john is a quarterback. this year, he completed 350350350 passes, which is 70\pp, percent of all the passes he's attempted this year. how many passes has john attempted this year? passes

Answers

Answer 1

The number of passes that john has attempted this year is 500500500 passes

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

% = percentagen= number portionnt = total of the number portion

Information about the problem:

% = 70%n = 350350350 passesnt =?

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (350350350* 100) / 70

nt = 500500500

What is a percentage?

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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Related Questions

Answer the 2 question in the photo for EASY points ( 20 points )

Answers

Answer:

the answer is 29              

The answer would be 29 hope this helps!

Given the figure below, find the values of x and z.

X
(15x + 35).
100°

Find Z pleasee

Answers

ANSWER: x = 3

z = 100

A political campaign manager negotiated radio & television time for a candidate’s political announcements. The budget is limited to $48,000 on the announcements. Each 60-second radio spot cost $200, whereas 30 seconds of television time costs $600. The manager wants at least 45 radio spots, but no more than 90 and at least 20 television spots. Is the following system of inequalities correct?

200 r +600 t ≤ 48000
45≤ r ≤ 90
t ≥ 20

Answers

Yes, the system of inequalities listed to the represent the wants of the campaign manager are correct

What is inequalities?

This refers to the term in mathematics that uses some expressions to typify statements.

The following are the statements in inequalities

less than <greater than >less than or equal to ≤greater than or equal to ≥

Considering the question here:

r = each 60-second radio spot

t = 30 seconds of television time

The budget is limited to $48,000 means less than or equal to

The manager wants at least 45 radio spots, but no more than 90

means radio spots from 45 to 90 hence 45≤ r ≤ 90

at least 20 means television spots of 20 and above hence t ≥ 20

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Which value represents |12|? A. -12 B. -6 C. 6 D. 12

Answers

Answer:  12

Step-by-step explanation: Because the absolut value of something will always be positive.

Answer:

The value for |12| is D. 12

need help on this question

Answers

Answer: x = 20

Step-by-step explanation:

The angles are corresponding angles so they are equivalent to each other. To solve for x, we set them equal and then solve for x.

65 = 3x + 5

60 = 3x

x = 20

Answer:

the other person has it right- it's x =20

Which arrangement shows −5 1/2 , −5 , −6.4 , and −26/4 in order from least to greatest?

<3 thx

Answers

Answer:

   -6.4, -5 1/2, -5, and -2 6/4.

Step-by-step explanation:

Arranging these negative values in order from least to greatest may be tricky if you are not familiar with your integer rules and operations. However, if you seem to understand, even a little, this way may be helpful to you.

All you need to know is this. positive and negative are opposites. Thus, if, for example, +2 is greater than +1 in positives, then -2 is less than -1 in negatives. So, in other words, think about it this way when you see a negative number, but you are used to positive numbers, just assume that the biggest number on the positive side is the smallest number on the negative side.

Therefore, if we were to use this method, we would result in -6.4, -5 1/2, -5, and -2 6/4. Since it would be the opposite in positives.

Solve u² = -121, where u is a real number. Simplify your answer as much as possible.

Answers

Simplifying the answer

What is Real number ?

The value of a continuous quantity that can represent a distance along a line is a real number. René Descartes first used the word "real" in this meaning in the 17th century when he made a distinction between the real and imaginary roots of polynomials.

Solve :  u² = -121

   

putting square root on both side

             √u²  =  √ (-121)

                u   = (-11)

                u   = 11i

Since, there is no real square root of -121

If i is the imaginary unit then i = -1 and we find that

               11i is square root of -121

Hence, the simplify answer for u² = -121 is 11i

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Given m/n find the value of x

Answers

Answer:

x = 49°

Step-by-step explanation:

x = 49°

since m and n are parallel to each other

with T an oblique vector

forming a Z shape

to make this true

Write 3/10 + 7/100 as a single fraction using decimal notation pllllllllssss need it In a minute its urgent​

Answers

Hello!

Here are both solutions to your equation.

Fraction Form:

[tex]\frac{37}{100}[/tex]

OR

Decimal Form:

[tex]0.37[/tex]

Hope this helps!

Tina says, "The difference between any 2 consecutive square numbers is always odd." Is she correct? Yes No​

Answers

yes she is correct it is always odd

Answer:

Yes

Step-by-step explanation:

Because they are consecutive, one is odd and one is even.

The square of an odd number is always odd

The square of an even number is always even

The difference between an odd number and an even number is always odd

Therefore, the difference between any 2 consecutive square numbers is always odd

find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (enter your answers using interval notation. if an answer does not exist, enter dne.)

