Can someone please answer these questions for me i cant figure them out!! (brainliest promised)
What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.
1. How many repeating digits does the number represented by n have? (2 points)




2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number. (2 points)






3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. (2 points)

4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)






5. Write n as a fraction in simplest form. Show your work. (2 points)

The roots of the quadratic equation 4x^2 + 21 = -20x in simplest form are    x = -1/2 and x = -7/2.

What is quadratic formula ?
The quadratic formula is a standard formula used to solve quadratic equations of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. It is derived using the method of completing the square and provides a simple way to find the roots (or solutions) of the quadratic equation.

The quadratic formula is:

x = (-b ± √(b^2 - 4ac)) / 2a

Steps to be followed:

To solve the quadratic equation 4x^2 + 21 = -20x using the quadratic formula, we first need to rearrange the equation in standard quadratic form, which is ax^2 + bx + c = 0. In this case, we have:

4x^2 + 20x + 21 = 0

So, we can identify a = 4, b = 20, and c = 21. Now we can substitute these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Plugging in the values of a, b, and c, we get:

x = (-20 ± √(20^2 - 4(4)(21))) / 2(4)

Simplifying the expression under the square root, we get:

x = (-20 ± √(400 - 336)) / 8

x = (-20 ± √64) / 8

x = (-20 ± 8) / 8

This gives us two possible solutions:

x = (-20 + 8) / 8 = -1/2

x = (-20 - 8) / 8 = -7/2

Therefore, the roots of the quadratic equation 4x^2 + 21 = -20x in simplest form are x = -1/2 and x = -7/2.

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The mean of the sampling distribution is 200, and the standard deviation of the sampling distribution is 4.

The sampling distribution is a theoretical distribution that represents the behavior of sample means from all possible samples of a given size that can be drawn from a population.

However, the standard deviation of the sampling distribution is not the same as the standard deviation of the population.

Mathematically, we can represent the mean of the sampling distribution as follows:

μ(x) = μ = 200

Where μ(x) represents the mean of the sampling distribution and μ represents the mean of the population.

We can also calculate the standard error of the mean using the following formula:

σ(x) = σ / √(n)

Where σ(x) represents the standard deviation of the sampling distribution, σ represents the standard deviation of the population, and sqrt(n) represents the square root of the sample size.

Plugging in the values given in the problem, we get:

σ(x) = 20 / √(25) = 4

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It is cheaper to drive the old truck, which costs $11.58 to drive 60 miles, compared to the diesel truck, which costs $15.44 to drive the same distance, given the current fuel prices.

An algebraic expression is a mathematical phrase that consists of variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. It is a combination of constants, variables, and operators that represent a value or a relationship between values.

For example, "3x + 5" is an algebraic expression where "3" and "5" are constants, "x" is a variable, and "+" is an operator. The expression can be evaluated by substituting a value for "x" and performing the necessary operations.

Algebraic expressions can also be simplified by combining like terms and using the rules of arithmetic to simplify the expression. For instance, the expression "2x + 3x" can be simplified to "5x" by adding the coefficients of the like terms "x".

Algebraic expressions are used extensively in algebra to represent equations and relationships between variables. They are also used in a wide range of mathematical and scientific applications, including physics, engineering, and finance.

To compare the cost of driving the old truck to the diesel truck, we need to know the fuel efficiency of the old truck. Let's assume that the old truck uses gasoline and has a fuel efficiency of 20 miles per gallon.

To drive 60 miles, the old truck will use 60/20 = 3 gallons of gasoline.

At $3.86 per gallon, the cost of 3 gallons of gasoline is 3 * $3.86 = $11.58.

The diesel truck uses 4 gallons of diesel to drive 60 miles. The cost of diesel is not given in the problem, so we'll assume it's the same as the cost of gasoline, $3.86 per gallon.

At $3.86 per gallon, the cost of 4 gallons of diesel is 4 * $3.86 = $15.44.

Therefore, it is cheaper to drive the old truck, which costs $11.58 to drive 60 miles, compared to the diesel truck, which costs $15.44 to drive the same distance, given the current fuel prices.

