What is the value of X if X 35 :: 48 60?

The speed of the train moving through a tunnel 15.75 km for 0.015h is 291.67 m/s.

To find the speed of the train, we need to use the formula:
Speed = Distance / Time.
The distance traveled by the train is given as 15.75 km, and the time taken is given as 0.015 hours.

We need to convert the distance to meters and the time to seconds to get the answer in m/s.
Distance = 15.75 km = 15.75 x 1000 m = 15750 m
Time = 0.015 hours = 0.015 x 3600 s = 54 seconds.

Now, we can substitute these values in the formula:
Speed = 15750 m / 54 s = 291.67 m/s.

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The weight in kilogram of 34 is 74.96031948 pounds. Simply multiply the kilogram value by 2.2046226218 to get pounds.

Kilograms and pounds are two common units of mass. Kilograms (kg) are used in the metric system, while pounds are used in the imperial system. To convert one unit to the other, a conversion factor must be used. One kilogram is equal to 2.2046226218 pounds. To convert kilograms to pounds, simply multiply the number of kilograms by the conversion factor. For example, 34 kilograms is equal to 74.96031948 pounds. To convert pounds to kilograms, the conversion factor must be divided instead of multiplied. For example, 74.96031948 pounds is equal to 34 kilograms. It is important to note that the conversion factors for kilograms to pounds, and vice versa, are not always exact due to rounding. However, the conversion factor provided here is accurate to the seventh decimal place.

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The total length of two line segments is 80 cm

A line segment is just part of a line. It has two endpoints,

given that

the first line segment is 30cm

the second line segment is 500mm

now we need to convert it into cm from mm

To convert mm to cm, we need to multiply the length in mm by 0.1 cm since 1 mm is equal to 0.1 cm.

500 mm × 0.1 cm = 50cm

now we need to add two line segments

30 cm + 50 cm = 80 cm

The total length of two line segments is 80 cm

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Answer:

1 pound = 16 ounces

3 × 16 = 48 ounces

48 + 12 = 60

60 ÷ 6 ounces a week = 10 weeks

Answer:

3:5 & 12:20

Step-by-step explanation:

There are many more but there are 2 ratios that are equivalent. I got 3:5 by dividing 6 in half and 10 in half. And i got 12:20 bye multiplying 6 by 2 and 20 by 2. Hope this helps :3

3/5

since 6 divided by 2 is 3 and 10 divided by 2 is 5

Answer:

Find the asymptotes.

Set the argument of the logarithm equal to zero.

x+5=0 . Subtract 5

from both sides of the equation. x=−5

The vertical asymptote occurs at x=−5

Vertical Asymptote: x=−5

Find the point at x=−4

Replace the variable x with −4

in the expression.

f(−4)=log((−4)+5)

Simplify the result. Add −4 and 5

f(−4)=log(1) Logarithm base 10 of 1 is 0

f(−4)=0

The final answer is 0

Convert 0 to decimal. y=0

Find the point at x=5. Replace the variable x with 5

in the expression.

f(5)=log((5)+5)

Simplify the result. Convert 1 to decimal. y=1

Find the point at x=−3

Replace the variable x with −3

in the expression.

f(−3)=log((−3)+5)

Simplify the result.

log(2) . Convert log(2) to decimal. y=0.30102999

The log function can be graphed using the vertical asymptote at x=−5 and the points (−4,0),(5,1),(−3,0.30102999)

Vertical Asymptote: x=−5

 x     y

−4     0

−3    0.301

 5      1

Step-by-step explanation:

Converting the force from newtons to pounds can help us determine the chances of a driver being able to stop a child. The conversion factor is 1 pound (lb) = 4.45 newtons (N).

To convert the force from newtons to pounds, we use the conversion factor of 1 lb = 4.45 N. If we have a force in newtons, we can divide it by 4.45 to obtain the equivalent force in pounds. For example, if the force is 20 N, we divide it by 4.45 to get approximately 4.49 lb.

Now, in order to assess the chances of the driver stopping the child, we need to consider various factors such as the mass and speed of the child, the friction between the driver's shoes and the ground, and the force applied by the driver. If the force applied by the driver, converted to pounds, is greater than or equal to the force exerted by the child, there is a higher chance of stopping the child.

However, it's important to note that other factors, such as the driver's reaction time and the coefficient of friction between the shoes and the ground, also play significant roles in determining the outcome. Thus, the chances of the driver stopping the child depend on a combination of these factors, making it essential to consider them comprehensively when evaluating the situation.

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Answer:

1/11880 or 0.00008417508

Step-by-step explanation:

The probability of this can be determined by 1/12 x 1/11 x 1/10 x 1/9

We subtract one from the denominator each time because that ride has already been used, and cannot appear again in the list.

Answer: I cant see it

Step-by-step explanation:

Answer:

the answer is Amount of Calcium in one serving = 25% × 1000 milligrams.

That is, 250 mg of Calcium.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer: B

Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.

