Pleaseee help! No files please. thanks! ASAP!

Answer:

no I do not know how to do that

Yes, Emma is correct. The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

2(3w-6) = 6w - 12

2(3w-6)

2 • (3w - 6)

2 • 3w - 2 • 6

6w - 12

The expression 2(3w-6) can be expanded by first multiplying the two together. This is done by multiplying the coefficient of 2 with each of the terms inside the parentheses. This results in 2 • 3w - 2 • 6. Next, the terms inside the parentheses can be combined. Since they are both being multiplied by 2, we can simply add the two terms together, resulting in 6w - 12. Thus, the expression 2(3w-6) can be expanded to 6w - 12.The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

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Answer:

(x^2 + 2x - 21) sq units

Step-by-step explanation:

Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle

Area of the larger region = x(x+2)

Area of the larger region =x^2 + 2x

Area of the smaller rectangle = 3 * 7

Area of the smaller rectangle = 21 sq. units

Area of the shaded region = x^2 + 2x - 21

Hence the required expression is (x^2 + 2x - 21) sq units

Answer:

0.14

Step-by-step explanation:

1/7 = 0.142

Since 2<5 the answer is 0.14.

When 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)

Interval notation is a way of writing subsets of the real number line

Given,

6 fewer than s is no less than -78

6-s < -78

Move 6 to right hand side

-s < -78-6

-s < -84

s > 84

Then the interval notation is (84,∞)

Hence, when 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)

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Answer:

The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the value of x, isolate it on one side of the equation.

First, subtract by 8 from both sides.

⇒ x+8-8=15-8

Solve.

Subtract the numbers from left to right.

⇒ 15-8=7

\(\Longrightarrow: \boxed{\sf{x=7}}\)

I hope this helps! Let me know if you have any questions.

Answer:

Answer should be choice 4

Step-by-step explanation:

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

Answer:

216

Step-by-step explanation:

First find the base area

0.25 * √[(5 + 6 + 5) * (-5 + 6 + 5) * (5 - 6 + 5) * (5 + 6 - 5)] = 12

Equation:

12 * (5 + 6 + 5) + (2 * 12) = 216

Checkpoint 4 will be higher than Checkpoint 3 by 108.

In our question, it is given that the Checkpoint 4 value is -99 and the Checkpoint 3 value is -207.

We will use Subtraction. What is Subtraction?

The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).

The operation of subtraction is used to calculate the difference between two numbers. If you have an object group and remove a couple of them, the object group gets smaller. For instance, your friends consumed 7 of the 9 cupcakes you purchased for your birthday party. You are now down to two cupcakes. This can be expressed as a subtraction formula: 9 - 7 = 2, which means "nine less seven equals two." The result of subtracting 7 from 9 is 2, or (9 - 7) Here, we divided two numbers, 9, and 7, by one another to get the difference of 2.

Subtracting the value of Checkpoint 3 from Checkpoint 4, we get:

Checkpoint  - Checkpoint 3 = -207 -(-99)

= -207 + 99 = 108.

Therefore Checkpoint 4 will be higher than Checkpoint 3 by 108.

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The radius of the circle is approximately 1.13 kilometers.

The formula for the area (A) of a circle is:

4 = π\(r^2\)

where r is the radius of the circle and π (pi) is a constant approximately equal to 3.14.

We are given that the area of the circle is 4 square kilometers. So we can set up an equation:

4 = π\(r^2\)

To solve for r, we can divide both sides of the equation by π and then take the square root of both sides:

r = √(4/π)

r ≈ 1.13 km

Therefore, the radius of the circle is approximately 1.13 kilometers.

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Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.

The given inequality is

To solve this inequality we will move the term x from the left side to the right side and the numerical term from the right side to the left side

Subtract 27x from both sides

Now, add 29 to both sides

Divide both sides by 31 to find x

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Substituting these values into the general form of the parabolic equation, we get the equation in standard form: y = 2x^2 - x + 3

To find an equation in standard form of a parabola passing through the given points (-1, 6), (1, 4), and (2, 9), we can use the general form of a parabolic equation:

y = ax^2 + bx + c

Substituting the x and y coordinates of each point into the equation, we can set up a system of equations to solve for the coefficients a, b, and c.

Using the first point (-1, 6):

6 = a(-1)^2 + b(-1) + c

6 = a - b + c     ... Equation 1

Using the second point (1, 4):

4 = a(1)^2 + b(1) + c

4 = a + b + c       ... Equation 2

Using the third point (2, 9):

9 = a(2)^2 + b(2) + c

9 = 4a + 2b + c     ... Equation 3

We now have a system of three equations with three unknowns (a, b, c). We can solve this system of equations to find the values of a, b, and c.

Subtracting Equation 2 from Equation 1, we get:

6 - 4 = a - b + c - (a + b + c)

2 = -2b

Dividing both sides by -2, we obtain:

b = -1

Substituting this value of b into Equation 1, we have:

6 = a - (-1) + c

6 = a + 1 + c

Subtracting 1 from both sides:

5 = a + c     ... Equation 4

Substituting the value of b = -1 into Equation 3, we get:

9 = 4a + 2(-1) + c

9 = 4a - 2 + c

Adding 2 to both sides:

11 = 4a + c     ... Equation 5

Now, we have two equations (Equations 4 and 5) with two unknowns (a and c). We can solve this system of equations to find the values of a and c.

Subtracting Equation 4 from Equation 5:

11 - 5 = 4a + c - (a + c)

6 = 3a

Dividing both sides by 3:

a = 2

Substituting this value of a into Equation 4:

5 = 2 + c

Subtracting 2 from both sides:

3 = c

Therefore, we have found the values of a, b, and c. They are: a = 2, b = -1, and c = 3.

Finally, substituting these values into the general form of the parabolic equation, we get the equation in standard form: y = 2x^2 - x + 3

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The volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

A cylindrical drinking glass has radius 3 cm and height 8 cm.

The volume of a cylinder is 2πr²h

= 2 (3.14) 3² x 8

= 452.16cm³

The jug contains 1.5 litres of water

1 litre = 1000cm³

1.5 litre = 1500cm³

The volume of glass if it is filled upto a horizontal line 2 cm from the top.

volume =  2πr²h

= 2 (3.14) 3² x 6

= 339.12cm³

Number of glasses filled = 1500/339.12 = 4.42

4 glasses can be filled up to the line from the jug

Therefore, the volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

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Absolutely convergent:This means that the series is convergent despite the fact that it has both positive and negative terms. Conditionally convergent it implies that the sequence is convergent, but it does not converge absolutely. As a result, this means that the alternating series theorem can be applied to it.  Divergent:  the sum of its terms is not finite.

When it comes to the given series, we can evaluate its convergence using various techniques. One such method is the ratio test. Applying this method to the given series, we obtain the following: lim n+1/an = 7/n This limit tends to 0 as n tends to infinity. Since this limit is less than 1, we can conclude that the series is absolutely convergent. As a result, we can also conclude that the series is convergent. Therefore, the answer to this question is that the given series is absolutely convergent. the given series is absolutely convergent. By applying the ratio test, we determined that the series is convergent despite the fact that it has both positive and negative terms. As a result, we can conclude that its sum is finite.

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Step-by-step explanation:

x/2 = 3×x/6

sin(x/2) = sin(3x/6)

cos(x/2) = cos(3x/6)

tan(x/2) = tan(3x/6) = sin(3x/6)/cos(3x/6)

looking up triple angle identities for trigonometric functions we find :

cos(3x) = 4cos³(x) - 3cos(x)

so,

cos(x/2) =

cos(3x/6) = 4cos³(x/6) - 3cos(x/6) = 4(3/5)³ - 3×3/5 =

= 4×27/125 - 9/5 = 108/125 - 9×25/125 =

= 108/125 - 225/125 = -117/125 =

= -0.936

sin(3x) = 3×sin(x) - 4×sin³(x)

so,

sin(x/2) =

sin(3×x/6) = 3×sin(x/6) - 4×sin³(x/6)

also remember,

sin²(x) + cos²(x) = 1

therefore,

sin²(x/6) + cos²(x/6) = 1

sin(x/6) = sqrt(1 - cos²(x/6)) = sqrt(1 - (3/5)²) =

= sqrt(1 - 9/25) = sqrt(25/25 - 9/25) =

= sqrt(16/25) = 4/5 = 0.8

so, again

sin(x/2) =

sin(3×x/6) = 3×sin(x/6) - 4×sin³(x/6) =

= 3×4/5 - 4×(4/5)³ =

= 12/5 - 4×64/125 = 12×25/125 - 256/125 =

= 300/125 - 256/125 = 44/125 =

= 3×0.8 - 4×0.8³ = 0.352

tan(x/2) = sin(x/2)/cos(x/2) =

= 44/125 / -117/125 = -44/117 =

= 0.352 / -0.936 =

= -0.376068376...

Both Isaac and Micah are using a compass and straightedge for their constructions.

The differences between their construction steps are:

Isaac is constructing congruent segments, which means he is dividing the original line segment into equal parts, while Micah is constructing a segment bisector, which means he is dividing the line segment into two equal parts and finding the midpoint.

Isaac only needs to mark one point on the line segment with his compass to get two congruent segments, while Micah needs to mark two points and then find the midpoint between them.

The final results of their constructions are different: Isaac will have two congruent line segments, while Micah will have one line segment bisector that splits the original line segment in half.

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Answer:

Step-by-step explanation:

2.9

1.9

-1.6

Answer:

This gives us a square with an area of 225 square units.

Step-by-step explanation:

To find the dimensions of the rectangle with the largest area for a given perimeter of 60, we need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

In this case, we know that P = 60, so we can write:

60 = 2l + 2w

Simplifying this equation, we get:

30 = l + w

To find the largest area of the rectangle, we need to maximize the product of the length and the width, which is the formula for the area of a rectangle, A = lw.

We can solve for one variable in terms of the other using the equation above. For example, we can write:

w = 30 - l

Substituting this expression for w into the formula for the area, we get:

A = l(30 - l)

Expanding and simplifying this expression, we get:

A = 30l - l^2

This is a quadratic equation in l, which has a maximum value when l is halfway between the roots. We can find the roots using the quadratic formula:

l = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = -1, b = 30, and c = 0, so we get:

l = (-30 ± sqrt(30^2 - 4(-1)(0))) / 2(-1)

Simplifying, we get:

l = (-30 ± sqrt(900)) / -2

l = (-30 ± 30) / -2

So the roots are l = 0 and l = 30. We want the smaller value first, so we take l = 0 and find w = 30. This would give us a rectangle with zero area, so it is not a valid solution.

The other root is l = 30, which gives us w = 0. Again, this is not a valid solution because we need both dimensions to be positive.

Therefore, the dimensions of the rectangle with the largest area for a perimeter of 60 are:

l = 15 and w = 15

This gives us a square with an area of 225 square units.

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The Prime factors of 25 are  5² of 5 * 5. Thus, option C is the answer to the given question.

Prime numbers are numbers that have only 2 prime factors which are 1 and the number itself. Examples of prime numbers consist of numbers such as 2, 3, 5, 7, and so on.

Composite numbers are numbers that have more than 2 prime factors that are they have factors other than 1 and the number itself. Examples of composite numbers consist of numbers such as 4, 6, 8, 9, and so on.

Factors are numbers that are completely divisible by a given number. For example, 7 is a factor of 56. Prime factors are the prime numbers that when multiplied product is the original number.

To calculate the prime factor of a given number, we use the division method.

In this method to find the prime factors, firstly we find the smallest prime number the given is divisible by. In this case, it is not divisible by either 2 or 3 it is by 5. Then we divide the number that prime number so we divide it by 5 and get 5 as the quotient.

Again, divide the quotient of the previous step by the smallest prime number it is divisible by. So, 5 is again divided by 5 and we get 1.

Repeat the above step, until we reach 1.

Hence, the Prime factorization of 25 can be written as 5 × 5 or we can express it as (5²)

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In general, for a set A with n elements, the number of distinct pairs of disjoint non-empty subsets of A, whose union is all of A, is given by \(2^{(n-1)} - 1.\)

The number of distinct pairs of disjoint non-empty subsets of set A, whose union is all of set A, can be calculated as \(2^{(n-1)} - 1\). where n is the number of elements in set A.

To understand why this formula holds, let's consider an example:

Suppose set A has 3 elements: {a, b, c}.

The possible non-empty subsets of set A are:

{a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}.

Among these subsets, we need to find pairs of disjoint subsets whose union is all of A. Disjoint subsets are subsets that have no elements in common.

The pairs of disjoint subsets whose union is all of A are:

({a}, {b, c}), ({b}, {a, c}), ({c}, {a, b}).

So in this case, there are 3 such pairs.

Using the formula \(2^{(n-1)} - 1\):

n = 3 (number of elements in set A)

\(2^{(3-1)} - 1\) = 4 - 1

= 3

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a) If the confidence level had been 90% instead of 98%, the new confidence interval would be (0.325, 0.475).

b) If the sample size had been 255 instead of 170, the new confidence interval would be (0.292, 0.508).

c) If the confidence level had been 99% instead of 98%, the new confidence interval would be (0.304, 0.496).

a) First, we find the mean of the original confidence interval:

Mean = (Lower Limit + Upper Limit) / 2 = (0.313 + 0.487) / 2 = 0.4

Margin of Error = (Upper Limit - Mean) = (0.487 - 0.4) / 2 = 0.0435

New Margin of Error = Margin of Error * \((Z_{90} / Z_{98})\)

where \(Z_{90}\) is the critical value for a 90% confidence level, and \(Z_{98}\) is the critical value for a 98% confidence level.

From the standard normal distribution table, we find:

\(Z_{90}\) ≈ 1.645

\(Z_{98}\) ≈ 2.326

New Margin of Error = 0.0435 * (1.645 / 2.326) ≈ 0.0306

Finally, we construct the new confidence interval using the adjusted margin of error:

New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)

                     = (0.4 - 0.0306, 0.4 + 0.0306)

                     ≈ (0.3694, 0.4306)

Therefore, the new confidence interval at a 90% confidence level would be approximately (0.369, 0.431) when rounded to three decimal places.

b) Standard Error = \(\sqrt{(p_{hat} * (1 - p_{hat})) / n}\)

where \(p_{hat}\) is the sample proportion and n is the sample size.

Given that the sample size increases to 255 while the sample proportion remains the same, the new sample proportion is:

\(p_{hat}\) = 68 / 255 ≈ 0.267

Standard Error = sqrt((0.267 * (1 - 0.267)) / 255) ≈ 0.028

For a 98% confidence level, the critical value is \(Z_{98}\) ≈ 2.326.

New Margin of Error = \(Z_{98}\) * Standard Error = 2.326 * 0.028 ≈ 0.065

New Confidence Interval = (\(p_{hat}\) - New Margin of Error, \(p_{hat}\) + New Margin of Error)

                     = (0.267 - 0.065, 0.267 + 0.065)

                     ≈ (0.202, 0.332)

Therefore, the new confidence interval with a sample size of 255 would be approximately (0.202, 0.332) when rounded to three decimal places.

c) From the standard normal distribution table, we find:

\(Z_{99}\) ≈ 2.576

New Margin of Error = Margin of Error * (\(Z_{99}\) / \(Z_{98}\)) = 0.0435 * (2.576 / 2.326) ≈ 0.0482

New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)

                     = (0.4 - 0.0482, 0.4 + 0.0482)

                     ≈ (0.3518, 0.4482)

Therefore, the new confidence interval at a 99% confidence level would be approximately (0.352, 0.448) when rounded to three decimal places.

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My answer's in screenshot format since Brainly bot is suspicious of long answers:

Answer:

-1, 0, 1, 2

Step-by-step explanation:

-1 + 0 + 1 + 2 = 2

Answer:

Step-by-step explanation:

-1,0,1,2

give me brainliest pls

Answer:

A)30705

Step-by-step explanation:

3* 10^4 + 7 x 10^2 + 5 x 10^0

Evaluate the exponent

3⋅10^4+7⋅10^2+5⋅10^0

3⋅10000+7⋅10^2+5⋅10^0

Multiply the numbers

3⋅10000+7⋅10^2+5⋅10^0

30000+7⋅10^2+5⋅10^0

Evaluate the exponent

30000+7⋅10^2+5⋅10^0

30000+7⋅100+5⋅10^0

Multiply the numbers

30000+7⋅100+5⋅10^0

30000+700+5⋅10^0

Evaluate the exponent

30000+700+5⋅10^0

30000+700+5⋅1

Multiply the numbers

30000+700+5⋅1

30000+700+5

Add the numbers

30000+700+5

30705

Answer:

12 i tink

Step-by-step explanation:

Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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