replace 10 for y so I can do it out y=2.5+1.25(6) now easily solve for y by doing 1.25x6=7.5 then I add 2.5+7.5=10, so I plug 10 back in for y and it looks like 10=10 so yes she is right. But I double check by also doing the second students guess, right away I multiply 1.25x15 and I get a number larger than 10, I think it was 18 something so I know that’s wrong without even having to finish it by adding 2.5 because then it’ll only get bigger but for fun you add it say it’s 20.5 then plug 10 back in for y 10=20.5 nope they aren’t equal so answer is not right. If you want to guess for any other height, just plug it in for the y and your guess for number of weeks for x and do out the equation (I used a calculator to multiply since they aren’t whole numbers it’s easier to do 1.25x6 or whatever number on calculator I can’t do it in my head) and then just add 2.5 either with calculator or not it’s easy enough to do it in your head. Hope that helps.

Sergio is creating a college fund for his son Diego, who is now 4 years old. Sergio put $1600 in a CD that will earn 8.25% simple interest. How much will be in the account when Diego turns 18?

Answers

well, Diego is 4 now, so by his 18th birthday that'll be 14 years later.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 8.25\%\to \frac{8.25}{100}\dotfill &0.0825\\ t=years\dotfill &14 \end{cases} \\\\\\ A=1600[1+(0.0825)(14)]\implies A=1600(2.155)\implies A=3448[/tex]

A
ABCD FECG
2
B
F
6
4
5
E
100°
120°
G
W
D
w = [?]°
5
60°
C

Answers

Answer:

120

Step-by-step explanation:

Corresponding angles of similar figures are congruent.

The measure for w is 120 degree.

We have ABCD ~ FECG

If two quadrilaterals are similar, it means that their corresponding angles are congruent, and their corresponding sides are proportional.

Then, we can write as

AB/ FE = CB/ EC = CD/ CD = AD/ FG

and, <A= <F,          

<B = <E,

<C= <C,

<D= <G

So, the measure for w is same as angle G.

Thus, the measure for w is 120 degree.

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The annual profits for a company are given in the following table, where x represents the number of years since 2014, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the profits would reach 144 thousand dollars.

Answers

The linear regression equation that represents this data set is equal to y = 11.7x + 48.2 and an estimate of the calendar year is 2022.

How to write the linear regression equation?

First of all, we would determine the slope of the given data set by using this formula:

[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]

For the sample mean (years), we have:

∑x = 0 + 1 + 2 + 3

∑x = 6.

∑x² = 0² + 1² + 2² + 3²

∑x² = 14.

For the sample mean (profits), we have:

∑y = 46 + 57 + 84 + 76

∑y = 263.

∑xy = (0 × 46) + (1 × 57) + (2 × 84) + (3 × 76)

∑xy = 453.

Now, we can determine the slope:

[tex]Slope = \frac{4(453) - 6(263)}{4(14) - 6^2} \\\\Slope = \frac{234}{20}[/tex]

Slope, m = 11.7.

For the intercept, we have:

[tex]Intercept = \frac{14(263) - 6(453)}{4(14) - 6^2} \\\\Intercept = \frac{964}{20}[/tex]

Intercept, c = 48.2.

Therefore, the linear regression equation is given by:

y = 11.7x + 48.2.

Since the profit would reach 144,000 dollars, the calendar year would be calculated as follows:

144 = 11.7x + 48.2

11.7x = 144 - 48.2

11.7x = 95.8

x = 95.8/11.7

x = 8.2.

For the calendar year, we have:

Year = 2014 + 8.2

Year = 2022.2 ≈ 2022.

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pls help me this is important​

Answers

Using the Charles law, the following are the solutions to the problems;

1) 16 dm3

2) 170 K

3) 2.4 L

What is Charles law?

Charles law states that, the volume of a given mass of gas is directly proportional to the temperature at constant pressure.

For problem 1;

T1 = 20 + 273 = 293 K

V1 = 15 dm3

T2 = 318 K

V2 = ?

V1/T1 = V2/T2

V1T2 =V2T1

V2 = V1T2/T1

V2 = 15 dm3 * 318 K/293 K

V2 = 16 dm3

Problem 2

V1 = 250cm3

T1 = 10 + 273 = 283 K

V2 = 150cm3

T2= ?

T2 = V2T1/ V1

T2 =  150cm3 *  283 K/250cm3

T2 = 170 K

Problem 3

V1 = 2.3 L

T1 = 25 + 273 = 298K

V2 = ?

