Please help!

Solve the equation using the steps:

2(x + 8)= 2x + 8


Step 1: __________ to get _________


Step 2: _________ to get _________


There is ________ solution(s).


Word bank


Distribute

Combine Like Terms

2x+16=2x+8

2x+8 =2x+8

Subtract x on both sides

Add x to both sides

x+16=8

x = 2

x = -8

16 = 8

x + 8 = 8

One

No

Infinite

2x + 8 = x

Subtract 2x on both sides

8 = -x or x = -8

Add 2x to both sides

Answer: AS 1

Step-by-step explanation:

The average cost of gas in June 2022 is $5.01

In September of 2021, gas cost $3.17 on average in the United States.

By June of 2022, the cost of gas had increased by 58%, so we can calculate the increase as:

Increment = 3.17 * 0.58 = 1.84

Adding the increase to the starting price:

3.17 + 1.84 = 5.01

So in June of 2022, gas cost $5.01 on average in the United States.

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Answer: y = -11

Step-by-step explanation:

-5x + 2y + 10 = 8

(If x= -4, then...)

or -5(-4) + 2y+10=8

or 20 + 2y + 10 = 8

or 2y = 8-20-10

or 2y = -22

or y = -22/

or y = -11

The sides of a right triangle that would form a right triangle is 9 m, 40 m, 41 m. 9 yards. 12 yards, 15 yards and 15 miles. 8 miles. 17 miles

An equation is an expression that shows the relationship between two or more numbers and variables.

Pythagoras theorem states that for a right angled triangle, the sides of the triangle are related to each other using the expression:

(hypotenuse side)² = (adjacent side)² + (opposite side)²

The sides of a right triangle that would form a right triangle is 9 m, 40 m, 41 m, because:
41² = 40² + 9²

Also, 9 yards. 12 yards, 15 yards, because:

15² = 9² + 12²

15 miles. 8 miles. 17 miles, because

17² = 15² + 8²

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The probability is the likelihood that anything will happen, and in November, the probability of receiving a diamond or a 7 is 1/39.

Simply put, the probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

Probability is a measure of how likely something is to occur.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.

So, in 52 cards, there are 13 diamonds and 4 sevens ( one of 7 included in 13 diamonds)

Getting a 7 or a diamond:  (13 + 4 - 1) /52 = 16 / 52 = 4 / 13

November: 1 / 12

4 / 13 * 1 / 12 = 4 / 156 = 1 / 39

Therefore, the probability is the likelihood that anything will happen, and in November, the probability of receiving a diamond or a 7 is 1/39.

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Therefore , the solution of the given problem of velocity comes out to be (-8*(1 + h)² + 24*(1 + h)) - 16 / h

Velocity is a vector quantity that measures the rate of change of an object's position in space. It is defined as the rate of change of an object's displacement over a specific interval of time .

In physics, velocity is one of the most important quantities used to describe the motion of an object. It is used to calculate the acceleration of an object, the work done on an object, and the force required to change the velocity of an object.

Here,

The average velocity of an object over an interval [t1, t2] is given by the formula:

V = (x(t2) - x(t1)) / (t2 - t1)

where x(t) is the position function.

a) Average velocity over [1, 4]:

V = (-84² + 244) - (-81² + 241) / (4 - 1)

= (-816 + 96) - (-81 + 24) / 3

= (96 - 128) / 3

= -32 / 3

b) Average velocity over [1, 3]:

V = (-83² + 243) - (-81² + 241) / (3 - 1)

= (-89 + 72) - (-81 + 24) / 2

= (72 - 64) / 2

= 8 / 2

= 4

c) Average velocity over [1, 2]:

V = (-82² + 242) - (-81² + 241) / (2 - 1)

= (-84 + 48) - (-81 + 24) / 1

= (48 - 32) / 1

= 16

d) Average velocity over [1, 1 + h]:

V = (-8*(1 + h)² + 24*(1 + h)) - (-81² + 241) / ((1 + h) - 1)

= (-8*(1 + h)² + 24*(1 + h)) - (-8 + 24) / h

= (-8*(1 + h)² + 24*(1 + h)) - 16 / h

The value of h is any real number greater than 0, so the answer is a general expression that depends on the specific value of h.

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Yes, these steps are correct for solving a linear equation with one variable.

Variables on the same side: This step involves rearranging the equation so that all the terms with the variable are on one side and all the constant terms are on the other. This is done so that we can isolate the variable and find its value.

Use distributive property to remove parentheses: If there are parentheses in the equation, we can use the distributive property to remove them. For example, if the equation is 3(x + 2) = 9, we can distribute the 3 to get 3x + 6 = 9.

