Find the domain and range of the graph

A. D: X ≤ 5
R: y ≤ 7


B. D: X ≤ 7
R: y ≤ 5

C. D : X < 5
R: y < 7

D. D: X < 7
R: y < 5

Find The Domain And Range Of The Graph A. D: X 5 R: Y 7B. D: X 7R: Y 5C. D : X &lt; 5R: Y &lt; 7D. D:

Answers

Answer 1
General Formulas and ConceptsAlgebra I

Domain

The set of x-values that can be inputted into function f(x)

Range

The set of y-values that are outputted by function f(x)

Interval Notation

ApplicationStep 1: Define

Let's organize what is given to us from the problem.

We are given a graph of a function.

Step 2: Solve

We need to analyze the graph to determine the domain and range of the graph.

If we take a look at our x values, we see that our graph starts at x = 3 and continues infinitely.

∴ we can write the graph's x-values as [3, ∞), or x ≥ 3.

⇒ The domain of the graph is equal to x ≥ 3.

If we take a look at our y values, we see that our graph begins at y = 1 and also continues infinitely.

∴ we can write the graph's y-values as [1, ∞), or y ≥ 1.

⇒ The range of the graph is equal to y ≥ 1.

Answer

∴ the answer to the question is equal to:

A. D: x ≥ 3

    R: y ≥ 1

___

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___

Topic: Algebra I

Unit: Functions


Related Questions

Four thousand two hundred carnations were reserved for use on thge float. If this was 7/10 of the flowers needed, how many glowers would be on the float

Answers

The flowers on the float would be 6.000 flowers. The result is obtained by using fraction multiplication.

How to count a set of objects using fractions?

Fraction represents the part of a set of objects. It has two parts separated by a dividing line, namely numerator at the top and denominator at the bottom.

For example:

1/4 (one-fourth)2/5 (two-fifth)

It means one of four parts and two of five parts.

We have four thousand two hundred carnations on the float. It was 7/10 of flowers needed. Find the whole flowers on the float!

The carnations of a set of flowers is 7/10. It is 4200 carnations.

The carnations part is 7 and the whole part of flowers is 10.

Using fraction, the whole flowers would be

= 10/7 × 4200

= 6.000 flowers

Hence, the number of flowers needed to be on the float is 6.000 flowers.

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How many times would you expect to roll a 5 if you rolled a fair die 1,300 times? Round your answer, if needed.

A.
0.1667

B.
1,083

C.
217

D.
95

Answers

Answer: C, 217

Step-by-step explanation:

Chose the best 3 options

Answers

The beat three options are:  The slope of the line is 1/5, (2) The possible equation if the line is y=1/5x, (3) The slope and the y intercept are the same

What is slope of a line?

Lope is the rate of change of y with respect to x.  slope is also the increase in y over increase in x vice versa

Slope is denoted by rise/run

The Possible solutions from the graph are:

The slope and y-intercept are the sameThe possible equation of the line is y=1/5xThe slope of the line is 1/5

Taking any two points on the graph : (4, 1) and -4, -1,)

We can find the slope as (1--1)/4--4

Therefore, the Slope = 2/3≡1/5

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(a) On the axes provided, sketch a slope field for the given differential equation at the 9 points indicated.

Answers

A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.

We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.

First we construct a table which contains the values of slope.

Consider given differential equation dy/dx = xy/2

where -1 ≤ x ≤ 1,

1 ≤ y ≤ 3

Let the slope be m

so, dy/dx = m

For x = -1, y = 1

m = (-1 × 1)/2

   = -1/2

For x = -1, y = 2

m = (-1 × 2)/2

   = -1

For x = -1, y = 3

m = (-1 × 3)/2

   = -3/2

For x = 0, y = 1

m = (0 × 1)/2

   = 0

For x = 0, y =2

m = (0 × 2)/2

   = 0

For x = 0, y = 3

m = (0 × 1)/2

   = 0

For x = 1, y = 1

m = (1 × 1)/2

   = 1/2

For x = 1, y = 2

m = (1 × 2)/2

   = 1

For x = 1, y = 3

m = (1 × 3)/2

   = 3/2

So, the table is:

x/y     1  2    3

-1     -1/2   -1      -3/2

0     0   0   0

1       1/2     1      3/2

Therefore, the slope field is as shown below.

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Find the radius of a circle that has a sector area of 165.6 cm2 and an angle measure of 129*. Round your answer to the nearest tenth.

Answers

To find the radius of a circle given the area of a sector and the measure of the central angle of the sector, we can use the formula:

radius = sector area / (central angle measure / 360)

In this case, the sector area is 165.6 cm2 and the central angle measure is 129*. Plugging these values into the formula gives us:

radius = 165.6 / (129 / 360)

= 165.6 / (129 / 360)

= 165.6 / (0.3583)

= 462.9 cm

Rounding this value to the nearest tenth gives us a radius of approximately 463 cm.

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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What is the solution of the equation 8x 3y 5 and 3x 2y 5 answer?

Answers

The solution of the equation is x = 1 and y = 0.

We can solve this equation using the substitution method.

First, subtract 5 from both sides of the equation to isolate the x and y terms:8x - 3y = 0

3x - 2y = 0

Next, divide both sides of the first equation by 8:

x = (3/8)y

Substitute this expression for x into the second equation:

3(3/8)y - 2y = 0

Simplify:

(-13/8)y = 0

Divide both sides by -13/8:

y = 0

Now, substitute y = 0 into the first equation:

8x - 3(0) = 0

Simplify:

8x = 0

Divide both sides by 8:

x = 0

Therefore, the solution of the equation is x = 1 and y = 0.

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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

How would I do this?

Answers

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{28p^5-8p^4 + 40p^2}{4p^3}\implies \cfrac{28p^5}{4p^3}-\cfrac{8p^4 }{4p^3}+\cfrac{ 40p^2}{4p^3}\implies 7p^5 p^{-3}-2p^4 p^{-3}+10p^2p^{-3} \\\\\\ 7p^{5-3}-2p^{4-3}+10p^{2-3}\implies 7p^2-2p+10p^{-1}\implies 7p^2-2p+\cfrac{10}{p}[/tex]

A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$26. Option B is a commission rate of 5​% on weekly sales. How much does he need to sell this week to earn the same amount with the two​ options?

Answers

The total amount of sales he must make should be of $20800.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$26. Option B is a commission rate of 5​% on weekly sales

Assume that the amount of sales he needs to make is of ${x}. So, for same amount, we can write -

(26 x 40) = 5% of {x}

(26 x 40) = (5/100) x {x}

{x} = (26 x 40 x 100)/5

{x} = (26 x 40 x 20)

{x} = 26 x 800

{x} = 20800

Therefore, the total amount of sales he must make should be of $20800.

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Graph a line given the point A(-2, 3) and the slope of
2|3

Answers

Answer:

Step-by-step explanation:

Can someone help me please? Picture attached

Answers

a = [tex]6\sqrt{5}[/tex] is the right angled triangle's third side when the right angle triangle's opposite sides are 18 and 12, respectively.

what is triangle ?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

given

by pythagoras theorem

c2 = a2 + b2

18*18 = a2 + 12*12

324  - 144 = a2

a2 = 180

a = [tex]6\sqrt{5}[/tex]

a = [tex]6\sqrt{5}[/tex] is the right angled triangle's third side when the right angle triangle's opposite sides are 18 and 12, respectively.

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If 2x − 2 ≤ f(x) ≤ x2 − 2x + 2 for x ≥ 0, find lim x→2 f(x).

Answers

The value of [tex]\lim _{x \rightarrow 2}[/tex] f(x) by Sandwich theorem is 2.

As per the given data the function limits are:

2x − 2 ≤ f(x) ≤ x2 − 2x + 2 for x ≥ 0

Here we have to determine the value of [tex]\lim _{x \rightarrow 2}[/tex] f(x)

Hence by Sandwich theorem:

The sandwich theorem, also known as the squeeze theorem, asserts that if two functions, g (x) and h (x), are squeezed between one another and their respective limits at a given position are both equal to L, then the limit of f (x) at that point is also equal to L.

We can use the theorem to find tricky limits like sin(x)/x at x=0, by "squeezing" [tex]\frac{sin(x)}{x}[/tex] between two nicer functions and ​using them to find the limit at x = 0.

[tex]& \lim_{x \rightarrow 2}(2 x-2) \leq\lim_{x \rightarrow 2} f(x) \leq \lim_{x \rightarrow 2}\left(x^2-2 x+2\right) \\[/tex]

[tex]& \Rightarrow 2 \leq \lim _{x \rightarrow 2} f(x) \leq 2 \\[/tex]

Hence [tex]\lim _{x \rightarrow 2}[/tex] f(x) = 2

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somone please help me with this im begging you

Answers

Answer:

For Q.1, the answer is 9

Step-by-step explanation:

The volume formula for a cylinder is V=πhr^2. The volume formula for a cone is V=(πhr^2)/3. You might notice that the formulas are very similar; the only difference is the divided by three at the end. Because we are going from cylinder to cone, we have to multiply by three instead of dividing. Doing this, we get 3*3=9.

Try solving the rest of the problems using these two formulas by yourself. :)

In AABC, AB = AC and AP 1 BC. If AB= (2x + 3) cm, AC = (3y-1) cm, BP = (y + 1) cm and PC = (x + 2) cm find the values of x and y.

Answers

Answer:

x = 1y = 2

Step-by-step explanation:

Given isosceles triangle ABC with AB≅AC, altitude AP, and AB=(2x+3), AC=(3y-1), BP=(y+1), and PC=(x+2), you want the values of x and y.

Isosceles triangle

Corresponding parts of ∆ABP and ∆ACP are congruent, so we have ...

  2x +3 = 3y -1

  x +2 = y +1

Solution

Subtracting twice the second equation from the first gives ...

  (2x +3) -2(x +2) = (3y -1) -2(y +1)

  -1 = y -3 . . . . simplify

  2 = y . . . . . . add 3

Substituting into the second equation, we have ...

  x +2 = 2 +1

  x = 1 . . . . . . . .subtract 2

The values of x and y are 1 and 2, respectively.

i think its one but im not sure

Answers

Answer: Commutative property.

Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.

Let me know if this is right! :)

8. Given : triangle PQR and triangle TSR are right triangles , R is the midpoint of overline PT , overline PQ cong overline TS Prove : Delta PQR cong Delta TSR

Answers

By using the ASA Congruence Theorem, Delta PQR is congruent to Delta TSR.

We can prove this by using the fact that triangle PQR and triangle TSR are both right triangles and that R is the midpoint of overline PT and overline PQ is congruent to overline TS. Since R is the midpoint of overline PT, it follows that overline PR is congruent to overline TR (by the midpoint theorem).

Since PQR is a right triangle, and R is the right angle, it follows that angle PQR is congruent to angle TSR (by the definition of a right angle). Since overline PQ is congruent to overline TS, it follows that angle PQS is congruent to angle TSR (by the definition of congruence). Together, these congruences imply that triangle PQR is congruent to triangle TSR by the ASA congruence theorem.

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James is building a doll house that is proportional to his own house. He is using a scale of 0. 5inch = 1foot. If the doll house is 12. 3inches tall, how tall is his house. ?

Answers

James's house is 24.6 feet tall because he is using a scale of 0.5 inch per 1 foot. To get this measurement, he multiplied 12.3 inches (the height of the doll house) by 2.

1. Take the height of the doll house (12.3 inches).

2. Multiply 12.3 inches by 2.

3. The result is 24.6 feet which is the height of James's house.

James is building a doll house that is proportional to his own house. He is using a scale of

0.5 inch = 1 foot,

which means that for every 0.5 inch in the doll house, 1 foot is represented in his house. To calculate how tall his house is, we need to figure out how many inches the doll house is. The doll house is 12.3 inches tall. To get the height of James's house, we need to multiply this by 2. Thus, 12.3 inches multiplied by 2 equals 24.6 feet, which is the height of James's house. This is because for every 0.5 inch in the doll house, 1 foot is represented in his house. Therefore, with the scale of 0.5 inch = 1 foot, the height of James's house is 24.6 feet.

1. Determine the scale of the doll house (0.5 inch = 1 foot).

2. Measure the height of the doll house (12.3 inches).

3. Multiply 12.3 inches by 2.

4. The result is 24.6 feet which is the height of James's house.

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Evaluate the infinite geometric series $0.79 0.079 0.0079 0.00079 0.000079 \dotsb$. Express your answer as a fraction with integer numerator and denominator.

Answers

Sum of the infinite geometric series = 79/9

A geometric series, or the first few terms of a geometric sequence, are the sum of an infinite number of terms with a constant ratio between them in mathematics.

Given Geometric sequences,

0.79, 0.079, 0.0079, 0.00079, 0.000079

so, the geometric series is:

0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +........

The first term of given geometric series is 0.79

The second term of given series is 0.079

Therefore, the common ration is= 0.079/0.79 = 1/10

The Sum of infinite geometric series is given by, S= a/(1-r)

a here denotes the first term of the series

r denotes the common ration

so,

S = 0.79/{1-(1/10)}

or, S = 0.79/(9/10)

0r, S = 0.79 * (10/9)

0r, S = 79/9

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How do you add a function in FG?

Answers

To add a function in FG, open the functions. php file in your theme folder, add the code for the function at the bottom of the file, save the file, and add the code for the function in the template files where you want it to appear.

To add a function in FG, you first need to open the functions. php file in your theme folder. This is where all the functions for your theme will be stored. Once you have the file open, you can add the code for the function that you want to create. This code should go at the bottom of the file. After you have added the code, save the file. Now, you need to add the code for the function in the template files where you want it to appear. To do this, add the following code: <?php your_function_name(); ?>. This code will call the function that you created in the functions.php file. Once you have added this code, save the file and the function should now appear in your theme.

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Is this right?

If not please help me understand or tell me the answer.

Answers

Answers:Volume = 90 cubic inchesSurface area = 126 square inchesMaterial Cost = Not sure (see the explanation below)

=========================================

Explanation:

L = 6 inches = length

W = 3 inches = width

H = 5 inches = height

----------------------

V = volume

V = L*W*H

V = 6*3*5

V = 90 cubic inches is the volume

----------------------

SA = Surface Area

SA = 2*(LW + LH + WH)

SA = 2*(6*3 + 6*5 + 3*5)

SA = 126 square inches is the surface area

-----------------------

Unfortunately there isn't enough information to know the material cost. Please post the full problem, and any other relevant information connected to this question.

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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EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!

Answers

The required graph of the system of linear equations has been attached below.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The system of linear equations is given in the question, as follows:

2x + y = 8      .....(i)

-x + 2y = 6    .....(ii)

To graph the equations using the slope and y-intercept,

1) To determine the slope m and the y-intercept, write the equation in the form y = mx + b. (0, b).

Plot the y-intercept next.

3) Depending on whether the slope is positive or negative, go up, down, or left or right from the y-intercept.

Thus, the required graph of the system of linear equations.

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Riders must be at least 42 inches tall to ride the coaster. Write an addition inequality to determine how much taller William must be to ride the coaster. Let x be the variable representing how much taller

Answers

An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.

Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.

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How do you make a truth table?

Answers

If we want to create a truth table , for say expression  (P ∨ Q)∧(~P⇒Q) , then we will create different columns having the column head as , P , Q , ~P , P ∨ Q,~P⇒Q and  (P ∨ Q)∧(~P⇒Q) and then perform the logical operation on them.

Truth table is a medium  used to perform logical operations on expressions. These operations consists of Boolean algebra or Boolean functions expressions.

On performing these logical operation we get to know whether the propositional expression is correct or incorrect, based on the input values. This  entire process is based on Boolean algebra and the table is made up of rows and columns for one or more input values.

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if crystals room measures 10.5 ft long and 7 feet wide and 9 feet tall how much paint will be needed to paint her bedroom

Answers

Answer:

She needs 18,731.6 Litres of paint to paint her bedroom.

Step-by-step explanation:

Given;Length (l) = 10.5 ftWidth (w) = 7 feetHeight (h) = 9 feetTo Find;How much paint will be needed to paint her bedroom.Formula;V = l × w × h

So,

V = l × w × h

V = 10.5 × 7 × 9 feet

V = 661.5 cubic feet

We know that,

1 cubic foot = 28.317 litres

So,

661.5 × 28.317 = 18,731.6 Litres

Thus, She needs 18,731.6 Litres of paint to paint her bedroom.

Is this a perfect square trinomial X² 14x 49?

Answers

x² + 14x + 49, this is a perfect square trinomial, which is expressed as

(x + 7)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.

Given that,

x² + 14x + 49

(x)² + 2(7x) + 49

= (x)² + 2(x)(7) + 7²

This is similar to a² + 2ab + b² = (a + b)²

so, we can write:

= (x + 7)²

= (x +7) (x + 7)

so, this is a perfect square trinomial.

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A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas

Answers

Answer: 360,000

Step-by-step explanation: First you would convert 12 kilometers to meters, which is 120,000. Then multiply that by 3. You get 360,000 meters. Therefore, the car can travel 360,000 meters on liters of gas.

What will be the minimum value of the expression 3x² 6x 6?

Answers

The minimum value of the expression 3x² + 6x + 6 is 3.

Therefore the answer is 3.

A quadratic mathematical expression contains a variable of highest degree of 2 and it is of the general form ax² + bx + c, where a, b and c are constants.

Minimum value of a quadratic equation of form ax² + bx + c is when

x = -b/ 2a

Then minimum value is

a( -b/ 2a )² + b( -b/ 2a ) + c

= (b²a + -2ab² + 4a²c)/ 4a²

= ( - b² + 4ac)/ 4a

= c - b²/4a

In the expression 3x² + 6x + 6, a = 3, b =6 and c = 6. So minimum value is

= 6 - 6²/ (4×3)

= 3

--The question is incomplete, answering  to the question below--

"What will be the minimum value of the expression 3x² + 6x + 6?"

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what is 5 2/3 x 3/4 equal?

Answers

Answer: 4 1/4

Step-by-step explanation: Decimal= 4.25

Answer:

Exact form: 17/4

Decimal Form: 4.25

Mixed number form: 4 1/4

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What is the torque on the lever? hello- need help on this :) BRAINLIEST IF YOU CAN HELP ME! 52. 0.5(cos 100deg + I sin 100 deg ) convert to trigonometric form PAGE 347; 52, 58, 60 I NEED HELP ASAP!!!!!!!! Question 22 of 22 Several members of the family in the pedigree who suffered from a disease are colored in black. Currently deceased members of the family are struck out with a line. Based on the data in the pedigree, propose a Mendelian model that would explain the inheritance of this disease. Explain how the data is consistent with your model. A scientist hypothesizes that a mutation at a single locus is responsible for the pattern of inheritance seen in this pedigree. Explain how a mutation in a gene can arise during meiosis. Describe one strategy organisms use to prevent such mutations from arising. Cardi B uses 1/2 cup of sugar to make 4 1/3 batches of brownies. How much sugar is required to make each batch of brownies? What are the 5 trends changing the world of work? The shorter the length of time between a present value and its corresponding future value,O the higher the interest rate used in the discounting to the present value.O the higher the present value, relative to the future value.O the lower the present value, relative to the future value.O None of these options What do you think is a wise financial decision your government can make? disadvantages of network Did you have any problem ________ our houe? find to find finding for finding When the makers of Budweiser beer decided to create a line of barbecue sauces, the company was using a _______ strategy. Multiple choice question. Although Leo Szilard conducted the first atomic research, he was opposed to testing atomic bombs in New Mexico. dropping atomic bombs on Japan. testing the atomic bomb on a deserted island. sending a Naval blockade to force Japan to surrender. hello i need help with my math question please thank. Antarctica contains 26. 8 million cubic kilometers of ice. Assume that the average temperature of this ice during the summer months is20 C If all of this were heated to 4 C and melted to form water, what volume of liquid water would form? Television journalist barbara walters died on december 30. What was her first job in broadcasting? Prove that limx2. 1/1-x= -1 using the definition of limit . 18 POINTS dont explain a.) neitherb.)SASc.)HL 1. In contrast to what many older generations believe about texting, discuss McWhorter's views on the subject. What does he think and why? 2. Describe the similarities McWhorter draws between speaking and texting. 3. Explain how "lol" has evolved over the years. 4. Discuss McWhorter's purpose for drawing a connection between various individuals from various points in time (i. E. The professor, a schoolteacher, the President of Harvard, a superintendent and a poor man, among others). 5. What is the last thing McWhorter says he would want to know if he had the ability to go into the future? What would he do with this knowledge? A lighthouse that rises 49 feet above the surface of the water sits on a rocky cliff that extends 19 feet from the base. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 30.0 degrees about the horizontal.If the sailors eye level is 14 feet above the water, how far is the ship from the rocks?