Starting at 1:00 p.m., the temperature changes −4
degrees Fahrenheit per hour. Write and solve an equation to find how many hours x
it will take to reach −1°
F.

Answers

Answer 1

Answer:  9 hours

Step-by-step explanation:

here are a couple of things to notice here. You don’t have a starting temperature, so that will be an unknown. I will call it S.

The next thing to notice is that the current temperature (C) at any given time is just the starting temperature minus 4 times the number of hours (H) that have passed since 1 PM.

C = S – 4*H

We want to solve this for H when the current temperature (C) is -1.

-1 = S – 4*H

You can rearrange this by adding 4*H to both sides and adding 1 to both sides:

4*H = S + 1

Then you divide both sides by 4

H = (S+1)/4

This will tell you the number of hours PAST 1 PM that it takes to get to -1 degrees. Of course, you need to know the starting temperature, S, in order to get a numeric answer.

Let’s check this with an example. If the starting temperature were exactly 4 degrees above -1, then it should take exactly 1 hour. So let S = -1 + 4 = 3. If you plug 3 in for S, you do see that H becomes 1 hour PAST 1 PM (2 PM).


Related Questions

which expression is equivalent to (1 tanθ)tan(2θ) for all values of θ for which (1 tanθ)tan(2θ) is defined?

Answers

The given expression of trigonometry is equivalent to cos(2θ).

What is trigonometric function ?

trigonometry capability, in math, one of six capabilities (sine [sin], cosine [cos], digression [tan], cotangent [cot], secant [sec], and co-secant [csc]) that address proportions of sides of right triangles. These six geometrical capabilities comparable to a right triangle.

According to question:

We have,

1 - tan^2(θ)/1 +  tan^2(θ)

Use 1 + tan^2(θ) = sec^2(θ)

1 - tan^2(θ)/ sec^2(θ)

1/ sec^2(θ) - tan^2(θ)/sec^2(θ)

Use tan(θ) = sin(θ)/cos(θ)

cos^2(θ) - sin^2(θ)×cos^2(θ)/cos^2(θ)

cos^2(θ) - sin^2(θ)

Using sin^(θ) + cos^2(θ) = 1

cos^2(θ) - (1 - cos^2(θ))

2cos^2(θ) - 1

Here we have 2cos^2(θ) - 1 = cos(2θ)

Then, simplification of given expression is cos(2θ).

To know more about trigonometry visit:

brainly.com/question/26719838

#SPJ4

Correct question:

which expression is equivalent to 1 - tan^2(θ)/1 +  tan^2(θ) for all values of θ for which 1 - tan^2(θ)/1 +  tan^2(θ) is defined?

Find the digits in the ones,tens,and thousandth place

603.2798

Answers

Answer:

3 is in the ones place

0 is in the tens place

9 is in the thousandths place

Step-by-step explanation:

thousands, hundreds, tens, ones (DECIMAL) tenths, hundredths, thousandths

given a fair 6-sided die if you roll it 5 times and add up the results, what is the probability that the sum is divisible by 6

Answers

1/6  is the Dice roll probability that the sum is divisible by 6

What is Dice roll Probability ?

An event is a specific subset of the sample space in probability. The sample space, for instance, is equal to all of the values on the die, or the set, when just one die is rolled, as in the example above (1, 2, 3, 4, 5, 6). Each number in the set only appears once since the die is impartial. The frequency of each number is thus 1. We divide the event frequency (1) by the size of the sample space (6) to get the chance of rolling any one of the die's numbers, which comes out to 1/6.

The difficulty of computing probability more than doubles when two fair dice are rolled. This is so that rolling one die does not affect rolling another. A roll does not affect another roll. We apply the multiplication rule when dealing with independent occurrences. A tree diagram is used to show that there are 6 × 6 = 36 possibilities that can result from rolling two dice.

We know that whatever be the first four numbers , the fifth number will decide whether the sum is divisible by 6 or not

That is let , S= N+N5

Before adding N5 , we cannot say whether S is divisible by 6

N5 is chosen from 6 equally likely numbers ,1,2,3,4,5,6

P(N5) =1/6

Therefore  Dice roll probability that sum is divisible by 6 is 1/6

Learn more about Dice roll probability from the link below

https://brainly.com/question/20312769

#SPJ4

Which one blue, light blue , yellow or red

Answers

answer:

f(g(x))=4x^2-2

step-by-step explanation:

plug g(x) into f(x) to get f(g(x))=2(x^2-1). when this is simplified, you get the answer presented above. the correct answer would be the green option. hope that helps!

Aaden took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3. 10 plus $2. 75 per mile. The total fare was $27. 85, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.

Answers

The equation that will be used to solve the given question is [2.75x+3.10=27.85] and with the help of this equation we know that Aaden took a ride of 9 miles.

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, we know that:
The pick-up fee that the company charges is: #3.10

Ride charges per mile: $2.75

Total fare price: $27.85

So, let x be the number of miles ridden, the equation that will be used to solve the given question will be:

2.75x + 3.10 = 27.85

Now, solve as follows:

2.75x + 3.10 = 27.85

2.75x = 27.85 - 3.10

2.75x = 24.75

x = 24.75/2.75

x = 9

Therefore, the equation that will be used to solve the given question is [2.75x+3.10=27.85] and with the help of this equation we know that Aaden took a ride of 9 miles.

Know more about equation here:

https://brainly.com/question/28937794

#SPJ4

When the height of the cylinder increased from 100 m to 1000 m, what happened to the amount of heat generated in the system? it decreased by a factor of 10. it decreased by a factor of 5. it increased by a factor of 5. it increased by a factor of 10.

Answers

When the height of the cylinder increased from 100 m to 1000 m, what happened to the amount of heat generated in the system is decreased by a factor of 10.

Define the term potential energy?Potential energy is the energy that a body possesses as a result of its position. Heat is produced when this energy is transformed.

The potential energy formula is provided by

P.E. = m g h

In which m is the body's mass, h its height, and g its gravitational acceleration.

When a body is at a height of 100 m, its potential energy is

P = mgx100x100=100mg

When a body is at a height of 1000 m, its potential energy is

P' = mxgx1000x1000

P' = 1000 mg

P' to P have a 10:1 ratio.

Thus, ten times as much heat is produced in the cylinder.

To know more about the potential energy, here

https://brainly.com/question/1455245

#SPJ4

The answer is D: It increased by a factor of 10.

One year, the population of a city was 117,000. Several years later it was 136,890. Find the percent increase.

Answers

The percentage of increase in the population is  17 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage increase in the population be = A

Now , the equation will be

The initial population of the city = 117,000

The increase in population of the city = 136,890

Now , the percentage increase in population is given by the formula

initial population of the city + ( A / 100 ) x  initial population of the city = increase in population of the city

So , on substituting the values in the equation , we get

Percentage increase in population = 117000 + ( A/100 ) x 117000 = 136890

117000 + ( A/100 ) x 117000 = 136890

Subtracting 117000 on both sides of the equation , we get

( A/100 ) x 117000 = 19890

Divide by 117000 on both sides of the equation , we get

A / 100 = 0.17

Multiply by 100 on both sides of the equation , we get

A = 17 %

Therefore , the value of A is 17 %

Hence , The percentage of increase in the population is 17 %

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

Plot the points (0, 6) and (3, 0). What is the slope?
6/-3
O 1/2
-1/2
6/3

Answers

Slope is "change in y over change in x".

    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using those two points, you'd have

    [tex]m=\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{0-6}{3-0}=\dfrac{-6}{3}=-2[/tex]

Notice that doesn't match any of the listed answers.  The reason is that two of those answers aren't reduced.

If you reduce the first answer of [tex]\dfrac{6}{-3}[/tex], you have  [tex]\dfrac{6}{-3}=-2[/tex].  So that first answer is equivalent to the calculation above.

The answer from your list is the first one.

Adrian took out a students' loan that charges 10% annual simple interest. If Adrian paid back a total of $1200 in interest alone during the first four years , how much was Adrian's original loan, in dollars?
$1,000
$3,000
$4,000
$ 6,000
$12,000

Answers

The required simple interest of 10% of four year on principle amount is $857.

What is simple interest?

Simple interest depends on the chief measure of a credit or the first store in quite a while account. Straightforward interest doesn't build, and that implies a loan boss will just compensation interest on the chief sum and a borrower couldn't have ever to pay more interest on the recently gathered interest.

According to question:

We have,

Amount of four year = $1200

simple interest = 10%

Let loaned amount is x

Then,

interest of four year =×4 x×10/100 = 4x/10

According,

x + 4x/10 = $1200

14x/10 = $1200

x = $12000/14

X = $857 (appox)

Thus, the required loaned amount is $857.

To know more about simple interest visit:

brainly.com/question/25845758

#SPJ4

The price of Stock A at 9 A.M. was $12.71. Since​ then, the price has been increasing at the rate of $0.08 each hour. At noon the price of Stock B was $13.21. It begins to decrease at the rate of $0.11 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

In 2.63  hours the prices of the two stocks be the​ same

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

The price of Stock A at 9 A.M. was $12.71.

Price has been increasing at the rate of $0.08 each hour

Price of Stock B was $13.21

The price has been decrease at the rate of $0.11 each hour.

We can write in the form of equation , to find how many hours will the prices of the two stocks be the​ same

12.71+0.08h=13.21-0.11h

0.11h+0.08h=13.21-12.71

0.19h=0.5

Divide both sides by 0.19

h=0.5/0.19

h=2.63

Hence, in 2.63  hours the prices of the two stocks be the​ same

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Jose spent 7 days at soccer camp. Each day he spent 4.5 hours training in the midfield. Each hour of training, he ran 1.5 miles. How many miles did he run while at soccer camp?

Answers

7x4.5= 31.50x 1.5 =47.25

An elevator i on the twentieth floor. It goe to 22 floor. What floor i the elevator on now?

Answers

The elevator is on the 42th floor on moving 22 floor up to the present location of 20th floor.

Define the term addition of the numbers?Combining objects and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together. Addends are also the numbers that are added, while the total refers to the outcome of the operation.

Regarding the posed query:

Initial position of the elevator = 20th floor.Number of floor travelled by elevator = 22.

Thus,

Current position = 20 + 22

Current position = 42

Thus, the present location of the elevator is on 42th floor.

To know more about the addition of the numbers, here

https://brainly.com/question/25705423

#SPJ4

in one of the properties of logarithms, the division becomes subtraction. explain what it means. provide an example where this property may be applied. include reference(s) in your post.

Answers

Explained the quotient property "one of the properties of logarithms, the division becomes subtraction" has been explained with an example

In one of the properties of logarithms, the division becomes subtraction. That is the quotient property of the logarithm

Consider the two positive numbers x and y and a ≠ 0

Then,

[tex]log_a[/tex] (m /n) = [tex]log_a[/tex] m -  [tex]log_a[/tex] n

Here division became the subtraction

For example

To find the value of  [tex]log_2[/tex] (15/ 7) we will use the quotient property of logarithm, here the division of the numbers will be subtraction

[tex]log_2[/tex] (15 / 7) =  [tex]log_2[/tex] 15 -  [tex]log_2[/tex] 7

Therefore, the quotient property of the logarithm has been explained with example

Learn more about quotient property here

brainly.com/question/12474357

#SPJ4

(71+9+3)-(9-11+2) I really need help

Answers

Answer:  The correct answer is 83

Step-by-step explanation:

Complete the equations within each set of brackets

(71+9+3)-(9-11+2)

71+9+3 = 83

9-11+2 = 0

Subtract the results

83 - 0 = 83

Chris earns $7.00 per hour working on the weekends
He needs at least 210.00 for a new cell phone
Just look at the picture and help please

Answers

it’s d the last one. this is because of the greater than and equal sign

PLS HELP Me out!!! 30pts

Answers

Answer: D is correct

Step-by-step explanation: Another angle is needed to prove the triangles are congruent by the ASA theorem. The angle that needs to be added has to have segment QS in between it and angleQSR. The only angle that does that is angleRQS. For the 2nd triangle, do the same thing. The angle that needs to be added has to have segment ST in between it and angleUST. The only angle that does that is angleSTU.

the lengths, in inches, of adult corn snakes are normally distributed with a population standard deviation of 8 inches and an unknown population mean. a random sample of 25 snakes is taken and results in a sample mean of 58 inches. identify the parameters needed to calculate a confidence interval at the 99% confidence level. then find the confidence interval. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576

Answers

We can estimate with standard deviation of 8 that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

x = ​ 58

σ = ​ 8

n = ​ 25

z α/2​​ = ​ 2.576

(53.88, 62.12)

the given values σ=8, n=25, and z α/2=2.576 for a confidence level of 99%, we have

margin of error=(2.576)(8/√25)

≈ (2.576)(1.6)

≈4.12

With x¯=58 and a margin of error of 4.12, the confidence interval is

(58−4.12,58+4.12)

= (53.88 , 62.12).

therefore we can estimate with 99% confidence that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.

To know more about standard deviation , visit:

brainly.com/question/475676

#SPJ4

4 a. Graph the following system of equations.
y = -3x
y = x + 4
b. what does the graph show to be the solution of the system?

5 DeAndre and Leah are making origami cranes. their goal is to complete 1,000 cranes by the end of the summer.
- DeAndre already has 30 cranes and makes 5 more each day.
- Leah already has 10 cranes and makes 15 more each day.
The graph shows how many cranes, c, each person has made after d days.
a. what does the graph show to be the solution of the system?
b. what does the solution mean in this context?

Answers

4. a. The graph of the system is attached below.

b. The solution is: (-1, 3).

5. a. (2, 40) is the solution as shown by the graph.

b. (2, 40) means that both will complete 40 cranes after 2 days

How to Graph a System of Equation?

On a graph, when two lines are plotted for different equations, the solution is the coordinates of the point where both lines intersect.

4. a. The graph of y = -3x is the red line in the image attached below, while that of y = x + 4 is the blue line. They both intersect each other at (-1. 3).

b. The solution of the system is therefore, (-1, 3).

5. a. Using the graph given that shows the lines of the equations of DeAndre and Leah, both lines intersect at (2, 40).

We can therefore state that the solution to the system as shown in the graph is: (2, 40).

b. In the context of the scenario given, the solution (2, 40) means that both will have completed equal amounts of 40 cranes after 2 days.

Learn more about graph of a system on:

https://brainly.com/question/14323743

#SPJ1

7x4+10÷5 can someone pls help i have been on this question for 2 1/2 hours periodtttt

Answers

Answer:

30.

Step-by-step explanation:

First, we have to split up the equation:

(7 x 4) + (10 ÷ 5)

Now, we simplify:

(7 x 4) + (10 ÷ 5)

28 + 2

28 + 2 = 30.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 2 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
42:48

Answers

Answer:

7/8

Step-by-step explanation:42/48 divide both by 6 since that's the greatest common number that divides both

Line v is perpendicular to the graph of y= 2x - 11. Line w is parallel to line v and passes through point (-6,10)What is the equation in slope-intercept form of line w?

Answers

Answer:

y=26x-+8

Step-by-step explanation:

a cowboy agreed to work for one year for $\$19{,}200$ plus a horse. he quit after 7 months and was paid $\$10{,}450$ plus a horse. how many dollars was the horse worth, if the paid salary reflects the fair proportion of his yearly salary?

Answers

The horse was worth it for $1800.

What is proportion?

A mathematical comparison of two numbers is called a proportion. Ratios and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion. In this case, a and b can be any two integers.

Based on the given question condition, where, 'h' denotes the amount for the horse in dollars,  the proportion can be defined as:

or,  [tex]\frac{19200 + h}{12} = \frac{10450+h}{7}[/tex]

or, (19200 + h)7 = (10450 + h)12

or, 134400 + 7h = 125400 + 12h

or, 12h - 7h = 134400 - 125400

or, 5h = 9000

or, h = 9000/5 = 1800

Hence, the horse was worth $1800.

To learn more about proportion

https://brainly.com/question/870035

#SPJ4

Graph negative 3.5 and negative 1.5 on the number line

Answers

The required graph has been attached which represents negative 3.5 and negative 1.5 on the number line.

What is Number Line?

To indicate their position, all rational numbers can be plotted on a number line. Every point on the number line indicates how many units a number is away from zero and in which direction.

As per the question, the negative 3.5 placed on the number line is 3.5 units to the left of zero, and the negative 1.5 placed on the number line is 1.5 units to the left of zero. The number zero is the most essential position on the number line. All of the other locations on the number line are predicated on zero.

Thus, the required graph has been attached which represents negative 3.5 and negative 1.5 on the number line.

Learn more about the number line here:

brainly.com/question/17617832

#SPJ1

the surface area of a rectangular box is given by the polynomial 2hl 2lw 2hw and is measured in square units. a rectangular box is to be constructed for shipping materials. the box is to have dimensions of 5 inches by 3 inches by 7 inches. find the surface area of the box.

Answers

Surface area of the box measuring 5 inches by 3 inches by 7 inches is 142 square inches.

What is surface area ?

The surface area of the object that refers to the overall space that is filled by its surfaces. Different 3D shapes in the geometry have various surface areas, which can be quickly estimated using the formulas. Two categories are used to classify the surface area:

Curved surface area or Lateral surface area

Surface area in total

Surface area of rectangle = 2 ( lb + bh + hl )

Dimensions of box = 5 inches by 3 inches by 7 inches

Hence,

Length = 5 inches

Breadth = 3 inches

Height = 7 inches

By putting it in formula of surface area of rectangle

= 2 ( lb + bh + hl )

= 2 ( 5*3 + 3*7 + 7*5 )

= 2 ( 15 + 21 + 35 )

= 2 * 71

 = 142 square inches

Hence, the total surface area of the box is 142 square inches.

To learn more about Surface area, visit:

https://brainly.com/question/2835293

#SPJ4

the actual answer pleaseee hellpp asapp

Answers

Answer:

∠BEC is supplementary to ∠AEB

∠AED and ∠BEC are a pair of vertical angles

(-11)-2= I need to know the answer to this question

Answers

Answer: I = -13

Step-by-step explanation:

We just need to take the -11 -2 = -13.  A negative -11 subtracts negative 2 = -13

If you can please give me a Brainliest, I need 2 more to reach Ace rank, thank you!

Answer: -13

Step-by-step explanation:

The answer is negative 13 because a negative added by a negative equals a negative

Suppose are running a study/poll about the probability of catching the flu this year. You randomly sample 142 people and find that 69 of them match the condition you are testing. Suppose you have the following null and alternative hypotheses for a test you are running: H 0 : p = 0.54 H a : p < 0.54 Calculate the test statistic, rounded to 3 decimal places

Answers

The test statistic of null and alternative hypotheses for a test is 0.811.

69 of the 142 persons that were randomly chosen from a sample are found to meet the condition we are testing.

The sample proportion phat = 69 ÷ 142 = 0.489

n = 69

p = 0.54

the following are your test's null and alternate hypotheses:

[tex]H_0[/tex] : p = 0.54

[tex]H_a[/tex] : p < 0.54,

test statistic,

z = (phat - p) ÷ √(p × (1 - p) ÷ n)

z = (0.489 - 0.54) ÷ √((0.79 × 0.21) ÷ 42) = 0.811

A test statistic is a figure obtained from a statistical analysis. It explains how distant the observational values seem to be from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

Learn more about the test statistic at

https://brainly.com/question/14053328?referrer=searchResults

#SPJ4

Which figure is
misleading?
1) Figure A
2) Figure B

Answers

Answer:

Figure B.

Step-by-step explanation:

Figure A uses what is visually similar in size cylinders to give a detailed image of the amount of money (assumingly as profit). Each given cylinder that is in similar size represents $200, and so it is easy to figure out how the amount of money per store.

In the case of Figure A,

Save Store = $400

Leff's Store = $800

Low Pricer = $1200

In the case of Figure B, however, while it gives a legend for price per cylinder of that proportion, it does not make use of the legend, and does not give a adequate legend to decipher the Figure. In essence, the data given in Figure B is useless as it makes no use of its legend.

Learn more about types of data, here:

https://brainly.com/question/26045736

in the xy-plane, the line x y k   , where k is a constant, is tangent to the graph of 2 y x x    3 1. what is the value of k?

Answers

The value of k is -3.

What is a tangent line?

The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are endlessly close to one another.

Here, we have

Given

x + y = k

y = x² + 3x

slope of tangent line = dy/dx = 2x+3

k is y-intercept of the tangent line

2x+3 = -1

x = -2

y = (-2)^2+3(-2)+1 = -1

The tangent line passes through the point (-2,-1)

k = x+y

k = -2 -1

k = -3

Hence, the value of k is -3.

To learn more about the tangent line from the given link

https://brainly.com/question/6617153

#SPJ4

A product sells at a regular price of $150 which is on sale for 60% off the regular price. Find the sale price.

Answers

The new sale price of the product after the deduction of discount is $60

What is the sale price?

In order to solve the given task, use the concept of percentage.

Regular price of the product = $150Percentage discount = 60%

New price of the product = Regular price of the product - (Percentage discount × Regular price of the product)

= 150 - (60% × 150)

= 150 - (0.6 × 150)

= 150 - 90

= $60

Consequently, the new selling price of the product is $60

Read more on percentage discount:

https://brainly.com/question/843074

#SPJ1

Other Questions
PLEASE HELP!! HURRY!!! Jim made $165 for 11 hours of work. At the same rate, how much would he make for 7 hours of work? manny, age 52, is a postal worker who drives a truck every day. he presents with low back pain and has decreased sensation to a pinprick in the lateral leg and web of the great toe. this indicates discogenic disease in the dermatomal pattern of which area? Please Help me Understand this Function and Relation problem and solve it describe the outside of the house of usher. what mood does this evoke for you and how does the narrator feel about it Sara withdraws $1,000 from her savings account at the lucky s&l, keeps $50 in cash, and deposits the balance in her checking account at the bank of illinois. What is the immediate change in m1 and m2?. question 1 suppose that as a project manager, you assign tasks to the team members who can best complete them. what project management value does this represent? help :(( pleaseeeeeee Jeff suspects that his roommate's sexist jokes may indicate that his roommate has some hidden, unconscious hostility toward women or that he feels very insecure around women. Jeff's analysis suggests a ________ approach to personality.a. psychoanalyticb. traitc. phenomenologicald. behaviorist PLSSS HELP IF YOU TURLY KNOW THISS A 1.0 kg block is pushed 3.0 m at a constant velocity up a vertical wall by a constant force applied at an angle of 26.0 with the horizontal, as shown in the figure. The acceleration of gravity is 9.81 m/s 2 . If the coefficient of kinetic friction between the block and the wall is 0.40, find a) the work done by the force on the block. Answer in units of J. an archeological, or cultural period, took place during the late pleistocene. the late pleistocene describes a period of time at the end of the ice age. during this time, neanderthals and premodern humans lived, made advances in tool technology, and buried their dead. what was the archeological/cultural time period called? f public utilities are a natural monopoly, what would be the danger in splitting them into a number of separate competing firms? write a program that calculates the balance of a savings account at the end of a period of time. it the following is one way of adequately summarizing the argument from evil: an omnipotent and morally good being would not allow the amount of evil we find in the world. group of answer choices true false Based on these lines, what role did friar john play in the catastrophe? he delivered friar laurences letter to the wrong person. he continually forgot to deliver friar laurences letter. he made the choice not to deliver friar laurences letter. he was prevented from delivering friar laurences letter. an adult resident of an assisted living facility has a history of migraines and has a prescription for sumatriptan, administered prn. before the client takes a dose, the nurse should ask what question to ensure the client's safety? g match the descriptions with the methods provided for the java implementation of the producer-consumer problem group of answer choices if the array is full, wait until a spot becomes available [ choose ] if the array has space, put an item in it and awaken all therads [ choose ] if the array is empty, wait until it contains an item [ choose ] if the array has items, obtain an item and awaken all threads [ choose ] keep on depositing new items into a queue [ choose ] keep on fetching items from a queue (1)Many animals, including some insects, use visual clues to find their way. (2)For example, the female digger wasp lays eggs in a burrow in the soil. (3)She then flies off to capture her prey, which she stores in the burrow to feed her offspring when they hatch. (4)The famous animal-behavior scientist Niko Tinbergen studied the cues used by the female to relocate her burrow. (5)While the female was inside, Tinbergen surrounded the nest with pine cones. (6)When the wasp emerged, she flew around the nest before departing. (7)While she was gone, Tinbergen moved the cones about a foot away. (8)The returning wasp still sought her nest within the ring of cones. (9)Although the nest was in plain sight nearby, she was unable to locate it because the visual landmarks on which she relied had been shifted.(10)Birds may also use landmarks, such as rivers and seashores, to find their way. (11)Several species migrate at night or over large expanses of ocean, using the position of the sun or stars to tell direction. (12)Many species seem to have genetically programmed information about the direction of the sun at various times of day, and also possess a biological clock that measures off a roughly twenty-four-hour day. (13)Other birds have the remarkable ability to read the night sky. (14)Indigo buntings, for example, seem to have a built-in star map that enables them to find which direction is north, during spring migration, by looking at the stars.Question9. The indigo bunting is a type ofa. star.b. bird.c. insect.d. built-in star map. a 2.25-g sample of magnesium nitrate, mg(no3)2, contains mol of this compound. question 20 options: 0.0152 65.8 38.4 148.3 0.0261