Help me pleaseeeee
Thank you

Completing the square is a mathematical technique used to manipulate quadratic equations into a standard form that makes them easier to solve

The general form of a quadratic equation is:

ax^2 + bx + c = 0

To complete the square, you need to add and subtract (b/2a)^2 to the left side of the equation. This is because (b/2a)^2 is equal to (b/2a) times itself, which means it is a perfect square.

Here is the formula for completing the square:

ax^2 + bx + c = 0

ax^2 + bx = -c

a(x^2 + (b/a)x) = -c

a(x^2 + (b/a)x + (b/2a)^2 - (b/2a)^2) = -c

a(x + b/2a)^2 = -c + (b/2a)^2

The equation is now in the standard form:

a(x + b/2a)^2 = (4ac - b^2)/4a

By taking the square root of both sides, you can solve for x:

x = (-b +/- sqrt(b^2 - 4ac))/2a

This is the quadratic formula, which gives you the values of x that make the equation equal to zero.

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Answer:

answer asap!!!!!!!!!!!

Hey, I’m not sure how to do clue number 5, im rly rly sorry, but I’ve shown how to do #6 below, hope this helped :

f(x) = a(1+r)^x

f(x) = 320(1+ 0.042)^x

f(60) = 320 ( 1 + 0.042)^60

f(60) = 3778

answer : 3778

x² −20x+100

Explanation

You have to factor the expression in order to get your answer.

Do this by expanding out the expression: (x-10)(x-10).

Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get x² multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: x² −10x−10x+100 . Then combine like terms.

here.

The second graph, first quadrant of coordinate plane titled Marie's round of golf could represent Marie's situation.

A coordinate plane is a two-dimensional plane made up of the x-axis and y-axis, two perpendicular number lines. Using the coordinates (x, y), which stand for the horizontal and vertical distances from the origin (the point where the x- and y-axes cross), it is possible to find locations in a two-dimensional space. The first quadrant, second quadrant, third quadrant, and fourth quadrant of the coordinate plane are designated in order anticlockwise.

Given that, she stayed at the first hole for the first 30 minutes. Then she drove away from the first hole for the next 2 hours.

The situation is best described by the graph 2, first quadrant of coordinate plane titled Marie's round of golf with the x axis labeled time in hours and the y axis labeled distance in miles, with a line segment from 0 comma 0 to one half comma 0, a line segment from one half comma 0 to 2 and a half comma 5, and a line segment from 2 and a half comma 5 to 4 and a half comma 0.

Hence, the second graph could represent Marie's situation.

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Answer:

the answer is the graph shone below

i took the test and  IT WAS RIGHT  

Step-by-step explanation:

have a good day!

Answer:

Option 2

 x     y

−3     0

−1      3

 0     4

 3     0

4 3

Step-by-step explanation:

For a relation x →  y to be a function, there can be one and only one value of y for a value of x

Looking at the tables we see that option 1 is out since all x values are 2 andthere are multiple values of y

The last option is out because for x = 0 there are two values of y=-2 and y = 2

Correct choice is the second option which has a unique y value for each value of x

Answer:

option 2 im doing it rn

Step-by-step explanation:

Answer:

The FOIL method is a technique used to multiply two binomials. The word "FOIL" is an acronym that stands for "First, Outer, Inner, Last." I will dive in it briefly for u!

Step-by-step explanation:

To use the FOIL method, you multiply the first term of the first binomial with the first term of the second binomial. Then, you multiply the outer terms (first term of the first binomial and the second term of the second binomial), followed by the inner terms (second term of the first binomial and the first term of the second binomial), and finally the last terms (second term of both binomials). You then combine the like terms to simplify the result.

The FOIL method is especially useful when multiplying polynomials, which are expressions with one or more terms involving variables with various powers. For example, to multiply the binomials (x + 3) and (x - 2), you would use the FOIL method as follows:

First: x × x = x²

Outer: x × (-2) = -2x

Inner: 3 × x = 3x

Last: 3 × (-2) = -6

Combine the like terms: x² - 2x + 3x - 6 = x² + x - 6

Thus, the product of (x + 3) and (x - 2) is x² + x - 6.

Answer:

The FOIL method is a mnemonic device used to multiply two binomials. It stands for "First, Outer, Inner, Last" and it is a step-by-step process that helps to remember the order of operations for multiplying binomials. When multiplying two binomials, the FOIL method involves multiplying the first terms, then the outer terms, then the inner terms, and finally the last terms, and then adding the resulting terms together to simplify the expression.

The FOIL method is used in polynomial algebra because it is an efficient way to multiply two polynomials of degree one, also known as binomials. When multiplying two binomials, we can use the FOIL method to distribute each term in the first binomial to each term in the second binomial, resulting in a new polynomial expression. This method allows us to simplify polynomial expressions and solve equations by factoring, which is a crucial skill in algebra and calculus.

In summary, the FOIL method is a mnemonic device used to multiply two binomials by remembering the order of operations for each term. This method is commonly used in polynomial algebra because it is an efficient way to simplify polynomial expressions and solve equations by factoring.

The area of the shaded region is 5π  

The sector of a circle refers to the region enclosed by two radii of a circle and the arc between them. It is a part of the whole circle, and its area can be calculated using the following formula:

where θ is the central angle (in degrees) of the sector, r is the radius.  

Here we have

The length of arc FG = 5/3 π  and measure of ∠FEG = 50°

As we know Arc Length = θ × (π/180) × r  

=> Length of arc FG = 50 × (π/180) × r

From the given data,

=> 50 × (π/180) × r = 5π/3

=> 5 × (1/18) × r = 5/3

=>  (1/6) × r = 1

=> r = 6 units  

Hence, the radius of the circle is 6 units

By using the formula,

Area of a Sector of Circle = (θ/360°) × πr²

Area of shaded region = (50/360) × π(6)²  

= (5/36) × π(36)

= (5/36) × π(36)

= 5π  

The area of the shaded region is 5π  

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Answer:

K=27/2

Step-by-step explanation:

Hope this helps!

Answer: k = 27/2 = 13 1/2 = 13.5

Step-by-step explanation: Brainliest? That answer is right. I just solved it

Answer: 2016

Step-by-step explanation: Since you need to find the area of everything u need to multiply it all h*ft*w (height*width*wide) so 18*14*8=2016

If the whole number n is such that n * (n+28) is a prime number.  the prime number is 29.

We can start by expanding the expression n × (n+28) to get n^2 + 28n. Notice that n^2 + 28n is a quadratic expression that can be factored as n(n+28). Therefore, if n × (n+28) is a prime number, then n and n+28 must be either 1 and the prime number or the prime number and 1 (since a prime number has only two positive factors, 1 and itself).

If n = 1, then n+28 = 29, and n × (n+28) = 1 × 29 = 29, which is a prime number.

If n+28 = 1, then n = -27, which is not a whole number.

Therefore, the prime number in question is n × (n+28) = 29.

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a) The probability of finding oil is 0.70, or 70%.

b) The new probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil, which is  1.00 or 100% .

(a) The probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil, since both of these outcomes are considered positive for the oil company:

P(find oil) = P(high-quality oil) + P(medium-quality oil) = 0.50 + 0.20 = 0.70

Therefore, the probability of finding oil is 0.70, or 70%.

(b) To interpret the soil test, we can use Bayes' theorem:

P(Ai | S) = P(S | Ai) * P(Ai) / P(S)

where P(Ai | S) is the updated probability of finding oil given the soil test, P(S | Ai) is the probability of observing the soil test result given that there is oil of the corresponding quality, P(Ai) is the prior probability of finding oil of the corresponding quality, and P(S) is the probability of observing the soil test result regardless of the presence of oil.

Using the given probabilities, we can calculate:

P(S) = P(high-quality oil) * P(S | high-quality oil) + P(medium-quality oil) * P(S | medium-quality oil) + P(no oil) * P(S | no oil)

= 0.50 * 0.20 + 0.20 * 0.80 + 0.30 * 0.20

= 0.26

Now we can calculate the updated probabilities for each quality of oil:

P(high-quality oil | S) = P(S | high-quality oil) * P(high-quality oil) / P(S)

= 0.20 * 0.50 / 0.26

= 0.3846 or 0.38 (rounded to two decimal places)

P(medium-quality oil | S) = P(S | medium-quality oil) * P(medium-quality oil) / P(S)

= 0.80 * 0.20 / 0.26

= 0.6154 or 0.62 (rounded to two decimal places)

P(no oil | S) = P(S | no oil) * P(no oil) / P(S)

= 0.20 * 0.30 / 0.26

= 0.2308 or 0.23 (rounded to two decimal places)

The oil company should interpret the soil test as providing evidence for the presence of medium-quality oil, since the updated probability for this outcome is higher than the updated probability for high-quality oil. The revised probabilities for finding oil are:

P(find high-quality oil | S) = P(high-quality oil | S) = 0.38

P(find medium-quality oil | S) = P(medium-quality oil | S) = 0.62

P(find no oil | S) = P(no oil | S) = 0.23

Therefore, the new probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil, which is:

P(find oil | S) = P(find high-quality oil | S) + P(find medium-quality oil | S)

= 0.38 + 0.62

= 1.00 or 100% (rounded to two decimal places)

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The conversion of 65 kilos in pounds is equivalent to approximately 143.3 pounds.

Its name derives from the Latin word "poundus" meaning "weight". The £ symbol comes from an ornate L in Libra. The pound was a unit of currency as early as 775AD in Anglo-Saxon England, equivalent to 1 pound weight of silver.The approximation we use for kilograms (kg) to pounds (lb) is 1 kg = 2.2 lb. To convert from kilogram to pound, we multiply by 2.2. To convert from pound to kilogram, we divide by 2.2.

To convert 65 kilograms to pounds, you can use the conversion factor of 1 kilogram = 2.20462 pounds.

Therefore,65 kilograms = 65 x 2.20462 pounds= 143.3003 pounds (rounded to 4 decimal places)

So, 65 kilograms is equivalent to approximately 143.3 pounds.

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Answer:

25.62 grams of cocoa

Step-by-step explanation:

To find the number of grams of cocoa in Keith's chocolate bar, we need to multiply the weight of the chocolate bar in grams by the percentage of cocoa in decimal form.

First, we convert the percentage to a decimal by dividing it by 100:

42% = 42/100 = 0.42

Next, we multiply the weight of the chocolate bar by the percentage of cocoa:

0.42 x 61 = 25.62

Therefore, the chocolate bar contains 25.62 grams of cocoa, rounded to the nearest tenth.

Answer:

25.62

Step-by-step explanation:

42 / 100 × 61

= 0.42 × 61

= 25.62

To solve for y, isolate y on one side of the equation by performing inverse operations, and simplify the expression as much as possible.

To solve for y online, input the equation into an equation solver or a mathematical software tool, and select the "solve for y" option. This will allow you to isolate the variable y and solve for it algebraically. There are many online equation solvers and mathematical software tools available that can perform this task quickly and easily. Simply input the equation, select "solve for y," and the tool will generate the solution set for the equation in terms of y.

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The error in the solution is that, In step 2, the Distributive Property was applied incorrectly.

Equations are mathematical expressions consisting of two or more variables and constants on two sides connected by an equal to sign.

Solution of the equation is the value of the variable that the equation holds true.

Given equation is,

8 - [tex]\frac{a}{2}[/tex] = 3 (4 - 5a)

Using the multiplication property of equality, multiplying whole equation by 2,

(2 × 8) - a = 6 (4 - 5a)

16 - a = 6 (4 - 5a)

Distributive property states that, for three numbers or expressions, a, b and c,

a (b + c) = ab + ac

Applying that,

6 (4 - 5a) = (6 × 4) - (6 × 5a) = 24 - 30a

But the student didn't multiply 6 with 5a, and thus he got 24 - 5a in step 2.

Hence the incorrect step is step 2 because of incorrect use of distributive property.

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Your question is a bit confusing. The complete question with an image is given below.

A student provided the steps for solving an equation. Which statement describes the error in the solution?

Equation : 8 - [tex]\frac{a}{2}[/tex] = 3 (4 - 5a)

When rotated about its center, a regular hexagon has 6 rotational symmetries. In addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

Geometry is a branch of mathematics that deals with the study of spatial relationships and properties of shapes, sizes, positions, and dimensions of objects. It is concerned with points, lines, angles, curves, surfaces, and solids in both two and three-dimensional space. Geometry has practical applications in fields such as engineering, architecture, computer graphics, and physics. It is also a fundamental part of mathematical education, helping students develop skills such as logical reasoning, problem-solving, and spatial visualization. Finally, geometry has a rich history, dating back to ancient civilizations such as the Greeks, Egyptians, and Babylonians.

When rotated about its center, a regular hexagon has 6 rotational symmetries. In addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry, where each line passes through a vertex and the midpoint of the opposite side.

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For the given rectangle, the angles are:

1 = 72°

2 = 36°

3 = 18°

4 = 144°

What is a rectangle?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length. A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

The given figure is a rectangle.

The angle 3 = 18°

This is because they are alternate angles.

In triangle ADC,

 ∠DAC = 180 - ( 18 + 90) = 72°

The angles  ∠DAC and  ∠BCE are alternate angles.

∠BCE and 1 are congruent angles.

1 = 72°

2 = 180 - ( 72+72) = 36°

From triangle BDC,

∠CDE = 180 - (72+90) = 18

So 4 = 180 - ( 3+∠CDE ) = 180 - (18+18) = 144°

Therefore for the given rectangle, the angles are:

1 = 72°

2 = 36°

3 = 18°

4 = 144°

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The value of the 5y coefficient is 5 and The constant is 4 in the formula 4.

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

5y+b+4

You can decompose the equation 5y+b+4 into the terms 5y, b, and 4.

Coefficients are a type of numerical element that multiply a variable. The term 5y is used to multiply the variable y, so the coefficient is 5. That 5 is a coefficient, as Jake claims, is therefore true.

Constants are numbers with no variables. As 4 contains only a constant and no variables, the answer is 4. Hence, 4 is a constant.

Hence The value of the 5y coefficient is 5 and The constant is 4 in the formula 4.

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Answer:

28 daisies

Step-by-step explanation:

4:2 = daisies:carnations

4:6 = daisies:total flowers

4/6 = x/42    x=number of daisies

6x = 4(42) = 168

x = 168/6 = 28

y = number of carnations = 42 - 28 = 14

Double check the answer:

28/14 = 4/2    ratio is correct!

Answer:

Below

Step-by-step explanation:

tan x  = 110 /11

Arctan( tan x) = arctan(110/11)

   x     =   84.3°

An irrational number of the numbers are,

⇒ √150

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

All the numbers are,

A) √121

B) √150

C) √400

D) √1,000,000

Now, We can simplify as;

A) √121 = 11

Hence, It is a rational number.

B) √150 = 12.2474..

Hence, It is a irrational number.

C) √400 = 20

Hence, It is a rational number.

D) √1,000,000 = 1,000

Hence, It is a rational number.

Thus, An irrational number of the numbers are,

⇒ √150

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Answer:

Step-by-step explanation:

the answer is c

after distributing 13 to the expression within the Parentheses we get the equation 13*19 - 13x which can then be further simplified to 247 - 13x

Work Shown:

5/32 divide 25/4

(5/32) * (4/25)

(5*4)/(32*25)

(5*4)/(8*4*5*5)

(1)/(8*5)

1/40

Variance in statistics is the squared difference between a random variable's expected value and its mean value.

Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a set of data (numbers) are from their mean (average) value.

Finding the expected difference of deviation from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.

Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data spread from mean.

[tex]Var(X) = E[(X-\mu)^2][/tex]  

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The value on converting 169 lbs to Kilograms (Kg) is  equivalent to 76.65 Kg .

The Pound (lbs) and Kilogram (Kg) are both the units of measurement used for weight or mass.

They both belong to different systems of measurement. Pound is a unit of measurement in the Imperial and US Customary systems, whereas kilogram is a unit of measurement in the International System of Units (SI).

We know that One pound is = 0.4535 kilograms,

We have to convert 169 lbs to Kg ,

We write ;

⇒ 169 lbs = 169 × 0.4535 Kg ;

⇒ 169 lbs = 76.6415 Kg ≈ 76.65 Kg .

Therefore , 169 lbs is approximately equal to 76.65 Kg .

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Answer:

1) x=5, y=5sqrt(2)

2) x=14

3) 7sqrt(2)

Step-by-step explanation:

I will give you a quick lesson.

The formula is a² + b² = c²

The longest line(usually the bottom) is C

If something is squared, multiply it by itself, for example, 6² is 36, multiply 6 by 6(6 x 6).

Do the same thing with a and b.

Then add a and b after you square them.

To make the number smaller, square root it.

Then you will get your answer, don't forget the exponent.

Sorry for not giving you the answer, but I hope this quick lesson helped you, this is how I learned, I hope this makes it easier for you. Have a GOOD DAY!

The total amount of space taken up on the sign by the letters in Hannah's name is between 3 and 4 whole numbers.

If each letter takes up 5/8 inch of space, then the total amount of space taken up by all 6 letters in Hannah's name is:

6 letters × 5/8 inch per letter = 30/8 inches = 3 6/8 inches = 3 3/4 inches

To find the range of whole numbers between which 3 3/4 inches falls, we can convert 3 3/4 to an improper fraction:

3 3/4 = (4 × 3 + 3)/4 = 15/4

Now we can find the two whole numbers that 15/4 is between by dividing 15 by 4:

15 ÷ 4 = 3 with a remainder of 3

So 15/4 is between 3 and 4, specifically:

3 < 15/4 < 4

Therefore, the total amount of space taken up on the sign by the letters in Hannah's name is between 3 and 4 whole numbers.

A fraction is a mathematical concept that represents a part of a whole. It is typically written in the form of one number (the numerator) over another number (the denominator), separated by a horizontal line. For example, 3/4 is a fraction where the numerator is 3 and the denominator is 4.

The numerator represents how many parts of the whole we are referring to, and the denominator represents the total number of equal parts that make up the whole. So, 3/4 represents 3 out of 4 equal parts of a whole. Fractions are used to represent quantities that are not whole numbers, such as 1/2, 3/5, and 7/8.

Fractions are used in many different areas of math and everyday life, such as in measurement, cooking, and finance. They are also an important concept in understanding other mathematical ideas like decimals and percentages.

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Below is the code required to Create a dice rolls application that displays 5 rolls of two dice in Java.

Here is a Java program that displays 5 rolls of two dice:

import java.util.Random;

public class DiceRolls {

   public static void main(String[] args) {

       Random random = new Random();

       int rolls = 5;

        for (int i = 0; i < rolls; i++) {

           int die1 = random.nextInt(6) + 1;

           int die2 = random.nextInt(6) + 1;

           int sum = die1 + die2;

           System.out.println("Roll " + (i+1) + ": " + die1 + " + " + die2 + " = " + sum);

       }

   }

}

Explanation:

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Answer:

x = 5.88

Step-by-step explanation:

by simplifying both sides of the equation, then isolating the variable.

Answer: 16 lbs.

Step-by-step explanation:

If there are 7 packages and all of the packages weigh the same, then you would divide the number of packages by the total weight of the packages.

112÷7=16. 16 would be the weight of each package individually.

So, the answer is C;16 lbs.