Let p and q and r be the following propositions: p: Bob gets an A on the final exam. q: Bob does every homework. r: Bob gets an A in this class. Write the following propositions using p, q, and r and negations and logical connectives: (a) Bob gets an A in this class, but he does not do every homework. (b) For Bob to get an A in this class, it is necessary for him to get an A on the final exam. (c) Bob gets an A in this class if he either does every homework or gets an A on the final.

Answer:

y = 3/2x - 1

Step-by-step explanation:

in picture :) if you cant read my writing ask me, and I'll tell you

Answer:

Step-by-step explanation:

First, we need to figure out how many 1/4 teaspoons are in 1 teaspoon:

1 teaspoon = 4 (1/4) teaspoons

So for 1 teaspoon of seasoning, we need:

1 teaspoon seasoning * 1 1/2 cups water per 1/4 teaspoon seasoning

= 4 (1/4) teaspoons seasoning * 1 1/2 cups water per 1/4 teaspoon seasoning

= 6 cups of water

Therefore, if a large batch of soup is made using 1 teaspoon of seasoning, we would need 6 cups of water.

Answer:

-3.8 - (7.2-10 3/8)

-3.8+(-7.2+10 3/8) this is the error, it's positive 10 3/8, not negative, then you should solve what's in the parentheses first

I simplified 10 3/8 into 83/8 and then 10.375

-3.8+(-7.2 + 10.375)

-3.8+ 3.175 = -0.625

Answer:

15 and 10 miles

Step-by-step explanation:

one half of 30 = 15

two thirds of 15 miles =10 miles

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Answer:

x= -66

Step-by-step explanation:

Given equation is (x + 2)² + (y + 4)² = 1/16.Since both the squares are same, we can rewrite it as (x - (-2))² + (y - (-4))² = (1/4)².

The given equation represents an ellipse whose center is (-2,-4), length of major axis is 1/2 and length of minor axis is 1/4. Also the standard equation of an ellipse with center (h,k) is given by(x-h)²/a² + (y-k)²/b² = 1

Comparing this with the given equation, we get Center = (-2,-4)

a = 1/4 and b = 1/8

Vertices: The distance between the center and each vertex along the major axis is a. Hence the vertices are (-2, -4 + 1/4) and (-2, -4 - 1/4) or (-2, -3.75) and (-2, -4.25).

Foci: Let c be the distance between the center and each focus. We know that c² = a² - b².

Hence c² = (1/4)² - (1/8)² or c = √15/16. Therefore, the foci are (-2, -4 + √15/16) and (-2, -4 - √15/16). Eccentricity: The eccentricity e of an ellipse is defined as the ratio of the distance between the foci and the length of the major axis. Hence, e = c/a = √15/4. Sketch of the ellipse is shown below.

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DOES THE GRAPH SHOW A LINEAR FUNCTION?

\( \sf \large \color{grey}{YES IT SHOWS A GRAPHIC LINEAR}\)

Answer:

yeah, cuz it's a line that's straight

Answer:

- 11x = 29

Step-by-step explanation:

- 11x - 4 = - 6 + 31

- 11x - 4 = 25

- 11x - 4 = 25

- 11x - 4 + 4 = 25 + 4

- 11x = 29

Answer:Does this help?

Step-by-step explanation:

3/4 needs to have the same denominator as 8/12 so you can do this by multiplying the denominator by 3 and the top by 3 you get 9/12 When you convert them to percents you get , 3/4= 75% and 8/12= 66.666%

Answer:

Factored completely is: 3x^2 (x+3)(x-2)

according to your question - probs (x-2), no other choice

Step-by-step explanation:

have fun friend & have a good day friend :)

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Answer:

no idea

Step-by-step explanation:

Answer:

k so from my opinion

I think the answer is gonna be a

Answer:

True.

Step-by-step explanation:

Net pay is the amount you take home after deductions and taxes are removed from your gross pay. These subtractions from your gross pay will include federal, state and local income taxes, if applicable.

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml

Answer:

22.5 hours

Step-by-step explanation:

One cubic foot of water contains 7.48 gallons, so 40 cubic feet of water would equal 7.48 × 40, or 299.2 gallons. So the pumping rate is 299.2 gallons per minute. Multiplying 299.2 by 60, we have

299.2 × 60, or 17952 gallons per hour. Finally, divide 403,920 by 17,952 to find the number of hours to remove all the water: 403,920 ÷ 17,952 = 22.5 hours

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Step-by-step explanation:

Answer is $17.5

It says Mrs. Samuelson had $350 to spend on a field trip for herself and 18 students. so there are 19 people. Multiply 12.50*19 you get 237.5.

It also says lunch cost about $5.00 per person. Multiply 5.00*19 you get 95.

Add 95 to 237.5.

You get 332.5

Subtract 350 by 332.5.

Equation: 350-(19*12.50)+(19*5.00)

Answer: $17.5

The statement accurately describes the relation is option C 'The relation does not represent y as a function of x, because each value of x is associated with a single value of y.'

Given,

The points; (4, 0), (–4, 0), (4, 1), and (–4, 0).

We have to find the statement which accurately describes the above relation;

A relation is a function if for single output there is only single input.

In the given points (4, 0), (–4, 0), (4, 1), and (–4, 0)  for all individual output, there is only one input.

So,

The statement accurately describes the relation is option C 'The relation does not represent y as a function of x, because each value of x is associated with a single value of y.'

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The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

Answer:-61

Step-by-step explanation:

Answer:

2-3-7-9-6-7-8-6-5-7-7=-63

Step-by-step explanation:

Hope it helps!!!

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Answer:

B

Step-by-step explanation:

i gottt youu

Answer:

it is B

Step-by-step explanation:

The curves σ1: {|z| = 2} and σ2: {|z - i| = 5} in the complex plane are homotopic.

To show that the curves σ1 and σ2 are homotopic, we need to find a continuous map from a closed curve C: [0, 1] → ℂ (the complex plane) such that C(0) lies on σ1 and C(1) lies on σ2.

Let's define a map H: [0, 1] × [0, 1] → ℂ as follows: H(t, s) = (1 - s)C1(t) + sC2(t), where C1(t) and C2(t) are parameterizations of σ1 and σ2 respectively.

To construct the map H, we can choose C1(t) = 2\(e^{2\pi it}\) and C2(t) = (5\(e^{2\pi it}\) - i), which parameterize σ1 and σ2 respectively.

Now, we can verify that H is continuous. Both C1(t) and C2(t) are continuous maps, and since addition and scalar multiplication are continuous operations, the map H is also continuous. Additionally, H(0, s) = (1 - s)C1(0) + sC2(0) = C1(0) lies on σ1, and H(1, s) = (1 - s)C1(1) + sC2(1) = C2(1) lies on σ2.

Therefore, we have found a continuous map H that connects σ1 and σ2, demonstrating that the curves are homotopic.

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1) The value of an equation for y in terms of x is, y = 1/5x

And, y = 20 at x = 100

2) y = 184.8 , at x = 14

The value of an equation for y in terms of x is, y = 13.2x

Given that;

1) y is directly proportional to x.

2) y ∝ x and y=132 when x=10

Now, For 1;

1) Since, y is directly proportional to x.

Hence, We get;

y = kx

Plug y = 5 and x = 25

5 = 25k

k = 1/5

Hence, The value of an equation for y in terms of x is,

y = 1/5x

And, Plug x = 100,

y = 1/5 x 100

y = 20

2) Since,  y ∝ x and y=132 when x=10

y = kx

132 = 10k

k = 13.2

Hence, At x = 14;

y = 13.2 x 14

y = 184.8

Thus, The correct equation is,

y = 13.2x

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Answer:

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

Step-by-step explanation:

The dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend. This is because the dividend income is calculated by multiplying the number of shares that an investor owns by the amount of the dividend per share.

For example, if an investor owns W = 100 shares of XYZ stock and XYZ distributes a $Y = 5 per share dividend, then the investor's dividend income will be 100 * 5 = 500 dollars.

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

We are asked to find the proportion of mild cases that were effectively dealt with using treatment A. First we will find the total number of cases that were dealt with using treatment A, that is:

Fr

Step-by-step explanation:

= 39,5%

= 39,5/100

= 3950/1000

Answer:

79/200

Step-by-step explanation:

Convert the percentage into a fraction of 100 then multiply the both fraction by ten, so that the decimal is gone. Then simplify the fraction by dividing the numerator and denominator by 5 so in the end we have 79/200

Answer:

can u plz rewrite the question