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britney has already run 10 miles on her own, and she expects to run 3 miles during each track practice. how many track practices would it take for britney to run 40 miles

The given differential equation is `f''x = 5/x^2`.We need to find the particular solution of the differential equation that satisfies the initial condition `f'(1)=3`.

The given differential equation can be written as `f''x = d/dx(dx/dt) = d/dt(5/x^2) = -10/x^3`.Thus, `f''x = -10/x^3`.Let us integrate the above equation to get `f'(x) = 10/x^2 + C1`.Here `C1` is the constant of integration.Let us again integrate the above equation to get `f(x) = -5/x + C1x + C2`.Here `C2` is the constant of integration.As `f'(1)=3`, we have `C1 = 5 - 3 = 2`.Thus, `f(x) = -5/x + 2x + C2`.Now, we need to use the initial condition to find the value of `C2`.As `f'(1)=3`, we have `f'(x) = 5/x^2 + 2` and `f'(1) = 5 + 2 = 7`.Thus, `C2` is given by `C2 = f(1) + 5 - 2 = f(1) + 3`.Therefore, the particular solution of the differential equation that satisfies the initial condition is given by `f(x) = -5/x + 2x + f(1) + 3`.Given differential equation `f''x = 5/x^2`We need to find the particular solution of the differential equation that satisfies the initial condition `f'(1) = 3` by solving the differential equation using integration.So, we have `f''x = d/dx(dx/dt) = d/dt(5/x^2) = -10/x^3`.Thus, `f''x = -10/x^3`.Integrating the above equation, we get `f'(x) = 10/x^2 + C1`, where `C1` is the constant of integration.Integrating the above equation again, we get `f(x) = -5/x + C1x + C2`, where `C2` is the constant of integration.Using the initial condition `f'(1) = 3`, we get `C1 = 5 - 3 = 2`.Substituting `C1` in the above equation, we get `f(x) = -5/x + 2x + C2`.Now, we need to use the initial condition to find the value of `C2`.So, `f'(x) = 5/x^2 + 2` and `f'(1) = 5 + 2 = 7`.Thus, `C2` is given by `C2 = f(1) + 5 - 2 = f(1) + 3`.Therefore, the particular solution of the differential equation that satisfies the initial condition is given by `f(x) = -5/x + 2x + f(1) + 3`.The particular solution of the given differential equation `f''x = 5/x^2` that satisfies the initial condition `f'(1) = 3` is `f(x) = -5/x + 2x + f(1) + 3`.

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The symbols d and sd represent:

The differences in the mean of the paired data entries in the dependent samples.

What is the standard deviation?

A measure of a set of values' variance or dispersion is called the standard deviation.

Here,

d: the difference between paired data in the dependent samples.

sd:  standard deviation.

The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.

Hence, the differences in the mean of the paired data entries in the dependent samples.

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Answer:

x = 10

Step-by-step explanation:

Because the triangles are similar, the following equations must be solved in order to find out how much bigger or smaller the triangle is.

10 * y = 15

16 * y = 24

You'll find that

y = 1.5

Then, you are able to insert y into the following equation and solve for x

(x - 4) * y = 9

(x - 4) * 1.5 = 9

1.5x - 6 = 9

1.5x = 15

x = 10

We can plug x back into the previous equation in order to check if it is correct

(x - 4) * 1.5 = 9

(10 - 4) * 1.5 = 9

6 * 1.5 = 9

9 = 9

Answer:-6.1-(-3.13

Step-by-step explanation:

After you change the two negatives in the middle to a positive, the equation would simplify to -6.1+3.13.

-27.375

Hope this helps.

The system of equations that represent the situation are 1.20R + 2B = 70, and R + B = 90.

The system of equations are sets of equations that have to be solved simultaneously in order to determine their required values. They are often referred to as simultaneous equations.

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Answer:

5.5 hours

Step-by-step explanation:

347.50 - 100 = 247.50

247.50 ÷ 45 = 5.5

Answer:

5.5 hours

Step-by-step explanation:

if the one-time charge was 100 then subtract 100 from 347.50 and you would get 247.50 then divide that by 45 and you get 5.5.

Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.

The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square

The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.