T2 = 40 + 273 = 313 K

V2 = V1T2/T1

V2 = 2.3 L * 313 K/298K

V2 = 2.4 L

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Which of the following solutions to the inequality -7x+14>-3x -6? Select all that apply
-10
10
-5
5
-3
3
0

Answers

I went thru it and im pretty sure that only these work

-10

-5

-3

Without plotting the function
y = f(x) on a graph paper, find the coordinates of the common points of the axes when
a) f(x) = 4x² - 25
b) f(x) = 3x² - 5x

Answers

929 wow is ow ahsisk 929

A card is drawn from a deck of 52 cards what is the probability that it is a number 2?

Answers

Answer:

Step-by-step explanation:

Remark

The deck is divided into 4 different kinds of cards

clubs

diamonds

Hearts

Spades

Each kind of card has a 2

So there are 4 twos in a standard deck of cards.

Answer:

P(2) = 4/52P(2) = 1/13P(2) = 0.07692

**Find the perimeter of the region.**
The circle are congruent to each other.

The circles are tangent to each other, and the straight
segments are tangent to the circles.

The straight
segments are 5 units long.

Answers

Find the perimeter of the region.**

The circle are congruent to each other.

The circles are tangent to each other, and the straight

segments are tangent to the circles.

The straight

segments are 5 units long

3(5z - 7) - 2 (9z - 11) = 4 (8z - 13) - 17

Answers

Answer z=2

See picture attached for the math

Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below.

Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28.


Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression?
–6x – 1
–6x + 2
6x + 1
6x – 2

Answers

Answer:

6x-2

Step-by-step explanation:

-4x(1-3)-(2x+2)

= 4x+12x-2x-2

6x-2

(simplify)

Answer:

6x - 2

Step-by-step explanation:

Edge

Suppose a nuclear power plant disaster occurs. How could GDP be a "false beacon" in this case?

Answers

If there was a nuclear plant disaster, then GDP would be a false beacon because it would account for government spending but not for the pollution caused.

Why would GDP be a false beacon?

Two of the components of GDP are government spending and private investment.

If there is a nuclear plant disaster, either the government will spend a lot to clean it up, or a private company will depending on if the plant is public or private.

GDP would therefore increase.

This would be a false beacon however, because this increase would not take into account the nuclear pollution that would have occurred that would negatively impact future production.

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Please solve these questions!! preferrably today since the quarter locks today!!

Answers

Answer:

131

Step-by-step explanation:

Question 1 of 10
f(x) = 3x³ - 2x² + 4x - 5
g(x) = 6x - 7
Find (f + g)(x).

Answers

(f+g)(x)f(x)+g(x)3x³-2x²+4x-5+6x-73x³-2x²+4x+6x-5-73x³-2x²+10x-12

Done!

Answer:

[tex](f+g)(x)=3x^3-2x^2+10x-12[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}f(x)=3x^3-2x^2+4x-5\\g(x)=6x-7 \end{cases}[/tex]

[tex]\begin{aligned}(f+g)(x) & = f(x)+g(x)\\& = (3x^3-2x^2+4x-5)+(6x-7)\\& = 3x^3-2x^2+4x-5+6x-7\\& = 3x^3-2x^2+4x+6x-5-7\\& = 3x^3-2x^2+10x-12\end{aligned}[/tex]

What is the volume of the solid?

Answers

Answer:

V≈314

Step-by-step explanation:

* means times

volume of a cone

it's a right circular cone

formula

volume =

π * radius squared * (height ÷ 3)

π * 5 squared * (12 ÷ 3)

π * 25 * (4)

π * 100

3.14 * 100 = 314

factoid

pi or π in fraction form is 22/7

5 and 12 means the length of that

cone is 13

because it's a right circular cone

that means there's a right triangle

one of the special triangles is a

5,12,13 right triangle where

13 is the hypotenuse

moomoomath

X÷ 5+1 = 11
X =
What does X =

Answers

Answer:

x = 2

Step-by-step explanation:

x/5 + 1 = 11
    x/5 = 10
        x = 50

please help! easy! it is due right now!!

Answers

Answer:

3 Cups of flour.

Step-by-step explanation:

Type the correct answer in the box.
The value of is .

