The side of a square is 2.5 cm. Find its perimeter and area.​

Answer: OK, the answer is 28.

Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?

Answer:

B can

Step-by-step explanation:

126 and 79 are not divisible by 5, only numbers that end in 0 or 5 can

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Answer:

i think the radius is 9 because the diameter of the pool is 18 and the pool is in the shape of a circle so 9 is the best estimate.

Step-by-step explanation:

Answer:

  1

Step-by-step explanation:

You want to know the value of i^4.

The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.

  i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1

The fourth power of i is 1.

__

Additional comment

As you can see from the evaluation process, ...

  i¹ = i

  i² = -1 . . . . . definition of i

  i³ = -i

  i⁴ = 1

The sequence repeats for higher powers.

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Learn more about ascending order, click;

https://brainly.com/question/28762233

#SPJ9

Answer:

3 1/2

Step-by-step explanation:

Answer is 8/12.

Mixed number Fraction:

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

(Here),

Nori had  \(2\frac{1}{12}\) bags of apples.

Given, he used  \(1\frac{5}{12}\) bags of apples.

Nori left =   \(2\frac{1}{12}\)  -   \(1\frac{5}{12}\)

=> (25 / 12) - (17 / 12)

=> 8 / 12 => (2 / 3)

Learn more about Mixed fractions here:

https://brainly.com/question/24901550?referrer=searchResults

#SPJ2

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

For similar questions on pool

https://brainly.com/question/28063924

#SPJ11

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

Read more about  probability of random selection at: https://brainly.com/question/251701

#SPJ1

Answer:

\(d=\sqrt{61}\)

Step-by-step explanation:

The distance is given by the expression\(d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}\)

Answer:

95,040 ways

Step-by-step explanation:

The first position has 12 choices

The second has 11 choices (since first is filled)

The third has 10 choices

The fourth has 9 choices

The fifth has 8 choices

So the number of ways they can make the ranking will be;

12 * 11 * 10 * 9 * 8 = 95,040 ways

The number of ways could the voters (student body) rank their first 5 choices is 792 ways.

Since Last year at a certain high school, 12 students sought the nomination for president of the student body.

So, here

we use the combination here

\(= 12!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\times 7!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\div 5\times 4\times 3\times 2\)

= 792 ways

Therefore, The number of ways could the voters (student body) rank their first 5 choices is 792 ways.

Learn more about ways here: https://brainly.com/question/6669465

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

96 is the smallest number that is a multiple of 4, 6, and 8 and is between 67 and 113.

Given that, Lena must choose a number between 67 and 113 that is a multiple of 4,6, and 8.

Start listing the multiples of 4 between 67 and 113, which are 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, and 108.

We can then narrow down the list by looking for the multiples of 6, which are 72, 78, 84, 90, 96, and 102, and the multiples of 8, which are 72, 80, 88, 96, 104, and 112.

Since 96 is the smallest number that is a multiple of 4, 6, and 8 and is between 67 and 113.

Therefore, 96 is the smallest number that is a multiple of 4, 6, and 8 and is between 67 and 113.

Learn more about multiples of a number here:

https://brainly.com/question/10520264.

#SPJ1

Answer: \(4x^3 -29x^2 +10x-21\)

Step-by-step explanation:

\((4x^2 -x+3)(x-7)\\\\=4x^3 -28x^2 -x^2 +7x+3x-21\\\\=4x^3 -29x^2 +10x-21\)

Answer: the numbers are 6 and 4.

Step-by-step explanation: 6 times 4 equals 24

6 plus 4 equals 10

Answer:

slope 3/4

y intercept -1

Step-by-step explanation:

y=mx+b

m=slope

b=y intercept

Answer:

Slope-3/4

Intercept-(0,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

The historical data suggests that the life expectancy in Argentina is equal to the life expectancy in Bolivia.

With the objective of testing if that it hasn't changed, the records of recently deceased people from Argentina and Bolivia were selected at random:

Group 1: Argentina

X₁: Years of life of a recently deceased Argentinian.

n₁= 265

X[bar]₁= 74.8 years

S₁= 4.1 years

Group 2: Bolivia

X₂: Years of life of a recently deceased Bolivian.

n₂= 300

X[bar]₂= 75.4 years

S₂= 4.3 years

The parameters of interest are the population means of the years of life of people in both countries:

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α: 0.05

The statistic to use is an approximate standard deviation, and since both samples are quite large, it is valid to use the sample standard deviations in place of the population standard deviations:

\(Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S_2^2}{n_2} } }\)≈N(0;1)

\(Z_{H_0}= \frac{(74.8-75.4)-(0)}{\sqrt{\frac{16.81}{265} +\frac{18.49}{300} } }= -2.54\)

The critical values for this test are:

\(Z_{\alpha /2}= Z_{0.025}= -1.96\)

\(Z_{1-\alpha /2}= Z_{0.0975}= 1.96\)

Using the critical value approach, the decision rule is:

If \(Z_{H_0}\) ≤ -1.96 or if \(Z_{H_0}\) ≥ 1.96, reject the null hypothesis.

