Ashanti has been acting for a years, and Diana has been acting for d years.
If Ashanti has been acting for 1.5 times as long as Diana has, which is also
4 years longer than Diana has been acting, which of the following systems
of equations correctly models this situation?

Answer:

8 dias

Step-by-step explanation:

Primero tenemos que averiguar cuantos m2 pueden levantar los seis albañiles en 1 dia. Esto lo calculamos dividiendo los 180m2 por los 12 dias que les llevo hacerlo.

180 / 12 = 15 m2 por dia

Ahora tenemos que dividir este numero por los 6 albañiles para calcular cuantos m2 hace 1 albañil por dia

15 / 6 = 2.5

Ahora tenemos que multiplicar este m2 por los 5 albañiles que pide la pregunta

5 * 2.5 = 12.5 m2 por dia

Finalmente, necesitamos dividir los 100 m2 por los 12.5 m2 que pueden hacer los 5 albañiles por dia.

100 / 12.5 = 8 dias

9514 1404 393

Answer:

  (a)  P = 44 cm + 18 cm + 18 cm = 80 cm

  (b)  396 cm²

  (c)  (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm

  (c)  (ii) 7 cm

Step-by-step explanation:

(a) The length of arc PQR is given by the formula ...

  s = rθ . . . . . where r is the radius and θ is the angle in radians

The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9

So, the arc length is ...

  PQR = (18 cm)(22/9) = 44 cm

Then the perimeter of the figure is ...

  P = PQR +RO +OP = 44 cm + 18 cm + 18 cm

  P = 80 cm

__

(b) The area of a sector is given by ...

  A = 1/2r²θ = 1/2(rs)

  A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector

__

(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:

  height = √((slant height)² - radius²) = √(18² -7²) = √275

  height ≈ 16.58 . . . cm

(ii) The length of arc PQR is the circumference of the base of the cone, given by ...

  C = 2πr . . . . where r is the radius of the base of the cone

Filling in the known values, we find ...

  44 cm = 2(22/7)r

  (44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r

The radius of the base of the cone is 7 cm.

The wοrd "unabated" is used in Narrative οf the Life οf Frederick Dοuglass, An American Slave.

The wοrd "unabated" in this cοntext can be interpreted tο mean "cοntinuing withοut any reductiοn in intensity οr strength." "That cheerful eye, under the influence οf slavery, swοre red with rage; that vice, made all οf sweet accοutrement, changed tο a οne οf harsh and hοrrid discοrd; and that angelic face gave way tο that οf a demοn."

The authοr is describing hοw the slavehοlder's pοwer οver the slaves cοrrupts the wοman's character, turning her previοusly kind demeanοur intο οne οf rage and discοntent. The wοrd "unabated" emphasises hοw persistent and unyielding this transfοrmatiοn is and hοw unlikely it is that it will diminish.

By examining the surrοunding text and cοmmοn usage, I was able tο determine the definitiοn οf the wοrd "unabated." In this sentence, the authοr's descriptiοn οf the slavehοlder's transfοrmatiοn is well-suited tο the wοrd "unabated," which is generally used tο describe sοmething that cοntinues withοut any lοss οf intensity οr strength.

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Answer:

The student council needs to sell 38 candy bars so that the money they spend is the same amount as they make.

Step-by-step explanation:

You have to write an expression where the price they spent that includes the money to rent a booth and the amount paid for each candy bar for the number of candy bars purchased is equal to the money spent that is the price at which they sell the candy bars for the number of candy bars sold:

173+0.45x=5x, where x is the number of candy bars

Now, you can solve for x:

173=5x-0.45x

173=4.55x

x=173/4.55

x=38

According to this, the answer is that the student council needs to sell 38 candy bars so that the money they spend is the same amount as they make.

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

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Answer:

Step-by-step explanation:

I cant fully answer it, I'm having trouble with too. But i know for a fact that the cost of a pound of pistachios is 12 dollars. The cost of a pound of almonds is 8 dollars. Sorry -_-

The weight of the truck,  When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river is  11,788 N.

To discover the weight of the truck, we ought to utilize the concept of buoyancy.

When the truck pulls onto the vessel, it uproots a sum of water that breaks even with its claimed weight. The weight of this uprooted water makes an upward buoyant constraint on the pontoon.

The watercraft sinks an extra 5.00 cm, which suggests that the buoyant constraint breaks even with the weight of the truck furthermore the weight of the uprooted water, and this adds up to the weight causing the boat to sink assist.

Let's accept that the thickness of water is 1000 kg/m³ (this can be ordinary esteem for new water). The volume of water uprooted by the pontoon is rise to its length times its width times the profundity it sinks into the water:

V = (6.00 m)(4.00 m)(0.05 m) = 1.20 m³

The weight of this uprooted water is:

Wwater = Vρg = (1.20 m³)(1000 kg/m³)(9.81 m/s²) ≈ 11,788 N

where ρ is the thickness of water and g is the speeding up due to gravity.

Since the buoyant drive is broken even with the weight of the truck furthermore the weight of the uprooted water, we have:

Wtruck + Wwater = Fbuoyant

where Wtruck is the weight of the truck and Fbuoyant is the buoyant drive. Ready to improve this condition to illuminate for the weight of the truck:

Wtruck = Fbuoyant - WWater

The buoyant drive is broken even with the weight of the water uprooted by the watercraft, which we calculated prior to being around 11,788 N. In this manner:

Wtruck = 11,788 N - 0

 Wtruck ≈ 11,788 N

So, the weight of the truck is around 11,788 N. 

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The full question is

A small ferryboat is 4.00m wide and 6.00m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river. What is the weight of the truck?

a) The function y = f(x) that gives the curve bounding the top of the ellipse is y = √(9 - (9/16)x^2). To find the curve bounding the top of the ellipse defined by the equation x^2/16 + y^2/9 = 1, we need to solve for y.

Rearranging the equation, we have y^2/9 = 1 - x^2/16, and multiplying both sides by 9, we get y^2 = 9 - (9/16)x^2. Taking the square root, we obtain y = ±√(9 - (9/16)x^2). Since we are looking for the curve bounding the top of the ellipse, we take the positive square root: y = √(9 - (9/16)x^2). Therefore,

To find the curve bounding the top of the ellipse, we need to solve for y by rearranging the equation. By isolating y, we can determine the upper part of the ellipse.

b) Using ∆x = 1 and considering midpoints, we can approximate the area of the part of the ellipse lying in the first quadrant. We divide the x-axis into intervals of width ∆x and calculate the corresponding y-values using the function y = f(x). Then, we approximate the areas of the rectangles formed by the midpoints and sum them up. Finally, we multiply this sum by ∆x to approximate the area.

To approximate the area of the part of the ellipse lying in the first quadrant, we divide the x-axis into intervals of width ∆x. Then, we calculate the corresponding y-values using the function y = f(x). By considering the midpoints of each interval, we form rectangles. The sum of the areas of these rectangles approximates the total area of the part of the ellipse in the first quadrant. Finally, multiplying this sum by ∆x gives an approximation of the area.

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Answer:

Its infinite solutions

Step-by-step explanation:

A sensible original hypothesis that suggests a positive relationship between two variables could be: "Hypothesis: Increased physical exercise is positively associated with improved cardiovascular health."

The hypothesis suggests that there is a positive relationship between increased physical exercise and improved cardiovascular health. This means that as the level of physical exercise increases, it is expected to result in an improvement in cardiovascular health.

To explain further, the hypothesis is based on the understanding that physical exercise has various beneficial effects on the cardiovascular system. Regular exercise can lead to improvements in heart function, increased blood flow, lower blood pressure, improved cholesterol levels, and better overall cardiovascular fitness.

By proposing this hypothesis, we are suggesting that individuals who engage in more physical exercise will experience greater improvements in their cardiovascular health compared to those who engage in less or no exercise. This hypothesis can be tested through research studies, where data on exercise habits and cardiovascular health measures are collected and analyzed to determine if a positive relationship exists between the variables.

It is important to note that while the hypothesis suggests a positive relationship, further research is needed to provide concrete evidence and establish a causal link between increased physical exercise and improved cardiovascular health.

