Simplify (24)−1. one over two raised to the power of negative four one over two raised to the fourth power −24 23

Answers

Answer 1

The simplified form of the expression (2⁴)⁻¹ is 1/2⁴ (one over two raised to the power of four).

The integers exponents are the exponents that should be an integer. It can be either a positive integer or a negative integer. In this, the positive integer exponents describe how many times the base number should be multiplied by itself.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

It is given that the expression is (2⁴)⁻¹

Now,

using the integer exponent properties,

=> (2⁴)⁻¹  

=> (2)⁴* ⁻¹

=> (2)⁻⁴

=> 1/2⁴

Therefore, the answer is 1/2⁴ (one over two raised to the power of four) derived using the properties of integer exponents.

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Related Questions

94.
Scale: 1 in. = 3 ft
The diagram above shows a plan for a community garden. The plan is drawn on a grid made up of 1-inch squares. About how many square yards will be used to grow herbs?

Answers

Answer:

About 9 sq yd

Step-by-step explanation:

First, you know that 3ft. = 1 yd. That means each square is 1 sq yd. The length of the herb garden is 6 squares, while the width is about 1.5 squares. If you multiply those two to find the area, then you get about 9 square yards.

4. A regular pentagon has side lengths given below. Find the length of one side.
4q+1 = 11-q
r+s
s+t-1
3r
a) 9
b) 4
c) 3
d) 2

Answers

Answer:

d)2

Step-by-step explanation:

you would group-like terms and so

4q+q=11-1

5q=10(you would let q stand on it own)

so you divide through by 5

5q/5=10/5

q=2



Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip.
How much did they get altogether?

Answers

Answer:

Let Pip get = x

Fiona gets = x + 35

Ratio = 6:1

x+35/x = 6

x + 35 = 6x

5x = 35

x = 7

Total money = x + x + 35 = 14+ 35 = £49

Answer:

£49

Step-by-step explanation:

Fiona gets 35 more than Pip so 6-1 =5 and 5 portions = 35

so 1 portion = 7

7x6 = 42

7x1 =7

7+42 = 49

so they got £49

hope this works :)

Find m A
2x
C
(3x - 10)
D
E
B

Answers

Answer:

∠ABC = 40

∠CBC = 50

Step-by-step explanation:

∠ABC + ∠CBD = 90

2x + (3x - 10) = 90

2x + 3x - 10 = 90

5x = 100

x = 20

∠ABC = 2x = 2(20) = 40

∠CBC = 3x - 10 = 3(20) - 10 = 50

What is the percentage efficiency of a motor that does 60J of work from 240J of electrical energy?

Answers

Answer:

25% is the correct answer

6. A triangle has a perimeter of exactly 24 units. Which of the following could be the vertices of the triangle
(-1,3), (2, -1),(-1,-1)
(6, 0), (6, 7), (0,7)
(-1,-1), (-6, -13), (-9,-9)
(-3,-4), (3,-4), (3,4)

Answers

Answer:

Question:

A triangle has a perimeter of exactly 24 units. Which of the following could be the vertices of the triangle?

A.) (-1,3),(2,-1),(-1,-1)

B.) (6,0),(6,7)(0,7)

C.) (-1,-1),(-6,-13),(-9,-9)

D.) (-3,-4),(3,-4),(3,4)

Triangle and Coordinate Geometry

As the name suggests 'tri-angle' means it has three angles that are formed only when three sides are joined together.

So the triangle is a planner geometry that has three sides and three interior angles. In a triangle, the sum of all three interior angles is always

180

.

If a triangle

A

B

C

has the sides

a

,

b

,

and

c

, then

The perimeter of the triangle:

P

=

a

+

b

+

c

In coordinate geometry, the distance between two points:

D

=

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

Answer and Explanation:

Given:

The perimeter of the triangle is

24

units.

There are four options with different-different vertices and one of them is correct, so we choose one option randomly and check it for the given perimeter.

Firstly we chose the option

D

:

The vertices of the triangle are:

P

(

3

,

4

)

,

Q

(

3

,

4

)

,

and

R

(

3

,

4

)

Using the distance formula:

D

=

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

So

P

Q

=

(

3

+

3

)

2

+

(

4

+

4

)

2

=

6

2

+

0

=

6

u

n

i

t

And

Q

R

=

(

3

3

)

2

+

(

4

+

4

)

2

=

0

+

8

2

=

8

u

n

i

t

And

P

R

=

(

3

+

3

)

2

+

(

4

+

4

)

2

=

6

2

+

8

2

=

36

+

64

=

100

=

10

u

n

i

t

So

The perimeter of the triangle

P

Q

R

is:

Perimeter

=

P

Q

+

Q

R

+

P

R

=

6

+

8

+

10

=

24

u

n

i

t

s

Step-by-step explanation:

Solve two thirds times v plus 6 equals one third times v minus 2.

v equals negative eight thirds
v equals eight thirds
v = −24
v = 24

Answers

The value of v using the equation ( 2v/3 ) + 6 = ( v/3 ) - 2 is v = - 24.

Two-thirds of anything is an amount that is two out of three equal parts of it. Similarly, one-third of something is an amount that is one out of three equal parts of it.

Now, we have

Two-thirds times v plus 6 equals one-third times v minus 2.

Hence, when the above statement is expressed as an equation we get:

Two third of v + 6 = one third of v - 2

2/3 × v + 6  = 1/3 × v - 2

( 2v/3 ) + 6 = ( v/3 ) - 2

Adding 2 on both sides of the equation,

( 2v/3 ) + 6 + 2 = ( v/3 ) - 2 + 2

( 2v/3 ) + 8 = ( v/3 )

Subtracting 2v/3 from both sides of the equation,

2v/3 + 8 - 2v/3 = v/3 - 2v/3

8 = ( v - 2v )/3

- v/3 = 8/1

By cross multiplication,

- v × 1 = 8 × 3

- v = 24

Multiplying each side by - 1,

v = - 24

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Which liner function represents the line given by the point-slope equation y + 7 = -2/3(x + 6)?

Answers

the linear function that represents the given line is:

y = f(x) = (-2/3)*x - 11

Which linear function represents the given line?

Here we have a line given by a point-slope equation:

y + 7 = (-2/3)*(x + 6)

And we would want to get a function of the form y = f(x). So the first thing we need to do is isolate y in one side of the above equation. If we subtract 7 in both sides we will get:

y = (-2/3)*(x + 6) - 7

Expanding that:

y = (-2/3)*x + (-2/3)*6 - 7

y = -(2/3)*x - 4 - 7

y = (-2/3)*x - 11

Then the linear function that represents the given line is:

y = f(x) = (-2/3)*x - 11

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a line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. use the result to find the coordinates of the endpoint (x2, y2) of each line segment with the given endpoint (x1, y1) and endpoint (xm, ym).

Answers

The coordinates are:

For the first line, coordinates are (3, 7).For the second line, the coordinates are (12, 0).

What are coordinates?A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.

To find the coordinates:

In Analytical Geometry, the midpoint of a line is calculated as the mean of two points, as follows:

[tex]$$x_m=\frac{x_1+x_2}{2}, y_m=\frac{y_1+y_2}{2}$$[/tex]

Each segment has two endpoints and two midpoints, which are as follows:

(1,-9), as well as its midpoint (2,-1)(-2,18), as well as its midpoint (5,9)

We must be cautious not to add the wrong coordinates.

In the first line A:

[tex]$$\begin{aligned}&2=\frac{1+x_2}{2} \\&4=1+x_2 \\&4-1=-1+1+x_2 \\&x_2=3 \\&-1=\frac{y_2-9}{2} \\&-2=y_2-9 \\&+2-2=y_2-9+2 \\&y_2=-7\end{aligned}$$[/tex]

So (3,7) is the other endpoint where the segment begins (1,-9).

The endpoint of the second line b at (-2,18) and its midpoint (5,9).

[tex]$$\begin{aligned}&5=\frac{-2+x_2}{2} \\&10=-2+x_2 \\&+2+10=+2-2+x_2 \\&x_2=12 \\&9=\frac{18+y_2}{2} \\&18=18+y_2 \\&-18+18=-18+18+y_2 \\&y_2=0\end{aligned}$$[/tex]

So, (12,0) is the opposite endpoint.

Therefore, the coordinates are:

For the first line, coordinates are (3, 7).For the second line, the coordinates are (12, 0).

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The correct question is given below:

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint of a line segment when the coordinates of the other endpoint and midpoint are, respectively, (1, −9), (2, −1) and (−2, 18), (5, 9).

if asked to evaluate the following expression (5x+25) for x=3,5,-5,0 how many different substitutions will you make?

Answers

we did 4 different substitutions to evaluate the expression in 4 different values of x.

when x = 3 we get 40when x = 5 we get 50when x = -5 we get 0when x = 0 we get 25.

How to evaluate an expression?

Here we have a linear expression that depends on the variable x, and can be written as:

(5x + 25)

And we want to evaluate this in some different values of x. This just means that we need to replace the value of x by different numbers.

First, let's use x = 3

This will give:

(5*3 + 25) = 15 + 25 = 40

Then we use x = 5

(5*5 + 25) = 25 + 25  = 50

Then we use x = -5

(5*-5 + 25) = -25 + 25  =0

Finally, we evaluate in x = 0.

(5*0 + 25) = 0 + 25 = 25

So we did 4 different substitutions to evaluate the expression in 4 different values of x.

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How can you adjust both numbers and use compensation to find $7.99 + $19.99 mentally?

Answers

The adjustment of both numbers and using compensation to find $7.99 + $19.99 mentally is $27.98

How to calculate the value?

It should be noted that compensation is the mental strategy in Mathematics used for addition by adjusting one of rte addends.

It should be noted that $7.99 is almost the same as $8. It should be noted that $19.99 is the same as $20. This is the compensation or the numbers.

Therefore, the addition of the numbers $7.99 + $19.99 will be:

= $7.99 + $19.99

= $27.98

In conclusion, the answer is $27.98.

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Brian is throwing a party. He needs 3/4 of a pound of hamburger meat for each person at the party. If 12 people are coming to the party, how many pounds of hamburger meat will Brian need to buy?

Answers

9 pounds of hamburger meat will be needed by Brian.

We are given value for one unit. The calculation is required for more than one units, hence, multiplication will be performed.

As per the given information, amount of hamburger meat required for one person is = 3/4 pound

Amount of hamburger meat required for 12 people = (3/4) × 12

Performing division to find the amount of hamburger meat required for 12 people

Amount of hamburger meat required for 12 people = 3 × 3

Performing multiplication to find the amount of hamburger meat required for 12 people

Amount of hamburger meat required for 12 people = 9 pounds

Therefore, Brain needs to buy 9 pounds of hamburger meat.

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Sue's science class is competing to see who can build the tallest tower. Each group of students gets 10 newspapers and 2 meters of tape. Sue's group decides to roll up each of their newspapers. Then, they tape each roll with 125 millimeters of tape. How many meters of tape do they have left?

Answers

The amount of tape left in metres is 0.75 metres.

How to find the length of the tape left in metres?

Each group of students gets 10 newspapers and 2 meters of tape.  

This means the total length of tape for each group of student is as follows:

length of tape for each group = 2 metres

Sue's group decides to roll up each of their newspapers. Then, they tape each roll with 125 millimetres of tape.

Each roll of the 10 newspaper was taped with 125 mm tape.

Hence,

total taping = 125 × 10

total taping = 1250 mm

Let's convert from millimetres to metres.

Therefore,

1 mm = 0.001 m

1250 mm = ?

cross multiply

amount of taping done by Sue's group = 1.25 m

Therefore,

amount of meters of tape left = 2 - 1.25 = 0.75 metres

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f(x) = -2x + 10, If f(x)= 40, what is the value of x? (find the input)

Answers

Answer:

-15

Step-by-step explanation:

set it up

f(40)=-2x+10

40=-2x+10

subtract ten

30=-2x

divide by -2 to isolate the x

-15=x

Answer:

f(x) = -2x + 10

If f(x)= 40

By using equation,

or, 40=-2x+10

or, 40-10=-2x

or, 30=-2x

or, 30/-2=x

Therefore x=-15

does the ratio 2/5 to 1/3 has a unit rate of 2/15

Answers

The statement that the ratio 2/5 to 1/3 has a unit rate of 2/15 is; True

How to find the unit rate?

A unit rate is defined as a rate for one of something. This can be written as a ratio with a denominator of one.

For example, if you ran 50 meters in 10 seconds, you ran an average 5 meters in 1 second. Both of the ratios, 50 meters in 10 seconds and 5 meters in 1 second, are rates, but the 5 meters in 1 second is a unit rate.

We are given the ratio 2/5 to 1/3. Now, this can be expressed as;

(2/5)/(1/3) = 2/5 * 1/3 = 2/15

Thus, this corresponds with the given unit rate of 2/15.

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A city park measures 7/8 mile wide by 3/4 mile long. What is the area of the park?

Answers

Area = length x width

Length = 3/4 mile = 0.75
Width = 7/8 mile = 0.875

0.75 x 0.875 = 0.66 miles²

Solve for x in the diagram below

Answers

The value of x will be 34°

Given that

(x+12)°+100°+x° are forming linear pair

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.

As mentioned, adjacent angles are angles that are next to each other. If you are sitting next to someone in class or on the bus, you could say that you are adjacent to them. More specifically, adjacent angles share a vertex and have a common side.

(x+12)°+100°+x°= 180°

⇒ x+ 12+ 100+x = 180°

⇒ 2x+112 = 180°

⇒ 2x = 180- 112

⇒ 2x = 68

⇒ x= 68/2

⇒ x= 34

For verification we will put value of x

(34+12)°+100°+34°

⇒ 46°+100°+34°

⇒146°+34°

⇒ 180°

So here we can see that by putting value of x we are getting the sum of 180°

Therefore value of x is 34

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4|2x + 5|-7≤9

How would you solve this?

Answers

solate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:

9
2

x


1
2
-
9
2

x

-
1
2
Interval Notation:
[

9
2
,

1
2
]

Answer:

- [tex]\frac{9}{2}[/tex] ≤ x ≤ - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

inequalities of the type | x | ≤ a , have solutions of the form

- a ≤ x ≤ a , then

4 | 2x + 5 | - 7 ≤ 9 ( add 7 to both sides )

4  | 2x + 5 | ≤ 16 ( divide both sides by 4 )

| 2x + 5 | ≤ 4 , so

- 4 ≤ 2x + 5 ≤ 4 ( subtract 5 from each interval )

- 9 ≤ 2x ≤ - 1 ( divide each interval by 2 )

- [tex]\frac{9}{2}[/tex] ≤ x ≤ - [tex]\frac{1}{2}[/tex]

The graph below shows the distance a helicopter traveled over time. Find the rate of change from 1 hour to 2 hours.

Answers

The rate of change from 1 hour to 2 hours will be 125 miles per hour. Option C is correct.

What is linear equation?

A relationship between two or more parameters that, shown on a graph, produces a linear model. The degree of the variable will be one.

Given that;

Two points on the graph are (1, 125) and (2, 250).

Now, The slope of the line is calculated as;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Hence, Slope of the line passes through the points (1, 125) and (2, 250).

m = (250 - 125) / (2 - 1)

m = 125

So, The rate of change from 1 hour to 2 hours will be 125 miles per hour.

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If f(x)=-2x+3then f(3)-f(4)

Answers

I am smart math tutor

If a first integer is represented by the variable x, then which of the following would be the next four consecutive odd integers?
Choose the correct answer below.
A. x+1, x+2, x+3, x+4
B. x+2, x+4, x+6, x+8
Points: 0 of 1
C. x, x+2, x+4, x+6
OD. x+1, x+3, x+ 5, x+7

Answers

the next four consecutive odd integers will be given by the option (B) x + 2, x + 4, x + 6 and x + 8.

We are given that:

The first integer is represented by the variable x.

We need to find the next four consecutive odd integers.

We know that the difference between the two consecutive odd integers will always be 2.

So, this means, we can always get the next odd integers by adding 2 to the previous one.

So, we get that:

x + 2

x + 2 + 2 = x + 4

x + 4 + 2 = x + 6

x + 6 + 2 = x + 8

Therefore, we get that, the next four consecutive odd integers will be given by the option (B) x + 2, x + 4, x + 6 and x + 8.

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Factor completely.
100-9x^2=

please help!!

Answers

Answer:

(10 + 3x) (10 - 3x)

Hope this helps!

a major disadvantage of correlations is that they cannot make a(n) blank statement. multiple choice question.

Answers

A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

What are correlations?

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

There are no causes and effects.Results can find no inference.The strength of the relationship is not explained.There is the possibility of a confounding factor.

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

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how many time does 13 go into 26

Answers

Answer:

2

Step-by-step explanation:

13+13=26

Answer:

Twice

Step-by-step explanation:

13+13=26

This list gives information about a video collection.
Study the list carefully. Then, use the drop-down menu to complete the statement
below about the list.
It
make sense to add the items on the inventory because these quantities
have meaning for the inventory.
The number 299
Romance:
74
Comedy: 123
Action: 102
Total: 299
CLEAR
be expressed using the same unit.
CHECK

Answers

Answer:

oh no I lost the Answer is was 18369

Answer:

Step-by-step explanation:

Consider the arithmetic sequence (87, 83, 79,75...)
A. Find common difference, d
B. Find explicit formula

Answers

Answer:

see explanation

Step-by-step explanation:

A

the common difference d of the arithmetic sequence is

d = a₂ - a₁ = 79 - 83 = - 4

B

the explicit formula of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 83 and d = - 4 , then

[tex]a_{n}[/tex] = 83 - 4(n - 1) = 83 - 4n + 4 = 87 - 4n

Bob fenced in his backyard. the perimeter of the yard is 22 feet, and the length of his yard is 5 feet. use the perimeter formula to find the width of the rectangular yard in inches: p = 2l 2w. (1 foot = 12 inches)

Answers

The width of yard in inches is 72 inches.

We are given the perimeter and length of yard. We are also given the perimeter of the rectangle, which is as follows -

P = 2l 2w

Rewriting this formula in simplified form, by taking 2 common from both the values  -

P = 2×(l + w), where P refers to perimeter, l refers to length and w refers to width.

Now, keep the values in formula to find the width of rectangle -

22 = 2 × (5 + w)

Shifting 2 to other side of equation and performing division

5 + w = 22÷2

5 + w = 11

Shifting 5 to other side of equation and performing subtraction to find the value of width

w = 11 - 5

w = 6 feet

Now, we need the width in inches. We are given -

1 foot = 12 inches

So, 6 feet = 12 × 6

6 feet = 72 inches

Hence, the width of rectangular yard is 72 inches.

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Answer:

72in

Step-by-step explanation:

#11 i Solve -14>w+3 or 3w > -27 Solution: or​

Answers

The values of the inequalities will be:

1. -14>w+3 = w < -17

2. 3w > -27 = w > -9

How to explain the inequality?

It should be noted that an inequality simply means the expression that illustrates that the variables aren't equal. This can be used by uinng less than, greater than, etc.

The inequalities will be:

-14>w+3

Collect like terms

-14 - 3 > w

-17 > w

w < -17

3w > -27

Divide both side by 3

3w/ 3 > -27/3

w > -9

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.
Nickels: Someone offers to double the amount of money you have every
day for 1 month (30 days). You have 1 nickel. On the first day, you will
have 2 nickels worth $.10. On the second day, you will have 4 nickels
worth $.20. How much money will you have on the 30th day?

Answers

Answer: you will have $53,687,091.2 dollars once you reach the thirty-day milestone.

Step-by-step explanation:

Multiply 0.05 by 2 thirty times to get your answer.

0.05 * 2^30

0.05 * 1,073,741,824 = $53,687,091.2 or 10,737,418.24 nickels.

The slope for a wheelchair ramp for a home has to be 1/2.

If the vertical distance from the ground to the door bottom is 3 ft, find the distance the ramp has to extend from the home in order to comply with the needed slope.

Answers

In order to comply with the required slope, the ramp must extend 36 ft from the house.

What do we mean by Distance?Distance is a mathematical or qualitative measure of the distance between two objects or points. Distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage (e.g. "two counties over").

