Please answer this for me¡ <3

Please Answer This For Me &lt;3

Answers

Answer 1

Answer:

 3⁶

------

 4¹⁵

Step-by-step explanation:

(        4⁻³      )³

(  -------------  )

(   3⁻² × 4²   )

Switch numbers with negative exponents

(         3²     )³

(  -------------  )

(   4³ × 4²   )

(         9     )³

(  -------------  )

(   64 × 16  )

(       9         )³

(  -------------  )

  (   1024  )

Multiply 9 and 1024 by the 3rd power

    729  

 -------------  

1,073,741,824

Simplified would be:

 3⁶

------

 4¹⁵

I hope this helps!


Related Questions

Write the sentence as a conditional.
4x-9 = 19

Answers

The sentence for 4x-9 = 19 is "when 9 is subtracted from 4 times a number, it equals 19."

What in mathematics is a conditional sentence?

Definition. A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.

We have a conditional statement, for instance. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.

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Find ƒ(−8) if ƒ(x) = −9x – 12​

Answers

A function in the mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as function's domain and codomain, respectively. Here f(x)= 60.

What is a function?

A function in the mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as function's domain and codomain, respectively.

Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest documented treatment of the concept of function. Initially, the functions represented the idealized relationship between two changing quantities. A planet's position, for the instance, depends on time. In the past, idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable (that is, they had a high degree of regularity). The realms of application of the concept of a function were substantially expanded at the conclusion of the 19th century when it was defined in terms of set theory.

The most common letters used to represent functions are f, g, and h. A function's value at an element of its domain x is denoted by the symbol f(x), and the numerical value obtained by evaluating the function at a specific input value is denoted by replacing x with that value. For example, the value of f at x = 4 is denoted by the symbol f(x) (4). The value of the function at, say, x = 4 may be denoted by E|x=4 when the function has no name and is represented by the expression E.

if, f(x)= (-8),

f(-8)= (-9)*(-8)-12 = 60

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Timmy has stamps. He wants to organize them on pages that hold stamps each. He has pages. Does Timmy have enough pages to organize all his​ stamps?

Answers

Using  division we can infer that 50 pages will not be enough.

Division is one of the four basic arithmetic operations, or the process by which two numbers are added together to produce a new number.

Multiplication, subtraction , and  addition make up the remaining operations. The division with remainder, also known as Euclidean division, of two natural numbers produces an integer quotient, which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that is left over, when it is impossible to allocate any more full chunks of the size of the second number during the computation of the quotient after the division.

Timmy has 810 stamps.

Now each page can hold 16 stamps and he has 50 pages.

Now we will divide 810 by 16 to calculate the number of pages required to put all the stamps.

∴ 810 ÷ 16 = 50 remainder 10.

Therefore after completing the 50 pages there are 10 stamps left.

Hence from division we can infer that 50 pages will not be enough.

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Timmy has 810 stamps. He wants to organize them on pages that hold 16 stamps each. He has 50 pages. Does Timmy have enough pages to organize all his​ stamps?

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Please answer the question

Answers

The four students; Michal, Hypatia, clodoveo and Jamal's attempt to explain the expression "3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³" is incorrect

Simplification of expression

This means to make simpler, either by reducing in complexity, reducing to component parts, or making easier to understand.

3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³

Using PEMDAS

P = parenthesisE = ExponentM = multiplicationD = divisionA = additionS = Subtraction

Correct workings:

3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³

3 - 5 × (1 × 2)² - 1 + 2(-1)³

= 3 - 5 × (2)² - 1 + 2(-1)

= 3 - 5 × (4) - 1 - 2

= 3 - 20 - 3

= - 20

Michal made the mistake of writing 2 instead of 20 Hypatia made the mistake of doing 3 - 5 first instead of opening the parenthesis according to PEMDASClodoveo's mistake was finding the cube of -1 to be 1 instead of -1Jamal's mistake was missing the 2 in 2(-1)³

In conclusion, the correct simplification of the expression "3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³" is -20

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please help with portion B. thank you

Answers

Starting with part a, question (i):

Find the average rate of change in both populations between 2002 and 2012.

