16 workers will build a house; they can do so in 144 days. if all workers work a the same rate, how many more workers would be needed to build the same house in 96 days

Answer:

12 units

Step-by-step explanation:

\(\sin 30\degree = \frac{AC}{BC} \\ \\ \frac{1}{2} = \frac{AC}{24} \\ \\ 2AC = 24 \\ \\ AC = \frac{24}{2} \\ \\ AC = 12 \: units\)

Using the angle of elevation we calculate the height of the smaller building to be approximately 8.99 meters.

Let the height of the smaller building be x.

Distance between the two buildings = 18.5 meters.

Angle of elevation = 18°

From the properties of trigonometric ratios we know that:

tan 18° = (15 - x) / 18.5 as tan is the ratio of perpendicular and base of a triangle.

solving we get :

15 - x = 6.011 m

or, x = 8.99 m

The shorter building is approximately 8.99 meters tall.

The angle of elevation is described as "the angle formed between the horizontal line and the line of sight when an observer looks upwards" in mathematics. It is always higher and at a greater angle than the observer.

An angle of depression is produced when someone looks down, which is the opposite of an angle of elevation.

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The equation of the line is y = -2

Let's assume that the tank has a capacity of 1 unit (you can use any unit of measurement).

If pump "A" can fill the tank in 10 hours, then in 1 hour, pump "A" can fill 1/10th (1/10) of the tank.

If pump "A" and pump "B" working together can fill the tank in 6 hours, then in 1 hour, their combined rate is 1/6th (1/6) of the tank.

Let's denote the rate at which pump "B" fills the tank by "x" (in units per hour).

So, the rate at which pump "A" fills the tank is 1/10 and the combined rate of pump "A" and pump "B" is 1/6.

The combined rate of pump "A" and pump "B" can be expressed as the sum of their individual rates:

1/10 + x = 1/6

Now, let's solve this equation to find the value of "x," which represents the rate of pump "B."

1/10 + x = 1/6

Multiply both sides by 60 (the least common denominator of 10 and 6) to eliminate the fractions:

6 + 60x = 10

Subtract 6 from both sides:

60x = 4

Divide both sides by 60:

x = 4/60

Simplifying the fraction:

x = 1/15

Therefore, pump "B" can fill the tank at a rate of 1/15th (1/15) of the tank per hour.

To find the time it would take for pump "B" to fill the tank by itself, we can calculate the reciprocal of its rate:

1 / (1/15) = 15

So, pump "B" would take 15 hours to fill the tank by itself.

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The given statement "context switching is required by all preemptive algorithms " is False.

Context switching is not required by all preemptive algorithms. Preemptive algorithms allow the operating system to interrupt the currently executing process and switch to another process.

Context switching involves saving the state of the currently running process and restoring the state of the next process to be executed. While context switching is a common mechanism in preemptive scheduling algorithms, there are non-preemptive algorithms that do not require context switching as they allow processes to run until they voluntarily release the CPU.

So, the statement that context switching is required by all preemptive algorithms is false.

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The solutions to the equation are x=1.25 and x=0.5. These are the values of w that make the equation true.

To solve the quadratic equation \(8w^(2)-14w+5=0\) using the quadratic formula, we first need to identify the values of a, b, and c. In this case, a=8, b=-14, and c=5. The quadratic formula is:

\(x = (-b ± √(b^(2)-4ac))/(2a)\)

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

\(x = (-(-14) ± √((-14)^(2)-4(8)(5)))/(2(8))\)

Simplifying the equation, we get:

x = (14 ± √(196-160))/16

x = (14 ± √36)/16

x = (14 ± 6)/16

Now we can solve for the two possible values of x:

x = (14+6)/16 = 20/16 = 1.25

x = (14-6)/16 = 8/16 = 0.5

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Answer:

Heyo! the answer is A since their implying it's important :)

The volume of the hexagonal prism is the amount of space in it.

From the complete question, we have:

Length (l) = 8

Height (h) = 5

The surface area of the hexagonal prism is:

\(A=6lh+3l^2\sqrt 3\)

So, we have:

\(A=6*8*5+3*5^2\sqrt 3\)

Evaluate

\(A = 369.9\)

Hence, the surface area is 369.9 square feet

The volume of the hexagonal prism is:

\(V = \frac{3\sqrt 3}{2} * l^2h\)

So, we have:

\(V = \frac{3\sqrt 3}{2} * 8^2 * 5\)

Evaluate

\(V = 831.4\)

Hence, the volume is 831.4 cubic feet

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To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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Answer:

72cm

Step-by-step explanation:

Original length of the cube = 9cm

Perimeter of the original cube = 4L

Perimeter of the original cube = 4(9)

Perimeter of the original cube = 36cm

If the cube is increased by a factor of 3, new length will be 3(9) = 27cm

Perimeter of the new cube = 4*27

Perimeter of the new cube = 108cm

Difference =108 - 36

Difference = 72cm

Hence the new cube is 72cm larger than the original

Answer:

72cm

Step-by-step explanation:

Since they need to find the weight of their suitcases to make sure they meet airline regulations. the units that they should use Kg.

Airport passengers are often needed to put only at least a single baggage any time in the check-in self-service so that the baggage can be checked and identified.

Note that the Maximum Weight per piece is said to be 50 lb/23 kg and the Maximum Dimensions is said to be 45 linear inches or 115 cm (including the length + width + height)

Therefore, Since they need to find the weight of their suitcases to make sure they meet airline regulations. the units that they should use Kg.

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See full question below

Maria and Jose, students at Mississippi Valley State University, are going to study abroad in Spain. They need to find the weight of their suitcases to make sure they meet airline regulations. What units should they use?

The value of the unknown variable p is 11 and the complete argument is:

Use the first two points to find the equation of the line, then replace x and y with 9 and p, respectively, and solve for p.

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

(3, 7), (−6, 1), and (9, p)

The meaning of the above notations are

Ordered pairs (x, y) =  (3, 7), (−6, 1), and (9, p)

The slope of points is calculated using the following slope equation

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Substitute the known values in the above equation, so, we have the following representation

(p - 1)/(9 + 6) = (7 - 1)/(3 + 6)

Evaluate the difference

This gives

(p - 1)/15 = 2/3

So, we have

p - 1 = 10

Add 1 to both sides

So, we have

p = 11

Hence, the value of p is 11

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Answer:

Not sure, but possibly 4...I'm not good at this math

Step-by-step explanation:

12/3=4

Por lo tanto, la cantidad de interés que se pagará en el préstamo de 30,000 pesos durante 3 años con una tasa de interés anual del 17.5% es de 16,691.25 pesos.

para calcular la cantidad de interés que se pagará en un préstamo de 30,000 pesos con una tasa de interés anual del 17.5% durante 3 años, es necesario utilizar la fórmula de interés compuesto. Esta fórmula es: I = P * (1 + r)^n - P, donde I es el interés, P es el principal, r es la tasa de interés anual y n es el número de períodos.

En este caso, el principal es 30,000 pesos, la tasa de interés anual es del 17.5%, y el número de períodos es de 3 años. Entonces, podemos calcular el interés utilizando la fórmula:

I = 30,000 * (1 + 0.175)^3 - 30,000 = 16,691.25 pesos.

Es importante recordar que el interés compuesto aumenta con el tiempo, por lo que es importante considerar esto al planificar préstamos y financiamientos.

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Answer:

\(D = 0.42m\)

Step-by-step explanation:

Given

Force = 0.052 N when Distance = 1.6 m

Required

Find Force; when distance = 0.74 N

The question says force is inversely proportional to square of distance;

Let F represent Force and D represent Distance;

Mathematically;

\(F\alpha \frac{1}{D^2}\)

Convert proportion to equation

\(F = \frac{k}{D^2}\)

Where k is the proportionality constant; This means that k is always constant

Make k the subject of formula

\(F * D^2 = \frac{k}{D^2} * D^2\)

\(FD^2 = k\)

When F = 0.052 and D = 1.6; the value of k is as follows

\(0.052 * 1.6^2 = k\)

\(0.13312 = k\)

\(k = 0.13312\)

When F = 0.74;

Recall that k is always constant; so \(k = 0.13312\)

To solve for D, we'll make use of \(F = \frac{k}{D^2}\)

Substitute \(k = 0.13312\) and F = 0.74;

\(0.74 = \frac{0.13312}{D^2}\)

Multiply both sides by D²

\(0.74 * D^2 = \frac{0.13312}{D^2} *D^2\)

\(0.74 * D^2 = 0.13312\)

Divide both sides by 0.74

\(\frac{0.74 * D^2}{0.74} = \frac{0.13312}{0.74}\)

\(D^2 = \frac{0.13312}{0.74}\)

\(D^2 = 0.17989189189\)

Take square roots of both sides

\(D = \sqrt{0.17989189189}\)

\(D = 0.42413664294\)

\(D = 0.42m\) (Approximated)

Answer:

option D is correct answer

I hope my answer is helpful to you

please give me five star rating

Answer:

0.167 is rational

2/6 is rational and the other two is irrational

:)

Step-by-step explanation:

Answer: v = 92

Step-by-step explanation:

8.81. (v – 89) – 10 = 16.43

8.810 +8.81. -89 – 10 = 16.43

8.81v – 784.09 – 10 = 16.43

8.81v – 794.09 = 16.43

8.81v – 794.09 = 16.43

(8.810 – 794.09) + 794.09 = 16.43 + 794.09

8.81v = 16.43 + 794.09

8.81v = 810.52

8.81v = 810.52

810.52

(8.81) 8.81

8.81

810.52 / 8.81

v = 92

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm

Given margin of error increases as the margin of error increases.

To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.

The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.

∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.

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Answer:

31.5 (multiplied it after)

Step-by-step explanation:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Answer:

31.5

Step-by-step explanation:

6x+7=10x

-6x   =-6x

7= 4x

x= 7/4

If x= 7/4

18(7/4)= 31.5

There are 472 more buttons bought by Vance than beads.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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The kilogrammes of calcium found in 173 pounds of calcium is = 78.5 kg. That is option A.

First convert the 173 pounds of calcium to gramma

1 lb(pounds) = 454 g;

Therefore 173 pounds = 173 ×454

                                    = 78,542g

But,             1000 g = 1kg

Therefore, 78542g = 78542  ÷1000

                                = 78.542

                                =78.5kg.

Therefore, the kilogrammes of calcium found in 173 pounds of calcium is = 78.5kg.

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Answer: Shirt = $7 and Sweater = $18

Step-by-step explanation:

5 Shirts, 3 sweaters = $89   (1)
9 Shirts, 8 sweaters = $207 (2)

1 Shirt = $?

1 Sweater = $?

Shirts = x

sweaters = y

(1) -> 5x + 3y = 89

(2) -> 9x + 8y = 207

(1) * 8 = 40x + 24y = $712

(2) * 3 = 27x + 24y = $621

(1) single out 24y -> 24y = $712 - 40x

put value of 24 y into (2)

(2) -> 27x + $712 - 40x = $621

Now solve

-13x = $-91

remove negative -> 13x = $91

x = $7

So a shirt is $7

And we can put $7 into (1) at the start -> 5(7) + 3(y) = $89

35 + 3y = $89

3y = $54

y = $18

Hence x = $7 and y = $18

So Shirt = $7 and Sweater = $18

Using property of independent events, there should be 12 sophomore girls present in the class.

If the occurrence of one event has no bearing on the likelihood that the other will also occur, then the two events are independent. The likelihood that both occurrences A and B will occur is defined mathematically as being equal to the product of the probabilities of A and B (i.e., P) (A and B)

Given,

There are twelve freshmen boys, sixteen freshmen girls, and nine sophomore boys

and two events are independent if,

p(A ∩ B) = P(A). P(B)

Let sophomore girls present = x

               Freshmen       sophomore        Total

Boys              12                     9                    21

Girls               16                     x                    16 + x

Total              28                 9 + x                37 + x

P(Boys) = \(\frac{21}{37 + x}\)

P(Freshmen) = \(\frac{28}{37 + x}\)

P(Boys ∩ Freshmen) = \(\frac{12}{37 + x}\)

Using p(A ∩ B) = P(A). P(B),

\(\frac{12}{37 + x} = \frac{21}{37 + x} \times \frac{28}{37 + x}\)

\(12(37 + x) = 21 \times 28\\x = 12\)

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Answer: The answer is 0.

Step-by-step explanation:

2(3x-1) = 4x

6x-2 = 4x

-2 = -2x

0 = x