What is a midpoint for zero?

Answers

Answer 1

The midpoint for zero is (0,0).

The midpoint can be zero. This is dependent on the value of the two points. For two points on a number line on points with values -4, and 4, the midpoint is 0. And for two points such as (-2, 5), and (2, -5), the midpoint is equal to (0, 0).

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

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Related Questions

HELP PLEASE IVE BEEN STUCK ON THIS PROBLEM ALL DAY

Answers

The table that is a justification for the given solution to the system of equations is table 1

How to determine the table that bears the correct values?

The two linear equations are

y=4x-9 and

y=2x-5

We that the following points for x : -1, 0, 1, 2, 3

When we substitute the values in the two equations we will have

x           y₁              y₂

-1         -13             -9

0           -9             -5

1             -5            -3

2            -1              - 1

3            3                1

Conclusively the values of y₁, and y₂ are shown in the table above

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Evaluate a+4a+4a, plus, 4 when a=7a=7a, equals, 7

Answers

The evaluation of the expression a + 4 when a = 7 is 11

How to evaluate the expression

From the question, we have the following parameters that can be used in our computation:

Expression: a + 4

Value a = 7

Substitute the known values in the above equation, so, we have the following representation

a + 4 = 7 + 4

Evaluate the like terms in the equation

So, we have the following representation

a + 4 = 11

Using the above as a guide, we have the following:

The solution is 11

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Jai is 1. 45 meters tall. At 11 a. M. , he measures the length of a tree's shadow to be 39. 55 meters. He stands 34. 1 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter

Answers

The height of the tree to the nearest hundredth of a meter is 10.5 meters.

The length of Jai's shadow = length of tree's shadow - distance of standing of Jai

Length of Jai's shadow = 39.55 - 34.1

Performing subtraction on Right Hand Side of the equation

Length of Jai's shadow = 5.45 meters

Tan theta = height of tree/length of shadow = height of Jai/length of his shadow

height of tree/39.55 = 1.45/5.45

Keep the values in formula

Height of tree = 39.55×1.45/5.45

Performing multiplication

Height of tree = 57.35/5.45

Performing division

Height of tree = 10.5 meters

Thus, the height of tree is 10.5 meters.

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13. Solve for x. (show work)

Answers

Answer:

The value of x is 12.

i think it is correct.

Which one of these is correct? Could you explain

Answers

Because we have a x² leading term, this inequality is a quadratic and can be written in standard form.

Quadratic Standard Form:

ax²+bx+c=0

Replace = sign with <:

ax²+bx+c<0

So, we want to get 0 on the right side of the inequality to be in standard form.

To do this, we’ll add 18 to both sides:

x²-9x+18<0

This cancels out the -18 on the right, making it 0 because -18+18=0, and of course to keep the equation equal, we must add 18 to the left side as well.

Now, let’s understand the inequality. In standard form, a quadratic is equal to 0 to find the zeros. This is so that we can find what x-values will produce an output (y-value) of 0, as a y-value of 0 means no vertical change. It shows what x-values intercept the x-axis, which are the zeros (or roots) of the quadratic. Therefore, this inequality means: what x-values are less than 0, or go below the x-axis. To find this, we will factor the quadratic to see what x-values produce y-values less than 0.

Factor:

We know that -3-6=-9 and -3•-6=18

(x-3)(x-6)<0

So, the zeros of the function are x=3, 6. However, for x-values 3 and 6, the output is 0 since these values are x-intercepts. The inequality states less than 0, so we need look at x-values that produce a negative output.

So, if x=3, 6, then x>3 and x<6. Let’s look at the graph:

Write the expression as a unit rate.

Joyce painted 8 window frames in 5 hours while earning money for college.

What was her painting rate in window frames per hour?

What was her painting rate in hours per window frame?

Answers

joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.

What is the unit rate?

A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.

Given, Joyce painted 8 window frames in 5 hours while earning money for college.

Her painting rate in window frames per hour is = 8 /5

Her painting rate in window frames per hour is = 1.6

Her painting rate in hours per window frame is = 5/8

Her painting rate in hours per window frame is = 0.625

therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.

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What is −30y − 15 if y is 7?

Answers

If y is equal to 7, then −30y − 15 would be equal to −30(7) − 15, which simplifies to −210 − 15. When you perform the operations within the parentheses first, you get −210 − 15, which is equal to −225.

