Round to the nearest hundredth if necessary.3.325 meters in 28 seconds

Answer:

360 degrees

Step-by-step explanation:

The sum of exterior angles of a heptagon is 360 degrees. For regular heptagon, the measure of the interior angle is about 128.57 degrees. The measure of the central angle of a regular heptagon is approximately 51.43 degrees. The number of diagonals in a heptagon is 14.

Step-by-step explanation:

heptagon = 7

(interior angle)

(7-2)×180 = 900

all 7 vertices angle - interior angle

(7×360) - 900 = 1620

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Answer:

11

Step-by-step explanation:

absolute value is always a positive number so

3|-5| -2|-2| =

3 * 5 -2*2

follow PEMDAS

15 -4 = 11

Answer:

Step-by-step explanation:

Answer:

\( - 9 {g}^{3} + {g}^{2} + 10g - 5\)

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

\(\pm24\)

Step-by-step explanation:

To find the geometric mean of two numbers, you find their product and then take the square root of that product:

\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)

Answer:

Not a 70%, but a 72.5% (or a 73%)

Step-by-step explanation:

Assuming that the 65% is the first grade and the 80% is your second, adding both numbers and dividing by 2 will get you 72.5%.

The best possible grade you can get from that 65% is an 82.5%, or 83% if you round the grade up. 100+65=165÷2 will get you 82.5.

Answer: C. 752

Step-by-step explanation: Just took the Sequences and Series Unit Test

The sum of the arithmetic value sequence is S = 752

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be S

Let the number of terms in the AP = 16

Now , the value of AP is

A = 16∑ ( 6t - 4 )

So , when t = 1

a₁ = 6 - 4 = 2

when t = 2

a₂ = 12 - 4 = 8

And , the common difference of the AP , d = 8 - 2 = 6

And , Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

So , when n = 16

S₁₆ = ( 16/2 ) [ 2 ( 2 ) + ( 15 ) 6 ]

S₁₆ = ( 8 ) [ 4 + 90 ]

S₁₆ = 8 x 94

S₁₆ = 752

Hence , the sum of AP is 752

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The best strategy for Alice is to take the card with the highest point value. This will maximize her chances of winning, since she can then choose the last card from the remaining cards. Bob should take the card with the lowest point value, as this will minimize Alice's chances of winning.

Alice always takes the first turn. Bob can either take the leftmost card or the rightmost card. If Alice takes the leftmost card and Bob takes the rightmost card, then Alice will have the advantage of being able to make the last move. If Bob takes the leftmost card and Alice takes the rightmost card, then Bob will have the advantage of being able to make the last move.

The best strategy for Alice is to take the card with the highest point value. This will maximize her chances of winning, since she can then choose the last card from the remaining cards. Bob should take the card with the lowest point value, as this will minimize Alice's chances of winning.

Alice should also be aware of Bob's strategy and try to anticipate what card he will take. If Alice can guess correctly, she can adjust her strategy to ensure she takes the card with the highest point value. If she guesses incorrectly, she should still attempt to take the card with the highest point value.

Alice should take the card with the highest point value and Bob should take the card with the lowest point value. Alice should also anticipate Bob's strategy and adjust accordingly to ensure she takes the card with the highest point value.

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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The sequence is 10, 8, 6, 4, 2…

                                f(n=1)=f(n)-2 for F(1)=10

  Let's take  values as natural numbers for n

    n = 1, 2, 3, 4....

 Take n = 1;

            f(1 + 1) = f(1) - 2 ⇒ f(2) = 10 -2 = 8 ; f(2) = 8

 Take n = 2;

           f(2 + 1) = f(2) - 2 ⇒ f(3) = 8 - 2 = 6; f(2) = 6

 Take n = 3;

           f(3 + 1) = f(3) - 2 ⇒ f(4) = 6 - 2 = 4; f(3) = 4

 Take n = 4;

         f(4 + 1) = f(4) - 2 ⇒ f(5) = 4 - 2 = 2; f(4) = 2

Therefore,

         The sequence is 10, 8, 6, 4, 2…

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The probability of choosing two scholarship winners from a group of three is one.

(a) Since there are only 3 applicants and 3 scholarships were awarded, the probability that 2 students were recipients of scholarships can be found using the hypergeometric distribution. The probability of selecting 2 scholarship recipients and 1 non-recipient from the population of 3 is:

P(2 recipients out of 3) = (C(3,2) * C(0,1)) / C(3,3) = 3/3 = 1

Therefore, the probability of selecting 2 scholarship recipients from the population of 3 is 1.

(b) The probability that no students were recipients of scholarships when a random sample of 3 applications is selected from the population of 8 can also be found using the hypergeometric distribution. There are C(8,3) possible samples of 3 applications that can be selected from the population of 8. The number of samples with 0 scholarship recipients is C(5,3) (selecting 3 non-recipients from the remaining 5 applicants).

Therefore, the probability that no students were the recipients of scholarships is:

P(0 recipients out of 3) = C(5,3) / C(8,3) = 10 / 56 = 0.1786

Rounded to four decimal places, this is equal to 0.3906.

Thus, the probability of selecting a sample of 3 applications with no scholarship recipients from the population of 8 is 0.3906.

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Answer:

2.75 yards

Step-by-step explanation:

If it took both (meaning 2) dresses a certain amount, half of that amount is one dress. So, we need to divide 5 1/2 by 2

*1/2 of 1 = 0.5

0.5 + 5 = 5.5

5.5 / 2 = 2.75

(2.75 also equals 2 3/4)

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

5

Step-by-step explanation:

5 times 3 = 15

3 times 5 = 15

Answer:

A. 84 pi feet^2

Step-by-step explanation:

So the lateral area is the rectangular piece on the net

In order for it to be an actual cylinder the 2 circles are congruent

Therefore the radi, area, circumference ect.. are the same.

So the only missing measurement we need to find the lateral area is the length of the rectangular piece

If you visualize a cylinder, the rectangular piece goes around the perimeter/circumference of the circle

So that means that the length of the rectangle is the circumference of the circle

Circumference = 2*pi*r

2 * pi * 6

= 12 pi

Then 7*12 pi

=84 pi

So the lateral area is 84 pi

:0

Answer:

yes

Step-by-step explanation:

|u| = √29

Since we are only given one vector, we cannot compute its dot product. However, the magnitude of a vector (x, y) is expressed as:

Given the vector u = (-2, -5), the magnitude of u is expressed as:

Hence the magnitude of the vector in radical form is √29

Answer:

18

Step-by-step explanation:

252 is a composite number. The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer:

Step-by-step explanation: -3/2 divided by 9/6

= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1

Hope this helps lol

The simplified result is -1. The correct option is b.

Given that:

Expression, -3/2 ÷ 9/6

To solve the given expression, follow as:

Rewrite the division as multiplication by the reciprocal of the second fraction.

-3/2 ÷ 9/6 = -3/2 × (6/9)

Now, simplify the fractions:

-3/2 × (6/9) = -3/2 × (2/3)

-3/2 × (6/9) = - (3 × 2)/(2 × 3)

-3/2 × (6/9) = -6/6

Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:

-6/6 = -1

So, the simplified result is -1. The correct option is b.

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Complete question:

Simplify Negative 3 over 2 divided by 9 over 6.

a. −4

b. −1

c. 4

d. 1

Answer:0.00004694835

Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answers:

1. 750

2. 750 + 5*20 = 850

Answer:

Step-by-step explanation:

For sales of 's', Alan's earnings will be ...

  320 +0.05s

He wants that to be at least 600, so the inequality is ...

  320 +0.05s ≥ 600

__

Its solution is found by subtracting 320 and dividing by 0.05.

  0.05s ≥ 280

  s ≥ 5600

Alan's weekly sales must be at least $5600 for his earnings to cover his expenses.