Type the correct question of the line

Answer:

2/2, 6/2

Step-by-step explanation:

2/2 can be simplified as 1 and 6/2 can be simplified as 3

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

Answer:

should be 1 and 33/80

Step-by-step explanation:

Answer: 1 33/80

Step-by-step explanation:

Answer:

for example:

r=2 cm

Area=pi r^2

=3.14*(2)^2

=3.14*4

=12.56

hope it helps

Good luck on your assignment

Therefore, the global maximum value of the function on the region B is 12, and the global minimum value is 4.

To find the global maximum and minimum values of the function f(x, y) = x² + y² + x²y + 4y² + x²y + 4 on the region B = {(x, y) ∈ R² | −1 ≤ x ≤ 1, -1 ≤ y ≤ 1}, we need to evaluate the function at its critical points within the given region and compare the function values.

1. Critical Points:

To find the critical points, we need to find the points where the gradient of the function is zero or undefined.

The gradient of f(x, y) is given by:

∇f(x, y) = (df/dx, df/dy) = (2x + 2xy + 2x, 2y + x² + 8y + x²).

Setting the partial derivatives equal to zero, we get:

2x + 2xy + 2x = 0          (Equation 1)

2y + x² + 8y + x² = 0      (Equation 2)

Simplifying Equation 1, we have:

2x(1 + y + 1) = 0

x(1 + y + 1) = 0

x(2 + y) = 0

So, either x = 0 or y = -2.

If x = 0, substituting this into Equation 2, we get:

2y + 0 + 8y + 0 = 0

10y = 0

y = 0

Thus, we have one critical point: (0, 0).

2. Evaluate Function at Critical Points and Boundary:

Next, we evaluate the function f(x, y) at the critical point and the boundary points of the region B.

(i) Critical point:

f(0, 0) = (0)² + (0)² + (0)²(0) + 4(0)² + (0)²(0) + 4

       = 0 + 0 + 0 + 0 + 0 + 4

       = 4

(ii) Boundary points:

- At (1, 1):

f(1, 1) = (1)² + (1)² + (1)²(1) + 4(1)² + (1)²(1) + 4

       = 1 + 1 + 1 + 4 + 1 + 4

       = 12

- At (1, -1):

f(1, -1) = (1)² + (-1)² + (1)²(-1) + 4(-1)² + (1)²(-1) + 4

         = 1 + 1 - 1 + 4 + (-1) + 4

         = 8

- At (-1, 1):

f(-1, 1) = (-1)² + (1)² + (-1)²(1) + 4(1)² + (-1)²(1) + 4

         = 1 + 1 - 1 + 4 + (-1) + 4

         = 8

- At (-1, -1):

f(-1, -1) = (-1)² + (-1)² + (-1)²(-1) + 4(-1)² + (-1)²(-1) + 4

          = 1 + 1 + 1 + 4 + 1 + 4

          = 12

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Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

planet fitness will take one month and total fitness will take 3 months

Step-by-step explanation:

planet fitness:

75

total fitness:

25

50

75

Answer:

Using Words: The total area of the house and deck is given by the sum: 40x20 + x(13x) .

Using Symbols: The total area of the house and deck is given by the sum: 800 + 13x^2 ft².

Step-by-step explanation:

In order to calculate how many words can you type in 1 minute we you use the rule of 3 to calculate the amount of words as follows:

you can type 600 words in 12 minutes therefore;

if 600 words____________________12 minutes

x_____________________1 minute

Therefore, the calculation would be:

x=words you can type in 1 minute

x=(600 words*1 minute)/12 minutes

x=50

Therefore, you can type a number of 50 words in 1 minute

Answer: 50 words

Step-by-step explanation: 600 divided by 12=50. 50x12=600

Answer:

It’s A

Step-by-step explanation:

True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.

In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.

In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.

The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.

If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.

If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.

Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.

Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.

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Answer:

y=3x+3

Step-by-step explanation:

Answer:No

It won't fit

Step-by-step explanation:

This is due to the fact that 7.54545454545454... is larger than 7.5

No. The picture frame will not fit into a box that measures 7.5 inches on each side.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Length of picture frame = 7 6/11 = 7.54 inches

Length of Box = 7.5 inches

So, From the above as we can see length of the box is smaller than the length of the picture frame.

Hence, it would not fit.

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Answer:

rod bins

Step-by-step explanation:

because you dealing with rods and you need aplace to put them that is the b bins

Answer:

rod bins

Step-by-step explanation:

if you invest $2,500 at a weekly compounding rate of 4.5% for 4 years, you will have approximately $3,157.22 to use as a down payment on your Can-Am Spyder.

How to solve investment?

If you invest $2,500 at a 4.5% weekly compounding rate, it will grow to a considerable amount in 4 years. To calculate this, we need to use the compound interest formula:

A = P(1 + r/n)

Where:

A = the final amount

P = the principal amount (initial investment)

r = the annual interest rate

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have:

P = $2,500

r = 4.5% = 0.045

n = 52 (since compounding is weekly)

t = 4 years

Plugging in these values, we get:

A = $2,500(1 + 0.045/52) in power (52*4) = $3,157.22

So, if you invest $2,500 at a weekly compounding rate of 4.5% for 4 years, you will have approximately $3,157.22 to use as a down payment on your Can-Am Spyder.

It's important to note that this calculation assumes that the investment vehicle will have a steady and reliable return rate for the entire 4 years. There is always some level of risk involved with investing, so it's important to do your research and make informed decisions about where to put your money.

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The mean of the data given is 13.4364 and.the standard deviation is 1.788.

It should be noted that the mean is the average of the giving set of numbers. In this situation, the mean is 3.1998.

E(X²) will be:

= (0² × 0.0408) + (1² × 0.1304) .... + (12² × 0.0001)

= 13.4364

Var(X) = 13.4364 - 3.1998²

= 3.198

The standard deviation will be:

= ✓3.198

= 1.788

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Answer:

8

Step-by-step explanation:

I just finished the test and recognized this question and thought I should help. :)

Answer:

81

Step-by-step explanation:

square root of 729= 9

9×9=81

Answer:

Step-by-step explanation:

Formula of Volume= \(a^{3}\) - a = side

Therefore since the volume is given you just need to find the side.

729=\(a^{3}\) = \(\sqrt[3]{729}\) = a

            = 9 = a

Now you know that 9 is the side, so using that find the area of one face-

Area of a square= 9 x 9 = 81\(cm^{2}\)

The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."

The statement that is NOT true is:

If x = -10, then x² = 100.

The other three statements are all true:

If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.

If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.

This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.

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Answer:

-2,-4,4

Step-by-step explanation:

just did edjunity

The root of the given equation x3 + 2x² - 16x - 32 is -2, -4 and 4.

Root is defined as a formula or number that, in most cases, represents the answer to an equation. There are some steps which are used to find the root. Divide the supplied number into its prime factors as the first step. Form similar factor pairings in which both factors are equal. This is step two. Take one element from the pair in step three. Calculate the product of the factors you got by taking one from each pair of factors if fourth step.

The equation is as follows: x3 + 2x2 - 16x - 32.

The equation's roots must all be located.

x3 + 2x2 - 16x - 32 = x2(x + 2) after common terms are removed.

- 16 (x + 2)  = (x2 - 16)(x + 2)

We are aware that (a2-b2) = (a-b)(a+b)

So, (x2 - 16) = (x - 4)(x + 4)

x3 + 2x2 - 16x - 32 = (x + 2)(x - 4)(x + 4) is the result now.

To get the roots, use the formulas:

= (x + 2) = 0

x = -2 = (x - 4) = 0

x = 4 = (x + 4) = 0

x = -4

Thus, the root of the given equation x3 + 2x² - 16x - 32 is -2, -4 and 4.

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The value of 6x is 102.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x=51/3

For 6x put x= 51/3 we get

6x = 6 x 51/3

6x = 2 x 51

6x = 102

Or, \(x^6\) = \((51/3)^6\)

\(x^6\) = 17,596,287,801 / 531,441

Hence, the value of 6x = 102.

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Answer:

What are you supposed to do?

Answer:

there are 4 dimes in the jar

Step-by-step explanation:

5 cents is a nickel and 10 cents is a dime

let x be the number of nickel and y be the number of dime

5x + 10y = 110

simplify the equation, we have

x + 2y = 22. eqn (1)

x + y = 18. eqn (2)

subtract (2) from (1), we have

y = 4.

therefore, there are 4 dimes

Answer:

C=1

Step-by-step explanation:

5x^4+7x^3-2x^2-3x+1 / (x+1)
-1/ 5 7 -2 -3 1
    5 2 -4 1 0
Remainder of 0 indicates that x=-1 is a solution.

we need to find 1% of 10000 first

so we divide 10000:100= 100 (that's 1%)

to find the 60% which will be accepted we multiply 100 × 60 = 6000 students accepted

of those 6000 we need to find 50% which is ½ so we basically just divide by 2, aka 6000 : 2 = 3000 people which will be enrolled