Solve
each of the following equations. Show its solution set on a number line. Check a
your answers.
|5x |=3

Answers

Answer 1
The answer is: x=0.6,-0.6

Related Questions

help me pleaseeeeeeeeee.

Answers

It’s the one that says +3

Answer:

y = x + 3

Step-by-step explanation:

The difference between 1 and 4 is 3

The difference between 2 and 5 is 3

The difference between 3 and 6 is 3

The difference between 4 and 7 is 3

So our answer will either be x= y-3 or y=x+3

Since y=x+3 is the only option that matches the table it must be the answer

Hope this helped and have a good day

You have $175.29 in a savings account. You deposit an additional $48.75. How much more do you need to save to buy the cell phone?
Price: $249.99
Include the steps

Answers

Answer:

Step-by-step explanation:

So in your account you got $175.29

Then you deposit mean increase the amount of money in your account by $48.75

So: 175.29+48.75 = 224.04

The price is $249.99

So: 249.99 - 224.04 = $25.95

You need to save $25.95 in order to buy your cell phone

To buy the cellphone of worth $249.99, additional $25.95 are required.

What are mathematical operations?

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The price of cellphone = $249.99

The amount in saving account = $175.29

Additional amount deposit in account = $48.75

Total amount in account after deposit = 175.29 + 48.75 = 224.04

Since, the price of cellphone is $249.99

And the amount in account = 224.04

So the more amount required = 249.99 - 224.04 = 25.95

To buy the cell phone $25.95 are required.

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it's me again can someone solve this question i'm really bad at fractions

Answers

Answer:

it would be A since the plus sign is canceled by the minus sign for the equation.

-x^2+x-3<0
Solve X pls

Answers

Answer: x < √3 - x

Step-by-step explanation:

-x^2+x-3<0

= x^2+x < 3

= x^2 < 3 - x

= x < √3 - x

Find an equation of the tangent line to the curve xey yex = 4 at the point (0, 4).

Answers

An equation of the tangent line to the curve [tex]x e^y+y e^x=4[/tex] at the point (0, 4) is [tex]y=-(4+e^4) x+4[/tex].

What is tangent?

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  [tex]\left.y^{\prime}\right|_{x=0, y=4}[/tex] as-

Consider the given equation;

[tex]x e^y+y e^x=4[/tex]

Differentiate both side with respect to x;

[tex]\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}[/tex]

Now apply product rule;

[tex]\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}[/tex]

Applying exponential and power rule;

[tex]\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}[/tex]

Solve the value of y'

[tex]y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}[/tex]

Now, find the value of slope m.

[tex]m=\left.y^{\prime}\right|_{x=0, y=4}[/tex]

[tex]\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4[/tex]

Now, using the point-slope formula, obtain the line equation as follows.

[tex]\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}[/tex]

Therefore, an equation of the tangent line to the curve is   [tex]y=-(4+e^4) x+4[/tex].

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New, larger bottle of shampoo contains 20 ounces. the bottle says you get 33% more than the amount in the original bottle. how many ounces of shampoo were in the original bottle?

Answers

Amount of shampoo in the original bottle is 15.0376 ounces.

Larger bottle of shampoo contains = 20 ounces

Let, amount of shampoo in the original bottle = x ounces

33% of amount of shampoo in the original bottle = ((33x)/100)

According to the question, amount of shampoo in the larger bottle is 33% more of amount of shampoo in the original bottle. So, mathematically we can write

20 = x + ((33x)/100)

⇒ 20 = x + 0.33x

⇒ 20 = 1.33 x

⇒ x = 20/1.33

⇒ x = 15.0376

Amount of shampoo in the original bottle is 15.0376 ounces.

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When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?

Answers

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

What are scatterplots?

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlation

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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Which statements are true about irrational numbers?
Select all that apply.
1. They are not real numbers.

2.Their decimal form contains a bar over one or more decimal numbers to show that they continue on infinitely.

3.They can be the square root of a non-perfect square.

4.They can be written as simple fractions.

5. Their decimal form contains an ellipsis, 3 dots, to show that they continue on infinitely.

Answers

Answer:

Step-by-step explanation:

the irrational number can't be represented to a fraction number, like pi and square root of 2 , e and so on, the third fourth choice are true

rational number and irrational number are included in real number, the second choice means the decimal numbers with circulating decimal, it is belong to rational number.

the fifth choice only be used to decimal number  with circulating decimal, not the irrational number.

It can reasonably be inferred from the passage that the main reason that the narrator considers great expectations to be the best gift he ever received is because?

Answers

Infer means to guess or reach a conclusion, especially based on an indirect hint.

What exactly does inferred mean?

The passage suggests that the main reason the narrator considers Great Expectations to be the best gift he ever received is that reading the book convinced him that he wanted to be a writer.

Infer means to draw a judgement based on evidence; if there is little proof, the term is close to conjecture. To come to a decision or conclusion based on knowledge or an assumption; to arrive at a conclusion through reasoning. To infer is to draw a conclusion based on facts or presumptions. Assuming that a child stole the dish of cookies because he was the only one in the room when they vanished is an example of inferring.

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Here is a data set ( n = 117 ) that has been sorted. 51.7 56.8 65.3 66.8 67.3 68.1 68.1 68.3 68.6 68.7 69 69 69.6 69.7 69.9 70.2 70.8 71.2 71.3 71.4 71.7 72.3 72.6 72.9 73 73.4 74.3 74.4 74.6 74.6 75.2 75.4 75.5 75.5 75.7 75.9 76.3 76.7 76.8 77.3 77.4 77.9 78 78.3 78.3 78.5 78.7 79 79.4 79.6 79.6 79.8 80.2 81.1 82 82.1 82.2 82.4 82.9 83.1 83.3 83.4 83.4 83.5 83.6 83.7 83.7 83.8 84 84.1 84.5 84.6 84.9 85.1 85.3 85.3 85.5 85.5 86 86.7 86.9 87 87.6 87.7 87.7 87.7 87.8 88.4 88.5 88.8 89.1 89.1 89.1 89.3 89.5 89.7 90.4 90.5 90.6 91 91.1 91.2 91.9 92 92.2 92.8 92.9 93.1 93.9 94.1 95.1 95.6 96.9 97.1 97.3 97.5 100.1 find the 82nd-percentile:

Answers

The 82nd Percentile is 89.784

How to calculate percentile in statistics?

The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.

The values' percentiles as determined by the formula are displayed below.

Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1

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4x + 17 = 5x + 6 whats the answer

Answers

Answer:

x=11

Step-by-step explanation:

4x + 17 = 5x + 6

Solve for x

Subtract 4x from each side

4x-4x + 17 = 5x-4x + 6

17 = x+6

Subtract 6 from each side

17-6 = x+6-6

11 =x

Answer:

[tex] \sf \: x = 11[/tex]

Step-by-step explanation:

[tex] \sf \: 4x + 17 = 5x + 6[/tex]

Subtract both sides by 4x to remove 4x.

[tex] \sf4x + 17 - 4x = 5x - 4x + 6 \\ \sf 17 = x + 6[/tex]

Subtract both sides by 6 to remove 6 .

[tex] \sf17 - 6 = x + 6 - 6 \\ \sf11 = x[/tex]

please help thank youuuu

Answers

Answer:  87/100

Step-by-step explanation:

can you tell me what -48<-6b<48 is ?

Answers

The value of 'b' written in inequalities is: 8 > b > -8.

What are the rules solving inequalities?

Inequalities are mathematical declarations that include the symbols > and <.

To'solve' an inequality, you must first identify a range, as well as ranges, of values which an unexplained x can take while still satisfying the inequality.In this unit, inequalities are solved with algebra and graphs.

Some rules for solving the inequalities are-

If a < b, then a + c < b + c: The direction of an inequality symbol is not changed by adding same number for every side.If a < b, then a – c < b – c: The direction of an inequality symbol is not changed by subtracting the same number out of each side.If a < b and if c are a positive number, then a×c < b×c: The direction of an inequality symbol is not changed by multiplying/diving each side by a positive number.If a < b and if c is a negative number, then a×c > b×c: When every side of an inequality is multiplied/divided by a negative number, the direction of a inequality symbol is reversed.

