PLEASE HELP PEOPLE MAKE IT LOOK LIKE THEY ARE ANSWERING IT THEN THEY QUIT PLEASE HELP

PLEASE HELP PEOPLE MAKE IT LOOK LIKE THEY ARE ANSWERING IT THEN THEY QUIT PLEASE HELP

Answers

Answer 1

The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

[tex]$f(x)=x^{2}+15[/tex] and [tex]f(x)=64[/tex]

To find the solutions when f(x) = 64.

Both are equations of f(x), so equate the given equations, we get

[tex]x^2+15=64[/tex]

Subtract 15 from both sides of the equation.

[tex]x^2+15-15=64-15[/tex]

[tex]x^2=49[/tex]

49 can be written as 7².

[tex]x^2=7^2[/tex]

Taking square root on both sides of the equation, we get

x = ±7

The solutions to f(x) = 64 is x = 7 and x = –7.


Related Questions

Jaylynn draws a hen on graph paper using the scale shown below the hen has a length of 16 units in the drawing what is the height in centimeters of the actual hen

Answers

Answer:

Step-by-step explanation:

48

Find the minimum value of
C = 4x + 3y
Subject to the following constraints:
x 20
y20
2x + 3y > 6
3x – 2y = 9
x + 5y = 20

Answers

Final answer:

To find the minimum value of C given the constraints, one must plot these constraints, find the feasible region's vertices, evaluate C at each vertex, and select the minimum value obtained. The minimum value of C = 4x + 3y, given the constraints and the corrected understanding of them, is 29.

Explanation:

To find the minimum value of C = 4x + 3y subject to the given constraints, we need to first correct the constraints provided, as it seems there might be a misunderstanding in how they were presented. Assuming the constraints meant to be:

1. [tex]\(x \geq 0\)[/tex]

2. [tex]\(y \geq 0\)[/tex]

3. [tex]\(2x + 3y \geq 6\)[/tex]

4.[tex]\(3x - 2y = 9\)[/tex]

5.[tex]\(x + 5y = 20\)[/tex]

We will solve the system of equations (4) and (5) to find the values of x and y that satisfy these conditions, and then we will check if these values satisfy all other constraints including (3). If they do, we'll use these values to find C.

Solving the equations simultaneously:

From equation (4): 3x - 2y = 9

From equation (5): x + 5y = 20

Multiplying equation (5) by 3 to eliminate x, we get:

3(x + 5y) = 3(20)

3x + 15y = 60

Now, subtract equation (4) from this result to eliminate x:

3x + 15y - (3x - 2y) = 60 - 9

3x + 15y - 3x + 2y = 51

17y = 51

y = 3

Substitute y = 3 into equation (5) to find x:

x + 5(3) = 20

x + 15 = 20

x = 5

Now, check if [tex]\(x = 5\) and \(y = 3\) satisfy the constraint \(2x + 3y \geq 6\):[/tex]

[tex]\[2(5) + 3(3) \geq 6\][/tex]

[tex]\[10 + 9 \geq 6\][/tex]

[tex]\[19 \geq 6\] - This is true.[/tex]

Since x = 5 and y = 3 satisfy all the constraints, we can calculate \(C\):

C = 4x + 3y

C = 4(5) + 3(3)

C = 20 + 9

C = 29

Therefore, the minimum value of C = 4x + 3y, given the constraints and the corrected understanding of them, is 29.

An engineer scale model shows a building that is 3 inches tall. If the scale is 1 inch = 600 feet, how tall is the actual building in feet ?

Answers

The actual height of building is 1800 feet.

Step-by-step explanation:

Given,

Height of building in model = 3 inches

Scale used by engineer;

1 inch = 600 feet

Therefore;

Actual height of building = Height in model * Scale used

Actual height of building = 3 * 600

Actual height of building = 1800 feet

The actual height of building is 1800 feet.

