A hot air balloon is cruising at an altitude of 120 m above ground when it begins its descent the balloon descends at a rate of 4.5 m per minute explain how you would set up the equation to model when the balloon will reach an altitude of 75 m above ground then solve the equation and check your solution

Answers

Answer 1

The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

The balloon will reach an altitude of 75 meters above the ground.

Now, 120-75 =45 meters

Let t be the time to descends 45 meters

So, 120 - 4.5t= 75

= -4.5 t = 75-120

= -4.5t = -45

= t = -45/(-4.5)

= t = 10 minutes

Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

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Related Questions

Can someone please help me? :(

Answers

Step-by-step explanation:

send the pic clearly i will help surely im sorry

What is the definition of a solution give 3 examples of a solution?

Answers

A homogenous mixture of two or more components is referred to as a solution.

Solution Examples: Brass is an illustration of a solid solution. Liquid solutions include aqueous hydrochloric acid as an illustration (HCl in water). Air is an illustration of a gaseous solution.

1)When we combine salt (often table salt) and water, we create salt water.

2)By combining sugar and water, sugar water is created.

3)Mouthwash is made up of various chemicals that have been dissolved in water.

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h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does hhh have a negative average rate of change?

Answers

The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

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Which of the following is a perfect square trinomial?

(A) 5x2 - 5x + 1

(B) 5x2 - 10x + 5

(C) 10x2 - 20x + 5

(D) 25x2 - 20x + 3

(E) 25x2 + 20x + 4

Answers

Answer:

B is the perfect square

Step-by-step explanation:

What is a zero degree polynomial?

Answers

Any polynomial whose coefficients are all equal to zero is said to be a zero polynomial. As a result, the zero polynomial's degree is either undefined or set to -1.

The largest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined only by its variables; coefficients are should be disregarded. The degree of a polynomial is given for an nth degree polynomial function with real coefficients and x as the variable with the largest power n, where n accepts whole integer values:  p (x) = [tex]$$p(x)=a_n x^n+a_{n-1} x^{n-1}+a_{n-2} x^{n-2}+\ldots+a_1 x^1+a_0$$[/tex]  in standard form is given as 'n'.

The largest power of a variable in a polynomial equation is the polynomial's degree. Only terms with variables are taken into consideration when calculating the degree of a polynomial function. The degree of a polynomial is determined by the variable term's maximum exponential power.

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find the rate of change y=−√x−4 +5

Answers

The rate of change, y=−√x−4 +5 , is expressed as 1/5−2i/5 .The square root of a number is the number itself.

what is  a square root ?

A number can be obtained by multiplying the square root by itself. Square root is represented by the symbol sqrt, which stands for square root of, end square root. The reverse of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number can be found by looking for a number that, when squared, yields the original value. If 'a' is the square root of 'b,' then a a = b.

given

Use the average rate of change formula to substitute.

(√1)−(√−4) / (1)−(−4)

Condense the phrase.

1/5−2i/5

The rate of change, y=−√x−4 +5 , is expressed as 1/5−2i/5 .The square root of a number is the number itself.

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Jaimie ran 3 1/2 on Monday. She ran half
as far on Tuesday as she did on Monday. How
far did Jaimie run in all on Monday and
Tuesday?

Answers

Answer: So Jamie ran 3 1/2 miles on Monday and half that distance on Tuesday. We need to know how far she ran "in all" which are key words for "addition".

We need to add 3 1/2 + (1/2)(3 1/2)

It's probably easiest to do this by converting to an improper fraction.

So let's convert:

3 1/2 is the same as 7/2. now we can rewrite the problem:

7/2 + (1/2)(7/2)

= 7/2 + 7/4 . Now we need a common denominator:

7/2 = 14/4

Now we have 14/4 + 7/4 = 21/4.  Now we should convert to a mixed number.

21/4 = 5 1/4

So Jamie ran 5 1/4 miles in all.

Step-by-step explanation:

Answer:

5.25 or 5 1/4 (Whichever you prefer)

Step-by-step explanation:

To make it simpler, we will convert 3 1/2 to decimal format.

First, take 3 and multiply it by the denominator 2 of 1/2, then add that number to the numerator of 1/2

3 x 2=6 -> 6+1=7

now add the denominator 2 under 7 and we now have 7/2, the equivalent to the mixed number 3 1/2

Afterward, to get the decimal, divide the numerator by the denominator:

7 divided by 2=  3.5

Now halve 3.5 to get the number Jaimie ran on Tuesday -> 1.75

Then add both 3.5 (3 1/2) and 1.75 (1 3/4), to get 5.25 or 5 1/4, which is your answer.

