Solve for u-6u+3(u-3)=12

a. (2x-8) - 8x = -6x-8

b. 2

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

An event with a probability of 0 is impossible.  

An event with a probability of 1 is certain.

Answer:

2 2 y = a x 2 + b x + c ; a ≠ 0 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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answer: 3

simply add 1 apple from Jeff and 2 apples from Jessica

(1+3) = ?

Thus, the answer is 3 apples all together

Answer:

1/10

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Answer:

\(\displaystyle \large \boxed{ \lim_{x \rightarrow +\infty} {x\left(\sqrt{x^2-1}-x\right)}=-\dfrac{1}{2}}\)

Step-by-step explanation:

Hello, please consider the following.

\(\sqrt{(x^2-1)}-x\\\\=\sqrt{x^2(1-\dfrac{1}{x^2})}-x\\\\=x\left( \sqrt{1-\frac{1}{x^2}}-1\right)\)

For x close to 0, we can write

\(\sqrt{1+x}=1+\dfrac{1}{2}x-\dfrac{1}{8}x^2+o(x^2)\\\\\ \text{x tends to } +\infty \text{ means }\dfrac{1}{x} \text{ tends to 0}\\\\\text{So, when }\dfrac{1}{x}\text{ is close to 0, we can write.}\\\\\sqrt{1-\dfrac{1}{x^2}}=1-\dfrac{1}{2}\dfrac{1}{x^2}-\dfrac{1}{8}\dfrac{1}{x^4}+o(\dfrac{1}{x^4})\)

So,

\(x\left( \sqrt{1-\frac{1}{x^2}}-1\right)\\\\=x(1-\dfrac{1}{2}\dfrac{1}{x^2}+o(\dfrac{1}{x^2})-1)\\\\=-\dfrac{1}{2x}+o(\dfrac{1}{x})\)

It means that

\(\displaystyle \lim_{x \rightarrow +\infty} {x\left(\sqrt{x^2-1}-x\right)}\\\\=\lim_{x \rightarrow +\infty} {-\dfrac{x}{2x}}=-\dfrac{1}{2}\)

Thank you

answer: 85+85+85+25



The area of the parallelogram is 63 feet.

(multiply base by height: bh = (10.5)(6)

Answer:

  C

Step-by-step explanation:

A relation is a function if each input gives exactly one output. There is one price for each number of pounds, so the relation is a function.

__

Additional comment

Relations expressed in terms of ordered pairs or tables can be identified as "not a function" if any input (x) value is repeated. Relations expressed as a graph will be "not a function" if any vertical line intersects the graph at more than one point. (This is called "the vertical line test.")

The cost function in this case is a straight line through the origin. It has a slope of $5.99/lb. Any polynomial relation will be a function.

Using Pythagoras theorem the value for dx/dt is obtained as option D: 39/41.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

We know that for a right triangle, by Pythagoras theorem, we have -

x² + y² = z²

Now, differentiating the above expression with respect to time 't' -

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Also, on further simplification -

x(dx/dt) + y(dy/dt) = z(dz/dt)

It is given that dx/dt = 3dy/dt

Then the differentiated equation becomes -

z(1) = x(dx/dt) + y/3(dx/dt)

Now, apply the Pythagoras theorem -

x² + y² = z²

Substitute the values x = 12 and y = 5 in the equation  -

12² + 5² = z²

z² = 144 + 25

z = √169

z = 13

Substitute the value of x, y and z in the differential equation -

13 = 12(dx/dt) + 5/3(dx/dt)

13 × 3 = 41 (dx/dt)

(dx/dt) = 39/41

Therefore, the value is obtained as 39/41.

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Answer: 5.75pi(yards)

Step-by-step explanation: We know the radius is 3 so the area is 9pi. The shaded area has an angle of 230 and the total angle of a circle is 360. We multiply the area by the fraction of the angle which is 230/360(9pi).

If the side view of a tire resembles a doughnut. If the inner diameter is 11.0 in. and the out diameter is 25.0 in., Then area of the side of tire is 92237.5 inches.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

A doughnut is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle.

