What missing decimal makes the inequality true? Use equivalent fractions and a number line to show your work. 1. a > 1.4​

Answers

Answer 1

Answer:

To find the missing decimal that makes the inequality true, we need to convert both numbers to equivalent decimals and then find the decimal that lies between them.

1.4 can be written as 1.40 (since trailing zeros do not change the value). We can also write 1 as 1.00, since it is equivalent to 1.

Now we have:

a > 1.40

is equivalent to:

a > 1.00 + 0.40

or

a > 1.00 + 4/10

To find the missing decimal, we need to find the decimal equivalent of 4/10.

4/10 can be simplified to 2/5, and we can convert it to a decimal by dividing 2 by 5:

2 ÷ 5 = 0.4

Therefore,

a > 1.00 + 0.4

or

a > 1.40

We can represent this on a number line as follows:

```

0 1 2 3

--|---------|---------|---------|-->

1.00 1.40 a

```

Since the inequality is "a is greater than 1.4", we shade the part of the number line that is to the right of 1.4 to represent all the values of a that satisfy the inequality.

Step-by-step explanation:

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Related Questions

1) Two squares have side lengths represented by b cm and (3c) cm respectively. Express the difference between the areas of the two squares in factored form.​

Answers

Answer:

(b -3x)•(b +3x)

Step-by-step explanation:

The area of the first square is b², and of the second is (3c)²:

b² - (3c)² = (b - 3x)•(b+3x)

The difference between the areas of the two squares in factored form is (b-3c)(b+3c).

Given that, two squares have side lengths represented by b cm and (3c) cm respectively.

We need to express the difference between the areas of the two squares in factored form.

What is the area of a square?

A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the shape is the area of the square. The formula to find the area of a square is a². Where a is the side of a square.

Now, the area of a square with the side b cm=b² cm²

The area of a square with the side 3c cm=(3c)² cm²

=9c² cm²

Now the differnce=b²-9c²

Use the identity a²-b²=(a+b)(a-b) to simplify b²-9c².

Then, b²-(3c)²=(b-3c)(b+3c)

Therefore, the difference between the areas of the two squares in factored form is (b-3c)(b+3c).

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Which expression is equivalent to 3^-4*3^6​

Answers

Answer:

3^2

Step-by-step explanation:

3^-4*3^6

3^-4+6

3^2

What is the conditional probability that an evennumbered card is picked given that the 2 is picked?

Answers

The answer is , the conditional probability that an even-numbered card is picked given that the 2 is picked is 1/2 or 0.5.

The conditional probability that an even-numbered card is picked given that the 2 is picked can be calculated using the formula for conditional probability.

Let's assume there are 52 cards in the deck, with half of them being even-numbered (26 cards) and 4 of them being twos (2 of which are even-numbered).

To find the conditional probability, we need to divide the number of favorable outcomes (even-numbered cards that are twos) by the total number of possible outcomes (all twos).

Therefore, the conditional probability can be calculated as:

Conditional Probability = Number of favorable outcomes / Number of possible outcomes

Conditional Probability = 2 / 4

Simplifying the fraction, we get:

Conditional Probability = 1/2

So, the conditional probability that an even-numbered card is picked given that the 2 is picked is 1/2 or 0.5.

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what is 149,597,870 in scientific notation

Answers

Answer:

1.4959787 × 10^8

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^b.

Follow the steps below to see how 149,597,870 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 149,597,870

New Number: 1.49597870

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 4 9 5 9 7 8 7 0

Decimal Count: 1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10^b

a = 1.4959787 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

1.4959787 x 10^8

Step 4

Check your work:

10^8 = 100,000,000 x 1.4959787 = 149,597,870

Hope this helped.

please help!! 20 points if u just comment to take my points or guess i’ll make sure ur account gets banned. thank you!!

please help!! 20 points if u just comment to take my points or guess ill make sure ur account gets banned.

Answers

Answer:

I believe it's A and B

Step-by-step explanation:

reid took seven tests. on the first five tests that he took, he averaged $86$ points. on the last three tests, he averaged $95$ points. if he averaged $88$ points on all seven tests, how many points did he average on the last two tests?

Answers

The points that he average on the last two tests will be 93 points.

What is mean?

A mean is the average of the set of numbers that are given.

On the first five tests that he took, he averaged 86 points. The total points will be:

= 86 × 5

= 430 points

He averaged 88 points on all seven tests. The total will be:

= (88 × 7)

= 616 points

The point average on the last two tests will be:

= (616 - 430)/2

= 186/2

= 93 points

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A square, with a side length of 3x + 4, has a triangle with a base of 7x and a height
of 4x2, cut out of it. Find the remaining area.

Answers

From the information given, the remaining area would be 9x² + 24x + 16 - 14x³

How to determine the value

The formula for determining the area of a square is expressed as;

Area = a²

Where;

a is the side length

Now, substitute the value of the side length in the formula

Area = (3x + 4)²

expand the bracket

Area = ( 3x + 4) (3x + 4)

Area = 9x² + 12x + 12x + 16

collect like terms

Area = 9x² + 24x + 16

The formula for determining the area of a triangles is expressed as;

Area = 1/ 2 bh

Where;

b is the baseh is the height

Area = 1/ 2 × 7x × 4x²

Area = 14x³

The remaining area will be ;

= 9x² + 24x + 16 - 14x³

Thus, the remaining area would be 9x² + 24x + 16 - 14x³

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please help me complete these -5a^2+ 5a = _______(a – 1) and 18x^2 + 2x³ = _______(9 + x) I need to complete the blanks

Answers

Answer:

Step-by-step explanation:

-5a^2+ 5a factors as follows:  -5(a - 1) (so -5 goes into the blank space).

 18x^2 + 2x³ factors as follows:  2x^2(x + 9) (so 2x^2 goes into the blank    space)

Select all statements that are true about the linear equation.

y=−2x+4
t or f-The graph of the equation is the set of points that are solutions to the equation.
t or f-The point (0, 2) lies on the graph of the equation.
t or f-The graph of the equation is the set of all points on the coordinate plane.
t or f-The point (1, 2) lies on the graph of the equation.

Answers

Answer:

T/F/T/T

Hope this helps

Answer

The graph of the equation is the set of points that are solutions to the equation.

Point (1, 2) lies on the graph of the equation.

Step-by-step explanation:

I took the test

Select all statements that are true about the linear equation. y=2x+4t or f-The graph of the equation

Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)

Answers

Answer:

M(13, 14)

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

Each coordinate of the midpoint is the average of endpoints:

x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14

Therefore M is (13, 14).

What is the surface area of the cylinder with height 6 m and radius 7 m?
Round your answer to the nearest thousandth.

Answers

Answer:

571.77 cm2 is the answer


Solve the equation : |x| - 6 = 4

Answers

Answer:

x=10

Step-by-step explanation:

10-6 is equal to 4. The absolute value of 10 is 10. Therefore, x=10. Brainliest?

factorise X^2 + 4xy - 4y^2- 9z^2​

Answers

Answer:

Step 1: Equation at the end of step 1

(((x^{2} )-4xy)+(4(((x

2

)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y

2

)))−3

2

−z

2

Step 2: Equation at the end of step 2

(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x

2

)−4xy)+2

2

y

2

)−3

2

z

2

Step 3: Final Result

x^{2} -4xy+4y^{2} -9z^{2}x

2

−4xy+4y

2

−9z

2

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Which expressions are equivalent to 5x-15? Select three options.
O 5(x+15)
O 5(x-3)
O 4x+3y-15-3y+X
O -7y-6x-8y + x
O -20-3x+5+8x

Answers

B, C , and D i believe

Q.4 What is the difference between price floors and price ceiling? Give example and illustrate graphically in support of your answer.

Answers

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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Write an equation in point-slope form of the line that passes through the point (3,-8) and has a slope of 7. PLZ help meh!!

Answers

Answer:

y-(-8) = 7(x-3) or

y+8 = 7(x-3)

Euler method in Matlab
30. Solve: Nxy - 0.5ye-0.1x for osx54 with y(0) = 6.5 dx Plot the solution. =

Answers

The differential equation to be solved is Nxy - 0.5ye-0.1x for osx54 with y(0) = 6.5 dx. This can be solved using Euler's method in MATLAB.

Follow the steps below.

Step 1: Create a function file - The differential equation needs to be defined in a function file first. Let's create a function file named "odefun.m".function dydx = odefun(x,y)

dydx = N*x*y - 0.5*y*exp(-0.1*x);

where N is a constant value that needs to be defined.

Step 2: Define the given values - Define the given values such as N, initial value y(0), and step size dx.

N = ...; %

Define N herey 0 = 6.5; %

Define initial value of y here. dx = ...; %

Define step size here

Step 3: Use Euler's method to solve the differential equation - Now, use Euler's method to solve the differential equation using a for loop. The MATLAB code is as follows: x = 0:dx:54; %

Define range of x values here y = zeros(size(x)); %

Initialize y as a vector of zeros y(1) = y0; %

Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end

Step 4: Plot the solution - Finally, plot the solution using the MATLAB command plot(x,y).

The complete MATLAB code is given below:

N = ...; %

Define N here y0 = 6.5; %

Define initial value of y here dx = ...; %

Define step size here x = 0:dx:54; %

Define range of x values here y = zeros(size(x)); % Initialize y as a vector of zeros y(1) = y0; %

Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end plot(x,y)

The plot of the solution will be displayed.

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Problem 3
The bill at dinner was $58.24 before tax and tip.
There is a 6% sales tax. After the tax, an 18% tip is
added.
What is the total including tax and tip?

Answers

62 dollars left in the tax

Answer:

$62.bope this helpsjensbdnd

What is the answer of this ratio What's the equivalent number :24 and 5:3 ???

help!!

Answers

Answer: the equivalent number ratio is 40:24 and 5:3 ???

Step-by-step explanation:

Divide 24 by 3 to get 8 then do 5 times 8 to get 40 to prove your answer witch I have you can simply the ratio

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Point P i on line egment O Q. Given O Q = 11 OQ=11 and O P = 9 , OP=9, determine the length P Q ‾. PQ ​

Answers

The numerical length of PQ is 20

Determine the length P Q ‾. PQ ​?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the line segments are: -

OQ=11  O P = 9

The numerical value of PQ will be calculated as below.

OP+OQ=PQ

11+9=PQ=11+9=PQ

Therefore PQ=20=PQ

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Dominic had a piece of lumber that was 3/4 of a foot long that he divided into 6 pieces how many feet long was each new piece?

Answers

1.5 inches or 0.125 feet long. First we translate feet into inches to make it easier. 12 inches = 1 foot. 3/4 of 12 inches would be 9 inches. To figure that out 12 inches / 4 PCs =3 inches. You need 3 of those PCs so 3x3 =9 inches which is 3/4 of a foot. Next you divide that into 6 PCs so 9 inches /6 PCs and you get 1.5 inches. Each of the 6 PCs would be 9 inches. If you want to translate back to feet you would just divide 1.5 by 12 which would be 0.125 feet.

Let AA and BB be two mutually exclusive events, such that P(A)=0.2272P(A)=0.2272 and P(B)=0.4506P(B)=0.4506. Find the following probability:

Answers

The probability that the events do not occur is 0.6778`.

The probability that the events do not occur is given by `P(Ac)=1-P(A)` and `P(Bc)=1-P(B)`.

The given probabilities are `P(A)=0.2272` and `P(B)=0.4506`.

Using the formula `P(A∪B)=P(A)+P(B)-P(A∩B)`, we have `P(A∩B) = P(A) + P(B) - P(A∪B)`

Using the fact that the two events are mutually exclusive, we get `P(A∩B) = 0`.

Thus, `P(A∪B) = P(A) + P(B) = 0.2272 + 0.4506 = 0.6778`.

The probability that either A or B but not both occurs is given by `P(AΔB) = P(A∪B) - P(A∩B) = 0.6778 - 0 = 0.6778`.

Hence, the required probability is `P(AΔB) = 0.6778`.

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if the number of bacteria in a petri dish culture doubles every 3 hours, and initially there were 2500 bacteria present, in how many hours will there be 100,000 bacteria?

Answers

The time required to have number of bacteria to be 100,000 is equal to 15.96 hours.

Let us consider,

N = final number of bacteria

   = 100,000 bacteria

N₀ = initial number of bacteria

    = 2500 bacteria

t = time elapsed

T = time it takes for the population to double

   = 3 hours

Use exponential growth formula to solve this problem,

N = N₀ × 2^(t/T)

Substitute the values in the formula,

⇒ 100,000 = 2500 × 2^(t/3)

Simplify this equation by dividing both sides by 2500,

⇒ 100,000/2500 = 2^(t/3)

⇒ 40 = 2^(t/3)

To solve for t, we can take the logarithm of both sides of the equation,

⇒ log40 = (t/3) log 2

⇒ t/3 = log 40 /log 2

⇒t = 3 × ( log 40 /log 2)

Using a calculator, we can evaluate this expression to get,

t ≈ 15.96 hours

Therefore, it will take approximately 15.96 hours for the number of bacteria to reach 100,000.

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Use the Law of Cosines to solve each triangle with the given measures. Round answers to the nearest tenths. a = 4.38 ft, b = 3.79 ft, c = 5.22 ft

Answers

ANSWER

• A = 55.5°

,

• B = 45.5°

,

• C = 79.1°

EXPLANATION

The lengths of the three sides of a triangle are given. We have to use the Law of Cosines to find the measures of the interior angles,

Solving each of the equations above for the angles, A, B, and C, we can find their measures,

\(A=\cos^{-1}\left(\frac{a^2-b^2-c^2}{-2bc}\right)\)

Replace the known values and solve,

\(A=\cos^{-1}\left(\frac{4.38^2-3.79^2-5.22^2}{-2\cdot3.79\cdot5.22}\right)\approx55.5\degree\)

Repeat for angle B,

\(B=\cos^{-1}\left(\frac{b^2-a^2-c^2}{-2ac}\right)=\cos^{-1}\left(\frac{3.79^2-4.38^2-5.22^2}{-2\cdot4.38\cdot5.22}\right)\approx45.5\degree\)

And for angle C,

\(C=\cos^{-1}\left(\frac{c^2-a^2-b^2}{-2\cdot a\cdot b}\right)=\cos^{-1}\left(\frac{5.22^2-4.38^2-3.79^2}{-2\cdot4.38\cdot3.79}\right)\approx79.1\degree\)

Hence, the three interior angles of this triangle, rounded to the nearest tenth of a degree, are:

• A = 55.5°

,

• B = 45.5°

,

• C = 79.1°

Use the Law of Cosines to solve each triangle with the given measures. Round answers to the nearest tenths.

The velocity as a function of time for an asteroid in the asteroid belt is given by v(t)=v0e−t/t^+2tvt​^​ where v0​ and t0​ are constants. these questions do not have to be answered in the order in which they are asked (it may be easier to answer them in a different order). The values for the constants that you will use are: v0​=2 m/st0​=336 s Displacement Average x Component of the Velocity Magnitude of Average Acceleration Final Speed Find the speed of the asteroid at the final time. v(ff)=

Answers

The speed of the asteroid at the final time is infinity.

Given, the velocity as a function of time for an asteroid in the asteroid belt is given by: v(t) = v0 * e^(-t/t0) + 2t * v0

Here, v0 and t0 are constants.

Now, let's find the velocity at final time by substituting the given values:

v(t) = v0 * e^(-t/t0) + 2t * v0v(t) = 2 * e^(-t/336) + 2t * 2m/s

t(t0 = 336 seconds and v0 = 2 m/s)

Now, let's find the velocity at the final time i.e v(ff)

v(ff) = v(∞) = 2 * e^(-∞/336) + 2 * ∞ * 2 m/s = 0 + ∞ = ∞

Thus, the speed of the asteroid at the final time is infinity.

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If 'P' and 'Q' are direct proportional , find the respective values of a, b and c in the given table.

If 'P' and 'Q' are direct proportional , find the respective values of a, b and c in the given table.

Answers

Answer:

a. 5 b. 8 c. 100

Step-by-step explanation:

What graph represents the system of linear inequalities? y>3x+1 y≤−2x−4

Answers

Answer:

Step-by-step explanation:

y>3x+1

y≤-2x-4

What graph represents the system of linear inequalities? y>3x+1 y2x4

In a recent tennis​ tournament, women playing singles matches used challenges on 135 calls made by the line judges. Among those​ challenges, 36 were found to be successful with the call overturned.
a. Construct a 95​% confidence interval for the percentage of successful challenges.
b. Compare the results from part​ (a) to this 95​% confidence interval for the percentage of successful challenges made by the men playing singles​ matches: 23.6​%

Answers

a) The 95% confidence interval is 18.95% to 34.49%. b) The confidence interval for women (18.95% to 34.49%) does not include the value of 23.6%.

To construct a 95% confidence interval for the percentage of successful challenges made by women playing singles matches, we can use the formula for the confidence interval for a proportion. The formula is:

Confidence Interval = p ± Z * \(\sqrt{p(1-p)/n}\)

Where:

p is the sample proportion (successful challenges / total challenges)

Z is the z-score corresponding to the desired confidence level

n is the sample size

a. Let's calculate the confidence interval for the percentage of successful challenges made by women:

Sample size (n) = 135

Number of successful challenges (x) = 36

Sample proportion (p) = x/n

p = 36/135 ≈ 0.2667

To find the z-score corresponding to a 95% confidence level, we need to calculate the critical value. Since the sample size is large enough (n > 30), we can approximate the critical value using the standard normal distribution.

The z-score corresponding to a 95% confidence level (two-tailed test) is approximately 1.96.

Confidence Interval = 0.2667 ± 1.96 * \(\sqrt{0.2667(1-0.2667)/135}\)

Calculating the confidence interval:

Confidence Interval = 0.2667 ± 1.96 * \(\sqrt{0.2667*0.7333/135}\)

= 0.2667 ± 1.96 * \(\sqrt{0.19511/135}\)

= 0.2667 ± 1.96 * 0.03943

≈ 0.2667 ± 0.07723

The lower bound of the confidence interval is:

0.2667 - 0.07723 ≈ 0.1895

The upper bound of the confidence interval is:

0.2667 + 0.07723 ≈ 0.3449

Therefore, the 95% confidence interval for the percentage of successful challenges made by women is approximately 18.95% to 34.49%.

b. To compare the results with the 95% confidence interval for the percentage of successful challenges made by men (23.6%), we can observe that the confidence interval for women does not overlap with the value for men.

The confidence interval for women (18.95% to 34.49%) does not include the value of 23.6%. This suggests that there may be a significant difference in the percentage of successful challenges made by women compared to men.

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bill invests 160 at the start of each month for 22 months, starting now. if the investment yields 0.5% per month, compunded monthly, what is its value at the end of 22 months?> calculus

Answers

We will use the future value of a series formula to solve this problem. The terms you want me to include are invests, investment, and compounded.

Here's a step-by-step explanation:


1. Bill invests $160 at the start of each month for 22 months. This is a regular investment, and we will treat it as an ordinary annuity.

2. The investment yields 0.5% per month, compounded monthly. We'll convert the percentage to a decimal by dividing it by 100, so the monthly interest rate (r) is 0.005.

3. We will use the future value of an ordinary annuity formula to find the value of the investment at the end of 22 months:

FV = P * [(1 + r)^n - 1] / r

Where FV is the future value of the investment, P is the monthly investment ($160), r is the monthly interest rate (0.005), and n is the number of months (22).

4. Plug in the values and calculate:

FV = 160 * [(1 + 0.005)^22 - 1] / 0.005

FV = 160 * [(1.005)^22 - 1] / 0.005

FV = 160 * [1.113688 - 1] / 0.005

FV = 160 * 0.113688 / 0.005

FV = 3,627.232

The value of Bill's investment at the end of 22 months is approximately $3,627.23.

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suppose our student center published data that the average starting salary for college graduates is 59k. you randomly sampled 49 college graduates and calculated the sample average salary is 44k. what test can you use to check whether the true average is 59k?

Answers

To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted. The true value of 59k is 44k after the test.

What is an Average?

In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.

Equating :

It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.

When we analyze the  given question, we find that,

The total number of students were 49,The true average was found to be 59k,and the Sample average is found to be 44k.

Thus, in  the present question we will use the One- sample T-test.

We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.

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FASTT PLZZ!!!! -Every person's body is different, _____. A. but every vehicle's cabin layout is the same B. and every vehicle's cabin layout is different C. making some people automatically safer drivers D. making some people better fit to drive a sedan than a coupe What does the veto power allow the governor to do?O name agenciesO appoint a judgeO eject a lawO call a legislative session Which of the following is LEAST useful in arguing that territorial expansion was motivated by a desire to spread slaverya.) William Walker's campaign in Nicaraguab.) Ostend Manifestoc.) the slogan "54, 40 or fight"d.) the annexation of Texase.) opposition to Wilmot Proviso What is the scale factor Please help so grateful if you do. Please help what is the answer if you put a link you will get reported In the set-up shown in the figure below, which of the following statements would describe what would be observed after 12 hours of time have elapsed? The level of the solution in the tube would rise because there are now more dissolved solutes present in the beaker than in the tube. The level of the solution in the tube would lower because the glucose and salt would move into the tube. The level of the solution in the tube would rise because there are now more dissolved solutes in the tube than the beaker. The level of the solution would not change as the membrane prohibits any exchange between tube and the beaker. The level of solution in the tubes would see no change because the solute levels are equal on both sides. two thirds of a number reduced by 11 is equal to 4 more than the numher. find the number pls help me for brainleist 42 out of the 56 students at a school assembly were first-grade students. What percentage ofthe students at the assembly were first graders Can someone please help me look at the picture and answer please ! dialectical tensions are conflicts that occur when two opposing or incompatible forces exist simultaneously. Sun is the main source the energy, how?50 points + Brainliest Please give the correct answerJust for class 5 So the answer mustn't be complicated Thank you How many moles of water are produced if 5.43 mol PbO2 are consumed what is a potential reason for why the presence of a phosphate group on the glucose molecule leads to a ~10-fold rate enhancement in imine formation. (hint: for this, remember the various factors governing the rate of a bimolecular reaction, which this is.) the banana is 8 inches long how many 0.4 inch slices can be cut from the banana A patient presents for a cardiac stress test at the hospital. The same physician supervises the test, interprets the study and documents the official report. What CPT code(s) is/are reported?A) 93015B) 93015-26C) 93016, 93017, 93018D) 93016, 93018 Now answer Numbers 1 through 10. Base your answers on the passages "from The Tragedy of King Lear" and "from Pride and Prejudice!'Which text from Passage 1 shows most clearly that King Lear has decided not to give Cordelia her inheritance?A) "For, by the sacred radiance of the sun, / The mysteries of Hecate and the night"(section 19)B)"By all the operation of the orbs / From whom we do exist and cease to be" (section 20)C) "Here I disclaim all my paternal care, / Propinquity and property of blood, / And as astranger to my heart and me" (section 20)D) "Or he that makes his generation messes / To gorge his appetite, shall to my bosom / Be as well neighbor'd, pitied, and reliev'd, / As thou my sometime daughter" (section 21) Jason is a salesmen at the store. He earns 8.50 per hour, plus a 10% commission on his total weekly sales over 1,000. Last week, Jason worked 18 hours and had total sales of 1,492. Which is the best estimate for the total amount of money Jason earned last week what is the formula unit of the ionic compound that results from the the combination of calcium and sulfur ? Find the value of x. Express your answer in simplest radical form.45I5Not drawn to scale .532OB. 5-13OC.5.OD. 5.52.