A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
What is the xxx-coordinate of the parabola's vertex?

Answers

Answer 1

Answer:

x=6

Step-by-step explanation:

Given the x-intercepts of a parabola: [tex]x_1=3, x_2=9[/tex]

The equation of symmetry at the parabola's vertex is x=h

Where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

In this case,

[tex]h=\dfrac{3+9}{2}=6[/tex]

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.

Answer 2

The vertex of a parabola is the minimum or maximum point of  the parabola.

The x-coordinate of the vertex is 6

The intersection points are given as:

[tex]\mathbf{x_1 = 3,\ x_2 = 9}[/tex]

The x-coordinate of the parabola is calculated as:

[tex]\mathbf{x = \frac{1}{2}(x_1 + x_2)}[/tex]

So, we have:

[tex]\mathbf{x = \frac{1}{2}(3 + 9)}[/tex]

[tex]\mathbf{x = \frac{1}{2}(12)}[/tex]

Simplify

[tex]\mathbf{x = 6}[/tex]

Hence, the x-coordinate of the vertex is 6

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Related Questions

troy can buy bottles of water in packages of 6 for 8.04 or in packages of 4 for 6.16. how much water does he save by buying 48 bottles of water at the better price

Answers

Answer: 4 Tons

Step-by-step explanation:

Simply just add and subtract

At time t is greater than or equal to zero, a cube has volume V(t) and edges of length x(t). If the volume of the cube decreases at a rate proportional to its surface area, which of the following differential equations could describe the rate at which the volume of the cube decreases?

A) dV/dt=-1.2x^2
B) dV/dt=-1.2x^3
C) dV/dt=-1.2x^2(t)
D) dV/dt=-1.2t^2
E) fav/dt=-1.2V^2

Answers

Answer:

C

Step-by-step explanation:

V(t) = [x(t)]³

A(t) = 6[x(t)]²

dV/dt = k × 6[x(t)]²

Where k < 0

From the options,

taking k = -0.2

dV/dt = -1.2[x(t)]²

Final answer:

The correct answer is A) dV/dt=-1.2x^2, which represents a rate of volume decrease directly proportional to the cube's surface area.

Explanation:

The question involves finding a differential equation that describes the rate at which the volume of a cube decreases when the rate is proportional to the cube's surface area. Since the surface area of a cube is 6x(t)^2 and the volume is x(t)^3, the rate of decrease in volume, dV/dt, is proportional to the surface area.

The correct differential equation would show this relationship by having the change in volume be proportional to the square of the edge length, so dV/dt = -kx^2 for some constant k, which means the valid option is A) dV/dt=-1.2x^2.

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Solve the quadratic by factoring.
x^2-5x-31=5

Answers

Final answer:

The quadratic equation x²-5x-31=5 is solved by factoring to (x - 9)(x + 4) = 0, giving the solutions x = 9 and x = -4.

Explanation:

To solve the quadratic equation x²-5x-31=5 by factoring, we first move all terms to one side to get it into standard form:

x² - 5x - 36 = 0

Next, we look for two numbers that multiply to -36 and add up to -5. These numbers are -9 and 4. So, we can write:

(x - 9)(x + 4) = 0

Now, we have two possible solutions for x:

x - 9 = 0, which gives us x = 9x + 4 = 0, which gives us x = -4

Therefore, the solutions to the equation are x = 9 and x = -4.

Bus A and Bus B leave the bus depot at 8 am.
Bus A takes 25 minutes to do its route and bus B takes 35 minutes to complete its route.
At what time are they both back at the bus depot together?
Give your answer as a 12-hour clock time.

Answers

Answer: 10:55

Step-by-step explanation:

Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.

The time the buses will be back at the depot simultaneously will be when:

N(a) * 25mins = N(b) * 35mins

Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.

Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc

Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc

This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.

So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is

at 08:00 + 2:55 = 10:55

in the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?

Answers

Answer:

No

Step-by-step explanation:

If GH is tangent to circle F, then it forms a right angle with FG.  Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

34² + 256² = 288²

66692 = 82944

The sides are not a Pythagorean triple, so GH is not tangent to the circle.

The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width?

Answers

Answer:

x = 3.75 inches

Step-by-step explanation:

We have,

Perimeter of a rectangle, P = 21 inches

Its length is 3 inches greater than its width. Let width is x. So, length of rectangle is l = 3+x

The perimeter of a rectangle is :

[tex]P=2(l+b)[/tex]

l is length and b is breadth

Here, l = 3+x, b = x

Perimeter :

[tex]P=2(3+x+x)\\\\21=2(3+2x)[/tex]

[tex]21=6+4x\\\\15=4x\\\\x=3.75\ \text{inches}[/tex]

So, the width is 3.75 inches.

