what is the value of x for this equation √6x-9=x

As a result, the radian measure of the relevant center angle is around 3.07 radians.

An arc is any smooth curve that connects two locations. The length of an arc is referred to as its arc length. A graph arc is an ordered pair of neighboring vertices in a graph. An arc is defined as any segment (other than the complete curve) of a circle's circumference.

Here,

The formula for the length of an arc in a circle is given by:

Arc Length = (Central Angle / 2π) * Circumference

We know the Arc Length and the Radius of the circle, so we can find the Central Angle as follows:

Arc Length = (Central Angle / 2π) * 2π * Radius

66/5 * π = (Central Angle / 2π) * 2π * 22

66/5 * π = Central Angle * 22

Central Angle = (66/5 * π) / 22

The radian measure of an angle is equal to the ratio of the length of the arc that it intercepts to the radius of the circle. Hence, the radian measure of the central angle is given by:

Central Angle (in radians) = Arc Length / Radius

= (66/5 * π) / 22

So, the radian measure of the corresponding central angle is approximately 3.07 radians.

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Answer:

ur right!!

Step-by-step explanation:

The numerical length of PQ is 20

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the line segments are: -

OQ=11  O P = 9

The numerical value of PQ will be calculated as below.

OP+OQ=PQ

11+9=PQ=11+9=PQ

Therefore PQ=20=PQ

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Log base n of 4/n is 0.133.

To find log base n of 4/n, we can use the properties of logarithms to simplify the expression. Let's break it down step by step:

We know that log base n of 4 is given as 1.133, and we want to express log base n of 4/n.

Using the property of logarithms, we can rewrite 4/n as (4 * n^(-1)).

Now, applying another property of logarithms, we can split this expression into two separate logarithms:

log n (4 * \(n^{-1}\) ) = log n 4 + log n ( \(n^{-1}\) )

Since log base n of  \(n^{-1}\)  is equal to -1, we can simplify further:

log n (4 *  \(n^{-1}\) ) = log n 4 + (-1)

Now, substituting the known values:

log n 4 = 1.133

The expression becomes:

log n (4/n) = 1.133 - 1

Simplifying the subtraction:

log n (4/n) = 0.133

Therefore, log base n of 4/n is equal to 0.133.

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The Practice Operations with radical expressions is simplified using the basic of the Algebra:

Algebraic expressions incorporating radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both). The root might be an nth root, a square root, or a cube root. Radical expressions can be made simpler by taking them down to their most basic form and, if feasible, getting rid of all of the radicals.

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. An algebraic expression's numerator and denominator are multiplied by the appropriate radical expression if the denominator contains a radical expression.

Practice Operations with radical expressions are:

1) \(\sqrt{540}\) = \(\sqrt{36 * 15 }\)

= 6√15

2) \(\sqrt[3]{432}\) = \(\sqrt[3]{216*2}\)

= \(6\sqrt[3]{2}\)

3) \(\sqrt[3]{128}\) = \(\sqrt[3]{64*2}\)

= \(4\sqrt[3]{2}\)

4) \(-\sqrt[4]{405}\) = \(-\sqrt[4]{81*5}\)

= \(-3\sqrt[4]{5}\)

5) \(\sqrt[3]{-5000}\) = \(-\sqrt[3]{1000*5}\)

= \(-10\sqrt[3]{5}\)

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Answer:

A ≈ 24.6 units²

Step-by-step explanation:

Given 2 sides and the included angle ( angle between the 2 sides ) then the area (A) is calculated as

A = \(\frac{1}{2}\) ab sinC

Here a = 12, b = 5 and C = 55° , then

A = \(\frac{1}{2}\) × 12 × 5 × sin55° = 30 × sin55° ≈ 24.6 units²

Evan can play 2 games of mini golf and 9 games of kart track.

Given that Evan's mom gave him 11 tickets and left in game zone for 3 hours,

He can spend 1 ticket on one game, and he spend 10 minutes in kart track and a game of mini golf lasts 45 minutes.