So, to find the distance:

The formula of slope:

m = change in vertical height/change in horizontal height

Vertical distance is now given as 3 ft.

To conform to the given slope, this means that:

1/12 = 3/x

Cross multiply:

x = 3 × 12x = 36 ft

Therefore, in order to comply with the required slope, the ramp must extend 36 ft from the house.

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1. Write the following sentence using mathematical symbols.Twice x, plus 10, is the same as - 5. The teacher asked Joey Tribbiani and his friend to organize her classroom library for extra credit. based on the equation 5x+860=2x+380, you can say Companies persist with ineffective ads for many reasons. The belief that, if they don't advertise as much as their competitors they will not succeed, is called:Group of answer choicescompetitive pressureconflict of interestincentive systemprisoner's dilemna Based on your understanding of Darwin's Theory of Evolution, which of the following organisms would potentially evolve the fastest ? A) All of these species would have roughly the same rate of evolutionary change B) A species of roundworm that reproduces via asexual reproduction but contains a DNA replication machinery that introduces 3-6 mutations every mitotic cycle with a generation time of 6 days C) A species of mammal that reproduces sexually and passes on roughly 3 mutations every generation with a generation time of 18-20 yearsD) A species of bacteria with a poor DNA replication error correction capability that normally reproduces asexually but can reproduce sexually and has a generation time of 45 minutes additional precautions, such as, must be taken to protect visitors and the public from struck-by hazards Martin scores 10% of the points in a game if this represents 10 point how many points were scored in total technician a says that gasoline engines have spark plugs to ignite the air-fuel mixture.technician b says that diesel engines use compression to ignite the air-fuel mixture. who iscorrect? Grammar word class of is Based on the Congress party representation charts, how might third-party members have contributed to the gridlock that gripped Congress in the late 1800s? The street was silent and long and empty what is the importance of amirs dream of assef claiming to be his twin? why would hosseini include this dream in the story of amirs recovery? what is the most advanced degree that is usually needed to secure gainful employment in academic, museum, or applied anthropology? new green fluorescent protein genes for plant transformation: intron-containing, er-localized, and soluble-modified I need help. somebodysolve this. i think the answer is 8 (2x +20)y X=10 y=5 Using the R.A.C.E.S. method, construct a well-written response of at least 5 sentences and no more than 8 to answer the following prompt.Considering the thematic concept of hope and the passage below, compose a thematic statement addressing thequestion: What is the author's message regarding hope in Enrique's Journey? Use the excerpt below to provide textual evidence to support your claim.Migrants watch from atop the cars as a baker, his hands coated withflour, throws his extra loaves. A seamstress throws sandwiches. Acarpenter throws bean burritos. A teenager throws oranges inNovember, when they are plentiful, and watermelons and pineapples in July. People who have watched migrants fall off the train fromexhaustion bring jugs filled with coffee. A stooped woman, more than a hundred years old, who in her youthwas reduced to eating the bark of her plantain tree during the MexicanRevolution, forces her knotted hands to fill bags with tortillas, beans,and salsa so her daughter, who is seventy years old, can run down arocky slope and heave them onto a train. "If I have one tortilla, I givehalf away," the stooped woman says. "I know God will bring memore."Gladys Gonzlez Hernndez waits for the diesel horn. There it is, atlast! The girl runs down the narrow aisles of her father's grocery,snatching crackers, water bottles, and pastries off the shelves. Shedashes outside. Gladys and her father, Ciro Gonzlez Ramos, wave tothe migrants on board the train. She is six years old.Ciro Gonzlez, thirty-five, taught Gladys to do this; he wants her togrow up right."Why do you give them food?" she asked him once. Her father said,"Because they have traveled far and haven't eaten." Muse synthetic division to find the quotient and remainder when 3x^4 +19x^3+22x^2-6x+4 is divided by x+2 Write in your own way how you would study geography. there is strong evidence that shows physical activity can lower the risk of developing the following forms of cancer. a senior level public relations professional was dealing with issues that had the potential to create a crisis for her organization. in order to determine what to do, part of what the professional did was to consider what others in the same situation may do and whether the organization had faced similar situations before. what decision making model is this professional using?