Can someone pls help
Question 2
How much grain can this container hold? Use 3.14 to
approximate π. Round your answer to the nearest
hundredth.
9 in.
15 in.
423.90 in.³
3,815.10 in.³
953.78 in.3
1,589.63 in.³

The solutions to the quadratic equation \(2x^2 + 6x - 1 = 0\), obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

To solve the quadratic equation\(2x^2 + 6x - 1 = 0\)by completing the square, follow these steps:

Ensure that the coefficient of \(x^2\) is 1. In this case, it is already 2, so we don't need to make any changes.

Move the constant term to the other side of the equation. Add 1 to both sides:

\(2x^2 + 6x = 1\)

Divide the coefficient of x by 2 and square it. In this case, (6/2)^2 = 9.

Add the result from step 3 to both sides of the equation:

\(2x^2 + 6x + 9 = 1 + 9\)

Simplifying, we get:

\(2x^2 + 6x + 9 = 10\)

Write the left side of the equation as a perfect square trinomial. In this case, it is \((x + 3)^2.\)

\((x + 3)^2 = 10\)

Take the square root of both sides:

\(√[(x + 3)^2] = ±√10\)

Simplifying:

\(x + 3 = ±√10\)

Solve for x by subtracting 3 from both sides:

x = -3 ± √10

So, the solutions to the quadratic equation \(2x^2 + 6x - 1\)= 0, obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

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Answer:

-1/2

Step-by-step explanation:

y2-y1 = -5-0 =-5

x2-x1 = 8-(-2)=10

-5/10= -1/2

Answer:

1\2

Step-by-step explanation:

Step-by-step explanation:

Add the whole numbers

13 +5 = 18

Add the fractions

4/5 +1/3

The LCD is 15

12/15 + 5/15

17/15

Simplify

17/15 = 1 2/15

1 is a while number so, add it to the other whole number

18 +1 = 19

Your final answer will be 19 2/15

Please gimme brainliest

Answer:

The period of this graph is 7.

Answer:

72.25 pi ft^2

Step-by-step explanation:

The circumference of a circle is

C = 2*pi*r

17 pi = 2*pi*r

Divide each side by 2pi

17 pi / 2pi = 2 pi r / 2pi

17/2 = r

We want to find the area

A = pi r^2

A = pi ( 17/2) ^2

A =289/4 pi  ft^2

A = 72.25 pi ft^2

Answer:

C. TA

Step-by-step explanation:

I'm guessing you mean ΔMAN ≅ ΔTAP and not ΔATAP.

Because these two triangles are congruent (a.k.a equal), the corresponding segments are equal.

Literally means that the first and last points of the first triangle make up a line that is equal to the line that you find from doing the same thing to the other triangle and so on.

This gives us MA = TA, AN = AP, MN = TP.

Answer:

40%

Step-by-step explanation:

The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.

In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:

(-13/85)² + cos²θ₁ = 1

Simplifying:

169/7225 + cos²θ₁ = 1

cos²θ₁ = 1 - 169/7225

cos²θ₁ = (7225 - 169)/7225

cos²θ₁ = 7056/7225

Taking the square root of both sides, we get:

cosθ₁ = √(7056/7225)

Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:

cosθ₁ = √(7056/7225)

Simplifying the square root:

cosθ₁ = 84/85

Therefore, the value of the angle cosθ₁ is 84/85.

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The complete question is:

The angle θ₁ is located in Quadrant IV and  sin(θ₁) = -13/85. What is the value of the angle cosθ₁?

By answering the presented question, we may conclude that the value of the trigonometry is cot x = -√3 / 4

The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.

cot x = cos x / sin x.

we have cos x = 1/7 and sin x < 0.

\(sin^2 x + cos^2 x = 1\\sin^2 x + (1/7)^2 = 1\\sin^2 x = 1 - (1/7)^2 = 48/49\\\)

sin x = -√(48/49) = -(4/7)√3

cot x = cos x / sin x = (1/7) / (-(4/7)√3)

cot x = -√3 / 4

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Answer:

3.4

Step-by-step explanation:

This all proved using the contradiction method.

Given the statements;

1p∨q, 2¬p∧¬T and 3t→¬q.

we are to prove that p is false and t is true.

We can prove this by contradiction method.

Step 1:

Assume p is true. If p is true, then p∨q is true by statement 1.

Also, ¬p∧¬T will be false since ¬p is false when p is true.

Thus, we can infer that T must be true.

Therefore, by statement 3, t→¬q becomes true which implies that q must be false.

Step 2:

We are now in the situation whereby p is true, T is true, and q is false.

From ¬p∧¬T and p being true, we can infer that ¬T is false.

Therefore, by statement 3, t→¬q will be true which implies that ¬q is false.

This contradicts q is false.

Hence p is false since we've arrived at a contradiction assuming p is true.

Step 3:

Now, that we've established that p is false. We can infer from 1p∨q that q is true.

From ¬p∧¬T and p is false, we can infer that ¬T is true.

From t→¬q, we can infer that t is true.

Hence, p is false and t is true.

Conclusively, we have p is false and t is true.

This is proved using the contradiction method.

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18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

The likelihood that a shipment passes the test is 1

To determine the likelihood that a shipment passes the test, we can approach this problem using the concept of reliability in parallel systems.

In this case, the theater is testing a batch shipment of bulbs, and if two or more bulbs go out during the test, the shipment is returned. We can consider each bulb's reliability as an independent event.

The reliability of a single bulb is given as 95%, which means the probability that a bulb lasts at least 100 hours is 0.95. Therefore, the probability that a single bulb fails during the test (lasting less than 100 hours) is 1 - 0.95 = 0.05.

Since the theater tests 20 bulbs in parallel, we can consider it as a parallel system. In a parallel system, the overall system fails if and only if all the components fail. So, for the shipment to fail the test, all 20 bulbs must fail.

The probability that a single bulb fails during the test is 0.05. Since the bulbs are independent, we can multiply the probabilities:

Probability that all 20 bulbs fail = (0.05) * (0.05) * ... * (0.05) (20 times)

= 0.05^20

≈ 9.537 × 10^(-27)

Therefore, the likelihood that a shipment passes the test is the complement of the probability that all 20 bulbs fail:

Probability that a shipment passes the test = 1 - Probability that all 20 bulbs fail

= 1 - 9.537 × 10^(-27)

≈ 1

In practical terms, the likelihood that a shipment passes the test is essentially 1 (or 100%). This means that if the bulbs indeed have a 95% reliability, it is highly unlikely that two or more bulbs would go out during the test, and the shipment would almost always pass the test.

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Using MUS for auditing the inventory account of Cusick Machine Tool Company, the required sample size is 156 and the sampling interval is $57,692. The auditor can use this information to select the sample and test the account accurately.

In this scenario, Jim Sigmund, a senior in charge of the audit, plans to use MUS (Monetary Unit Sampling) to audit Cusick Machine Tool Company's inventory account. The MUS is a statistical sampling method that uses monetary units as a basis for selecting a sample.

The sample size is determined by considering the tolerable misstatement, expected misstatement, and the risk of incorrect acceptance. To determine the required MUS sample size and sampling interval, we need to use Table 8-5. The tolerable misstatement is the maximum amount of error that the auditor is willing to accept without modifying the opinion.

In this case, it is $360,000. The expected misstatement is the auditor's estimate of the amount of misstatement in the account. Here, it is $90,000. The risk of incorrect acceptance is the auditor's assessment of the risk that the sample will not identify a misstatement that exceeds the tolerable misstatement. It is 5%.

Using Table 8-5, we can find the sample size and sampling interval based on these factors. The sample size is 156, and the sampling interval is $57,692. This means that every $57,692 in the inventory account is a sampling interval, and the auditor needs to select 156 monetary units for testing.

The calculation for the sampling interval is determined by dividing the recorded balance of the account by the sample size. In this case, the recorded balance is $9,000,000, and the sample size is 156. Thus, the sampling interval is $57,692 ($9,000,000 / 156).

In conclusion, using MUS for auditing the inventory account of Cusick Machine Tool Company, the required sample size is 156 and the sampling interval is $57,692. The auditor can use this information to select the sample and test the account accurately.

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Complete Question:

McMullen and Mulligan, CPAs, were conducting the audit of Cusick Machine Tool Company for the year ended December 31. Jim Sigmund, senior-in-charge of the audit, plans to use MUS to audit Cusick's inventory account. The balance at December 31 was $9,000,000.

Based on the following information, compute the required MUS sample size and sampling interval using Table 8-5: (Use the tables, Enot IDEA, to solve for these problems. Round your interval answer to the nearest whole number.)

Tolerable misstatement = $360,000

Expected misstatement = $90,000

Risk of incorrect acceptance = 5%

Table 8-5:

Sample Size- 156

Sampling Interval - $57,692

The payment (future value), to the nearest rand, which should be made at the end of the seventh year in order to liquidate the debt, is​ R9,338.80.

The future payment to be made at the end of the seventh year is determined by computing the future values in two stages. The first stage computes the future value before the payment at the end of the first year.  The second stage computes the future value for six years.  

here, we know,

The future value is computed by compounding the present value at an interest rate.

Current debt = R6,421,00

Compound interest rate = 11% per year

Compounding period = Quarterly

Future Value in 1 Year:

N (# of periods) = 4 quarters (1 year x 4)

I/Y (Interest per year) = 11%

PV (Present Value) = R6,421.00

PMT (Periodic Payment) = R0

Results:

Future Value (FV) = R7,156.98

Total Interest = R735.98

Future Value (FV) = R7,156.98

Payment in one year's time = R2,287.00

Balance = R4,869.98

Future Value at the end of the 7th Year:

N (# of periods) = 24 quarters (6 years x 4)

I/Y (Interest per year) = 11%

PV (Present Value) = R4,869.98

PMT (Periodic Payment) = R0

Results:

Future Value (FV) = R9,338.80

Total Interest = R4,468.82

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The total area of the glass used in making the rectangular prism-shaped aquarium is 60 square feet.

The rectangular crystal formed aquarium has a base area of 6 feet by 2.5 feet, which is equivalent to 15 square feet. The level of the aquarium is 4 feet. To compute the complete region of the glass utilized in making the aquarium, you really want to duplicate the base region by the level, which is 15 x 4 = 60 square feet. This implies that 60 square feet of glass were utilized in making the aquarium. The glass some portion of the aquarium incorporates the four sides and the top, while the base is normally made of an alternate material, like acrylic.

The foundation of the rectangular crystal formed aquarium is 6 feet by 2.5 feet, which gives an all out area of 15 square feet (6 x 2.5). The level of the aquarium is 4 feet. Hence, the absolute region of the glass utilized in creating the aquarium can be determined by duplicating the base region by the level: 15 x 4 = 60 square feet.

The glass a piece of the aquarium would be the four sides and the top. The base would ordinarily be made of another material, like acrylic.

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Regarding the proportional connection that Peter's equation simulates, claim C is accurate. Peter moves along at a 13/4 mph walking pace.

An equation is a mathematical statement that uses an equal sign to join two algebraic expressions having the same value.

The complete question is

"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?

A:Peter walks a rate of 4/13 miles per hour.

B: Peter walks at a  rate of 4 miles per hour.

C: Peter walks at a rate of 13/4 miles per hour.

D: Peter walks at a rate of 13 miles per hour."

Provided equation

Y=13/4x

where y is the distance traveled and x denotes the amount of time.

According to the equation, Peter moves along at a speed of 13/4 miles per hour.

As a result, the proportional connection represented by Peter's equation is valid as stated in assertion C.

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Line ET is tangent to circle A at T, and the measure of arc TG is 46 and the measure of O is 67°.

Tangents to circles are lines that cross the circle at a single point. Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent crosses it, is perpendicular to the tangent. Any curved form can be considered a tangent. Tangent has an equation since it is a line. A line that touches a circle just once is said to be tangent to it. A point tangent to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency.

Now, \(\angle {TEG} =\)180-90-23=67°

as line TE is tangent to circle and it is perpendicular to line NT.

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Answer:

201.1 radians per minute

Step-by-step explanation:

The formula for Angular speed of tires in radians per minute =

1 revolutions per minute = 2π rad/min

32 revolutions per minute = x

x = 32 revolutions per minutes × 2 π radians per minute

x = 201.06192983 radians per minute

Approximately

x = 201.1 radians per minute

Therefore, the angular speed of the tires in radians per minute is 201.1 radians per minute

The angular speed of the tires in radians per minute is 201 rad per minute.

Angular speed is the rate at which an object changes it angles, it is measured in radians in a given time.

To convert from rad per minute to rev per minute, we divide by 2π.

1 rad per min = 1/2π rev per min

32 revolutions per minute = (32 * 2π) radians per minute = 201 rad per minute.

The angular speed of the tires in radians per minute is 201 rad per minute.

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The correct option is B) The three cards, regardless of their colors, have numbers 1, 2, and 3.

There are three green, three red, three blue, and three yellow cards in a box. Each of the three cards from each color is numbered by a number 1, 2, or 3.

We take randomly three cards from the box. The following events are given:

A) The three cards are of the same color.

B) The three cards, regardless of their colors, have numbers 1, 2, and 3.

C) The three cards are of three different colors.

D) The three cards have the same number on them.

E) None of the above, the four previous events have the same probability.

What is the most probable event? The given information can be summarized as: Each color has three cards with numbers 1, 2, and 3.

So, the total number of cards is:3 x 4 = 12 cards The number of ways to choose three cards out of 12 can be found using combinations .Thus, the total number of ways to choose three cards out of 12 is:12C3 = 220

Now, we'll evaluate the given options: A) The three cards are of the same color: We need to select three cards of the same color. The number of ways to do this is:3C1 x 3C3 = 3Thus, the probability of this event is:3 x 3 / 220 = 9 / 220

B) The three cards, regardless of their colors, have numbers 1, 2, and 3: We need to choose one card from each number (1, 2, and 3) in any color. The number of ways to do this is:3C1 x 3C1 x 3C1 = 27Thus, the probability of this event is:27 / 220

C) The three cards are of three different colors: We need to select one card from each of the three colors. The number of ways to do this is:3C1 x 3C1 x 3C1 = 27Thus, the probability of this event is:27 / 220

D) The three cards have the same number on them: We need to choose one number (1, 2, or 3) and select three cards with that number from any color. The number of ways to do this is:3C1 x 4C3 = 12Thus, the probability of this event is:12 / 220

E) None of the above, the four previous events have the same probability: It means that the probabilities of the above four events are cards. So, the probability of each of them is:1/4 x 220 / 220 = 1/4Thus, the probability of each of them is 1/4.

As the probability of selecting three cards, regardless of their colors, have numbers 1, 2, and 3 is the highest, so this is the most probable event. Thus, the correct option is B) The three cards, regardless of their colors, have numbers 1, 2, and 3.

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Answer:

x = 5/2 , y = -7/2

Step-by-step explanation:

r's your solution

=> formula for finding midpoint =.( X1 + X2/)/2 , (Y1+Y2)/2

=> putting the value of in formula

=> x= 4+1/2 , y = -1-6/2

=> x = 5/2 , y = -7/2

hope it helps

Answer: hundreth of a second

Step-by-step explanation: it is most accurate unlike some of the larger units that could be used

Answer:the first ans  (f(x)=(1/x+2)+3

Step-by-step explanation:

Answer:

Its the first one

Step-by-step explanation:

f(x) = 1/x + 2 + 3

The solution to the equation 5 − 4 + 7x + 1 = x is -1/3

From the question, we have the following expression that can be used in our computation:

5−4+7x+1=x

Rewrite properly

So, we have

5 − 4 + 7x + 1 = x

Evaluate the like terms

So, we have the following representation

7x + 2 = x

Evaluate the like terms again

So, we have the following representation

-6x = 2

Next, we have

x = 2/-6

Rewrite as

x = -1/3

Hence, the solution is  x = -1/3

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Complete question

Solve the equation

5−4+7x+1=x

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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Answer:

78.7 cubic feet

Step-by-step explanation:

Remember that a hemisphere is half of a sphere, so finding the volume of a hemisphere is really just finding half of the volume of a sphere.

Volume of sphere = (4 * π / 3) * r ^ 3 , where r = diameter / 2.

So, volume of hemisphere = volume of sphere / 2 .

Volume of sphere = (4 * π / 3) * (6.7 / 2) ^ 3 = 157.47914.....

Volume of hemisphere = 157.47914....... / 2 = 78.7396..........

So it would approximately be 78.7 cubic feet

Answer:

the third one is the answer