Express the radical using the imaginary unit, i.
Express your answer in simplified form.
IV-18 = +

Answer:

x = 5  or  x = −5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2 = 25

Step 1: Take square root.

x = ± √25

x = 5  or  x = −5

In the given equation x = 9 is the value that satisfies the equation.

The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because \(3*3 = 9\). The symbol for square root is "√" and it can also be represented as "sqrt".

In the given equation \(x = 9\) is the value that satisfies the equation.

To find the value of x in the equation \(3 \sqrt{x} = 9\), we first need to square both sides of the equation to eliminate the square root.

\(3 \sqrt{x} = 9\)

Squaring both sides:

\((3 \sqrt{x} )^2 = 9^2\)

\(x = 9^2 / 3^2 = 9^2 / 9 = 9\)

Therefore, x = 9 is the value that satisfies the equation.

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The direction of the cross product is perpendicular to both of the vectors being multiplied. So, the answer to the question of what is the direction of the cross product could be any of the six options provided (x direction, -x direction, y direction, -y direction, z direction, -z direction), depending on the orientation of the vectors being multiplied.

The direction of the cross product is determined by the right-hand rule. When you have two vectors, A and B, the cross product (A x B) will be perpendicular to both A and B in a third direction. To find this direction, point your fingers in the direction of vector A, and then curl them towards vector B. Your thumb will point in the direction of the cross product. The options you provided (x, -x, y, -y, z, -z) depend on the specific vectors you are working with. In general, the cross product direction will be in the z direction or -z direction for vectors lying in the xy plane.

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Using conversion from fraction to decimal and rational numbers, we have that:

7. The fraction that has a corresponding decimal greater than 1 is 4/3.

8. One rational number between 7 and 8 is given by option a, which is 7.83838383...

A fraction is converted to decimal dividing the numerator by the denominator.

In item 7, we consider fraction 4/3, for which:

Hence the corresponding decimal is given as follows:

4/3 = 1.333, which is the result of the division of 4 by 3, and is greater than 1.

The set of rational numbers is composed by all numbers that can be represented by fractions, such as integer, terminating decimals and repeating decimals.

In item 8, option a, we have the number 7.83, with the bar at 83. This means that 83 is the repeating decimal part, that is, the rational number is 7.83838383...

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Answer:

The answer is B 5x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\tt \left(x+5\right)+\left(4x-7\right)\)

\(\tt x+5+4x-7\)

Combine like terms:-

\(\tt x+4x+5-7\)

Add similar elements:-

\(\tt x+4x=\bf 5x\)

Subtract numbers:-

\(\tt \:5-7=\bf -2\)

\(\tt 5x-2\)

______________________

Hope this helps!

Answer:

Yes it is,

Step-by-step explanation:

Degree 1 (Exp 1) and it has 2 elements (2X and 1)

\(\\ \rm\bull\rightarrowtail 0.09\)

\(\\ \rm\bull\rightarrowtail \dfrac{9}{100}\)

Find square root

\(\\ \rm\bull\rightarrowtail \sqrt{\dfrac{9}{100}}\)

\(\\ \rm\bull\rightarrowtail \dfrac{3}{10}\)

\(\\ \rm\bull\rightarrowtail 0.3\)

The solution of the square root of 0.09 as a fraction is,

⇒ 3 / 10

We have to given that,

To find value of the square root of 0.09 as a fraction.

Now, We can write it as,

⇒ √0.09

⇒ √9 / 100

⇒ √(3/10)²

⇒ 3/10

⇒ 0.3

Therefore, The solution of the square root of 0.09 as a fraction is,

⇒ 3 / 10

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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Answer:

Step-by-step explanation:

= 1/3 + 1/6 + 1/12 (LCM 12)

= 4/12 + 2/6 + 1/12

= 6/12

= 1/2

Therefore 1/2 = 2 days

They will all work together and finish the job in 2 days

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Answer: 9

Step-by-step explanation:

To find the perimeter of the Triangle, add all 3 sides together

So 2x + 3x + 4x = 81

9x = 81

Divide both sides by 9

x=9

Answer:

7 trophies on 1 shelf and 3 on a second shelf

Step-by-step explanation:

because you have 10 trophies, 7 can fit on the first shelf, but because there are 3 left over, you can put them on a second shelf.

If a shelf can hold 7 trophies then 604800 ways can the trophies be arranged if there are 10 trophies available

Permutation of a set is an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Given,

A shelf can hold 7 trophies.

If there are 10 trophies.

We need to find how many ways can we arrange these 10 trophies.

This can be done by using permutation.

10P7

ⁿPr=n!/(n-r)!

n=Number of trophies=10

r=Number of selected trophies=7

¹⁰P₇=10!/(10-7)!

=10!/3!

=10×9×8×7×6×5×4×3!/3!

=604800

Hence 604800 ways  can the trophies be arranged if there are 10 trophies available

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Answer:

I think its A

Step-by-step explanation:

Answer:

The mean of all sample proportions from all random samples of 100 dentists in the state of Ohio is equal to 0.72.

Step-by-step explanation:

Answer:

f(15) = 49

Step-by-step explanation:

f(x) = 4x - 11

f(15) = 4(15) - 11 (substitute 15 instead of x)

f(15) = 60 -11

f(15) = 49

Answer:

f(5)=9

Step-by-step explanation:

f(x)=4x-11

f(5)=4(5)-11

= 20-11

=9

To find the area inside the larger loop and outside the smaller loop of the limaçon r = 1 2 + cos(θ), we need to first visualize the graph of the limaçon.

The equation r = 1 2 + cos(θ) represents a curve that resembles a snail shell or a heart shape with a loop inside another loop. To find the area inside the larger loop and outside the smaller loop, we need to set up the integral using the polar coordinates.

The formula for the area enclosed by a polar curve is given by:
A = 1/2 ∫(θ2-θ1) (r2-r1)² dθ, where r2 is the outer curve, r1 is the inner curve, and θ1 and θ2 are the angles where the curves intersect.

In this case, the inner curve is r = 1 - cos(θ), and the outer curve is r = 1/2 + cos(θ). The curves intersect when cos(θ) = 1/2 or θ = π/3 and θ = 5π/3.
So, we need to split the integral into two parts, one for θ = π/3 to θ = 5π/3, and another for θ = 5π/3 to θ = π/3.

This is because the outer curve becomes the inner curve and vice versa when we cross the angle θ = 5π/3. For the area inside the larger loop and outside the smaller loop, we need to subtract the area enclosed by the inner curve from the area enclosed by the outer curve.

Using the formula above and plugging in the values, we get:
A = 1/2 ∫(5π/3-π/3) [(1/2 + cos(θ))² - (1-cos(θ))²] dθ

Simplifying this integral, we get:
A = 1/2 ∫(5π/3-π/3) [5/4 + 2cos(θ)] dθ
A = 5/8 [θ + sin(θ)](5π/3-π/3)
A = 5/8 [4π/3 + sin(4π/3) - (π/3 + sin(π/3))]
A = 5/8 [4π/3 - √3/2]
A = 5π/6 - (5/16)√3
Therefore, the area inside the larger loop and outside the smaller loop of the limaçon r = 1 2 + cos(θ) is 5π/6 - (5/16)√3.

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To find the area inside the larger loop and outside the smaller loop of the limaçon r = 1 + 2cos(θ), use the formula for finding the area enclosed by a polar curve.

The general formula is A = (1/2)∫(r^2)dθ, where r is the equation of the curve. In this case, we need to find the area between two curves: the larger loop given by r = 1 + 2cos(θ) and the smaller loop given by r = 1. To find the limits of integration, we need to find the values of θ where the two curves intersect. After finding the values of θ where the curves intersect, we can integrate the difference between the two equations r = 1 + 2cos(θ) and r = 1 with respect to θ.

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The answer will be 100.48

If we take π = 3.14.

The components of the vector with initial point (7,−6) and a terminal point at (6,−3) are:

The components of a vector are the vectors that makes up the resultant as described in the problem to have starting point (7,−6) and terminal point (6,−3).

This can be gotten by plotting these points and getting the coordinates of the points that makes the initial point and the terminal point the hypotenuse of the triangle

From the graph, the coordinates are:

component 1: (6, -6) to (3, -6)

component 2: (7, -6) to (6, -6)

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Answer:The answer is B.

He can't work more than 20 hours so t+b must be less than or equal to 20.

He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

Step-by-step explanation:

Answer:

YES.

Step-by-step explanation:

Given:

Weight of turkey with bone = 23 pound

Weight of turkey without bone = 17 pound

Computation:

Weight of turkey without bone percent = [17/23]100

Weight of turkey without bone percent = 73.913 %

Weight of turkey without bone percent = 74% (Approx)

So,

Damian says correct.

Answer:

c.3.95 gallons hopes this helps

Combining three popular technologies, blockchain: keys for cryptography. a network of peers that uses a shared ledger. a method of computation for storing exchanges and records.

Blockchain technology sets itself apart from conventional networks by offering transparency and integrity.

Integrity: When a user retrieves data from a network, he or she may be sure that the data is accurate and unaffected.

Transparency: Every user on the network may confirm any modifications made to the blockchain technology.

The read, write, create, and update operations to databases are provided by the traditional network, however the blockchain technology only enables users to attach the structure and already stored data cannot be changed.

When a new transaction is created, the blockchain makes sure to record it and perform transaction validation.

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Answer:

4

Step-by-step explanation:

Call the number x:

-> we have  \(\frac{2+x}{5+x} = \frac23\)

-> 2(5+x) = 3(2+x) -> 2x+10 = 3x+6 -> x = 4

So x (the number we need is) = 4

Answer : b: How many push-ups can a sixth grade girl do? and d:What are the weights of the sixth grade boys?

Answer:

How much do sixth grade boys weigh?

 How many push-ups can a sixth grade girl do?

Step-by-step explanation:

A statistical question is one that has a variable answer.

Determine which questions are statistical questions and can be answered with the data gathered in the fitness test.

The questions "How many sixth grade students are there?" and "What is the shortest height of the sixth grade students?" can be answered with the data gathered in the fitness test. However, they do not have variable answers, so they are not statistical questions.

The questions "What are the heights of the eighth grade girls?" and "How many chin-ups can a sixth grade boy do?" do have variable answers, so they are statistical questions. However, these questions cannot be answered with the data gathered in the fitness test.

The questions "How much do sixth grade boys weigh?" and "How many push-ups can a sixth grade girl do?" do have variable answers, so they are also statistical questions. These questions can be answered with the data gathered in the fitness test.

Hope I helped.

The solutions of the given equation are 2 or -2

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x²+2 = 6

x²+2 = 6

Solving we get,

x²+2 = 6

x² = 6-2

x² = 4

x = ±2

Hence, there are two solutions of the equation 2 or -2

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Answer:

If they all get an equal slice, 1/4.

Step-by-step explanation:

The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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Answer:

100

Step-by-step explanation:

4 x (2 + 3)\(^{2}\)

  for this equation u have to use PEMDAS so u have to solve the parenthesis first which is 5 then exponets which is \(5^{2}\) which is 25 and 24 x 4 gives you 100

hope this helps, if im wrong sorry

Answer:

£213.64

Step-by-step explanation:

You do 196(0.09)

That's 17.64

The you add the two

196+17.64

The way I got 9 was from 9%.

To make it in decimal form you have to move the decimal over two places.

Hope this helps

Answer:

she got 30 dollars.

Step-by-step explanation:

2x3x=50

5x=50

5x/5=50/5

=10

10*3=30 dollars