The local sports team donated 200 meal vouchers and 24 jerseys for a fundraising event. 125 vouchers and 20 jerseys were part of a raffle . The ratio of tickets sold to raffled items was 8:1; each ticket was sold for $3.50. How much money was raised from the raffle

Answers

On solving the provided question, we can say that by linear equation  $249.67  money was raised from the raffle

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here,

the linear equation that can be formed is

200x + 24 y = 3.50

125 x + 20y = 5

ratio = 8:1

so,  $249.67  money was raised from the raffle

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Find the number of terms and the degree of this polynomial.

Answers

Answer:

Terms = 2

Degree = 10

Step-by-step explanation:

Terms are the values appearing separated by the the mathematical sign. for this question we have 2 terms only.

the degree of a polynomial is usually the largest degree of the individual terms. for our question it's degree 10 since it's the highest.

The circumference of a circle B is 80% of the circumference of circle A.

a) Find the ratio of the area of circle A to the area of circle B, giving your

answer in the form 100:n

100 :

(2)

Square E has sides of length e cm.

Square F has sides of length fcm.

The area of square E is 69% greater than the area of square F.

b) Work out the ratio of e:f

Your final line should say, Ratio of e:f is

(2)

Answers

The area of circle A to the area of circle B ratio is 100: 64, and the ratio of e: f is 13: 10.

The area of the circle is equal to the multiplication of the square of the circle's radius and π.

A = πr²

where 'r' is the radius

Circumference of circle A × 0.8 = circumference of circle B

So, taking r as the radius of A,

2πr =  circumference of circle A

2πr × 0.8 = circumference of circle B

So the radius of B is r × 0.8.

Now we can substitute that in the area equations :

Area of A = π×r²

Area of B = π × (r × 0.8)² = π × r² × 0.64

The circumferences of the A to B ratio is

Circumference of A : Circumference of B = (2 × π × r)/(2 × π × r × 0.8)

= 1: 0.8 = 100: 80,

The areas of circle A to circle B ratio is

Area of A : Area of B = (π × r²)/(π × r² × 0.64) = 1: 0.64 = 100: 64

e² = f² × 1.69

69% larger shows that f² is the 100% to which we must add 69% to obtain e². 100% + 69% Equals 169%, obtaining a factor of 1.69.

We have this equation:

e² = f² × 1.69

Apply the square root on both sides.

e = f × √(1.69) = f × 1.3

e/f = 1.3 = 1.3/1 = 13/10

the ratio e:f = 13: 10

Thus, the ratio of circle A's area to circle B's area is 100: 64 and the ratio of e: f is 13: 10.

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5-115. Let us consider the difference between t(n) = 2 · 3" and f(x) = 2. 3

a) Is f(x) = 2 · 3 a function? Is t(n) = 2 · 3" a function? Why or why not?

Answers

Both  f(x) = 2.3 and t(n) = 2.3" is not a function as they does not has any input variable.

f(x) = 2.3 is not a function because it's a constant value, it doesn't have any input x that could be used to produce a different output. It's just a number, and it's not a mathematical function.

t(n) = 2 · 3^n also doesn't represent a function because, again, it doesn't have any input n that could be used to produce a different output. It's also just a number, and it's not a mathematical function.

A mathematical function is a set of ordered pairs (input, output) such that for each input, there is only one output. A function must have at least one variable that can take different values and the output must depend on the input value. In other words, for each value of the independent variable, there is only one value of the dependent variable.

So, in the case of f(x) = 2.3 and t(n) = 2 · 3^n, there is no input variable that can produce different output, so they're not functions.

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if you do 44 push ups in 4 minutes how many will he do in 5 minutes ​

Answers

Answer:

55

Step-by-step explanation: i think

Answer:

Step-by-step explanation:

it would be 55 because he does 11 each minute.

What function f(x) has the property where f'(x) is equal to 2f(x)?

Answers

Answer:

u not get the answer

Step-by-step explanation:

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $\$3.15$. Mary orders a bagel and a muffin, which comes out to $\$3.30$. Mary orders a piece of toast, two bagels, and three muffins, which comes out to $\$9.15$. How many cents does one bagel cost

Answers

On solving the question, by linear equation One bagel is 100*1.55 = 155 cents in dollars.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept.

A toast costs =  x dollars.

A bagel costs  = y dollars.

A muffin costs = z dollars.

It costs $3.15 for two pieces of toast and a bagel.

As a result, 2x + y = 3.15. To get the price of a bagel, we express x as a function of y,

2x = 3.15 —Y

x = -o.5y+ 1.575

It costs $3.30 for a bagel and a muffin.

Since x and z are functions of y,

—0.5y + 1.575 + + 3(3.3 — y) 9.15

—0.5y + 1.575 +2y + 9.9—3y = 9.15

—1.5y + 11.475 = 9.15

1.5y = 2.325

2.325

Y = 1.55

One bagel is 100*1.55 = 155 cents in dollars.

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Consider the rotation of figure WXYZ shown. Complete the statements about the transformation shown.

Answers

Answer:

Can you please show the picture

Step-by-step explanation:

What is the slope of the line passing through the points − 3 4 and 2 − 1?

Answers

Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1

What is a Straight Line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.

Define Slope.

A line's steepness may be determined by looking at its slope. The slope is computed mathematically as "rise over run" (change in y divided by change in x). Also, The slope of a line is known as "m", is the ratio of the change in the y-coordinate to the change in the x-coordinate of two points on the line.

To find the slope of a line passing through the points (-3,4) and (2,-1), we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, using the given points:

m = (-1 - 4) / (2 - (-3))

m = -5 / 5

m = -1

Therefore, the slope of the line passing through the points (-3,4) and (2,-1) is -1

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Helpppp pleaseeeeeeeee

Answers

Answer:

Step-by-step explanation:

Given f(x) = -x² - 2x + 12, find f(8)

Answers

Answer:

f(8) = -68

Step-by-step explanation:

f(x) = -x² - 2x + 12

f(8) = ?

We just need to put 8 in for the x and solve it

f(8) = -(8)^2 -2(8) + 12

f(8) = -64 -16 +12

f(8) = -80 + 12

f(8) = -68

What is the domain of the function y=^3 sqrt X

Answers

-infinity, infinity

what is m for y = 7x - 17

Answers

On solving the provided question, we can say that - the linear equation y = 7x - 17 at x= 0; y = -17 and m = -17

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

y = 7x - 17

at x= 0

y = -17

and m = -17

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when 7/11 is written as a decimal what is the sum of the fisrt twenty digits after the decimal point
PLEASE i relaly need help I just got brainly

I give twenty points

Answers

The first twenty digits after the decimal point of 7/11 when written as a decimal are: 6363636363636. The sum of these digits is 108.

What is the range of f?
A. -3<_f(x)<_7
B. The f(x)-values -3,3,6, and 7
C. -6<_f(x)<_6
D. The f(x)-values -6,-4,-3, and 6

Answers

The range of f is C.

What is range?
Range is the difference between the highest and lowest values in a set of data. It is a measure of variability, providing an indication of how widely values in the data set are dispersed from one another. In statistics, range is an important tool that helps to describe and summarize data. Range is also used to measure the dispersion of data within a data set, including the degree of spread or variability in the data.

-6<_f(x)<_6. This means that the f(x)-values range from -6 to 6, including -4 and -3. The range of f does not include -3, 3, 6, and 7, which are not within the range of -6 to 6.

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Help please with this maths

Answers

The radius of the sphere is 9 cm.

What is a sphere?

It is a three-dimensional figure where the volume is given as:

The volume of a sphere is 4/3πr³.

We have,

The surface area of a sphere = 324π cm²

4πr² = 324π

r² = 324/4

r² = 81

r = √81

r = ±9

r = -9 cm (rejected)

r = 9 cm

Thus,

The radius is 9 cm.

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Start with a circle whose equation is (x-a)^2 + (y-b)^2=r. Dilate that circle by a scale factor of 1/r with center of dilation (a,b). What does this transformation demonstrate

Answers

The dilation of the circle with a scale factor 1/r and center at (a,b) will transform the circle into a point at (a,b).

A dilation is a transformation that results in an image with the same shape as the original but a different size. • An enlargement is a dilation that produces a larger image. • A reduction is a dilation that produces a smaller image.

To solve this we will use the transformation formula for a dilation with center (a,b) and scale factor

k, (x,y) --> (a + k(x-a), b + k(y-b)).

Substituting in our values, we get

(x,y) --> (a + (1/r)(x-a), b + (1/r)(y-b)).

Setting this equal to (a,b), we get

(a + (1/r)(x-a) = a, b + (1/r)(y-b) = b).

Solving for x and y gives x = a and y = b. Therefore, the dilation of the circle with a scale factor of 1/r and center at (a,b) will transform the circle into a point at (a,b).

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I have 460 less than dotun.altogether we have 1280.how much do we each have​

Answers

The main unknown at this point is "the number of adult tickets." The "number of children's tickets" is another factor that is unknowable. In order to assign two variables, do as follows:

Let a = # of adult tickets

and c = # of children's tickets.

What is meant by variables?

Any traits, figures, or amounts that may be gauged or counted are considered variables. Another name for a variable is a data item. Variables include things like age, sex, business income and expenses, birthplace, capital expenditures, class grades, eye color, and vehicle type.

Setting up the equations using the unknowns that follow the word problem is the next step. Here are the details:

There are 460 tickets total because there are an adult ticket and a child ticket.

a + c = 460.

Now that we know we want to find the number of adult tickets, we can translate the basic equation a + c = 460 into terms of a:

a + c  = 460

-a       = -a        (For example, use -a to delete a from the left side of the equation on either side.)

c = 460 - a

We can now enter the equation c into the other equation, 8.75a + 3.50c = 3143, since we have the equation c expressed in terms of a.

Now, we need to find the value of c in the first equation so that we can plug it into the second equation:

292 + c = 460

-292     = -292

c =  168

(8.75 × 292) + (3.50 × 168) = 3143

2555 + 588 = 3143

3143 = 3143  

Therefore, We each have 3143

The  complete question is:

For a show adult tickets are $8.75 and children's tickets are $3.50. 460 tickets were sold for a total of 3143 how many adults tickets were sold?

Adult ticket = 8.75

child ticket = 3.50

460 tickets we're sold totaling 3143

how many adults tickets were sold

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could one side length of a function ever produce two different perimeters?

Answers

Answer: A perimeter is the total length of all the sides of a polygon. It is calculated by adding up the lengths of all the sides of the polygon. For a polygon with distinct and non-overlapping sides, each side length contributes exactly once to the perimeter. So in such case, a side length of a polygon can never produce two different perimeters.

However, it's worth mentioning that, one side length of a function could be a side of a polygon and the other could be a side of another shape. Also, it's possible that a single side length of an object is connected to a different set of side length, generating different perimeters.

For example, the length of an arc of a circle can be considered as a "side length" of the circle and it can be used to calculate both the perimeter of the arc and the circumference of the full circle, which are different measurements.

Also, a circular pool has a radius, but it's perimeter is the circumference, and this length is produced by the same radius but it's a different perimeter from the length of the radius.

In summary, a side length can produce different perimeter if we are talking about different shapes and measurements.

Step-by-step explanation:

g(n)=-3n-4; Find g(-8)

Answers

Answer:

g(- 8) = 20

Step-by-step explanation:

substitute x = - 8 into g(x) , that is

g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20

Emily is using glass to make a display case in the shape of a triangular prism the net of the display shown exactly how much glass is needed to make a display case

Answers

The net of the display consists of one rectangle and two right triangles.  168 ft² is needed to make a display case. Hence option D is the correct option.

What is surface area?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The surface area of the triangular prism is the display area of the glass.

The surface area of a triangular prism consists of one rectangle and two right triangles.

The length of the rectangle is (10ft + 6 ft + 8ft) = 24ft.

The width of the rectangle is 5 ft.

The area of a rectangle is the product of length and width.

The area of the rectangle is 24ft × 5ft = 120 square ft

The length of the base of the triangle is 8 ft and the height is 6ft

The area of the triangle is 1/2 × base × height = 1/2 × 8 × 6 = 24 square ft

The display area is 120 square ft + 2 ×24 square ft = 120 + 48 = 168 ft².

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four-part spinner is spun once. spinner with four parts labeled Q, R, S, and T List the sample space for the experiment. S = {Q, R, R, T} S = {Q, R, S, T} S = {R, A, T} S = {S, Q, Q}​

Answers

The list of the sample space is s = {Q, R, S, T}. Option B is the correct option.

What is the sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

The random experiment's sample spaces are written in curly brackets, "{ } ".

Given that a spinner wheel has four parts. It is labeled with the names Q, R, S, and T.

The elements of sample space are Q, R, S, and T.

The sample space is a set, thus write the elements in curly brackets.

The sample space is s = {Q, R, S, T}.

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pls pls HELP ASAP!!! ILL MARK BRAINIEST AND 50 POINTS!!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by ASA

Answers

Answer:

side BC and side DF

Step-by-step explanation:

side BC and side DF

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what is 5x5+9x7 Whell help please i just wanted to put 5x5+9x7 but it didnt let me so yay Corn plants and milkweed plants grow in the same area. Over several years, the milkweed plants have taken over the field and the corn plants no longer have space to grow.This best demonstrates which type of an interaction between the plants?cooperationparasitismcommensalismcompetition Hello can someone please help me with this A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.x 4 1 0 1 5 8 12g(x) 0 3 1 2 0 3 0If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)? (5 points)As x, g(x) and as x, g(x).As x, g(x) and as x, g(x).As x, g(x) and as x, g(x).As x, g(x) and as x, g(x). A computer user has provided input, and the computer system has completed its processing functions, but the user does not have an immediate use for the information that resulted from the processing. What type of peripheral device might then be used for the next step of the process? The Reed family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 4 beds, 3 desks, and 1 dresser to select from. How many different furniture sets could they select? where does sound travel faster(the desert or the forest)? Toni invests money into an account which pays a fixed rate compound interest each year.The total value, V, of her investment after 't' years is given by the formula=1350 x 1.04t.How much did Toney invest?if u get this ur a genius How many grams of Pb would be required to make 119 g H2O? Pb+PbO2+2H2SO4=2PbSO4+2H2O. Pb: 207.2 g/mol. H20: 18.o2 g/mol Which of the words below has the right nuance to replace the word cackled? Sheri was having a really good time. When the clowns arrived on the stage, she cackled at their hilarious antics. A. chortled B. howled C. grinned D. screeched Write a polynomial in intercept form so that P(x)=0 has the given roots.7. 2, 38. -i, -59. i, 711. --6, 310. 2i, -i12. 4DR, VII 2 What does FDR's "Four Freedoms" speech reveal about the variety of different attitudes, priorities, and political philosophies encompassed by the word "freedom"? kind of a long one sorry When homologous chromosome pairs align on the spindle during metaphase I the orientation of one pair is independent of the orientation of any other pair. This is known as independent assortment. Humans have 46 chromosomes, arranged as 23 pairs. During metaphase I each pair lines up independently, which results in 2 23possible combinations. With your group, calculate the number of possible genetic combinations due to independent assortment. Why is bromine the most reactive? There are 12 girls and 18 boys in a class. What is the largest number of group they can be split into and have the same of boys and girls on each team? Look at the electronic devices of a tablet, smartphone, and laptop below. Conduct research online about typical features for each device. Compare their features and describe why you would like to buy one of them, including why you want the features that the device has. I NEED THIS ASAP ILL GIVE 100 POINTS 1. Gas stations A. B. C, and G are locatedalong a straight lighway.Station B is between stations: Aand c The distance frim station A tostation C is 22 miles. BC is 5 miles less than twice ABStation C is between stations B and C. 4 miles from C. Find AC. Read the excerpt below from Theodore Roosevelt's book "The Naval War of 1812."During the early years of this century England's naval power stood at a height never reached before or since by that of any other nation. On every sea her navies rode, not only triumphant, but with none to dispute their sway. The island folk had long claimed the mastery of the ocean, and they had certainly succeeded in making their claim completely good during the time of bloody warfare that followed the breaking out of the French Revolution. Since the year 1792 each European nation, in turn, had learned to feel bitter dread of the weight of England's hand.Select the best denotative meaning for the phrase "weight of England's hand." A piece of material used to weigh articles A unit of measurement for taxes The amount that something weighs The threat from a superior power I literally need so much help Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.Hint: Use the change of base formula: log base b of y equals log y over log b. Match the following.1 . rituals6Unlimited, without restrictions.2 . tannedThe way people do things; the usual behavior.3 . customTo leave one country to live in another country.4 . emigrateThe order of conducting religious ceremonies.5 . thatchedMade into leather; a hide or skin that is treated to make leather.6 . absoluteA roof covered with bundles of grass, reeds, straw, or leaves.