Final answer:

To find the width of the rectangle, create an equation using the perimeter formula P = 2l + 2w. By substituting the known perimeter and the relationship between length and width, solve for w, resulting in a width of 3.75 inches.

Explanation:

The student is tasked with finding the width of a rectangle when the perimeter is known to be 21 inches and the length is 3 inches greater than the width. To solve this, we set up an equation representing the perimeter of a rectangle: P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Let w represent the width of the rectangle. The length is then w + 3 inches. Substituting these values into the perimeter formula, we get: 21 = 2(w + 3) + 2w. Simplifying this, we get 21 = 2w + 6 + 2w or 21 = 4w + 6. Solving for w, we subtract 6 from both sides to get 15 = 4w, and then divide both sides by 4 to get w = 3.75 inches. This means the width of the rectangle is 3.75 inches.

ILL GIVE YOU BRAINLIEST!! The cost of a medium pizza can be determined by the number of toppings on the pizza.Each toppings adds the same amount to the total cost.
Which table could show the relationship between the number of toppings and the cost of a medium pizza?

Answers

Answer:

b

Step-by-step explanation:

The table could show the relationship between the number of toppings and the cost of a medium pizza is table B.

What is Rate of Change?

We divide the change in y (output) by the change in x to determine the average rate of change (input).

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

In table 1, when the topic goes from 4 to 5 then the price increase by $2 which is not convenient here.

In table 2, when the topic goes from 4 to 5 then the price increase by $1 which is not convenient here.

In table 3, when the topic goes from 4 to 5 then the price increase by $2 which is convenient here.

In table 4, when the topic goes from 4 to 5 then the price increase by $2 which is not convenient here.

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Brian is looking at a statue in Bruso park from 8 meters away. If the distance between the top of the statue to Brian's head is 17 meters, how much taller is the statue than Brian using the Pythagorean theorem?

Answers

Using the Pythagorean theorem the answer would be 15

I really need help solving this problem

Answers

Answer:

108 ft2 is the area of the other rectangle

Step-by-step explanation:

If the first length is 3 and the second one is 6 if you find the width of the first rectangle, it has to be double like the length and 18*6 = 108

Answer:

108

Step-by-step explanation:

the scale is 2x

27/3 = 9

9 x 2 is 18

18 x 6 is 108

25 pts! Math question!!!

Answers

Answer:

6051

Step-by-step explanation:

fo sho

PLS HELP!! Find the value or expression for 0.

1). Sin(0) = cos (28)

2). Cos(y) = sin (0)

Answers

Answer:

1.)angle 0 = 62 degrees,  

2.) angle 0 = 90 - y degrees.

Step-by-step explanation:

1). Sin(0) = cos (28)

angle 0 would be  arcsin (cos (28)) =  62 degrees.

2). Cos(y) = sin (0)

angle 0 = arcsin ( cos (y) ) = 90 - y

Final answer:

To solve the equations involving trigonometric functions Sin(0) = cos(28) and Cos(y) = sin(0), use co-function identities to find 0 equals 62 degrees or (90° - 28°), and y could be 28 degrees or (360° - 28°) due to cosine's periodic nature.

Explanation:

To solve the set of equations Sin(0) = cos (28) and Cos(y) = sin (0), we need to apply trigonometric identities and the given constraints.

Firstly, we can use the co-function identities which state that sin(90° - x) = cos(x), and similarly, cos(90° - x) = sin(x). Therefore, for the first equation, we can express 0 in terms of 28°:

sin(0) = cos(28°) implies 0 = 90° - 28° or 0 = 62°.

For the second equation, we replace 0 with 62°:

cos(y) = sin(62°)

We know that sin(62°) equates to the same value as cos(28°) from the first equation.

Therefore, cos(y) = cos(28°), which means y = 28° or y = 360° - 28° due to the periodic nature of cosine.

n a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast. If a person is selected at random, find the probability that the person preferred juice as his or her primary drink.

Answers

Answer:

[tex]\frac{13}{60}[/tex]

Step-by-step explanation:

18 people preferred MILK

29 preferred COFFEE

13 preferred JUICE

We want probability that a person preferred JUICE. For that, we need number of people who preferred juice and total number of people.

Lets find total:

18 + 29 + 13 = 60 total people

Total people who preferred JUICE is:

13

Probability (preferred JUICE) = 13/60

The answer is  [tex]\frac{13}{60}[/tex]

A cone has a slant length of 5 and a diameter of 4. What is the volume of the cone? Use π ≈ 3.14.
A.12.56 cubic units
B.18.84 cubic units
C.20.93 cubic units
D.25.12 cubic units

Answers

Final answer:

The volume of the cone, calculated using the given slant length and diameter, is approximately 18.84 cubic units, therefore the correct answer is B. 18.84 cubic units.

Explanation:

The subject of this question is the volume of a cone. In order to calculate the volume of a cone, you need to use the formula: V = 1/3πr²h. However, in this case, you are given the slant length and the diameter. First, we need to find the radius (r) and the height (h) of the cone. The radius would be half the diameter, so r = 4/2 = 2. Then, from the given slant length (s) and radius (r), we can find the height by using Pythagoras' theorem: h = sqrt(s² - r²) = sqrt(5² - 2²) = sqrt(21). Now we can substitute r and h into the volume formula: V = 1/3*3.14*2²*sqrt(21) which is approximately 18.84 cubic units. So the answer is option B.18.84 cubic units.

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In January, Mr. Tan's students read 20 books. In February, they read 15 books.
What is the percent increase or decrease in the number of books they read?

Answers

Answer:

25% Decrease

Step-by-step explanation:

15/20 is 75%. 100-75 (since they read less) is 25%

Answer:

25% decrease

Step-by-step explanation:

25% of 20 is 5. Because 0.25*20=5.

And because they read 15 book next month, if was 5 bookks less, which was 25% less.

Very choppy answer. But I hope that helped

It is Marcie's first turn to roll. Which ratio shows the
theoretical probability that she will not land on a star
space?

A.1/6
B.1/3
C.1/2
D.2/3

Answers

Answer:

2/3

Step-by-step explanation:

Answer: the answer is d.2/3 just took the test!!

Step-by-step explanation:

Tyra has 38 counters. She now puts the 38 counters into some bags so that Each bag has an equal number. There are no counters left over. There are more than 10 counters in each bag. Work out the number of bags and number of counters in each bag.

Answers

I mean, you can divide the counters by the range 2 - 38.

I only managed to find out that 38 ÷ 2 = 19.

And 38 ÷ 19 = 2.

It says that there are more than 10 counters in each bag.

So 2 bags is the most liable option.

There are 2 bags and 19 counters in each bag.

Answer:

2 bags, 19 counters.

Step-by-step explanation:

This question is looking for factors of 38 with counters being a factor greater ten and the number of bags being the factor that multiplies the counters to get 38. First, find the factors of 38.

1 x 38 = 38

2 x 19 = 38

Since the problem says bags with an s, we can know that there has to be more than one bag. That leaves us with 2 x 19.

Find the area of the polygon:

Answers

Answer:

Step-by-step explanation:

o find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Mr. Woosley is assigning group projects to 24 students. To form the groups, each student will randomly select a slip of paper with the name of a continent on it from a bag. The student will keep the slip of paper. The number of slips of paper in the bag with each continent name is shown below. Africa - 6 Asia - 8 Australia - 4 Europe - 6 What is the probability that a student in Mr. Woosley’s class will not be assigned a project on Australia?

Answers

The probability that a student will not be assigned a project on Australia is 20/24, which simplifies to 5/6.

The probability that a student in Mr. Woosley's class will not be assigned a project on Australia can be found by subtracting the probability of being assigned Australia from 1. There are a total of 24 slips of paper representing continents, and 4 of these are Australia. Therefore, there are 24 - 4 = 20 slips that are not Australia.

The probability, P(NOT Australia), is calculated as follows

Calculate the total number of slips: 6 (Africa) + 8 (Asia) + 4 (Australia) + 6 (Europe) = 24.

Determine the number of slips that are not Australia: 24 - 4 (Australia) = 20.

Find the probability: P(NOT Australia) = Number of non-Australia slips / Total number of slips = 20 / 24.

Therefore, the probability that a student will not be assigned a project on Australia is 20/24 or 5/6 when simplified.

A fruit is selected at random from a basket containing 6 bananas, 2 papayas, and 7 mangoes. what is the probability of selecting a banana

Answers

Answer:

2/5

Step-by-step explanation:

6+7+2=15

6 out of the 15 are bananas

you can simply and reduce this fraction from 6/15 to 2/5

What is the magnetic force on a proton that is moving at 2.5 x 10 m/s to the
left through a magnetic field that is 3.4 T and pointing toward you? The
charge on a proton is 1.6 10-19 c. Use F-qvx B sin(o).