Answers

The answer is 1 because you need to transform the expression then simplify it
The answer is 1, hope this helps

1) Write an equation in point slope form
that passes through the point (1, 2) & slope
of -5

Answers

Answer:

y - 2 = -5 (x - 1)

Step-by-step explanation:

Formula for point-slope equation :

y - y₁ = m (x - x₁)

============================================================

Given :

⇒ Point (x₁, y₁) = (1, 2)

⇒ Slope (m) = -5

=============================================================

Solving :

⇒ y - 2 = -5 (x - 1)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Equation of line can be written in point - slope form as :

[tex]\qquad \sf  \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

y1 = y - coordinate of point = 2

x1 = x - coordinate of point = 1

m = slope = -5

So, required equation is ~

[tex]\qquad \sf  \dashrightarrow \:y - 2 = - 5(x - 1)[/tex]

Help asap immediately

Answers

[tex] \frac{9}{8 \: } = 1 \frac{1}{8} [/tex]

HOPE THIS HELPS :)

[tex] \sf \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \sf9 \div 8 = 1(1left)[/tex]

[tex]1 \frac{1}{8} [/tex]

#Hopethishelp

_______

Moumocl!

The box plot shows the number of home runs hit by 43 players during a baseball season.
Which statement best describes the data?
The number of data values between the lower
quartile and the median is less than the
number of data values between the upper
quartile and the median.
2
9
15 19
28
The number of data values between the lower
quartile and the median is greater than the
number of data values between the upper
quartile and the median.
|++++++
0 4 8 12 16 20 24 28 32
The spread between the lower quartile and
the median is less than the spread between
the upper quartile and the median.
The spread between the lower quartile and

Answers

The statement fourth "The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median" is correct.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The box plot is missing.

The box plot is shown (please refer to attached picture)

The given options are:

The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.The number of data values between the lower quartile and the median is greater than the number of data values between the upper quartile and the median.The spread between the lower quartile and the median is less than the spread between the upper quartile and the median.The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median.

As we know the property of box plot the difference between the lower and higher quartiles is greater than the difference between the upper and lower quartiles.

The spread between the lower quartile and the median:

= 15 - 9 = 6

= 19 - 15 = 4

Thus, the statement fourth "The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median" is correct.

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A dentist has 420 male and female patients that range in ages from 10 years old to 50 years old and up as shown in the table.
What is the experimental probability that the next patient will be female and in the age range 22-39?

Answers

The experimental probability that the next patient will be female and in the age range 22-39 is 56/420

What is the experimental probability?

Probability is the odds that a random event would happen. The odds usually lie between 0 and 1.

The experimental probability = number of female in the age range 22-39 / total number of patients

=  56/420

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Select the correct answer. Which expression is equivalent to the complex number 10 + 3i?​

Answers

The expression that is equivalent to the complex number 10 + 3i is (4+7i)-2i(2+3i)

Complex numbers

Complex numbers are square root of negative numbers. They are expressed as a + bi

Using the expression

(4+7i)-2i(2+3i)

Expand

4 + 7i - 4i -2i(3i)

4 + 3i - 2(-3)

4 + 6 + 3i

10 + 3i

Hence the expression that is equivalent to the complex number 10 + 3i is (4+7i)-2i(2+3i)

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Question 2: Find the equation of the line that has an x intercept of 2 and a y intercept of -6

Answers

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

Hello!

With an x - intercept of 2, the coordinate is (2, 0). With a y - intercept of -6, the coordinate is (0, -6).

We have to find the equation of the line that goes through these points.

The equation of a line is written in slope-intercept format: [tex]y = mx + b[/tex]

y = ordinate, y - valuem = slope, rate of changex = abscissa, x - valueb = y-interceptSlope

First let's find the slope using the slope formula: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Remember that a coordinate is written in (x, y) format.

[tex]\frac{-6 - 0}{0 - 2}[/tex][tex]\frac{-6}{-2}[/tex][tex]3[/tex]

So, we have the slope and the y - intercept. We can plug those into the equation.

[tex]y = mx + b[/tex][tex]y = 3x - 6[/tex]

The equation of the line is [tex]y = 3x - 6[/tex]

110- (5x) 70, 110- What is the value of x? 14 15 16 17​

Answers

The value of x is 14 because the sum of all angles in kite is 360 degree option first 14 is correct.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The question is in the picture please refer to the attached picture.

We know the sum of all angles in a kite is 360 degree

110 + (5x) + 110 + 70 = 360

290 + 5x = 360

5x = 70

x = 14

Thus, the value of x is 14 because the sum of all angles in kite is 360 degree option first 14 is correct.

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the the radius of a sphere is 8 cm. find the volume. round off to nearest tenth if necessary. use 3.14 for pi​

Answers

given,

radius of sphere , r = 8cm
We know that,
Volume of sphere = 4/3 pi r^3 cubic units

=> Volume of sphere , V = 4/3 x 3.14 x 8 x 8 x 8

=> Volume of sphere , V = 2143.573 units

Rounding of to nearest tenth , V =2143.58 units
Given:Radius= 8 centimeters To find:

The volume of the given sphere.

