Find the distance between the two points rounding to the nearest tenth (if
necessary).
(2,8) and (-3,-4)

The total number of white tiles that Paul used is 54

From the question, we have the following parameters that can be used in our computation:

Length of the entire floor = 9 feet

Width of the entire floor = 12 feet

The total number of white tiles used is calculated as

Total number of white tiles used = Length of the entire floor * Width of the entire floor/2ft²

Substitute the known values in the above equation, so, we have the following representation

Total number of white tiles used = 9ft * 12ft/2ft²

Evaluate

Total number of white tiles used = 54

Hence, the white tiles are 54

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Answer:

34 degrees C

Step-by-step explanation:

30+30+30+35+35+35+34=229

229/7=32.714

and when you round up you get 33

Answer:

it is B

Step-by-step explanation:

exponent 9 times 9 = 81

since the exponent is 2 multiply 9 x 9 and you get 81

Answer:

5.099

Step-by-step explanation:

The measure of the length of line segment CD is; 12.8

Pythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.

From the task content, the center of the circle is at point S and since CS = 4;

Hence, it follows from Pythagoras theorem that;

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Answer:

If it walks like a duck and it talks like a duck, then it is a duck.

and

Either it does not walk like a duck or it does not talk like a duck, or it is a duck.

are logically equivalent to each other.

but neither of the two is logically equivalent to

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

Step-by-step explanation:

Given statements:

Statemen 1:

If it walks like a duck and it talks like a duck, then it is a duck.

Statement 2:

Either it does not walk like a duck or it does not talk like a duck, or it is a duck.  

Statement 3:

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

Let

Using p = it walks like a duck , q =it talks like a duck, r = it is a duck  the given statements can be written in symbolic form as:

Statement 1:  

p ∧ q → r

The ∧ symbol shows that if both p and q are true then, they imply r. This means both p and q together imply r

Statement 2:

~p ∨ ~q ∨ r

Here the statement p and q are negated and joined using or. So either negation p or negation of q or r (alternative)  

Statement 3:

~p ∧ ~q → ~r

The ∧ symbol shows that if both negation of p and negation of q are true then, they imply r. This means both negated p and negated q together imply negated r

Statement 1:

p ∧ q → r ≡ ~(p∨q) ∨ r               Using conditional equivalence p→q ≡ ~p ∨ q

              ≡ (~p ∧ ~q ) ∨ r          

You can see it is  equivalent to Statement 2 i.e. ~p ∧ ~q → ~r

Hence Statement 1 and Statement 2 are logically equivalent.

Now Statement 3:

~p ∧ ~q → ~r ≡ ~(~p ∧ ~q ) ∨ ~r   Using conditional equivalence p→q ≡ ~p ∨ q

                     ≡ ~(~p ) ∨ ~(~q ) ∨ ~r Using De Morgan's Law ~(p∧q) ≡ ~p ∨~q

                     ≡  p ∨ q ∨ ~r Using Double Negation Law ~(~p)≡p

This shows that Statement 3 is neither logically equivalent to Statement 1 nor logically equivalent to Statement 2.

Proof by truth table is attached. The table shows that the columns for Statement 1 and Statement 2 have same truth values.

Hence

"If it walks like a duck, and it talks like a duck, then it is a duck,"

and

"If it does not walk like a duck, and does not talk like a duck, then it is not a duck,"

are logically equivalent.

The table also shows that column for Statement 3 does not match with either of the columns for Statement 1 and Statement 2. So

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

is not logically equivalent to Statement 1 and Statement 2.

Answer:

duck walk

Step-by-step explanation:

Answer: Domain: x<-2 Range: y>1

Step-by-step explanation:

I don't know for sure but I am taking the test and that was the outcome of the answer.

Answer:

3 is the correct answer hope it helps

Answer:

The answer is below

Step-by-step explanation:

A function shows relationship between variables usually between inputs (an independent variable) and outputs (a dependent variable).

C(F) = 5/9(F - 32) shows the relationship between C and F. C(F) is the temperature in degree Celsius for any temperature in Fahrenheit. This means that the function C(F) represents the conversion of temperature from Fahrenheit to degree Celsius.