If -1.96 < \(Z_{H_0}\) < 1.96, do not reject the null hypothesis.

\(Z_{H_0}\) ≤ -1.96 so the decision is to reject the null hypothesis.

So with a 5% significance level, there is enough evidence to reject the null hypothesis, you can conclude that the life expectancy in Argentina is different from the life expectancy in Bolivia.

I hope this helps!

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

For more such questions on Quadrilateral:

https://brainly.com/question/27991573

#SPJ8

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

For similar questions on De Morgan's law

https://brainly.com/question/28735989

#SPJ8

Answer:

is this a multiple-choice question?

Step-by-step explanation:

**i'll go back and change my answer, i promise**

A) horizontal asymptote: y = 7 B) vertical asymptote: x = -4, 5 is the required answers for horizontal and vertical asymptotes of the curve.

The horizontal asymptote of a curve is a horizontal line that the curve approaches as x approaches infinity or negative infinity. The vertical asymptote of a curve is a vertical line that the curve approaches but never crosses as x approaches a certain value. In this case, the horizontal asymptote is found by letting x approach infinity in the fraction and observing what the value of y approaches. In the limit as x approaches infinity, the x^2 term dominates and thus y approaches 7, which is the horizontal asymptote. To find the vertical asymptote, we find the values of x where the denominator equals 0 and the numerator is not equal to 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5. Thus, the vertical asymptotes are x = -4 and x = 5. To find the vertical asymptotes, we look for the values of x where the denominator of the function equals 0 and the numerator does not equal 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5, which means that x = -4 and x = 5 are the vertical asymptotes of the function. These values of x represent the values at which the function is undefined, and as x approaches these values from either side, the value of the function approaches positive or negative infinity.

To know more about  asymptotes click here:

brainly.com/question/12579013

#SPJ4

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

The three Pythagorean trigonometric identities, which I’m sure one can find in any Algebra-Trigonometry textbook, are as follows:

sin² θ + cos² θ = 1

tan² θ + 1 = sec² θ

1 + cot² θ = csc² θ

where angle θ is any angle in standard position in the xy-plane.

Consistent with the definition of an identity, the above identities are true for all values of the variable, in this case angle θ, for which the functions involved are defined.

The Pythagorean Identities are so named because they are ultimately derived from a utilization of the Pythagorean Theorem, i.e., c² = a² + b², where c is the length of the hypotenuse of a right triangle and a and b are the lengths of the other two sides.

This derivation can be easily seen when considering the special case of the unit circle (r = 1). For any angle θ in standard position in the xy-plane and whose terminal side intersects the unit circle at the point (x, y), that is a distance r = 1 from the origin, we can construct a right triangle with hypotenuse c = r, with height a = y and with base b = x so that:

c² = a² + b² becomes:

r² = y² + x² = 1²

y² + x² = 1

We also know from our study of the unit circle that x = r(cos θ) = (1)(cos θ) = cos θ and y = r(sin θ) = (1)(sin θ) = sin θ; therefore, substituting, we get:

(sin θ)² + (cos θ)² = 1

1.) sin² θ + cos² θ = 1 which is the first Pythagorean Identity.

Now, if we divide through equation 1.) by cos² θ, we get the second Pythagorean Identity as follows:

(sin² θ + cos² θ)/cos² θ = 1/cos² θ

(sin² θ/cos² θ) + (cos² θ/cos² θ) = 1/cos² θ

(sin θ/cos θ)² + 1 = (1/cos θ)²

(tan θ)² + 1 = (sec θ)²

2.) tan² θ + 1 = sec² θ

Now, if we divide through equation 1.) by sin² θ, we get the third Pythagorean Identity as follows:

(sin² θ + cos² θ)/sin² θ = 1/sin² θ

(sin² θ/sin² θ) + (cos² θ/sin² θ) = 1/sin² θ

1 + (cos θ/sin θ)² = (1/sin θ)²

1 + (cot θ)² = (csc θ)²

3.) 1 + cot² θ = csc² θ

Answer:

0.538

Step-by-step explanation:

7 divided by 12 = 0.538

Answer:

-1/5

Step-by-step explanation:

y2-y1/x2-x1

1-2=-1

-4-1=-5

-1/5

Answer:

C) 1/5

Step-by-step explanation:

Find the Slope (1, 2) and (−4, 1)

Slope is equal to the change in y over the change in x, or rise over run.

              change in y

    m =     __________

               change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

               y2 − y1

    m =     _________

                x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

               1 − (2)

    m =    _________

               −4 − (1)

Simplify the numerator.

                 −1

    m =     _________

                −4 − (1)

Simplify the denominator.

                −1

     m =    ________

                −5

Dividing two negative values results in a positive value.

                 1

     m =    ________

                 5

Answer:

yes

Step-by-step explanation:

it's amazing, beautiful, incredible, show stopping, ect.