Answers

We need to take the derivative, which is:

[tex]f'(x) = 10x + 2[/tex]

and see where it is positive (increasing) and negative (decreasing). We see that [tex]f'(x) = 0 at x = -1/5, f'(x) < 0 for x < -1/5, and f'(x) > 0 for x > -1/5[/tex]. Therefore, we have

f(x) increasing: (-1/5, ∞)

f(x) decreasing: (-∞, -1/5)

P=2W+2L (solve for L)
please help me❗️❗️

Answers

Answer:

L = 1/2(p) - w

Step-by-step explanation:

a) Flip the equation.

2l + 2w = p

b) Add -2w to both sides.

2l + 2w + −2w = p +-2w

2l = p − 2w

c) Divide both sides by 2.

2L/2 = p - 2w/2

L = 1/2(p) - w

its so so so hard heplp !!

Answers

Since it is a isosceles triangle 44* = 2 and 4
Then calculate the top and bottom angle with 180*
44+44+a=180*
a=180-88
a=92* and bottom
Hope this helps:)

Mrs. McKinnon was making t-shirts. One of the designs had the instructions to make points at the following locations and then draw lines to connect the points in order: A(-5, 5); B (-5, 1); C(2,1); and D (2, 5).


Use graph paper to plot the points.


Connect them in order: A to B, B to C, C to D, and then D back to A. What shape is created?

Answers

Answer:

It's basically a quadrilateral, it has no name for it.

Step-by-step explanation:

start off by graphing the points

the number in the front is the x axis and the number after is the y axis

Ex: (-4,3) = (X,Y)/  X is horizontal going left to right & Y is vertical going up and down.

Solve the equation.

3x^2 + 12 = 0

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 2i [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 3 {x}^{2} + 12 = 0[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 3{x}^{2} = - 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} = - \frac{12}{3} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x {}^{2} = - 4 [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ (- 1)(4)} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 1} \sdot \sqrt{4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = i \sdot2[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = 2i[/tex]

[ i represents iota, i² = -1, (complex number) ]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]x=2i[/tex]

Step-by-step explanation:

Given equation:

[tex]3x^2+12=0[/tex]

Factor 3 from the left side of the equation:

[tex]\implies 3(x^2+4)=0[/tex]

Divide both sides of the equation by 3:

[tex]\implies\dfrac{3(x^2+4)}{3}=\dfrac{0}{3}[/tex]

[tex]\implies x^2+4=0[/tex]

Subtract 4 from both sides:

[tex]\implies x^2+4-4=0-4[/tex]

[tex]\implies x^2=-4[/tex]

Square root both sides:

[tex]\implies \sqrt{x^2}=\sqrt{-4}[/tex]

[tex]\implies x^2=\sqrt{-4}[/tex]

Rewrite -4 as 2² · -1:

[tex]\implies x=\sqrt{2^2 \cdot-1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies x=\sqrt{2^2}\sqrt{-1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies x=2\sqrt{-1}[/tex]

[tex]\textsf{Since $\sqrt{-1}=i$}[/tex]

[tex]\implies x=2i[/tex]

Imaginary numbers

Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an imaginary number, and is represented using the letter i.

An imaginary number is written in the form [tex]bi[/tex], where [tex]b \in \mathbb{R}[/tex].

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y = -2x -3

Step-by-step explanation:

To write an equation we need two points that the line cuts through.

we then use the formula: Gradient = Rise/Run

the points chosen are (0,-3) and (1,-5)

Gradient = (-5--3)/(1-0)

= -2

to write the equation we need one known point, gradient and one unknown point say (x,y).

we therefore use the formula for gradient/slope

G = Rise/Run

-2 = y+3/x-0

-2x = y + 3

y = -2x -3

Answer:

y = - 2x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (1, - 5) ← 2 points on the line

m = [tex]\frac{-5-(-3)}{1-0}[/tex] = [tex]\frac{-5+3}{1}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 2x - 3 ← equation of line

The range of F(x) = 7.4* is all positive real numbers.

Answers

The range of F(x) = 7.4* is all positive real numbers is true

What is Range ?

When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.

Currently, the function is

f(x) = 7 x 4^x

Suppose,

y = f(x) = 7 x 4^x.

=> y = 7 x 4^x

Hence,

lny = ln (7 x 4^x).

We obtain using the logarithm equation

Hence,

ln y = ln7 + ln 4^x.

= ln y = ln7 + x ln4 .

