Solve the equation 6(7-9w)-4w

Answer:

To find output add 1.5 to every input number. Hopefully this helps

Step-by-step explanation:

no just do the stuff in the parentheses then multiply by 5

Simplify the equation x^2 - 8x + 16 = 0 to obtain the value of x.

Equation has one solution, x = 4.

Simplify the equation x ( x - 1 ) = 8 to obtain the value of x.

This is a quadratic equation which is not a perfect square so it has two solutions.

Simplify the equation x^2 = 16 to obtain the value of x.

Thes equation has two solution x = 4 and x = -4.

So equation x^2 - 8x + 16 = 0 has only one solution and remaining equation has two solutions.

Answer:

C = 12.56m

Step-by-step explanation:

circumference is the distance around the outside of a circle. The r stands for radius, half way across, from the center(thats the little line on the diagram) "d" stands for diameter. That would be double the radius, bc its all the way across the circle through the center. The formula to find the CIRCUMFERENCE is given, C=pi × d

They told you to use 3.14 for pi. And also the radius is 2, so the diameter is 4

C = pi × d

C = 3.14 × 4

C = 12.56 meters

Answer:

You should turn 225 degrees anti-clockwise to face North.

Answer:

6 gallons per minute

Step-by-step explanation:

42÷7= 6

Answer:

6 gallons per minute

Step-by-step explanation:

42/7=6

The average speed formula is given by:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\)

Let's calculate the total distance first. The car travels 120 miles from point A to point B, and then returns the same distance. Therefore, the total distance is \(\displaystyle\sf 2 \times 120 = 240\) miles.

Now, let's calculate the total time. The time taken to travel from A to B can be calculated using the formula \(\displaystyle\sf \text{Time} = \frac{\text{Distance}}{\text{Speed}}\).

For the journey from A to B:

\(\displaystyle\sf \text{Time}_1 = \frac{120}{30} = 4\) hours

For the return journey from B to A:

\(\displaystyle\sf \text{Time}_2 = \frac{120}{40} = 3\) hours

The total time for the round trip is the sum of the individual times:

\(\displaystyle\sf \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 4 + 3 = 7\) hours

Now, we can calculate the average speed:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{240}{7} \approx 34.29\) miles per hour.

Therefore, the average speed for the round trip is closest to 34.29 miles per hour.

furthering dendritic untiring s very crushed iridium rushes Rivendell ft Zarathustra

Answer:

  True

Step-by-step explanation:

You want to know if it is true or false that "two angles add up to 180° if and only if they are supplementary."

Two supplementary angles have a sum of 180°. That is the definition of supplementary angles. The offered statement is True.

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Answer:

12.60

Step-by-step explanation:

To find the tip, take the amount of the bill and multiply by 30%

42 * 30%

Change to decimal form

42 * .30

12.6

Answer:

12.6%

Step-by-step explanation:

12.6% is 30 percent of the bill

Answer: the answer  is D i just did that

Step-by-step explanation:

Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:

a)168.725

b)168.735

168.725≤x<168.735

Step-by-step explanation:

a)168.73 - 0.005

168.725

b) 168.73 + 0.005

168.735

Answer:  \(\boldsymbol{a_n = 6n - 4}\)

========================================================

Explanation:

\(a_1 = 2 = \text{first term}\)

\(d = 6 = \text{common difference}\)

The common difference is 6 because we add 6 to each term to get the next term.

Or you can subtract adjacent terms to determine the common difference.

Be sure to keep the order of subtraction consistent. Always subtract off the previous term. Note that the sequence is increasing, so the value of d must be positive.

We'll use the values \(a_1 = 2 \text{ and } d = 6\) to determine the nth term formula of this arithmetic sequence.

\(a_n = a_1 + d(n-1)\\\\a_n = 2 + 6(n-1)\\\\a_n = 2 + 6n-6\\\\\boldsymbol{a_n = 6n - 4}\)

which is the final answer.

Then as partial verification, we can plug in positive integers for n to get corresponding terms.

For instance, plug in n = 3 to find that:

\(a_n = 6n - 4\\\\a_3 = 6*3 - 4\\\\a_3 = 18 - 4\\\\a_3 = 14\)

Telling us that the 3rd term is 14, which matches what the instructions mentioned. I'll let you confirm the other terms.

Answer:

1/2 is 1 example

Step-by-step explanation:

what

A fraction that is less than 5/8 is 4/8

The fraction is given as:

Fraction = 5/8

A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8

Take for instance, the numerator can be

1 to 4

So, we have;

Smaller fraction = 4/8

Hence, a fraction that is less than 5/8 is 4/8

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Answer:im confused

Step-by-step explanation:

Random condition:

✔ met

10% condition:

✔ not met

Large counts condition:

✔ not met

Are the conditions for inference met?

✔ no

The area of the given composite figure with a side length of 14mm and an edge length of 8mm is 158.2 mm².

What is a composite figure?

A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. A variety of forms that we encounter every day are composite figures that can be created from two or more fundamental figures.

The figure is given below.

From the figure, we can see that the sides of a triangle at the top and bottom are the same.

So the triangle cut from the bottom is placed at the top of the figure.

When the cut triangle is placed back at the bottom, we get a rectangle of length 14 mm and breadth 11.3 mm, as given below.

So the area of the given composite figure is the same as the area of the rectangle.

The area of the rectangle = length * breadth = 14 * 11.3 = 158.2 mm²

Therefore the area of the given composite figure is 158.2 mm².

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Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

x²

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

Answer:

Percent rate of change per unit, t ≈ 10.99%

Step-by-step explanation:

The percent rate of change per unit, t, for a function is equal to the derivative of the function with respect to t, divided by the function value at t.

For the given function g(t) = 200(1.12)^t, the derivative with respect to t is:

g'(t) = ln(1.12) * 200(1.12)^t

The function value at t is:

g(t) = 200(1.12)^t

Therefore, the percent rate of change per unit, t, is:

g'(t) / g(t) = [ln(1.12) * 200(1.12)^t] / [200(1.12)^t] = ln(1.12) ≈ 0.1099

Multiplying by 100 to express the answer as a percentage, rounded to the nearest tenth of a percent, we get:

Percent rate of change per unit, t ≈ 10.99%

Answer:

n = 14

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle equals the sum of the measures of the two remote interior angles.

12n - 8 = 8n - 4 + 52

4n = 56

n = 14

Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

Given Integral is:

\( \\ { \displaystyle{ \int{ \large{ \rm{ \frac{1}{x( {x}^{3} + 1) }dx }}}}} \\ \)

Can be written as:

\( \\ { \large{ \longrightarrow{ \displaystyle{ \int { \rm{\frac{3 {x}^{2} }{3 {x}^{2} \times x( {x}^{3} + 1) } dx}}}}}}\)

\( \\ { \large{ \longrightarrow \frac{1}{3} \: { \displaystyle{ \int{ \rm { \frac{ {3x}^{2} }{ {x}^{3} ( {x}^{3} + 1)} dx}}}}}}\)

Now to evaluate this integral , we use the method of Substitution.

So, Substitute:

\( \: \: \: \: \: \: \: \: \: \: \: \: { \rightarrow \: {\large{\rm{ {x}^{3} = y}}}}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \: { \large{ \rm{3 {x}^{2} dx = dy}}}\)

So, on Substituting the values in above integral, we get:

\( \\ { \large{ \longrightarrow{ \frac{1}{3} \: \displaystyle{ \int{\rm{ \frac{1}{y(y + 1)} }}}}}}\)

\( \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \frac{1 + y - y}{y(y + 1)}dy }}}}}}}\)

\( \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ {\rm{ \frac{y + 1 - y}{y(y + 1)}dy }}}}}}}}\)

\( \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \left[ \frac{1}{y} - \frac{1}{y + 1} \right ] }dy}}}}}}\)

\({ \large{ \longrightarrow{ \rm{ \frac{1}{3} \left( log |y| - log |y + 1| \right) + c}}}}\)

\({ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{y}{y + 1} | + c }}}}\)

\({ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{ {x}^{3} }{ {x}^{3} + 1 } | + c }}}}\)

Hence,

\( \\{ \boxed{ \pink { \large{ \displaystyle{ \int{ \rm{ \frac{dx}{x ({x}^{3 } + 1 )} = \frac{1}{3 } log{ \huge{ |}} \frac{ {x}^{3} }{ {x}^{3} + 1} { \huge{ | }} + c}}}}}}}\)

After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression \(\frac{1}{x\cdot (x^{3}+1)}\) is equal to the trascendental expression \(I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C\).

According to the statement we have an integrable rational expression formed by non-trascendental expressions, that is, expressions whose behavior is described solely by algebraic components. This expression can be solved by algebraic substitution after making the following modifications:

\(\int {\frac{dx}{x\cdot (x^{3}+1)} } = \int {\frac{3\cdot x^{2}}{3\cdot x^{3}\cdot (x^{3}+1)} } \, dx = \frac{1}{3}\int {\frac{3\cdot x^{2}}{x^{3}\cdot (x^{3}+1)} } \, dx\)

And the following substitutions are used: u = x³, du = 3 · x² dx

\(\frac{1}{3} \int {\frac{du}{u \cdot (u+1)} }\)

This is expression is equivalent to the following by partial fraction decomposition:

\(-\frac{1}{3}\int {\frac{du}{u+1} } \, du +\frac{1}{3}\int {\frac{du}{u} }\)

And the integral is now solved:

\(I = -\frac{1}{3}\cdot \ln |u+1| + \frac{1}{3}\cdot \ln |u| + C\)

\(I = \frac{1}{3}\cdot \ln \left|\frac{u}{u+1} \right| + C\)

\(I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C\)

Where C is the integration constant.

After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression \(\frac{1}{x\cdot (x^{3}+1)}\) is equal to the trascendental expression \(I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C\).

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The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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Answer:

um i cant see the question

Step-by-step explanation: