The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.

Answer:

Option B. y – 3 = –1/7(x – 3)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope (m) = –1/7

Coordinate = (3, 3)

x₁ coordinate = 3

y₁ coordinate = 3

The equation of the line can be written as follow

y – y₁ = m(x – x₁)

y – 3 = –1/7(x – 3)

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

The sum is 5.01734136793.

And the difference is  -3.08333860744.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

Given:

An angle measure is -19π/12.

-19π/12 = -4.97 radians.

So, the sum,

= sin(-4.97) + cos(-4.97) + tan(-4.97)

= 5.01734136793

The difference formula,

= sin(-4.97) - cos(-4.97) - tan(-4.97)

= - 3.08333860744

Therefore, the values are given above.

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Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Answer:

1,091,291,533,405,608

Step-by-step explanation:

Even because 8 is an even number

Answer:

135

Step-by-step explanation:

105/7 = 15

15*9 = 135

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

The reminder of 3/4 is 0.25 while what max wants is 1/3 which is 0.33333 of the box which is not enough

Answer: No

Step-by-step explanation:

Multiply both denominators by each other (multiply the 4 in 3/4 by three, and the 3 in 1/3 by 4). Then, multiply the numerator with the same integers (multiply the 3 in 3/4 by 3, and the 1 in 1/3 by 4). You should get 9/12 and 4/12. When you add those up, the sum is greater than one, therefore not being enough.

Answer:

$31

Step-by-step explanation:

First, to find how much the total was after we coupon we have to multiply 32.20 by 0.10. when we do that we get 3.22. Since the coupon was a discount we subtract 3.22 from 32.20 to get 28.98. We then multiply 28.98 by 0,07 to find out how much the 7% tax is. When you do that you get 2.0286. Add that to 28.98 since the tax add to the price. When you do that your answer round up to $31.

Answer:

$31.01

Step-by-step explanation:

32.20 x .10=3.22 coupon

32.20-3.22=28.98 discounted bill

28.98 x.07= 2.03 tax and add that together

$31.01 total bill

Answer:

I think 72,000 because since the weightlifter is lifting 72 and it is kg. It is turned into grams. multiplied by 1000 so 72000

a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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The within-group sum of squares is 58250.44

The degrees of freedom are given as 355

The estimate of the within-groups variance is 164.0657

Variance, as a statistical measure, evaluates the level of variability or dispersion contained in a dataset by inspecting how distant each value in a set is from the mean of that same set.

If there is a higher variance, it signals that data points are more widely distributed and further removed from the mean, whereas if there is a lower variance, one can assume that they are primarily clustered more closely around the mean.

To obtain the variance value, one must determine an average signal-to-noise ratio for each squared difference derived from every respective value taken away from the arithmetic mean. It is no exaggeration to say that variance is progressively employed across diverse subject areas including finance, engineering, and science.

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a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

A = P(1 + r/n)^nt

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

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Answer:

i love free points dont you

The length of diagonal \(\mathrm{\overline{LN}}\) is 406.44\(\overline{LN}\) 20.16 inches.

Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14.

You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.

The Pythagorean formula can be used to determine the diagonal LN's length. We can see that LM is 12.0 inches long while MN is 16.2 inches long

So, the Pythagorean Theorem can be applied as follows:

LN = LM + MN LN = (12.0) + (16.2) LN = 144 + 262.44 LN = 406.44 LN  20.16 inches.

Consequently, the longitudinal LN measures about 20.16 inches in length.

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Answer:

Step-by-step explanation:

y=mx + b where b= y intercept(when x=0) and m= slope(rise/run)

so there is a slope of 4 and a y intercept of 9

so starting from 9, you go up 4, and to the right 1. and that just repeats till you're satisfied.

Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.

Given, a number 2,016

we have to find the place and face value of 6 in the given number 2,016.

So, the Place value of 6 in the given number is ones.

Ones is the place value of the digit 6 in the number 2,016

Also, the Face value of 6 in the given number is 6.

6 is the face value of the digit 6 in the number 2,016

Hence, Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.

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Answer:

215.75

Step-by-step explanation:

.       .

 ----

Answer:

wwwwwwwwwwwwwwwwwww

Answer: \(=2.8x+8.7\)

\(=-2.1x+3.7+5+4.9x\)

\(=(-2.1x+4.9x)+(3.7+5)\)

\(=2.8x+8.7\)

Answer:

\(\Large \boxed{\sf \ \ 4\sqrt{a^2+b^2} \ \ }\)

Step-by-step explanation:

Hello,

You can use Pythagoras in the 4 right triangles.

For one triangle it comes \(\sqrt{a^2+b^2}\).

Then for the polygon it gives \(4\cdot \sqrt{a^2+b^2}\).

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

y = 54

Step-by-step explanation:

Once again we are going to use the inscribed angle and intercepted arc relationship where the inscribed angle is equal to half of the measure of the intercepted arc.

Angle "y" is the inscribed angle and its intercepted arc has a measure of 108°

So y = one half of 108

\(\frac{108}{2} =54\)

So we can conclude that y = 54

Answer:

  sh.299,449.72

Step-by-step explanation:

The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...

  FV = P((1+r)^t -1)/r

For the given numbers, the future value is ...

  FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72

Answer:

50% chance

Step-by-step explanation:

4 * 50% = 2

Answer:

most likely the 2nd one

The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

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Answer:

15pq

Step-by-step explanation:

We simply multiply the 2 terms together:

5q(3p) = 15pq

Since we cannot simplify this term any further, that is our answer.

Answer:

15 pq

Step-by-step explanation:

Took the test.

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

8 C°.

Step-by-step explanation:

7 p.m. was 4 C°. 1 hour later, it had increased 20 C°, so we take 4 added by 20. That gives us 24 C°. 1 hour later, it has decreased by 1 C°. So we take 24 minus 1. That gives us 23°C. And then by 1 hour later, it has decreased by 15°C. So we take 23 minus 15, equals to 8°C.