Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answer:  i think (0,3)

Step-by-step explanation:

The probability that a number less than 1 will be rolled is 0 and the probability that the the number rolled will be less than 7 is 1

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space / total possible outcome

A fair die has 6 sides and each sides named from 1 to 6. Therefore the highest number one can get on a die is 6 and the least is 1

Therefore the probability to get a number less than 1 = 0/6 = 0

The probability of getting a number less than 7 = 6/6 = 1

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If Sarah answered 12 questions correctly, then there must have been 15 questions on the quiz in total. This is because 80% of 15 is 12. To calculate this, you would use the equation: (number of correct answers/total number of questions) x 100.

Since Sarah got 80%, if you plug in 12 for the number of correct answers, the total number of questions must be 15.   To check this answer, you can also use the equation: (percentage/100) x total number of questions = number of correct answers. If you plug in 80 for the percentage and 15 for the total number of questions, the answer would be 12, which is the number of correct answers Sarah got. This confirms that there were 15 questions on the quiz.

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The binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).

A polynomial called a binomial has only terms. As an illustration, x + 2 is a binomial, where x and 2 are two distinct terms. Additionally, in this case, x's exponent, coefficient, and constant are all equal to 1.

A binomial is an algebraic expression with two terms that contains a variable, a coefficient, exponents, and a constant. The binomial polynomial x2 + 4x is another illustration. 

Given that

S³-1=( )(s²+s+1) complete the factorization by finding the correct binomial

But this expression follows difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

With this, we can write the binomial as

S³-1=(S - 1)(s²+s+1)

Thus, the binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).

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The range of the function representing the baseball's height is 4 ≤ f(x) ≤ 24.

An equation is a mathematical statement that expresses the relationship between two or more quantities and usually contains one or more unknowns, represented by a letter or symbol. An equation is written in symbolic form and is used to solve a problem or to describe a physical law. Equations can be used to describe anything from simple arithmetic operations to complex scientific equations.

This is because the highest value of the function is f(x) = 24, which is the starting height of the ball before it is thrown, and the lowest value of the function is f(x) = 4, which is the height of the ball when it returns to the ground. Therefore, the range of the function is 4 ≤ f(x) ≤ 24.

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Answer:

Step-by-step explanation:

15

Answer: B.4

Step-by-step explanation:

3-2x=-5

-3        -3

-2x/-2 = -8/-2

x=4

Answer:

B.4

Step-by-step explanation:

3-2x=-5

-3 -3

-2x/-2 = -8/-2

x=4

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 100000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &12 \end{cases}[/tex]

[tex]100000 = P\left(1+\frac{0.08}{12}\right)^{12\cdot 12}\implies 100000=P\left( \frac{151}{150} \right)^{144} \\\\\\ \cfrac{100000}{\left( \frac{151}{150} \right)^{144}}=P\implies \boxed{38411.47\approx P}[/tex]

Answer:

a)

Step-by-step explanation:

By definition; for constant speed,

S = ∆d/t

= 67.5/1.5

= 45

Therefore, the relationship between d and t is giving as; d = 45t

62/100 is the fraction

31/50 is the simplest form

explanation:

62%

= 62/100

= (62/2) / (100/2)

= 31/50

The final answer is 31/50~

62%

to get rid of the percentage sign  and change to a fraction divide by 100

62/100

divide both numbers by to to change to simplest form

= 31/50

31/50 by the way I love how some people realize so many people answered this question already and decide they should add something that is totally not necessary.

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The difference in speed between Explorer B and Explorer A is 1440 miles per hour.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

Given;

Space Explorer B, flies 40000 miles in 20 hours

Average speed = total distance / total time

Average speed of Space Explorer B = 40000 / 20 = 2000 miles per hour

Average speed of Space Explorer A = 72,80 / 13 = 5,60 miles per hour

Difference in speed = 2000 miles per hour - 5,60 miles per hour = 1440 miles per hour.

Therefore, the speed difference will be 1440mph

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The derivative of log x is 1/x because log x represents the inverse operation of taking the exponential of x, and the derivative of the exponential function is 1/x.

1. Take the natural log of both sides (ln):

ln(x) = log x

2. Take the derivative of both sides with respect to x:

d/dx ln(x) = d/dx log x

3. Use the chain rule and the derivative of the natural log function (1/x):

d/dx ln(x) = (1/x) * d/dx x

4. Simplify:

d/dx ln(x) = (1/x) * (1)

5. Final answer:

d/dx ln(x) = 1/x

The derivative of log x is 1/x because it is the inverse operation of taking the exponential of x, and the derivative of the exponential function is 1/x. The chain rule is used to take the derivative of both sides, which results in a final answer of 1/x.

