The long hand of the clock is about 5 inches long. How far does the end of the long hand of the clock travel in 2 1/2 hours?​

Answers

Answer 1

The end of the long hand of the clock travels about 78.54 inches (25π) in 2 1/2 hours.

What is clock ?

Clock can be defined as a machine in which a device that performs regular movements in equal intervals of time is linked to a counting mechanism that records the number of movements

The long hand of the clock completes one full revolution in 12 hours. Therefore, in one hour, it travels a distance equal to the circumference of a circle with a radius of 5 inches, which is given by 2πr = 2π(5) = 10π inches.

In 2 1/2 hours, the long hand of the clock travels a distance equal to (2 1/2) x 10π = 25π inches.

So, the end of the long hand of the clock travels about 78.54 inches (25π) in 2 1/2 hours.

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Related Questions

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answers

This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

The independent variable of interest in an ANOVA procedure is called a Select one: O a. partition. O b. treatment. Oc. response. d. factor.

Answers

The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

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2+2x+x2 but x=5 need help

Answers

Answer:

22

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

because i said so 2+2+2=6 and x=5 but two x=10

negative 3 and 4 over 5 minus 5 and 2 over 3.

Answers

Answer:

-6.53333333333 (-6.53)

Step-by-step explanation:

Hope this helps! <3

A bacterial culture grows with a constant relative growth rate. After 2 hours there are 400 bacteria, and after 8 hours the count is 50,000 . (a) Find the initlal population. P(0)= bacteria (b) Find an expression for the population after t hours. P(t)= (c) Find the number of cells after 3 hours. (Round your answer to the nearest integer.) P(3)= bacteria  (d) Find the rote of growth (in bacteria/hour) after 3 hours. (Round your answer to the nearest integer.) rho′(3)= bacteriafhour (e) After how many hours will the population reach 200,000 ? (Round your answer to one decimal place.) t= ____ hours

Answers

The initial population is 50 bacteria. The expression for the population after t hours is P(t) = 50 * e^(2 * ln(80)) * t. The number of cells after 3 hours is 16,000. The rate of growth after 3 hours is 12,000 bacteria/hour. The population will reach 200,000 after 10.3 hours.

Let P(t) be the number of bacteria after t hours. We know that P(2) = 400 and P(8) = 50,000. We can use these two equations to find the initial population P(0) and the constant relative growth rate k.

P(0) * e^(2k) = 400

P(0) * e^(8k) = 50,000

Dividing these two equations, we get:

e^(6k) = 125

e^k = 5

Therefore, P(0) = 50 and k = ln(5).

The expression for the population after t hours is:

P(t) = P(0) * e^(kt) = 50 * e^(ln(5) * t) = 50 * e^(2 * ln(80)) * t

The number of cells after 3 hours is:

P(3) = 50 * e^(2 * ln(80)) * 3 = 16,000

The rate of growth after 3 hours is:

rho'(3) = P'(3) = 50 * e^(2 * ln(80)) * 2 * ln(80) = 12,000

The population will reach 200,000 after:

t = ln(200,000) / (2 * ln(80)) = 10.3 hours

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determine the value of k if g(x) =4x+k is a tangent to f(x)= -x² +8x +20​

Answers

Answer:

22

Step-by-step explanation:

222

The value of k in the given functions is; 24

What is the value of the function to the tangent?

We are given the functions;

g(x) = 4x  + k as a tangent to f(x) = -x² +8x +20

For f(x) = -x² +8x +20

=> f'(x)  = -2x + 8

Thus, slope of tangent at ( x , y) = -2x + 8  

For g(x) = 4x  + k

g'(x) = 4.

Thus, slope is 4

Therefore;

-2x  + 8 = 4

-2x = -4

x = 2

Putting 2 for x in f(x) gives;

f(2) = -2² + 8(2) + 20  

f(2) =  32

Thus, it is at (2 , 32)

Thus, (2 , 32) lies on g(x) = 4x + k

4(2) + k = 32

k = 32 - 8

k = 24

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1. (From the textbook, 5.1(a)). Does the following production function exhibit constant returns to scale? Y
t

=A[αK
t
v
v−1



+(1−α)N
t
v
v−1



]
v−1
v

Answers

The production function Yt =A[αK tv v−1+(1−α)N tv v−1] v−1v does not exhibit constant returns to scale.

