Different fuels produce different amounts of heat energy when burned. For example propane has a heat energy of 2,470 btu/ft^3 how much energy can propane tank with a volume of 43. 7 ft^3 produce

Answer:

5.8ms^2

Step-by-step explanation:

The rate of acceleration of Trent train is 5.8 m/s².

The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.

Given:

Initial velocity, u = 10 m/s

Final Velocity, v = 39 m/s

Time = 4 seconds

So, Acceleration = (v - u) / t

a = ( 39- 10)/5

a = 29/5

a = 5.8 m/s²

Hence, the acceleration is 5.8 m/s².

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Answer:

\(|x-8|=6\)

Step-by-step explanation:

Let's begin by finding the midpoint of 2 and 14. To do this, we'll add the numbers and then divide by 2.

2+14=16

16/2=8

The number that is the same distance between 2 and 14 is 8.

Now, let's find how far away each number is from 8.

8-2=6

14-8=6

2 and 14 are 6 away from 8.

Let's set up the absolute value equation using these two values.

Since 8 is the midpoint, this will be what the absolute value expression is equal to.

Since each number is 6 away from 8, this is the number (6) we will be taking away from 2 and 14.

Remember that absolute value is just distance.

In other words, 2 is 6 away from 8, and 14 is also 6 away from 8.

Or, the distance between a number x and 8 is 6.

Using this knowledge, we have:

\(|x-8|=6\)

Answer:

|x-8|=6

Step-by-step explanation:

i checked rsm its correct :3

Answer:

Step-by-step explanation:

Change fractions to have the same denominator or change them all to a decimal.  Then add.

Decimal method:

1 and 15/100 is equal to 1.15

1/50 is equal to 0.02

The final term is already a decimal

Add.  1.15 + 0.02 + 1.175 = 2.345

We have that, to develop a program that finds prime numbers and one that will be a file, it is necessary to use pseudocode, using cycles and files with lists

a. To write a program that finds all prime numbers up to 10,000,000, the following steps can be followed:

1. Set up a loop to iterate through all the numbers from 2 to 10,000,000.

2. Check if the number is prime by dividing it by all the previous numbers.

3. If the number is not divisible by any previous number, it is a prime number.

4. Add the prime number to a list of prime numbers.

5. Repeat the cycle until all prime numbers up to 10,000,000 have been found.

b. To implement a method that opens the PrimeNumbers.dat file and does the following, the following steps can be followed:

1. Create a method that opens the PrimeNumbers.dat file.

2. Use a loop to go through all the lines of the file.

3. For each line, parse the content into a string.

4. Check if the string is a prime number divided by all previous numbers.

5. If the number is not divisible by any previous number, it is a prime number.

6. Add the prime number to a list of prime numbers.

7. Repeat the loop until all the prime numbers in the file have been found.

8. Returns the list of prime numbers.

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For the first graph

A = (-5, 2)

B = (5, -4)

To calculate the slope we will use the following formula

The answer would be m = -3/5

For the second graph

A = (-1, -1)

B = (3, 0)

To calculate the slope we will use the following formula

The answer would be m = 1/4

For the third graph

In the third graph, we have a vertical slope at point x = 2

In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2

Answer:

Step-by-step explanation:

6\(\sqrt{5\\\)

\(\sqrt{5*36}\)

\(\sqrt{180}\)

If you think about it logically, how can you take 6 out? So there was a number 36 under the root, and because of that there is a possibility to take it out, because 6 squared is 36

Answer is 35cm hope it will help you .

EXPLAINATION: π.r² = 3850 cm²  

⇒ r² = 3850/π = 3850/3,14 ≈ 1225.5

⇒ r = √ 1225.5 ≈ 35 cm

P/s: π ≈ 3.14

ANSWER: r = 35 cm

Ok done. Thank to me :>

Answer:

2240

Step-by-step explanation:

plz fo"ow ms

mark me as brainlist

Answer:

3/10 or 0.3

Step-by-step explanation:

Answer:

wouldnt it be. 4 × x+7

Step-by-step explanation:

because x and 7 equal the whole top and 4 is the side

Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

\(\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}\)

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

\(\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}\)

Now, we can find the area of the triangle. We can use an alternative formula:

\(\displaystyle A=\frac{1}{2}ab\sin(C)\)

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

\(\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)\)

The area of the shaded region is equivalent to the sector minus the triangle:

\(A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}\)

Therefore:

\(A_{\text{shaded}}=15\pi -18\sin(150)\)

Use a calculator:

\(A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2\)

The area of the shaded region is about 38.1 square centimeters.