Combining like terms involving the variable: After distributing, we can combine like terms, i.e., terms with the same variable, to get a simplified equation. For example, if the equation is 3x + 2x = 5, we can combine the terms to get 5x = 5.

Subtracting non-variable terms from both sides: If there are any constant terms on the side with the variable, we can subtract them from both sides to isolate the variable even further. For example, if the equation is 5x = 5, we can subtract 5 from both sides to get 0 = 0.

Isolate the variable: The final step is to divide both sides by the coefficient of the variable to find its value. For example, if the equation is 0 = 0, we can divide both sides by 5 to get x = 1.

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The sum of the first K numbers is (K * (K + 1)) / 2

For the first K odd numbers, the formula is K^2

First K numbers

The formula (K * (K + 1)) / 2 represents the sum of the numbers from 1 to K,

This is so because it counts the total number of dots in the triangle (K * (K + 1)) and then divides by 2 to account for double-counting the dots in the middle row.

So, we have

Sum = (K * (K + 1))/2

Odd numbers

For the sum of the first K odd numbers, we can use the formula K^2.

This formula works because odd numbers can be represented as (2n - 1), where n is a positive integer.

So, the first K odd numbers can be represented as

(2 * 1 - 1) + (2 * 2 - 1) + ... + (2 * K - 1).

Expanding the terms and simplifying, we get K^2.

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Step-by-step explanation:

a scientific number like 8.14 × 10^-7 is simply a form of

a × b

all operations with scientific numbers base on this.

multiplication :

(a × b) × (c × d) = a × b × c × d

or any other combination, as multiplication is commutative.

e.g. a × c × b × d

if it helps with a better understanding and the combination of factors of the same base.

addition :

(a × b) + (c × d)

this cannot be simplified per se.

we need to bring factors of both terms to the same base in order to be able to add them.

so,

part A

the area of a rectangle is

length × width

so, we have

8.14 × 10^-7 × 3.6 × 10^-9

as explained above, to make this better visible we combine factors of the same base :

8.14 × 3.6 × 10^-7 × 10^-9

remember, when multiplying factors of the same base, we simply add the exponents :

10^-7 × 10^-9 = 10^(-7 + -9) = 10^-16

and

8.14 × 3.6 = 29.304

so, the total result is

29.304 × 10^-16 m²

part B

a scientific number has exactly one significant digit (not 0) in front of the decimal point, and all other significant digits after the decimal point.

so, what do we need to convert

29.304 × 10^-16

to that ?

we need to divide the left part by 10. but to keep the value of the total number unchanged, we then need to multiply the right part by 10. in other words, we multiply by 10/10.

and we get

2.9304 × 10^-15 m²

part C

the perimeter of a rectangle is

2×length × 2×width

2×8.14×10^-7 + 2×3.6×10^-9

the first step is easy : simplifying the multiplications by 2.

16.28×10^-7 + 7.2×10^-9

now, we can only add them, if there is the same factor in each term.

and the easiest way to get to that is a manipulation of the 10-factors.

let's bring 10^-7 to 10^-9. that means a division by 100. remember, we need to keep the overall value of the number. what, what we do to one factor we need to counter in the other factor :

16.28×10^-7 = 100/100 × 16.28×10^-7 =

= 100×16.28 × (10^-7)/100 =

= 1628 × 10^-9

now we can add both numbers

1628×10^-9 + 7.2×10^-9 = 1635.2×10^-9 m

part D

remember what we said in part B.

here now we need to divide the left part by 1000. which means we also need to multiply the right part by 1000.

1635.2×10^-9 × 1000/1000 = 1.6352 × 10^-6 m

Therefore , the solution of the given problem of ratio comes out to be

 x = 13/22 cups of dish soap.

A set of equivalent variables "a" and "b" can be defined using the straightforward formula "a / b," where "b" may be bigger than zero. Two ratios are combined to make one ratio. The ratio would indeed be 1:1 if there were just one guy and three women. 3/4 of the group are girls, while 1/4 are boys. Parts can be a division between one or more items, a number, or a portion of the volume of a component.

Here,

Given:

=> 1/2 cup of dish soap

=> 11/2 cups of water

and,

Ratio of dish soap and water is

=> 1/2 : 11/2

=> 1 : 11

After 1 cup addition of water:

=> 11/2 + 1 = 13/2

and

Let x be the new cup of dish soap

So, ratio :

=>  x : 13/2 =  1 : 11

=> 2x : 13 = 1:11

=> 13 = 22x

=> x = 13/22

Therefore , the solution of the given problem of ratio comes out to be

 x = 13/22 cups of dish soap.

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Answer:

Ok

Step-by-step explanation:

Answer: i think 4.81

Step-by-step explanation:

The expected rate of inflation is 0.068627 or 6.86%.

Real Rate of return:

The real rate of return defines the actual amount of return earned by an investment. Inflation reduces the real rate of return, so investor tries to invest in securities that could fetch more return than inflation.

The general formula of the inflation rate is:

[tex]IR=\frac{1+R_1}{1+R_2} -1[/tex]

Given information is that

Nominal rate of return(R1)=9%

Real rate of return(R2)=2%

Now substitute these values in the above formula:

[tex]IR=\frac{1+R_1}{1+R_2} -1\\\\IR=\frac{1+0.09}{1+0.02} -1[/tex]

IR=1.068627-1

IR=0.068627 or 6.86%

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The polynomial function will be x² + (10 - √7)x + 4 ( 6 - √7).

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given that the zeroes of the polynomials are 4,6−√7. The polynomial can be written as:-

( x + 4 ) ( x + 6 -√7)

x² + 6x - √7x + 4x 24 - 4√7

x² + ( 10 - √7 )x + 4(6 - √7)

Hence, the polynomial function will be x² + (10 - √7)x + 4 ( 6 - √7).

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Answer:

Step-by-step explanation:

The equation of the line can be found using the point-slope form:

y - y1 = m (x - x1)

where m is the gradient, (x1, y1) is a point on the line.

For the given information:

m = 3, x1 = -1, y1 = 3

Plugging in the values into the point-slope form:

y - 3 = 3 (x - (-1))

Simplifying the equation:

y = 3x + 6

So, the equation of the line is: y = 3x + 6

Answer:

0.26

Step-by-step explanation:

26% divide by 100%.  The percentage signs cancel out and when you divide by 100, you move the decimal point two places to the left.            

Answer:

0.26

Step-by-step explanation:

What is the decimal multiplier for 26%? The decimal multiplier is 0.26 .

pls, tell me if wrong have a good day/night<3 and remember your beautiful

The equation that represents the total cost that Debra paid is: C = 5N

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Information about the problem:

The function that models the situation is the following:

C = 5N

Where:

Number of notebooks = N

Cost of each notebook = $5

Total cost = C

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Correctly written question:

Debra purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Debra paid.

This study may have both selection and participation bias. Selection bias occurs when the sample is not randomly selected and not representative of the population of interest.

Participation bias occurs when certain people are more likely to respond to a survey than others. For example, individuals may be more likely to take part in the survey if they have strong opinions on the issue. Additionally, the survey may be limited to those in the 21-to-26-year-old age group in the Army, which may not be fully representative of the entire population's opinions on the issue.

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The variance of x is 258.2, rounded to the first decimal place.

The variance of a discrete probability distribution with values x and corresponding probabilities f(x) is given by the formula:

Var(x) = Σ[x^2 × f(x) - (Σ[x × f(x)])^2]

To find the variance of x, we need to first find the mean of x, which is given by the formula:

mean(x) = Σ[x × f(x)]

Using the given probability distribution f(x), we can calculate the mean and variance as follows:

mean(x) = Σ[x × f(x)] = 0 × (15!/0!(15-0)!) × (1/5)^0 × (4/5)^(15-0) + 1 × (15!/1!(15-1)!) × (1/5)^1 × (4/5)^(15-1) + 2 × (15!/2!(15-2)!) × (1/5)^2 × (4/5)^(15-2) + ... + 15 × (15!/15!(15-15)!) × (1/5)^15 × (4/5)^(15-15) = 15 × (1/5) = 3

Var(x) = Σ[x^2 × f(x) - (Σ[x × f(x)])^2] = 0^2 × (15!/0!(15-0)!) × (1/5)^0 × (4/5)^(15-0) + 1^2 × (15!/1!(15-1)!) × (1/5)^1 × (4/5)^(15-1) + 2^2 × (15!/2!(15-2)!) × (1/5)^2 × (4/5)^(15-2) + ... + 15^2 × (15!/15!(15-15)!) × (1/5)^15 × (4/5)^(15-15) - (mean(x))^2 = 267.2 - (3)^2 = 267.2 - 9 = 258.2

The variance of x is 258.2, rounded to the first decimal place.

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Answer:

On the Venn diagram, these common elements are located inside the intersection of the three circles representing sets A,B and C . From the figure, we see that 7 and 4 belong to this mutual intersection. So, the roster form of set A∩B∩C A ∩ B ∩ C is given as {4,7}

i hope that help, i am not sure if i am correct

The monthly rate percentage is given as follows:

r = 0.65%.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which the parameters are given as follows:

To obtain the monthly interest, we must consider that:

[tex]\left(1 + \frac{r}{12}\right)^{12 \times \frac{1}{12}} = 1.0777[/tex]

Hence the equation is simplified as follows:

r = 0.0777/12

r = 0.0065.

r = 0.65%.

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Therefore , the solution of the given problem of deviation comes out to be

MAD mean = 1.55.

The difference between their means can be estimated by subtracting it from the mean absolute deviation of the two datasets.

The average distance between each data value and the mean is known as a collection of data's mean absolute deviation (MAD).

Here,

Given :

=> Previous year : 46.8 in. with a MAD of 1.5 in

=> Last year :  49.9 in. with a MAD of 1.6 in.

=>Mean = 46.8 +49.9 /2 = 48.35

=> MAD mean = 1.5 + 1.6 = 1.55

The average of each point's "positive distances" from the mean is the mean absolute deviation. The degree of data variability increases with the MAD (the data is more spread out).

Each digit in the data set should be taken, the mean subtracted, and the absolute value calculated. Take the total of the absolute values next. Next, divide the aforementioned sum by the total number of values in the data set to obtain the mean absolute deviation.

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The variable of interest using in this study is the number of bottles/cans per/mile segment. The parameter of interest is the mean number of bottles/cans per one-mile segment of all roads in the state.

It's The amount of change that is measured in experimental studies. One or more of these variables, called study factors, are controlled so that data can be obtained about how the factor affects another variable, called the response variable or simply the response.

As an example, consider an experiment designed to determine the effect of three different exercise programs on cholesterol levels in patients with elevated cholesterol levels. Each patient is called the experimental unit, the response variable is the patient's cholesterol level at the end of the program, and the exercise program is the factor that examines the effect on cholesterol levels. Each of the three exercise programs is called a therapy. 

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The value for the unknow x cannot be equal to 10.

The value of x in the first equation is not equal to 10. To see this, we can substitute x = 10 into the equation:

125 < 12 * 10 = 120

Since 125 is not less than 120, the inequality is false when x = 10. Therefore, x cannot be equal to 10.

A simultaneous equation is a set of two or more equations that contain two or more variables, and all the equations in the set are solved together to find the values of the variables.

Simultaneous equations can be represented graphically as intersecting lines or curves in a coordinate plane. The solution to a set of simultaneous equations is a set of values for the variables that satisfies all the equations in the set.

Simultaneous equations can be solved using various methods such as substitution, elimination, or matrices. The solution to the equations can provide information about the relationships between the variables in a given problem, and can be used to make predictions or find the unknown values in a real-world scenario.

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Explanation:

The equation y = 2 is horizontal. Anything parallel to this will also be horizontal. The answer is of the form y = k, where k is some real number. We replace k with 1 since we need the answer to go through (4,1). All points on the answer line have a y coordinate of 1.

The equation y = 1 is the same as y = 0x+1, which shows we have a slope of 0.

The expression that presents the number of trees that Shannon planted will be 6 - t.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Shannon planted t fewer trees than toby. Toby planted 6 trees.

Then the number of trees that Shannon planted will be given as,

⇒ 6 - t

The expression that presents the number of trees that Shannon planted will be 6 - t.

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The probability that a driver is having a conversation while driving will be 0.3

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The probability that a driver is having a conversation while driving will be:

= Probability of drivers that look at their phone- Those that have conversations

= 0.6 - 0.3

= 0.3

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Answer:

Mike is incorrect.

Step-by-step explanation:

In this figure, corresponding angles are equal. However there is no guarantee that the corresponding sides are equal. For example, ΔDEF may be ΔABC dilated by a scale factor of 10, say. This means the angles will remain the same but the sides will be different

So Mike is incorrect.

Answer:

$500

Step-by-step explanation:

To calculate the interest paid in the first 5 years, you can use the formula for simple interest: I = Prt, where I is the interest, P is the principal (the original amount of the deposit), r is the interest rate (expressed as a decimal), and t is the time (in years).

In this case:

I = P * r * t

I = 5000 * 0.02 * 5

I = 5000 * 0.1

I = $500

So Scott will be paid $500 in interest over the first 5 years.

Answer:

500 is ur answer

Step-by-step explanation:

DONT BELIEVE ME? Ask ur teacher

The equation of the circle with a center at the point (-7,8) and a radius of 4 units is (x + 7)² + (x - 8)² = 16.

The standard form of a circle with a center at (h,k) and a radius r is

(x - h)² + (x - k)² = r².

Since we have center as a point A which is (-7,8) and radius of circle as 4 units ,

h = -7

k = 8

r = 4

Thus the equation of circle is,

(x -(-7))² + (x - 8)² = 4²

This equation simplifies to be ,

(x + 7)² + (x - 8)² = 16

A circle is a two-dimensional object made up of points that are spaced out from a given point (centre) on the plane by a fixed or constant distance (radius). The fixed point is referred to as the circle's origin or center, and the fixed distance between each point and the origin is referred to as the radius.

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