If using the method of completing the square to solve the quadratic equation x²−5x−27=0 which number would have to be added to "complete the square"?

Answer:

A is -3

Step-by-step explanation:

I know it’s kinda late but I hope this helps! And please give brainliest!

32.5 gm of Carbon contains  1.631 * 10²⁴ atoms which is 2.71 moles of carbon.

The ratio between the mass and the amount of substance in any sample of a chemical compound is known as the molar mass of that compound. The molar mass of a material is a bulk attribute rather than a molecular one.

The mass in grams of one mole of a material is known as its molar mass. The symbol for molar mass is g/mol, or grams per mole. The isotopic atomic mass, or mass of a single isotope of any given element, is a ratio between that isotope's mass and the mass of the isotope carbon. -12

The proportionality factor that connects the quantity of material in a sample with the number of component particles in that sample is called the Avogadro constant, often known as NA or L. It has a precise value of 6.02214076*10²³reciprocal moles and serves as a SI defining constant.

12 gm of carbon contains 6.022* 10²³ atoms

1 gm contains 6.022*10²³/12 atoms

32.5 gm of Carbon contains 6.022*10²³* 32.5/12 = 16.31 * 10²³ atoms = 1.631 * 10²⁴ atoms

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Answer:

on my screen it sayes its 50938

Step-by-step explanation:

The maximum height of Anna's golf ball is approximately 7.81 units.

The equation y = \(x - 0.04x^2\) represents the height of Anna's golf ball, where x is the horizontal distance the ball has traveled.

To find the maximum height of the ball, we need to determine the vertex of the parabolic equation. The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -0.04 and b = 1.

x = -b/2a = -1/(2(-0.04)) = 12.5

So, the maximum height of the ball occurs when it has traveled a horizontal distance of 12.5 units. To find the maximum height, we substitute x = 12.5 into the equation:

\(y = 12.5 - 0.04(12.5)^2 = 7.81\)

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The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

Minor of 2: -3

Cofactor of 2: -18

Minor of -8: -2

Cofactor of -8: 16

Minor of 5: -1

Cofactor of 5: 5

Minor of 3: 9

Cofactor of 3: -3

Minor of 9: -2

Cofactor of 9: -18

Minor of 6: -3

Cofactor of 6: 18

Minor of -1: -3

Cofactor of -1: 3

Minor of -2: 6

Cofactor of -2: -12

Minor of -3: 5

Cofactor of -3: -5

The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

The given 2 x 3 matrix is composed of the values 2, -8, 5, 3, 9, 6, -1, -2, and -3. The minors of the matrix can be found by using the Laplace expansion formula and removing the row and column of the element in question. This yields the minors -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors of the matrix can be calculated by taking the determinant of the minor and multiplying it by the sign of the element in question. This results in the cofactors -18, 16, 5, -3, -18, 18, 3, -12, and -5.

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Answer: p=2.4

Step-by-step explanation:

5p + 3 = 15

subtract 3 from both sides and you get

5p = 12

then you divide both sides into 5 and you get

p=2.4 (as a fraction it is: 12/5)

your welcome

Step-by-step explanation:

What you are dealing with is what we call special right triangles. There are two types of right triangles.

30-60-90 triangle- A special

right triangle with side length ratio as

\((a)(a \sqrt{3} )(2a)\)

, where a is any positve number

45-45-90- a special right triangle which side length ratios are

\((a)(a)(a \sqrt{2)} \)

where a is any positve number.

45 45 90 triangles is indicated by two congruent side measures( if the legs are congruent and it has a right angle, it is a 45-45-90.

30-60-90 triangles is indicated by a having at least two of the following angles given (30,60, and 90).

Shortcuts:

For a 45 45 triangle,

the legs are equal while the hypotenuse is the sqr root of 2 times than the legs.

Example, look at 1. The legs side length is 12 so our hypotenuse side length will be

\(12 \sqrt{2} \)

For a 30-60-90 triangle, the side that is adjacent to the 30 and 90 degree measure sqr root of 3 times more than the horizontal leg.

the slanted side or the side which is adjacent to the 30 and 60 degree angle is twice the length of the horizontal leg or the side that is adjacent to the 60 and 90 degree.

Example, look at 3. We need to find x but we are given the horizontal side so just multiply sqr root of 3 to 12.

\(x = 12 \sqrt{3} \)

\(1.12 \sqrt{2} \)

2.Both equal

\(2.8 \sqrt{2} \)

\(3.12 \sqrt{3} \)

4. a=13

\(4.13 \sqrt{3} \)

\(5.9 \sqrt{4} \)

The volume of a sphere is given by the following formula

Where r represents the radius of the sphere.

To find the volume of a sphere with a radius equals to 2, we just need to evaluate r = 2 on the given formula.

The volume of this sphere is 32ft³.

Answer:

Is 50

Step-by-step explanation:

I don’t know

Answer:

5/2

Step-by-step explanation:

Rise = 5

Run    2

Now, with that,  our y intercept is -6 because the line hits the y axis at -6 units. Then, we can setup our own equation for y=

and that is y=5/2 x -6

Then I have attached a graph below to certify my answer.

Answer:

3 whole pizzas required.

Step-by-step explanation:

Given that:

Total number of friends invited by Bob = 11

Total number of people on the birthday party = 11 friends + 1 Bob himself = 12

Each friend has eaten = 2 pieces of pizza

Number of slices in one whole pizza = 8

To find:

Number of whole pizzas required at the birthday party.

Solution:

First of all, let us find the number of slices required for the birthday party.

Number of slices of pizza required for the birthday party = Number of slices eaten by each person multiplied by number of persons at party.

Number of slices of pizza required for the birthday party = 12 \(\times\) 2 = 24

Now, let us divide the total number of slices with the number of slices in one whole pizza to find the total number of whole pizzas required for the party.

Number of whole pizzas required:

\(\dfrac{24}{8} = \bold{3}\)

Answer:

Is it Jose?

Step-by-step explanation:

Your username is Jose

Answer:

if you ask for your name but dont give the people and way of getting to know the answer to this question their is no way we can guess unless out of plain luck next time think this through.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

x = 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

There are 4 groups of 3/4 in 1.

A number line is a visual representation of the real numbers, arranged in a straight line from left to right. It is used to represent and visualize the relative magnitudes and relationships between numbers.

On a number line, each point represents a specific number. The number line is usually drawn with zero in the middle, with negative numbers to the left of zero and positive numbers to the right of zero. The distance between any two points on the number line corresponds to the absolute difference between the two numbers they represent.

The number line can be extended infinitely in either direction, and can be used to represent any real number, including fractions, decimals, and irrational numbers.

The number line is a useful tool for a variety of mathematical operations, such as addition, subtraction, multiplication, and division. For example, adding a positive number to a point on the number line corresponds to moving to the right along the line, while subtracting a negative number corresponds to moving to the right. Similarly, multiplying a number by a positive number corresponds to stretching the number line, while multiplying by a negative number corresponds to flipping the number line over and stretching it.

To determine how many groups of 3/4 are in 1, we need to divide 1 by 3/4:

1 ÷ 3/4 = 4/3

Therefore, there are 4 groups of 3/4 in 1.

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Answer:

its B. -3

Step-by-step explanation:

Remove 3 negative tiles .

Can I get brainliest??????

Answer:

Step-by-step explanation:

its b

Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

P = 334 ft

L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

334 = 2(47 + 2W)

334 = 94 + 4W

334 - 94 = 4W

240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft

Answer:

Option (A)

Step-by-step explanation:

From the given piecewise function that represent the amount of bill from number of units of electricity used is 'x' kWh.

b(x) = 0.10x   when x ≤ 200

         0.15(x - 200) + 20  when x > 200

For x = 400 kWh,

Function which represents the expenses of the bill,

b(400) = 0.15(400 - 200) + 20 [Since x > 200]

           = 0.15(200) + 20

           = 30 + 20

           = $50

Therefore, Option (A) will be the answer.

Given the expression:

We start from the parenthesis inside the brackets. We know that 3-2=1, then:

now, we have that 10^2=100 and 2*11 =22, then:

therefore, the result of simplifying the expression is 78

Answer:

New naira note scarcity

Answer:

9

Step-by-step explanation:

let the number be X

x multiplied by 3 will be equal to 15 + X + 3

3x = 18+X

2x = 18

x = 9

Answer:

9

Step-by-step explanation:

When substituting the given values of a = 4 and b = 2 into the given expression, we find that the result is -60.

To evaluate the expression a+(-b)a+(−b)a, let's substitute the given values for a and b. We are given that a = 4 and b = 2.

First, we evaluate (-b)a as (-2)4, which equals -8. Then, we substitute this value back into the expression:

a+(-b)a+(−b)a becomes 4+(-8)4+(−8)4.

Next, we perform the multiplications:

4+(-8)4+(−8)4 simplifies to 4+(-32)+(-32).

To continue, we simplify the negative values:

4+(-32)+(-32) equals 4-32-32, which further simplifies to -60.

Therefore, a+(-b)a+(−b)a, where a = 4 and b = 2, is equal to -60.

In summary, when substituting the given values of a = 4 and b = 2 into the given expression, we find that the result is -60.

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The shorter side of the tile is 12.5 inches and the longer side is 15 inches.

After 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.

It is given that the website hosting the song uses the function:

\(\rm f(t) = 2002t^2\)    to represent the number of daily hits over time, where t is time in days.

It is required to predict the day on which the number of daily hits reaches 1,000,000.

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

\(\rm f(t) = 2002t^2\)

When f(t) = 1,000,000 then what will be the value of 't'

Simply:

\(\rm 1,000,000 = 2002t^2\\\rm 499.500 = t^2\\\rm \sqrt{499.500} = t\\\rm t = 22.349\ Days\)

t = 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34).

Thus, after 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes), and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.

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The day on which the number of daily hits of the considered song for the specified website reaches 1,000,000 is 23rd day.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

So, suppose the day is t = d (dth day from the launch of the song) on which the daily hits reaches 1,000,000.

Then, evaluating the function \(f(t) = 2002(t^2)\) at t = d should give us 1000000

Putting it, we get:

\(f(d) = 1000000\\2002(d^2) = 1000000\\\\\text{Dividing both the sides by 2002}\\\\d^2 = \dfrac{1000000}{2002}\\\\d = \sqrt{\dfrac{1000000}{2002}}\approx 22.35\)

So after 22th day, ie on 23rd day (as 22.35 = 22 + 0.35 which shows 23rd day is still not completed) of the launch of the song, the number of daily hits reaches 1,000,000.

Thus, the day on which the number of daily hits of the considered song for the specified website reaches 1,000,000 is 23rd day.

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Answer:

-6, 7

Step-by-step explanation:

Answer: B(-6,7)

Step-by-step explanation:

M(-5, 1)      A(-4,-5)       B(x,y)=?

\(\displaystyle\\M_x=\frac{x_A+x_B}{2} \\\\-5=\frac{-4+x_B}{2}\\\\\)

Multiply both parts of the equation by 2:

\(-5(2)=-4+x_B\\\\-10=-4+x_B\\\\-10+4=-4+x_B+4\\\\-6=x_B\\\\Thus,\ x_B=-6\)

\(\displaystyle\\\\\\1=\frac{-5+y_B}{2} \\\\\)

Multiply both parts of the equation by 2:

\(1(2)=-5+y_B\\\\2=-5+y_B\\\\2+5=-5+y_B+5\\\\7=y_B\\\\Thus,\ y_B=7\)

The algebraic expression for the weigh of both baskets where each one contains pumpkins and carrots in kilos is equals to the 7x + 2, in kilos.

We have two baskets where each one contains pumpkins and carrots. We have to determine the both baskets weigh together in kilos. Let's assume that

The number of pumpkins in second basket = x kilos

Now, according to first scenario, first basket contains the pumpkins twice as many kilos of pumpkin as in the second basket. That is the number of pumpkins in first basket = 2x kilos

In second case, the second basket there are three more kilos of carrots than there are kilos of pumpkin in the first. So, the number of carrots in second basket

= (3 + 2x ) kilos

In third case, the first basket has 4 kilos less carrot than the second, that is x

=( ( 3 + 2x) - 4 ) kg

Now, weigh of first basket = carrots + pumpkins = (2x + 2x - 1) kilos

= (4x - 1 ) kilos

Weigh of second basket = carrots + pumpkins = (3 + 2x) kilos + x kilos

= (3 + 3x) kilos

So, weigh of both baskets together

= (4x - 1 ) kilos + (3 + 3x) kilos

=( 7x + 2 ) kilos.

Hence, required expression is 7x + 2.

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Complete question:

You have two baskets. Each contains pumpkins and carrots. In the first basket there are twice as many kilos of pumpkin as in the second, and in the second there are three more kilos of carrots than there are kilos of pumpkin in the first. The first basket has 4 kilos less carrot than the second. How many kilos do both baskets weigh together? Represent it algebraically

If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.

Commission = 8 % of sales

Commission =($2,500)(0. 08)

Commission =$ 200

If yuvia also earns a base salary of $45 per day,

Total salary = base pay + commission].

Total salary =45 +200

Total salary =$245

f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

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