Answers

Answer:C. 1.4 10-11 N up

step-by-step explanation:

Explanation:

The magnetic force, F on a charge q moving with velocity v in a magnetic field B at an angle θ is given by:

F = q v B sin θ

Charge of proton, q = 1.6 × 10⁻¹⁹ C

Strength of magnetic field, B = 3.4 T pointing outwards

velocity of the proton, v = 2.5 × 10⁷ m/s towards left

Magnetic force is given by:

F =  1.6 × 10⁻¹⁹ C× 2.5 × 10⁷ m/s ×3.4 T× sin 90 = 13.6 × 10⁻¹² N = 1.4 × 10⁻¹¹ N up

The direction of the force is given by Lorentz Right hand rule. The fingers point magnetic field, the thumb points towards velocity, then the force on the proton is given by the direction perpendicular to the palm.  

The magnetic field acts outwards with velocity of the proton towards left. The force would act perpendicular to the two -upwards.

The magnetic force on the proton, moving to the left at 2.5 x [tex]10^6[/tex] m/s in a 3.4 Tesla magnetic field directed toward you, is approximately 1.36 x [tex]10^{-12}[/tex] Newtons.

To calculate the magnetic force acting on the proton in this scenario, we'll use the formula F = q × v × B × sin(θ), where:

F is the magnetic force,

q is the charge of the proton (1.6 x [tex]10^{-19}[/tex] C),

v is the velocity of the proton (2.5 x [tex]10^6[/tex] m/s),

B is the magnetic field strength (3.4 Tesla), and

θ is the angle between the proton's velocity vector and the direction of the magnetic field.

In this case, since the proton is moving to the left and the magnetic field is directed toward you, the angle θ is 90 degrees because they are perpendicular to each other.

Now, plug the values into the formula:

F = (1.6 x  C) × (2.5 x [tex]10^6[/tex] m/s) × (3.4 Tesla) × sin(90°)

sin(90°) is equal to 1, so:

F = (1.6 x [tex]10^{-19}[/tex] C) × (2.5 x [tex]10^6[/tex] m/s) × (3.4 Tesla) × 1

F ≈ 1.36 x [tex]10^{-12}[/tex] N

So, the magnetic force acting on the proton is approximately 1.36 x [tex]10^{-12}[/tex] Newtons. This force causes the proton to experience a curved path due to the interaction between its velocity and the magnetic field.

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Complete question below:

"What is the magnetic force acting on a proton moving at a velocity of 2.5 x [tex]10^6[/tex] m/s to the left when it enters a magnetic field with a strength of 3.4 Tesla, directed toward you? The charge of a proton is 1.6 x [tex]10^{-19}[/tex] C. Calculate the magnetic force using the formula F = q × v × B × sin(θ)."

An advertisement about the paint that you want to use reads: “Just 2 quarts covers 175 square feet!” If you need to apply two coats of paint on all the walls, how many quarts of paint do you need to buy?

Answers

Final answer:

To apply two coats of paint on all the walls, you will need to buy 4 quarts of paint.

Explanation:

To find out how many quarts of paint you need to buy to apply two coats of paint on all the walls, we need to calculate the total area that needs to be painted.

If 2 quarts cover 175 square feet, then 1 quart covers 175/2 = 87.5 square feet.

Since you need to apply two coats of paint, the total area that needs to be painted is 175 square feet x 2 = 350 square feet.

To find out how many quarts you need, divide the total area by the area covered by 1 quart: 350 square feet / 87.5 square feet/quart = 4 quarts.

You will need to buy 4 quarts of paint to complete the job.

Q(x)=6x and r(x)=5x+1
Find (r•q)(x)

Answers

Answer:

(r * g)(x) =30xx + 6x

if it was composition

r (q(x)) =  5(6x) + 1 = 30x + 1

Step-by-step explanation:

Q(x)=6x and r(x)=5x+1

Find (r•q)(x)

multiplying the functions, right?  not composition of functions.

(r * g)(x ) =   (5x + 1) * 6x =   30xx + 6x

(r * g)(x) =30xx + 6x

if it was composition

r (q(x)) =  5(6x) + 1 = 30x + 1

HELP! What is the value of X? WILL GIVE BRAINLIEST!

Answers

Answer:The value of X is 7.

