Find the linear equation with
Slope= 2/3

y-intercept = 1

Answer:

the desired equation is y = -8x^2 + 3

Step-by-step explanation:

The vertex form of the equation of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex and (x, y) is another point on the graph of the parabola.

Substitute 1 for x, -5 for y, 0 for h and 3 for k.  We obtain:

-5 = a(1 - 0)^2 + 3, or

-5 = a(1) + 3, or -5 = a + 3.  Then a must be -5 -3, or a = -8

and the desired equation is y = -8x^2 + 3

The given function ƒ is found to be integrable on the interval [0, 1]. To prove that the function ƒ : [0, 1] → R is integrable, we need to show that it satisfies the conditions of Riemann integrability.

The conditions for a function to be Riemann integrable are as follows: The function must be bounded on the interval [0, 1]. Since ƒ is a bounded function, this condition is satisfied. The function must be continuous almost everywhere on the interval [0, 1]. In this case, ƒ is continuous at every point except at the points x = 1/n for integers n ≥ 1. Since the set of discontinuities has measure zero (a countable set of points), the function satisfies this condition as well.

Therefore, we can conclude that ƒ is integrable on the interval [0, 1]. As for an example of such a function, one possible function that satisfies the given conditions is: ƒ(x) = 0 if x = 1/n for some integer n ≥ 1, 1 if x ≠ 1/n for any integer n ≥ 1. In this function, the values of ƒ alternate between 0 and 1. It is discontinuous at x = 1/n for integers n ≥ 1 because it jumps from 0 to 1 at those points.

However, it is continuous at all other points in the interval [0, 1]. This function satisfies the requirements of being discontinuous at specific points but continuous elsewhere on the interval [0, 1].

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Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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The measure of reliability of a statistical inference is the significance level. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It determines the threshold for accepting or rejecting a hypothesis.

A lower significance level indicates a higher level of confidence in the results. A descriptive statistic provides information about the data, but it does not directly measure the reliability of a statistical inference. It simply summarizes and describes the characteristics of the data.

A sample statistic is a numerical value calculated from a sample, such as the mean or standard deviation. While it can be used to make inferences about the population, it does not measure the reliability of those inferences.
A population parameter is a numerical value that describes a population, such as the population mean or proportion.

While it provides information about the population, it does not measure the reliability of inferences made from a sample. In conclusion, the significance level is the measure of reliability in a statistical inference as it determines the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.

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1. 288 tons of oats can be stored in the silo.

2. 432 tons of barley can be stored in the silo.

3. 540 tons of wheat can be stored in the silo.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A storage silo for grain can house 18,000 bushels of grain.

1. One bushel of oats weighs 32 pounds which is equal to 32/2000 tons.

= 0.016 tons.

Therefore, The number of tons of oats that can be stored is,

= 0.016×18000.

= 288 tons.

2. One bushel of barley weighs 48 pounds or 48/2000 = 0.024 tons.

Therefore, The number of tons of barley that can be stored is,

= 0.024×18000.

= 432 tons.

3. One bushel of wheat weighs 60 pounds or 60/2000 tons = 0.03 tons.

Therefore, The number of tons of wheat that can be stored is,

= 0.03×18000.

= 540 tons.

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Answer:A linear model is appropriate because the scatterplot shows a strong, positive linear relationship.

Step-by-step explanation:

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

The equation can be rewritten as: \(ax^4 = (log(6))(2^4)\)

Therefore, \(a = log(6) \ and\ x=2\)

A logarithm is a mathematical function that describes the relationship between a number and its exponent. It is the inverse operation of exponentiation. Logarithms are typically written as log base b, where b is the base of the logarithm and is a positive number.

The logarithm of a number x to base b is denoted as \(logb(x)\) and it is the exponent to which we need to raise the base b in order to get the number x.

For example, if we are given \(log10(100) = 2\), this means that \(10^2 = 100\).

The equation \(6^x * 6 * 6\) can be rewritten as \(6^x * 6^2\).

To convert 6^x to ax form, we need to take the logarithm of both sides of the equation:

\(log(6^x) = log(6^2)\)

And we can simplify the equation as:

\(xlog(6) = 2log(6)\)

So, the value of a is log(6) and the value of x is 2.

Therefore, the equation can be rewritten as:

\(ax^4 = (log(6))(2^4)\)

Therefore, \(a = log(6)\ and\ x=2\)

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Answer:

I guess it is 45°

Step-by-step explanation:

Hope it helps!!!!

Answer:

45°

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

a regular octagon has 8 equal exterior angles , then

exterior angle = 360° ÷ 8 = 45°

The future value of the monthly deposit which earns 0.475 monthly interest will be $10,944.67 after 16 months.

The future value can be determined using the future value annuity formula or an online finance calculator.

The future value represents the periodic deposits compounded periodically at an interest rate.

N (# of periods) = 16 months

I/Y (Interest per year) = 5.7% (0.475% x 12)

PV (Present Value) = $0

PMT (Periodic Payment) = $660

Results:

Future Value (FV) = $10,944.67

The sum of all periodic payments = $10,560.00

Total Interest = $384.67

Thus, using an online finance calculator, the future value of the monthly deposits is $10,944.67.

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10.6 is the height, of the triangular wall .

What is known as a triangle?

The three vertices of a triangle make it a three-sided polygon. The triangle's angles are formed at a point where the three sides are joined end to end.

                               The triangle's three angles add up to a total of 180 degrees. the three different kinds of triangles that are classified according to the size of their biggest angle. These triangles are the acute, right, and obtuse triangles.

Area = 1/2 * b * h

64 = 1/2 *12 * h

64 * 2/12  = h

    h = 10.66

13) 3y+ 6 = 2x

      3y = 2x - 6

       y = 2/3x - 2

compare with y= mx + c

        slope = 2/3

           c = -2

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The expression to represent the new area of the garden after changes will be  N = x² + 20x + 84

A rectangular garden with the dimensions in terms of x is mentioned.

Dimensions length and width have a relation between them.

Taking Width as 'x', It is said that the length of the original garden is 8 feet more than its width. Length = x +8. To calculate the area of the original garden we have the formula for the Area of the rectangle: Length * Width

for the original dimensional garden, the Expression for Area will be :

                 => A = L * W    => A = (x+8)*x

                 =>  A = x² + 8x

Now when the Dimensions of the garden are extended by 6 feet :

L = (x+8+6)  =>  L = x + 14

W = (x+6)

Expression for the modified Area of the Garden will be :

                   =>  N = (x+14)*(x+6)  =>  x² + (14+6)x + 14*6   {using identity}

                   =>  N = x² + 20x +84

Hence, the expression for the new Area will be N = x² + 20x +84

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The experimental probability that Connor will miss his next free-throw attempt is 2/3 or approximately 0.67 (rounded to two decimal places).

We will use the terms "experimental probability" and "free-throw attempt" in our explanation.
Determine the total number of free-throw attempts
Connor attempted 18 free throws in total.
Determine the number of missed free throws
Connor missed 12 out of those 18 free throws.
Calculate the experimental probability
To calculate the experimental probability of Connor missing his next free-throw attempt, we need to divide the number of missed free throws by the total number of free-throw attempts:
Probability = (Missed Free Throws) / (Total Free-Throw Attempts)
Probability = 12 / 18
Simplify the fraction
The fraction 12/18 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6:
Probability = (12 ÷ 6) / (18 ÷ 6)
Probability = 2 / 3.

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The tire will make 452.52 rotations if it travels a linear distance of 1 mile.

To calculate the linear distance (m) the tire travels, we need to find the circumference of the tire first.
Circumference = π x Diameter
Circumference = 3.14 x 28.6 in
Circumference = 89.884 in
Now, we can find the linear distance (m) the tire travels by multiplying the circumference by the number of rotations.
Linear distance = Circumference x Rotations
Linear distance = 89.884 in x 6.5
Linear distance = 583.66 in
To convert this to meters, we need to divide by 39.37 (since there are 39.37 inches in a meter).
Linear distance = 583.66 in ÷ 39.37
Linear distance = 14.83 m.
To find out how many rotations the tire will make if it travels a linear distance of 1 mile (which is 1609.34 meters), we can use the formula:
Rotations = Linear distance ÷ Circumference.
Rotations = 1609.34 m ÷ 89.884 in
Rotations = 452.52 rotations.

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A square is a geometric shape also known as a quadrilateral. It is called a quadrilateral because it has four sides. The four sides of a square have equal length.

1 mile = 5280 feet

1/8 mile =  y feet

y feet = (1/8 mile x 5280 feet)  /  1 mile

y feet = 660 feet.

The length of the side of the square in feet is 660 feet

The area of a square  = (Side length)²

Area of the square = (660 feet)²

= 435,600 square feet.

The area of the square field is 435,600 square feet

180,000 square feet = 1 hour

435,600 square feet = h

h = 435,600 square feet x 1 hour /  180,000 square feet

h = 2.42 hours

Therefore,  approximately to the nearest tenth of an hour, it will take 2.4 hours to plow the square field.

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The two equations that can be used to find the height are as follows:

Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of similar triangle are a ratio of each other.

The tree cast a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,

Therefore,

h / 12 = 5 / 4

cross multiply

4h = 60

divide both sides by 4

h = 60 / 4

h = 15 ft

Therefore, the two equations that can be used to find the height are as follows:

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Geometric solids with circular cross-sections include cylinders, cones, and spheres. Geometric solids with circular cross-sections include cylinders, cones, and spheres. And Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis.

1. Cylinder: A cylinder is a 3-dimensional solid that has two parallel circular bases connected by a curved surface. Cylinders are commonly found in everyday objects like soda cans and water bottles.

2. Cone: A cone is a 3-dimensional solid that has a circular base and a curved surface that tapers to a point. Cones are often used in architecture, like on the top of a church steeple.

3. Sphere: A sphere is a 3-dimensional solid that has a circular shape in all directions. Spheres are found in many natural objects like planets and fruit, as well as in man-made objects like Christmas ornaments.

Geometric solids with circular cross-sections are used in various fields, including architecture, engineering, and science. They are used for creating objects such as cans, pipes, towers, and buildings. These shapes are also used for modeling the natural world, such as the earth, planets, and the stars.

Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis. For instance, a circle that is rotated around its center axis forms a cylinder. Similarly, a triangle that is rotated around one of its sides forms a cone, while a circle that is rotated around its center axis forms a sphere.

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The number of phones sold would be 20

And, the number of accessories sold would be 26.

Used the concept of an equation that states,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that,

Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells.

And, On a given day, Kylie made a total of $352 in commission and sold 6 more accessories than phones.

Let us assume that,

The number of phones sold = x

And, the number of accessories sold = y

Hence, the equation becomes,

15x + 2y = 352   .. (i)

And, y = x + 6  .. (ii)

Substitute the value of y in (i);

15x + 2y = 352  

15x + 2 (x + 6) = 352

15x + 2x + 12 = 352

17x + 12 = 352

17x = 352 - 12

17x = 340

x = 340/17

x = 20

From (ii);

y = x + 6

y = 20 + 6

y = 26

Therefore,  The number of phones sold = 20

And, the number of accessories sold = 26

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The value of z* to construct a 99% confidence interval is 2.58.

The value of z* that can be used to construct confidence interval can be calculated or find out in many ways. But, usually and the easiest way is by look the value in T table.

The value of z* is equal to the value of critical value in t table. So, to find it we search the column of 99% confidence level or if use the one tail is equal to 0.005 or if use the two tail is equal to 0.01. Then, we search the row of z, after that we get the value of 2.576.

Attached image for t table.

Thus, the value of z* for 99% confidence interval is 2.58.

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Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer: Asexual

Step-by-step explanation:

Answer: after 2 monthly price reductions

Step-by-step explanation:

Given that :

Wholesale cost = $20 each

Markup = 50%

Selling price = $20 + (50% * 20) = $30

After each month selling price reduces by 20%;

Dip in price per month for which item didn't sell ;

Let m = Number of months

$30 - 0.2(30)m = $30 - 6m

After how many monthly price reductions did the price dip below the wholesale cost?

$30 - 6m < $20

-6m < $20 - $30

-6m < - $10

m > 10/6

m > 1.667

m = 2

After 2 monthly price reduction

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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Answer:

x = ±11

Step-by-step explanation:

Step 1: Write equation

x² = 121

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

(-11)² = 121

121 = 121

11² = 121

121 = 121

Given statement solution is :- The value of m is -98/9.

The correct answer is A. -98/9.

To determine the value of m in the given system of equations, we need to find the condition under which the system has no solutions.

The system of equations can be written in matrix form as:

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Copy code

[  9  -7 ]   [ x ]   [ 11 ]

[ 14   m ] * [ y ] = [  6 ]

For this system to have no solutions, the coefficient matrix [ 9 -7 ; 14 m ] must be singular, which means its determinant must be zero.

Determinant of the coefficient matrix:

det([ 9 -7 ; 14 m ]) = (9 * m) - (-7 * 14) = 9m + 98

Setting the determinant equal to zero, we have:

9m + 98 = 0

Solving for m:

9m = -98

m = -98/9

Therefore, the value of m is -98/9.

So, the correct answer is A. -98/9.

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Answer:

Power is the zero at the end of the number like this 56 small 0 at the top right

Step-by-step explanation: Its not just the zero its whatever number is divided by the power it cant go past 50

Answer:

Step-by-step explanation:

9 1/6 ÷ 5 + 3 1/3 = \(\frac{55}{6}*\frac{1}{5}+\frac{10}{3}\)

                         \(=\frac{55}{30} + \frac{10}{3}\\\\= \frac{55}{30}+\frac{10*10}{3*10}\\\\=\frac{55}{30}+\frac{100}{30}\\\\=\frac{55+100}{30}\\\\=\frac{155}{30}\\\\=\frac{31}{6}\\\\=5\frac{1}{6}\)

By multiplying 2 on both the numerator and denominator of  \(\frac{-3}{5}\) .

The expression \(\frac{-3}{5}\) + \(\frac{-7}{10}\) with a common denominator can be written as

\(\frac{-6}{10}\) + \(\frac{-7}{10}\)

A fraction is written with a numerator and a denominator where the numerator is less than the denominator.

Example: 1/3 is a fraction

We have,

\(\frac{-3}{5}\) + \(\frac{-7}{10}\)

We have different denominators and we need to make the denominator the same.

We will multiply 2 on both the numerator and denominator of  \(\frac{-3}{5}\).

= \(\frac{2 \times -3}{2 \times 5}\)

= \(\frac{-6}{10}\)

We see that,

The denominator in \(\frac{-6}{10}\)  and \(\frac{-7}{10}\)  is the same.

i.e 10.

Now,

\(\frac{-3}{5}\) + \(\frac{-7}{10}\) can be written as \(\frac{-6}{10}\) + \(\frac{-7}{10}\)

Thus,

By multiplying 2 on both the numerator and denominator of  \(\frac{-3}{5}\) .

The expression \(\frac{-3}{5}\) + \(\frac{-7}{10}\) with a common denominator can be written as

\(\frac{-6}{10}\) + \(\frac{-7}{10}\)

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