What is constant returns to scale?

The concept of constant returns to scale is a property of production functions. It refers to a situation in which an increase in inputs such as labor, capital, or both results in a proportionate rise in output.

How to determine whether a production function has constant returns to scale?

The production function Y = f(K, N) exhibits constant returns to scale if, for all values of K and N, there is a scalar λ such that Y(λK, λN) = λY(K, N)

If this condition holds, then we can say that the production function exhibits constant returns to scale.

Does the production function Yt =A[αK tv v−1+(1−α)N tv v−1] v−1v exhibit constant returns to scale?

Let us determine whether the production function

Yt =A[αK tv v−1+(1−α)N tv v−1] v−1v

exhibits constant returns to scale using the definition above.

Y(λK, λN) = A[α(λK) v (v−1) + (1−α)(λN) v (v−1)] v−1vY(λK, λN)

Y(λK, λN) = A[λvαK v (v−1) + λv(1−α)N v (v−1)] v−1vY(λK, λN)

Y(λK, λN) = A[λvαK v (v−1)v−1v + λv(1−α)N v (v−1)v−1v]Y(λK, λN)

Y(λK, λN) = λvA[αK v−1 + (1−α)N v−1] v

Since λ appears outside the bracket, the production function does not satisfy the condition of constant returns to scale because λ is not eliminated on both sides of the equation.

Therefore, we can conclude that the production function Yt =A[αK tv v−1+(1−α)N tv v−1] v−1v does not exhibit constant returns to scale.

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Rename 1 foot with an equivelint fraction in yards

Answers

Renaming 1 foot to equivalent fraction in yards as  1/3 yards

We multiply the number of feet by 1/3 to convert this to yards, and then we need to identify the two elements of this equation that have a functional relationship.

As we are aware,

1 foot equals 3 yards.

As a result, we must multiply the unknown numbers, denoted by the letter x, by 1/3 in order to get the feet.

Let's say that the variables in this situation are x and y, where x stands for feet and y for yards.

To get the unit in yards, multiply the unit in feet by a factor of three-quarters. x = 1/3y

Hence, the renaming of 1 feet as 1/3 yards, where the fraction is 1/3.

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Triangle help, geometry!

Triangle help, geometry!

Answers

Answer:

equallaterial acute

Step-by-step explanation:

Equilateral acute because all 3 angels are equal but are less than 90 therefore it’s acute

A softball field is a square with sides of length 60 feet. What is the shortest distance between first base and third base? a. B. 60 ft. C. D.

Answers

By finding the diagonal we know that the shortest distance between the 1st base and the 3rd base of the given square field is 85ft.

What is a diagonal?

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge.

Any sloping line is known as a diagonal informally.

A line segment that connects two polygonal vertices that are not previously connected by a polygonal edge is referred to as a diagonal in a more generic sense.

So, we have a square field of 60ft.

Square Diagonal formula: d = √2 a

Where d is diagonal and a is side.

Now, insert the values and calculate as follows:

d = √2*a

d = √2*60

d = 84.85281

Rounding off: 85ft

Therefore, by finding the diagonal we know that the shortest distance between the 1st base and the 3rd base of the given square field is 85ft.

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Answer:    D. √7200 ft.

Step-by-step explanation:

PROOF ON TEST

A softball field is a square with sides of length 60 feet. What is the shortest distance between first
A softball field is a square with sides of length 60 feet. What is the shortest distance between first

Please help I will give brainliest.

Please help I will give brainliest.

Answers

Answer:

3 Rd one

Step-by-step explanation:

donee....!!✓give me the branliest

Consider the exponential function with equation A = P(1+r)t

a. Name the independent and dependent variables.

b. What is the growth factor?

Answers

The given exponential function equation is A = P(1+r)t, where P represents the principal amount, A represents the final amount, r represents the annual interest rate, and t represents the time in years.a.

The independent variable is t (time in years) while the dependent variable is A (final amount).b. The growth factor can be obtained by dividing A by P. Therefore, Growth factor = A/PLet us assume P=100, r=20%, and t=1. Then we can find A as follows:A = P(1+r)tA = 100(1+0.2)1A = 100(1.2)A = 120Therefore, the growth factor is:A/P = 120/100 = 1.2If we assume P=150, r=5%, and t=2, thenA = P(1+r)t = 150(1+0.05)2= 150(1.1025)= 165.375The growth factor is:A/P = 165.375/150 = 1.1025

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This past sunday, the Giants scored 9 points less than twice the cowboys. The packers scored 14 more points than the Giants. If the teams scored 81 total points, find the number of points scored by the Packers. Plsss

Answers

Answer:

39 Points

Step-by-step explanation:

Giants = G

Cowboys = C

Packers = P

Packers scored 39 points

17 * 2 = 34

34 - 9 = 25

25 + 14 = 39

Your welcome!

Kayden Kohl

8th Grade

x
+
5
y
=
20
x
+
3
y
=
14

Answers

Answer:

x = 28/97

y = 532/

Step-by-step explanation:

x + 5y = 20x + 3y

=> 5y - 3y = 20x - x

=> 2y = 19x

=> y = (19x)/2

x + 5y = 14

=> x + 5((19x)/2) = 14

=> x + (95x)/2 = 14

=> (2x + 95x)/2 = 14

=> 97x = 14(2)

=> 97x = 28

=> x = 28/97

=>y = (19x)/2 = (19(28))/(97(2)) = 532/194

A patient's temperature fell 2°. Later, it fell again by 2º and again after that it fell another 2°. Which expression most accurately describes the change in the patient's temperature?

A patient's temperature fell 2. Later, it fell again by 2 and again after that it fell another 2. Which

Answers

The expression that most accurately describes the change in the patient's temperature is -2° (3).

Option 3 is the correct answer.

We have,

The expression that most accurately describes the change in the patient's temperature would be:

-2° + (-2°) + (-2°)

This expression represents the successive temperature drops of 2° each time.

By adding the negative values, we account for the decrease in temperature.

This can be written as,

= -2° x 3

= -2° (3)

Thus,

The expression that most accurately describes the change in the patient's temperature is -2° (3).

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if f and g are continuous functions of t on the interval I, then the set of ordered pairs (f(t), g(t)) represent a parametric equation: *x= f(t) and y= g(t) are parametric equations *t is the parameter, I is the parameter interval

Answers

The set of ordered pairs (f(t), g(t)) represents a parametric equation where x = f(t) and y = g(t) are the parametric equations and t is the parameter. The interval I represents the parameter interval, within which the parameter t can vary.

In mathematics, parametric equations are a way to represent curves or surfaces by expressing the coordinates of points in terms of one or more parameters. In the context of a plane, a parametric equation consists of two functions, typically denoted as x = f(t) and y = g(t), where t is the parameter and f(t) and g(t) are continuous functions defined on a given interval, I.

By varying the parameter t within the interval I, we can generate a set of ordered pairs (x, y) that correspond to points on the curve or surface defined by the parametric equations. Each value of t determines a specific point (x, y) on the curve, allowing us to trace out the entire shape.

The interval I represents the range of values for the parameter t. It determines the extent over which the curve or surface is defined. By choosing different intervals for t, we can control the portion of the curve or surface that is represented by the parametric equations.

Overall, parametric equations provide a flexible and powerful way to describe curves and surfaces, allowing for a wide range of shapes to be represented and analyzed in mathematics and other fields.

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If JRM, which of the following statements are true?
Check all that apply.
A. JK and I do not lie in the same plane.
B. JK and
do not intersect.
C. JK and I are parallel.
D. JK and M are skew.
E. JK and LM lie in the same plane.
F. JK and LM are perpendicular.

Answers

If JK║LM, all of the statements that are true include the following:

A. JK and LM do not intersect.

B. JK and LM are parallel.

D. JK and LM lie in the same plane.

What are parallel lines?

In Mathematics and Geometry, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Based on the information provided about line segment JK and line segment LM, we can reasonably infer and logically deduce the following true statements:

Line segment JK and line segment LM would never intersect.Line segment JK and line segment LM are parallel lines.Line segment JK and line segment LM are not skewed.Line segment JK and line segment LM are not perpendicular.Line segment JK and line segment LM would both lie in the same plane.

In conclusion, line segments JK and LM are both parallel lines.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

If JRM, which of the following statements are true?Check all that apply.A. JK and I do not lie in the

Jean took out a 5- year car loan of Rs 600 000.
He paid back a total of Rs 840 000.
What simple interest rate did he pay for this load?

Answers

interest= 840000-600000= 240000

P= 600000

R=?

t= 5 yrs

I = prt

240000 = 600000 × r × 5

r= 240000/600000×5

r = 0.08

interest rate = 0.08× 100 = 8%

WHAT VALUES(S) OF X WILL MAKE X^2=81 TRUE

A. 9

B. 9 AND -9

C. 40.5 AND -40.5

D.3

Answers

Answer:

The answer is A

Step-by-step explanation:

nrnfnchjcksjfngncjkd

Answer:

the answer is 9 and -9

Step-by-step explanation:

Heres a screenshot if you ask why?

WHAT VALUES(S) OF X WILL MAKE X^2=81 TRUEA. 9B. 9 AND -9C. 40.5 AND -40.5D.3

carmen ha visto la television durante cada dia de la semana pasada y se registraron los siguientes numeros de horas 3,2,3,3,2,6 y 3 en promedio ¿cuantas horas al dia esta Carmen frente al televisor?

Answers

Hola I speak English so I can’t help you sorry

Let f(x) = x2 – 4, x < 0. What is f-1?

Answers

the inverse of the function f(x) = x^2 - 4, x < 0, is f^-1(x) = -√(x + 4), x < 4.

To find the inverse of a function, we need to swap the input and output variables and then solve for the output variable.

Let y = f(x) = x^2 - 4, x < 0.

Swapping the input and output variables, we get x = y^2 - 4, y < 0.

Solving for y, we add 4 to both sides and take the square root:

x + 4 = y^2

y = ±√(x + 4)

Since the domain of the original function is x < 0, the range of the inverse function is y < 0. Therefore, we take the negative square root:

f^-1(x) = -√(x + 4), x < 4.

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solve by completing the square 2=x²-10x​

Answers

Answer:

-4.5=x

Step-by-step explanation:

(i think)

PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST​

PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

9.7

Step-by-step explanation:

sqrt(12^2-7^2) = sqrt(95) or 9.7

April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest.
What was the annual interest rate?

Answers

Answer:

1800

Step-by-step explanation:

600*5*60/100=1800

(Credit Scores LC)
A borrower has a credit score of 569. Which of the listed action(s) will help the borrower improve their credit score?
1. Paying bills on time
II. Applying for another credit card
III. Contacting a debt relief agency
IV. Raising the credit limit
Oll
OI, IV
O II, III
O III

Answers

Based on the information, it can be inferred that the actions that would help this person raise their credit score are: I. Paying bills on time and IV. Raising the credit limit.

What is the credit score?

The credit score is an index that each person has to classify themselves according to their credit history. This involves purchases, sales, investments, assets, liabilities, debts, among other economic movements that a person makes.

The more score a person has, the more reliable they are for financial entities such as banks to lend them money. Therefore, a person who wants a loan must increase her credit score by having a reliable behavior, these actions would be:

I. Paying bills on time

IV. Raising the credit limit

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What i an equation of the line that i parallel to y= - 5x 6 and pae through the point (-4, -1)?

Answers

The equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1) is y = -5x-21.

How do you find slope through given points?Given the coordinates of two points on the line, use the slope formula to get the slope of the line. The slope formula, or the ratio of the change in the y values to the change in the x values, is m=(y2-y1)/(x2-x1). The initial point's coordinates are x1 and y1, respectively. The second points' coordinates are x2, y2.The slope formula rise/run is all that is required to determine slope between two places. With various forms of accessible information about the line, there are many formulas to determine the slope. When two points on the line are known, the formula for finding the slope from two points is particularly utilized.

Given data :

Here, given equation of line is y = -5x+6

Required line is parallel to this given line, so we can say that the slope is same for the lines.

General equation of a line be y = mx+c ,  where m is the slope

Comparing given equation with this equation we get,

m = -5

The required line also passes through the point (-4, -1)

Now, we know that,

m = (y2-y1)/(x2-x1).

⇒ -5 = (-1 - Y ) / ( -4 - x )

⇒ -5 = y + 1 / x + 1

⇒ y+1 = -5x-20

⇒ y = -5x-21

Hence the equation proved.

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Faind the volume of the following Traignular Pyramid. Round to the nearest whole number

Faind the volume of the following Traignular Pyramid. Round to the nearest whole number

Answers

Answer:

V = 317 1/3 cubic units

Step-by-step explanation:

V = 1/3 · Area of Base · Height

V = 1/3 · 1/2(14 x 8) · 17

V = 1/3 · 56 · 17

V = 317 1/3

What is the y intercept

What is the y intercept

Answers

The correct answer is 0.

Find the with of a rectangular prism length 7, height 5 1/5, and volume 109 1/5.

Answers

The width of the rectangular prism will be 3 units.

Given that:

Length, L = 7 units

Height, H = 5 ¹/₅ units

Volume, V = 109 ¹/₅ cubic units

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

Then the width of the prism is calculated as,

109 ¹/₅ = 7 x W x 5 ¹/₅

W = 3 units

The width of the rectangular prism will be 3 units.

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The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 9 months. Find the probability that a random sample of 31 smoke detectors will have a mean lifetime between 57 and 62 months. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answer to four decimal places and intermediate : value calculations to two decimal places. P (57 < X < 62) = ___

Answers

Answer:

Step-by-step explanation:

credits to numerade

The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the
Other Questions
A triangle has sides with lengths of 7 inches, 14 inches, and 16 inches. Is it a right triangle? A charge, q1 = +4. 00 MC, is at the origin, and a second charge, 92 =-6. 00 MC, is on the x-axis 0. 300 m from the origin. Find the electric field at a point "+P" on the y-axis 0. 800 m from the origin. What is the net force on "p" (magnitude and direction) which one of the following molecules has the highest boiling point? you will explain why in the next question. responses 3-methoxy-1-propanol 3-methoxy-1-propanol 1,2-dimethoxyethane 1,2-dimethoxyethane 1,4-butanediol 1,4-butanediol 1,1-dimethoxyethane 1,1-dimethoxyethane 2-methoxy-1-propanol he New England, Middle, and Southern ColoniesQuestion 6 of 10The first English colony in the Americas, Jamestown, expanded to becomewhich colony?A. VirginiaOB. GeorgiaC. MarylandOD. Carolina The History of ChopsticksThe Article primarily discusses __________.A.how people can expedite cooking times, including by cooking food in bite-sized piecesB.how chopsticks evolved from being meal preparation tools to dinner table mainstaysC.how an ancient Chinese philosopher encouraged nonviolence by using chopsticksD.how silver can become tarnished through the preparation of foods that emit hydrogen sulfideMillions of people eat noodles, rice, and many other traditional Asian foods with chopsticks. And there's a reason for thata few reasons, actually.Historians say that chopsticks were invented around 5,000 years ago in China. But they weren't originally used as eating utensils. Early versions, likely made of twigs, were used for cooking. If they were long enough, they were great for stirring food in large pots.Over time, the simple twig chopstick evolved into something a little scientifically useful. Or so it was thought. During China's Tang Dynasty (618907 CE), silver chopsticks were sometimes used in the kitchen. People believed the silver would turn black if the food was poisoned. That wasn't actually true. Silver doesn't react to poisons such as arsenic or cyanide. But the silver chopsticks could change color based on the type of food that was being prepared. If the chef cooked a dish with garlic, onions, or rotten eggs, for example, then silver chopsticks would turn black. That's because those foods emit hydrogen sulfide, a gas that tarnishes silver. It's safe to say that at the time, an innocent meal could cause some panic!Chopsticks were used only for preparing food until about 400 CE. That's when it became common to cook food in smaller pieces. This new method expedited cooking time, which helped people save on fuel. Bite-sized food was also easy for diners to pick up with chopsticks. They didn't really need knives at the table anymore.Around this time, Confucius (551 BCE479 BCE), an ancient Chinese philosopher and devoted vegetarian, became a supporter of eating with chopsticks. He implored people not to use knives at the dinner table because he preached nonviolence. Confucius worried that the sight of knives on the table would invoke ideas about violence. His followers associated chopsticks with peace. As Confucius's teachings spread across China and other parts of Asia, more people began to reject knives in favor of bite-sized food and chopsticks. The trend carries on to the present day.Today, chopsticks are widely used, and they've become more than just a dinner table mainstay. Sometimes people adorn their hair with chopsticks to make a fashion statement. In China, people often collect finely painted chopsticks or give them away as gifts. In fact, chopsticks are a customary Chinese wedding present for a newly married couple to wish them happiness and hope that they'll never part from each other.There's a lot of history behind those two sticks.The Article primarily discusses __________. currently, with many climatic classification schemes which have been devised, scholars generally recognize that there are basic climate types on earth. (4pts) question 2 - currently, with many climatic classification schemes which have been devised, scholars generally recognize that there are basic climate types on earth. 5 20 0 10 infinitely manya.0b.5c.10d.20 using the unit normal table, find the proportion under the standard normal curve that lies between the following values. (hint: draw a picture.) do not round your answer. (a) the mean and z match the protist with the way it moves.parameciumamoebaplasmodiumspirogyra Because of their significant influence in Texas, particularly in the primary elections, Republican candidates must pay close attention to the issues that are important to which subset of voters? African Americans evangelical Christians environmental voters Catholics suppose physical output produced by economy falls, yet higher prices give rise to an increase in measured GDP. In this case we can say that ________ GDP is higher and ____________ is lower find angular displacement in terms of final angular velocity, angular acceleration, and time Using your knowledge of world history, which of the following statements BEST compares the two sources?A. Both sourced demonstrate consequences of theOpium Wars.B. Both sources demonstrate the connection betweenglobal migration and industrialization.C. Both sources demonstrate ethnic and racialprejudice.D. Both sources demonstrate continuity in socialstructure. which of the following is the most appropriate documentation to appear with the calculate procedure? Which statement best describes how cybercriminals work? A bus arrives every 10 minutes at a bus stop. It is assumed that the waiting time for a particular individual is a random variable with a continuous uniform distribution.a) What is the probability that the individual waits more than 7 minutes?b) What is the probability that the individual waits between 2 and 7 minutes?A continuous random variable X distributed uniformly over the interval (a,b) has the following probability density function (PDF):fX(x)=1/0.The cumulative distribution function (CDF) of X is given by:FX(x)=P(Xx)=00. where is the equilibrium shifts when the concentration of h2(gas) is increased by adding more hydrogen gas to the container at constant temperature? Juanitas Social Security full monthly retirement benefit is $2,128. She started collecting Social Security at age 65. Her benefit is reduced since she started collecting before age 67. Using the reduction percents from Example 1, find her approximate monthly Social Security benefit to the nearest dollar.EXAMPLE 1Marissa from Example 2. What will her monthly benefit be, since she did not wait until age 67 to receive full retirement benefits?SOLUTION Age 67 is considered to be full retirement age if you were born in 1945. If you start collecting Social Security before age 67, your full retirement benefit is reduced, according to the following schedule. If you start at collecting benefits at 62, the reduction is about 30%. If you start at collecting benefits at 63, the reduction is about 25%. If you start at collecting benefits at 64, the reduction is about 20%. If you start at collecting benefits at 65, the reduction is about 13.3%. If you start at collecting benefits at 66, the reduction is about 6.7%.Marissas full retirement benefit was $1,130.40. Since she retired at age 65, the benefit will be reduced about 13.3%.Find 13.3% of $1,130.40, and round to the nearest cent.0.133 x 1,130.40Subtract to find the benefit Marissa would receive.1,130.40 x 150.34Marissas benefit would be about $980.06.EXAMPLE 2Marissa reached age 62 in 2007. She did not retire until years later. Over her life, she earned an average of $2,300 per month after her earnings were adjusted for inflation. What is her Social Security full retirement benefit? If point c is between points A and B the. __+CB=AB A molecule is 85. 7% C and 14. 3% H by mass. Determine its emperical formula Four of the following are important ecological services provided by forests; one is not. Choose the one that is not.a. Influences local and regional climateb. Purifies water and airc. Releases atmospheric carbond. Reduces soil erosione. Provides numerous wildlife habitat