Step-by-step explanation: It's counting up starting at 3 so the 4..5..6..7 so, then the 6 is right one the invisible line with X

Answer:

x =2

Step-by-step explanation:

Similar triangles:-

The given triangles are same shape but not necessarily the same sizeCorresponding angles are equalCorresponding sides are in the same ratio   [tex]\frac{a}{p} = \frac{b}{q} = \frac{c}{r}[/tex]

   Given diagram ΔABC  AND ΔDBE are similar triangles.

    [tex]\frac{BC}{BE} = \frac{AB}{BD}[/tex]

  [tex]\frac{x+x+1}{x+1} = \frac{6+4}{6}[/tex]

on simplification , we get

[tex]\frac{2x+1}{x+1} = \frac{6+4}{6}[/tex]

cross multiplication , we get

12x+6 =10x +10

12x-10x = 10 -6

 2x =4

  x =2

Therefore the value of x =2

verification:-

[tex]\frac{BC}{BE} = \frac{AB}{BD}[/tex]

[tex]\frac{2x+1}{x+1} = \frac{6+4}{6}[/tex]

put x=2

[tex]\frac{2(2)+1}{2+1} = \frac{6+4}{6}[/tex]

[tex]\frac{5}{3} = \frac{6+4}{6}[/tex]

[tex]\frac{5}{3} = \frac{5}{3}[/tex]

both sides are equal

Therefore x value is 2

A large candy bar was 120 calories. The
smaller candy bar has 16 percent less
calories. How many calories does the
smaller candy bar have?

Answers

The smaller chocolate bar has 100.8 calories. To find this multiply 120*0.16 to find the “16 percent less” which equals 19.2 less calories. Then subtract 19.2 from 120 to get 100.8

Hope this helps!
Answer: 119
The candy bar has 119 calories

In the game of​ roulette, a player can place a ​$4 bet on the number 23 and have a StartFraction 1 Over 38 EndFraction probability of winning. If the metal ball lands on 23​, the player gets to keep the ​$4 paid to play the game and the player is awarded an additional ​$140. ​ Otherwise, the player is awarded nothing and the casino takes the​ player's ​$4. What is the expected value of the game to the​ player? If you played the game 1000​ times, how much would you expect to​ lose?

Answers

Answer:

a.The expected value of the game to the player is -$0.2105

b. The player should expect to lose $210.50¢ if he/she places the bet or plays the game 1,000 times

Step-by-step explanation:

Please kindly check the attached files for explanation.

What is a 3-dimensional shape made of two identical circles connected by a rectangle

Answers

Answer:

cylinder

Step-by-step explanation:

What’s an exponential equation

Answers

Answer:

An exponential equation is when we let the the independent variable become the exponent.

Gretchen and her friend Hayley bought three bags of apples and three bunches of bananas from the fruit vendor. Gretchen and Hayley want to find the total number of pieces of fruit that they bought. Gretchen thinks she should multiply 3 by the number of apples in each bag, x, and add it to 3 times the number of bananas in each bunch, y, to find the total number of pieces of fruit. Hayley thinks Gretchen should add the number of apples in each bag, x, to the number of bananas in each bunch, y, and then multiply that sum by 3.

Answers

The total number of pieces of fruit that they bought should be 72.

The calculation is as follows:

Here we assume 3 bags of apples with 4 apples in each bag  [tex](3 \times 4 = 12)[/tex]

And, 3 bunches of bananas with 4 bananas in each bunch  [tex](3 \times 4 = 12)[/tex]

Now  

= 12 + 12

= 24 pieces of fruit

Since

4 + 4 + 4  (12)  apples   +   4 = 4 + 4  (12)  bananas

So,

= 12 + 12

= 24  

here we need to multiplied by 3

So,  [tex]= 24 \times 3[/tex]

= 72

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on the number line which point is closest to pie

Answers

Final answer:

The point on a number line that is closest to Pi (π), which is approximately 3.14, would be the point representing either 3 or 4 as they are the closest whole numbers. However, a point representing 3.14 or a closer approximation would be even nearer.

Explanation:

The question is asking to identify which point on a number line is closest to Pi (π), a mathematical constant that approximately equals 3.14. On a number line, you can visualize numbers as points. As Pi is 3.14 approximately, the closest point to Pi on a number line would naturally be the point that represents 3 or the point representing 4, as these are the two closest whole numbers to 3.14. However, if there's a point representing the value 3.14, or even closer approximation like 3.141, it would be even closer to Pi than the points representing 3 or 4.

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What is the name of segment AC in the picture? chord, radius, diameter, or circumference

Answers

Based on the circle shown above, the name of segment AC include the following: C. diameter.

In Mathematics and Euclidean Geometry, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point.

Generally speaking, the diameter of a circle simply refers to a straight line that passes through the middle (center) to the other end of the circle, thereby, measuring the distance from one end point to another.

This ultimately implies that, the diameter of a circle is double the length of the radius of a circle;

Diameter = 2 × radius

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Classical conditioning Young women who belonged to the 1960s counterculture movement often Infectious agents could be organisms or viruses. You observe a case of conjunctivitis. Thisillness could be caused by an organism (Chlamydia trachomatis) or by Adenovirus.Both of these etiologic agents are obligate intracellular pathogens. Explain why one is a virus the other one is not by applying the criteria suggested by AndreLwof . Discuss how the two pathogens differ at each point covered in le When the tasks and authority associated with various positions in the organization are clearly specified, it creates a scenario where: a) employees can be held strictly accountable for their actions. b) managers face difficulty in tracking the assigned tasks. c) order and discipline are undermined. d) confused employees create havoc within the formal hierarchy of authority. e) employees are not sure of what is expected of them. The amount of Jen's monthly phone bill is normally distributed with a mean of $59 and a standard deviation of $10. What percentage of her phone bills are between $29 and $89? Help me asap ok thanks The __________ argues that womens crime originates in patriarchy (male domination over females). This approach focuses on social forces that shape womens lives and experiences and shows how exploitation may trigger deviant behavior and criminal activities. NEED RN 20 POINTS The variables in the first part of this experiment include the presence of moisture and earthworm behavior. Use thedrop-down menus to identify the independent and dependent variables.The presence of moisture is theThe earthworm behavior is thevariable.W variable. How many active volcanoes are there in Nicaragua? Which of the following statements is not accurately describing a T Cell?A) T-Cells mature in the thymusB) T-Cells can contact any cell in the body that is presenting an antigenC) T-Cells only make antibodies when they are in contact with B-CellsD) T-Cells must make contact with the surface of another cell to be fully activated Write a letter to one of these schools asking for more information about their public health or veterinary program. What would you like to know about what these schools teach? Question 1(Multiple Choice Worth 4 points)The steps in the formation of metamorphic rocks are listed below in an incorrect order.1. Rock is buried deep under earth's surface.2. Rock is subjected to high temperature and pressure.3. Rocks with new properties are created.4. Rock changes in particle arrangement and structure.Which of these best shows the correct order of steps in the formation of metamorphic rocks? 1, 2, 4, 32, 1, 3 ,43 ,1 ,4,24 ,2 ,3 ,1 What effect does knowing the true background of the photo have on the reader? Check all that apply.A It makes the reader consider the idea that the media doesnt always tell the true story. B It makes the reader understand that telling the truth is a good way to persuade. C It shows the reader that when it comes to persuasive media, you cant always trust what you see.D It shows that lying is the only way to successfully persuade. E It helps the reader feel better knowing that the woman in the photo wasnt actually worried Geoff hesitated as he read the fast food menu, unsure whether he should supersize his order of delicious golden French fries. Doing so would increase his cost from $0.99 to $1.59 and just might provide him the nutrition he needed to make it through the second half of his day at the office. Of course, if he finished his hamburger and the usual amount of fries, he would simply throw the extra ones away. However, if he failed to supersize his order, he would have to take a candy bar break mid-afternoon and they weren't exactly giving them away in the break room vending machines. He would likely need two candy bars, which sold for $0.95 each. What is Geoff's target service level Name the following compound: CH3 ICH = CH2 - CH3 I CH2 ICH - CH3 ICH2 ICH ICH32-ethyl-4-methylheptane 2-ethyl-4-methylheptene 3-methyl-5-propyl-2-hexene 3,5-dimethyl-2-octene Which statement describes a reaction at equilibrium?1. The mass of the products must equal the mass of the reactants2. The entropy of the reactants must equal the entropy of the products3. The rate of formation of the products must equal the rate of formation of the reactants.4. The number of moles of the reactants must equal the number of moles of the products. Due: Thursday at 11:00 PM6.At the beginning of class, Mrs. Smith asked each of her 25 students to write his/her name on an index card and placeit in a closed container. Mrs. Smith draws a card in the morning and replaces it and repeats the process at the end ofthe day. What is the probability that the same student will have his/her name drawn both times in the same day? Write three to five sentences analyzing how one of the folktales builds suspense. You may choose either tale.