Solve The Following
( Solving equations)

Solve The Following ( Solving Equations)

Answers

Answer 1
1. 15/2 | 2. 1 … if you need examples just reply here
Answer 2

Answer:

a) x = 4

b) x = 1

Step-by-step explanation:

a) [tex]\frac{4x-1}{2} = x + 7[/tex] multiply both sides by 2 so we can simplify the fraction by getting rid of 2

4x - 1 = 2x + 7 transfer like terms to the same side of the equation

4x - 2x = 7 + 1

2x = 8 divide both sides by 2

x = 4

b) [tex]3x + 2 = \frac{2x+13}{3}[/tex] again, get rid of the fraction by multiplying both sides by 3

9x + 6 = 2x + 13 transfer like terms to the same side of the equation

9x - 2x = 13 - 6

7x = 7 divide both sides by 7

x = 1


Related Questions

a+a+b=14 b+b+c=08 a+b+c=18 b=

Answers

The value of b in the expression is -2.

How to find the variable in an expression?

a + a + b = 14

b + b + c = 8

a + b + c = 18

Therefore,

2a + b = 14

2b + c = 8

c = 8 - 2b

Hence,

a + b + 8 - 2b = 18

a - b = 18 - 8

a - b = 10

2a + b = 14

a - b = 10

3a = 24

a = 8

8 - b = 10

b = 8 - 10

b = -2

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Answer:

a = 8

b = -2

c = 12

Step-by-step explanation:

a + a + b = 14

2a + b = 14 ⇒ ( 1 )

b + b + c = 8

2b + c = 8 ⇒ ( 2 )

a + b + c = 18 ⇒ ( 3 )

First, let us make a as the subject in equation 1.

2a + b = 14

2a = 14 - b

[tex]a=\frac{14-b}{2} \\a = 7-\frac{b}{2}[/tex]   ⇒ ( 4 )

Let us make c as the subject in equation 2.

2b + c = 8

c = 8 - 2b ⇒ ( 5 )

Now it is clear for us that, we can replace a & c with ( 7 - b / 2 ) & ( 8 - 2b ) respectively.        

And now let us solve the equation 3 to find the value of b.

[tex]a+b+c=18\\\\7-\frac{b}{2} +b+8-2b=18\\\\Combine\: \:like\:\: terms.\\\\[/tex]

[tex]15-\frac{b}{2} -b=18\\\\\frac{15*2}{1*2} -\frac{b}{2}-\frac{b*2}{1*2}=18\\\\\frac{30}{2} -\frac{b}{2}-\frac{2b}{2}=18\\\\\frac{30-3b}{2} =\frac{18}{1} \\\\Use\:\: cross\;\: multiplication[/tex]

[tex]30-3b=18*2\\\\30-3b=36\\\\30-36=3b\\\\-6=3b\\\\-2 = b[/tex]

And now let us find  the value of a

For that, let us use the equation 1. There, we can replace b with ( -2 ) to find the value of a.

[tex]2a+b=14\\\\2a-2=14\\\\2a = 14+2\\\\2a=16\\\\a=8[/tex]

Now, let us find the value of c.

For that, let us take the equation 2. There also, we can replace b with -2 to find the value of c.

[tex]2b+c=8\\\\2*-2+c=8\\\\-4+c=8\\\\c=8+4\\\\c=12[/tex]

What will be the answer for 25 out of 100?

Answers

Hello !

[tex]\frac{25}{100}=0.25[/tex]

Have a nice day ;)

Answer:

25

Step-by-step explanation:

25

Answer: 25% of 100 is 25.

Using the function p(t)=5*2^t, estimate the boa constrictor population in 2 years, 3 years, and 4 years. Show your work.

Answers

Answer:

2 years: 203 years: 404 years: 80

Step-by-step explanation:

There are several ways you can find the values of an exponential function for different values of the independent variable. You can read them from its graph, evaluate the formula, or recognize the relationship between the values.

P(t) for different t

The graph shows you the population is 10 in year 1, up by a factor of 2 from the population of 5 in year 0. The exponential nature of the function means the population will double in each of the next few years:

  2 years: 2 × 10 = 20

  3 years: 2 × 20 = 40

  4 years: 2 × 40 = 80

__

Additional comment

You can always use a calculator to evaluate the function for different values of t.