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Answer:

a = 20

b = 10

Or if in coordinate format, (20,10)

Step-by-step explanation:

\(\left \{ {{4a-3b=50} \atop {5a-2b=80}} \right.\)

Solve the system using elimination:

In elimination, you want to eliminate a term. I want to eliminate b, so what I would do is to get it the same coefficient (LCM)

Now, plug in 20 for an into any of the original equations

The solution of the system is written as a coordinate, in alphabetical order. Since the variables are a and b, you write it as (a,b).

The solution is \(\boxed{(20,10)}\)

-Chetan K

Answer:

he is incorrect

Step-by-step explanation:

He is incorrect because 10 times 3 is 30, plus-minus 2 which is 30. So instead of 34, it is 30. or you can say Anthony is wrong. Following the order of operations, you would do the 10*3 first. Then, you would take the 30, and finish the equation from left to right. So you would add 2 to make it 32 and then subtract 2 to make it 30 again. So your final answer is 30, not 34. So Anthony is wrong.

The equation of the tangent line to the graph of y = arcsec(18x) at the point (2, 18) is y = (√3 / 6)x + (18 - √3 / 3).

To find the equation of the tangent line to the graph of the function y = arcsec(18x) at the point (2, 18), we need to determine the slope of the tangent line at that point.

The derivative of the arcsec(x) function is given by:

d/dx [arcsec(x)] = 1 / (|x| * sqrt(x^2 - 1))

Using this derivative, we can find the slope of the tangent line at x = 2:

m = 1 / (|2| * sqrt(2^2 - 1))

= 1 / (2 * sqrt(3))

= 1 / (2 * √3)

= √3 / 6

Now that we have the slope (m) and the point (2, 18), we can use the point-slope form of a linear equation to find the equation of the tangent line:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point (2, 18) and m is the slope (√3 / 6).

Plugging in the values:

y - 18 = (√3 / 6)(x - 2)

Simplifying further:

y - 18 = (√3 / 6)x - (√3 / 6)(2)

y - 18 = (√3 / 6)x - √3 / 3

Finally, rearranging the equation to the standard form:

y = (√3 / 6)x + (18 - √3 / 3)

So, the equation of the tangent line to the graph of y = arcsec(18x) at the point (2, 18) is y = (√3 / 6)x + (18 - √3 / 3).

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Answer:

1 foot = 12 inches

Step-by-step explanation:

l will spend $58.40 on gas.

What is Multiplication?

Multiplication is an arithmetic operation that involves combining two or more numbers to produce a third number called the product. The symbol for multiplication is "×" or "*".

For example, if you have 3 apples and want to know how many apples you would have if you tripled the amount, you can multiply 3 by 3 to get the answer: 3 × 3 = 9. So, if you tripled the amount of apples you had, you would have 9 apples in total.

Multiplication can be thought of as repeated addition. For instance, 3 × 4 is the same as 3 + 3 + 3 + 3, which equals 12. In this example, 3 is added to itself four times.

Here given, a car holds 50 litres of gas and the price is 116.8 ($1.168) per litre.

We want to calculate the total cost of the gas.

We can find it by multiplying the number of litres by the price per litre

Total cost = \(50 \times 1.168\)

Total cost = $58.40

Therefore, l will spend $58.40 on gas.

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Correct question is "Your car holds 50 litres

of gas. If the price is 116.8 ($1.168) per litre then how much money will you spend on gas?"

Answer:

True

Step-by-step explanation:

Brainliest?

Answer:

I Believe the answer is True

Step-by-step explanation:

Answer:

sale price is $54.40

Step-by-step explanation:

original Price - discount = sale Price

80 - 80(0.32) = $54.40

Answer: $54.40

Step-by-step explanation:

Answer:

-17x+10y=3

Step-by-step explanation:

Standard form is:

Ax+By=C

Let's start by simplifying the equation:

4y-5x=3(4x-2y+1)

Distribute the 3:

4y-5x=3(4x)+3(-2y)+3(1)

4y-5x=12x-6y+3

Subtract 12x from both sides

4y-17x=-6y+3

Add 6y to both sides

10y-17x=3

-17x+10y=3

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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4

2x +2x +1 =13 + x

4x - x = 13 - 1

3x = 12

x=12/3

x=4

Checking, 2*4+2*4+1 =17

13+4=17

Answer:

Step-by-step explanation:

2x + 2x + 1 = 13 + x

To find the value of x, isolate 'x'

Step1: Subtract x from both sides

2x + 2x - x + 1 = 13

Step 2: Subtract 1 from both sides

2x + 2x - x  = 13 - 1

Step3: Combine like terms

       3x   = 12

Step 3: Divide both sides by 3

          x = 12/3

x = 4

The critical z value for a left-tailed test with α = 0.01 is -2.33.