Answer:  8  7/10  hours

whole part = 8

fractional part = 7/10

========================================================

Work Shown:

x = number of hours driving

(5/6)x = total number of gallons of gas used

(5/6)x = 7 & 1/4

(5/6)x = 7 + 1/4

(5/6)x = 28/4 + 1/4

(5/6)x = 29/4

x = (29/4)*(6/5)

x = (29*6)/(4*5)

x = 174/20

x = 87/10

x = (80+7)/10

x = 80/10 + 7/10

x = 8 + 7/10

x = 8 & 7/10

This is the same as writing 8  7/10

Amy drove 8 full hours, plus an additional 7/10 of an hour.

That mixed number converts to the decimal value 8.7

Answer:

200.96in^2

Step-by-step explanation:

If the 1st cookie cake is 8" for its diameter and the 2nd cookie cake will have twice the length diameter of the 1st cookie cake .You will do 2 × 8 to get the diameter of the 2nd cookie cake.

First cookie cake diameter is 8".

Second cookie cake's diameter is 16".

Since we need the radius to find the area of the 2nd cookie cake we're going to do 16 / 2 which equals 8 so 8 is the radius.

A=(pi)r^2

A=(pi)8^2 *to the 2nd power means times by the same number

A=(pi)64

A= (3.14)(64)

A=200.96

=200.96^2

pi= 3.14 *for this problem

Answer:

450 mL

Step-by-step explanation:

Given that :

Amount in mL of medicine taken at a time = 10mL

Number of times taken per day = 3 times

Amount in mL taken per day = 3 * 10mL = 30mL

Total amount in mL of medicine taken in 15 days :

Amount in mL taken per day * 15 days

= 30mL * 15

= 450mL

Answer:

By using the Pythagorean theorem, the sides form a right triangle:

36^2 + 15^2 = 39^2

The rate of change is negative (-2 in²/min), the area is decreasing. Thus, the answer is that the area is decreasing.

The given information can be tabulated as follows:Length Width(Decreasing)Rate of change+5 in/min-7 in/min Values at the moment 6 in 8 in.

Using the product rule, the rate of change of the rectangle can be found as follows:A = lw A = (6 in)(8 in)A = 48 in²∴ The area of the rectangle is 48 in².The rate of change of the area of the rectangle is: dAdt = (dl/dt)w + l(dw/dt) dAdt = (5 in/min)(8 in) + (6 in)(-7 in/min)d Adt = 40 in²/min - 42 in²/min∴ dAdt = -2 in²/min.

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We are given the following system of equations:

Equation (1) can be rewritten by dividing by 3 on both sides as:

Solving for "x" in equation (1), we get:

Replacing in equation (2)

simplifying

Now we solve for "y", by subtracting 14 on both sides:

Dividing by -4 on both sides:

Replacing the value of "y" in equation (1)

Now we subtract 9 on both sides:

Therefore, the solution of the system is:

Answer:

B

Step-by-step explanation:

half × base × height

height × length

Answer: B

Step-by-step explanation:

Triangle)

25 - 7 = 18

\(A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2\)

Rectangle)

\(A=b(h)\\A=7(17) = 119cm^2\)

Total)

\(153+119=272 cm^2\)

An exponential function is a function defined by y = ab^x, where a represents the initial value, and b represents the rate

From the graph, we have the following ordered pairs

(x,y) = (0,270) and (1.5,80)

Given that:

\(y = ab^x\)

At point (0,270), we have:

\(ab^0=270\)

\(a= 270\)

At point (1.5,80), we have:

\(ab^{1.5} = 80\)

Substitute 270 for a

\(270b^{1.5} = 80\)

Divide both sides by 270

\(b^{1.5} = 0.2963\)

Take 1.5th root of both sides

\(b =0.44\)

Hence, the medicine decrease in the hour and half at a factor of 0.44

In (a), we have:

The decay factor (b) to be 0.44

This represents the factor at which the medicine decreased throughout.

Hence, the medicine decrease in the first half hour, and the first hour at a factor of 0.44

In (a), we have:

\(a= 270\)

\(b = 0.44\)

So, the exponential equation is:

\(y =270 * 0.44^x\)

In terms of m and h, we have:

\(m =270 * 0.44^h\)

Hence, the equation relating m to h is \(m =270 * 0.44^h\)

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Answer:

9/35

Step-by-step explanation:

There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.

Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.

Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.

Answer:

20%?

Step-by-step explanation:

I think im wrong but what u can do is u can convert the fraction into a decimal then get ur answer from there.

Therefore , the solution of the given problem of standard deviation comes out to be  the width of the confidence interval for a making a mark parameter decreases.

Variance is measured in statistics using variance. The average variation between the data and the mean is calculated by taking the square root of that value. By comparing each value to the mean, it incorporates all data points in its computations, in contrast to some other quantitative measures of variability. Variations may occur due to internal or external factors, and they may include things like unintentional errors, exaggerated expectations, and changing commercial or economic conditions.

Here,

The standard error and margin of error drop when the sample size rises, keeping all other factors constant.

As a result, the width of the confidence interval for a making a mark parameter decreases.

Thus, The width of an error range for a papulation characteristic will increase as sample size rises, keeping all other factors constant.

Therefore , the solution of the given problem of standard deviation comes out to be  the width of the confidence interval for a making a mark parameter decreases.

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The sine of an angle in the second quadrant differs from the sine of its reference angle by a negative sign.

In the unit circle, the reference angle is the acute angle formed between the positive x-axis and the terminal side of an angle measured counterclockwise. The sine of an angle is defined as the y-coordinate of the point on the unit circle corresponding to that angle.

In the second quadrant of the unit circle, angles have values between 90 degrees and 180 degrees (π/2 and π radians). Since the reference angle is always the acute angle, the reference angle for an angle in the second quadrant is the angle formed between the terminal side and the negative x-axis.

When comparing the sine of an angle in the second quadrant to the sine of its reference angle, there is a sign difference. The sine function is positive in the first and second quadrants. However, in the second quadrant, the y-coordinate (sine value) is negative because it lies below the x-axis. This means that the sine of an angle in the second quadrant is the negative value of the sine of its reference angle.

Mathematically, if θ is an angle in the second quadrant, and α is its reference angle, then:

sin(θ) = -sin(α)

This relationship holds true because the y-coordinate (sine value) in the second quadrant is the negative value of the y-coordinate in the first quadrant. So, the sine of an angle in the second quadrant differs from the sine of its reference angle by a negative sign.

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The measures of position that divide a set of data into four equal parts are called quartiles.

Quartiles are statistical measures that divide a dataset into four equal parts, each containing approximately 25% of the data. These quartiles are denoted as Q1, Q2, and Q3.

Q1, also known as the first quartile or the 25th percentile, represents the value below which 25% of the data falls. It splits the lowest 25% of the dataset from the rest.

Q2, also known as the second quartile or the 50th percentile, is the median of the dataset. It represents the value below which 50% of the data falls, dividing the dataset into two equal parts.

Q3, also known as the third quartile or the 75th percentile, represents the value below which 75% of the data falls. It separates the highest 25% of the dataset from the rest.

These quartiles are useful in analyzing the distribution and dispersion of data, providing insights into the spread and central tendency.

They are commonly used in box plots, where the box represents the interquartile range (IQR), which is the range between Q1 and Q3, while the line inside the box represents the median (Q2).

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According to the given information the missing measurement is the longer length or base of the parallelogram, which measures 10 meters.

A parallelogram is a four-sided geometric shape with two pairs of parallel sides. The opposite sides of a parallelogram have equal lengths and are parallel to each other. The opposite angles of a parallelogram are also equal.

Based on the clues provided, we can determine that the missing measurement is the longer length of the shape. Here's how we can calculate it:

Clue #1 tells us that the shape has four sides, with one set being parallel. This means that the shape is a parallelogram.

Clue #2 tells us that the area of the parallelogram is 40 square meters.

Clue #3 tells us that the height of the parallelogram is 4 meters.

Clue #4 tells us that one of the lengths of the parallelogram is 6 meters.

To find the missing measurement, we can use the formula for the area of a parallelogram:

Area = base x height

Since we know the area and height, we can plug those values in:

40 = base x 4

Solving for the base, we get:

base = 40 / 4 = 10

So the missing measurement is the longer length or base of the parallelogram, which measures 10 meters.

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The equation of the circle with its center at (5, 1) that passes through (10, 13) in standard form is (x - 5)² + (y - 1)² = 169.

To write the equation of the circle with its center at (5, 1) that passes through (10, 13) in standard form, follow these steps:

1. Recall the standard form of a circle's equation: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

2. Substitute the center coordinates (h, k) = (5, 1) into the equation: (x - 5)² + (y - 1)² = r².

3. Find the radius by calculating the distance between the center (5, 1) and the point (10, 13) using the distance formula: r = sqrt((x₂ - x₁)² + (y₂ - y₁)²).

4. Plug in the coordinates: r = sqrt((10 - 5)² + (13 - 1)²) = sqrt(5² + 12²) = sqrt(25 + 144) = sqrt(169) = 13.

5. Substitute the radius value (r = 13) back into the equation: (x - 5)² + (y - 1)² = 13².

6. Simplify the equation: (x - 5)² + (y - 1)² = 169.

So, the equation of the circle with its center at (5, 1) that passes through (10, 13) in standard form is (x - 5)² + (y - 1)² = 169.

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1) The GCD of 7579 and 3724 is: 1.

2) The GCD of 3769 and 5001 is 7.

The Euclidean Algorithm for finding GCD(A,B) is as follows:

If A = 0 then GCD(A,B)=B, since the GCD(0,B)=B, and we can stop. If B = 0 then GCD(A,B)=A, since the GCD(A,0)=A, and we can stop. Write A in quotient remainder form (A = B⋅Q + R)

1) Computing the greatest common divisor of 7579 and 3724 using the Euclidean algorithm gives:

7579 = 2 * 3724 + 1301

3724 = 2 * 1301 + 222

1301 = 5 * 222 + 191

222 = 1 * 191 + 31

191 = 6 * 31 + 5

31 = 6 * 5 + 1

5 = 5 * 1 + 0

The remainder becomes 0, and the last divisor is 1

2) 5001 = 1 * 3769 + 1232

3769 = 3 * 1232 + 273

1232 = 4 * 273 + 140

273 = 1 * 140 + 133

140 = 1 * 133 + 7

133 = 19 * 7 + 0

The remainder becomes 0, and the last divisor is 7.

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The conic section represented by the polar equation r = 3/2 - 6cos(θ) is an ellipse with an eccentricity of 6.

The equation for the directrix of the given ellipse is r = (-105/2)/(1 + 6*cos(θ)).

Here, we have,

To find the eccentricity and identify the type of conic section represented by the polar equation r = 3/2 - 6cos(θ),

we can compare it with the standard equations for various conic sections in polar form.

For an ellipse in polar form, the equation is given by

r = (2a(1 - e²))/(1 + e*cos(θ)),

where 'a' is the semi-major axis and 'e' is the eccentricity.

For a hyperbola in polar form, the equation is given by

r = (2a(1 + e²))/(1 + e*cos(θ)),

where 'a' is the distance from the origin to the center of the hyperbola and 'e' is the eccentricity.

For a parabola in polar form, the equation is given by r = (2a)/(1 + cos(θ)), where 'a' is the distance from the origin to the focus.

Comparing the given equation, r = 3/2 - 6cos(θ), with the standard equations for conic sections, we can see that it matches the form of an ellipse.

From the equation, we can identify the semi-major axis 'a' as 3/2 and the eccentricity 'e' as 6.

The eccentricity is always non-negative, so we take the absolute value of the calculated eccentricity.

The eccentricity of the ellipse is |e| = 6.

Therefore, the conic section represented by the polar equation r = 3/2 - 6cos(θ) is an ellipse with an eccentricity of 6.

To find the equation for the directrix of the ellipse, we can use the standard equation for an ellipse in polar form:

r = (2a(1 - e²))/(1 + e*cos(θ))

Substituting the values 'a = 3/2' and 'e = 6', we have:

r = (2(3/2)(1 - 6²))/(1 + 6cos(θ))

r = (3/2)(1 - 36)/(1 + 6cos(θ))

r = (3/2)(-35)/(1 + 6cos(θ))

r = (-105/2)/(1 + 6cos(θ))

Thus, the equation for the directrix of the given ellipse is r = (-105/2)/(1 + 6*cos(θ)).

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Answer:

4.0625

Step-by-step explanation:

All you have to do is divide 3.25 from 4 which will give you 0.8125.

Knowing that you need 5 pounds only. you mulitiply 5 from 0.8125 which gives you the 4.0625

Answer:

9in

Step-by-step explanation:

I´m telling you I just got it Right

Answer:

It’s A

Step-by-step explanation:

GOT IT RIGHT

By information provided in the question, we can say that It is the probability of a Type I error.

The proportion of favorable outcomes to all possible outcomes for an event is known as the probability. The quantity of positive outcomes in an experiment with 'n' outcomes is represented by x. The following equation can be used to determine the likelihood of an event:

Probability (event) = positive outcome / overall outcome = x/n

It refers to the likelihood of a Type I mistake.

The likelihood that a Type I error will occur, or the likelihood that a null hypothesis will be rejected when it is true, determines the degree of significance.

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