A model without any simplifying assumptions a.provides simplified solutions to complex problems. b.is highly complex and likely unworkable. c.excludes important predictive variables. d.is very helpful for solving tough, real-world problems.

Answers

A model without any simplifying assumptions b.is highly complex and likely unworkable.

As their call implies, simplifying assumptions are assumptions that are protected within the version to simplify the evaluation as tons as feasible. While a simplified version now does not predict the conduct of the actual issue within perfect bounds, too many simplifying assumptions have been made.

While a scientific version enables us to make predictions, it's more valued. As clinical models are representations of simplified explanations, they do not are looking for to explain each scenario or every detail. This means that medical models often aren't equal to the 'real international' from which they are derived.

Mathematical models can help college students apprehend and discover the that means of equations or valuable relationships.

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3. What is the distance from (0,0) to (24,10) on the
coordinate plane?

Answers

[tex]\sqrt{(24-0)^{2}+(10-0)^{2}}=\boxed{26}[/tex]

Answer:

26

Step-by-step explanation:

√(24 - 0)2 + (10 - 0)2

= √(24)2 + (10)2

= √676 and that would equal

26

how to convert 798 in the base of 2

Answers

Subtract the largest power of 2 from 798 such that the difference is not negative.

2⁹ = 512 and 2¹⁰ = 1024, so the largest power of 2 smaller than 798 is 2⁹, and

798 = 512 + 286 = 2⁹ + 286

Repeat this process with the remainder, 286.

2⁸ = 256, so

286 = 256 + 30 = 2⁸ + 30

⇒   798 = 2⁹ + 2⁸ + 30

2⁴ = 16 and 2⁵ = 32, so

30 = 16 + 14 = 2⁴ + 14

⇒   798 = 2⁹ + 2⁸ + 2⁴ + 14

2³ = 8, so

14 = 8 + 6 = 2³ + 6

⇒   798 = 2⁹ + 2⁸ + 2⁴ + 2³ + 6

2² = 4, so

6 = 4 + 2 = 2² + 2¹

⇒   798 = 2⁹ + 2⁸ + 2⁴ + 2³ + 2² + 2¹

or more completely,

798 = 1×2⁹ + 1×2⁸ + 0×2⁷ + 0×2⁶ + 0×2⁵ + 1×2⁴ + 1×2³ + 1×2² + 1×2¹ + 0×2⁰

Then the base-2 representation of 798 is

11 0001 1110₂

A graph titled Cost of a Lunch in a School's Cafeteria has Days since school started on the x-axis and cost of lunch (dollars) on the y-axis. A horizontal line is at y = 2.5.

Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.

Answers

The true statement about the graph's slope is (c) Its slope is zero.

How to determine the true statement?

From the question, we have:

A horizontal line is at y = 2.5.

The horizontal line implies that the cost of lunch do not change

Horizontal lines have a slope of 0

Hence, the true statement about the graph's slope is (c) Its slope is zero.

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HELP PLEASEEEE
Zarea finds 3√6,000 and shows her work below.

Answers

1000

^3rad? should be equal to 10. So, 10^3 is equal to 1000

10. What is the perimeter of the triangle with sides 15 in, 20 in, and 25 in?
O 72 in
60 in
300 in
O 150 in
k

Answers

Answer:

P = 60 inches

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. So, to find perimeter, add up all the sides.

The side lengths were given, add them:

15 + 20 + 25

= 60

The perimeter is 60 inches.

Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answers

An expression for the number of tiles used by Bruce and Felicia are 5x + 2 and 5x + 5 respectively.

What is an expression?

An expression refers to a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Note: x represents the number of tiles in a box.

For Bruce, we have:

Expression = 3x + 2x + 2

Expression = 5x + 2.

For Felicia, we have:

Expression = 5x + 5.

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Complete Question:

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.

Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answer:

Bruce: y = 5x + 2

Felicia: y = 5x + 5

Polygon LMNOP was transformed to create polygon L'M'N'O'P'.2 pentagons have identical side lengths and angle measures. The points are labeled with the same letters.

Which angle corresponds to AngleN?
AngleN'
AngleO
AngleO'
AngleP'

Answers

The angle that corresponds to ∠N after transformation is: A. ∠N'.

What is Transformation?

Transformation is a process of manipulating a figure to create an identical figure either by dilation, rotation, or translation.

In the transformation performed in the image shown below, the new image formed is congruent to the original figure. This means polygon LMNOP ≅ L'M'N'O'P.

Therefore, the angle that corresponds to angle N is: A. Angle N'

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Answer: A). Angle N'

Step-by-step explanation:

let f(x) = x^3-3x^2+2 and g(x) = x^2 -6x+11 Enter the value of x such that f(x)=g(x)

Answers

The value of x such that f(x) = g(x) is x = 3

Quadratic equation

Given the following expressions as shown

f(x) = x^3-3x^2+2 and;

g(x) = x^2 -6x+11

Equate the expressions

x^3-3x^2+2 = x^2 -6x+11

Equate to zero

x^3-3x^2-x^2+2-11 = 0

x^3-3x^2-x^2 + 6x - 9 = 0

x^3-4x^2+6x-9 = 0

Factorize

On factorizing the value of x = 3

Hence the value of x such that f(x) = g(x) is x = 3

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3. Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 37 ft, 35 ft, and 12 ft
False, these measures do not form a right triangle.
True, these measures do form a right triangle.

Answers

Answer:

false

Step-by-step explanation:

these measure do not form a right triangle

If f(x) = 5x - 7, what is {3)?
O A. 22
O B. 2
O c. 1
• D. 8

Answers

Answer:  8

Work Shown:

f(x) = 5x - 7

f(3) = 5(3) - 7 .... every x replaced with 3

f(3) = 15 - 7

f(3) = 8

Option - D is ✔ (8)

[tex] \: [/tex]

Given :

f(x) = 5x - 7x = 3

To Find :

What is the value of x ?

Calculating the value of x :

[tex]\sf : \implies \: 5x - 7[/tex]

[tex]\sf : \implies \: 5(3) - 7[/tex]

[tex]\sf : \implies \: 15 - 7[/tex]

[tex]\bf : \implies \: 8[/tex]

Hence,

[tex] \implies \boxed{ \bf \: \therefore \: The \: value \: of \: x \: is \: 8 \: } \\ \\ [/tex]

According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?
O Place compass at point D, and draw an arc that intersects the arc above DF.
1
O Place compass at point F, and draw an arc that intersects the arc above DF-
O Place compass at point P, and draw an arc above DF
O Place compass at point P, and draw an arc below DF

Answers

The next step in constructing a line perpendicular to a point on the line is A. Place a compass at point D, and draw an arc that intersects the arc above line DF.


Calculations and Parameters

To make a perpendicular line:

Draw a line segment like DFKeep the point on D and make an arc by increasing the length of the compassKeep the point on F and make an arc like same as beforeName the point as any meeting on the drawn arcConnect it to the point with P

Therefore, the next step would be to Place a compass at point D, and draw an arc that intersects the arc above line DF.

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The diagram shows AKLM. Which term describes point N?
K
L
A. Orthocenter
N
B. Circumcenter
C. Centroid
D. Incenter

Answers

The term that describes point N is centroid. The correct option is C. Centroid

Centroid of a triangle

The centroid of a triangle is the point in which the three medians of the triangle intersect.

The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

In the given diagram, we can observe that the lines join the midpoints of each side to the corresponding opposite vertex.

Point N is the point where the lines intersect.

Hence, the term that describes point N is centroid. The correct option is C. Centroid

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Answer:

B. Circumcenter

Have an Amazing day/night!!

What can be concluded about the line represented in the table? Select 3 options.. x y –6 –7 2 –3 8 0 The slope is 2. The slope is One-half. The y-intercept is –4. The y-intercept is 8. The points (–2, –5) and (8, 0) are also on the line. The points (–5, –2) and (1, 10) are also on the line.

Answers

The correct statements regarding the linear function are given as follows:

The slope is 1/2.The y-intercept is -4.The points (–2, –5) and (8, 0) are also on the line.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the line goes through points (-6,-7) and (8,0), hence the slope is given by:

[tex]m = \frac{0 - (-7)}{8 - (-6)} = \frac{7}{14} = \frac{1}{2} = 0.5[/tex]

Hence:

y = 0.5x + b

When x = 8, y = 0, hence the y-intercept is given as follows:

0 = 0.5(8) + b

b = -4.

When x = -2, we have that:

y = 0.5(-2) - 4 = -1 - 4 = -5.

The points (–2, –5) and (8, 0) are also on the line.

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Answer:

B,C,E

Step-by-step explanation:

took the test on edge and got 100

Do anyone know thissss

Answers

Answer: False

Step-by-step explanation:

   This is not a function because the single input [x] of 6 has outputs [y] of 2 and 4, and the single input [x] of 12 has outputs [y] of 2 and 4.

   A function must have only one output [y-value] for every input [x-value].

Assume that they all agree on the sample size and the sample mean use the pairs below to select the team that has the smallest sample standard deviation?

Answers

Step-by-step explanation:

A.Confidence Level: 99.7%; Confidence Interval: 42 to 48 

B.Confidence Level: 95%; Confidence Interval: 43 to 47

 C.Confidence Level: 68%; Confidence Interval: 44 to 46 

D.Confidence Level: 95%; Confidence Interval: 44 to 46

A Virus is 30 Nanometres long.

Using the information below, calculate the length, in millimetres, of the virus.

1 metre = 1,000,000 Nanometres.

Answers

Answer:

0.00003mm

Step-by-step explanation:

We know that 1mm=1000000nm

To convert small unit to big we divide

So 30÷1000000=0.00003nm

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $31.3, and the standard deviation is known to be $9.4. How large of a sample would be required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.46

Answers

The sample size which is required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.46 is 866.

Given mean income of $31.3 and standard  deviation of $9.4.

We have to calculate the  sample size of confidence interval of 85% and at an error of $0.46.

Margin of error is basically the difference between actual values and calculated values.

Mean =$31.3

Standard deviation=$9.4

Confidence level=85%

Margin of error=$0.46

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

0.46=1.44*9.4/[tex]\sqrt{n}[/tex]

[tex]\sqrt{n}[/tex]=1.44*9.4/0.46

[tex]\sqrt{n}[/tex]=29.42

squaring both sides

n=865.53

Round off and we get the following:

n=866.

Hence the sample size needed to estimate the mean per capita income at the 85% level of confidence is 866.

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Simplify fully 4m/20m leaving your answer in index form

Answers

The index form of the expression is 5^-1m

How to determine the index form

Note that index form means in a power form

We have that;

= 4m/20m

Find the similar factor

= 1/5m

The inverse of a number, is that number to the power of -1

Then,

1/5m = 5^-1m

Thus, the index form of the expression is 5^-1m

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Find the two inequalities equations graphed below please.

Answers

The two inequalities are:

a) y ≤ -2x + 5

b) y < 3x - 14

How to find the two graphed inequalities?

On the first graph, we can see that the shaded region is below the line and that the line is solid, so the inequality is of the form:

y ≤ line.

Now, remember that if the line passes through (x₁, y₁) and (x₂, y₂).

Then the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

We can see that the line passes through (2, 1) and (-1, 3)

Then the slope is:

[tex]a = \frac{1 - 3}{2 - 1} = -2[/tex]

So the line is:

y = -2*x + b

To find the value of b, we use the point (2, 1), then we get:

1 = -2*2 + b

1 = -4 + b

1 + 4 = b = 5

Then the first inequality is:

y ≤ -2x + 5

Now let's go to the other line equation, again the shaded region is below the line and this time the line is dashed, then:

y < line.

Two points on the line are (5, 1) and (4, -2)

Then the slope is:

[tex]a = \frac{1 - (-2)}{5 - 4} = 3[/tex]

y = 3*x + b

To find the value of b, we use the point (5, 1)

Then:

1 = 3*5 + b

1 = 15 + b

1 - 15 = b = -14

Then the inequality is:

y < 3x - 14

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5. Please answer the question on exponential growth or decay. Round to
the nearest whole number or penny if the question is concerning money if
necessary
For tax purposes, a car rental company
assumes each car in their fleet depreciates
by 7% per year. If the initial value of a
car is $32,200.00, what will the value be
when the car is 9 years old?

Answers

The value of this car when it is 9 years old is equal to $16,757.00.

How to calculate the value?

In order to determine the value of this car when it is 9 years old, we would use an exponential function which also relates to compound interest as follows:

A = P(1 - r)^t

Substituting the given parameters into the formula, we have;

A = 32,200(1 - 0.07)^9

A = 32,200(0.93)^9

A = 32,200 × 0.5204

A = $16,757.00.

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What is the solution to the equation 3 +6=2​

Answers

Answer: no solution

Step-by-step explanation:

if we simplify this equation, we derive that 9=2.

this is a false statement, which means this equation has no real solutions.

Suppose water was being drained at from a conical tank. The radius is decreasing at a rate of 2 inch per minute and the height is decreasing at 4 inches per minute. Find the change in the volume when the height is 5 inches and the radius is 6 inches.

Answers

The change in volume is -88π

Volume?

The volume is nothing but the amount of space occupied by a three-dimensional figure as measured in cubic units.

What is volume change?

Volume Change is defined as the variation in the existing volume of the service type which is provided by the Supplier under the Agreement

Given:

The radius is decreasing at 2 inches per minute

The height is given as decreasing at 4 inches per minute

So let [tex]\frac{dr}{dt}=-2[/tex] and

[tex]\frac{dh}{dt}=-4[/tex]

and we have radius r=6,

                     height h=5

The volume of the cone is represented by V as V=[tex]\frac{1}{3}\pi r^{2}h[/tex]

Then

[tex]\frac{dv}{dt}=\frac{\pi }{3}[r^{2}\frac{dh}{dt} +h*2r\frac{dr}{dt}][/tex]

[tex]=\frac{\pi }{3}[6^{2}(-4)+5*2(6)(-2)][/tex]

[tex]=\frac{\pi }{3}[36(-4)+5(12)(-2)]\\ =\frac{\pi }{3}[-144+(-120)]\\ =\frac{-264}{3}\pi \\ =-88\pi[/tex]

So the volume change is [tex]-88\pi[/tex]

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Nosaira solved an equation. Her work is shown below:
3(2x + 1 ) = 2(x + 1) + 1
6x + 3 = 2x + 2 + 1
6x + 3 = 2x + 3
4x = 0
x = 0
She determines the equation has no solution.
Which best describes Nosaira’s work and answer?
Her work is correct, but there is one solution rather than no solution.
Her work is correct and her interpretation of the answer is correct.
Her work is incorrect. She distributed incorrectly.
Her work is incorrect. She moved terms across the equals sign incorrectly.

Answers

Her work is correct, but there is one solution rather than no solution.

Solving linear equations

Linear equations are equations that has a degree of 1. Given the equation below;

3(2x + 1 ) = 2(x + 1) + 1

Expand

3(2x) + 3(1) = 2(x) + 2(1) + 1

Simplify

6x + 3 =2x + 2 + 2

6x + 3 = 2x + 3

Collect the like term

6x - 2x = 3 - 3

4x = 0

x =0

Hence we can conclude that Her work is correct, but there is one solution rather than no solution.

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61. The true proportion p of people who give a favorable
rating to Congress is 8% with a margin of error of
1.5%. Describe this statement using an absolute
value equation.

Answers

Answer:

The expression for the statement using absolute value notation is [tex]$|p-0.08| \leq 0.015$[/tex].

Step-by-step explanation:

It is given in the question that the true proportion p of people who give a favourable rating to Congress is 8% with a margin of error of 1.5%. It is required to express the statement using absolute value notation.

To express the statement using absolute value notation, deduce the statement in the form of an equation.

The error margin for the hypothesis is 1.5% which implies the absolute difference between p and 8% should be less than or equal to 1.5%.[tex]$$|p-0.08| \leq 0.015$$[/tex]

Hi I don't know how to do this question

Answers

Answer:

7 (option B)

Step-by-step explanation:

the area of a trapezoid can be found using the formula:

[tex]A = \frac{a+b}{2}h[/tex]

where

A: area

a: base

b: other base

h: height

here, we can plug in our known variables to solve for h (height)

A: 119

a: 10

b: 24

h: ??

[tex]A = \frac{a+b}{2}h[/tex]

[tex]119 = \frac{10+24}{2}h[/tex]

{now, simplify!}

[tex]119 = \frac{10+24}{2}h[/tex]         {add 10 + 24}

[tex]119 = \frac{34}{2}h[/tex]            {divide 34 by 2}

119 = 17 · h

119     =    17 · h

÷ 17       ÷17             {divide both sides by 17to isolate h}

7 = h

So, the height (h) of this trapezoid is 7

hope this helps! have a lovely day :)

Find the surface area of the composite figure.
20 in.
11 in.
5 in.
19 in
12 in.
12 in.
SA
11 in.
5 in.
20 in.
[?] in. 2

Answers

By using the area formulae for triangles and rectangles and the concept of surface area of the composite figure is equal to 1108 square inches.

What is the surface area of the composite figure?

The surface area is the area of all faces of a solid. In this case, we must sum the areas of seven rectangular and two triangular faces to determine the surface area:

A = 2 · (0.5) · (12 in) · (9 in) + 2 · (11 in) · (20 in) + 2 · (5 in) · (20 in) + 2 · (5 in) · (12 in) + (12 in) · (20 in)

A = 1108 in²

By using the area formulae for triangles and rectangles and the concept of surface area of the composite figure is equal to 1108 square inches.

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Which statement best describes the effect of the loss of a keystone species from an ecosystem?A) A new keystone species would take the place of the old one.B) The populations of other species in the ecosystem would fluctuate dramatically.C) Species from nearby ecosystems would invade and overtake the unstable ecosystem.D) Organisms that depended upon the keystone species would quickly adapt to a different species. what does it means to have two person sitting on this two dangerous bombs in the image below? helllppppppppppp please Describe two of the four types of project shut down and explain how they work from start to finish. Under what circumstances do you think these two types of project shut down might be used? Let t be the number of weeks Dr. Elder is on his diet and D(t) be a linear equation that models his weight in pounds. At the beginning of his diet, t=0, Dr. Elder weighs 265 pounds, D(0)=265. After nine weeks, t=9, he now weighs 229 pounds, D(9)=229. Find the slope the objective function of linear programming model should be Have you ever been in the position of being caught between two people who are disagreeing or actually fighting? If you havent, imagine what it might be like. This is a little bit how America felt at the beginning of the War of 1812. What if you didnt want to take sides, but you were being pressured by both of the other people? What are some of the ways you would handle this situation Health care is one of the most hotly debated issues in the United States today, and its easy to see why. Approximately 50 million people living in the United States either lack health insurance entirely or are inadequately covered. These peoples health and financial security are at risk. My brother Bob knows all about this risk his first child was born with a damaged heart. The cost of the treatment was so high that Bob had to declare bankruptcy. It seems so obvious that health care should be available to all, regardless of their ability to pay. Its just common sense.what type of evidence is shown through each quotaion? vincent ordered pizza for him and his wife for dinner. when they had finished, they realized that 5/8 of the pizza was gone. for lunch the next day, vincent decided to eat 1/4 of what was left. how much was left after lunch? How do you simplify 6 by the power of negative 2 multiplied by 6 by the power of 3 The fact that a few improvements in a few key areas of operations will have more impact than many improvements in many other areas is consistent with the Please help ill give whoever answers the best the brainliest answer :))) A spherical ball is inflated so that its radius increases in the ratio 4:3. Find the ratio in which its volume is increased An obsolete scientific theory is a scientific theory that, though once widely accepted, has since been discarded. For example, the Flat Earth theory, which states that the Earth's shape is flat, like that of a paper, is an obsolete scientific theory. This is because it was later proven that the Earth's shape is not flat, but almost spherical. Which of the following is another obsolete scientific theory? (-1,8) and (8,5). this is a coordinate distance wuestion that i rly need help on Peter and rosemary grant began studying the galapagos finches in 1973. For about 40 years, they studied the finches on daphne major. Why was this an ideal place to study the evolution of the finches?. discuss fundamental epistemological debate concerning the source of human knowledge 1. Nitrogen is essential nutrition in plant growth. But farmers who cultivateleguminous plants like pea plants and grams do not apply nitrogen fertilizersduring cultivation. Why? How does this practice help the farmers? What is the claim in this passage? social media played a role in the uprisings of the arab spring. Social media had a minimal impact on the protests. President zine el abidine ben ali was a proponent of social media use in the uprisings. The older generation organized the protests using social media. A jet airplane reaches 892. KM/H on a certain flight. What does synthesis cover in 14.0 minutes? Set up the map but dont do any of it just leave your answer as a math expression.