So, the value of −30y − 15 when y is equal to 7 is −225.

Answer:

-225

Step-by-step explanation:

-30*7=-210

-210-15=-225

please give brainliest

we roll a fair 6 sided die 5 times. what is the probability that we get a one or a two in exactly 3 of the 5 rolls

Answers

The probability is 5/32.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

To roll exactly 4 odds out of 5 rolls is [tex](\frac{1}{2} )^{4}\frac{1}{2}[/tex]  where the odds are 1, 3, and 5 for 3/6=1/2 and the other 1/2 is the probability of rolling an even since we want exactly 4 odds.

Since there are 5 dice being rolled there are 5 ways to order them.

So the probability is 5/32.

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A bookcase is 3 feet high and 3 feet wide. Two braces are going to be built to diagonally cross the back of the case. How long is the piece of wood that is needed to build each brace?

Answers

The length of each piece of wood needed to build each brace of the bookcase will be 4.24 feet.

Based on the dimensions, the shape of bookcase is square. So the diagonal of the bookcase will be calculated from the formula -

Diagonal = ✓side² + side²

Keep the values in formula to find the value of diagonal

Diagonal = ✓ 3² + 3²

Taking square on Right Hand Side of the equation

Diagonal = ✓9 + 9

Performing addition on Right Hand Side of the equation

Diagonal = ✓ 18

Finding square root on Right Hand Side of the equation

Diagonal = 4.24 feet

Thus, each diagonal will be 4.24 feet.

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Santiago has 5 11/16 cups of dough to make dumpling. If he uses 13/16 cups of dough for each dumplings how many dumplings can santiago make?

Answers

Santiago can make 7 dumplings

To find out how many dumplings Santiago can make, we need to divide the total amount of dough (5 11/16 cups) by the amount of dough used per dumpling (13/16 cups).

To do this, we can first convert the fractions to have a common denominator. In this case, the denominator of 13/16 is 16, so we can convert 5 11/16 to have a denominator of 16 as well:

5 11/16 = (5 * 16) + 11/16 = 80 + 11/16

Now we can divide:

(80 + 11/16) ÷ (13/16) = (80 + 11) ÷ 13 = 91 ÷ 13

So Santiago can make 91/13 dumplings. This can be simplified further to 7 dumplings. So Santiago can make 7 dumplings with 5 11/16 cups of dough.

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Is parallel processing always faster?

Answers

Only when each iteration is sufficiently time-consuming in terms of CPU usage does parallel programming become more effective.

Parallel processing: What is it?

The term "parallel processing" is used to deliver simultaneous data-processing activities, which is utilized to increase the computing performance of computer systems. Additionally, a parallel processing system has the ability to process input concurrently for quicker execution times.

As an illustration, when an instruction is being carried out in an ALU, the following instruction may be read from memory. The system may be equipped with two or more ALUs and be able to carry out multiple instructions at once.

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A sequence begins with 2. Each term is calculated by multiplying the previous term by −1, then subtracting 3.

Which answer correctly represents the sequence described?


a) {2,−5,2,−5,…}

b) 2,−5,2,−5,…

c) 0,−3,0,−3,…

d) {0,−3,0,−3,…}

Answers

The sequence is going to be {2,−5,2,−5,…}. Since we can see that options A and B are one and the same, the correct answer is options A and B.

A sequence is a successive arrangement of two or more things that are constructed on the basis of a given formula.

Here, the first term is = 2

Each previous term has been multiplied by = -1

And then, it has been subtracted by = 3

So, following the formula given, we conclude that the second value will be = 2×(-1)-3 = -5

Similarly, the formula is going to be applied to the second term now which is -5, and then the third term is going to be = -5×(-1)-3 = 2

In this fashion, we can make the sequence. Options A and B is the correct answer.

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PLEASE HELP THIS IS URGENT!!!!!! Decide which of the following points are on the graph of the function y=2x+1

Answers

(0.1), (2,5), (1/2,2), (-1,-1) are the points on graph.

What is a graph, exactly?

In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph.

what a graph example?

A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, also referred to as vertices, in a graph are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, and the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.

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The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
0/1
Write the ratio of ponies and goats to rabbits and
sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.

Answers

Answer:

3/7

Step-by-step explanation:

3 ponies + 3 goats = 6 total

8 rabbit + 6 sheep = 14 total

6/14 simplified is 3/7.

PLEASE HELP. I'LL DO ANYTHING THAT'LL BENEFIT YOU.

Answers

If you double the amount of fluid ounces, the amount of cups also double

There is a proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.

The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.

The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option B

The donation is proportional to the dinner bill

The donation for a dinner bill of $50 is $9

How to determine proportional relationship?

If there are 8 fluid ounces in one cup

8 : 1 = 16 : x

8/1 = 16/x

8 × x = 16 × 1

8x = 16

x = 16/8

x = 2

The difference between weight = 1

The difference between cost = $0.68 - $0.47

= $0.21

$0.89 - $0.68

= $0.21

$1.10 - $0.89

= $0.21

Cost of mailing 6-ounce letter

1 : 0.47 = 6 : x

1/0.47 = 6/x

1 × x = 6 × 0.47

x = $2.82

The donation for a dinner bill $50 is

Dinner bill : donation

25 : 4.50 = 50 : x

25/4.50 = 50/x

25 × x = 50 × 4.50

25x = 225

x = 225/25

x =$ 9

Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.

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what is -5.6 opposite ?​

Answers

Answer: 5.6

Step-by-step explanation:

the opposite of an negative number...

So your answer would be....

        =5.6

Answer:

[tex]5.6[/tex] or [tex]\dfrac{1}{-5.6}[/tex]

Step-by-step explanation:

The additive inverse of [tex]-5.6[/tex] is [tex]-1 \cdot -5.6 = \boxed{5.6}[/tex]

or...

If you mean the multiplicative inverse of  [tex]-5.6[/tex], then the answer would be [tex]\dfrac{1}{-5.6}[/tex]

Out of 30 students surveyed, 17 have a dog. based on these results, predict how many of the 300 students in the school have a dog?

Answers

Answer: 170 students

1. Use the proportion 17/30 = x/300 to find the answer

2. Cross multiply
30x = 5100, which can also be written as 3x = 510 because they both have at least 1 zero and 0/0 cancels out.

3. Divide both sides by 3 to get the variable alone
X = 3x/3 = 510/3

4. Simplify
X = 170

How do you plot a coordinate plane?

Answers

We can plot in the coordinate plane if an ordered pair is known to us.

What is coordinate plane?

The space or plane in where location of points is represented by a pair of numerical terms with respect to some reference lines or reference direction is called coordinate plane.

How do we plot a coordinate plane?

let we have some pair of numerical terms such as A (4, 9) and B (6, 10)

that is needed to plot in the coordinate plane.

At first, we will plot the point A (4, 9)

we will start from the origin and move horizontally along the direction of X axis up to 4 unit. In the next, start again and move up vertically in the direction of y axis up to 9 unit. And we will draw a point at the final location.

By the same way, we can plot the point B.

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brainy plot and labels points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on the number line

Answers

Answer:

Step-by-step explanation:

To plot points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on a number line, we can simply draw a horizontal line and mark off the positions of the points. The numbers on the number line will represent the values of the x-coordinates of the points.

[asy]

unit size(1cm);

draw((-7,0)--(5,0));

draw((-7,0)--(-7,1)--(5,1)--(5,0)--cycle);

dot("$P$", (-5/2,0), S);

dot("$Q$", (2 3/4,0), S);

dot("$R$", (1.25,0), S);

dot("$S$", (-3.5,0), S);

[/asy]

On the number line, point P is located at -5/2, point Q is located at 2 3/4, point R is located at 1.25, and point S is located at -3.5.

Olving ytem of linear equation in two variable
1. 4x8y=24 2. 2xy=19 3. 3x2y=15
4x2y=12 x-y=11 x2y=10

Answers

The solution of this system of linear equations is x=3, y=-5.

To solve this system of linear equations, you can use various methods such as substitution, elimination, or matrices. Here is one way to solve using the substitution method:

From equation 2, we can find the value of x in terms of y: x = (11+y)/2Substitute this value of x into equations 1 and 3:

4((11+y)/2) + 8y = 24

3((11+y)/2) + 2y = 15

Solve for y in the first equation: 8y = 24 - 44 = -20

y = -5

Substitute this value of y back into equation 2 to find x:

x = (11 + (-5))/2

x = 3

Substitute the values of x and y back into the original equations to check if they are correct:

4(3) + 8(-5) = 24

3(3) + 2(-5) = 15

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The question is -

Solving a system of linear equations in two variables,

4x + 8y = 242x - y = 113x + 2y = 15

What is the coefficient of the variable in the expression 4 − 3x − 7 6 3 points?

Answers

The coefficient of the variable x  in the expression 4a+3x +a is 3

Given that,

The expression is 4a+3x +a which can be simplified as 4a+3x +a

To find : The coefficient of the variable x in the expression

The coefficient of x in 4a+3x +a is 3

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

Coefficient is the number that is beside the variable in the equation.

As we can see that the term that is in multiplication with x is 3

Hence, the coefficient of x in the equation  is 3

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What are examples of perfect square Trinomials?

Answers

Example of perfect square trinomial is: x² + 6x + 9 it is expressed as

(x + 3)²

What is trinomial?

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Example:

  x² + 6x + 9

= x² + 3x + 3x + 9

= (x +3) (x + 3)

= (x + 3)²

so, this is a perfect square trinomial.

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Find the measure of the given angle. Round to the nearest degree.
(O
6
?
13

Answers

I think it’s 13 yup because why not yk hahahha

15 degrees by eye i think                                                        

 

                                                                                                                     

I need help with question 9. It’s all about functuons

Answers

Answer:

gay

Step-by-step explanation:

gayayayayayayaydyfyfaygaygagya

Why do we use similarity transformation?

Answers

The goal of using similarity transformations is to make the evaluation of a matrix's eigenvalues less complicated. In fact, the computation of the eigenvalues would be instantaneous if a given matrix could be translated into a similar matrix in diagonal or triangular form.

A geometric similarity or a matrix transformation that produces a likeness are both covered by the term "similarity transformation."

A conformal mapping with a similarity transformation is one whose transformation matrix A' has the formula A'=BAB⁻¹, where A and A' are referred to as similar matrices.

Space-based items are converted to equivalent objects by similarity transformations. Fractals and iterated function systems have a lot to do with similarity transformations and the idea of self-similarity.

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Denise is comparing a salaried job offer for $1,500 a week to a wage of $55 per hour. Which equation would help her find the "break-even point" where each offer would be equal?
A. 1500 = 55 + 2H
B. 1500÷10 = 55H
C. 1500 = 55H
D. 1500H = 55(40)
E. 1500-H= 55 x 8

Answers

Therefore , the solution to the given problem of inequality comes out to be 120d + 1,500 = 110d + 2,500.

What is inequality?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right

Here,

Given : $1,500 a week to a wage

$55 per hour

Thus ,

Taking all the information in concern

We get,

where d is the is he number of hour

120d + 1,500 = 110d + 2,500

Therefore , the solution to the given problem of inequality comes out to br

120d + 1,500 = 110d + 2,500.

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What additional information would be necessary to determine sin a without using the Pythagorean theorem explain brainly?

Answers

The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.

In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulae.

In order to determine sin a without using the Pythagorean theorem, we will need to have the value of the opposite side and angle. Sin (a) = opposite / hypotenuseHere, the hypotenuse is not given, so we will need to have the value of the opposite side and angle (a) in order to determine sin a without using the Pythagorean theorem.

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Ivan is a software salesman. His base salary is $2400, and he makes an additional $110 for every copy of History is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of coples of History is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 24 coples of History is Fun.

Answers

The total pay when he sells 24 copies of Math exists Fun should be 3760.

What is meant by equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.

Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.

Calculation of the equation and the total pay:

His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.

Here P means the total pay

So, here the equation be p = 2400 + 110 n

substitute the values in the above equation, we get

Now the total pay be

p = 2400 + 110(24)

simplifying the above equation, we get

= 2,400 + 2640

= 5040

The equation that should be related P to N should be considered as the 2400 + 110n.

Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.

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The total pay when he sells 24 copies of Math exists Fun should be 3760.

What is meant by equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.

Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.

Calculation of the equation and the total pay:

His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.

Here P means the total pay

So, here the equation be p = 2400 + 110 n

substitute the values in the above equation, we get

Now the total pay be

p = 2400 + 110(24)

simplifying the above equation, we get

= 2,400 + 2640

= 5040

The equation that should be related P to N should be considered as the 2400 + 110n.

Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.

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Find the domain and range of the function graphed below. PLEASE SHOW YOUR WORK!!

Answers

The domain and range of the function on the graph are:

D: [-2, 1)R: [0, 4]

How to find the domain and range of the function below?

Remember that for any function y = f(x), we define the domain as the set of possible inputs (possible values of x) and the range is the set of the possible outputs of the function (possible values of y).

To find the domain we need to look at the horizontal axis. The minimum is at x = -2 with a colored circle, so x = -2 belongs to the domain.

The largest value is at x = 1, now with an open circle, then this value does not belong to the domain. Thus the domain is:

D: [-2, 1)

For the range we need to look at the vertical axis, the minimum is at zero and the maximum at 4, then the range is:

R: [0, 4]

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PLEASE HELP ASAP. I WILL GIVE BRAINLIEST!!!

Which of the following is not an expression


A. 7 - 5x
B. 2 + 3x = 8
C. x/2 + 1
D. 2x + 6

Answers

B because it’s the only one with an equal sign

Answer:

B) 2 + 3x = 8

Step-by-step explanation:

Option B is not an expression as expressions do not have equal signs.

Other Questions
A listing of all accounts in numerical order is called a(n) ________.A) LedgerB) JournalC) Income statementD) Chart of accounts Mr. Brown uses her knowledge of a person's cognitive processes to design computer programs that are easier to use. Mr. Brown is most likely a(n) _____ psychologist. City Fitness, a popular gym, currently has 840 members. Based on its membership statistics since opening a few years ago, City Fitness expects to grow its membership by a factor of 14 each year.Write an exponential equation in the form y=a(b)x that can model the number of members, y, in x years. Adolescents develop the ability to think about social issues, a concept more generally referred to as: Two spherical objects have masses of 1. 5 x 10^5 kg and 8. 5 x 10^2 kg. Their centers are separated by a distance of 2500 m. Find the gravitational attraction between them. Round 0.09305085 to the nearest hundredth project planning, an activity of a project manager, _____. How have the major causes of death changed from 1900 to now? Given the following DNA sequence, give the complementary strand: 5' A G T A T C C G T T A C 3' martha has 17 043 943 957 points. 16 000 points equivilates to 50 $ off. How much money does Martha save? 12. The structures labeled A, B, C, and D in thediagram below representA-(1) organelles(2) organs(3) nuclei(4) mitochondriaBUDB--C-D-(216. C(117. N( When it was raining, Elliott drove for 120 miles. When the rain stopped, he drove20 mph faster than he did while it was raining. He drove for 300 miles after therain stopped. If Elliott drove for a total of 10 hours, how fast did he drive while itwas raining? Is this research permitted under subpart B ? The health care provider has just prescribed tetracycline for an adolescent with acne vulgaris. The client takes oral contraceptive pills. The clinic nurse should educate the teen about which topics? Select all that apply.1. Not taking tetracycline with dairy products2. Taking tetracycline at bedtime3. Taking tetracycline with food4. Using additional contraceptive techniques5. Using sunblock (b) How is the low power objective lens manipulated to focus a specimen for observation under a light microscope? To what extent is the urban rural divide still felt Why do English speakers wait until night to 'call it a day????? 2x + 4x = 3has a solution between 0 and 1 Please help with this Consider each of the following word problems.Write a word sentence to represent what you are going to do with the numerical values.Include the proper brackets, exponents and operation signs.Substitute the words with an appropriate variable.Solve each problem in good form.1. The school library had a used book sale. Paperbacks were 25 cents each and hardcover bookswere $1.25 each. There were 54 paperbacks and 163 hardcover books sold. How much money didthe library raise?2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $398.60 and herroom costs $115.70 per night. The cab fare from the airport to the hotel is $40.00. If Tamarastays for two nights, how much does the trip cost, excluding the cost of food?3. Paula repairs swimming pools and earns $14.50/h for the first 35 h she works in a week. Forhours over 35 h, she earns 1.5 times as much. If she works 48 hours in a week, how much does sheearn?4. Will and Liam collect baseball cards. Will has 26 cards and Liam has 19. They decided to combinetheir cards. Because they shared, their father decided that he would triple the number of cardsthat they had. After that, their friend Nestor thought that he would add his cards to their bunch.Nestor didnt know how many cards he had but he knew that he could lay them out in rows and thatthey would make a square with one side of his square having 8 cards. How many cards did the boyshave altogether?