What number is this 5 x 10 ^2 + 3

Jonathan's aquarium holds 20 gallons of water, which is equivalent to 75708.8 milliliters. If he fills the aquarium at a rate of two gallons per minute, he is adding 7.57 liters (7570 milliliters) of water per minute. To find out how many milliliters of water are going into the aquarium every second, we can divide this value by 60 Therefore, the rate of water going into the aquarium is approximately 126.2 milliliters per second.

To find the milliliters of water going into the aquarium every second, follow these steps:

1. Determine the total amount of water added per minute: Jonathan fills the aquarium at a rate of 2 gallons per minute.
2. Convert gallons per minute to milliliters per minute: 1 gallon = 3,785.41 milliliters. So, 2 gallons per minute = 2 x 3,785.41 milliliters = 7,570.82 milliliters per minute.
3. Convert milliliters per minute to milliliters per second: 1 minute = 60 seconds. So, 7,570.82 milliliters per minute ÷ 60 seconds = 126.18 milliliters per second.

Therefore, 126.18 milliliters of water are going into Jonathan's aquarium every second.

To learn more about  conversions click here

brainly.com/question/30065592

#SPJ11

Answer:

A = 40x + 175

B  = 50x + 125

5 hours

Step-by-step explanation:

The equations are as follows:

According to the question

Let us assume the number of hours be x

For company A

40x + 175

For company B

50x + 125

Now equate these two equations

40x + 175 = 50x + 125

175 - 125 = 10x

x = 5

Hence, the number of hours is 5

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

Visit to know more about Probability:-

brainly.com/question/13604758

#SPJ11

9514 1404 393

Answer:

  y = -3/2x +11

Step-by-step explanation:

The slope of the parallel line is the same as the slope of the given line, so ...

  m = -3/2

The y-intercept of the parallel line can be found from ...

  b = y -mx

  b = 5 -(-3/2)(4) = 11

So, the desired equation is ...

  y = mx +b

  y = -3/2x + 11

_____

Additional comment

Since you know the slope and a point on the desired line, you can write down the equation directly using the point-slope form. No additional math is required.

  y -5 = -3/2(x -4)

The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

To know more about area click here

brainly.com/question/13194650

#SPJ11

The solution to the initial value problem is \(y(t) = e^{(-t)} + 4e^{(-5t)} + 24e^t.\)

As per the question given,  

To solve the initial value problem using Laplace transformation, we need to apply the Laplace transform to both sides of the equation and use the initial conditions to solve for the unknown constants.

Taking the Laplace transform of the equation, we get:

\(L{y''} + 6L{y'} + 5L{y} = 24L\)\(e^{t}\)

Using the properties of Laplace transform, we can simplify this to:

\(s^2\) \(Y(s) - sy(0) - y'(0) + 6sY(s) - 6y(0) + 5Y(s) = 24/(s-1)\)

Substituting the initial conditions, we get:

\(s^2Y(s) - 2s - 6 + 6sY(s) - 12 + 5Y(s) = 24/(s-1)\)

Simplifying further, we get:

\((s^2 + 6s + 5)Y(s) = 24/(s-1) + 2s + 6\)

\(Y(s) = [24/(s-1) + 2s + 6] / (s^2 + 6s + 5)\)

To find the inverse Laplace transform of Y(s), we need to factor the denominator and use partial fractions:

\(Y(s) = [24/(s-1) + 2s + 6] / [(s+1)(s+5)]\)

\(Y(s) = [A/(s+1) + B/(s+5)] + [24/(s-1)]\)

Multiplying both sides by (s+1)(s+5)(s-1), we get:

\(24 = A(s+5)(s-1) + B(s+1)(s-1) + 24(s+1)(s+5)\)

Substituting s = -1, we get:

24 = 6B

B = 4

Substituting s = -5, we get:

24 = 24A

A = 1

Therefore, the partial fraction decomposition is

\(Y(s) = [1/(s+1) + 4/(s+5)] + [24/(s-1)]\)

Taking the inverse Laplace transform of each term, we get:

\(y(t) = e^{(-t)} + 4e^{(-5t)} + 24e^t\)

For such more questions on LaPlace

https://brainly.com/question/30358120

#SPJ4

Lexi and Rosalinda's cuts are parallel because they are straight lines that never intersect and are equidistant from each other.