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An inequality that shows all of the ways that Nita will win if Erik chooses 17 is

This refers to the relation in mathematics that makes an unequal comparison between two numbers or expressions.

Therefore, according to the rules of the game, they would have to make random selections from 0 to 20 and if the difference between their two numbers is less than 10, then Erik wins, the inequality that would show all of the ways that Nita will win if Erik chooses 17 are listed above.

Hence, we can see that the complete question goes thus:

"Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins.

Use what you know about inequalities and absolute values to better understand the game."

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To evaluate the integral ∫132x2 5x dx using the fundamental theorem of calculus, we first need to find the antiderivative of the integrand.

Using the power rule of integration, we have:

∫132x2 5x dx = ∫13(5x)(x2) dx
= 5∫x3 dx
= 5 * (1/4)x4 + C  (where C is the constant of integration)

Thus, the antiderivative of the integrand is (1/4)x4, and the definite integral from x = 1 to x = 3 is:

(1/4)(3^4 - 1^4) = (1/4)(80) = 20

Therefore, using the fundamental theorem of calculus, we can evaluate the integral as:

∫132x2 5x dx = 20

where the fundamental theorem of calculus states that the definite integral of a function is equal to the difference between its antiderivative evaluated at the upper and lower limits of integration.
Hi! I'd be happy to help you evaluate the integral using the Fundamental Theorem of Calculus. The given integral is: ∫(13x^2 + 5x) dx.

Step 1: Find the antiderivative of the given function.
The antiderivative of 13x^2 is (13/3)x^3, and the antiderivative of 5x is (5/2)x^2. So, the antiderivative of the function is F(x) = (13/3)x^3 + (5/2)x^2 + C, where C is the constant of integration.

Step 2: Apply the Fundamental Theorem of Calculus.
The Fundamental Theorem of Calculus states that if F(x) is the antiderivative of a continuous function f(x) on the interval [a, b], then the definite integral of f(x) from a to b is equal to F(b) - F(a).

In this case, you didn't provide the limits of integration (a and b), so we can't complete the evaluation. However, if you have specific limits, simply substitute them into the antiderivative F(x) and find the difference F(b) - F(a) to get the final result.

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The proportional relationship that models the situation is given as follows:

y = 2x/3.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables for this problem are given as follows:

Hence the constant is given as follows:

k = 2/3.

Then the relationship is given as follows:

y = 2x/3.

The problem is incomplete, hence the proportional relationship is given so it can be used to obtain the desired amounts.

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The probability of purple section on spinning is 1/2.

As per the given image of question, we can see there six parts of board. Out of these, three parts of board are purple colored.

Now, the formula of probability is -

Probability = number of favorable outcomes÷total number of outcomes

Number of favorable outcomes = number of purple colored parts of board

Number of favorable outcomes = 3

Number of favorable outcomes = number of colored parts of board

Number of favorable outcomes = 6

Keep the value in formula to find the probability -

Probability = 3/6

Performing division

Probability = 1/2

Hence, the probability that the spinner will land on a purple section of the board is 1/2.

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The complete question is -

Calculate the probability of the spinner landing on a purple section of the board. What is the probability that the spinner will land on a purple section if the board.

A) 1/6

B) 2/6 or 1/3

C) 3/6 or 1/2​

Answer:

Turkey Trot

Pumpkin Pie

Family Dinner

Mashed Potatoes

Football

Wish bone

Carve the Turkey

Green Beans

Cornucopia

Black Friday Shopping

Thanks Giving

Table Clothes

November

Drumsticks

Thanksgiving Parade band

Please Consider Brainliest! Hope I helped!

Poisson arrivals occur on a server with a utilization factor of 13 at a typical rate of 2 per hour. The mean service time in minutes for each arrival unit is 10 if the service time for each unit has an exponential distribution. Here option D is the correct answer.

We can use Little's law to relate the average number of customers in the system to the average time they spend in the system:

L = λW

where L is the average number of customers in the system, λ is the arrival rate, and W is the average time spent in the system.

Since the server utilization factor is 1/3, we know that the service rate is 3 times the arrival rate:

μ = 3λ = 6

We can then use the formula for the expected value of the exponential distribution with rate parameter μ to find the average service time:

E[X] = 1/μ

E[X] = 1/6 hour = 10 minutes

Little's law is used to relate the average number of customers in the system to the average time they spend in the system, and the service rate is calculated from the given utilization factor. The formula for the expected value of the exponential distribution is then used to find the average service time, which is 10 minutes.

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Answer:

1/9

Step-by-step explanation:

You do 1/3 divided by 3 which is 1/3 times 1/3 which equals 1/9

To estimate the probability that a randomly selected person would pass the driving test on the first attempt, we can divide the number of people who passed on the first attempt (6500) by the total number of people who took the test (10,000).

Probability = Number of favorable outcomes / Total number of possible outcomes.In this case, the favorable outcome is passing the test on the first attempt, and the possible outcomes are all the people who took the test.

Probability = 6500 / 10000= 0.65

Therefore, the estimated probability that a randomly selected person would pass the driving test on the first attempt is 0.65 or 65%. This means that there is a 65% chance that a randomly selected person from the group of 10,000 would pass the driving test on their first try.

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The relationship between the variables x, y and z is an illustration of similar triangles

The values of x, y and z are 6, \(\sqrt{117}\) and \(\sqrt{52\)

Right triangles are triangles with an angle measure of 90 degrees, and we have the following equivalent ratio from the triangle

\(x : 9 = 4 : x\)

Express as fraction

\(\frac x9 = \frac 4x\)

Cross multiply

\(x^2 = 36\)

Take the square root of both sides

\(x = 6\)

The value of y is then calculated using the following Pythagoras theorem

\(y = \sqrt{9^2 + x^2\)

This gives

\(y = \sqrt{9^2 + 6^2\)

\(y = \sqrt{117\)

The value of z is then calculated using the following Pythagoras theorem

\(z = \sqrt{4^2 + x^2\)

This gives

\(z = \sqrt{4^2 + 6^2\)

\(z = \sqrt{52\)

Hence, the values of x, y and z are 6, \(\sqrt{117}\) and \(\sqrt{52\)

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Answer:

Step-by-step explanation:

L=$108/12h=$9 per hour

J=$216/18h=$12 per hour

So Julie makes the most per hour.

Answer:

Julie

Step-by-step explanation:

Laurie 108 divided by 12 = $9.00

Julie 216 divided by 18 =  $12.00

Answer:

So the time is 5:17 am

Answer:

The size of the garden is 75 by 1! The perimeter is 75 + 1 + 75 + 1, or 152.

Step-by-step explanation:

Alright, so what I'm seeing is that the measure of the sides will never change. It's always 2. That makes your life easier because you just take the remaining 2 sides!

So, to figure that out, first, you've gotta subtract 2 from 152. That's 150. Then, for the remaining 2 sides, you have to divide 150 by 2, which is 75.

Therefore, the size of the garden is 75 by 1! The perimeter is 75 + 1 + 75 + 1, or 152.

*mike dropeth*

The geometric mean between pair of numbers 12 and 9 is 10.39

We know that for a sequence of numbers x1, x2,.., xn

The formula of geometric mean is,

\(\Pi = \sqrt[n]{x_1.x_2...x_n}\)

In this question, we have been given two numbers 12 and 9

We need to find the geometric mean between pair of numbers, 12 and 9.

Using the formula for the geometric mean,

\(\Pi = \sqrt[n]{x_1.x_2...x_n}\)

In this question, we have two numbers.

So, the value of n is 2.

\(\Pi = \sqrt{12\times 9}\\\\\Pi=\sqrt{108}\\\\ \Pi=10.39\)

Therefore, the geometric mean between pair of numbers 12 and 9 is 10.39

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Answer:

we have the width is 8 cm and the diagonal line is 17 cm so to get the length you're going to use Pythagoras theorem so 8 centimetres will be represented by a 17cm will be represented by c then length will be represented by b so b squared is equals to c squared minus a squared say 17 squared - 8 squared 17 squared is 289 while 8 squared is 64 the result will be 225 so b squared is equals to 225 to get b we will get the square root so b is equals to 15 so our length is 15 the area is equals to length x width so 15 * 8 you get 120 square centimetres

120 square centimeters is the area of rectangle FGHK.

