A rectangular sign is 16.18 inches long and 4.63 inches wide. What is the perimeter of the sign in inches?

The inverse of the function f(x) = 9x²- 12 is p(x) = √(x + 12)/9

Given that the domain of a function f is restricted to x ≥ 0, we need to find the inverse of the function

f(x) = 9x²- 12 for x ≥ 0.

To find the inverse of the function, we proceed as follows.

f(x) = 9x²- 12

Let f(x) = y

So, we have that

y = 9x²- 12

Adding 12 to both sides of the equation, we have that

y + 12 = 9x²- 12 + 12

y + 12 = 9x²

Dividing both sides by 9, we have that

(y + 12)/9 = 9x²/9

(y + 12)/9 = x²

Taking square root of both sides, we have that

√x² = √(y + 12)/9

x = √(y + 12)/9

Now, replacing x with y, we have that

x = √(y + 12)/9

y = √(x + 12)/9

Replacing y with f⁻¹(x), we have that

f⁻¹(x) = √(x + 12)/9

So, the inverse is p(x) = √(x + 12)/9

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As a result, the vertices' coordinates after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T' (1,-1).

Where two or more line segments or edges meet, a shape has a vertex (like a corner). Vertex is the singular form of the noun. A cube, for instance, has eight vertices, whereas a cone only has one. When discussing 2D and 3D shapes, the term "vertices" is preferred over the term "corners."

Given:

QRST is the number.

There is a translation rule \(T_{(3,-2)} (QRST)\)

In search of:

following translation, the vertex's coordinate.

Solution:

The result of applying the translational rule is  \(T_{(3,-2)} (QRST)\)  what we receive (x , y) → (x+3 , y-2)

The vertices of QRST are Q(1,3), R(3,-3), S(0,-2) and T, as is evident from the given picture (-2,1).

The result of applying the aforementioned rule is

Q(1,3) → Q' (1+3 ,3-2)→ Q'(4,1)

R(3,-3) → R' (3+3, -3-2) = R'(6,-5)

S(0,-2) → S'(0+3, -2,-2) = S'(3,-4)

T(-2,1) → T'(-2+3 , 1-2 ) = T'(1,-1)

As a result, the vertices' coordinates after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T' (1,-1).

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Answer:

 4π cm

Step-by-step explanation:

The length of an arc of a circle with radius r and central angle θ is given by ...

  s = rθ

where θ is in radians.

Here, your arc measures 60° = π/3 radians, so the arc length is ...

  s = (12 cm)(π/3) = 4π cm

Answer:

No. This is not true.

2x2x2x2x2 = 32

5x5 = 25

Therefore,

2^5 does NOT equal 5^2.

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question reads....}\)

\(\mathbf{Does\ 2^5 = 5^2?\ Use \ the\ drop-down\ menus\ to \ explain}\)

\(\huge\textbf{Breaking down the first equation:}\)

\(\mathbf{2^5}\\\\\mathbf{= 2\times 2 \times 2 \times 2 \times 2}\\\\\mathbf{= 4 \times 4 \times 2}\\\\\mathbf{= 16 \times 2}\\\\\mathbf{= 32}\)

\(\huge\textbf{So, the first choice \boxed{answer} is:}\)

\(\huge\boxed{\mathsf{2\times2\times2\times2\times2}}\huge\checkmark\)

\(\huge\textbf{Answering number 2:}\)

\(\mathbf{Since, your\ 2\ expressed\ 5\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 2}}\huge\checkmark\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\huge\textbf{Breaking down the second equation: }\)

\(\mathbf{5^2}\\\\\mathbf{= 5\times5}\\\\\mathbf{= 25}\)

\(\huge\textbf{So, the third choice \boxed{answer} is:}\)

\(\huge\boxed{\mathsf{5\times5}}\huge\checkmark\)

\(\huge\textbf{Answering number 4:}\)

\(\mathbf{Since, your\ 5\ expressed\ 2\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 5}}\huge\checkmark\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\mathbf{2^5 \neq 5^2}\\\\\\\mathbf{32 \neq 25}\)

\(\large\text{Since }\rm{2^5}\large\text{ and }\rm{5^2}\large\text{ have }\large\boxed{\textbf{ no common factors }},\large\text{ they \boxed{\textbf{ are not }}}\large\text{ equal.}\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

Sample of 81

This means that \(n = 81\)

What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(M = 1.96\frac{198}{\sqrt{81}}\)

\(M = 43.12\)

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Answer:

O-2(x+5)

Step-by-step explanation:

I have to much time on my hands

Answer:

-2x-10

Step-by-step explanation:

-5(x+2)+3x=

Distribute

-5x-10 +3x

Combine like terms

-2x-10

Answer:

20

Step-by-step explanation:

You can start by evaluating the expressions inside the parenthesis:

6 + (8) + ( 7 + 3 ) - 4

6 + 8 + 10 - 4

Now, you can add an subtract from left to right:

14 + 10 - 4

24 - 4

20

Answer:

20

Step-by-step explanation:

Answer:

2 its given that cd bisects ab at e so that means e is midpoint of ab

3. vertically opposite angles

4.By SAS congruence

Answer:

5 sides

Step-by-step explanation:

the sum of the interior angle and exterior angle = 180°

sum the parts of the ratio, 2 + 3 = 5 parts , then

180° ÷ 5 = 36° ← value of 1 part of the ratio

exterior angle = 2 × 36° = 72°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular then the exterior angles are congruent , so

number of sides = 360° ÷ 72° = 5

Answer:

$228.67

Step-by-step explanation:

Given that:

Terry has a monthly mortgage payment of $979.

Terry's annual taxes are $1200 per year. That implies that his escrow each month require to posses 1/12 of that amount.

i.e 1/12 × 1200 = $100 per month.

For his  homeowner's insurance which is $800 per year,

His escrow account each month is = 1/12 × 800 = $66.67

PMI = $62 per month.

Thus: The amount that is deposited  into Terry's escrow account each month is the sum total of $100 + $ 66.67 + $62 = $228.67

Answer:

The measure of angle wxz is 130°?

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer: Statement 1 is false.

Step-by-step explanation: 1 is false because all natural numbers, whole numbers, and integers are rationals.

Answer:

69+3devide 8 = 9 hours laura spend on bout

Answer: Laura can spend up to 9 hours in the boat.

Step-by-step explanation:

Lets say that T represents the number of hours.

1. Set up an equation to represent the situation.

2. Add the discount to the amount of money Laura wants to spend.

3. Divide the sum by the cost per hour to get your answer.

=> 8t - 3 ≤ 69

=> 8t ≤ 72

=> t ≤ 9

I might be wrong but I hope this helps :’)

Step-by-step explanation:

the answer is in pdf. check the answer and draw it on number line

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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Answer:

A ) Not orthogonal to each other

B) 50i + 40j + 105k

C) The tensor product is attached below

D ) The value of X = F.X is attached below

Step-by-step explanation:

attached below is the detailed solution of the above problem

A) for the vectors ( u ) and ( v ) to be orthogonal to each other [ U.V has to be = 0 ] but in this scenario  U.V = 4 hence they are not orthogonal to each other

b) The vector normal to plane is gotten by : U x V

= 50i + 40j + 105k

Answer:

Answer:y=x divided by 3 times 5.

Step-by-step explanation:

if you divide x for example 6 by 3, you will get 2 then multiply it by 5, you will get 10, which is y.

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

D. (1,4) this is the correct answer

Answer:

b

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 13)

m = \(\frac{13-1}{4-(-2)}\) = \(\frac{12}{4+2}\) = \(\frac{12}{6}\) = 2

Using the point (- 2, 1 )

y - 1 = 2(x - (- 2)) , that is

y - 1 = 2(x + 2) → b

Using the point (4, 13)

y - 13 = 2(x - 4) ← not one of the options

Answer: 1/24

Step-by-step explanation:

1st even = 3/6 (2,4,6)

2nd Prime = 3/6 (2,3,5)

3rd multiple of 5 = 1/6 (5)

3/6 x 3/6 x 1/6 = 9/216

9/216 = 1/24

Given:

There are 4 equations.

To find:

The complex roots.

Explanation:

A) Considering option A,

Let us find the discriminant value.

Since it is negative. So, it has complex roots.

B) Considering option B,

Let us find the discriminant value.

Since it is positive. So, it has real roots.

C) Considering option C,

Let us find the discriminant value.

Since it is positive. So, it has real roots.

D) Considering option D,

So, it has a real solution.

Final answer:

Option A has complex roots.