The company's revenue at the break-even point is:

Total Revenue = Price per Table x Number of Tables Sold Total Revenue = 166 x 50 = $8,300

1a. In order to earn revenue of $7,104, the number of tables that the company must sell is 216.

We can find the solution through the following steps:

Let x be the number of tables that the company must sell to earn the revenue of $7,104.

Total Revenue = Total Cost + Total Profit64x = 49x + 2700 + 710464x - 49x = 9814x = 216

1b. In order to earn a profit of $6,000, the number of tables that the company must produce and sell is 60.

We can find the solution through the following steps:

Let x be the number of tables that the company must produce and sell to earn a profit of $6,000.

Total Profit = Total Revenue - Total Cost6,000 = (182x - 32x) - 1500(182 - 32)x = 7,500x = 60

The company must produce and sell 60 tables to earn a profit of $6,000.

1c. To find the company's revenue at the break-even point, we need to first find the number of tables at the break-even point using the formula:

Total Revenue = Total Cost64x = 34x + 150064x - 34x = 150030x = 1500x = 50 tables

The company's revenue at the break-even point is:

Total Revenue = Price per Table x Number of Tables Sold Total Revenue = 166 x 50 = $8,300

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If y = 6 when x = -2, then y = 4 when x = - 3

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is y = 6 when x = -2.

Since the inverse variation exists -

y = k/x

xy = k

x₁y₁ = x₂y₂

-2 x 6 = - 3y₂

y₂ = 4

Therefore, if y = 6 when x = -2, then y = 4 when x = - 3

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The probability of choosing a blue marble, then a red marble is 0.222

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

Red = 3 marbles

Blue = 6 marbles

If the marbles were replaced, then we have

P(Blue) = 6/9

P(Red) = 3/9

So, we have

The probability of choosing a blue marble, then a red marble is

P = 6/9 * 3/9

Evaluate

P = 0.222

Hence, the probability of choosing a blue marble, then a red marble is 0.222

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Answer:

23x - 8

Step-by-step explanation:

The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.

Here, we have,

given that,

the expression is:

3(7x) – 2(4 - x)

now we have to simplify this expression.

so, we have,

3(7x) – 2(4 - x)

= 21x - 8 + 2x

adding the like terms we get,

=> 23x - 8

Hence, The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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The 18th term of the arithmetic sequence is 45.2, while the balance in an account with a $8,600 deposit and 12% annual interest after 5 years is $14,311.39. With a $6,284 deposit and 14% annual interest after 30 months, the account balance will be $7,463.17. Borrowing $1,709 at a 182% annual interest rate, the monthly payment for 16 months will be $202.06.

1. Arithmetic sequence: The formula to find the nth term of an arithmetic sequence is given by:

nth term = first term + (n - 1) * common difference

Here, the 4th term is given as 6 and the common difference is 2.9.   Plugging in these values, we can calculate the 18th term as follows:

18th term = 6 + (18 - 1) * 2.9 = 6 + 17 * 2.9 = 45.2

2. Compound interest: For the first scenario, where $8,600 is deposited into an account that pays 12% simple annual interest compounded monthly for 5 years, we can calculate the final balance using the formula for compound interest:

A = P * \((1 + r/n)^{(n*t) }\)

Here, P is the principal amount, r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values:

P = $8,600, r = 12% = 0.12, n = 12 (monthly compounding), t = 5

A = 8600 * \((1 + 0.12/12)^{(12*5)}\)= $14,311.39

3. Similarly, for the second scenario, where $6,284 is deposited into an account that pays 14% simple annual interest compounded monthly for 30 months:

P = $6,284, r = 14% = 0.14, n = 12 (monthly compounding), t = 30/12 = 2.5

A = 6284 * \((1 + 0.14/12)^{(12*2.5)}\) = $7,463.17

4. Monthly payment: To calculate the monthly payment amount for borrowing $1,709 from The Saver at a 182% simple annual interest rate, we can divide the total amount by the number of payments. The formula for calculating the monthly payment for a loan is:

Monthly payment = Total amount / Number of payments

Here, the total amount is $1,709 and the number of payments is 16. Plugging in the values:

Monthly payment = 1709 / 16 = $202.06

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Answer:

answer  in picture

Step-by-step explanation:

To determine if the difference in height between the two trees is sufficient to meet the slope constraint, we need to calculate the slope of the zip line.

First, we need to calculate the horizontal distance between the two trees. If the trees are 130 feet apart and each tree is about 40 feet tall, then the horizontal distance between the tops of the trees is:

130 feet - 2(40 feet) = 50 feet

Next, we need to calculate the vertical distance between the two endpoints of the zip line. If Chantal wants to start the zip line 25 feet high in one tree and end it 10 feet high in the other tree, then the vertical distance between the two endpoints is:

25 feet - 10 feet = 15 feet

Therefore, the slope of the zip line is:

slope = rise/run = 15 feet/50 feet = 0.3

According to industry standards, the maximum slope for a zip line is typically around 0.5, although this can vary depending on the specific design and location. Since the slope of Chantal's zip line is only 0.3, it meets the slope constraint and is safe to use.

