A circle has a center at C(2,7). The point A(8,17) lies on the circle. Which of the
following is the slope of the tangent to the circle at point A?

Answers

Answer 1

The slope of the tangent to the circle at point A is -3/2.

1. The equation of a circle with center C(2, 7) is given by (x - 2)² + (y - 7)² = r², where r is the radius of the circle.

2. Since point A(8, 17) lies on the circle, we can substitute the coordinates of point A into the equation of the circle to find the value of r.

  (8 - 2)² + (17 - 7)² = r²

  6² + 10² = r²

  36 + 100 = r²

  136 = r²

  r = √136 = 2√34

3. Now that we have the radius, we can find the equation of the tangent line at point A.

  The tangent to a circle at a given point is perpendicular to the radius at that point.

  The slope of the radius can be found using the coordinates of the center and point A.

  Slope of the radius = (17 - 7) / (8 - 2) = 10 / 6 = 5/3

  The slope of the tangent line will be the negative reciprocal of the slope of the radius.

  Slope of the tangent = -1 / (5/3) = -3/5

4. However, the question asks for the slope of the tangent to the circle at point A, so we need to consider the slope of the tangent line at point A, which is the negative inverse of the slope of the radius.

  Slope of the tangent at point A = -1 / (5/3) = -3/5

5. The slope of the tangent to the circle at point A is -3/5.

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Related Questions

A bottle holds 750 milliliters of iced tea.
I fluid ounce 30 milliliters
Approximately how many fluid ounces of iced tea does the bottle hold, rounded to the nearest whole number?

Answers

The number of fluid ounces of iced tea does the bottle hold is 25.

Given that, a bottle holds 750 milliliters of iced tea.

1 fluid ounce has 30 milliliters.

Here, the number of fluid ounces = Total quantity of iced tea/Quantity of fluid in a fluid ounce

= 750/30

= 25

Therefore, the number of fluid ounces of iced tea does the bottle hold is 25.

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Haley try to solve the equation log⇩4 2x=5. She got the wrong answer. What was her mistake? What should the correct answer be?

Help DUE! ASAP HELP ASAP

Answers

Answer:

Step-by-step explanation:

[tex]log_{4}2x = 5 \\2x = 4^5\\2x = 2^{10}\\x = \frac{2^{10}}{2}\\ x = 2^9\\x = 512[/tex]

Mistake is in step - 3 .

(−3+x)=kx+9

what does x=

Answers

Answer:

Step-by-step explanation:

he correct answer for the domain of function p(x) is:

Domain: [1, ∞)

This means that x can take any value greater than or equal to 1, including 1 itself. The square root function (√x) is defined for non-negative real numbers, so x must be greater than or equal to 0. In this case, since we have √x - 1 in the function, x must be greater than or equal to 1 to avoid a negative value under the square root. Additionally, there are no other restrictions on the domain, so any value of x greater than or equal to 1 is allowed.

Find a and b such that f(x) can be written as f(x) = (x +a) (5) 3 −b

Answers

The value of variables a and b are,

a = - 4,

b = - 2

WE have to given that;

Function is,

⇒ f (x) = x³ - 12x² + 48x - 62

Now, We can simplify for change the function in the form of

f (x) = (x + a)³ + b as;

⇒ f (x) = x³ - 12x² + 48x - 62

⇒ f (x) = x³ - 12x² + 48x - 62 - 2 + 2

⇒ f (x) = (x - 4)³ + 2

Hence, We get;

By comparing we get;

a = - 4,

b = - 2

Thus, The value of variables a and b are,

a = - 4,

b = - 2

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Find the value of 3a when a = -4.
(b)- 7
(d) -12
(a) 7
(c) 12​

Answers

Answer:

(d) -12

Step-by-step explanation:

3a = _____

a = -4

3(-4) = ___

3(-4) = -12

The answer is (d) -12

A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 22% and 32% of the residents supports the plan. What is the margin of error on the survey? Do not write ± ± on the margin of error.

Answers

Answer:

[tex]\Huge \bold{\boxed{\boxed{\text{5\%}}}}[/tex]

Step-by-step explanation:

To calculate the margin of error for the survey, we need to use the formula:

[tex]\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}[/tex]

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

[tex]\large \text{Range of values = 32\% - 22\% = 10\%}[/tex]

Substituting this value into the formula, we get:

[tex]\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}[/tex]

Therefore, the margin of error on the survey is 5%.

a) Write a direct variation equation that represents the situation of a group of snow geese migrating 375 miles in 7.5 hours.
C
b) Every year geese migrate 3,000 miles from their winter home in the southwest United States to their summer home in the Canadian Arctic. How many hours of
flying time does it take the geese to migrate? (Use your equation from part a)

Answers

Answer:f=60a(60)

hope this helps bye

What is the slope below

Answers

Answer: -5/4

Step-by-step explanation:

Need help with this question

Answers

The height d as shown in the right angled triangle is 4.95.

What is height?

Height is the vertical distance between two points.

To calculate the height d as shown in the right angled triangle, we use the formula below

Formula:

d = hcos∅.............. Equation 1

From the diagram in the question,

Given:

h = 7∅ = 45°

Substitute these values into equation 1

d = 7cos45°d = 7×0.7071d = 4.95

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A certain airline requires that carry-on luggage is designed to fit within a rectangular prism with a length of 22 inches, a height of 14 inches, and a width of 9 inches. What is the maximum possible volume of a piece of carry-on luggage?

Answers

The maximum possible volume for a piece of carry-on luggage is given as follows:

2772 cubic inches.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

22 inches, 14 inches and 9 inches.

Hence the volume is given as follows:

22 x 14 x 9 = 2772 cubic inches.

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Solve the system of equations using elimination. 6x + 6y = 36 5x + y = 10 (1, 5) (2, 0) (3, 3) (4, 2)

Answers

Answer:

begin equation begin cases x = 1y = 5 end cases end equation. Rearrange like terms to the same side of the equation

Step-by-step explanation:

begin equation begin cases x = 1y = 5 end cases end equation. Rearrange like terms to the same side of the equation

An investment of $2000 is put in account that earns 4% interest, compounded quarterly. Find the amount of money, rounded to the nearest dollar, in the account after
8 years.
Use the formula A = P(1+r/n)^nt to help you find the answer.

Answers

Answer: $275

Step-by-step explanation:

How many fewer people in the 18-25 year age group have
some form of technology career compared to all other
age groups combined?
Technology Career types for
different age groups (as a number)
41+ yrs
36-40 yrs
26-35 yrs
18.25
690
782
1.784
1673
24312
3.215
2.709
3.567
4.673
14326
15,822
Please select the correct answer from the options
shown.

a. 26,191
b. 28,345
c. 30,139
d. 33,469

Answers

Given statement solution:- The fewer people in the 18-25 year age group result is negative, it indicates that the 18-25 year age group has more people with some form of technology career than all other age groups combined. None of the options provided (a, b, c, d) are correct.

To find the number of fewer people in the 18-25 year age group with some form of technology career compared to all other age groups combined, we need to sum up the technology career numbers for all age groups except the 18-25 year age group and then subtract it from the number for the 18-25 year age group.

Sum of technology career numbers for age groups other than 18-25 years:

(41+ yrs) + (36-40 yrs) + (26-35 yrs) = 24312 + 3.215 + 2.709 = 24318.924

Number of fewer people in the 18-25 year age group compared to all other age groups combined:

1673 - 24318.924 = -22645.924

Since the fewer people in the 18-25 year age group result  is negative, it indicates that the 18-25 year age group has more people with some form of technology career than all other age groups combined. Therefore, none of the options provided (a, b, c, d) are correct.

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What two whole numbers does sqrt 3 11 lie between

Answers

The third root of 11 lies between the whole numbers 2 and 3.

How to estimate a non-exact square root?

The estimate of a non-exact root of x is done finding two numbers, as follows:

The greatest number less than x that is a perfect root, which we call a.The smallest number greater than x that is a perfect root, which we call b.

The number for this problem is given as follows:

Cubic root of 11.

For the parameters, we have that:

The cube of 2 is of 2³ = 11.The cube of 3 is of 3³ = 27.

Hence the third root of 11 lies between 2 and 3, as 2³ < 11 < 3³.

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In the equation, y = 2 sin
000
A
B
с
O
1
x, which statements are true? Select all that apply.
2
The period is 4π
The amplitude is 2
The period is
1
2
76
The amplitude is-
2

Answers

The period of the function is 4π, and the amplitude is 2.

Given data ,

Let the function be represented as f ( x ) = y

Now , the value of f ( x ) is

y = 2sin ( 1/2 )x

To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).

In this case, the amplitude (A) is 2.

The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.

To find the period, we can use the formula:

Period = (2π) / |B|.

B = 1/2.

Period = (2π) / |1/2|

P = (2π) / (1/2) = 2π * 2/1 = 4π

Hence , the period of the function is 4π, and the amplitude is 2.

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Se está construyendo una escalera que inicia a 4.10 m para alcanzar una altura de 2.35 m calcular la longitud de la escalera y cual es su ángulo de elevación 0 .

Answers

The length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.

Using the Pythagorean theorem:

Length of the ladder = √(height² + horizontal distance²)

= √(2.35² + 4.10²)

= √(5.5225 + 16.81)

= √22.3325

≈ 4.72 meters

To calculate the angle of elevation (θ), we can use the trigonometric function sine:

sin(θ) = height / length of the ladder

θ = arcsin(height / length of the ladder)

θ = arcsin(2.35 / 4.72)

θ ≈ 30.4 degrees

Therefore, the length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.

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The Translation of given question is:

A ladder is being constructed that starts at 4.10 m and reaches a height of 2.35 m. Calculate the length of the ladder and its angle of elevation.

1. Explain and illustrate the difference between and (4) 2. Explain and illustrate the difference between ratio and proportional reasoning. Do not copy definitions from any source but use your own understanding. (4) 3. Illustrate with a drawing or diagram what "fifth" means in each of the following instances: ordinal number unit fraction 4. Show with a diagram 3, using the following: 1.1 the area model 1.2 set mode 1.3 the length model (3) 2. A rectangular piece of paper has a perimeter of 54 cm. Its length is 1 of its width. Find its dimensions. (3) 3. If the given regular hexagon represents one whole: 3.1 Show three sixths. 3.2 Write the equivalence 6.1 above. Represent in the figure given to prove that a set of two halves 3 3 + 6 6 make a whole. 6.3.1 Draw a number line showing a whole made of six equal parts. Show the sum of two halves on the same number line. 6.3.2 Show how you would teach equivalence to grade 4 learners using the number line provided. Your focus should be on the Preparatory MTE1502/102/0/2023 strategy in 5.2 in your study guide. Follow the steps and show how you would unpack the process to solve the problem given. 3 10 of her birthday cake and ㅈ the cake was bought for the birthday? 7.2What fraction is missing to make the cake whole? 7.1 Mavis ate ate of it. What fraction of (4) (1) (1) (2) (3) (3) (2) (2) 3 3/6​

Answers

The difference between 1/5 and 2/10 is that they are different representations of the same value.

The ratio is a comparison of two quantities while proportional reasoning involves finding an equivalent ratio.

"Fifth" can refer to the ordinal number of a position or the unit fraction 1/5.

The diagram can be used to illustrate fraction concepts.

How to solve

1/5 is simple, but 2/10 can be reduced to 1/5 by dividing both numbers by 2. They are both 0.2 or 20%. 1/5 and 2/10 are different fractions with different purposes.

Use 1/5 for 5 parts and 1/5 (simplified from 2/10) for 10 parts. 1/5 and 2/10 = 0.2, ratio reasoning emphasizes ratios between quantities. A 2:3 boys-to-girls ratio compares the constant ratio between changing quantities.

Proportional reasoning maintains constant ratios between quantities, while ratio reasoning uses fractions or ratios to compare relationships. For instance, if distance doubles, so does speed.

Step 3/5: "Fifth" is the ordinal number for the object five places away in a sequence. See diagram. The fifth circle is 1/5 of a whole in unit fraction sequence. Imagine a rectangle divided into five equal parts, each shaded to show 1/5. Shaded part = 1/5 of whole.

To show 25/7 with area model, make 7x25 rectangle and split into 7 equal parts. 25/7 per part.

1.2 The set model:

To represent 25/7, divide 25 objects into 7 equal sets, resulting in 3 objects per set with 1 left over. This represents the fraction of 25/7.

1.3 The length model:

To show 25/7 on a length model, draw a line of 25 units and divide it into seven equal parts. Each part represents 1/7 or 25/7.

Step 5/5

Let's assume the width of the rectangular piece of paper as x cm. Then the length of the paper would be:

Now we know that the perimeter of the rectangle is given by the formula:

So, for this rectangle:

54 = 2(5x + x)

Simplifying and solving for x, we get:

54 = 2(6x)

27 = 6x

x = 4.5 cm

Therefore, the width of the paper is 4.5 cm and the length is 5 times the width which is 22.5 cm.

The difference between 1/5 and 2/10 is that they are different representations of the same value.

The ratio is a comparison of two quantities while proportional reasoning involves finding an equivalent ratio.

"Fifth" can refer to the ordinal number of a position or the unit fraction 1/5.

The diagram can be used to illustrate fraction concepts.

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Help please!! Thank youuuuu!!!
I’ll give brainliest if you show work as well.

Answers

The value of x from given parallel lines is 2.

In the given figure, three lines are parallel and two lines are passing through.

When three or more parallel lines are cut by two transversals, the line segments formed are proportional.

That is, 2x/x = (x+4)/(4x-5)

2/1 = (x+4)/(4x-5)

2(4x-5)=1(x+4)

8x-10=x+4

8x-x=4+10

7x=14

x=2

Therefore, the value of x from given parallel lines is 2.

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Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?

No. There are x values which map to more than 1 y-value.

Yes. Every y-value maps to exactly 1 x-value.

No. There are y-values which map to more than 1 x-value.

Yes. Every x-value maps to exactly 1 y-value.

Answers

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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name miles hours
doug 28 2.3
primo 34 2.1
Camillo 57 1.4
Bryan 49 1.2

The table above shows the number of miles driven by four drivers and the number of hours each person drove. Which person drove the fastest?

Answers

Answer: Bryan drove the fastest.

Step-by-step explanation: To find out who drove the fastest, we need to calculate the speed of each person. Speed is given by the formula distance/time.

For Doug:

Speed = 28 miles / 2.3 hours = 12.17 miles/hour

For Primo:

Speed = 34 miles / 2.1 hours = 16.19 miles/hour

For Camillo:

Speed = 57 miles / 1.4 hours = 40.71 miles/hour

For Bryan:

Speed = 49 miles / 1.2 hours = 40.83 miles/hour

can everyone help idek how to do this?

Answers

The perimeter of the tri9angle MNO is P = 58 units.

How to find the perimeter of the triangle?

The perimeter of the triangle is equal to the sum of the lengths of the sides, we know that:

OM = 23

NM = 18.4

To find the missing side we can use the similar triangle that we have next to it.

We can see that that OM is correspondent to LJ

Then if the scale factor between the triangles is K, we can write:

18.4  = 10*K

18.4/10 = K = 1.84

Now, NO is correspondent to KL, then:

NO = 1.84*9

NO = 16.6

Then the perimeter is:

P = 16.6 + 23 + 18.4

P = 58 units.

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A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.6 inch and a height of 2.4 inches. How many total square inches of gift wrap will the makeup artist need to wrap 3 lipsticks? Leave the answer in terms of π.

9.04π square inches
10.8π square inches
11.3π square inches
14.4π square inches

Answers

The number of square inches or area of gift wrap that the makeup artist will need is 10.8π square inches.

Given that,

A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap.

Radius of each lipstick = 0.6 inch

Height of the lipstick = 2.4 inches

Now,

Area of the each lipstick = 2πrh + 2πr², where r is the radius and h is the height.

Area = 2π (0.6) (2.4) + 2π (0.6)²

        = 2.88π + 0.72π

        = 3.6π

Area of the wrap for 3 lipsticks = 3 × 3.6π = 10.8π square inches.

Hence the area is 10.8π square inches.

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Please help and thank you so much

Answers

Answer:

SSS∆KLM ~ ∆UTS

Step-by-step explanation:

You want to know the postulate used to declare the triangles similar, and the corresponding similarity statement.

Side ratios

The side length ratios of the larger triangle are ...

  45 : 63 : 90 = 5 : 7 : 10 . . . . . divide by 9

For the smaller triangle, they are ...

  25 : 35 : 50 = 5 : 7 : 10 . . . . . divide by 5

The ratios of the three side lengths are the same, so the triangles are similar by the SSS postulate.

Similarity statement

One triangle is designated as ∆KLM. In terms of (reduced) ratio units, the sides in order are ...

  KL = 10, LM = 7, MK = 5

The corresponding sides in the smaller triangle are ...

  UT = 10, TS = 7, SU = 5

This means the similarity statement must be written as ...

  ∆KLM ~ ∆UTS . . . . . . matches the last choice

__

Additional comment

It is generally helpful to list the sides in some recognizable order (here, longest to shortest) so that the correspondence is clear.

<95141404393>

Precalc question below.

Answers

The number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.

We have,

To determine the number of additional copies you could ship if you ordered 128 copies instead of 127 copies, we need to compare the costs of ordering each quantity using the given function C(n).

For n = 127:

C(127) = $6.91 x 127 = $878.57

For n = 128:

C(128) = $5.16 x 128 = $660.48

By subtracting the cost of ordering 127 copies from the cost of ordering 128 copies, we can determine the cost difference:

Cost difference = C(128) - C(127)

= $660.48 - $878.57

= -$218.09

Since the cost difference is negative, it means that ordering 128 copies is cheaper than ordering 127 copies.

However, the question asks for the number of additional copies, so we need to consider the whole number of copies.

Rounding down to the nearest whole copy, the number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.

Thus,

The number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.

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Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.

Answers

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

What is the answer???

Answers

Answer:

2ab(b + 4 - 3a)

Step-by-step explanation:

a^2b + 2ab^2 + 8ab - 7a^2b

= 2ab^2 + 8ab + a^2b - 7a^2b

= 2ab^2 + 8ab - 6a^2b

= 2(ab^2 + 4ab - 3a^2b)

= 2a(b^2 + 4b - 3ab)

= 2ab(b + 4 - 3a)

find the expected value of the winnings from a game that has the following payout I cannot proceed without your help :)

Answers

The expected value of the winnings from the game is $3.24.

To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.

Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)

Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20

Expected Value = 3.24

Therefore, the expected value of the winnings from the game is $3.24.

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How could you estimate the extra cost per month of borrowing $50,000 for 30 years at 11% instead of 10%?

Answers

Borrowing $50,000 for 30 years at 11% instead of 10% would result in an extra cost of approximately $44.63 per month.

To estimate the extra cost per month of borrowing $50,000 for 30 years at 11% instead of 10%, you can follow these steps:

Calculate the monthly payment for each interest rate:

The formula to calculate the monthly payment for a fixed-rate loan is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M is the monthly payment,

P is the principal amount (loan amount),

r is the monthly interest rate (annual interest rate divided by 12),

n is the total number of monthly payments (number of years multiplied by 12).

Let's calculate the monthly payment at 10% interest rate first:

P = $50,000

r = 10% / 100 / 12 = 0.0083333 (monthly interest rate)

n = 30 years * 12 = 360 (total number of monthly payments)

M1 = $50,000 * (0.0083333 * (1 + 0.0083333)^360) / ((1 + 0.0083333)^360 - 1)

Calculate the monthly payment at 11% interest rate using the same formula:

P = $50,000

r = 11% / 100 / 12 = 0.0091667 (monthly interest rate)

n = 30 years * 12 = 360 (total number of monthly payments)

M2 = $50,000 * (0.0091667 * (1 + 0.0091667)^360) / ((1 + 0.0091667)^360 - 1)

Calculate the difference in monthly payments:

Extra cost per month = M2 - M1

Now let's perform the calculations:

M1 ≈ $446.92 (monthly payment at 10% interest rate)

M2 ≈ $491.55 (monthly payment at 11% interest rate)

Extra cost per month = $491.55 - $446.92 ≈ $44.63

Therefore, borrowing $50,000 for 30 years at 11% instead of 10% would result in an extra cost of approximately $44.63 per month.

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I need help please!!!

Answers

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

How to solve differences?

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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Which expression is equal to 3√5/√11

A.√33/5
B.3√55/11
C.3√55/√11
D.O√55/11

Answers

Answer:

B

Step-by-step explanation:

3√5/√11 = 2.02

3√55/11 = 2.02

so,

3√5/√11 = 3√55/11

Other Questions
when a third-quarter moon rises and explain why it appears to rise at that time. PLEASE HELPPPPa. 2/3b. 2/4c. 1/2d. 1/4 KQuestion 7 of 8 >What proportion of U. S. Residents receive a jury summons each year? A polling organization plans to survey a random sampleof 500 U. S. Residents to find out. Let p be the proportion of residents in the sample who received a jury summons in the previous12 months. According to the National Center for State Courts, 15% of U. S. Residents receive a jury summons each year. Supposethat this claim is true. OBFW PublishersWhat sample size would be required to reduce the standard deviation of the sampling distribution to one-half the original value?Sample Size=Attempt 2ResidentsEnter an integer what is the structure of the amino acid produced from the reaction sequence shown? Decreased compliance due to arteriosclerosis would cause the pulse pressure to Select one: a. remain the same b. decrease c. increase d. increase, then decrease e. decrease, then increase [-----------] is defined as the remaining cash the landlord receives after paying all the expenses for operating the property and any costs for tenant to occupy the space. When we get a line of credit from the banka-Assets increaseb-Expenses Increasec-Liabilities Increased-No change to the Balance Sheet and no change to the Income Statement NONE: If the name of the 'CS' (Computer Science) Department changes to 'CSSE' (Computer Science and Software Engineering) Department and the cor- responding prefix for the course number also changes, identify the col- umns in the database that would need to be updated which of the following reportable diseases require immediate reporting by phone .Which of the following is true of short-term disability insurance?A. Only employees who have been with an organization for less than two years are eligible for short-term disability insuranceB. It is only provided to those individuals who work part timeC. It pays the double the full salary of a disabled employee for a period of two monthsD. It pays a portion of a disabled employee's salary as benefits for up to 6 monthsE. It pays the full amount of a disabled employee's salary for a minimum period of one year What is the leading cause of chlid. In developing countries how is it beimg addressed why did william i threaten to abdicate Which of the following might be a result of a breakdown of the tight junctions of sustentacular cells? Check all that apply.a) A decrease in spermatogensisb) An auto-immune response to secondary spermatocytesc) A breakdown of the blood-testis-barrierd) A lower sperm counte) A decrease in the rate of meiosis among primary spermatocytes how many sigma bonds are in 2-butyne (ch3c=cch3)? group of answer choices What is the density of a sample of argon gas at 60 C and 858 mmHg ? What is the density of a sample of argon gas at 60 and 858 ? 1.65 g/L 16.50 g/L 9.16 g/L 1254.38 g/L T/F a monopoly maximizes profit by finding the output level where the difference between marginal revenue and marginal costs is as large as possible. Select the correct answer from each drop down menu. ABC and DEF are similar. The lengths of AB and AC are 5 units each, and the length of BC is 6 units. If the length of EP is 3 units, then the length of DE is ?units. If mABC is 53 degrees, then mEDF is ? suppose restriction enzyme a makes two cuts in a linear dna fragment and restriction enzyme b makes one cut in that same dna. the cuts are not in the same place, and no two of the cut fragments is exactly the same size. the digested samples are run in an electrophoresis gel. how many bands should the gel pick up if both enzymes a and b are used in the restriction digest? Payment based on commission can be very inconsistent. Please select the best answer from the choices provided T F. which of the following are senses that other animals have, but humans do not? select all that apply. group of answer choices echolocation electroreception hearing magnetoreception smell taste touch sight