Answer: A

Step-by-step explanation:

For II,  when the numerator is expanded, it contains terms of ab and a^2 which makes it a quadratic function, not an algebraic function.

For III, tricky one. The a can be cancelled out in the numerator and denominator and the resulting fraction is (b-3)/3. However, this can be further simplified to 1/3b - 1, which makes it not an algebraic fraction anymore.

Answer:

Area= 24ft squared

Step-by-step explanation:

Area= 1/2 Bh

A= 1/2 9(6)

A= 1/2 48

A= 24ft

Answer:

1. Multiply the slope by 2 and look at the numerator

2. 5/7

3. slide A

4. The run of slide a is shorter which means that its steeper because the rise is the same

5. 10

6. 5 units?

Step-by-step explanation:

#1

We know

slope=tanØ

Here in slide B

But

Then

#2

The slope of slide A

#3 and 4

Compare tangents

Slide A is steeper

#5

Found in #1

#6

Slide A is higher as 15>10

Trigonometric Functions -

\( \cos = \frac{adjacent}{hypotenuse} \)

Find the opposite side, first of all.

Pythagorean Theorem -

\(a^{2} + b^{2} = c^{2} \)

Input the hypotenuse and opposite sides to find b^2.

\(49 + {b}^{2} = 64\)

Minus 49 from equations to get b^2 by itself.

\( {b}^{2} = 15\)

Square root b^2 and 15 to get b by itself.

\(b = \sqrt{15} \)

Now we can get to the trigonometry functioms!

\( \frac{ \sqrt{15} }{8} \)

Divide them up, then find the percentage!

48% or...

\( \frac{ \sqrt{15} }{8} \)

The area under the standard normal distribution curve between z = 0 and z = 0.98 is:

                         0.8365 - 0.5000 = 0.3365

To find the area under the standard normal distribution curve between z = 0 and z = 0.98, we can use a standard normal distribution table or a calculator that can compute normal probabilities.

Using a standard normal distribution table, we can look up the area corresponding to a z-score of 0 and a z-score of 0.98 separately and then subtract the two areas to find the area between them.

The area under the standard normal distribution curve to the left of z = 0 is 0.5000 (by definition). The area under the curve to the left of z = 0.98 is 0.8365 (from the standard normal distribution table).

So the area under the standard normal distribution curve between z=0 and z=0.98 is approximately 0.3365.

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To be in the 90th percentile of birth weights, a baby would need to weigh approximately 8.976 lbs at birth.

The 90th percentile corresponds to the value below which 90% of the data falls.

In this case, we have a normal distribution with a known mean and standard deviation of birth weights. To find the weight at the 90th percentile, we can use the properties of the standard normal distribution.

First, we convert the percentile to a Z-score using a Z-table or calculator. For the 90th percentile, the Z-score is approximately 1.28.

Next, we can use the Z-score formula to calculate the corresponding weight:
Z = (x - mean) / standard deviation

By rearranging the formula and substituting the values:
1.28 = (x - 6.8) / 1.7

Solving for x, the weight at the 90th percentile, we have:
1.28 * 1.7 = x - 6.8
2.176 = x - 6.8
x = 2.176 + 6.8
x ≈ 8.976 lbs

Therefore, a baby would need to weigh approximately 8.976 lbs at birth to be considered in the 90th percentile of birth weights.

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The quadratic function will be f(x) = 2\(x^{2}\) + 4x + 15

General equation of quadratic is

f(x) = a\(x^{2}\) + bx + c

and Standard form is

f(x) =a \((x-h)^{2}\) + k

where h , k are coordinates of vertex

and x , y represent some point on the graph.