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The probability the card is a diamond or a face card is [tex]\frac{11}{26}[/tex].

Probability refers to the likelihood that any random occurrence will occur. This expression refers to estimating the probability that any specific event will take place. For example, when we throw a coin into the air. Possibility: P(A) = f / N, determines the likelihood that an event will occur. Although probability and ratios are linked, the former dictates the latter. The probability of an occurrence must be known before determining its probability.

When we find the probability, we obtain:

There are 52 cards in a standard deck of cards.As there are four suits, there are 12 face cards, which we identify as the Kings, Queens, and Jacks. There are 13 diamonds total, 3 of which are face cards that have previously been counted. There are thus 10 diamonds without faces.

Out of the 52 cards in the deck, 10 diamonds plus 12 face cards equal 22.

P= [tex]\frac{22}{52}[/tex]= [tex]\frac{11}{26}[/tex].

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Answer:

Decreased by 19%.

-------------------------------

Decrease by of x 10% can be shown as a product of x and:

Same applies to the second decrease, then we get a final number:

It represent a one off decrease of:

Hence the answer is 19%.

Answer:

Step-by-step explanation:

100 - 100/10 = 90

90 - 90/10 = 91

100 - 81 = 19%

for a better understanding look at the figure

True. bar graphs (aka. column charts) with error bars are used to show the comparison between two variables, not the relationship.

A confidence intervals bar chart (shown as red lines)

In graphs, error bars are used to graphically show data variability and to denote error or uncertainty in reported measurements. They provide a basic indication of a measurement's accuracy or, alternatively, how far the true (error-free) value may deviate from the reported value. The standard deviation of uncertainty, the standard error, or a specific confidence range (such a 95% interval) are frequently represented as error bars. Due to the fact that these values are not the same, the measure chosen needs to be specified clearly in the graph or supporting text.

According to the definition the statement is true.

True. bar graphs (aka. column charts) with error bars are used to show the comparison between two variables, not the relationship.

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The triangle XYZ has a scale factor of 2.53 and hence side length XY is

7.6 units.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The side WV, of the triangle UVX is 6 and the corresponding side XZ  of triangle 15.2.

So, The scale factor is 15.2/6 = 2.53.

Therefore, The side length XY = 3×2.53 = 7.6.

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We receive the ratio as follows:

7/17.5 = 12/x

We can cross-multiply and solve for x to determine x:

7x = 17.5 × 12

7x = 210

x = 210/7

x = 30

Hence, x has a value of 30 cm.

Measuring is a method that involves comparing an object's characteristics to a reference value to ascertain its attributes. The primary metric for expressing any quantity of items, things, and occurrences is measurement.

In a number of branches of mathematics, we work with several fundamental categories of measurement variables. As follows:

The fundamental idea in the study of science and mathematics is measurement. The qualities of an object or event can be quantified so that we can compare them to those of other objects or occurrences. When discussing the division of a quantity, measurement is the word that is used the most frequently. Also, in that, it requires a specific number of items to complete a specific task. We frequently encounter many measurements kinds for length, weight, times, etc. in our daily lives.

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Answer:

Step-by-step explanation

The bottle had 20 ounces that before and 8 ounces after

8+x=20

20-x=8

20-8=x

20-8=12

Answer:

25

Step-by-step explanation:

let farhan's age be x and his cousin's age be y

sum of ages = x + y = 38

7 years ago (so x-7 and y-7), farhan was thrice as old as his cousin, so 3 * his cousin's past age = farhan's past age= 3 *(y-7) = x-7

subtract y from both sides in the first equation to solve for x

x = 38-y

substitute this into the second equation

3 *(y-7) = 38-y-7

3y-21 = 31-y

add y to both sides to put all y values on one side

4y  -21 = 31

add 21 to both sides to solve for y

4y = 52

y = 13

sum of ages = x + y = 38 = 13 + x so x = 25 = 38-13

The simplified expression is 25/9, of the given expression. 4 + (5/3)² − 2².

What is the exponentiation?