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Yes, All three interior angles of an acute triangle measure less than 90°. The sum of the angles of an acute triangle adds up to 180°.

An acute triangle is a triangle in which all three interior angles are less than 90º. Although the three interior angles of the acute triangle lie between 0° to 90°, their sum is always 180 degrees.

Triangles can be categorised on the basis of angles and sides. An acute triangle is one that is categorised on the basis of the measurement of angles. If all the interior angles of a triangle are less than 90°, then the triangle is stated to be an acute triangle.

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Answer:

D and C

Step-by-step explanation:

Product of (x+3)(x-4) is x² - x - 12.  

The process of multiplying two or more polynomials with others is known as polynomial multiplication.

To obtain the final polynomial, the terms of the first and second polynomials are multiplied.

We can multiply polynomials in a variety of ways depending on the kinds we are using.

Here we have

Multiply: (x+3)(x-4)  

=> x(x) + x(-4) + 3(x) + 3(-4)

=> x² - 4x + 3x - 12

=> x² - x - 12  

Therefore,

Product of (x+3)(x-4) is x² - x - 12.  

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An expression to represent Will's volunteer hours in April is 3+x hours.  An expression to represent Hector's volunteer hours in April is 3+x hours.

yes,Will and Hector volunteer the same number of hours in April.

a) The formula is: Will's volunteer hours in April = Will's hours in March + Lydia's hours in March = 3 + x.

b) We know that Lydia's March hours were ((5-2)+x=3+x) hours, hence Hector's April volunteer hours were 2 hours less than his March hours.

c) We know that Will volunteered for 3+x hours in April.

Hector volunteered for 3+x hours in April.

We can infer that Will and Hector both volunteered the same number of hours in April because both expressions are the same.

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You have found the value of K when an equation has equal roots.

An equation is a mathematical statement that expresses the equality of two expressions. It is usually written in the form of an equation, which uses an equals sign ("=") between two expressions to show that they are equal. Equations can be used to solve for a single unknown value or to express a relationship between multiple variables. Equations can be used to model real-world situations and to solve problems.

When an equation has equal roots, that means that both of its roots are the same. This means that the equation can be written in the form of (x-K)^2 = 0, where K is the value of the root. To find K, you can take the square root of both sides of the equation to get x-K = 0. Then, by adding K to both sides, you can find that K equals x. Thus, you have found the value of K when an equation has equal roots.

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There are 168 positive integers that are there less than 1000 that are relatively prime to 100 with no common factor.

Prime numbers are numbers that have only two factors, that are, 1 and the number itself, and any whole number greater than 1 that is divisible only by 1 and itself, is defined as a prime number.

There are some properties of prime numbers:

To find the prime number, first, we have to find the factors of the given number. If the number of factors is more than two, then the number is not a prime number otherwise it is a prime number.

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Answer: 11

Step-by-step explanation:

The ordered pairings (-2, 3), and (-5, 3), respectively, depict points along a horizontal line.

Let's go over some information on the horizontal line.

If the y-coordinates of every point along the line are equal, the line is horizontal.

The horizontal line's slope is zero and it is perpendicular to the x-axis.

Because the y-coordinates of every point on the line equal b, the equation of the horizontal line through point (a, b) is y = b.

Find the points with the same y-coordinates in order to identify the ordered pairs that represent points along a horizontal line.

Response A:

The paired numbers are (-2, 3), and (-5 , 3)

X is located between -2 and -5.

3 and 3 are the y-coordinates.

The two ordered pairs' y-coordinates are equivalent.

Points (-2, 3) and (-5, 3) are adjacent on a horizontal axis.

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To eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation)

One way of solving systems of linear equations is by using the method of elimination. This method involves adding or subtracting a multiple of one equation to the other in order to eliminate one of the variables.

In order to eliminate one of the variables, you should multiply the first equation by a coefficient that will make one of the variables in the first equation the opposite of the corresponding variable in the second equation when they are added.

For example, if you want to eliminate the variable x, you should multiply the first equation by a coefficient that makes the coefficient of x in the first equation the opposite of the coefficient of x in the second equation.

So if the equation is y = mx + b, to eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation).

It's important to note that you should be careful when choosing the coefficient, you should make sure that you don't divide by zero.

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Work Shown:

[tex]\displaystyle \int_{0}^{2}\text{x}^3d\text{x}\\\\\\\displaystyle \frac{1}{4}\text{x}^{4}+C\bigg|_{0}^{2}\\\\\\\displaystyle \left[\frac{1}{4}2^{4}+C\right]-\left[\frac{1}{4}0^{4}+C\right]\\\\\\4\\\\\\\text{Therefore,} \ \displaystyle \int_{0}^{2}\text{x}^3d\text{x} = 4\\\\[/tex]

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The integral rule I used in the 2nd step was

[tex]\displaystyle \int \text{x}^{n}d\text{x} = \frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex]

in which you can verify it's valid by differentiating [tex]\frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex] to end up with [tex]\text{x}^{n}[/tex] again.

Answer:

To find the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2, we need to evaluate the definite integral:

[tex]\int_{0}^{2} {x}^{3} dx[/tex]

Using the power rule of integration, we can integrate the function as follows:

[tex]\int {x}^{3} dx = \frac{{x}^{4}}{4} + C[/tex]

where C is the constant of integration.

Plugging in the limits of integration, we get:

[tex]\int_{0}^{2} {x}^{3} dx = \left[\frac{{x}^{4}}{4}\right]_{0}^{2}[/tex]

[tex]= \left(\frac{{2}^{4}}{4}\right) - \left(\frac{{0}^{4}}{4}\right)[/tex]

[tex]= \frac{16}{4} - 0[/tex]

[tex]= 4[/tex]

Therefore, the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2 is 4.

Tyrone initially had 1 1/6 cup amount of milk, but after buying 2 5/6 cups of milk at the store, he now has 3 1/6 cups.

1. Start with 1 1/6 cups of milk

2. Add 2 5/6 cups of milk

3. 1 1/6 + 2 5/6 = 3 1/6 cups of milk

Tyrone started out with 1 1/6 cup of milk. This could have been used for any number of things, such as cereal or baking. He then used 1 1/6 cup of this milk to make hot chocolate. After using the milk, Tyrone decided to buy 2 5/6 cups of milk from the store. This was most likely to make up for the milk he had used and to have enough for future use. Adding the 2 5/6 cups of milk to the 1 1/6 cup of milk he had originally gives a total of 3 1/6 cups of milk. This means that Tyrone had 1 1/6 cup of milk to start.

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As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .

The mean of a dataset, often known as the arithmetic mean, is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used indicator of central tendency and is frequently referred to as the "mean." This is obtained by dividing the number of values in the dataset by the sum of all the values. Calculations can be performed using either raw data or data that has been integrated into frequency tables. A number's average is referred to as its average. Simple math can be used to determine: After adding up all the digits, divide by the number of digits. the sum divided by the number.

given

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower, n+1 = 0.25

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

Interquartile Range (IQR) is equal to Q3 - Q1 (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .

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If you doubled a penny every day, you would have $5,368,709.12

You can see that the decision is rather straightforward: having a single penny that doubles every day for a month are preferable to receiving $1 million upfront. This is due to compound interest's strength.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

If I double this particular penny every day, I would have 30 extra pennies, plus my original one. I have $0.31 literal dollars

On day 30, if you doubled a penny every day, you would have $5,368,709.12.

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The polygon with vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) is a rhombus

The vertices of a polygon are the points where the sides of the polygon meet. A polygon is a closed shape that is made up of a finite number of straight line segments. The number of sides in a polygon is called its order or its degree.

The vertices of a polygon can be used to identify the shape of the polygon, for example a triangle with vertices (2,3), (4,5) and (6,7) are different from triangle with vertices (3,4), (5,6) and (7,8)

In addition, the vertices can be used to find the lengths of the sides of the polygon and to calculate its area and perimeter. Vertices can also be used to indicate the relative position of a polygon to other shapes or figures.

It's worth noting that the term "vertex" is also used to refer to the top of a pyramid or cone and the peak of a mountain. In these cases, it refers to the highest point of the object.

In this problem, the vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) when plotted on a graphing calculator shows that the two opposite sides are not equal to one another.

The shape with the vertices is a rhombus.

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Answer:

x=5

Step-by-step explanation:

set (2x+41)=51

subtract 41 from both sides

2x=10

divide each side by 2

x=5

Answer: laws and points

Step-by-step explanation:

L'Hospital's rule applies to the limit of the ratio of two functions when the limit of the function as x approaches a certain value.

In the limit expression, a and b are positive integers, but they do not equal 0, so L'Hospital's rule can't be applied.

L'Hospital's rule applies to the limit of the ratio of two functions when the limit of the function as x approaches a certain value, say c, approaches zero or infinity and the other function also approaches zero or infinity at the same point c. Therefore, L'Hospital's rule applies to the limit of the expression of the form:

lim ( f(x) / g(x) ) as x --> c

where, f(x) and g(x) are functions of x and c is a real number such that

In the limit expression, a and b are positive integers, but they do not equal 0, so L'Hospital's rule can't be applied.

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