To find the critical z value for a left-tailed test with α = 0.01, we need to look up the corresponding z-score in the standard normal distribution table.

Since the null hypothesis is H0: µ = µ0, we need to find the z-score that corresponds to the area to the left of the critical value, which is 0.01.

From the standard normal distribution table, we can see that the z-score corresponding to an area of 0.01 to the left is -2.33.

Therefore, the critical z value for a left-tailed test with α = 0.01 is -2.33.

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The cost of 12 tickets is $180.

Given that, three concert tickets cost $45.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, the cost of one ticket

= 45/3

= $15

So, the cost of 12 tickets = 12×15

= $180

Therefore, the cost of 12 tickets is $180.

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The measure of the arc CE would be -

m. arc{CE} = 141°

The distance formula is given by -

(d)² = (x₂ - x₁)² + (y₂ - y₁)²

Given are the coordinate points as -

(- 3,1) & (1,- 1)

The given coordinate points are -

(d)² = (- 1 - 1)² + (1 + 3)²

(d)² = (-2)² + (4)²

(d)² = 4 + 16

(d)² = 20

d = √20

Therefore, the distance AB is equivalent to √20 units.

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The area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3

The curve is given as:

y = √(x + 3)

The area bounded by the curve, x-axis and y-axis is when x = 0 and y = 0

When y = 0, we have:

0 = √(x + 3)

This gives

x = -3

So, we set up the following integral

A = ∫ f(x) d(x) (Interval a to b)

This gives

A = ∫ √(x + 3) d(x) (Interval -3 to 0)

When the above is integrated, we have:

A = 1/3 * [2(x + 3)^(3/2)] (Interval -3 to 0)

Expand

A = 1/3 * [2(0 + 3)^3/2 - 2(-3 + 3)^3/2]

This gives

A = 1/3 * 2(3)^3/2

Apply the law of indices

A = 2(3)^1/2

Rewrite as:

A = 2√3 or 3.46

Hence, the area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3

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The positive linear correlation is present in the scatter plot option first “positive” is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\)

\(\rm c = \dfrac{\sum y -m \sum x}{n}\)

We have given a scatter plot in the picture.

As we can see in the scatter plot the dots are not so close that the correlation between x and y will be weak.

If we draw a line of best fit the slope of the line will be positive, the correlation will be positive.

Thus, the positive linear correlation is present in the scatter plot option first “positive” is correct.

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Answer:

Dale put 6.21 grams of salt into the soup in all

Step-by-step explanation:

Arithmetic

There are situations where different mathematic operations must be done in order to find the required results. Four operations are known as basics in arithmetic: addition, subtraction, multiplication, and division.

The question describes how Dale added 5.0 grams of salt into a pot of soup and then he added 0.31 grams of salt more. This means the total amount of salt added by Dale into the soup is the sum of both quantities:

Total salt added = 5.9 grams + 0.31 grams = 6.21 grams.

Dale put 6.21 grams of salt into the soup in all

If the perimeter is 16' the sum of the length and width must be 8'. Assuming that area is non 0 possible dimensions are:

1x7 2x6 3x5 4x4 5x3 6x2 7x1

The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.

We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.

We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.

Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.

Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.

Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.

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Answer:

The second diagram on the first page

Step-by-step explanation:

Every other diagram is a multiplication, for example in the first picture its multiplied by 3 on the top and bottom and then on the sides its both by 4. But in diagram 2 its most likely to be an addition, which dose not work in the ones that were already shown.

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.

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The scale of the model is 1 inch : 30 feet (option d).

To determine the scale of the model, we need to compare the height of the model to the actual height of the building. Given that the height of the model is 3 inches and the height of the building is 90 feet, we can set up a ratio to find the scale.

Let's denote the scale as "1 inch : X feet". Setting up the ratio, we have:

1 inch / X feet = 3 inches / 90 feet.

To solve for X, we can cross-multiply:

3 inches * X feet = 1 inch * 90 feet.

Simplifying the equation:

3X = 90.

Dividing both sides by 3, we find:

X = 30.

Therefore, the scale of the model is 1 inch : 30 feet (option d). This means that each inch on the model represents 30 feet in the actual building. So, for every 1 inch of the model's height, the real building's height corresponds to 30 feet.

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