An exponential function is a mathematical function of the following form: f (x) = ax. where x is variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately

To simplify the expression, we need to follow the order of operations, which is:

Evaluate any expressions inside parentheses or brackets.

Exponents (ie, powers and square roots, etc.)

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Using this order, we can simplify the expression as follows:

4 + (5/3)² - 2²

= 4 + (25/9) - 4                     ..........5/3 squared is 25/9 and 2 squared is 4

= (36/9) + (25/9) - (36/9)         ..........rewrite 4 as 36/9 to have a common denominator of 9

= 25/9

Therefore, the simplified expression is 25/9.

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The units for the amount of time that the plane descends are minutes, and the units for the plane's altitude are feet. Let's define a variable t for the amount of time that the plane descends. Then we can write an expression for the plane's altitude in terms of t as:

Altitude = 34,000 - (1,000 * t)

This expression represents the plane's initial altitude of 34,000 feet, minus the rate of descent (1,000 feet per minute) times the amount of time that the plane descends.

To find when the plane will be at an altitude of 3,000 feet, we can set the expression equal to 3,000 and solve for t:

3,000 = 34,000 - (1,000 * t)
31,000 = 1,000 * t
t = 31

So the plane will be at an altitude of 3,000 feet after 31 minutes of descent.

To find how long before the plane touches down on the runway, we can set the expression equal to 0 and solve for t:

0 = 34,000 - (1,000 * t)
34,000 = 1,000 * t
t = 34

So the plane will touch down on the runway after 34 minutes of descent.

Here is the completed worksheet:

Quantity Name | Time | Altitude
--- | --- | ---
Unit | minutes | feet
Given Value 1 | 10 | 34,000
Given Value 2 | | 24,000
Slope | | -1,000
Intercept | | 34,000
Expression | t | 34,000 - (1,000 * t)
Question 1 | 31 | 3,000
Question 2 | 34 | 0

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a. Thor works more hours each week, the quantity of donations the organization raises each week declines, but the link is not very strong.

When two variables are correlated negatively, the other variable's value falls as the value of the first variable rises.

The correlation coefficent, which expresses correlation on a scale from +1 to -1, is used. Numbers less than 0 indicate a negative connection. An increase in one variable confidently foretells a drop in the other when there is a perfect negative correlation, with a coefficient of -1. Non-zero coefficients between +1 and -1 are used to show lower degrees of connection. 0 means there is no propensity for the variables to change simultaneously, either positively or negatively.

a. A weak negative linear relationship between hours worked and donations collected in this context means that as Thor works more hours each week, the quantity of donations the organization raises each week declines, but the link is not very strong.

b. When we say there is a weak correlation between two variables, we are referring to their level of relationship. The negative correlation in this instance indicates that there is a propensity for the amount of donations collected to decline as the time spent working increases, but the relationship is not very strong, indicating that there is a lot of variability in the data and making firm predictions or conclusions based on this correlation alone is challenging.

c. Tom's boss's claim is wrong as the negative correlation or the decline in donation is a mere coincidence and does not have a relation to Thor's work.

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Answer:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

Step-by-step explanation:

Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.

For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 29.2 g

Biscuit mass = 43.8 g

For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

The vertical function of the ball can be modelled using the equation h(t) = 16t^2 + 75t + 4, where h(t) is the height of the ball at time t, 16 is the acceleration due to gravity, 75 is the initial velocity of the ball, and 4 is the initial height of the ball.

Acceleration due to gravity is the rate of change of velocity (speed) of an object in free fall due to the force of gravity. It is denoted by g and is equal to 9.80665 m/s2 at sea level. It is the force of gravity that causes objects to fall to the ground and accelerates them as they approach the ground. When an object is in free fall, it accelerates at a rate of 9.8 m/s2. This means that after one second, the object will be travelling at 9.8 m/s, after two seconds it will be travelling at 19.6 m/s, and so on. Without the force of gravity, objects would not accelerate in free fall.