Area of a rectangle (A) is the product of its length (l) and width (w).

here, we have,

from the given figure,

we have the width is 8 cm and the diagonal line is 17 cm

so to get the length you're going to use Pythagoras theorem

so 8 centimeters will be represented by a

17cm will be represented by c

then length will be represented by b

so b squared is equals to c squared minus a squared

say 17 squared - 8 squared

17 squared is 289 while 8 squared is 64

the result will be 225

so b squared is equals to 225

to get b we will get the square root

so b is equals to 15

so our length is 15

the area is equals to length x width

so 15 * 8

you get 120 square centimeters.

hence, 120 square centimeters is the area of rectangle FGHK.

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The rectangular coordinates for the given point in cylindrical coordinates (0, 11π/6, 0.5) are (0, 0, 0.5). The x and y coordinates are both 0, while the z coordinate remains unchanged at 0.5.

To convert from cylindrical to rectangular coordinates, we can use the following formulas:

\(x = r * cos(\theta)\\y = r * sin(\theta)\\z = z\)

In this case, the given cylindrical coordinates are (0, 11π/6, 0.5).

Using the formulas above, we can calculate the corresponding rectangular coordinates.

First, let's consider the angle θ, which is 11π/6. Since the cosine and sine functions have values that repeat after every 2π, we can simplify the angle by subtracting 2π.

\(\theta = 11\pi/6 - 2\pi = \pi /6\)

Now, we can substitute the values into the formulas. Since the radius r is given as 0, the corresponding rectangular coordinates will be:

\(x = 0 * cos(\pi /6) = 0\\y = 0 * sin(\pi /6) = 0\\z = 0.5\)

Therefore, the rectangular coordinates for the given point in cylindrical coordinates (0, 11π/6, 0.5) are (0, 0, 0.5).

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The number of plastic tubing needed to fit around the edge of the pool is 423.3 ft².

The number of plastic tubing needed to fit around the area is calculated from the difference between the area of the rectangle and area of the circular pool.

Area of the circular pool is calculated as;

A = πr²

where;

A = π (15 ft / 2)²

A = 176.7 ft²

The area of the rectangle is calculated as follows;

A = length x breadth

A = 20 ft x 30 ft

A = 600 ft²

The number of plastic tubing needed to fit around the edge of the pool is calculated as;

The difference in the area = 600 ft² - 176.7 ft² = 423.3 ft²

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The amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal. In order to determine how much tile is needed, you will need to measure the surface area of the pedestal.

The pedestal's dimensions are height, breadth, and length.

Multiply the height, width, and length of the pedestal to calculate the surface area.

Multiply the surface area by the number of tiles needed to cover the pedestal. To determine the number of tiles needed, divide the surface area by the area of each tile.

For example, if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long, the surface area is 16 square feet. If each tile has an area of 1 square foot, then it will take 16 tiles to cover the pedestal.

In conclusion, the amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal and the size of the tiles. To determine the amount of tile needed, measure the surface area of the pedestal and then multiply it by the number of tiles needed to cover the pedestal.

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The pedestal's size and shape will determine how much tile is required to cover it. It will take 1176cm² of tiles to cover the pedestal.

You will need to measure the pedestal's surface area in order to figure out how many tiles you need. The height, width, and length of the pedestal are the same. To determine the surface area, multiply the pedestal's height, width, and length.

S = 2*s1 + s2 + 2*s3

= 96 + 480 + 600

= 1176

Divide the total number of tiles required to cover the pedestal by the surface area. Divide the surface area by the area of each tile to determine the required number of tiles.

The surface area, for instance, is 16 square feet if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long. 16 tiles will be required to cover the pedestal if each tile has a surface area of one square foot.

In conclusion, the dimensions of the tiles and the pedestal's size will determine how much tile is required to cover the pedestal. Multiply the surface area of the pedestal by the number of tiles required to cover it to find the required quantity of tiles.

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Answer:

2

Step-by-step explanation: