A large conical tank is positioned so that its vertex is pointed downward. Water drains out from a hole at the vertex. As the water drains, the height of the water (measured from the vertex to the top surface) is always twice the radius of the waters surface.
a. draw and label a diagram of the situation, defining any variables you use
b. write a function that gives the volume of the water in the cone as a function of radius of the water at the top surface, using no other variables/parameters.
c. using variable t to represent the time aspect of these changes, what rate of change notation can we use for how the volume of water changes with respect to time and how the radius of the water at the top surface changes with respect to time? (notation for the two quantities only, not an equation)
d. Starting from the original quantity relation in (b) determine the equation that relates their rates of change with respect to time, that is "find the related rates equation"
e.suppose that the water drains from the cone at a constant rate of 15 cm^3 per second. how fast is the radius of the top surface of the water changing when the radius measures 75 cm? write your result in a complete sentence
2. use implicit differentiation to determine dy/dx for the following relation: sin(2x^2y^3)-3x^3=1

Answers

Answer 1

1. Radius is changing at the rate of 0.00042cm/sec when the radius is 75cm.

2.The implicit differentiation to determine dy/dx of relation sin(2x^2y^3)-3x^3=1 is 9x² - 4xy³ cos(2x² y³) / 6x²y² cos(2x² y³)

1. a) check the image attached

r= radius

h=height

b) Volume of conical tank ,V = (1/3)πr²h

= (1/3)πr²(2r)

V = 2/3πr³

c) Rate of change of volume with respect to time is denoted as dV/dt

Rate of change of radius is denoted as dr/dt

d) V = 2/3πr³

dV/dt =  2/3π (3r²) dr/dt

dV/dt = 2πr²  dr/dt

e) Rate of change in volume, dV/dt = 15cm³ / sec  ,  r =75cm

∴ 15 = 2π(75)² .  dr/dt

dr/dt = 15 / (2π(75)²)

dr/dt = 15/35342.92

dr/dt = 0.00042 cm/sec

Radius is changing at the rate of 0.00042cm/sec when the radius is 75cm.

2. sin(2x² y³) - 3x³ = 1

Differentiating :

cos(2x² y³) [2x² y³dy/dt + 2y³ 2x] - 9x² = 0

6x²y² dy/dx . cos(2x² y³) + 4xy³ cos(2x² y³) - 9x² = 0

dy/dx = 9x² - 4xy³ cos(2x² y³) / 6x²y² cos(2x² y³)

Hence, the implicit differentiation to determine dy/dx of relation sin(2x^2y^3)-3x^3=1 is 9x² - 4xy³ cos(2x² y³) / 6x²y² cos(2x² y³)

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A Large Conical Tank Is Positioned So That Its Vertex Is Pointed Downward. Water Drains Out From A Hole

Related Questions

4.) 2x + 3y = 12
x + y = 5

Answers

Answer:

x = 3

and

y = 2

Step-by-step explanation:

Phone-Phriends charges $35 for a text-message plan with 250 text messages included. If the customer goes over the 250 messages, the cost is $0.14 per extra text message.

A customer sent and received 329 text messages last month. What are the total charges?

Answers

Answer:

Step-by-step explanation:

11.

Samuel prob please answer

Answers

The system of equation that is used to determine the number of cans of soup purchased and the number of frozen dinners purchased is 300x+450(x+5)=6000mg.

What is meant by linear equation?

A linear equation can be generated by equating a linear polynomial over some field with zero coefficients. The values that, when substituted for the unknowns, make the equality true are the solutions of such an equation. The phrase linear equation is frequently used to refer to this specific scenario, in which the variable is appropriately referred to as the unknown.

Each solution in the case of two variables can be regarded as the Cartesian coordinates of a point on the Euclidean plane. A linear equation's solutions form a line in the Euclidean plane, and every line can be seen as a set.

Sodium contains in a can of soup is 300mg

Sodium contains in a can of frozen dinners is 450mg

Let the number of cans of soup purchased be x

Then, the number of frozen dinners purchased=x+5

Total sodium purchased=6000mg

So, 300x+450(x+5)=6000mg

Therefore, the system is 300x+450(x+5)=6000mg

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480 people went to the Yellowstone National Park yesterday.
180 of them were children, and the remaining were adults.
What percent of the visitors at the park were adults?
%

Answers

Answer:

11

Step-by-step explanation:

In ACDE, M/C = (x-4)°, m/D = (9x + 4)°, and m/E = (2x + 12)°.
Find m/D.

Answers

Thus, in ΔCDE the m/∠D = 130⁰, which can be calculated using angle sum property of triangle.

What is triangle?

Triangle is derived from the Latin word triangulus, which means "three-cornered" or "having three angles," and is composed of the roots tri-, "three," and angulus, "angle or corner." Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.

Given that: In ΔCDE

m/∠C = (x-4)°

m/∠D = (9x + 4)°

m/∠E = (2x + 12)°

Now, to find m/∠D

So, We know that sum of internal angles of a triangle is equal to 180⁰ .Here, we are given a ΔCDE and all its three internal angles.

Putting the sum of all three equal to 180⁰:

∠C + ∠D + ∠E = 180⁰(x-4)°+ (9x + 4)°+ (2x + 12)°

= 180⁰12x +12

= 180⁰x +1 = 15⁰

x = 14⁰

Thus, Putting value of x in m/∠D = (9x + 4)°.

m/∠D = (9 × 14 +4)⁰

m/∠D = 130⁰

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The complete question is as follows:

In ΔCDE, m ∠ C = ( x − 4 ) ∘ m∠C=(x−4) ∘ , m ∠ D = ( 9 x + 4 ) ∘ m∠D=(9x+4) ∘ , and m ∠ E = ( 2 x + 12 ) ∘ m∠E=(2x+12) ∘ . Find m ∠ D.

express 8 3/5 in simplest radical form

Answers

Answer:  

5 radical 8 to the power of 3

Step-by-step explanation:

if the flow rate in an artery has been reduced to 12% of its normal value by a blood clot and the average pressure difference has increased by 22%, what percent of the original is the radius of the reduced artery?

Answers

The percentage by which the radius of the artery reduces is 1.44% of original radius.

According to Poiseuille’s law, we got that  there is relation between radius, length, average pressure  for blood which is flowing in our body and that relation is  is given by

Q = ((P₂-P₁)πr⁴) /(8ηl)

where Q is flow rate

P is the pressure

r is the radius of the artery

η is the viscosity

Now,we have given that Flow rate is reduced by 12%,new flow rate is 88% of normal value.

Also, we have also given that pressure is increased by 22%,so new pressure is 122% of initial value,

therefore Q = ((P₂-P₁) × π × r⁴) /(8ηl)

=>(Q-12Q/100)=[((122 / 100) × P₁-P₁) × π × r₂⁴] / (8ηl)

=>(88 / 100)Q=(22 / 100)×(P₁ × π × r₂⁴)/(8ηl)

=>(88/22)Q=(P₁ × π × r₂⁴)/(8ηl)

=>[[4 × (8ηl)] × Q]/ (P₁ × π)=r₂⁴

=>4r₁ =r₂⁴

=>r₂=√2r₁

or r₂=1.44% of original radius.

Hence, by 1.44% radius of artery would reduce.

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Find the distance between the two points.
(3,2)
(3,0)
✓ [?]
Enter the number
that goes beneath the
radical symbol.
Enter
4

Answers

Answer:

[tex] \Large{\boxed{\sf d = \sqrt{40} }} [/tex]

[tex] \\ [/tex]

Explanation:

The distance between two points is given by the following formula:

[tex] \Large{\sf d = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}} [/tex]

Where:

d is the distance between the points.[tex] \sf (x_A \: , \: y_A) [/tex] and [tex] \sf (x_B \: , \: y_B) [/tex] are the coordinates of the points.

[tex] \\ [/tex]

First, let's identify our values:

[tex] \sf (\underbrace{\sf -3}_{\sf x_A} \: , \: \overbrace{\sf 2}^{\sf y_A}) \: \: and \: \: (\underbrace{\sf 3}_{\sf x_B} \: , \: \overbrace{\sf 0}^{\sf y_B}) [/tex]

[tex] \\ [/tex]

Now, substitute these values into our formula:

[tex] \sf d = \sqrt{\sf (3 - (-3))^2 + (0 - 2)^2} \\ \\ \sf d = \sqrt{\sf 6^2 + (-2)^2} \\ \\ \sf d = \sqrt{\sf 36 + 4 } \\ \\ \boxed{\boxed{\sf d = \sqrt{40} }} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

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WILL GIVE BRAINLEST! AND 20 POINTS!

Answers

The relationship is not proportional because the number of used bottles increases more. Option B

What is a proportional relationship?

A relationship is said to be proportional when the two variables that are in question are either increasing or decreasing at the same rate. It could also be that one one quantity is increasing and the other is  decreasing.

If we look at the proportionality in the proper sense of it, there appears to be no relationship between the two variables as the number of used bottles is increasing at a much higher rate than the number of bottles that is recycled.

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plsss don't pickk E
...................................

Answers

Answer:

answer is c!

because it's domain is -7!!

Help me please :) thank you

Answers

Answer:

a=90°

c=45°

b=45°

Step-by-step explanation:

this triangle is a right triangle. (shown by the box in angle a) this means a must equal 90°

and by extension means the other two angles have to equal 45° each because right angles always have two angles of the same degree and the angles of a triangle always Equal 180°

Easy! Sorry about the hand writing. Some of the steps are bit wonky but it’s the right answer I believe.

describe how nonresponse might lead to bias in this survey. does the stated margin of error account for this possible bias?

Answers

The margin of error does not take into account the bias caused by nonresponse.

What is nonresponse bias?

The phenomenon known as participation bias, also known as non-response bias, occurs when a disproportionate number of participants have certain characteristics that have an impact on the results of surveys, polls, and other types of research.

Nonresponse bias happens when a portion of the sample's respondents fail to respond. The main distinction in this instance is that the error arises from a lack of respondents rather than the collection of false data.

Usually, the number of responses is used to calculate the margin of error. You can treat a sample from a finite population as infinite if the sampling fraction is small, but if the sampling fraction is high (say, more than 10% of the population size), you must make a finite population correction.

So, the non-response bias is not taken into account by the margin of error.

Longer commuters might take less time to complete a survey.

This would result in our estimate from the sample being lower than the actual mean travel time to work.

Hence, the margin of error does not take into account the bias caused by nonresponse.

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Planet A has a mass of 6 x 10^28 kilograms. Planet B has a mass of 8 x 10^25 kilograms. Choose which planet has the lager mass. Then fill in the blank with a number written in scientific notation.

Answers

Answer:

Step-by-step explanation:

Planet A has a mass of 8× 10²5 kilograms. Planet B has a mass of 6×10 kilograms. Choose which planet has the larger mass. Then fill in th blank with a number written in standard notation. Planet A has the larger mass. The mass of Planet A is times as large as the mass of Planet B. O Planet B has the larger mass. $0 times as large as the mass of Planet A.

Answer:

10

Step-by-step explanation:

im him trust

the unemployment rate does not reflect the true extent of the unemployment problem. which of the following groups is not counted as unemployed in the official unemployment statistics?

Answers

Groups not counted as unemployed in the official unemployment statistics are the underemployed and discouraged workers.

A discouraged worker is someone who can work and is qualified for employment but is not already working and has not looked for work in the past four weeks. Discouraged workers typically have given up looking for work because they have discovered no relevant employment possibilities or have not been successful in getting a job after applying.

Discouragement among employees has a wide range and complex root causes. Because they lack the skills to deal with technological change at work, workers occasionally leave the workforce. During the Great Recession, the manufacturing industry let go of senior workers who were unable to operate the modern computer numeric control (CNC) equipment, which was used to cut wood and other hard materials.

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Mya saved
$
640
for food for her family’s upcoming vacation. Breakfast is included with the hotel, but lunch and dinner are not. When Mya cooks lunch or dinner it costs, on average,
$
16
. When the family goes to a restaurant for lunch or dinner it costs, on average,
$
63
. Let
c
represent meals that Mya cooks and let
r
represent meals the family eats at a restaurant. Write an inequality to represent the situation.

Answers

The inequality to represent the situation is 16c + 63r ≤ 640.

What is simple inequality?

Mathematical expressions with simple inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given, total saving = $640

Mya cooks lunch or dinner = $16

restaurant for lunch or dinner = $63

For c meals that Mya cooks = 16c

For r meals, the family eats at a restaurant = 63r

Total cost = 16c + 63r

Based on conditions, 16c + 63r ≤ 640

Hence, the inequality representing the situation is 16c + 63r ≤ 640.

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The graph below shows the number of hours Dario
worked and the amount he earned.
DARIO'S EARNINGS
Earnings (in dollars)
100
90
80
70
60
30
20
10
(2, 24).
Review / End Test
(5, 60)
0 1 2 3 4 5 6 7 8 9 10
Time (in hours)
Flag
(8, 96)
Options
V
What was Dario's hourly wage?
A $10
B
$12
(C) $24
D $54

Answers

Answer:

Step-by-step explanation:

B.

One karaoke location, Singing Star, is charging $20 for 10 songs. Construct a graph to model the relationship between cost and number of songs.

Answers

A graph to model the proportional relationship between cost and number of songs is shown in the image attached below.

How to construct the required graph?

Mathematically, a proportional relationship and the constant of proportionality can be represented or modeled with the following equation or mathematical expression:

y = kx

Where:

x represents the cost in dollars.y represents the number of songs.k represents the constant of proportionality.

Next, we would determine the constant of proportionality (k) for a song as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 10/20

Constant of proportionality (k) = 0.2

Therefore, an equation for any number of song for this karaoke is given by:

y = 0.2x.

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what is the answer i need answers now

Answers

The answer is option A

How would I prove that RTP is congruent to JKO by SAS?

Answers

When two pairs of corresponding sides and the corresponding angles between them are congruent, the triangles are congruent.

How do you prove that something is congruent in SAS?

Side-Angle-Side (SAS) Rule

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.SAS theorem of congruence: The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle, then the two triangles are congruent.Using words: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF.

The proof by S A S congruence rule is given below.

Given from fig, JK || LM.

And JK = LM

Since JK is parallel to LM and JN is a transversal so the angle made on the same side of JN are corresponding angles which are equal to each other.

So, angle KJL = angle MLN........equation 1

Also given L is the midpoint of JN so, JL = NL.....equation 2

Now, in triangle JLK and triangle LNM

JK = LM (given)

angle KJL = angle MLN (from 1)

JL = NL (from 2)

So by S A S congruence rule, triangle JLK conguent triangle LNM proved.

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the typing speeds for the students in a typing class is normally distributed with mean 44 (μ) words per minute and standard deviation 6 (σ) words per minute. what is the probability that a randomly selected student has a typing speed of less than 38 words per minute? use the empirical rule provide the final answer as a percent. if necessary round the percent to the nearest whole number.

Answers

The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

What is normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

The formula for z-score is z = (x -μ)/σ

Where,

Z is standard score.

x is observed value.

μ is mean of the sample.

σ is standard deviation of the sample.

According to the given question.

The mean of the distribution is μ = 44

The standard deviation of the distribution is σ = 6

The observed value is x = 38

Therefore, z-score = (38 -44)/6 = -1

So, the are P(z > -1) = 15.87%

Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

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a credit card company surveys its customers to determine the number of times they use the card each month. there are 5,500 customers and 2,756 indicate that they use the card at least twice each month. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n

Answers

The standard deviation of the sampling w would be 0.06.

What is a standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a larger range.

Population proportion

                         [tex]p=\frac{2756}{5500} \\\\\\p=0.501091\\\\p=0.501[/tex]

The mean of the sampling distribution for samples of size n=70 customers = 0.501

The standard deviation of the sampling distribution for samples of size n=70 customers is

                         [tex]=\sqrt{\frac{p* (1-P)}{n}} \\\\=\sqrt{\frac{ 501091(1-0.501091) }{2}}\\\\ = 0.059761 \\\\=0.06[/tex]

Hence, the standard deviation of the sampling w would be 0.06.

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Question
The points in the table lie on a line. Find the slope of the line.

Answers

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{4 }{7 +3} \implies \cfrac{ 4 }{ 10 } \implies \cfrac{2 }{ 5 }[/tex]

a conducting sphere of radius r is connected to ground through a battery with a voltage vo as shown. a. assuming ground is at infinity, find the net charge on the sphere. the sphere is disconnected from the battery, and a thick shell of a neutral, polarizable material is placed around the sphere. b. on the diagram, sketch vectors to indicate the direction of the polarization density in the shell. where do positive and negative bound charges appear? explain. c. consider a point inside the polarizable shell. at this point, is the magnitude of the net electric field greater than, less than, or equal to the magnitude of the electric field before the shell was added? explain. consider a point outside the shell. at this point, how does the magnitude of the electric field with the shell compare to before the shell was added? explain. d. is the electric potential difference between the sphere and ground in this case greater than, less than, or equal to the electric potential difference before the shell was added? explain. the sphere is re-connected to the battery with the shell still attached. e. will the total amount of charge on the sphere change? explain why or why not. f. does adding this polarizable shell change the capacity of the sphere to hold charge? explain.

Answers

when the charged rod is brought closer to the sphere negative charges get induced on the sphere by gathering some electrons from the ground and the negative  remain on the sphere even after disconnecting it.

here the ground acts as a reservoir of electrons.a conducting sphere of radius r is connected to ground through a battery with a voltage vo as shown. a. assuming ground is at infinity, find the net charge on the sphere. the sphere is disconnected from the battery, and a thick shell of a neutral, polarizable material is placed around the sphere.

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you need to buy some chicken for dinner tonight. you found an ad showing that the store across town has it on sale for $3.19 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.59 a pound. is it worth the extra drive? first, determine what information you need to answer this question, then click here to display that info (along with other info). how much chicken will you be buying? 3 pounds how much far are the two stores? my neighborhood store is 2.1 miles away, and takes about 7 minutes. the store across town is 8.5 miles away, and takes about 23 minutes. how kind of mileage does your car get? it averages about 19 miles per gallon in the city. how many gallons does your car hold? about 17 gallons how much is gas? about $3.83/gallon right now. going to the close store is cheaper going to the further store is cheaper the cheaper option saves you $

Answers

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.09.

Given:

Price or sale = $3.19 a pound

1.) Neighborhood store

Distance = 2.1 miles away

As, the car averages about 19 miles per gallon,

=2.1 miles / (19 miles/gallon)

= 0.1105 gallons of gas < 17 gallons

The gas is about $3.83/gallon, then the cost be

=0.1105 gallons x ($3.83/gallon)

= $0.42

The chicken is sold for $3.59 a pound, and you need 3 pounds, then you would pay:

= 3 pounds x ($3.59/pound)

= $10.77

So, the total is

= $0.42 (gas) + $10.77 (chiken)

= $11.19

2.) Store across town

Distance = 8.5 miles away

The car averages about 19 miles per gallon, then you would need:

=8.5 miles / (19 miles/gallon)

= 0.447 gallons of gas < 17 gallons

The gas is about $3.83/gallon, then the gas would cost:

=0.447 gallons x ($3.83/gallon)

= $1.71

The chicken is sold for $3.19 a pound, and you need 3 pounds, then you would pay:

= 3 pounds x ($3.19/pound)

= $9.57

The total cost

= $1.71 (gas) + $9.57

= $11.28

Thus, $11.19 < $11.28, then it is worth the extra drive.

Hence, cheaper option saves you= $11.28 - $11.19 = $0.09

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A person weighing 150 pounds burns about 320 calories per hour walking at a moderate rate. Suppose the same person burns about 1500 calories per day through basic activities. The total calories y burned by that person can be represented by the equation y=320x+1500, where x represents the number of hours spent walking. What is the slope and y- intercept​

Answers

The slope of the equation and y- intercept​ is 320 and 1500 respectively.

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Given that the total calories y burned by that person can be represented by the equation y=320x+1500, where x represents the number of hours spent walking.

To find the slope and y- intercept​.

y=320x+1500

Therefore, the slope of the line is;

m =320

Then the y- intercept is 1500

Hence, The slope of the equation and y- intercept​ is 320 and 1500 respectively.

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5. Find the measure of each angle in the figure below.
Lines are named with the capital letter; angles are named with the lower case letter.
B
A a
e d
C

Answers

The measure of each angle are mentioned below

What is angle ?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of each angle is

∠a = 90°

∠b = 45°

∠c = 45°

∠d = 90°

∠e = 45°

∠f = 45° {coordinate judgment angle }

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Which of the following lines have the greatest slope? EXAM DUE IN 20 MINUTES!!

Answers

the steepest line the greater the slope. so the one going from top to bottom

Laptop computers are measured according to the diagonals of their screens.
8 in.
19 in.
A(n) 19-inch laptop has a screen that is 8 inches tall. How wide is the screen?
Round your approximation to 2 decimal places.

Answers

Check the picture below.

لیا
The prism below is made of cubes which measure 1/4 of a centimeter on one side. What is the volume?

Answers

Answer:

Below

Step-by-step explanation:

You didn't include the picture......

each cube has a volume of  1/4 * 1/4 * 1/4 = 1/64 cm^3

     count the total number of cubes and multiply by  1/64

                                         to get volume in cm^3

Consider the figure shown below. Find the value of each variable mentioned in the figure below​

Answers

a = 26, b = 64, c = 42

-------------------

The measure of an inscribed angle is half the measure of the intercepted arc:

a = 52/2 = 26,c = 84/2 = 42.

Angles a and b sum to a right angle since inscribed between the tangent and diameter.

Then we have:

a + b = 9026 + b = 90b = 90 - 26b = 64

Other Questions
Choose the option that best matches the description given.The Bill of Rights applies to the states through this amendment: A linear regression assumes a. no relationship between X and Y b. a linear relationship between X and Y c. Unequal variance d. a negative relationship between X and Y AnswerGiven:The thermal energy added to the system is Q = 90 JThe work done by the system on the surroundings isW = 30 JTo find the change in internal energy.Explanation:According to the first law of thermodynamics, thechange in internal energy can be calculated by theformulaAU = Q-WOn substituting the values, the change in internal en...AU -90-30= 60 JFinal Answer: The chage in internal energy is 60 J(option D)EdemT260579. BeginnerClick to let others know, how helpful is it...Q which of the following medication routes has the slowest rate of absorption? question 6 options: a) oral b) rectal c) inhalation d) sublingual a gerbil is fed a normal diet including 14c-lysine. after a period of time on this diet biopsies are taken from several tissues and analyzed for radioactivity. 14c is detected in glycogen from muscles and liver, triglycerides from adipose tissue, and nucleic acids isolated from all tissues. in as much detail as you can, show how the radioactivity from an amino acid found its way into these other classes of biopolymers. Find the volume of the solid obtained by revolving equilateral triangle of side length 2 around one of its sides. Sketch a diagram and indicate which method you are using: Washer Method Shell Method describe the process of observational learning and banduras findings on what determines whether we will imitate a model when groups of workers receive a portion of the financial return from reducing costs and improving productivity, this is called: what is one of the reasons noted in our textbook that print versions of employee publications will continue to be used? derek bought a pick-up truck to transport his equipment to fishing tournaments. he also bought a pick-up for his lawn maintenance business. his purchases were: if zero is included in a confidence interval for paired data, what does this mean about the average difference? An infant who weighed 8 lbs at birth should weigh ____ lbs on his first birthday. mackey and o'brien reported in their study of lasting marriages that 68 percent of their respondents identified their communication as positive: which aspect of parent-adolescent communication about sex is likely to have a meaningful effect on the adolescent's behavior? which of the following components are the siem's way of letting the it team know that a pre-established parameter is not within the acceptable range? a store has the following demand figures for the last four years: year demand 1 100 2 150 3 98 4 112 with a three-year moving average, what is the demand forecast for year 4? problem: report error alice and bob each have a certain amount of money. if alice receives $n$ dollars from bob, then she will have $4$ times as much money as bob. if, on the other hand, she gives $n$ dollars to bob, then she will have $3$ times as much money as bob. if neither gives the other any money, what is the ratio of the amount of money alice has to the amount bob has? a client at 30-weeks gestation, complaining of pressure over the pubic area, is admitted for observation. she is contracting irregularly and demonstrates underlying uterine irritability. vaginal examination reveals that her cervix is closed, thick, and high. based on these data, which intervention should the nurse implement first? a child has chickenpox. the parent asks how to care for the lesions. what should the nurse tell the parent? s cl2 2h2oh2s 2hclo in the above reaction, the oxidation state of sulfur changes from to . how many electrons are transferred in the reaction?