Solution:

[tex]\large\boxed{Formula:V = \frac{4}{3} \pi {r}^{3}}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve

Substitute the values according to the formula.

[tex]V = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex]V = 2143.573333 \: {cm}^{3} [/tex]

[tex]\large\boxed{= 2143.6 \: {cm}^{3} \: (nearest \: tenth)}[/tex]

Hence, the volume of the given sphere is 2143.6 cubic centimeters.

Determine the probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more. Then complete the statements.

The significance level is set at 5%, and the probability of the result is
%, which is
the significance level. The result is
.

Answers

The probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more is 0.036.

How to calculate the probability?

The probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more will be:

= (26 + 8 + 2)/1000

= 36/1000

= 0.036

The significance level is set at 5%, and the probability of the result is statistically significant because the probability of the difference is less than 5% significance level.

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Determine whether these two ratios make a proportion 5/9, 56/99. True or False

Answers

Answer: The answer is True .

The statement is false, these two ratios don't make a proportion.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

5/9, 56/99

we know, that, two ratios make a proportion if, a:b=c:d

but, here,

5/9= 5:9

56/99 = 56: 99

Hence, The statement is false, these two ratios don't make a proportion.

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Other Questions
Figure the amount of concrete (in cubic yards) required to pour a floor slab of the following dimensions: 18 24 4. Show both exact and rounded figures in the blanks provided How might this graph be different if the farmers had grown a wide variety of potato plants or had included other crops in their fields? Construct an explanation to support your answer. Construct an explanation to support your answer. Which information must be known about a compound to find the molecular formula from the empirical formula? AssessmentRead, analyze, then solve each problem. Answer each question.A. A bowl of mango jelly was poured into a 14 cm x 8 cm x 3cm rectangular container. If the mango jelly completely filledthe container, how much mango jelly was there?1. What is asked in the problem? __________________________2. Show your solutions. _________________________________3. State the final answer. ________________________________B. Ana is cleaning a box which is 6 dm long, 4 dm wide and 15dm tall. What is the volume of the box?4. What is asked in the problem? __________________________5. What are given? _____________________________________6. State the final answer. ________________________________C. Wenalyn baked a cassava cake which measures 18 cm x 10cm x 4 cm. She wants to share the cake with her twoclassmates so she cuts it into three parts all of the samesizes. How much cassava cake will each of her classmatesreceive?7. Show your solutions or illustration.8. What is the final answer? _____________________________D. A ream of bond paper is 28 cm long, 22 cm wide and 4 cmthick. It contains 500 sheets. If 250 sheets were removedfrom the ream of bond paper, what is the volume of theremaining sheets?9. Write the equation. __________________________________10.What is the final answer? ___________________________ I need help please ?!!!! How is the graph of the parent function of y = RootIndex 3 StartRoot 0.5 x EndRoot transformed to produce the graph y = RootIndex 3 StartRoot x EndRoot?It is horizontally stretched by a factor of mc031-3.It is vertically stretched by a factor of mc031It is translated left by mc031-5unit.It is translated right by mc031-6.unit. Kayla stacked her 1-inch cubes to make this rectangular prism.What is the volume of Kayla's prism?A.) 45 inB.) 55 inC.) 75 inD.) I don't know. which one is the answer Madelyn, the president and CEO of Anytime Accounting, has asked several of her managers and employees to help establish a statement to outline the fundamental purposes of their company. The result of this effort is likely to be a document known as a(n) What is the negative impact of treaties such as the North American Free Trade Agreement (NAFTA)? correct order of steps for cleaning and sanitizing What was the first country to legalize gay marriage?. which of the following is required for the sodium-potassium ions into an animal cell? If the given figure is sliced through points J. K. and L, which best describes the shape of the resulting cross-section?AOA parallelogramOB. trapezoidOC. rectangleOD. triangle A chemistry graduate student is studying the rate of this reaction:2Cl2O5g+2Cl2g5O2gShe fills a reaction vessel with Cl2O5 and measures its How was the French Revolution a dangerous idea What are the elements in this political cartoon ? Find the term that must be added to the equation x + 6x = 1 to make it into aperfect square. Which statement explains why Congress passed the Indian Removal Act in 1830? The Indian tribes refused to adopt white ways of life or care for their children. Congress overruled President Andrew Jackson's attempt to protect the Indian tribes. Whites wanted to take control of the Indian tribes' valuable land in the East. The Supreme Court ordered Congress to remove Indian tribes from the East. HURRY PLEASE! SCHOOL ENDS TOMMAROW!!!! HELLLP!!!! Which coordinate point is a solution to the linear equation? (The graph counts by 1s)