We need to find how many games he played of both the games,

So, let he played x games of kart track and y games of mini golf,

So,

x + y = 11

x = 11 - y.............(i)

10x + 45y = 180...........(ii) [ ∵ 3 hours = 180 minutes]

Use the equation i in ii,

So,

10(11-y) + 45y = 180

110 - 10y + 45y = 180

35y = 70

y = 2

Put y = 2 in equation 1,

x = 11-2

x = 9

Hence he played 2 games of mini golf and 9 games of kart track.

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Answer:

6m -11n

Step-by-step explanation:

Answer:

I just answered this obviously for a previous post.

Answer:

a = 1, b = -2

Step-by-step explanation:

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

\(a( {4}^{2} ) + b = 14\)

4a + b = 2

16a + b = 14

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

12a = 12

a = 1, and so b = -2

We need approximately 164.57 inches of paper to wrap the gift, rounded to two decimal places.

We have,

To wrap a gift in the shape of a cylinder without wasting any paper, we need to calculate the surface area of the cylinder, which represents the amount of paper required to cover the entire cylinder.

The formula for the surface area of a cylinder is:

SA = 2πr^2 + 2πrh

where SA is the surface area, r is the radius of the base, h is the height of the cylinder, and π is pi, which we will approximate as 22/7.

We are given that the height of the cylinder is 18 inches and the diameter is 6 inches.

We can use the diameter to find the radius, which is half of the diameter:

r = d/2 = 6/2 = 3 inches

Now we can substitute the values of r and h into the formula for SA:

SA = 2πr^2 + 2πrh

SA = 2(22/7)(3)^2 + 2(22/7)(3)(18) (substituting r = 3 and h = 18)

SA = 2(22/7)(9) + 2(22/7)(54)

SA = 396/7 + 756/7

SA = 1152/7

Therefore,

We need approximately 164.57 inches of paper to wrap the gift, rounded to two decimal places.

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Answer:

1,4,9,25,36,49,64,81,100,121,144

Question: What numbers make up the perfect squares

Answer:  

A perfect square is a number that can be expressed as the product of two equal integers.

Step-by-step explanation:

9 9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers) 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)

Answer:

537.97m

Step-by-step explanation:

add ratios - 15+13+4

=32

√32(32-15)(32-13)(32-4)

√32x17x19x28

=537.97m

The F-ratio is closest to option (d) 1.

If the researcher concludes that there are no systematic treatment effects in an ANOVA study, it implies that the F-ratio, which measures the variability between groups relative to the variability within groups, is close to 1.

The F-ratio compares the mean square between groups (MSB) to the mean square within groups (MSW). If the treatment effects are not significant and the variability between groups is similar to the variability within groups, then the F-ratio will be close to 1.

Therefore, the F-ratio is closest to option (d) 1.

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Answer:

x = 2

Step-by-step explanation:

-5x + 8 = -2

-5x + 8 - 8 = -2 -8

-5x = -10

-5x/5 = -10/5

-x = -2

x=2

Simplify the equation:

-5x = 2 + 8

-5x = 10

x = -2

The number of franchises predicted for 15 years from now is 24. To determine the number of franchises predicted for 15 years from now, we need to solve the given differential equation.

The equation dn =\(\frac{9}{t+1}\) dt represents the rate at which the number of franchises (dn) is changing with respect to time (dt). Integrating both sides of the equation gives us the equation n = 9 ln(t+1) + C, where C is the constant of integration.

Given that there is one franchise at present (t = 0), we can substitute n = 1 and solve for C. Plugging in the values, we get 1 = 9 ln(0+1) + C, which simplifies to C = 1 - 9 ln(1) = 1.

Now, to find the number of franchises predicted for 15 years from now (t = 15), we substitute t = 15 into the equation n = 9 ln(t+1) + C. Plugging in the values, we get n = 9 ln(15+1) + 1, which simplifies to n = 24. Therefore, the predicted number of franchises for 15 years from now is 24.

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Answer:

6

Step-by-step explanation:

6 ^ (1/4) ^ 4

We know a^ b^ c = a^(b*c)

6 ^ (1/4*4)

6^1

6

Answer:

C. 6

Step-by-step explanation:

Multiply the exponents on the expression

1/4 x 4 = 1

This simplifies to 6^1 or 6

Answer:

Divide the diameter by 2

Step-by-step explanation:

Answer:

40-5g

Step-by-step explanation:

have a niceeeeeeeeeee day

Answer:

\(40 - 25g\)

Step-by-step explanation:

\(5(8 - 5g) \\ 40 - 25g\)

Here you can simply solve the brackets.

How can you do it is,

You have to multiply each term inside the brackets by 5.

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

Answer:1400.812

Step-by-step explanation:

Answer: 1,400.812

Step-by-step explanation: This looks like an addition problem

685.488 + 715.324 = 1,400.812

Answer:

umm im not smart sorry

Step-by-step explanation:

The probability that the test results are correct, and that this student is not overstressed is mathematically given as

3.08%

This is further explained below.

Generally,

Let A: student is overstressed

B: The test is positive. Given

\(P(\bar{B} / \bar{A})=0.95, P(B / A)\\P(\bar{B} / \bar{A}) =0.85, P(A)\\P(\bar{B} / \bar{A})=0.995, \\\)

\(P\left(\frac{\text { correctresult }}{\text { Test negative }})=P(\bar{A} / \bar{B}) \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{B})} \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{A} \cap \bar{B})+P(A \cap \bar{B})}\right.\)

\(=\frac{P(\bar{B} / \bar{A}) P(\bar{A})}{P(\bar{B} / \bar{A}) P(\bar{A})+P(\bar{B} / \bar{A}) P(A)} \\\\=\frac{0.95 \times 0.005}{0.95 \times 0.005+0.15 \times 0.995} \\\)

=0.0308

=3.08%

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An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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Answer:

First one, true

Second one, 23/45

Third one, 11/29

Step-by-step explanation:

There's thy answer for thy self t-t

Answer:

1.)true

2.) 23/45

3.)11/29

Step-by-step explanation:

The moment of area Mx is -32/15. To find the moment of area Mx, we need to integrate the product of the area and the perpendicular distance to the x-axis over the region.

First, let's find the points of intersection between the two curves:

x^2 = -x^2 + 4x

2x^2 - 4x = 0

2x(x-2) = 0

x = 0 or x = 2

So the two curves intersect at (0,0) and (2,4).

Next, we need to determine which curve is on top in the region of interest. At x = 1 (halfway between the intersection points), we have:

y = x^2 = 1

y = -x^2 + 4x = 3

Therefore, the curve y = -x^2 + 4x is on top in the region of interest.

Now we can set up the integral for the moment of area:

Mx = ∫[0,2] [(∫[x^2,-x^2+4x] y dy) * x] dx

= ∫[0,2] [(1/2)(-x^4+4x^3) * x] dx

= ∫[0,2] (-1/2)x^5 + 2x^4 dx

= [-1/12 x^6 + 2/5 x^5] from 0 to 2

= (-32/15)

Therefore, the moment of area Mx is -32/15.

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If -4 is a zero with multiplicity 1, then (x + 4) is a factor of the polynomial. Similarly, if 1 is a zero with multiplicity 2, then (x - 1)^2 is a factor of the polynomial. Therefore, we can write the polynomial in factored form as:

f(x) = a(x + 4)(x - 1)^2

where "a" is a constant that we need to determine.

To find "a", we use the fact that f(0) = -12. Substituting x = 0 into the equation above, we get:

f(0) = a(0 + 4)(0 - 1)^2

-12 = -4a

Solving for "a", we get:

a = 3

Therefore, the polynomial is:

f(x) = 3(x + 4)(x - 1)^2

Note that this polynomial has a zero at x = -4 (with multiplicity 1), a zero at x = 1 (with multiplicity 2), and f(0) = -12.

It should be noted that the value by rounding of using compatible numbers 76 multiplied by 78 will be 6000 but the normal multiplication is 5928.

It should be noted that compatible numbers simply refers to the numbers that can be added, subtracted and multiplied easily.

In this case, it should be noted that the compatible number for 76 × 78 will be 75 × 80 which will give a value of 6000.

Therefore, it sould be noted that the value by rounding of using compatible numbers 76 multiplied by 78 will be 6000 bit the normal multiplication is 5928

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