In the example at the beginning of the lesson, Lexi and Rosalinda made cuts that are parallel to each other. Parallel lines are lines that never intersect and are always equidistant from each other.

To understand why their cuts are parallel, let's look at the definition of parallel lines. When two lines are cut by a transversal (a line that intersects two or more lines), the corresponding angles formed by the transversal and the two lines are congruent.

In the example, Lexi and Rosalinda made cuts on a sheet of paper. The cuts created two lines that intersected with another line (the edge of the paper) at different points. Since the cuts were made by the same person using a ruler, they were made in a straight line.

These straight lines, when extended, would never intersect with each other or the edge of the paper. This means that Lexi and Rosalinda's cuts are parallel lines.

To summarize, Lexi and Rosalinda's cuts are parallel because they are straight lines that never intersect and are equidistant from each other.

Know more about straight lines

https://brainly.com/question/30732180

#SPJ11

A logical argument cannot have a true conclusion and all true premises. A logical argument cannot have all true premises if it has a false conclusion. So at least one of the premises must be untrue.

If the premises and conclusion are connected in such a way that if the premises were true, then the conclusion would also have to be true, then the argument is considered valid.

FALSE. A strong argument has all true premises and is valid. Since a good argument is valid, it follows that the conclusion must also be true if all of the premises are true. A sound argument must have a true conclusion since a sound argument also has all true premises.

Hence we get the required answer.

Learn more about Arguments here:

brainly.com/question/860494

#SPJ4

Answer:

Rounded:

596.05

OR

596.046

Raw:

596.046447754

Step-by-step explanation:

Solved with sci calculator

The function in Excel that we should use to find a measurement M given a right-tail probability (or area) A is = NORM.INV(1-A, mu, sigma)

In order to find a measurement M given a right-tail probability A in Excel, we can use the NORM.INV function. The NORM.INV function in Excel returns the inverse of the normal cumulative distribution for a given probability.

The formula for NORM.INV function is:

= NORM.INV(1-A, mu, sigma)

where:

A is the right-tail probability (or area)

mu is the mean of the distribution

sigma is the standard deviation

The function returns the measurement M such that the right-tail area from M to infinity under the normal curve is equal to A.

Note - In some versions of Excel, the function may be called NORM.INV.RT instead of NORM.INV.

Read more about standard deviation:

brainly.com/question/24298037

#SPJ4

Answer:

1/4=25 minutes an hour

25×2=50

it will take him 50 minutes

Answer:

502.86 feet

Step-by-step explanation:

16 * 2 = diameter = 32

circumference = diameter * pi = 32 * 22/7 = 704 / 7

circumference * 5 = 704 / 5 * 5 = 3520 / 7 = 502.857142857

which is about: 502.86

Answer:

the top one is 30 the second one is 60.22 the third one is 66.7 the forth one is 59.8

y = 2  ( x −3 )  2  −8 is the correct answer to the question

What are the effects on the graph of y=x^2 caused by the values of a, h, and k in the function y=a(x-h)^2+k

Answer:

A

Step-by-step explanation:

if a = amount of adult tickets and c = amount of children's tickets

4 adult tickets plus 2 children's tickets equals $36.50

4a + 2c = 36.50

Also, 3 adult tickets and 5 children's tickets equals $38.75

3a + 5c = 38.75

The five solutions are :

By calculating the residuals (e_i) for each observation in the dataset and minimizing their sum of squares, we can estimate the regression coefficients (b_0, b_1, b_2) using various regression techniques such as ordinary least squares.

To calculate the residual score for the dependent variable y in the regression equation, we need to subtract the predicted value of y from the actual observed value of y. The regression equation with subscripts to calculate the residual score for y is:

e_i = y_i - (b_0 + b_1 * x_1i + b_2 * x_2i)

where:

e_i is the residual score for the i-th observation of y,

y_i is the actual observed value of y for the i-th observation,

b_0 is the intercept coefficient,

b_1 is the coefficient for the first independent variable x_1,

x_1i is the value of the first independent variable for the i-th observation,

b_2 is the coefficient for the second independent variable x_2,

x_2i is the value of the second independent variable for the i-th observation.

Know more about regression here;

https://brainly.com/question/31848267

#SPJ11

The way that the sample size would have to change to decrease the length of the confidence interval is to increase from 400 to 1600.

The confidence interval's length is directly proportional to the sample size. The specific relationship between these two factors follows an inverse proportion that correlates to the square root of the sample size.

One could represent this correlation through a proportionality statement: the larger the sample size, the smaller the confidence interval's length becomes.

Given that L1 = 0. 06 and n1 = 400, we want to find n2 such that L 2 = 0. 03:

L1 / L2 = √(n 2 / n 1)

The values would then be:

L1 / L2 = √ ( n2 / n1 )

0.06 / 0.03 = √ ( n2 / 400)

2 = √ (n2 / 400)

2² = ( √ (n2 / 400))²

4 = n2 / 400

n2 = 4 x 400

n2 = 1600

In conclusion, the sample size needs to increase to 1, 600.

Find out more on sample size at https://brainly.com/question/2264071

#SPJ1

Answer:

The Angle-Side-Angle Theorem (ASA) states that if two angles and their included side are congruent to two angles and their included side to another triangle, then these two triangles are congruent.

Step-by-step explanation:

found this on varsitytutors.com

Answer:

it should be 40,000

Step-by-step explanation:

if you just multiply 20,5, and 2 together and multiply that answer by itself

Answer:

- 121 7/24

Step-by-step explanation:

Initial Position = 66 2/3 below sea level

Ascent = 24 1/8

Descent = 78 3/4

New position of submarine :

Since initial. Position is below sea level, we finite with a negative sign :

-66 2/3 = - 200 /3

Ascent is positive ; 24 1/8 = 193 / 8

-200 /3 + 193 / 8

(-1600 + 579) / 24

= - 1021 / 24

Descent = 78 3/4 (negative) downward

78 3/4 = - 315/ 4

-1021 / 24 - 315/4

(-1021 - 1890) / 24

= - 2911 / 24

= - 121 7/24

121 7/24 below sea level

Answer:

Unfortunately, you have not provided any information about the functions M and P, so I cannot determine which statement about their rates of change is true.

Please provide more context or details about the functions M and P so that I can assist you better.

Answer:

18c + 36

Step-by-step explanation:

Rearrange Terms:

9 (4 + 2c) =

9 (2c + 4) =

18c + 36

Hope this helps! :)

The formula yields the radius $r$ of a circle that is inscribed within three circles with radii $a$, $b$, and $c$ that are mutually external tangents.

\([\frac{1}{r} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c}]\)

The radius of the inscribed circle is related to the radii of the three mutually externally tangent circles using a method known as the radical centre formula. According to this equation, the reciprocals of the radii of the three externally tangent circles add up to the radius of the circle that is inscribed.

The power of point theorem states that the product of the distance between the point and the three points of tangency is equal to the product of the distance between the point and the centres of the circles. This formula is based on the fact that the circles are mutually externally tangent and their centres are collinear. It is crucial to note that the formula can only be used if the circles are mutually externally tangent; otherwise, it is invalid.

To learn more about circles: https://brainly.com/question/20489969

#SPJ4

Answer:  x  ≤ 4.5

Step-by-step explanation:

Since there is a closed circle on 4.5 and the ray is going left we know that x is ≤ 4.5

There are 3 mangoes left behind after making 39 trays of 9 mangoes each

To find out how many trays can be made from 354 mangoes, we divide the total number of mangoes by the number of mangoes per tray.

Number of mangoes per tray = 9

Number of trays = 354 mangoes / 9 mangoes per tray

Number of trays = 39 trays

So, 39 trays can be made from 354 mangoes.

To determine how many mangoes are left behind, we subtract the number of mangoes used for the trays from the total number of mangoes.

Number of mangoes left behind = Total number of mangoes - Number of mangoes used for trays

Number of mangoes left behind = 354 mangoes - (39 trays * 9 mangoes per tray)

Number of mangoes left behind = 354 mangoes - 351 mangoes

Number of mangoes left behind = 3 mangoes

Therefore, there are 3 mangoes left behind after making 39 trays of 9 mangoes each

Learn more about Mangoes here

https://brainly.com/question/29211275

#SPJ11

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation: