16 small tortillas have been cut from the square sheet of dough. The circumference of each small tortilla is 7.85 in. How many small tortillas can be made from the leftover dough. Show your thinking

There are 15 different 2-member committees that can be formed from the 6 members of the high school student council as per combination.

In mathematics, a combination is a way of selecting objects from a larger group without considering the order in which they are chosen. A combination is also known as a binomial coefficient or a choose function, and is denoted by the symbol "n choose k", where n is the total number of objects and k is the number of objects to be selected.

In mathematics, a permutation is an arrangement of objects in a specific order. The number of possible permutations of a set of n distinct objects is given by n!, which is the product of all positive integers up to n.

The number of different 2-member committees that can be formed from a group of 6 members is given by the combination formula:

C(6, 2) = 6! / (2! * (6 - 2)!) = 15

where C(n, r) represents the number of combinations of r items that can be selected from a group of n items.

Therefore, there are 15 different 2-member committees that can be formed from the 6 members of the high school student council to attend the rally in Washington D.C.

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The smallest initial number that results in a win for Bernardo is 31.

Here's the breakdown of how the game would play out:

If Bernardo starts with any number less than 31, the final number will be less than 100 and Bernardo will win. Any number greater than 31 will result in Bernardo losing.

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To calculate the probability that the resulting product is even, we need to first determine the total number of possible outcomes. There are 90 two-digit numbers ranging from 10 to 99. If we choose two different numbers, there are a total of 90C2 (90 choose 2) possible combinations, which is equal to 4,005.

To calculate the number of even products, we need to consider the different scenarios. If one of the numbers is even, the product will also be even. There are 45 even numbers in the range from 10 to 99, so the number of even products that can be formed from an even number and an odd number is 45 x 45 = 2025.

If both numbers are odd, then the product will also be odd, and hence not even. There are 45 odd numbers in the range from 10 to 99, so the number of odd products that can be formed from an odd number and an odd number is 45 x 44 = 1980.

Therefore, the total number of even products that can be formed is 2025. The probability that the resulting product is even is then 2025/4005, which simplifies to 9/17, or approximately 0.5294. So, there is a 52.94% chance that the resulting product will be even.

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Answer:

I think 9 but dont quote me on it

Answer:

2

Step-by-step explanation:

in khan academy i put 9 because thats what the last person said here but it was wrong and the correct answer was 2 so its 2 for sure.

The two inequalities will be L>W-4 and (L x W) ≤ 32.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

It is given that:-

The length of the garden should be at least 4 ft shorter than the width

The distance around should be no more than 32 ft

The two inequalities will be as follows:-

a)The length of the garden should be at least 4 ft shorter than the width

L>W-4

b)The distance around should be no more than 32 ft

(L x W) ≤ 32.

Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.

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Answer:

50m^2

Step-by-step explanation:

cut the shape into half. Now you should have a rectangle and a right triangle. Then do 5•7=35 so 35m for the rectangle. Now do the triangle! 10-7=3 so the base is 3 so do 3•5=15m so add them together 15m+35m=50m^2

ALSO IF YOU NEED TO KNOW THE ANGLE X IS: 60*
Hope this helps! ;-)

Point C represents the negative one-third on the number line.

As given in the question,

On the given number line :

Number start from negative 2 to positive 1with increment of 1.

Number of equal spaces between each number is three.

Explanation of each point :

One mark represent 1/3

two mark represent 2/3

Point A:  one mark to the left of negative 1.

-1 + 1/3 = (-3 +1)/3

            = -2/3

Incorrect option.

Point B: 1 mark to the right of negative 1.

-1 + 1/3 = ( -3 + 1)/3

            = -2/3

Incorrect option.

Point C : 2 marks to the right of negative 1.

-1 + 2/3 = ( -3 + 2 )/3

           = -1/3

Correct option.

Point D :1 mark to the right of 0.

0 + 1/3 = 1/3

Incorrect option.

Therefore, point C represents the negative one-third on the number line as per given condition.

The complete question is:

Which point on the number line represents Negative one-third? A number line going from negative 2 to positive 1 in increments of 1.

There are 3 equal spaces between each number.

Point A is one mark to the left of negative 1.

Point B is 1 mark to the right of negative 1.

Point C is 2 marks to the right of negative 1.

Point D is 1 mark to the right of 0.

A

B

C

D

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If A is a symmetric matrix, then A³ is also a symmetric matrix.

To prove this, we can use the definition of a symmetric matrix, which is a matrix that is equal to its transpose. In other words, if A is a symmetric matrix, then A = A^T.

Now, let's look at A³:

A³ = A * A * A

We can replace each A with A^T, since they are equal:

A³ = A^T * A^T * A^T

Now, we can use the property that the transpose of a product of matrices is equal to the product of their transposes in reverse order:

A³ = (A^T * A^T * A^T)^T

A³ = (A^T)^T * (A^T)^T * (A^T)^T

Since the transpose of a transpose is the original matrix, we can simplify:

A³ = A * A * A

Therefore, A³ is also a symmetric matrix.

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Answer:

1:2 or 2:4

Step-by-step explanation:

First lets count the "P"s and "I"s in the word:

I: 4

P: 2

Next, we make a ratio of Ps to Is:

2:4

Now, we need to simplify:

2:4

Divide both sides by 2:

1:2

The answer is 1:2

Hope this helps!

--Appleπ101

Applepi101

Answer:

(⁴√81)⁵

= \(81^{\frac{5}{4} }\)

\(81^{\frac{5}{4} }\)

= 243

Step-by-step explanation:

(⁴√81)⁵

(3)⁵

= 243

Answer:

the answer is B 81^4/5 I HOPED THIS HELPED

Answer:

C. Are all real numbers greater than or equal to -8.

Step-by-step explanation:

Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.

The range of h, h(x), in the table given are all real numbers.

The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.

Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".

The correct statement explain for the given ratio of boys to girls of 3:4 is - this fraction of girls in the class is found to be 4/7.

Irrespective whatever how a ratio is expressed, it is crucial to reduce it to the fewest whole numbers, just like with any fraction. To accomplish this, divide the integers by their largest common factor after discovering it.

Ratios can also be expressed as a fraction because they are straightforward division problems. Some folks prefer to use merely words to express ratios.

Class contains a ratio of boys to girls of 3: 4.

So, Boys / Girl = 3 / 4

Total students = boys  + girls.

Total students = 3 + 4 = 7

So,

Girl / Total = 4/7

Thus, the correct statement explain for the given ratio of boys to girls of 3:4 is - this fraction of girls in the class is found to be 4/7.

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The complete question is-

A class has a ratio of boys to girls 3:4.

Select correct option:

a) The fraction of boys in the class is 3/4

b) The fraction of girls in the class is 4/7

c) The number of boys in the class is 6

d) The number of pupils in the class is 12

Answer:

Its C i just took the test and got this right!!!

Step-by-step explanation:

The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.

The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.

5² = 4² + 3²

25 = 16 + 9

25 = 25

The side 3 cm and 4 cm is normal to each other.

Then the correct option is C.

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-12(-8+(4*2-4*5)+10+2)

-12(-8+(8-20)+12)

-12(-8-12+12)

-12(-8)

96

Answer:

However, the CollegeBoard does not recommend that students use a four-function calculator on the exam as these do not have all the functions that you may need on the SAT, such as exponents, logarithms, and others.

Step-by-step explanation:

The coordinates of the translated line segment F'G' are (-2, -4) for point F' and (10, -4) for point G'. The translated line segment F'G' is parallel to the original line segment FG but shifted 5 units to the right and 2 units down.

The translated line segment F'G' is obtained by moving the original line segment FG right 5 units and down 2 units.

The main answer is: The translated line segment F'G' is formed by moving the original line segment FG five units to the right and two units down.

To obtain the coordinates of the translated line segment F'G', we add the translation values to the corresponding coordinates of the original line segment FG.

The original line segment FG has the coordinates (-7, -2) for point F and (5, -2) for point G.

To translate the line segment, we add 5 to the x-coordinate and -2 to the y-coordinate of both points F and G.

The new coordinates for the translated line segment F'G' are:

Point F': x-coordinate: -7 + 5 = -2, y-coordinate: -2 - 2 = -4

Point G': x-coordinate: 5 + 5 = 10, y-coordinate: -2 - 2 = -4

Therefore, the coordinates of the translated line segment F'G' are (-2, -4) for point F' and (10, -4) for point G'. The translated line segment F'G' is parallel to the original line segment FG but shifted 5 units to the right and 2 units down.

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\(( \sqrt{5} + \sqrt{2} {)}^{2} \\ \)

\(by \: \: \: using \: \: \: the \: \: \: formula \: \: (a + b) ^{2} = {a}^{2} + 2ab \: + {b}^{2} \: \: we \: \: \: get \\ ( \sqrt{5} {)}^{2} + 2( \sqrt{5}) \: (\sqrt{{2)}} + ( \sqrt{2) }^{2} \\ = \sqrt{5} \times \sqrt{5} + 2 \sqrt{5 \times 2} + \sqrt{2} \times \sqrt{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} \)

(C) 7+2√10

\(\\ \rm\longrightarrow 1+2\dots +20\)

Use Summation formula

\(\\ \rm\longrightarrow S_n=\dfrac{n(n+1)}{2}\)

\(\\ \rm\longrightarrow S_{20}=\dfrac{20(20+1)}{2}\)

\(\\ \rm\longrightarrow S_{20}=\dfrac{20(21)}{2}\)

\(\\ \rm\longrightarrow S_{20}=\dfrac{420}{2}\)

\(\\ \rm\longrightarrow S_{20}=210\)

The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.

The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.

In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.

Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.

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Answer: Half of jasmine's age=(20÷2)

Her brother is 6 years more than half her age= (20÷2)+6 (a)

Step-by-step explanation:

The expression for her brother Zac's age is (20 ÷ 2) + 6. Then the correct option is A.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jasmine is 20 years old.

Her brother Zac is 6 years more than half her age.

Half her age is given as (20 ÷ 2)

And her brother's age is 6 years more. Then add 6, we have

(20 ÷ 2) + 6

The age of her brother is 16 years.

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It is true, as The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.

Correlations describe the connections between different variables. Strong, weak, positive, or negative expressions are all possible. 1 = Causation need not always follow from correlation. A statistical measure of the linear relationship between two variables is called correlation (that is, do they change at a constant rate). Without defining cause and effect, this is a common method for illustrating straightforward connections. To illustrate the connection between two quantitative variables, statistical language employs correlation. Additionally, we consider that this connection is linear. In other words, when one variable changes by a given amount, the other variable also changes by a fixed amount, but only by one unit.

The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.

So, it is true.

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Answer:

y=7*3^x

Step-by-step explanation:

y=ab^x

(0,7) ⇒ 7=ab^0 ⇒ 7=a

(5, 1701) ⇒ 1701= 7b^5 ⇒ b^5=243 ⇒ b^5= 3^5 ⇒ b=3

y=7*3^x

The expression that correctly calculate the perimeter of the right triangle is:

15 + 15tan42° + 15/cos42°

Trigonometry deals with the relationship between the ratios of the sides of a right triangle with its angles.

The perimeter of the right triangle is the sum of all the sides of the triangle.

We have:

15 units

Let the side opposite angle 42° be x. Thus,

tan 42 = x/15

x = 15 tan 42°

For the hypotenuse side (h):

cos 42° = 15/h

h = 15/cos 42°

Perimeter = 15 + x + h

Perimeter = 15 + 15tan42° + 15/cos42°

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Complete Question

Check the attached image

The round 2 would be more difficult, and players may need to invest more time and effort to succeed in the game.

Generally speaking, the difficulty level of a game depends on several factors, such as the player's skills, the game's mechanics, and the game's overall design.

Since the game is designed to be easy in the first round and then becomes increasingly difficult in the subsequent rounds, it is likely that round 2 would be more difficult to play.

This is because players would have already acclimatized to the game mechanics and the basic gameplay during round 1, and the difficulty level would have been adjusted accordingly.

In round 2, players would face new challenges, tougher opponents, and more complex game mechanics.

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Answer:

b = 10

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms

(2x + a)(4x - 1) ← expand using FOIL

= 8x² + 4ax - 2x - a = 8x² + x(4a - 2) - a

Compare coefficients of like terms with

8x² + bx - 3

Then a = 3 ( constant term )

b = 4a - 2 ( coefficients of the x- term )

b = 4(3) - 2 = 12 - 2 = 10

Answer:

b = 10

Step-by-step explanation:

We can break those parenthesis like this

\((2x + a)(4x - 1) \\ = 2x(4x - 1) + a(4x - 1) \\ = 8{x}^{2} - 2x + 4ax - a\)

And then combine the terms end with x we get

\(8 {x}^{2} - 2x + 4ax - a \\ = 8 {x}^{2} + 4ax - 2x - a \\ = 8 {x}^{2} + (4a - 2)x - a\)

Now by comparing 2 expressions, we can see that a is 3, and b = 4a-2 = 12-2 = 10

According to research, immune function is increased in adolescents who option C: get more than 9 hours of sleep a night.

Yes, sleep deprivation has an impact on your immune system. According to studies, those who don't get enough or good sleep are more likely to become ill after contracting a virus like the one that causes the common cold.

Therefore, The immune system receives crucial support during sleep. A well-balanced immune defense enabled by robust innate and adaptive immunity, effective response to immunizations, and less severe allergy reactions is made possible by getting enough hours of high-quality sleep.

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Answer:

8

Step-by-step explanation:

The integral test to determine the following  series converges.

Part 1: Convergence condition for the series

n=2 (-1)-¹√√n (n-3)², converge, diverge absolutely.

We will apply the Cauchy Condensation

Test to determine the convergence condition of the given series.

n=2 (-1)-¹√√n (n-3)²

Let's rewrite the general term an in terms of 2^n.

2^n an = 2^n (-1)-¹√√2ⁿ (2ⁿ-3)²

= -2^(n-½)√√(2-³)²= -2^(n-½)2-³/2

= -2^(n-1/2-3/2)=-2^(n-2)

Thus, by Cauchy's condensation test, the convergence of the given series is equivalent to the convergence of the following series: n=0 2ⁿ (-2)ⁿ,

This is a convergent Geometric Series with a = 2 and r = -2.

Since the absolute value of r is less than 1, the series converges.

Therefore, the given series converges.

Part 2: Use the integral test to determine the following series converges or diverges.

4n³ / x=2(1+2n²)³

Here, a_n=4n³/ (1+2n²)³

Integrate this from 1 to infinity, ∫[4n³/(1+2n²)³]dn=a=-2/[(1+2n²)²] which is less than infinity.

Therefore, the given series converges.

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