The result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

To subtract the expression 7x - 9 from 2x² - 11, we need to distribute the negative sign to every term within the expression 7x - 9, and then combine like terms.

First, let's distribute the negative sign:

2x² - 11 - (7x - 9)

Now, distribute the negative sign to each term within the parentheses:

2x² - 11 - 7x + 9

Next, let's combine like terms:

2x² - 7x - 2

Therefore, the result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

In this expression, the highest power of x is 2, which means it is a quadratic expression. The coefficient of x² is 2, and the coefficient of x is -7. The constant term is -2.

This quadratic expression can be further simplified or factored if needed, but the subtraction process is complete with the result 2x² - 7x - 2.

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Answer:

3x + 9

Step-by-step explanation:

for the y's, you increase by 3

for the b, it's the y-intercept

*y = mx + b

Based on the average life of the light bulb, and the standard deviation of 50 hours, the probability that a randomly chosen light bulb won't last longer than 300 hours is 0.003%

The light bulb is not expected to last longer than 300 hours so the x score would be:
= P (Z > ((500 - 300) / 50))

= P (Z > (200 / 50))

= P ( Z > 4)

P = 0.0003

= 0.003%

In conclusion, the probability of a randomly chosen light bulb not lasting longer than 300 hours is 0.003%.

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Option B is correct. 0.39 goldfish per cubic feet is the density of the tank given that there are 22 goldfishes and volume of the tank is 56 cubic feet. This can be obtained by using the formula of density.

Given that there are 22 goldfishes,

mass of tank = 22 goldfishes

volume of tank = 56 cubic feet

                      = 22/56

                      = 0.39 goldfish per cubic feet

Hence 0.39 goldfish per cubic feet is the density of the tank given that there are 22 goldfishes and volume of the tank is 56 cubic feet.

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Answer: 0.39 goldfish

Step-by-step explanation:

Answer:

110.94

Step-by-step explanation:

Surface area is the area of each side of the shape added together. So in this situation, it would be the area of a side, multiplied by 6, because a square has six sides.

To find the area, it's length x width. You're given the length and width, which both are 4.3 mm.

4.3 x 4.3 = 18.49

With this new number, you're gonna multiply it by 6. And the total will be 110.94 mm. :)

Answer:

31

Step-by-step explanation:

31 x 2 = 62

62 + 13 = 75

n = 31

The answer is 50 grams of salt in the tank at all times.

To find the number of grams of salt in the tank at time t, we need to use the formula:

a(t) = a(0) + (r - p) * t

where a(0) is the initial amount of salt in the tank, r is the rate at which brine is being pumped into the tank, p is the rate at which the solution is being pumped out of the tank, and t is the time elapsed.

In this case, a(0) = 50 grams, r = 3 grams per minute (since the brine contains 1 gram of salt per liter and 3 liters are being pumped in per minute, so 3 grams of salt are being added per minute), and p = 3 grams per minute (since the solution is being pumped out at the same rate as it is being pumped in). Therefore, we can simplify the formula to:

a(t) = 50 + 0 * t
a(t) = 50 grams

This means that the amount of salt in the tank remains constant over time, since the rate at which it is being pumped in and out is equal. Therefore, the answer is 50 grams of salt in the tank at all times.

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Answer:

Angle 6, Angle 8, Angle 2, and Angle 4 are supplementary to Angle 7.

I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!

Supplementary angles are the angle whose sum is 180° thus the angles which are supplementary to angle 7 are 8 and 6.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

The supplementary angle is two angles whose sum is 180°.

It is known that the sum of two angles on a straight line is 180°.

The angles 7 and 8 are on a straight line thus 7 + 8 = 180°.

So, they will be supplementary angles.

Angles 7 and 6 are in a straight line.

Thus, 7 + 6 = 180°.

Hence "Supplementary angles are the angle whose sum is 180° thus the angles which are supplementary to angle 7 are 8 and 6".

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Answer:

lukfjxcgbvn

Step-by-step explanation:

❤️❤️❤️

\( \huge\boxed{ \mathcal{\longmapsto Answer࿐}}\)

we know,

\( \boxed{volume = l \times w \times h}\)

\(\longmapsto1376 = 18 \times 10 \times h\)

\(\longmapsto h = \dfrac{1376}{180} \)

\(\longmapsto h = 7.64 \: \: inches\)

A cross product is a binary operation on two vectors in three dimensions.

This is how the cross product can be calculated:

OR, we may figure it out in the following manner:

cx = aybz azby

cy = azbx axbz cz = axby aybx

Example: A and B's cross product is 2 + 3 + 4 = (5,6,7)

cx = aybz azby = 37 46 = 3

CY = AZBX AZBZ = 45 27 = 6

CZ = AXBY, AYBX = 26, 35, and 3

A + B = (3,6,3) is the solution.

Complete Question is Cross product.

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