help please, i need to find the answer

Answer:

see below

Step-by-step explanation:

Angle C is equal to the 1/2 the difference of the two arcs

C = 1/2 ( large DC - small DC)

Large DC = ( 360 - 5x - 2)   sum of a circle is 360 degrees

Small DC = 5x-2  the central angle is equal to the intercepted arc

C = 1/2 ( 360 - 5x-2 - ( 5x -2))  Angle Formed by Two Intersecting Chords

C = 1/2 ( 360 - 2 ( 5x-2))

Distributing the 1/2

C = 180 - (5x-2)

Replacing the C with 2x+7

2x+7 = 180 - (5x-2)

Add 5x-2 to each side

2x+7  +5x-2  = 180

Antonio is correct

Combine like terms

7x +5 = 180

7x = 175

Divide by 7

x =25

Then solve for A = 5x-2

A = 5*25-2

   = 125-2

   = 123

The conveyor speed for the assembly line is 2.67 meters per minute.

To calculate the conveyor speed for the assembly line, we need to consider the width of each component and the production requirements.

Given:

Width of each component = 0.4m

Production requirement = 3000 units per day

Number of shifts per day = 2

Shift duration = 8 hours

Personal time per shift = 30 minutes

Anticipated performance = 85%

First, let's calculate the effective production time per shift after accounting for personal time:

Shift duration = 8 hours = 8 * 60 minutes = 480 minutes

Personal time per shift = 30 minutes

Effective production time per shift = Shift duration - Personal time per shift

= 480 minutes - 30 minutes

= 450 minutes

Next, we need to determine the cycle time, which is the time required to produce one unit. To find the cycle time, we divide the effective production time per shift by the number of units required per day:

Cycle time = Effective production time per shift / Production requirement per day

= 450 minutes / 3000 units

= 0.15 minutes per unit

Finally, to calculate the conveyor speed, we need to consider the width of each component and the cycle time:

Conveyor speed = Width of each component / Cycle time

= 0.4m / 0.15 minutes per unit

= 2.67 m/minute

Therefore, the conveyor speed for the assembly line is 2.67 meters per minute.

It's important to note that this calculation assumes uniform production throughout the shift and does not account for any additional factors or constraints specific to your production process.

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To answer this, we substitute 12 ft to the f(h) in the given equation,   
f(h) = -8t² + 8t + 12 = 12

Subtracting 12 from both sides of the equation will give us an answer of,

-8t² + 8t = 0

Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second. 

Answer:

Below in bold.

Step-by-step explanation:

When he lands h = 0  so

-8t^2 + 8t + 12 = 0

Solving for t

t = [-8 +/- sqrt(8^2 - 3*-6*12)] / -16

t = 1.82 seconds.

The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.

The calculation of the provided data, according to the question, is as follows:

$8000 is the credit limit on the card.

Paid in Full = $2,500

$1,500 has been credited to the account.

The value of recent purchases made by Pavi is $3,000

Applied finance charges equal $7.50

The card's current balance is equal to $4,007.50.

Using the formula below, we can now determine the amount of credit that is now available on the card:

The credit line on the card = Available Credit - New Balance

By entering values into the formula provided, we obtain

Credit available on the current card: $8,000 - $4,007.50= $3,992.50.

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Answer:

B

Step-by-step explanation:

To solve this equation you use the y=mx+b format

Considering that the graph starts at 40 (b) and increase 10 every time that means that the m is 10

Sorry that probably made no sense

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

Answer: 114

Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.

Answer:

C

Step-by-step explanation:

∠ BHC = ∠ FAB = 48° ( alternate angles )

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle, thus

∠ ABC = ∠ BHC + ∠ ECB = 48° + 18° = 66° → C

The slopes of perpendicular lines are opposite reciprocals and hence option D is correct

The slope of the given line is 3/8, so its opposite reciprocal is -8/3. From the options we have to find a line with this slope.

In the given line, it was easy to find the slope because the equation is in slope-intercept form, but in the options the equations are in standard form,

If we solve this for y we get the slope-intercept form,

Thus the slope of a line whose equation is in standard form is,

• Option A: a = 3, b = 8. The slope is -3/8 → ,not perpendicular

• Option B: a = 3, b = -8. The slope is 3/8 → ,not perpendicular

• Option C: a = -8, b = 3. The slope is 8/3 → ,not perpendicular

• Option D,: a = 8, b = 3. The slope is -8/3 → ,this line is perpendicular, to the given line

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Answer: -6

Step-by-step explanation:

-x-1=5

-x=5+1

-x=6

divide both sides by -1

x=-6

Answer:

x = -6

Step-by-step explanation:

-x - 1 = 5

-x = 5 + 1

-x = 6

x = -6

Answer:

49/21

Step-by-step explanation:

You just have to switch the numerator and denominator so you can cancel out the number from one side of the equation in a normal problem

Answer: Square and rectangle

Step-by-step explanation:

The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

The probability that a randomly selected resident of the Gold dorm is a senior is 0.1562

Step-by-step explanation:

The given percentage of each class of student is presented as follows;

Priority A (seniors) = 22%, ∴ P(s) = 0.22

Priority B (juniors) = 29%, ∴ P(j) = 0.29

Priority C (freshmen and sophomores) = (100 - 22 - 29)% = 49%, ∴ P(fs) = 0.49

The percentage of the seniors that elect to live at the Gold dorm, = 71%, ∴ P(sG) = 0.71

The percentage of the juniors that live at the Gold dorm = 19%, ∴ P(jG) = 0.19

The percentage of the freshmen and sophomores that live in the Gold dorm = 5%, ∴ P(fsG) = 0.05

The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = P(s) × P(sG)

∴ P(s∩sG) = 0.22 × 0.71 = 0.1562

Therefore;

The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = 0.1562.

Answer:

901$

Step-by-step explanation:

Answer:

10.15

Step-by-step explanation:

if you divide 325 by 32 you get 10.15625, then you have to round it to the hundredths, I'm not 100% sure, but I think this is the correct answer

Answer:

3 3/4 or

3 and 3 fourths

Answer:

Pythagoras

Step-by-step explanation:

To figure out how old each philospher was, we can find the difference between their birth and death years.

For Aristotle: 384 - 322 = 62 years old

For Pythagoras: 580 - 495 = 85 years old

For Plato: 428 - 348 = 80

85 > 80 > 62

So, Pythagoras lived the longest out of these three Greek philosophers.

The expression that shows John's score will be 2x + 9.

It is vital to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

In this case, Mai has a score of x while John has 9 more than twice mai's score.

The expression for this relationship will be:

= (2 × x) + 9

= 2x + 9

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Complete question

Mai has a score of x. John has 9 more than twice mai's score. Illustrate the expression for Johnsc score.

Answer:

Step-by-step explanation:

Sue's initial wage per hour = $10

Sue's wage per hour after the increase = $100

a. Economic surplus to be enjoyed = $100 - $10

                                                      = $90

Sue would enjoy an economic surplus of $90.

b. No, because in this case the wage per hour for each 400 student would be;

                                          =  \(\frac{100}{400}\)

                                          = $0.25

                                          = 25 cents

Redistribution of income is the act of equal sharing of wealth among a certain number of people.

The problem here is that Sue would feel cheated with the division of the earnings among 400 students, but very happy when her wages was increased.

Though the income incentive redistribution programs reduce poverty, but it may be unfair.

9514 1404 393

Answer:

  The graph of g is 3 units above the graph of f.

Step-by-step explanation:

Adding 3 to each y-value shifts the graph up 3 units.

__

In the case of the straight line given here, it also has the appearance of shifting the graph left. The left-shift, however, is not 3 units. The amount of apparent horizontal shift will depend on the slope of the original line.

Answer:

The answer is above

Step-by-step explanation:

its above because the sign is positive

Answer: 3526 grams of what?

Step-by-step explanation:

Answer:

7.773 pounds

Step-by-step explanation:

have to divide the mas vauleby 453.6

The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.

Option D is the correct answer.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The x-axis can be assumed as 10 minutes for each unit.

Now,

From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.

From x = 10, the line on the graph is horizontal this means, the speed is constant.

Thus,

The speed of the boat increases steadily for 10 minutes and travels at a constant speed.

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Answer:

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

P + 2c = 3.25                            Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25                           Solve for one variable

3(-2c +3.25) + 4c = 7.25           Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25                           Substitute

p + 2 = 3.25

p = 1.25

Answer:

To solve the inequality -18x + 9 > 9 for x, you need to isolate the variable x on one side of the inequality symbol. Here's how to do it:

First, subtract 9 from both sides of the inequality:

-18x + 9 - 9 > 9 - 9

Simplify:

-18x > 0

Next, divide both sides of the inequality by -18, remembering to reverse the direction of the inequality symbol because you are dividing by a negative number:

x < 0/(-18)

x < 0

Therefore, the solution to the inequality -18x + 9 > 9 is x < 0.

Answer:

x<0

Step-by-step explanation:

First you want to isolate -18x.

-18x > 0

That means -18x is greater than 0

Then we have to divide -18 by both sides and we need to flip the relation because the factor is negative.

x<0/-18

x<0