delivered.
a. What is the constant rate of​ change? What does it​ represent?
b. What is the initial​ value? What might that​ represent?

Answers

Answer 1

The constant rate of change and initial value for the given graph are 40 and 20 respectively. the initial value might represent the fixed cost of the soil.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given problem can be solved as follows,

(a) The graph given is a straight line that passes through (0, 40) and (10, 240).

The constant rate of change is equivalent to the the slope of the line given as,

⇒ (240 - 40)/(10 - 0) = 20

(b) The initial value of the graph is given as the y-intercept of the line.

Which is given as 40.

It might represent the fixed cost.

Hence, the constant rate of change is given as 40 and the initial value is 20 which might represent the fixed cost.

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The missing graph is attached here.

Delivered.a. What Is The Constant Rate Of Change? What Does It Represent?b. What Is The Initial Value?

Related Questions

HELPPPP!! how do i find the angle measure ?

Answers

Answer:

1. m<AOB = 50 degree

2. m<COD = 90 degree

3. m<BOD = 130 degree

4. m<AOD = 180 degree

Step-by-step explanation:

1. We see that <AOB has one leg at 0 and the other leg at 50 degrees, so the <AOB is 50 degrees.

2. We see that <COD has one leg at 0 and the other leg at 90 degrees, so the <COD is 90 degrees

3. We see that <BOD has one leg at 50 and the other leg at 180 leg, so the <BOD is 180 - 50 = 130 degree

4/ We see that <AOD has one leg at 0 and the other leg at 180 degrees, so the <AOD is 180 - 0 = 180 degrees

Select the correct answer from each drop-down menu. which formulas return true, if the value in cell b4 is 12 and the value in c4 is 29? and return true, if the value in cell b4 is 12 and the value in c4 is 29.

Answers

the correct answer from each drop-down menu. which formulas return true,.if the value in cell b4 is 12 and the value in c4 is 29.: A. =B4=12 AND C4=29

The correct answer is A. =B4=12 AND C4=29, as this is the only formula that returns true if the value in cell b4 is 12 and the value in c4 is 29.

Both B. =(B4=12) AND (C4=29) and D. =(B4+C4)=41 are correct, but they do not fit the given criteria.

C. =B4+C4=41 does not return true for the given values, as 12 + 29 does not equal 41.

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The prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500.

The price that is 3 standard deviations above the mean is $_

The price that is 2 standard deviations below the mean is $_

The percentage of buyers who paid between $16,500 and $17,500 is %___

The percentage of buyers who paid between $17,000 and $18,000 is %___

The percentage of buyers who paid less than $16,000 is %__

Answers

Answer: If the prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500, it means that the majority of the prices paid for the car will fall within a certain range around the mean. Specifically, approximately 68% of the prices paid will be within one standard deviation of the mean, which in this case would be between $16,500 and $17,500. Approximately 95% of the prices paid will be within two standard deviations of the mean, which would be between $16,000 and $18,000. And approximately 99.7% of the prices paid will be within three standard deviations of the mean, which would be between $15,500 and $18,500. This shows that the prices paid for the car are relatively consistent, with only a small percentage falling outside of the range determined by the mean and standard deviation.

Step-by-step explanation:

y is directly proportional to x. When x = 2, y = 64. Find x when y = 80​

Answers

Answer:

64 divided by 2= 32 80 divided by 32= 2.5

please solve theta
csc^2 theta=cot theta+3

Answers

The value of θ will -45° or 26.56°

What are trigonometric identities?

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

Given that, cosec²θ = cotθ + 3

Solving for θ,

∵ cosec²θ = cot²θ+1

∴ cot²θ+1 = cotθ + 3

cot²θ-cotθ-2 = 0

Factorizing and solving, we get

(cotθ+1)(cotθ-2) = 0

cotθ+1 = 0

cotθ = -1

θ = -45°

or, cotθ-2 = 0

cotθ = 2

θ = 26.56°

Hence, The value of θ will -45° or 26.56°

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Write an equation that represents the line.
Use exact numbers.