A doughnut has two circles. One circle with in the other circle.

The diameter of inner circle is 11.

So radius of inner circle is 5.5 inches.

The diameter of outer circle is 25 inches.

The outer circle add diameter of inside circle.

25+11=36 inches.

The radius of outer circle is 18 iches.

The area of doubtnut

Area of big circle - Area of small circle or inner circle

Area of doubtnut= πR²-πr²

R outer radius= 18

r inner radius =5.5

Area of doubtnut= 3.142 (R²-r²)

=3.142(18²-5.5²)

=3.14(324-30.25)

=3.14(293.72)

=92237.5 inches

Hence the area of the side of the tire is 92237.5 inches

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Denominator has been factorized on the right.

Now we need to write this fraction as a sum of two fraction.

when x = 8 we have following

Similarly when x =-4 A = 17/12 these are the constants

Answer: 84

Step-by-step explanation:

Question requires finding the 16th term in this sequence:

= -6 + ( n - 1 )(6)

= -6 + ( 16 - 1) (6)

= -6 + (15 * 6)

= 84

Answer:

-1

Step-by-step explanation:

equation:

3(5-4)-4(5-4)

3*5-3*4 -4*5-4*-4

15-12-20+16

3-4

-1

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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Answer:

D. 17.4 yards

Step-by-step explanation:

Since the area of the rectangle is 17.36 square yards, and the width is 3.1 yards, we set up and solve this equation to find the length:

17.36 = 3.1h, so h = 5.6 yards.

From this, the perimeter of the rectangle is 2(3.1 + 5.6) = 2(8.7) = 17.4 yards.

So D is the correct answer.

Answer:

Niamh gets 12 and Jack gets 24.

Step-by-step explanation:

4:8 is equal to 1:2. 1 part + 2 parts is equal to 3 parts, which is equal to the whole. 36 is the whole, so 36/3 is equal to 12. 1 * 12 is equal to 12, and 2 * 12 is equal to 24.

Answer:Adam gets 12 and nidam gets 24..

Step-by-step explanation:feel pleasure to help u..

Answer:

d

Step-by-step explanation:

Answer:

C, ∠7  and  ∠3

100% Sure

Answer:

6/7

Step-by-step explanation:

P(yellow or even) = 3/7 + 3/7  =  6/7

Answer: 53.7

I hope this helps!

Answer:

Step-by-step explanation:

10 divided by 2.77 is

3.61010830325.

rounded up is 4 pounds?

Answer:

3

Step-by-step explanation:

If you divide 10 divided by 2.77 you get 3.610108303 but you don't need all the decimals so instead you will just get rid of the decimals in this scenario (not in all) and if you double check yourself by doing 2.77 x 3 you will get 8.31 and thats all you can do because 2.77 x 4 is 11.08 but you have a budget of $10.00 so your answer is:

You can get 3 pounds of blueberries with $10

The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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Step-by-step explanation:

When adding two fractions with different bases (bottom numbers), we can use this function:

\(\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd}\)

So, to apply this to the given question:

\(\frac{x+3}{x-6} +\frac{1}{x-2}\)

= \(\frac{(x+3)(x-2)+(1)(x-6)}{(x-6)(x-2)}\)

From the given answers, we see we don't need to simplify the resulting base number, which makes things a lot easier.

= \(\frac{[(x*x) + (x*-2)+(3*x)+(3*-2)]+(x-6)}{(x-6)(x-2)}\)

= \(\frac{[x^2 -2x+3x-6]+(x-6)}{(x-6)(x-2)}\)

= \(\frac{x^2 -2x+3x-6+x-6}{(x-6)(x-2)}\)

= \(\frac{x^2 +2x-12}{(x-6)(x-2)}\)

Now if we wanna be a little smart, we can see that from here, the only answer that has x^2 and something else, is A. But, just for show, lets factor.

= \(\frac{x(x+2)}{(x-6)(x-2)}\)

Answer:

A) \(\frac{x(x+2)}{(x-6)(x-2)}\)

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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