For the given inequality;

48 < -6b < 48

Divide the inequality by -6; By the rule four when negative number is used for division of multiplication, the sign reverse.

Thus,

8 > b > -8 which defined the limits for the b values.

Therefore, the interval for the value of 'b'  are obtained as  8 > b > -8.

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Write the equation of the line passing through the points (−3,9) and (−9,3).
Question content area bottom
Part 1
The equation of the line is enter your response here.

Answers

The equation of the line is y=x+12.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The points are

(-3,9)=[tex](x_{1} ,y_{1} )[/tex] and (-9,3)=[tex](x_{2} ,y_{2} )[/tex]

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

We have to Write the equation of the line.

According to given question we have,

Equation of line passing through the point (-3,9) and  (-9,3).

Slope of the line=

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\\=\frac{3-9}{-9+3} \\\\=\frac{-6}{-6} \\\\=1[/tex]

⇒y−9=1(x+3)

⇒y-9=x+3

Add 9 on both sides we get,

y=x+12

∴ y=x+12 which is in the form y=mx +c is the required equation.

Therefore, the equation of the line is y=x+12.

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y = x + 12

What is equation of a line?

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.

y-y₁=m(x-x₁)

mm₁=-1

Points (-3,9) and  (−9,3).

Slope of the line m = (y₂ - y₁)/(x₂ - x₁)

m = (3-9)/(-9+3)

m = 1

Now  equation of line passing through two points

(y - y₁)/(y₂ - y₁) = m*(x - x₁)/(x₂ - x₁)

(y - 9)/(3-9) = 1*(x - 3)/(-9+3)

y - 9 = x + 3

y = x + 12

Therefore, the equation of line is y = x + 12

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How much water should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​%

Answers

The amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

Amount of water added to alcohol solution

Let x represent the amount of water

Hence,

15% = .18(30)/(30+x)× 100          

Solve for x

.15 = 5.4/(30+x)

.15(30+x) = 5.4

30 + x = 5.4/.15= 36

x = 36 - 30

x = 6 ml

Therefore the amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

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(−7 + 4.6p) + (11.3p − 6)

Answers

Answer:

15.9p-13

Step-by-step explanation:

Answer:

15.9p-13

Step-by-step explanation:

i had this question and got it right

Help me out, Im not understanding what my answer is

Answers

6(4m -3) + 6 = 4(4m+11)

1) distribute what is outside of the brackets
in this case we would times (4m -3) by 6 and (4m + 11) by 4

24m - 18 + 6 = 16m + 44

2) get the like terms on the same side
24m - 16m = 44 + 18 - 6
(the signs of the terms you’re moving have to change)

3) calculate
8m = 56
56 / 8
m = 7

The given frequency distribution table shows the marks obtained by 32 students in a test.

Marks No. of Students

0-10 2

10-20 10

20-30 9

30-40 4

40-50 7


a. What is the class size?

b. What is the upper limit of the class interval 40-50?

c. What is the lower limit of the class interval 20-30?

d. What is the frequency of the class interval 10-20?

Answers

The class size is 10.

The upper limit of the class interval 40 - 50 is 50/

The lower limit of the class interval 20 - 30 is 20.

The frequency of class interval 10 - 20 is 10.

What is the frequency distribution?

A class interval is a group of values that are put together for computation in a frequency distribution. An example of a class interval is 20 - 30. The class size is the difference between the upper limit and the lower limit of a class interval. The class size is the same for all the data set.

Class size = upper limit - lower limit

50 - 40 = 10

The upper limit is the biggest number in a class. The lower limit is the smallest number in a class. For example in the class 20 - 30, the  upper limit is 30 and the  lower limit is 20. The frequency of a distribution is the number of times that data within a class appears in the data set. For example, the class 40 -- 50 appears 7 times in the data set.

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PLEASE HELP ITS DUE IS ONE HOUR !!!

Answers

The correct responses for the points, segments, lines, planes, are as follows;

1. M, S, X, and Y

2. Two lines are; [tex] \overleftrightarrow{SX}[/tex], [tex] \overleftrightarrow{YR}[/tex]

3. [tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]

4. [tex]\overrightarrow{MT}[/tex]

5. S, M, T

6. T

7. [tex] \overline{MT}[/tex]

8. [tex] \overleftrightarrow{SX}[/tex]

9. [tex] \overleftrightarrow{SX}[/tex]

10. [tex] \overline{MR}[/tex]

11. A line

12. A plane

13. A point

14. A plane

15. A ray

16. A segment

Please find attached the drawing for the figures in questions 17, 18, 19,and 20

What are the required points, segments, lines, planes and rays?

1. A point in Euclidean geometry is a location in space.

Four points are; M, S, X, and Y

2. A line has no thickness and extends indefinitely in both directions.

Two lines are;

[tex] \overleftrightarrow{SX}[/tex]

[tex] \overleftrightarrow{YR}[/tex]

3. Four segments are;

[tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]

4. A ray that has M as an endpoint is \overrightarrow{MT}

5. Three collinear points are; S, M, T

6. A point not on [tex] \overline{YR}[/tex] is T

7. A segment with points T and M as its endpoints is [tex] \overline{MT}[/tex]

8. A line that does not contain R is [tex] \overleftrightarrow{SX}[/tex]

9. A line containing M is; [tex] \overleftrightarrow{SX}[/tex]

10. A segment of lies on [tex] \overleftrightarrow{YR}[/tex] is MR

11. A toothpick suggests a line

12. A floor suggests a plane

13. The tip of a pin suggests a point

14. The water surface of a swimming pool suggest a plane

15. A beam of light from a laser suggests a ray

16. A fence pole suggests a segment

Please find attached the drawing for the figures in questions 17, 18, 19, and 20

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Three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.

$22.18
$6.28
$29.94
$11.09

Answers

If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.

Cost

First step is to calculate the amount that the three friend paid

Amount=$9.98×3

Amount=$29.94

Now let calculate the cost of the jalapeno poppers

Cost=$29.94-$18.85

Cost=$11.09

Therefore If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.

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The sales force at a certain company successfully closed 94 out of 200 sales calls. What was their percent success rate?

Answers

Answer:

47%

Step-by-step explanation:

Percentage of success = 94/200 * 100

= 94/2

= 47%

What is 17.1936 to the hundredths place?

Answers

Answer:

9

Step-by-step explanation:

The number 9 is in the hundredths place!

From left to right starting from the right side of the decimal, it goes tenths, hundredths, thousandths, etc!

Write an explicit formula for an, the nth term of the sequence 26, 24, 22

Answers

we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

We are given an arithmetic sequence:

26, 24 , 22 ....

We need to find the nth term of this sequence (aₙ)

We will first find the common difference between the terms:

Common difference = d = 24 - 26 = - 2

also, we know that initial term = a = 26.

We know the formula for aₙ is given by:

aₙ = a + ( n - 1 ) d

Substituting the values, we get that:

aₙ = 26 + ( n - 1 ) ( - 2 )

aₙ = 26 - 2 n + 2

aₙ = 28 - 2 n

Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

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Calculate the riemann sum r(f,p,c)r(f,p,c) for f(x)=xf(x)=x, p={1,1.3,1.6,2}p={1,1.3,1.6,2}, c={1.2,1.45,2

Answers

1.545 is  the riemann sum of the function .

What does Riemann sum do?

A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.

f(x) = x

p = { 1, 1.2 , 1.7 , 2}

c = { 1.1, 1.45,2}

fpr the interval  ( 1, 1.2) Δx = 0.2

                          ( 1.2, 1.7 ) Δx = 0.5

                           ( 1.7 , 2 )  Δx = 0.3

R(f, p,c ) = f(1.1) 0.2 + f( 1.45)0.5 +  f(0)0.3

             = (1.1) × 2  + ( 1.45) ×( 0.5) +  2 × 0.3

             = 0.22 + 0.725 + 0.6

             = 1.545

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the points (-3,1), (-1,1), (0,-1), (-1,-3), (-3,-3) and (-4,-1) are vertices of a polygon. what type of polygon is formed by these points?

Answers

Answer:

The type of polygon that is formed is a Hexagon because of its 6 sides.

Step-by-step explanation:

When you graph all of these points into a coordinate grid it should look like this:

Write an absolute value expression you could use to find the absolute value of 3.1 + (-6.3)

Answers

The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 3.1 + (-6.3)

To find the absolute value of 3.1 + (-6.3):

= |3.1 + (-6.3)|

= |3.1 - 6.3|

= |-3.2|

= 3.2

Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

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In a track meet, Team A won 3 more medals than two times the medals won by Team B. Team A won 9 more medals than Team B, Find the number of medals for each team. Show all set-up, work, and write a complete sentence for your answer.

Answers

The number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.

How to solve Algebra Word Problems?

Team A won 3 more medals than two times the medals won by Team B.

If the number of medals won by team B is x, than;

Number of medals won by team A = 3 + 2x

Number of medals won by team B = x

Also, we are told that Team A won 9 more medals than Team B.

Thus;

(3 + 2x) = x + 9

2x - x = 9 - 3

x = 6

3 + 2x = 3 + 2(6) = 15 medals

Thus, we conclude that the number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.

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sam ran 63,756 feet in 70 minutes. what’s sams rate in miles per hour

Answers

10.35 miles per hour

Answer:

63,756 ft / 70 min

Solve the inequality.
3w-5>2w+w-7
1. w-2
2. All real numbers
3. No solution
4. w-2

Answers

Answer:

2. All real numbers

Step-by-step explanation:

Hope this helps!

Please mark as brainliest if correct!

Drag the numbers below to put them in order from least to greatest:
0.1 2.4 -7.9 -3.3 -7.7 -13
Submit Answer

Answers

Answer:

-13, -7.9, -7.7, -3.3, 0.1, 2.4

Step-by-step explanation:

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-7-(square root -18)/ 42 Carbonic anhydrase is a protein present in red blood cells. It catalyzes a reaction to convert carbon dioxide into carbonic acid and bicarbonate ions so that CO2 waste may be more easily removed from the body.What role does this protein play in the body? Exercise 1 Draw one line under the simple subject. Draw two lines under the simple predicate. Draw a vertical line (|) between the complete subject and the complete predicate. Roger slid into third base safely. FIRST Draft of the pomegranate seeds The two major atmospheric gases that absorb energy from the sun are :__________a. hydrogen and carbon dioxide. b. carbon dioxide and water vapor. c. nitrogen and hydrogen. d. oxygen and nitrogen. Identify some materials that possess a non crystalline structure?3.1 what is the dilemma between design and manufacturing in terms of mechanical properties? Outline the initiative that Woolworths , use to lessen their impact on environment Oceanic crust is pushed beneath continental crust during.. When the winds have removed all smaller particles, the remaining surface of rocks and gravel is _____ a. bornhardt b. exotic playa c. desert pavement What is the amount of fringe benefits that should be included in linda and richard's gross income on their 2020 tax return? Today's positive psychology is grounded in an earlier view called the _____ perspective. An operation has a build up of grease and condensation on the walls and ceiling. what is the most likely the problem? What two things can validate a student's background and promote learning?O Family language and foodO Processes and content of instructionO Location of school and when taughtO Teacher's language and background. Connie and Sadie are having a conversation and are talking about how good looking Mark is. Sadie says to Connie, "Mark is SO hot!" The word "hot" in this phrase is an example of what type of meaning of the word? What is the state of hybridization of the central 0 atom in 03? describe the bonding in 03 in terms of delocalized molecular orbitals. If DM = 26 and point G lies on the perpendicular bisector of DM, what is the value of r? Segment D M with point G between the endpoints. Segment D G has length R plus 3, and segment G M has length 4R minus 28. A.10 B.13 C.30 D.52 In a suit for damages by reason of default, the damaged party may claim liquidated damages if? if an individual only consumes goods x and y and is currently maximing her total benefits, which of the following must be true When individuals use all available information about an economic variable to make a decision, expectations are? . About how long ago did Archimedes live?A. 2,260 years agoB. 2,000 years agoC. 250 years agoD. 2,000,000 years ago