Recall that the average rate of change of a function f(x) in the interval [ a, b] is given by the quotient:

rate of change = ( f(b) - f(a) ) / (b - a)

Therefore, for our population P1 case on the years 2002 and 2012 we have:

[ P1(2012) - P1(2002) ] / (2012 - 2002) = [62 - 42] / 10 = 20 / 10 = 2

for population P2 we have:

22 [72 - 82] /10 = -10/10 = -1

You can proceed doing the same process for the other cases (ii) and (iii).

Case (ii)Now part b of the problem:

Rate of change between 2002 and 2019:

99 [ 76 - 42] / ( 17) = 534 / 17 = 2

2(929 9[ 65 - 82] / 17 = -17 / 17 = -1

Case (iii)

Rate of change between 2007 and 2019:

9797 [76 - 52] / 12 = 24/12 = 2

22 [65 - 77] / 12 = -12 / 12 = -1

We see that the rates of change for each population remained constant over the years.

What we noticed in the table regarding both populations, is that while population P1 is increasing over the years, population P2 is going down in numbers year after year.

We can say therefore that P1 is INCREASING, while P2 is DECREASING. And that the rate of change they experienced was constant over the years.

Last oneee helpppp
Factor Completely. 6x^3 + 10x^2 - 4x

Answers

Answer: 2x(3x−1)(x+2)

Step-by-step explanation:

Answer: 2x(3x-1)(x+2)

Step-by-step explanation:

6x^3 + 10x^2 - 4x=

2x(3x^2 + 5x - 2)=

2x(3x^2 + 6x - x - 2)=

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


2. There is a 13-foot ladder leaning against the side of a building. The ladder reaches up the building 12 feet.
How far is the bottom of the ladder from the bottom of the building? Picture

Answers

5 feet:
look at picture for steps:

For each value of v, determine wether it is a solution to 1-7v=-69.

Answers

For v = -4, 0, and 8 are not solutions of the equation 1 - 7v = - 69. The solution of the equation is v = 10.

Consider the equation,

1 - 7v = - 69

For the value of v = - 4,

1 - 7v = - 69

1 - 7 × - 4 = - 69

1 + 28 ≠ - 69

29 ≠ - 69

Hence, v = - 4 is not a solution.

For v = 10,

1 - 7v = - 69

1 - 7 × 10 = - 69

1 - 70 = - 69

- 69 = - 69

Therefore, v = 10 is a solution.

For the value of v = 0,

1 - 7v = - 69

1 - 7 × 0 = - 69

1 ≠ - 69

Hence, v = 0 is not a solution.

For the value of v = 8,

1 - 7v = - 69

1 - 7 × 8 = - 69

1 - 64 ≠ - 69

- 63 ≠ - 69

Hence, v = 8 is not a solution.

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PLSSSS HELPPPP

ABCD is a rectangle. Trapezoid AEFB is congruent to
A
trapezoid CFED. G is the midpoint of segment EF.
E
Select all the ways we could describe the rigid transformation that takes AEFBto CFED.

Answers

Answer:

Rotate AEFB 180 degrees counterclockwise around point G

Rotate AEFB 180 degrees clockwise around point G

Translate AEFB by the directed line segment from F to E, and then rotate 180 degrees clockwise around point E.    

Step-by-step explanation:

Which line matches the equation?

Answers

Answer:

23) D

24) A

25) C

26) B

Step-by-step explanation:

23)

4x + 4y = -8  Let's find the intercepts.  The x intercept is when y = 0 and the y intercept is when x = 0

Let y = 0

4x + 4y = -8

4x = -8

x = -2

(-2,0)

4x + 4y = -8

Let x = 0

4y = -8

y = -2

(0,-2)

We are looking for the line that goes through the points (-2,0) and (0,-2)  That is line D.

24)

3x -2y = -6

Let y = 0

3x = -6

x = -2

(-2,0)

Let x = 0

-2y =-6

y = 3

(0,3)

We are looking for the line that goes through the points (-2,0) and (0,3).  That is line A.

25)

x + 2y = 2

Let y = 0

x = 2

(2,0)

Let x = 0

2y = 2

y = 1

(0,1)

We are looking for the line that goes through the points (2,0) and (0,1).  That is line C

26)

3x - y = 3

Let y = 0

3x = 3

x= 1

(1,0)

Let x  = 0

-y = 3

y= -3

(0, -3)

we are looking for the line that goes through the points (1,0) and (0, -3) which is line B

Answer: 23. D   24. A   25. C   26. B

Step-by-step explanation:

                              y=mx+b

The intersection of the straight line with the y-axis equals b

23.

4x+4y=-8

Divide both parts of the equation by 4:

x+y=-2

x+y-x=-2-x

y=-x-2

⇒b=-2 (D)

24.

3x-2y=-6

3x-2y+2y=-6+2y

3x=2y-6

3x+6=2y-6+6

3x+6=2y

Divide both parts of the equation by 2:

1,5x+3=y

⇒ b=3  (A)

25.

x+2y=2

x+2y-x=2-x

2y=-x+2

Divide both parts of the equation by 2:

y=-0.5x+1

⇒ b=1  (C)

26.

3x-y=3

3x-y+y=3+y

3x=y+3

3x-3=y+3-3

3x-3=y

⇒ b=-3  (B)

Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
cups of flour

Answers

Answer:

4/5 cup

Step-by-step explanation:

Answer: 1 1/2

Step-by-step explanation:

1/2 divided 1/3  = 3/2 = 1 1/2

1/2 divided 1/3

= 1/2 x 3/1

1 × 3

2 × 1

= 3/2

= 1 1/2

11. What is the length of the missing side, x?
40 in.
51°
Your answer
74°
35 in.
74°
X
49 in.
55°

Answers

Answer:

x = 40 in

Step-by-step explanation:

the missing angle in the triangle on the left is

180° - (74 + 51)° = 180° - 125° = 55°

the missing angle in the triangle on the right is

180° - (74 + 55)° = 180° - 129° = 51°

the 2 triangles have 3 pairs of congruent angles and are therefore congruent.

Corresponding sides and angles are then congruent

consider the corresponding sides opposite 74° , that is x and 40 in , so

x = 40 in

Question 5 only need help asap

Answers

The number of runs that Jack must score will be 90.

How to calculate the value?

It should be noted that the mean score from 8 matches is 45. Therefore, the total score will be:

= 8 × 45

= 360

When the coach says that he must increase the mean to 50 in the next match, the total score will be:

= 50 × 9

= 450

Therefore, the number of points that must be scored will be:

= 450 - 360

= 90

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When rolling 3 standard number cubes, the probability of getting all three numbers to match is 6/216. What is the probability that the three numbers do not all match?



If your answer is a repeating decimal, type the repeated portion of the decimal only once.



For example:


for you only type in 3.6


for you only type in 0.45



copied for free from openupresources.org

Answers

Is Tishri rifle with the guns that you have gun in the king or something in that bc of you a gun or not fake or a gun or something or just a cop or a mod or a gang owner or not fake or not even in a general area or a gun store in where you

Describe the type of correlation between the two variables on your graph. How do you know?

Answers

A graph's correlation between two variables reveals the relationship between them. The correlation is given a name based on the characteristics of the variables represented on the graphs.

What does the term correlation mean?

The data points of a person with two different factors are related in a scatterplot. The term "correlation" refers to this connection.

A correlation is the relationship between any two variables represented on any graph.

The correlation is divided into three main categories based on the sort of relationship between the variables. Those are

i) Positively correlation

ii) Negative correlation

iii) No correlation

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Work clothes costing $25.95, $23.95, $26.50, $39.95, and $41.25.

Answers

I’m not sure what you want done here but the total sum is 157.6

Find the amount in a continuously compounded account for the given conditions.

Principle: $5000
Annual Interest Rate: 6.9%
Time: 30 years

Round to the nearest cent and do not include the $ symbol.

Answers

Answer:

A= 5000 e

A= 39,624.12

Step-by-step explanation:

Answer:

no round to the nearest cant and do no

Directions - Multiply the binomials.
(3x³ + 2x) (x³ − 5) =

Answers

Answer:

3x^6-15x^3+2x^4-10x

Step-by-step explanation:

can someone help me with work being shown?

Answers

Answer:

D. 12(2x − 3) > 60

Step-by-step explanation:

Area of rectangle = length x width

The length of the rectangle is 12 feet, and the width is (2x - 3) feet.

Area = 12 x (2x - 3)

= 12(2x - 3)

From the given question,

area of rectangle > 60 square feet

So that;

12(2x - 3) > 60

24x - 36 > 60

24x > 60 + 36

24x > 96

Divide both sides by 24, to have;

=

x > 4

Therefore,

width = (2x -3)

since x > 4, then;

width > (2x4 - 3)

> 8 -3

width > 5 feet

Thus,

length x width > 60

Help me with this .identify the pairs

Answers

∠GML ≅ ∠HMJ by the Vertical Angles Congruence Theorem.

∠GMH ≅ ∠LMJ by the Vertical Angles Congruence Theorem.

∠GMK ≅ ∠JMK by the Right Angles Congruence Theorem. They form a linear pair which means they are supplementary by the Linear pair Postulate and because one is a right angle so is the other by the Subtraction Property of Equality.

What is the Vertical Angles Congruence Theorem?

According to the congruence theorem of vertical angles or angles that are vertically opposing, two opposing vertical angles that are created when two lines intersect one other are always equal.

So from the figure, we can determine the vertically opposite angles,

∠GML ≅ ∠HMJ

Similarly, ∠GMH ≅ ∠LMJ

The angles ∠GMK and ∠JMK form a linear pair and are supplementary by the linear pair postulate which states that the two angles in the linear pair add up to 180°.

We know that all right angles are congruent from the Right Angle Congruence Theorem.

Hence,∠GMK ≅ ∠JMK

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You want to fence off a rectangular area of yard using the back side of your house as one of the sides. You have a total of 150 yards of fence. If the area of the fenced in portion comes to 2,800 square yards, what are the dimensions of the fenced-in area? Show all work for full credit.

Answers

The dimensions of the fenced-in area is given as

either length is 35 yards and width is 80 yards ,  

or length is 40 yards and width is 70 yards .

In the question ,

given that the total length of the fence (perimeter) = 150 yards

let L be the length of the portion to be fenced

let B be the width of the house

Given that , one side of the portion is fenced using the back side of the house

So, the perimeter of the portion to be fenced is 2L+B

equating both the perimeter ,we get

2L+B=150

B=150-2L       ....(i)

Also , given that the area of the  fenced-in portion = 2800 yards

also the formula for area of fenced-in portion = L×B

hence

L*B=2800

Substituting the values of B from equation(i) , we get

L*(150-2L)=2800

150L - 2L² = 2800

2L² - 150L + 2800 = 0

simplifying further , we get

L² - 75L + 1400 = 0

L² -40L -35L +1400 = 0          .....using splitting the middle term

L(L-40) -35(L-40) = 0

(L-35)(L-40) = 0

So , L = 35 yards or L = 40 yards

Using L = 35 yards , we get B = 150-2(35) = 80 yards

and using L =40 yards , we get B = 150-2(40) = 70 yards .

Therefore , the dimensions of the fenced-in area is given as

either length is 35 yards and width is 80 yards ,  

or length is 40 yards and width is 70 yards .

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The point (-4, 482) is on the graph of y = 6f [-(x - 5)] -4. What is the original point on
y = f(x).

Answers

     In a point-to-point graph, also known as a line graph, particular values of a function are represented graphically by dots on a coordinate plane. Straight lines connect adjacent pairs of dots.

How may a point be located on a graph?

    Choose x and work out the equation for y, or, to locate points on the line y = mx + b. Decide on y, then find x.

Can Desmos be used to plot points?

         Depending on your preference, you can plot points one at a time, a few on a line, or all at once in a table. Start with the video on the right before continuing to the resources and challenges below to learn more.

          The point (-4, 482) is located on the y=6f[-(x-5)] graph. -4 What is the fundamental idea behind y=f(x).

  If x=-4 and y=482 are subtracted from y=6f[-(x-5)],

I obtain the result f=9 at -4.

When I adjust the slider to f=9 and enter y=6f[-(x-5)]-4 into Demos, the line goes through the point (-4,482)

Does this imply that y=9x is the solution.

None of this actually makes sense to me. I don't understand a single thing. Just rearranging the numbers is all. There were NO examples in the lessons of an equation with a "y". Additionally, the left side of the equation in each example contained "f(x)" or "g(x)".

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Simplify the expression.

the expression negative five eighths times k minus 8 plus the expression 2 plus one third times k

A: 7 over 24 times k plus negative 6
B: negative 4 over 11 times k plus negative 10
C: negative 7 over 24 times k plus negative 6
D: negative 23 over 24 times k plus negative 10

Answers

Answer: C

Step-by-step explanation:

- 5/8k -8 + 2 + 1/3k

-5/8 = -15/24

1/3 = 8/24

-15/24k -8 + 2 + 8/24

-7/24k -6

Kira's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs kira $5.85 per pound, and type b coffee costs $4.20 per pound. this month's blend used four times as many pounds of type b coffee as type a, for a total cost of $611.55. how many pounds of type a coffee were used?

Answers

39 pounds of type coffee were used.

Type a coffee costs, Kira, $5.85 per pound, and type b coffee cost $4.20 per pound.

let, A pound of type a coffee,

B pounds of type b coffee.

according to the question;

this month's blend used 3 times as many pounds of type B coffee as type A coffee.

Total pounds of coffee =  x + 3x

The total cost then is:

(cost for Type A)(x) + (cost for Type B)(3x) = 717.60

=>5.65x + 4.25(3x) = 717.60

=>5.65x + 12.75x = 717.60

=>18.40x = 717.60

x = 39 pound

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Simple Solutions Science
Lesson #22 I need answer 2 to 10 asap!!!!!

Answers

It’s the first one for 22

Lincoln went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. Lincoln purchased a total of 13 cans of soup and frozen dinners which collectively contain 4450 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Answers

There are 9 cans of soup and the 4 frozen dinners that were purchased.

How to explain the information?

Let x = the number of cans of soup purchased.

Let y = the number of frozen dinners purchased.

Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that

x + y = 13 ..... i

x = 13 - y

The equation will be illustrated as

250x + 550y = 4450 .... ii

Substituting x = 13 - y into equation ii, it becomes

250(13 - y) + 550y = 4450

3250 - 250y + 550y = 4450

- 250y + 550y = 4450 - 3250

300y = 1200

y = 1200/300

y = 4

4 frozen dinners

Substituting y = 4 into x = 13 - y, it becomes

x = 13 - 4 = 9

9 cans of soup.

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Ila invested $42,000 into an account earning 4% compounded annually. She makes no other deposits and does not withdraw any money.

What is the balance of Ila's account in 5 years?

Answers

Ila invested $42,000 into an account earning 4% compounded annually. She makes no other deposits and does not withdraw any money, the balance of Ila's account in 5 years is $510,99.42.