Hence,

y equals e^(ln7 + x ln4).

=> y = e^ln7.e^(xln4) (xln4)

Using the exponential formula, we obtain

=> y = 7xln4

Consequently, y=f(x)=7.x.ln4

To determine function f's value (x)

7.x.ln7 = 0

As a result, For all possible values of x (x€R). To date,

=> 7x ≥ 0

=> 7xln4 ≥ 0

Therefore interval notation will be (0,∞)

Notation for set builders:

{y|y>0}

The graph will be plotted as follows if all the values of x (x€R) are used:

Hence, it is true that the range of f(x)=7*4x is all positive real integers.

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The area of one surface of a cube is 19,600 sq. cm. If the cube is filled with water how many bottles of 4 litres each can be filled from it?​

Answers

686 bottles of 4 liters each can be filled from this cube.

We can solve this problem by following a few steps.

As we know that a cube has 6 surfaces and each surface has a geometrical shape of a square. We also know that each side of a square is the same.

So, the surface area of a square ≡ Side × Side.

Let's assume the side as z

Now, the area of this square ≡ z × z = z²

∴ z² = 19600, as per the question.

We have to solve the equation,  z² = 19600   Or, z = 140   ( by doing root both sides)

Now we know the side of the cube, then the volume of this cube is z³.

As, we know the volume of a cube ≡ side × side × side, as the height of a cube is also identical.

Volume of the cube = 140³ =  2,744,000 cc

1000 cc is considered as 1 liter. Therefore, this cube consists of, 2,744,000/1000 = 2744 liter of water.

Each bottle consists of 4 liters of water. Then we can fill, 2744/4 = 686 bottles of water.

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Suppose you work for a packaging company and are designing a box that has a rectangular bottom with a perimeter of 36cm. The box must be 4 cm high. What dimension give the maximum value. V = l*w*h
I'll give you all 65 points that I have if you tell me how to do it because I want to understand the topic. thank you

Answers

Width of the box is the dimension which gives the gives maximum value.

Width of the box = 9 cm

Length of the box = 9 cm

Given,

The perimeter of the rectangular bottom of the box = 36 cm

The height of the box = 4 cm

We have to find the dimension which gives maximum value.

Volume = lwh

Perimeter = 2(l + w)

36 = 2l + 2w

l = (36 - 2w)/2

l = 18 - w

Now,

Volume = length × width × height

V = (18 - w) × w × 4

V = 72w - 4w²

Lets find w by using w = -b/2a

That is,

w = -72/2(-4) = -72/-8 = 9

That is,

Width of the box is 9 cm and it is the dimension which gives the maximum value.

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Use the figure to find the measures of the numbered angles.

Answers

Applying the angle relationships, the measures of the numbered angles are:

m∠1 = 145°

m∠2 = 145°

m∠3 = 35°

m∠4 = 35°

m∠5 = 145°

m∠6 = 145°

m∠7 = 35°

How to Find the Measures of Angles Using Angle Relationships?

The position of angles when a transversal intersects parallel lines determines the type of angle relationships that exist between the angles, and also their measure.

Based on angle relationships, the angle measures in the image are solved as follows:

m∠1 = 180 - 35 [linear pair angle relationship]

m∠1 = 145°

m∠2 = m∠1 [vertical angles]

m∠2 = 145°

m∠3 = 35° [vertical angles]

m∠4 = 35° [corresponding angles]

m∠5 = m∠2 [alternate interior angles]

m∠5 = 145°

m∠6 = m∠5 [vertical angles]

m∠6 = 145°

m∠7 = m∠4 [vertical angles]

m∠7 = 35°

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Suppose a state has license plates that display seven characters.
a) How many different 7 character plates are possible if only the digits 0-9 are used?

Answers

Answer:License plate numbers in certain state consists of seven characters: The first character is digit (0 through 9) The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore; license plate number in this state can be any string - of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit How many license plate numbers are possible if no digit appears more than once?

Step-by-step explanation: i don't know rm

Rewrite this sentence

The brick old red depressing building was filled with students

Answers

Answer: Students filled the brick old red depressing building.

Step-by-step explanation:

Find a cubic model for the set of values. (-2,-7)(-1,0)(0,1)(1,2)(2,9)

Answers

The required cubic model would be y = 1 + x³ for the given set of values.

What is the cubic model?

The cubic model function takes the form:

y = a + bx + cx² + dx³,

where a, b, c, and d are real integers that represent the cubic regression model's coefficients As you can see, we simulate how the value of y changes as x changes.

x₁ = -2, y₁ = -7

x₂ = -1, y₂ = 0

x₃ = 0, y₃ = 1

x₄ = 1, y₄ = 2

x₅ = 2, y₅ = 9

Computing the values in the regression models to get the values of coefficients to which the graph has attached.

y = a + bx + cx² + dx³

Fitted coefficients:

a = 1

b = 0

c = 0

d = 1

Cubic model:

y = 1 + x³

Hence, the required cubic model would be y = 1 + x³ for the given set of values.

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help need help i give 26 pointes

Answers

According to the given line, the points are L and M and the segment is LM.

Lines:

The line is defined as the one-dimensional figure, which has length but no width. It is made of a set of points which is extended in opposite directions infinitely.

Given,

Here we have the diagram.

Through the given diagram we have to identify the points and segments from it.

We know that, the points refers the is a dimensionless shape, since it represents a dot only, whereas a line is a one-dimensional shape.

Based on this definition , we have two points that L and M in the given diagram.

Next one we have to identify from the graph is segment,

Segment means the part of the line that connects two points.

So, LM is the segment of the line.

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Victoria is older than Tyee. Their ages are consecutive even integers. Find Victoria's
age if the product of their ages is 80.

Answers

The ages of Victoria and tyee are 72 and 74.

What are linear equations?

A linear equation is an algebraic equation of the form y=mx+b that only contains a constant and a first-order (linear) component, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are the variables. Ax+By=C is the accepted form for two-variable linear equations. Finding both intercepts of an equation in this form is rather simple (x and y). If an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is said to be linear. The point-slope form, standard form, and slope-intercept form are the three primary types of linear equations.

As given

ages are consecutive even integers

Victoria > Tyee

So

Victoria's age = x

Tyee's age = x + 2

x(x + 2) = 80

= x² + 2x - 80

= x²  + 8x - 10x - 80

Hence , the ages are 72 and 74.

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PLOT THE POINTS FOR BRAINLIST HELPPPP

Answers

The graph of the linear equation 4x - y = 8, with two points on the line is shown in the image attached below.

How to Graph a Linear Equation?

If we know the slope, m, of the linear equation, which is the rise of the line over the run of the line, and also know the y-intercept value, b, we can graph a linear equation such that the slope of the line would be the value of m, and the point where the line intercepts the y-axis would be the value of b in the linear equation that is represented as y = mx + b.

Given the linear equation, 4x - y = 8, we can rewrite this in slope-intercept form as y = mx + b:

4x - y = 8

-y = -4x + 8 [subtraction property of equality]

y = 4x - 8 [division property of equality]

The slope, m, is 4, while the graph of the linear equation must intercept the y-axis at y = -8, because the y-intercept of the linear equation is b = -8.

Thus, the graph of 4x - y = 8 is shown below.

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PLSSS HELP I’LL GIVE BRAINIEST
IM ALSO NOT VERY GOOD AT MATH

The speed of light is approximately 1.86 x 10^5 miles per second.

The time it takes for a beam of light to travel from the Sun to Earth is found by dividing the distance between the Sun and Earth by the speed of light. Find the amount of time it takes for a beam of light from the Sun to reach Earth. Show all work and express your answer in minutes.

• Explain or show how to use the numbers in scientific notation to calculate the difference in the distance from Jupiter to the Sun and the distance from Mars to the Sun. Then find
the differences and express your answer in scientific notation.


• Explain or show how to find the number of miles light will travel in 1/2 minute.

THANK YOU IF YOU HELPP <3

Answers

Answer:

Step-by-step explanation:

Find the amount of time it takes for a beam of light from the Sun to reach Earth.

A 8 letter Code word is selected. What is the probability that there are no repeated letters?

Answers

Probability of selecting eight letter word without repetition of letter is 0.3016.

There are total 26 letters in English alphabets. A 8 letter Code word is selected. We have to take care of repetition of letters as be are not allowed to repeat the letters.

Any letter being chosen should have an equal probability of 1/26. So, we have a probability of 1 to get a non-repeated letter while choosing the first letter.

For first letter the probability is = 26/26

For second letter the probability is = 25/26

For third letter the probability is = 24/26

For fourth letter the probability is = 23/26

For 5th letter the probability is = 22/26

For 6th letter the probability is = 21/26

For 7th letter the probability is = 20/26

For 8th letter the probability is = 19/26

To get an eight letter code that has no repeated letters, all these events have to occur.

Probability of selecting eight letter word without repetition of letters =  (26/26) (25/26) (24/26) (23/26) (22/26) (21/26) (20/26) (19/26)

Probability of selecting eight letter word without repetition of letters = 0.3016

So, 0.3016 is the probability of selecting eight letter word without repetition of letters.

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The graphs of two functions are shown. Which statements accurately compare the functions in the graph? Select two options. Neither function has a maximum value. The functions share a y-intercept of –1. The functions share an x-intercept of 1. Both functions have a range of all real numbers. Both functions have a domain of all real numbers.

Answers

The correct options are that the functions share a y intercept of -1 and both functions have a range of all real numbers.

A function may be defined as the expression in which for one input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. Real number may be defined as the set of numbers that has integers, rational numbers, and natural numbers. Here, from the graph we can see that both the functions meet on the y-axis at a point (0, -1). Thus, both these functions share a y intercept of -1. Now, both the functions have a certain value of y for a given value of x. Hence, both functions have a range of all real numbers.

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Answer:b n d

Step-by-step explanation:

Rewrite as a simplified fraction.
3.8333333333333=?

Answers

Answer:

38333333333333/10000000000000

Step-by-step explanation:

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Desirees Baby or trifles and one person from a work of non fiction . If 8 - x = 17, then find the valueof 6x - 22 suppose we take a poll (random sample) of 3604 students classified as juniors and find that 3059 of thembelieve that they will find a job immediately after graduation. what is the 99 % confidence interval for the proportion of gsu juniors who believe that they will,immediately, be employed after graduation. Using Euler's formula, howmany edges does a polyhedronwith 7 faces and 10 verticeshave?[?] edgesEuler's Formula: F + V = E + 2 How to address a resume with wacky fonts A construction company takes 1/8 hours to remove 1/4 metric tons of dirt from a construction site. gas giants have many moons than terristcal planets due to having higher ___ ? The semicircular canals of the inner ear detect rotational and/or angular movement of the head, or ____________ equilibrium. in path-goal theory, the functions of a leader that are of particular importance are to blank . multiple select question. provide coaching and direction place limits on the delegation of critical tasks increase opportunities for personal satisfaction reduce barriers to goal attainment Which of the following statements is correct? (Pick One) What is the value of x? S *+559 W 2x71 X-30 A fuelling vehicle finished filling a plane with 12.40 tons of fuelat 10:35. If the fuelling rate is 0.20 ton of fuel per min, at whattime did the fuelling start? Give your answer in a 12-hour clockformat, such as 9:00.Enter the answer Jessica is a software saleswoman. Her base salary is $1900, and she makes an additional $50 for every copy of History is Fun she sells.Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 28 copies of History is Fun.Equation:Total pay if Jessica sells 28 copies: (One-Step Inequalities MC) Write the inequality for the statement: the difference between a number and four sevenths is no more than negative nine elevenths f minus 4 over 7 is less than or equal to 9 over 11 f minus 4 over 7 is less than negative 9 over 11 f plus 4 over 7 is less than or equal to negative 9 over 11 f minus 4 over 7 is less than or equal to negative 9 over 11 To give your reader a better picture of the nouns you're describing, you can usea. fragments.b. vowels.c. adjectives.d. pronouns Name something you use in your home that could be considered an acidic, basic, and neutral solution. Use properties of acids and bases to tell why do you think the solutions you chose could be considered acidic, basic, or neutral. Match the columns to make a complete sentence.1. placed a metal tip on the plow Canaan 2. was the Assyrian capital Israel 3. had a battering ram for a weapon Jerusalem 4. built the Hanging Gardens of Babylon Sumerians 5. was the early home of the Hebrews Nineveh 6. is the present homeland of the Jews Moses 7. is the lowest place on earth Assyrians 8. led the Hebrews out of Egypt Chaldeans 9. was David's capital city The Dead Sea 10. were the first to have a written language Egypt 11. is located in Africa Nebuchadnezzar II My question is about nervous system What are the main features of the anatomy (body parts) and physiology (what do the parts do) of the system? Accessory organs? calculate the molar concentration of the solution formed when 8g of sodiumhydroxide is dissolved in 1dmof water Please provide a one-paragraph reflection on the following prompt.The pilgrims in Chaucer's tales share their stories orally, which was how most stories were shared during the Middle Ages - they didn't have too many other options. How do we share stories now? How do we tell and absorb narratives that are relevant to our cultures today? Do you see any advantages and/or disadvantages to the way weshare stories today? This paragraph will be worth 10 points. Your response will be graded on the following scale:No less than five sentences - 2 pointsCorrect punctuation, capitalization, and grammar - 4 pointsResponse includes references to texts-4 points