(~Q → P) ⋀ ~P


Truth Table

The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends. So correct option is C.

Measuring tides involves observing and recording changes in the water level of oceans, seas, and other bodies of water over time. Tides are caused by the gravitational pull of the moon and sun on the Earth's water, which results in a rhythmic rise and fall of water levels.

Tide measurements are important for a variety of reasons, including understanding ocean circulation, predicting flooding and storm surges, and planning shipping routes. Tidal data is also used in climate research, as changes in sea level can indicate long-term climate trends.

The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends.

The measurement is done because the land surfaces are dynamic with some locations rising or sinking relative to sea level changes are different across world coasts.

Therefore, the Option C is correct.

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The complete question is:

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

  The population mean is p =  64

  The sample size is  n =  56

   The sample mean is  \(\=  x  =  64.79\)

  The standard deviation is  \(s = 2.77\)

    The null hypothesis is  \(H_o :  \mu =  64\)

    The alternative hypothesis is  \(H_a :  \mu > 64\)

    The test statistics \(t =  2.13\)

    The level of significance is  \(\alpha  = 0.05\)

    The p-value  is  \(0.01 <  p-value <  0.025\)

Given that the  \(p-value  <  \alpha\) we reject the null hypothesis

The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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The amount each member needs to pay is $27.50

If 1 in 20 people has their scooters stolen or broken, that means 2 people will need to file a claim for their scooters (1/20 * 40).

We multiply the number of claims by the price of each scooter to determine the total amount of insurance required: 2 * $550 = $1100.

The cost of the insurance will be covered by equal contributions from each of the 40 participants.

Therefore, the amount each member needs to pay is $1100 / 40 = $27.50.

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Answer:

1 1/5 miles per hour

Step-by-step explanation:

3/5 = 0.60

1/2= 0.5 hr

0.60 * 2 = 1.2

1.2 mph = 1 1/5

Answer:

Step-by-step explanation:

IF 22% of 714 surveyed adult made a statement, the actual number of those that made the statement can be gotten by simply evaluating 22% of 714 as shown below;

= 22% of 714

= 22/100 * 714

= (22*714)/100

= 15708/100

= 157.08

≈ 157 surveyed adult

This means that about 157 surveyed adults made the statement.

Answer: state will need to put $686,539.98 into an account now to cover the weekly prize payments for the next 20 years, assuming a 5% interest rate.

Step-by-step explanation:

To find the total value of the prize, we can multiply the weekly prize amount by the number of weeks in 20 years:

Total value of prize = $2,000/week x 52 weeks/year x 20 years = $2,080,000

To determine how much money the state will need to put into an account now to cover the weekly prize payments, we can use the present value formula:

Present value = Future value / (1 + r)^n

where r is the interest rate and n is the number of compounding periods.

In this case, we want to find the present value of 20 years' worth of weekly payments, so n = 20 x 52 = 1,040 (assuming 52 weeks in a year).

The interest rate is 5%, so r = 0.05.

Plugging in the values, we get:

Present value = $2,080,000 / (1 + 0.05)^1,040

Present value = $686,539.98 (rounded to the nearest cent)

Therefore, the state will need to put $686,539.98 into an account now to cover the weekly prize payments for the next 20 years, assuming a 5% interest rate.

Answer:

c

Step-by-step explanation:

4 white marbles, 6 yellow marbles, 9 green marbles

Answer:

4 white marbles 6 yellow marbles and 9 green marbles

Answer: 80 miles

Step-by-step explanation:

320miles/8hours= 40mph

40mph=xmiles/2hrs

40*2= 80 miles

Answer:

x = 37

Step-by-step explanation:

The sum of exterior angles in a polygon is 360°.

41 + x +13 + 2x -14 + 3x -22 + x -3 +38 + x +11 = 360

Simplify.

8x + 64 = 360

Isolate 8x.

8x = 360 - 64

    = 296

Find x.

x = 296 ÷ 8

x = 37

Answer:

Equation: 900=139+(-x+167)+(-2x+194)+(-3x+202)+(-x+183)+(142)+(-x+169)

x=37

Step-by-step explanation:

This is a 7 sided polygon

Those are exterior angles

900 degrees= 7 sided polygon

So to find x

look interior plus exterior = 180

180-41=139

180-(x+13)=−x+167

180-(2x-14)=−2x+194

180-(3x-22)=−3x+202

180-(x-3)=−x+183

180-(38)=142

180-(x+11)=−x+169

now add them all up equal to 900

900=139+(-x+167)+(-2x+194)+(-3x+202)+(-x+183)+(142)+(-x+169)

just simplify all that

and combine like terms

x=37

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

a and d = 32

Step-by-step explanation:

since ABC and DEF are similar m<A = m<D so you have the equation

5x + 12 = 8x

subtract 8x from both sides

5x + 12 -8x = 0

subtract 12 from both sides

5x -8x = -12

combine like terms

-3x = -12

devide by -3

x = 4

plug 4 into equation

5(4) + 12 = 8*4

20 + 12 = 32

32 = 32                        

Be,

x = number of large boxes

y = number of small boxes

According to the statement there are 125 boxes (large and small) in a truck, so

x + y = 125 (Equation 1)

We are also told that the large boxes weigh 45 pounds, so

45x --> Weight of an "x" number of large boxes

And the small boxes 30 pounds

30y --> Weight of a "y" number of small boxes

According to the statement, the weight of the 125 boxes (large and small) is 4800 pounds, so

45x + 30y = 4800 (Equation 2)

x + y = 125

45x + 30y = 4800

To solve this system we will apply the equalization method, which consists of solving for the same variable (x or y) in each equation.

In this case we will isolate x.

From the first equation

x = 125 - y

And from the second equation

45x = 4800 - 30y

\(\mathsf{x = \frac{4800-30y}{45} }\)

We equate both expressions

\(\mathsf{125 - y = \frac{4800-30y}{45} }\\\\\mathsf{45(125-y)=4800 - 30y}\\\\\mathsf{5625 - 45y = 4800 - 30y}\\\\\mathsf{5625 - 4800 = 45y - 30y}\\\\\mathsf{825 = 15y}\\\\\mathsf{\frac{825}{15}=y }\\\\\mathsf{55 = y}\)

There are 55 small boxes in the truck, we need to find the number of large boxes, for this we will use equation 1.

x + y = 125 (Equation 1)

x = 125 - y = 125 - 55

x = 70

Substituting both x, y into Equation 2, we have that

45x + 30y = 4800

45(70) + 30(55) = 4800

4800 = 4800

Correct!

The answer to your math homework on 2x2 equations is: The truck has 70 large boxes and 55 small boxes.

The equation for hyperbola with given foci is \(\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1\)

What is hyperbola?

In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.

The standard equation of a horizontal hyperbola with center (h,k) is

\(\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1\)

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a= 4-(-10)

2a=14

a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is \((\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)\)

Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c= 6-(-3)=9

So, 7^2+b^2=9^2

b^2= 9^2-7^2

b^2= 81-49

b^2= 32

Hence, on substituting the obtained values in the standard equation of hyperbola, we get

\(\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1\)

\(\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1\)

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Answer:

100\(\pi\) (or about 314)

Step-by-step explanation:

So it's a circle, meaning that the formula for area is \(\pi r^{2}\). r= diameter divided by 2, so r=10. plug into equation and you get 100\(\pi\).

314 is when you round pi to 3.14 and multiply by 100.

Answer:

L=10cm , W=30cm

Step-by-step explanation:

First use the given that W=10+2*L

Use P=2W+2L=80, substitute W in the perimeter formula

2(10+2L)+2L=80 and solve for L,

20+4L+2L=80 isolate variable L and combine like terms,

6L=80-20,

L=10, so W=10+2*10=10+20=30

Answer:

x = $14

Step-by-step explanation:

2(x + 8 ) = 44

2x + 16 = 44

2x = 44 - 16

2x = $28

x = $14

Answer:

the answer would be A, $14.00

basically, you just need to distribute the 2 and work from there

2(x+8) = 44

2x + 16 = 44

2x = 28

x= 14

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Answer:

Hope this helps.

Step-by-step explanation:

Well y = 2x - 5 is an equation, a linear one.

Your question is mighty confusing, but I assume you may be asking to solve for x here:

y = 2x - 5

y + 5 = 2x

(y + 5)/2 = x

You also could be asking for the graph, for a clear image, go to desmos.

Hi!

y = 2x - 5 is a linear equation in slope - intercept form.

-5 is the y- intercept and 2 is the slope.

The perimeter of a rectangle is given by the following formula:

P = 2w+ 2l

Where w is the width and l is the length of the figure.

The area of a rectangle is given by the following formula:

A = w×l

By replacing 18.2 for l and 5.6 for w, we get:

P = 2×5.6 + 2×18.2 = 47.6

A = 5.6×18.2 = 101.92

Then, the perimeter of the rectangle equals

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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Part 1

Find out the perimeter

The perimeter of the figure is given by

part 2

Find out the area

The area is given by

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).