By replacing f(x) with y in standard equation we get

y = a\((x-h)^{2}\) + k

Put value of x , y , h , k from the graph.

h = -2

k = 7

x = 0

y = 9

9 = a (4) + 7

a = 2

Now put value of a in standard equation

f(x) = 2 \((x + 2)^{2}\) + 7

f(x) = 2\(x^{2}\) + 4x + 15

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Answer:

Hello,

Step-by-step explanation:

16)

Area of the square= 5²=25 (unit of square)

17)

Volume of the cube =3^3 =27 (unit of volume)

18)

side of the cube =5 (unit of lenght)

Volume of the cube = (5 (unit of lenght)) ^3

=125 * (unit of lenght)^3 =125 (unit of volume)

Answer:

The answer is the 2nd bullet point (B)

The resulting expression on factorization by grouping method is (3-7x²)(x-3).

Factorization is a method in which an Integer or an expression is written in terms of product of its fractions.

The expression given in the question is

–7x³ + 21x² + 3x – 9

This equation has to be factorized using grouping method.

group of two or more is formed and common term is taken out.

-7x² (x -3) +3(x-3)

( -7x²+3) (x-3)

(3-7x²)(x-3)

The resulting expression on factorization by grouping method is

(3-7x²)(x-3).

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The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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Answer: true

Step-by-step explanation:

The good Samaritan law allows you to help people and not be liable for trying to do so.

Answer:

√(300×3)=√900=√30²=±30 is your answer

The probability of the P(F or G) is 0.667.

A probability experiment is conducted in which the sample space of the experiment is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F={5, 6, 7, 8, 9}​, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely.

To list the outcomes in F or G, we need to combine both events F and G and eliminate any duplicates.

So, the outcomes in F or G are:

F or G = {5, 6, 7, 8, 9, 10, 11, 12}

Hence, A. F or G = { 5, 6, 7, 8, 9, 10, 11, 12}

Next, to find P(F or G) by counting the number of outcomes in F or G, we can use the formula:

P(F or G) = n(F or G) / n(S)

where, n(F or G) is the number of outcomes in F or G and n(S) is the number of outcomes in the sample space.

So, n(F or G) = 8 and n(S) = 12

Hence, P(F or G) = n(F or G) / n(S) = 8/12 = 0.667 (rounded to three decimal places)

Therefore, B. P(F or G) = 0.667

Finally, to determine P(F or G) using the general addition rule, we can use the formula:

P(F or G) = P(F) + P(G) - P(F and G)

where, P(F) and P(G) are the probabilities of events F and G, and P(F and G) is the probability of the intersection of events F and G.

To find P(F and G), we can use the formula:

P(F and G) = n(F and G) / n(S)

where, n(F and G) is the number of outcomes in both F and G.

So, n(F and G) = 1

Hence, P(F and G) = n(F and G) / n(S) = 1/12

Therefore, A. P(F or G) = (5/12) + (4/12) - (1/12) = 8/12 = 0.667 (rounded to three decimal places)

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Answer:

a

Step-by-step explanation:

i did  this in middle shoool

hehe

Given:

The speed of driver is 99 miles/hour.

The objective is to find the speed in kilometers/hour and kilometers/minute.

Explanation:

Conversion of miles/hour to kilometers/hour:

Since it is given that 1 mile = 1.61 kilometers.

Conversion of kilometers/hour to kilometers/minute:

Since, it is given that 1 hour = 60 minutes.

Hence, speed is equivalent to 159.4 kilometers/hour or 2.7 kilometers/minute.

he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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The proof that tan(x) sin(x) + cos(x) = sec(x) is represented by the trigonometric equation sec(x) = sec(x)

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

tan(x) sin(x) + cos(x) = sec(x)

Express tan(x) as sin(x)/cos(x)

So, we have the following representation

sin(x)/cos(x) * sin(x) + cos(x) = sec(x)

Evaluate the products

So, we have the following representation

sin²(x)/cos(x)  + cos(x) = sec(x)

Take the LCM

[sin²(x) + cos²(x)]/cos(x) = sec(x)

Express sin²(x) + cos²(x) as 1

So, we have

1/cos(x) = sec(x)

Evaluate

sec(x) = sec(x)

Hence, the equation has been proved

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