−1.2·(−0.4−(−4.6)−(+4.7))

Answers

Answer:

-0.62

Step-by-step explanation:

Solve x2 + 2x + 9 = 0. (2 points) x equals negative 2 plus or minus 4 I square root of 2 x equals negative 2 plus or minus 2 I square root of 2 x equals negative 1 plus or minus 4 I square root of 2 x equals negative 1 plus or minus 2 I square root of 2

Answers

Answer:

it is D (-1 + or - 2i square root of 2)

Step-by-step explanation:

just took test

The value of x obtained after solving the equation  x² + 2x + 9 = 0 will be x = -1 ±2i √(2)(x equals negative 1 plus or minus 2 I square root of 2).Option D is correct.

What is a quadratic equation?

Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

it is given that,

x² + 2x + 9 = 0

Rearrange the equation as

x² + 2x  = - 9

Add 1 on both sides of the equation,

x² + 2x +1 = - 9 +1

x² + 2x +1 = - 8

(x+1)² = -8

Taking square root,

(x+1) = √ -8

Subtract 1 from both sides,

x+1-1 = -1 ±√(-8)

x = -1 ±√(-8)

√(-8) can be written as,

√(-8) = 2i√2

Substitute the values,

x = -1 ±2i sqrt(2)

Thus, the value of x obtained after solving the equation  x² + 2x + 9 = 0 will be x = -1 ±2i √(2)(x equals negative 1 plus or minus 2 I square root of 2).Option D is correct.

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Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does she get paid for working 24 days?

Answers

Answer:

$1440

Step-by-step explanation:

First, find the unit rate by dividing 300 by 5, which equals 60. So, Kendra earns $60 in one day. Then, multiply 60 by 24, which equals 1440. So, Kendra makes $1440 in 24 days. Hope this helped!

Answer:1440 dollars earned In 24 hours

Step-by-step explanation: first divide 300 by 5 to get 60 then multiply 60 by 24 to get 1440


For which two values of T will D = 40? Round to the nearest tenth.

Answers

Answer:I believe it is 20

Solve for a
h = a/4

Answers

Answer:

a=4h

Steps:

4h=a swap the sides

a=4h

So , a=4h

A binomial trial is one in which there are four possible outcomes.

A. True

B. False

Answers

Answer:

The answer is B: False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You and a friend race each other. You give your friend a 50-foot head start. The distance y (in feet) your friend runs after x seconds is represented by the linear function y=14x+50. The table shows the distances you run.



a. Who runs at a faster rate? What is that rate?

response - correct
You run faster.


Question 2
The rate is
feet per second.

b. Write a linear function that relates your distance to the number of seconds. In the same coordinate plane, graph the linear functions that represent the distances of you and your friend.

y=


Question 3
Time (seconds)Distance (feet)

Question 4
c. For what distances will you win the race? Explain.

response - correct
You catch up to your friend after you run 190 feet, so you will be ahead of him for any distance greater than 190 feet. I just need the answer for question 4 plz.

Answers

Answer:

You catch up to your friend after you run 190 feet, so you will be ahead of him for any distance greater than 190 feet.

Step-by-step explanation:

A function, f, passes through the points (1,1), (2,7) and (3,25). A function, g, passes through the points (1,36), (2,43) and (3,50).

Select the correct answer.

Answers

Answer:

As the value of x increases, the value of f(x) will eventually exceed the value of g(x) is the correct option.

Step-by-step explanation:

A function, f, passes through the points (1,1), (2,7) and (3,25).

The equation of the function 'f' can be written as:

The f(x) is obtained by:

                                      [tex]f\left(x\right)=3f\left(x-1_\right)+4[/tex]

                                      [tex]f\left(4\right)=3f\left(3\right)+4=\left(25\times 3\right)+4=75+4=79[/tex]

 

A function, g, passes through the points (1,36), (2,43) and (3,50).

The g(x) is obtained by:

                                       [tex]g\left(x\right)=g\left(x-1\right)+7[/tex]

                                  [tex]g\left(4\right)=g\left(4-1\right)+7=g\left(3\right)+7=50+7=57[/tex]

So, value of f(x) at x = 4 exceeds the value of g(x) at x = 4.

Therefore, as the value of x increases, the value of f(x) will eventually exceed the value of g(x) is the correct option.                                                                                                                                                          

Find the volume of a square prymaid with a base of 9 ft and a height of 14 ft
126 ft³

277 ft³

378 ft³

1134 ft³

Answers

Answer:

Volume of the Square pyramid [tex]=378.27 Feet^3[/tex]

Step-by-step explanation:

A Square pyramid is the pyramid whose base is in the shape of a Square.

Volume of a Square Pyramid:

                     [tex]BASE*BASE*\frac{HEIGHT}{3}[/tex]

[tex]Base= 9 feet[/tex]      and    

[tex]Height= 14 feet[/tex]

Volume of the square Pyramid:

                                                 =[tex]9*9*\frac{14}{3}[/tex]

                                               [tex]=81*4.67[/tex]

                                            [tex]=378.27 Feet^3[/tex]

The volume of the Square pyramid [tex]=378.27 Feet^3[/tex]

How many solutions are there to this equation 3x(x-4)+5-x=2x-7

Answers

Answer:

  2 solutions

Step-by-step explanation:

I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...

x = 1x = 4

__

To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:

  3x(x -4) +5 -x -(2x -7) = 0

  3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses

  3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms

  3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor

The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.

__

Alternate method

Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...

  d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c

  d = (-15)^2 -4(3)(12) = 225 -144 = 81

This positive value means the equation has 2 real solutions.

On a container ship there were 30 small containers that each weighed 3 tons, 20 medium
containers that each weighed 5 tons, and 10 large containers that each weighed 8 tons.
Find the mean weight of the containers on this ship.

Answers

Final answer:

The mean weight of the containers on the ship is found by adding the total weight of all the containers (270 tons) and dividing by the total number of containers (60), giving a mean of 4.5 tons per container.

Explanation:

In this problem, we are asked to find the mean weight of the containers on a ship. The mean is the average value of a set of numbers, found by adding all the numbers together and then dividing by the quantity of numbers.

First, let's compute the total weight of all the containers. The weight of the 30 small containers are 30 containers * 3 tons each = 90 tons. The weight of the 20 medium containers are 20 containers * 5 tons each =  100 tons. The weight of the 10 large containers are 10 containers * 8 tons each = 80 tons.

So, the total weight of all the containers is 90 tons + 100 tons + 80 tons = 270 tons. And the total number of containers is 30 + 20 + 10 = 60 containers.

So, the mean weight of the containers is 270 tons Total Weight / 60 = 4.5 tons/container. So, the mean weight of the containers on the ship is 4.5 tons.

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The soccer team is selling tubs of cookie dough and brownie mix. Elaina raised $75 by selling one tub of cookie dough and five tubs of brownie mix. Megan raised $141 by selling three tubs of cookie dough and eight tubs of brownie mix. How much is a tub of brownie mix?

Answers

The cost of one tub of brownie mix = $12

Step-by-step explanation:

Step 1 :

Let x represent one tub of cookie mix's cost and y represent one tub cookie mix's cost

Total amount raised by Elaine =  $75

Number of cookie mix tub sold by Elaine = 1

Number of brownie mix tub sold by Elaine = 5

This can be represented by the equation

x + 5 y = 75 => x = 75 - 5y

Step 2 :

Total amount raised by Megan =  $141

Number of cookie mix tub sold by Megan = 3

Number of brownie mix tub sold by Megan = 8

This can be represented by the equation

3 x + 8 y = 141

Step 3 :

Solving the equations obtained in the above steps we have ,

3 ( 75-5y) +8y = 141

225 - 15y + 8y = 141

-7y = -84 => y = 12

Step 4 :

Answer :

The cost of one tub of brownie mix is $12

Answer:

Step-by-step explanation:

12 dollars

Kendra is babysitting her cousins, who are quintuplets. At snacktime, Kendra puts 5 plates on the table. She cuts apples into slices and places an equal number of slices on each cousin's plate. There is a total of 35 apples slices on the plates.
Which equation can you use to find the number of apple slices s on each plate?

Answers

Answer:

Kendra is watching over 5 children. She wants to be sure that they each have an even number of apple slices. There are 35 apple slices total. She wants to take 35 and put it equally into 5 groups.

Your equation would be 5s=35, where s would be the total amount of apple slices on each plate.

To solve this equation you would divide both sides by 5 to get 7. s=7 (35/5=7)

Each quintuplet would be 7 apple slices.

Hope this helps ;)

what decimal is equivalent to negative 3/8

Answers

Answer:

-6/16

Step-by-step explanation:

Step 1:  Find equivalent to -3/8

(-3*2) / (8*2)

-6/16

Answer:  -6/16

Answer:

-0.375

Step-by-step explanation:

If you have a scientific calculator just plug in [tex]-\frac{3}{8}[/tex] then switch it to decimal form

[tex]-\frac{3}{8} = -0.375[/tex]

If you need help going from fraction to decimal form all you need to do is divide -3 by 8 = -0.375

trey has a peanut allergy, so he eats granola bars that are nut-free. a box of nut-free granola bars cost $4.50 after a 10% discount. what is the original price of the box of granola bars

Answers

The original price of the granola bars before the 10% discount was $5.00. To determine this, the given discounted price was divided by 0.90, which represents the price after a 10% reduction.

The original price of a box of nut-free granola bars before the discount can be calculated by reversing the 10% discount process. Since Trey paid $4.50 after the discount, we can represent the original price as x. The discount applied to x would be 0.10 times x (which is how a 10% discount is calculated), and the price after the discount is x minus the discount. So the equation to solve is x - 0.10x = $4.50.

Simplify this equation to find x:
0.90x = $4.50.
Now, divide both sides of the equation by 0.90 to find x:
x = $4.50 / 0.90.
x = $5.00.

Therefore, the original price of the box of granola bars before the 10% discount was $5.00.

Which of the binomials below is a factor of this trinomial?
x2 + 14x+ 40
2 + 10
Β. χ+ 4
C. x-9
D. χ + 14
SUBMIT

Answers

The binomials factor of given is (x + 4) and (x + 10)

Solution:

Given is:

[tex]x^2 + 14x + 40[/tex]

Factor the above polynomial

From given,

[tex]x^2 + 14x + 40[/tex]

[tex]Split\ the\ middle\ term\\\\x^2 + 4x + 10x + 40\\\\Break\:the\:expression\:into\:groups\\\\\left(x^2+4x\right)+\left(10x+40\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+4x\mathrm{:\quad }x\left(x+4\right)\\\\x(x + 4) + (10x + 40)\\\\\mathrm{Factor\:out\:}10\mathrm{\:from\:}10x+40\mathrm{:\quad }10\left(x+4\right)\\\\x(x + 4) + 10(x + 4)\\\\\mathrm{Factor\:out\:common\:term\:}x+4\\\\\left(x+4\right)\left(x+10\right)[/tex]

Thus, the binomials factor of given is (x + 4) and (x + 10)

Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?

Answers

Answer:

C =18.84

Step-by-step explanation:

The circumference is given by

C = pi*d

C = 6pi

If we approximate pi by 3.14

C = 6*3.14

C =18.84

which statement is true for all similar figures PLZZ HELP ME I WILL MARK YOU AS THE BRAINLIST

A they have the same size and shape
B they have the same size but different shapes
C they have corresponding sides that are congruent
D they have corresponding angles that are congruent

Answers

Answer:

C they have corresponding sides that are congruent

Step-by-step explanation:

hope this helps

4 is to 6 as 10 is to what

Answers

Answer:

x = 15

Step-by-step explanation:

Step 1:  Make an expression

4/6 = 10/x

Step 2:  Cross multiply

4/6 = 10/x

4x = 60

Step 3:  Divide both sides by 4

4x / 4 = 60 / 4

x = 15

Answer:  x = 15

Answer:

15

Step-by-step explanation:

4 is to 6 as 10 is to what

Represent the unknown number as x and write as a ratio

4:6 = 10:x

Write as fractions

4/6 = 10/x

Cross-multiply

4x = 60

Divide both sides of the equation by 4

x = 15

15

Hope this helps :)

Is 10xyz^3 a monomial

Answers

Answer:

Yes, 10xyz^3 is a monomial.

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term that can have multiple variables of different degrees within.

A certain forest covers an area of 8.25%. Suppose that each year this area decreases by 4800km^2. What will the area be after 5 years?

Answers

The area after 5 years is 3120.841 square kilometer

Solution:

The decreasing function is given as:

[tex]y = a(1-r)^t[/tex]

Where,

y is future value

a is initial value

r is decreasing rate

t is number of years

From given,

a = 4800

t = 5

[tex]r = 8.25 \% = \frac{8.25}{100} = 0.0825[/tex]

Therefore,

[tex]y = 4800(1 - 0.0825)^5\\\\y = 4800 \times 0.9175^5\\\\y = 4800 \times 0.6501\\\\y = 3120.841[/tex]

Thus the area after 5 years is 3120.841 square kilometer

168 is 70 percent of what number ?

Answers

Answer:

240

Step-by-step explanation:

Multiply 168 by 100 then divide by 70

point (k, -3) lies on the line whose equation is x-2y=-2. What is the value of k?

Answers

Answer:

Substitute, y = -3 and x = k on the equation.

=> k - 2×(-3) = -2

=> k = -2 + (-6)

=> k = - 8

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

HOPE U UNDERSTOODMARK AS BRAINLIEST ONE

Any Doubts? Please COMMENT

The required value of the k is -8 for which the point (-8, -3) line on the equation of the line.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Point (k, -3) lies on the line whose equation is x-2y=-2.
Put x = k and y = -3 in the given equation of the line,

k - 2 (-3) = -2
k = -2 -6
k = -8

Thus, the required value of the k is -8 for which the point (-8, -3) line on the equation of the line.

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what is the P(T,H,T,H) on 4 flips of a coin?

i need help

Answers

Answer:

1/16

Step-by-step explanation:

Each coin flip is an independent event so the probabilities are independent

P(T,H,T,H) = P(T) P(H)  P(T) P(H)

                  = 1/2 * 1/2 * 1/2 * 1/2

                   = 1/16

A hat costs $17.00 and is on sale for 30%. How much will be saved?

Answers

Step-by-step explanation:

70

---- × 17=$11.90(saved)(answer)

100

the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 30 terms

Answers

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × - 27) + (29 × 6) ]

     = 15( - 54 + 174)

     = 15(120)

     = 1800

The sum of the first 30 terms of the arithmetic sequence, is 1800.

In an arithmetic sequence, the sum of the first n terms can be calculated using the formula:

Sum = n/2 × (2a + (n-1)d), where:

n is the number of termsa is the first termd is the common difference

Given:

First term (a) = -27Common difference (d) = 6Number of terms (n) = 30

Plugging in these values, we get:

Sum = 30/2 × (2(-27) + (30-1) × 6)

Calculating step-by-step:

Calculate the first part: 30/2 = 15Calculate inside the parentheses: 2(-27) + (30-1)6 = -54 + 29*629 × 6 = 174-54 + 174 = 120Final calculation: 15 × 120 = 1800

Therefore, the sum of the first 30 terms of the arithmetic sequence is 1800.

(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)


Reflect triangle LMN about the x-axis. Then translate the resulting triangle 2 units up.

What are the coordinates of the vertices of the final image?

A. L’(4, 2), M’(7, 9), and N’(1, 9)
B. L’(4, 4), M’(7, -11), and N’(1, -11)
C. L’(4, 4), M’(7, 11), and N’(1, 11)
D. L’(-4, 4), M’(7, -9), and N’(1, -9)

Answers

Answer:

The answer is C

B is reflection over the y-axis

Step-by-step explanation:

C. L’(4, 4), M’(7, 11), and N’(1, 11) are the coordinates of the vertices of the final image.

B is a reflection over the y-axis

What are the coordinates of the vertices of a cube?

Any point (x, y, z) can consequently be written as a sum of factors at the parallelepiped with one vertex on the origin. on this coordinate gadget, we are able to outline the unit cube with the 8 corner points classified (zero, zero, zero), (1, zero, zero), (1, 1, 0), (0, 1, 0), (zero, zero, 1), (1, 0, 1), (1, 1, 1), and (0, 1, 1).

The coordinates of the vertices of a triangle are (x2,y2) and (x3,y3). the line becoming a member of the primary is divided in the ratio l: okay and the road becoming a member of this point of the department to the opposite angular point is then divided by the ratio m:k + l.

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9) Which is a difference between plant and animal cells? What is 111%of 800 rounded to the nearest hundred Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x distribution is about $48 and the estimated standard deviation is about $7. (a) Consider a random sample of n = 60 customers, each of whom has 10 minutes of unplanned shopping time in a supermarket. From the central limit theorem, what can you say about the probability distribution of x, the average amount spent by these customers due to impulse buying? What are the mean and standard deviation of the x distribution? The sampling distribution of x is approximately normal with mean x = 48 and standard error x = $0.12. The sampling distribution of x is approximately normal with mean x = 48 and standard error x = $7. The sampling distribution of x is not normal. The sampling distribution of x is approximately normal with mean x = 48 and standard error x = $0.90. Is it necessary to make any assumption about the x distribution? Explain your answer. It is necessary to assume that x has an approximately normal distribution. It is not necessary to make any assumption about the x distribution because is large. It is necessary to assume that x has a large distribution. It is not necessary to make any assumption about the x distribution because n is large. (b) What is the probability that x is between $46 and $50? (Round your answer to four decimal places.) 3 (c) Let us assume that x has a distribution that is approximately normal. What is the probability that x is between $46 and $50? (Round your answer to four decimal places.) v=vi+at^2 dimensional correct Why did Justinian I want to reform the law of the Byzantine Empire?A) The code needed to be collected and reorganized.B) The code needed revisions to remove laws regarding slavery.C) The code included ordinances, but they needed to be removed.D) The code did not include imperial decrees, which had to be added. At one instant of time, a car and a truck are traveling side by side in adjacent lanes of a highway. The car has a greater velocity than the truck has. Does the car necessarily have the greater acceleration?Explain A political party is best defined as a(n) _ PLEASE HELP URGENT MY MOM WILL GROUND ME IF I DONT FINISH THIS LOLWhat coordinates on the unit circle are associated with the angle measure?Drag coordinates into each box to match the angle measure. The materials that made up the solar nebula can be categorized into the four general types as follows. Rank these materials from left to right based on their abundance in the solar nebula, from highest to lowest. Which statements are true about portrait orientation? Check all that apply. Height is greater than width. Width is greater than height. More columns are visible than rows. More rows are visible than columns. Two lasers, one red (with wavelength 633.0 nm) and the other green (with wavelength 532.0 nm), are mounted behind a 0.150-mm slit. On the other side of the slit is a white screen. When the red laser is turned on, it creates a diffraction pattern on the screen. The distance y3,red from the center of the pattern to the location of the third diffraction minimum of the red laser is 4.05 cm. How far L is the screen from the slit? Express this distance L in meters to three significant figures. At a convention, there are 8 mathematics instructors, 13 computer science instructors, 4 statistics instructors, and 6 physics instructors. If an instructor is selected, fint the probability of getting a physics or a statistics instructor. The gradual change in an ecosystem in response to environmental change is called succession. From what you have learned, how is Mount St. Helen's an example of succession? Explain. The rectangle shown has a perimeter of 60 inches and a width of 12 inches. What is its length?A.) 12 InchesB.) 18 InchesC.) 36 InchesD.)48 Inches Consider the consequences of a mutation in the DNA template sequence 5'ATG3' to 5'TTG3': What is (a) the resulting change in the mRNA codon and (b) the effect on the corresponding amino acid? The time required for a citizen to complete the 2010 U.S. Census "long" form is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes. The lowest 10 percent of the citizens would need at least how many minutes to complete the form 1. Solve the inequality for xShow each step of the solution16x > 2x - 3 Why is ATP used as an active energy source over glucose? julius caesar was killed because a. the senate believed he wasn't winning enough battles. b. the senate was angry that he had tried to dissolve them. c. the senate believed he wanted to end the republic. d. the senate believed he wanted to end the empire. What did Parliament attempt to do by passing the Tea Act?