What is compound interest?

Compound interest is when you receive the interest on both your interest income and your savings.

For instance, if you deposit $1,000 in an account that offers 1% yearly interest, after a year you would have received $10 in interest. Compound interest allowed you to earn 1 percent on $1,010 in Year Two, which amounted to $10.10 in interest payments for the year.

The yearly interest rate is raised to number of compound periods minus one, and the starting principal amount is multiplied by both of these factors. The resulting value is subsequently deducted from loan's entire original amount.

The formula is

A=[tex]p (1+r)^t[/tex]

A= future value?

P= present value 42000

R= interest rate 0.04

T= time 5years

A=[tex]42,000*(1+0.04)^5[/tex]

A=51,099.42

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I just don’t know how to solve it

Answers

Evaluated f(4) directly in photo


REMEMBER when you see a problem asking for solve for f(x) directly just substitute the value they gave you.

Answer:

1594

Step-by-step explanation:

Solve the following system of equations.

7x +3y= -12
2x -5y= 20

(See picture attached)

Answers

Answer:

x = 0, y = - 4

Step-by-step explanation:

7x + 3y = - 12 → (1)

2x - 5y = 20 → (2)

multiplying (1) by 5 and (2) by 3 and adding will eliminate y

35x + 15y = - 60 → (3)

6x - 15y = 60 → (4)

add (3) and (4) term by term to eliminate y

41x + 0 = 0

41x = 0 ⇒ x = 0

substitute x = 0 into either of the 2 equations and solve for y

substituting into (2)

2(0) - 5y = 20

0 - 5y = 20

- 5y = 20 ( divide both sides by - 5 )

y = - 4

help please, geometry.​

Answers

Answer:

400

Step-by-step explanation:

the volume of a pyramid with a square base is [tex]\frac{lwh}{3}[/tex] so the volume is 12*10*10 divided by 3, which is 1200/3, or 400