The equation h(t) = 16t^2 + 75t + 4 models the vertical function of the ball by combining the effects of acceleration due to gravity (16), initial velocity (75), and initial height (4). The term 16t^2 represents the acceleration due to gravity, which causes the ball to accelerate in the vertical direction at a rate of 16 meters per second squared. The term 75t represents the initial velocity of the ball, which causes the ball to move in the vertical direction at a rate of 75 meters per second. Finally, the term 4 represents the initial height of the ball, which is 4 meters. By combining these three effects, the equation h(t) = 16t^2 + 75t + 4 accurately models the vertical function of the ball.

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Answer:

they are

Step-by-step explanation:

divide 12*4=3

9*3=3

same ratio

Answer:

Step-by-step explanation:

ITS GOING LEFT AND RIGHT HOPE THIS HELPS IF NOT TEXT ME PLSS .

Answer: 186 cubic in

Step-by-step explanation:

The library is 20 miles from the community pool as calculated after performing mathematical operations.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, In Hillsdale, the library is due south of the courthouse and due west of the community swimming pool.

Also given,

The distance between the library and the courthouse is 15 miles.

The distance between the courthouse and the city pool is 25 miles,

Using the Pythagorean theorem, we have:

x = 25² - 15²

x² = 625 - 225

x = 400

Taking the square root of both sides, we get:

x = 20

Therefore, the library is 20 miles from the community pool

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For x = 4.1:

Slope of PQ =5.1

For x = 4.01:

Slope of PQ =6.01

For x = 3.9:

Slope of PQ =15.1

For x = 3.99:

Slope of PQ =105.99

From the results above, we can guess that the slope of the tangent line to the curve at P is approximately 6.

To find the slope of the secant line PQ, we need to first find the coordinates of point Q in terms of x:

Q = (x, x² + x + 8)

Then, the slope of the secant line PQ is given by:

(yQ - yP) / (xQ - xP)

where yP = 28 and xP = 4, and yQ and xQ depend on the value of x.

For x = 4.1:

Q = (4.1, 4.1² + 4.1 + 8) = (4.1, 28.51)

Slope of PQ = (28.51 - 28) / (4.1 - 4)

= 0.51 / 0.1

= 5.1

For x = 4.01:

Q = (4.01, 4.01² + 4.01 + 8) = (4.01, 28.0601)

Slope of PQ = (28.0601 - 28) / (4.01 - 4)

= 0.0601 / 0.01

= 6.01

For x = 3.9:

Q = (3.9, 3.9² + 3.9 + 8) = (3.9, 26.49)

Slope of PQ = (26.49 - 28) / (3.9 - 4)

= -1.51 / -0.1

= 15.1

For x = 3.99:

Q = (3.99, 3.99² + 3.99 + 8) = (3.99, 26.9401)

Slope of PQ = (26.9401 - 28) / (3.99 - 4)

= -1.0599 / -0.01

= 105.99

As x approaches 4 from both sides, the x-coordinate of Q approaches 4, and the slope of PQ approaches the slope of the tangent line to the curve at P(4,28). From the results above, we can guess that the slope of the tangent line to the curve at P is approximately 6.

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Answer:

[tex]\sf{The\;Marginal\;Revenue\;} $MR(8) = \boxed{288} \;dollars per unit$}[/tex]

Step-by-step explanation:

What is Marginal Revenue?
Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold

Given the equation for revenue function
[tex]R(q) = -7q^2+400q[/tex]

the Marginal Revenue [tex]MR(q)[/tex] is the first derivative of this function wrt [tex]q[/tex]

[tex]MR(q) = \dfrac{d}{dq}\left(R(q)\right)\\= \dfrac{d}{dq}(-7q^2 + 400q)\\\\= \dfrac{d}{dq}(-7q^2) + \dfrac{d}{dq}(400q)\\\\= -14q + 400\\\\[/tex]

For [tex]q = 8,[/tex] this works out to:

[tex]MR(8) = -14(8) + 400\\\\= -112 + 400\\\\= 288[/tex]

And that is the answer

Step-by-step explanation:

is given above in the pdf

The value of x in the triangle, given the angle measures of the other angles, is D. 100 degrees

To find the value of x, you first need to find the value of the last interior angle in the triangle.

The sum of the interior angles of a triangle would add up to 180 degrees which means that the angle inside would be :

= 180 - 65 - 35

= 180 - 100

= 80 degrees

Angles on a straight line add up to 180 degrees so the value of x, which is on a straight line with 80 degrees, is :

= 180 - 80

= 100 degrees

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cos(0) and sin(0) both have a value of 0, so they would be selected.

cos(pi)/2 is equal to -0.5, and sin(3(pi)/2) is equal to -1, so they would not be selected.

Answer:

1 | 3 | 5

Step-by-step explanation:

sin 0 sin 3pi/2 and tan pi

cos pi/2 is -.5

cos 0 is 1

The equation of the lines with the points (-8, 3) and (-6, 0) is y = -3x/2 + 9.

The equation of the lines with the points (5, 4.5) and (5, -1) is y = 4.5.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (-8, 3), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 3 = (0 - 3)/(-6 + 8)(x + 8)

y - 3 = -3x/2 - 12

y = -3x/2 + 9

For points (5, 4.5) and (5, -1), we have:

At data point (5, 4.5), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 4.5 = (-1 - 4.5)/(-5 - 5)(x - 5)

y - 4.5 = 0

y = 4.5

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The number of students in mrs. Smith's class in exponent form is 3⁷.

Given that, Mrs. Smith has 3¹⁰ pencils in her classroom. Each student gets 3³ pencils.

Let the number of students in the class be represented by n.

To get the number of students in the class, divide the total number of pencils by the number of pencils each student got.

n = Total number of pencils ÷ Number of pencils each student gets

n = 3¹⁰ ÷ 3³

Since they both have the same base, we subtract the exponents

n = 3¹⁰ ⁻ ³

n = 3⁷

Therefore, the number of students is 3⁷.

Option D) 3⁷ is the correct answer.

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The cosine function that would model the tide situation for this beach is given as follows:

y = -3cos(πx/12) + 1.

The function is at it's minimum value at the origin, hence it is a reflected cosine function, defined as follows:

y = -Acos(Bx) + C.

The parameters are given as follows:

The minimum value is of -2, while the maximum value is of 4, for a difference of 6, hence the amplitude of the function is given as follows:

2A = 6

A = 6/2

A = 3.

With no vertical shift, the function should oscillate between -A = -3 and A = 3, but it oscillates between -2 and 4, hence the vertical shift is given as follows:

C = 1.

The period is of 24 hours, hence the coefficient B is given as follows:

2π/B = 24

24B = 2π

B = π/12.

Hence the function is defined as follows:

y = -3cos(πx/12) + 1.

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On solving the provided question we can say that Variable, semi-variable, fixed, and variable is the right answer, hence it is (D).

A variable is something that may be changed in the setting of a math concept or experiment. Variables are often represented by a single symbol. The characters x, y, and z are often used generic symbols for variables. Variables are characteristics that can be examined and have a large range of values.

A semi-variable cost (Mixed)

Cost A's overall cost rises as manufacturing volume grows, but the per-unit cost stays the same. This implies that there are two types of costs: fixed and variable.

B: Variable Cost

The manufacturing volume directly correlates with the overall cost of Cost B. This suggests that the price is purely arbitrary.

Price C: Fixed

Regardless of the volume of output, the overall cost of Cost C is constant. This suggests that the price is set in its entirety.

D: Variable Cost

The manufacturing volume directly correlates with the overall cost of Cost D. This suggests that the price is purely arbitrary.

Variable, semivariable, fixed, and variable is the right answer, hence it is (D).

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Answer:

See below

Step-by-step explanation:

The roots aka solutions to a quadratic equation in standard form:
[tex]ax^2 + bx + c = 0[/tex]
are given by

[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

The term under the square root sign, [tex]b^2 - 4ac[/tex] is called the discriminant

The type and number of roots are determined by the sign of the discriminant

When [tex]b^2 - 4ac = 0[/tex]  there is one real root.
When [tex]b^2 - 4ac > 0[/tex]  there are two real roots.
When [tex]b^2 - 4ac < 0[/tex]  there are two complex(imaginary) roots.