Answers

answer : y = 4/5x - 22/5

y = mx + b

get m or slope (aka "rate" or "speed")

(fun fact : see how the graph is a straight line? a lot of calculus is trying to get the rate or speed or slope of a curved graph)

(-3,-6) (2,-2)

(y2 - y1)/(x2-x1)

-2 + 6/2 + 3

m = 4/5

(if you make the 2 points a triangle bottom is 5 and the right side is 4)

line formula

y - y1 = m (x - x1)

y + 6 = 4/5 ( x + 2 )

y = 4/5x + 8/5 - 6

y = 4/5x + 8/5 - 30/5

y = 4/5x - 22/5

side note : since the graph doesnt go thru (0,0) the graph is NOT PROPORTIONAL

select the correct answer from each drop down menu

choices: the rate of function eight is (greater than), (less than), (equal to) the rate of change a function b

(neither function is ), (only function b is) , (only function a is) , (both functions are) increasing.

The y intercept of function a is (less than) , (greater than), (equal to) the y-intercept of function B

whatever is in the parentheses are the choices. please help

Answers

The rate of change of function A is greater than the rate of change of function B.

The y-intercept of function A is less than the y-intercept of function B.

How to calculate the rate of change of the function?

The rate of change is also called the slope of a linear equation and is defined as the rate of change of y-values divided by the corresponding change in x-values.

For function A, we are told that the line passes through the points (2, 3) and (-1, -3). The rate of change is gotten from the formula;

Rate of change = (y₂ - y₁)/(x₂ - x₁)

Rate of change = (-3 - 3)/(-1 - 2)

Rate of change = -6/-3

Rate of change = 2

For function B, we are given that the equation of the line is;

y = ¹/₂x + 2

Now, formula for equation of a line in slope intercept form is;

y = mx + c

where ;

m is slope and c is y-intercept

Thus, slope is 1/2 and y-intercept is 2

For function A, we can find the y-intercept as;

3 = 2(2) + c

c = 3 - 4

c = -1

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identify the value of f(x) and x from the given coordinates

Answers

Answer:

1

Step-by-step explanation:

For function f(x), the average rate of change from x = a to x = b is:

average rate of change = (f(b) - f(a))/(b - a)

Here we have:

f(a) = f(-3) = -2.88

f(b) = f(2.5) = 2.62

average rate of change = (2.62 - (-2.88))/(2.5 - (-3)) = 1

What is x+3y ≥ 3
Help?

Answers

Answer: x

3

3

y

Step-by-step explanation:

What is the 5th term in this sequence? 1, -8, -17

Answers

The value of the fifth term in the given sequence as represented in the task content is; -35.

What is the value of the fifth term in the sequence as given?

It follows from the task content that the value of the fifth term in the given sequence is to be determined.

On this note, it follows from the observation that the given sequence is arithmetic and the nth term, T (n) = a + ( n - 1 ) d.

where, a = first term = 1

and d = common difference = -8 - 1 = -17 - (-8) = -9.

Therefore, the fifth term is given as;

T (5) = 1 + ( 5 - 1 ) -9

= 1 + (4 × -9)

= 1 - 36

= -35.

On this note, the fifth term of the sequence as required is; -35.

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a fast-food restaurant runs a promotion in which certain food items come with game pieces. according to the restaurant, 1 in 4 game pieces is a winner. if jeff keeps playing until he wins a prize, what is the probability that he has to play the game exactly 5 times?

Answers

The probability that Jeff has to play the game exactly 5 times i.e he keeps playing until he wins prize is (0.25)⁵.

We have, a fast-food restaurant runs a promotion which consists some food items with games pieces. 1 in 4 game pieces is a winner. This means, probability of winning game or sucess (p) = 1/4 . Since number of trials is fixed, trials are independent and probability of success is constant in each trial, we can use Binomial distribution. The Binomial distribution probability formula is

P(X= x) = ⁿCₓ(p)ˣ(1-p)⁽ⁿ⁻ˣ⁾

where,n --> number of trials

p --> probability of success

x --> number of times for a specific outcome within n trials

ⁿCₓ --> number of combinations

we have calculate the probability that he has to play the game exactly 5 times, i.e

x = 5 . Jeff keeps playing until he wins and he wins when he play exactly 5 times so,n= 5

Now, plugging all known values in above formula we get,

P(X= 5) = ⁵C₅(0.25)⁵(1-0.25)⁰

=> P(X= 5) = ⁵C₅(0.25)⁵(0.75)⁰

=> P(X= 5) = 1× (0.25)⁵× 1 = (0.25)⁵

Hence, required probability is (0.25)⁵

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A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8, –4). Answer the questions about line t to write the equation.

What is the slope of line t?

–0.75
What is the y-intercept of line t?

2
What is the equation in slope-intercept form of line t?

y = –0.75x + 2

Answers

The line 't' is y = -0.75x + 2 which has a slope of negative 0.75 and the y-intercept is 2.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The line t that passes through the points (0, 2) and (8, -4) is given as,

(y - 2) = [(- 6 - 2) / (8 - 0)](x - 0)

y - 2 = - 0.75x + 0

y = -0.75x + 2

The line 't' is y = -0.75x + 2 which has a slope of negative 0.75 and the y-intercept is 2.

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a cylindrical water tank with its circular base parallel to the ground is being filled at the rate of 4 cubic feet per minute. the radius of the tank is 2 feet. how fast is the level of the water in the tank rising when the tank is half full? give your answer in feet per minute.

Answers

In the given cylinder we know that it takes the water around 3.14 minutes to rise 1 ft.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.

It is regarded as a prism with a circle as its base in basic geometry.

In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

So, we know that:

The rate at which water is being filled is 4 ft³.

The radius of the cylinder is 2 ft.

Now, the time in which the level of water in the tank rises when the tank is half full:

Area of cylinder: πr²

πr² =  12.566 ft³

Next, multiply 4 by 12.566 to get how quickly the water is rising:

12.566 ft³/4 ft³/min = 3.14 m

According to this, a foot of water rises every roughly 3.14 minutes, or 1/3.14 - 0.318 ft/min, or 3.82 in/min.

Therefore, in the given cylinder we know that it takes the water around 3.14 minutes to rise 1 ft.


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(93 points) Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 12 of the first box and 34 of the second box.

A. 1/2 box

B. 2/3 box

C. 3/4 box

D. 1 1/3

Answers

Answer:

The answer is C, 3/4 of a box

An airplane is descending from 35600 ft at 3200ft per mile,

how long would it be until the plane reaches 18,000 ft? I dont remember the exact ft but i just need a example such as a equation to solve please! please help! T>T

Answers

Answer:

To calculate how long it will take for the plane to reach 18,000 ft, first find the difference between the plane's current altitude and its target altitude:

35,600 ft - 18,000 ft = 17,600 ft

Then, divide this difference by the rate of descent to find the time it will take for the plane to reach its target altitude:

17,600 ft / 3,200 ft/mile = 5.5 miles

Since the rate of descent is given in feet per mile, this result is equivalent to the time it will take for the plane to reach its target altitude. Therefore, it will take the plane 5.5 miles (or a similar amount of time) to reach 18,000 ft.

a line with a slope of 2 passes through the points (10,8) and (w,6). what is the value of w?

Answers

Answer:

w = 9

Step-by-step explanation:

Use a slope formula to solve. Subtract the y's put that on top and subtract x's and put that on the bottom. This calc should equal 2 that was given.

(8-6)/(10-w) = 2

2/(10-w) = 2

Cross-multiply.

2 = 2(10-w)

Distributive property

2 = 20 - 2w

Add 2w

2 + 2w = 20

Subtract 2

2w = 18

divide by 2

w = 18/2 = 9

Or you can logic it out...8-6 is 2 on top. Need a 1 on the bottom (bc 2/1 is 2) 10-9 is 1 for on the bottom. w = 1

If k is a negative integer, which of these is DEFINITELY NEGATIVE? A. k* (k-1) * (k - 2) B. k* (k+1) C. k* (-50) D. (50-k)​

Answers

Answer:

only A ans bellow

Step-by-step explanation:

let k= -4

A. k * (k - 1) * ( k - 2)

= -4 * (-4 -1) * ( -4 -2)

= -4* (-5) * (-6)

= 20*-6

= -120

B. k * ( k+1)

= -4 * ( -4+1)

= -4 * (-3)

= + 12

C. k * (-50)

= -4 * (-50)

= + 200

D . (50 - k)

= 50 - (-4)

= 50 + 4

= + 54

Mark me the brainliest

if k is negative then k(k-1)(k - 2) will be definitely negative.

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that k is a  negative integer.

We need to find which of the given options are defnitely negative.

Let us consider k as -3.

k(k-1)(k - 2)

-3(-3-1)(-3-2)

-3(-4)(-5)=-60

Which is negative.

k(k+1)=-3(-3+1)=6 +ve

k (-50)=-3(-50)=150 +ve

(50-k)​=50-(-3)=53 +ve.

Hence, if k is negative then k(k-1)(k - 2) will be definitely negative.

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What is the solution to this system of linear equations?
2x + y = 1
3x - y = -6

Answers

Answer:

x = -1

y = 3

Step-by-step explanation:

2x + y = 1

3x - y = -6

Let's find x first by adding both equations

5x = -5

x = -1

Now put -1 in the spot of the variable x

2(-1) + y = 1

-2 + y = 1

y = 3

How do I solve for x in #34 and #35?

Answers

Answer:

  34. x = 3 1/3

  35. x = 5.2

Step-by-step explanation:

Given figures involving triangles with angle bisectors and parallel segments, you want to solve for x.

In each case, you need to make use of two proportional relationships. An angle bisector divides the triangle proportionally. An segment parallel to one side of the triangle divides it proportionally.

34.

Using the angle bisector relation, you have ...

  QP/PT = QS/ST

  x/3 = 5/ST   ⇒   x = 15/ST

Using the parallel segment relation, you have ...

  PT/QR = ST/SR

  3/2 = ST/3   ⇒   ST = 9/2

Using the value of ST in the equation for x gives ...

  x = 15/(9/2) = 30/9 = 10/3

  x = 3 1/3

35.

Using the angle bisector relation, you have ...

  EF/ED = CF/CD

  7.2/9 = CF/6   ⇒   CF = 6(7.2/9) = 4.8

Using the parallel segment relation, you have ...

  CB/BA = CF/FE

  x/7.8 = 4.8/7.2

  x = 7.8(4.8/7.2)

  x = 5.2

__

Additional comment

In each case, we assigned a numerical value to the intermediate variable (ST, CF). We didn't actually need to do that.

Establish the identity.
1+ tan^2 (-0) = sec^2 0
Which of the following four statements establishes the identity?

pls help asap i can’t pass this class without passing this test :(

Answers

The correct statement that establishes the identity is the third one: "The reciprocal of the cosine of an angle is equal to the secant of the angle."

Here's how you can prove this using the other three statements:

"The tangent of an angle is equal to the sine of the angle divided by the cosine of the angle."

"The reciprocal of the sine of an angle is equal to the cosecant of the angle."

"The reciprocal of the cosine of an angle is equal to the secant of the angle."

"The reciprocal of the tangent of an angle is equal to the cotangent of the angle."

To prove the identity, we can start by substituting the first statement into the equation on the left side of the identity:

$1 + \tan^2 (-0) = 1 + \left( \frac{\sin (-0)}{\cos (-0)} \right)^2 = 1 + \frac{\sin^2 (-0)}{\cos^2 (-0)}$

Next, we can use the fourth statement to write the right side of the identity in terms of the cotangent:

$1 + \frac{\sin^2 (-0)}{\cos^2 (-0)} = 1 + \frac{1}{\cot^2 (-0)} = \frac{1}{\cot^2 (-0)}$

Now we can use the second statement to write the right side of the identity in terms of the cosecant:

$\frac{1}{\cot^2 (-0)} = \frac{1}{\frac{1}{\sin^2 (-0)}} = \csc^2 (-0)$

Finally, we can use the third statement to write the right side of the identity in terms of the secant:

$\csc^2 (-0) = \frac{1}{\sec^2 (-0)} = \sec^2 (-0)$

Therefore, the third statement establishes the identity.

For a recipe, harris uses 2 cups of sugar for each cup of flour. how many cups of flour does harris need when he uses 1 cup of sugar?

Answers

Answer:

1/2 a cup of flour

Step-by-step explanation:

Sugar to flour ratio:
2 to 1
That means for every 2 sugar Harris needs 1 cup flour
There are twice as many cups of sugar of cups of flour
Since 1/2 times 2 is 1 that means the ratio is ture

2 to 1 = 0.5 to 1

Hope this helps :) im kinda bad at explaining

A basketball team has a winning percentage of 62.5% after 8 games. How many games in a row must be won to raise the winning percentage to 75%?

Answers

Answer: 11

Step-by-step explanation: To raise the winning percentage to 75%, the team needs to win 3 more games out of 4, for a total of 3/4=75% of the games. Since the team has already won 8 games, they need to win 8+3=11 games in a row to raise the winning percentage to 75%

if x^2 + y^2 = 289, find the value of dy/dt at (8,15)

Answers

Answer: a)

Step-by-step explanation:

To find [tex]\frac{dy}{dx}[/tex], we will have to use implicit differentiation, and because the base is [tex]dx[/tex], we will take the deriviative of both sides with respect to [tex]x[/tex].

To derive [tex]y[/tex] with respect to [tex]x[/tex], just derive the term with respect to y then multiply the term with [tex]\frac{dy}{dx}[/tex].

So [tex]\frac{d}{dx} x^{2}[/tex] is just [tex]2x[/tex], [tex]\frac{d}{dx} y^{2}[/tex] is [tex]2y \frac{dy}{dx}[/tex], and  [tex]\frac{d}{dx} 289[/tex] is 0. Now substitue each term with it's deriviative.

[tex]2x + 2y \frac{dy}{dx} = 0[/tex]

Now, just solve for  [tex]\frac{dy}{dx}[/tex] when [tex]x[/tex] is 8 and [tex]y[/tex] is 15

[tex]2(8) + 2(15)\frac{dy}{dx} = 0[/tex]

[tex]16 + 30\frac{dy}{dx} = 0[/tex]

[tex]\frac{dy}{dx} = \frac{-16}{30} = \frac{-8}{15}[/tex]

So the answer is choice a)


Is (1,10) a solution to
y=7x+5
y=x+9
No or yea

Answers

Answer:

no

Step-by-step explanation:

we can test it

10=7(1)+5

10=7+5

10=12

not a solution

hopes this helps

a company wants to encrypt a document containing important passwords. to do this, the sum of two positive numbers will need to be minimized. if the product of both numbers is 47, what is the minimum sum?

Answers

The requried, "a" and "b" are positive numbers, the minimum sum (a + b) is 13.711.

To find the minimum sum of two positive numbers whose product is 47, we can use the concept of the arithmetic mean-geometric mean inequality (AM-GM inequality).

The AM-GM inequality states that for any two positive numbers, the arithmetic mean (average) is always greater than or equal to the geometric mean. Mathematically, it can be expressed as:

AM ≥ GM

For two positive numbers "a" and "b," the arithmetic mean is (a + b) / 2, and the geometric mean is √(ab).

Given that the product of the two numbers is 47 (ab = 47), we want to find the minimum value of their sum (a + b).

Using the AM-GM inequality:

(a + b) / 2 ≥ √(ab)

Substitute ab = 47:

(a + b) / 2 ≥ √47

Now, let's solve for the minimum sum (a + b):

a + b ≥ 2(√47)

a + b ≥ 2 * √(47)
a + b ≥  13.711.        

Since "a" and "b" are positive numbers, the minimum sum (a + b) is 13.711.

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There are 30 giraffe and 6 penguin at the zoo. Which tatement correctly compare the two quantitie?

Answers

To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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You know distance and speed and want to find the time

You know time and distance and want to find the speed

You know speed and time and want to find the distance

Answers

Answer:

time=speed÷distance

speed=distance×time

distance=speed ÷time

Step-by-step explanation:

from the answers we get a relationship between speed,distance and time.there by when with two you can find the other

mince pies and 2 jars of cranberry sauce costs £4.80 10 mince pies and 3 jars of cranberry sauce costs £7.60 How much does a mince pie and a jar of cranberry sauce cost each?

Answers

Answer:

£2.53 just divide£7.60by 3

A train leaves the station at time t=0. Traveling at a constant​ speed, the train travels 260 kilometers in 2 hours. Answer parts a and b

Answers

The function which can be used to find the relation between distance and time is f(t) = 130t.

As we know the train travels 260 kilometers in 2 hours,

then the distance traveled in one hour will be 130 kilometers.

distance = 130

when time = 0 ,

distance also = 0 , as the train has not started moving yet.

Then , the function which can tell bout the  relation will be ,

f(t) = 130t

where d = f(t)

Distance is a scalar quantity which tells us about how far an object is from its starting position. Distance don't have a direction.

The distance unit of measurement in the SI

SI unit of distance is meter  in the International System of Units.

Using this as the fundamental unit and a few formulae, a large number of different derived units or quantities are produced, including volume, area, acceleration, and speed.

Distance is measured also  using the C.G.S. and M.K.S in metric unit system.

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Answer the questions about the following polynomial..... please help!

Answers

Answer:

x⁵ - 1/3x² -1

Step-by-step explanation:

In order to write polynomials in standard form:

1) Find the degree (power) of each term

2) Arrange them in descending order (largest to smallest)

We have : -1 + x⁵ - 1/3x²

The degree of -1 is 0 since there is no power.

The degree of x⁵ is 5.

The degree of - 1/3x² is 2.

Now arranging them in descending order:

x⁵ has the largest degree, followed by - 1/3x² and then -1, so the polynomial in standard form is:

x⁵ - 1/3x² -1

Other Questions
find the value of x. Which statement best paraphrases the first three lines of the First Witch?A sailors wife was munching on chestnuts while her husband was sailing on a ship called The Tiger.A sailors wife greedily snacked on the chestnuts in her lap while waiting for her husband to return from the sea.A sailors wife was eating chestnuts, but when I asked if I could have one, she yelled at me to go away.A sailors wife scurried away like a rat without a tail when I demanded some chestnuts from her. PLEASE HELP THE FIRST PERSON TO ANSWER WILL GET BRAINLIEST IF CORRECT!!question: Which of these sentences fails to paraphrase words from the passage?passage: Wearing goggles is a way for people to protect their eyes from something harmful. One of the first pairs of goggles was made by the Inuits. They fashioned them from caribou antlers. The antlers curved around their eyes and had tiny slits that allowed small amount of light to enter. These goggles prevented snow blindness. Snow blindness can occur during the springtime when intense sunlight is reflected off of the white snow. In addition, people began wearing goggles for other activities. When working with tools, goggles can prevent eye damage from tiny objects flying. This can be seen when a blowtorch is used and sparks fly around the worker. Besides providing protection for the everyday job, goggles can protect the eyes of athletes. Swimming goggles protect a swimmers eyes from water that can blur his or her sight. In basketball, goggles can act as glasses and prevent players eyes from being scratched.answers: A. There are many jobs that need goggles to protect a worker's eyes from tiny flying particles. B. Inuits created a pair of goggles so that they could walk during the springtime on the snow. C. Besides providing protection for the everyday job, they can protect the eyes of athletes. D. Basketball players wear goggles during the game just in case they get injured by rough play. the following data relate to labor cost for production of 4,300 cellular telephones: actual: 2,900 hrs. at $14.40 standard: 2,850 hrs. at $14.60 a. determine the direct labor rate variance, direct labor time variance, and total direct labor cost variance. enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number.Rate variance$Time variance$Total direct labor cost variance$b. The employees may have been less-experienced workers who were paid less than more-experienced workers or poorly trained, thereby resulting in a labor rate than planned. The lower level of experience or training may have resulted in efficient performance. Thus, the actual time required was than standard. An IT engineer installs equipment in a new network closet. While establishing all of the connections, the engineer utilizes a punch down tool. Considering the possible uses, which of the following does the engineer use the tool for?Fixing conductor connections a system compromise prompts the it department to harden all systems. the technicians look to block communications to potential command and control servers. which solutions apply to working with egress filtering A nurse is establishing health promotion goal for a female client who smokes cigarettes, has hypertension, and has a BMI of 26. Which of the following goals should the nurse include?A. The client will list foods that are high in Calcium, which should be avoidedB. The client will walk for 30 min 5 days a week.C. The client will increase calorie intake by 200 cal per dayD. The client will replace cigarettes with smokeless tobacco products.B. The client will walk for 30 min 5 days a week. assume that nums has been declared and initialized as an array of integer values. which of the following best describes the value returned by the call mystery(nums) ? acmepayimport java.util\.\*; public class acmepay { public static void main(string[] args) throws exception If C is of the distance from A to D if A is (3,7) and D is (11,11) where is C? Which of the following best describes Borrelia burgdorferi?A. a bacillus that causes plagueB. a coccus that causes cat scratch diseaseC. a spirillum that causes Rocky Mountain spotted feverD. a spirochete that causes Lyme disease The domain of a certain exponential function is all real numbers. The range of the function is all realnumbers greater than -3. The graph of the function has a horizontal asymptote at y = -3.Select a graph or graphs to fit the description of the function. Jody's father is at the store to purchase an over-the-counter pain reliever. Develop a list of criteria that Jody's father could use to evaluate the different products available. Explain what resources are available to get information about these products. Explain why the resources you list are good sources of information. The theme of the story is the main idea or lesson learned which goes beyond the actual storyline. Which of the following sayings best describes the theme of "The Gift of the Magi"?---Love is the greatest gift of all---Money can't buy love---A gift must come from the heart---Beauty comes from within What device to observe the relationship between volume and number of moles at constant pressure and temperature? although the phenomenon of empathy is still not fully understood, what discovery seems to be the most plausible explanation of empathy? this was one of the earliest attempts to explain how individuals adjust to aging and has endured partly because of its self-evident nature; it is one that people can relate to and understand. Prove the property a b = b a of this theorem. Let a = a1, a2, a3 and b = b1, b2, b3 . Then a b = __ = (1) __ = b a. Identify the correct statements regarding the use of stable oxygen isotopes in reconstructing ancient climates.a. Oceanic microorganisms preserved in sea floor sediments or elsewhere can be analyzed to measure the ratio of 16O to 18O.b. As global temperature varies, the amount of 18O in water changes in response.c. Oxygen is incorporated into biological tissues of living organisms.d. The ratio of 14C to 18O provides an estimate of global temperature. Suppose that you have trained a logistic regression classifier, and it outputs on a new example x a prediction h(x) = 0.7. This means (check all that apply):Our estimate for P(y=0|x;) is 0.7.Our estimate for P(y=1|x;) is 0.7.Our estimate for P(y=0|x;) is 0.3.Our estimate for P(y=1|x;) is 0.3.