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4(-8x + 5) - (-33x - 26) Solve the following equation: 2=|3x-3| How would symbolic interactionism explain the coronavirus phenomenon When the Aryan people arrived in India, they: what is a explanation to the benefit to biodiversity and medicine? Select the correct answer.What will happen to the ecological efficiency of an ecosystem, if the number of organisms in any trophic level is different from the ideal number?OA. It will remain the same, as there cannot be any imbalance in the ecosystem.OB.It will remain the same, as the ecological efficiency never changes.It will differ due to an imbalance in the number of producers and consumers.O C. If there are six H2O molecules, then the notation is 6H2O .How many atoms of hydrogen are there? b. How many atoms of oxygen are there? c. How many of each type of atom would there be if these six water molecules underwent electrolysis? Samuel buys 3 4K TVs for $1200 each. There is ashipping charge of $90 to have all 3 TVs delivered to hishouse. How much does Gordon pay in total? awkins requested permission to communicate with the predecessor auditor and review certain portions of the predecessor auditor's working papers. the prospective client's refusal to permit this will bear directly on hawkins' decision concerning the Michelle has an average score of 70 for three tests.What must she score on the next test to increase her average to 74? The vertex form of the equation of a parabola is y = (x- 5)2 + 16.What is the standard form of the equation? How many essential Amino Acids exist?2012516 Previous summary/facts about "Forming Massachusetts Bay Colony" HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Read "The Mouse, the Bird, and the Sausage" by The Brothers Grimm. Then, answer the question that follows. Once upon a time, a mouse, a bird, and a sausage, entered into partnership and set up house together. For a long time all went well; they lived in great comfort, and prospered so far as to be able to add considerably to their stores. The bird's duty was to fly daily into the wood and bring in fuel; the mouse fetched the water, and the sausage saw to the cooking. When people are too well off, they always begin to long for something new. And so it came to pass, that the bird, while out one day, met a fellow bird, to whom he boastfully expatiated on the excellence of his household arrangements. But the other bird sneered at him for being a poor simpleton, who did all the hard work, while the other two stayed at home and had a good time of it. For, when the mouse had made the fire and fetched in the water, she could retire into her little room and rest until it was time to set the table. The sausage had only to watch the pot to see that the food was properly cooked, and when it was near dinner-time, he just threw himself into the broth, or rolled in and out among the vegetables three or four times, and there they were, buttered, and salted, and ready to be served. Then, when the bird came home and had laid aside his burden, they sat down to table, and when they had finished their meal, they could sleep their fill till the following morning: and that was really a very delightful life. Influenced by those remarks, the bird next morning refused to bring in the wood, telling the others that he had been their servant long enough, and had been a fool into the bargain, and that it was now time to make a change, and to try some other way of arranging the work. Beg and pray as the mouse and the sausage might, it was of no use; the bird remained master of the situation, and the venture had to be made. They therefore drew lots, and it fell to the sausage to bring in the wood, to the mouse to cook, and to the bird to fetch the water. And now what happened? The sausage started in search of wood, the bird made the fire, and the mouse put on the pot, and then these two waited till the sausage returned with the fuel for the following day. But the sausage remained so long away, that they became uneasy, and the bird flew out to meet him. He had not flown far, however, when he came across a dog who, having met the sausage, had regarded him as his legitimate property, and so seized and swallowed him. The bird complained to the dog of this bare-faced robbery, but nothing he said was of any avail, for the dog answered that he found false credentials on the sausage, and that was the reason his life had been forfeited. He picked up the wood, and flew sadly home, and told the mouse all he had seen and heard. They were both very unhappy, but agreed to make the best of things and to remain with one another. So now the bird set the table, and the mouse looked after the food and, wishing to prepare it in the same way as the sausage, by rolling in and out among the vegetables to salt and butter them, she jumped into the pot; but she stopped short long before she reached the bottom, having already parted not only with her skin and hair, but also with life. Presently the bird came in and wanted to serve up the dinner, but he could nowhere see the cook. In his alarm and flurry, he threw the wood here and there about the floor, called and searched, but no cook was to be found. Then some of the wood that had been carelessly thrown down, caught fire and began to blaze. The bird hastened to fetch some water, but his pail fell into the well, and he after it, and as he was unable to recover himself, he was drowned.Which two themes can be supported by details in the text?Change is always a good thing.Focusing on your unhappiness can lead to ruin.Someone claiming to know what's best for you is often right.Avoid listening to advice from those unfamiliar with your situation. A and B A and C B and C B and D Find the sum of (2.8 109) and (9.1 1010). Write the final answer in scientific notation. 11.9 1019 1.19 1018 3.71 1010 3.71 109 A 10-kg iron ball is dropped onto a pavement from a height of 150 m . Suppose that half of the heat generated goes into warming the ball. What is the temperature increase of the ball. (The specific heat capacity of iron is 450 J/kg C . Use 9.8 N/kg for g .). if you are taking measurements from the open ocean and suddenly find an area in which the water temperature is unusually cool and there is unusually abundant plankton then you have probably found a(n) zone. Compare and contrast the ideologies of Greece and sparta The function T(y) gives the end-of-year tablet sales, in thousands, at an electronics store y years after 2010 for-1 y 8. The table below represents the values of the function T(y).-101 2 3 4 5 6 7 8T(y) 17 19 25 42 78 93 108 116 130 125yWhich statement is true?A No tablets were sold in 2009BCDThe number of tablets sold increased each yearMore people used a tablet sold by the store in 2017 than they did in 2018.The maximum number of tablet sales the store made occurred 7 years after 2010D Which of the following items is used to repair the DNA backbone when DNA fragments are combined to make recombinant DNA?Question 24 options:CentrifugationPlasmid vectorsRestriction enzymesDNA ligase