A circular swimming pool has a diameter of 24 feet and a water height of 3.5 feet. A pump fill the pool at a rate of 1.2 cubed (9 gallons) per minute about how long will it take to fill the pool (in hours )

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

66

Step-by-step explanation:

the first answer is correct

Answer:

87

Step-by-step explanation:

just trust!

Based on your annual review score of 3.4, you would receive a merit increase of 2.5%.

To determine the merit increase based on your annual review score of 3.4, we need to calculate the increase increment based on the given scale.

First, we need to determine the number of 0.4-point increments between your score of 3.4 and the baseline score of 2.6, which is the starting point for merit increases. The difference is 3.4 - 2.6 = 0.8.

Since the merit increases go up by 1% for every 0.4 points, we divide the difference of 0.8 by 0.4 to find the number of 0.4-point increments:

0.8 / 0.4 = 2

So, there are 2 increments of 0.4 points.

Next, we calculate the merit increase percentage. The baseline increase is 0.5%, and it increases by 1% for each 0.4-point increment. Since we have 2 increments, the increase percentage would be:

0.5% + 2 * 1% = 0.5% + 2% = 2.5%

Therefore, based on your annual review score of 3.4, you would receive a merit increase of 2.5%.

It's important to note that this calculation assumes a linear progression of merit increases based on the given criteria. The actual merit increase policy may vary depending on company practices and policies.

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Answer:

\(y=4x+b\) (four being the slope)

Step-by-step explanation:

So lets use

ΔY/ΔX

or the y2-y1 over x2-x1

\(\frac{-8+4}{-3+2}\)

\(\frac{-4}{-1}\)

Therefore, the slope is 4

Answer:

(-2,-4)

x= -2 and y= -4

(-3,-8)

x= -3 and y= -8

Answer:

Step-by-step explanation:

By the property,

"Measure of the intercepted arc is double of the inscribed angle"

m(arc BC) = 2×48°

                = 96°

By using the same property,

m(arc AC) = 2 × m(∠B)

m(∠B) = \(\frac{110}{2}\)

          = 55°

m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]

48° + 55° + m(∠C) = 180°

m(∠C) = 180° - 103°

          = 77°

m(arc AB) = 2 × (m∠C)

                = 2×77

                = 154°

Answer:

60

Step-by-step explanation:

The smallest number that is divisible by 15, 20 , and 30, must have the needed factors of each of these numbers:

15 = 3 * 5

20 = 2 * 2 * 5

30 = 2 * 3 * 5

Then the minimum common factor must have the following factors to satisfy the divisibility of all of the numbers above:

2 * 2 * 3 * 5 = 60

Answer: the answer is 9

Step-by-step explanation:

Answer:

its 20 because he ran 20 from jones

Answer:

B

y = 3 cos (pi/12x - pi/4) + 17

Step-by-step explanation:

First find the average temperature which is 20 + 14/2 = 17

Find the amplitude

20 - 17 = 3

This means that that at noon, the shift is 3hrs past

the best equation that represents this scenario is \(y = 3 cos (\frac{\pi}{12}x - \frac{\pi}{4}) + 17\)

The equation that represent this data is \(y = 3 cos(\frac{\pi}{12}x - \frac{\pi}{4} ) + 17\)

The following information should be considered:

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Answer:

1886 miles

Step-by-step explanation:

82 x 23 is 1886, 82 miles each day times 23 days.

Answer:

21$

Step-by-step explanation:

2 pizzas =18 plus 3 toppings which equals 21$

Answer:

34

Step-by-step explanation:

(40×85)/100

3400/100

34

is right answer

Answer:

i odnt know im sorry

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Trust me, take the square root of 24, which divides into 2 x 2 x 2 x 3, and you pull a pair of 2 out, left inside a 6

Answer:

Step-by-step explanation:

The area (A) of a trapezoid is calculated as follows:

A = 1/2 * sum of the parallel sides * height

In this case:

A = 1/2 * (3.4 + 1.1) * 2 = 4.5 cm^2.

Answer: 45

Step-by-step explanation:

\(f(-5)=2(-5)^{2} -5\)

\(f(-5)= 2(25) -5\)

\(f(-5) = 50-5\)

\(f(-5) = 45\)

Answer:

when u find out can u pls lmk j have the same question too & I'm stuck on it!

Answer:

I would say Inductive reasoning.

Step-by-step explanation:

Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.

Hope this helps you out a bit.

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:30mph

Step-by-step explanation:

We know that the ratio must be 2:3. We know that 30 is 10 more than 20, which also fits into the ratio, so 30mph is the answer.

Answer:

5.30

Step-by-step explanation:

11.58 + 3.14 = 14.72

20 - 14.72 = 5.28

nearest dime is 5.30

Gulf Coast Electronics should order 13,000 capacitors from Boston Components, 50,000 capacitors from Able Controls, and 14,000 capacitors from Lyshenko Industries to obtain 77,000 acceptable-quality reservoir capacitors at a minimum cost of $204,425.

To minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors, we can formulate the following linear program:

Objective function:

Minimize: 2.35B + 2.6A + 2.85L

Subject to:

B + A + L = 77000 (total number of capacitors required)

B ≥ 0.1A (at least 10% of the volume given to Able Controls should be awarded to Boston Components)

L ≥ 29500 (at least 29,500 capacitors should be ordered from Lyshenko)

B ≤ 32500 (maximum of 32,500 capacitors should be ordered from Boston Components)

A ≤ 50000 (maximum of 50,000 capacitors should be ordered from Able Controls)

L ≤ 48500 (maximum of 48,500 capacitors should be ordered from Lyshenko)

0 ≤ B, A, L (non-negativity constraints)

Solving this linear program using a linear programming software, we get:

B = 13000

A = 50000

L = 14000

Correct Question :

Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, has inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.4% of capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components’ defective rate to be 12%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 77000 acceptable-quality capacitors to use in its electronic devices. To ensure that Boston Components will receive some of the contract, management specified that the volume of reservoir capacitors awarded to Boston Components must be at least 10% of the volume given to Able Controls. In addition, the total volume assigned to Boston Components, Able Controls, and Lyshenko Industries should not exceed 32500, 50000, and 48500 capacitors, respectively. Because of Gulf Coast’s long-term relationship with Lyshenko Industries, management also specified that at least 29500 reports should be ordered from Lyshenko. The cost per capacitor is $2.35 for Boston Components, $2.6 for Able Controls, and $2.85 for Lyshenko Industries.

Formulate and solve a linear program for determining how many reservoir capacitors should be ordered from each supplier to minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer is zero. If the constant is "1" it must be entered in the box.

Let B = number of capacitors ordered from Boston Components

Let A = number of capacitors ordered from Able Controls

Let L = number of capacitors ordered from Lyshenko Industries

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The equations for the horizontal line and the vertical line are y = - 3 and x = 4, respectively.

Herein we find the case of a point (x, y) = (a, b), from which we must derive the equations for the horizontal line and the vertical line, whose forms are described below:

Horizontal line

y = b

Vertical line

x = a

If we know that (x, y) = (4, - 3), then the equations for the horizontal and vertical lines are, respectivelly:

Horizontal line

y = - 3

Vertical line

x = 4

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The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:b

Step-by-step explanation:

Answer:

$16.50 on 3 bags of dog food

Step-by-step explanation:

First you would do 27.50/5 to find out how much one bag costs.

The symbol  /  mean to divide. So 27.50 divided by 5 is 5.50. We need to know the ammount of 3 bags. Hence, we evaluate 3 times 5.50 which equals to our answer, $16.50 on 3 bags of dog food. I hope this will help you succeed!

Answer:

116

Step-by-step explanation:

110+79+55=244

360-244=116

Answer:

116

Step-by-step explanation:

The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.

To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:

1(1!)+2(2!) +3(3!) +4(4!) +3(3!)

= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)

= 1 + 4 + 18 + 96 + 18

= 137

Therefore, the value of the summation when m = 3 is 137.

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