Find the inverse of the one-to-one function State the domain and the range of the inverse function 110.8). (1. - 11), (2.- 14).(3.7),(4. - 1)) The inverse function is
The domain of the inverse function is
The range of the inverse function is

Answer:

(x-6)3

hope it helps

The length of the shortest ladder that will reach from the ground over the fence to the wall of the building is approximately 8.94 feet.

To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In this case, the fence, building, and ladder form a right triangle, where the fence and building are the legs, and the ladder is the hypotenuse.

We know that the fence is 8 feet tall and the building is 4 feet away from the fence, so the height of the right triangle (the distance from the ground to the top of the building) is also 8 feet.

To find the length of the ladder, we need to use the Pythagorean theorem:

ladder^2 = fence^2 + height^2
ladder^2 = 8^2 + 4^2
ladder^2 = 64 + 16
ladder^2 = 80
ladder ≈ 8.94 feet

Therefore, the length of the shortest ladder that will reach from the ground over the fence to the wall of the building is approximately 8.94 feet.

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The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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Answer:

-6

Step-by-step explanation:

follow

BODMAS

bracket=(11-8)=3

3!= 3x2x1=6

multiplication= -2x6= -12

subtraction=6-12=-6

Answer:

numerator - 4

denominator - 3

Step-by-step explanation:

6 × 2/9

12/9

4/3

Answer:

Isaac = x

Step-by-step explanation:

Erika is 3y older than Isaac

Isaac is x years old

Answer:  x+3

Work Shown:

x = Issac's age right now

x+7 = Erika's age right now

(x+7)-4 = x+3 = Erika's age four years ago

If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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Answer:

A. yes

B. yes

Step-by-step explanation:

In both nets, the rectangles can be folded to touch every edge of both triangular bases.

Answer: Disagree.

Step-by-step explanation:

I Disagree because the Triangles in Exhibit B have only 2 equal sides while the triangles in A have all equal sides.

Answer:

between 6 and 7

hope it helps you budy

Answer:

6 and 7

Step-by-step explanation:

Given that the square root of 40 is 6.32..., the decimal is between 6 and 7.

a) P(x=7) can be calculated by substituting x=7 into the given probability mass function: f(7) = 7(7+1)/2 = 7(8)/2 = 56/2 = 28.

b) P(x>6) represents the probability that x is greater than 6. Since the discrete random variable x can take any whole number greater than or equal to 1, the probability of x being greater than 6 is the sum of the probabilities of x being 7, 8, 9, and so on. To calculate this, we can find the sum of the probabilities for each individual value of x greater than 6.

P(x>6) = P(x=7) + P(x=8) + P(x=9) + ...

We can plug in the values of x one by one into the given probability mass function and sum up the results.

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Answer:

1) 15

3)180

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

please mark me as brainliest

Answer:

Step-by-step explanation:

x+3 - x = 3 = width

2(x+3) = 2x + 6 = length

2x + 6 +2x +6 +3 +3 = 4x + 18 = Perimeter of T

Answer:

When the discriminant value is zero, we get one real solution; When the discriminant value is negative, we get a pair of complex solutions; Standard Form. The standard discriminant form for the quadratic equation ax 2 + bx + c = 0 is. Discriminant, D = b 2 – 4ac. Where. a is the coefficient of x 2. b is the coefficient of x. c is a constant term.

Estimated Reading Time: 50 secs

Step-by-step explanation:

The F-distribution is used to test the significance of the population coefficient of determination (option D).

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.

To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.

The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.

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The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

\(m\angle ABC = 77.2^\circ\)

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

\(m\angle ABD=m\angle CBD\)

Substituting the algebraic expressions for both angles:

\(2.5x + 8.6=3.5x - 3.4\)

Subtracting 8.6 and 3.5x:

\(2.5x - 3.5x = -8.6 - 3.4\)

Operating:

\(-x = -12\)

\(x = 12\)

The two angles are:

\(m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ\)

\(m\angle CBD=3.5x - 3.4 = 38.6^\circ\)

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

\(m\angle ABC = 2*38.6^\circ=77.2^\circ\)

\(\mathbf{m\angle ABC = 77.2^\circ}\)

Answer:

Step-by-step explanation:

slope=(6-0)/(0+4)=6/4=3/2

eq. of line is y=mx+c

y=3/2x+6

or y-3/2x=6

or y-1.5x=6

the sale price is $18.75

Answer: 1/4 mabey for the first I’m not sure tey another site maybe

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/3 x = 12

or, x = 12 * 3

or, x = 36

3x + 3 =21

or, 3x = 21 -3

or, 3x = 18

or, x = 18 ÷ 3 = 6

3/2 x -4 =16

or, 3/2 x = 16 + 4

or, 3/2 x = 20

or, 3x = 40

or, x = 40/3

the equation given is 9.95 + 0.30s

for 35 songs; s = 35

9.95 + 0.30* 35

= 9.95 + 10.5

= 20.45

last question

let the cost of t shirt be x

11* x - 6 = 27

11x + 6 = 27

Answer:

\({\frac{1}{x^{\frac{5}{3} } }\)

Step-by-step explanation:

Apply exponent rule:  \(a^{-b}=\frac{1}{a^{b}}\)

So:  \(x^{-\frac{5}{3}}={\frac{1}{x^{\frac{5}{3} } }\)

Answer:

1 / 3 sqrt x^5

Step-by-step explanation:

aka B on edge

The ratio is 2 : 3 and the value that completes the table is 15

From the question, we have the following parameters that can be used in our computation:

Table of values

The entries on the table of values are

Red and Green

Using one of the entries, we have

Red : Green = 2 : 3

To complete the table, we have

10 : Green = 2 : 3

Multiply by 5

10 : Green = 10 : 15

So, we have

Green = 15

Hence, the required entry on the table is 15

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Answer:

74

Step-by-step explanation:

let's say that your number is x

\(x\\\\x+3\\\\\frac{x+3}{7} \\\\=11\)

so we have

\(\frac{x+3}{7}=11\\\\7*\frac{x+3}{7}=11*7\\\\x+3=77\\\\x+3-3=77-3\\\\x=74\)

so your number was 74

Answer:

x

=

3.5

=

2.5

=

0

=

5

X

=

Step-by-step explanation:

The statement that is NOT correct about hypothesis testing is: "We cannot eliminate both type l error and type II error at the same time."

In hypothesis testing, we aim to make a decision about a population parameter based on sample data. Type I error refers to rejecting a true null hypothesis, while Type II error refers to failing to reject a false null hypothesis. While it is not possible to completely eliminate both types of errors simultaneously, we can minimize the chances of committing either of them by choosing an appropriate significance level and conducting a power analysis.

Therefore, the statement that we cannot eliminate both Type I and Type II errors at the same time is incorrect.

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Answer:

Step-by-step explanation:

Let the line to be found be Line 2

Given:

Line 1 :

y = 4x + 6

Since y = mx + b

We can substitute and find that the slope of Line 1 is 4

Therefore slope of Line 2 = (4)

Line 2:

Point - (1,6)

Slope - 4

Therefore: 6 = (4)(1) + b

So equating it we get : b = 2

Answer:

option A is correct ans of this qn

The rational roots of the polynomial P(x) = x^3 + 3x^2 + x - 1 can be found using the Rational Root Theorem.

The Rational Root Theorem states that if a polynomial has a rational root, it will be in the form of p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. In this case, the constant term is -1 and the leading coefficient is 1. The factors of -1 are -1 and 1, and the factors of 1 are 1. Therefore, the possible rational roots of this polynomial are -1/1, 1/1, or -1 and 1.

We can test these possible roots by plugging them into the polynomial and seeing if the result is 0.

P(-1) = (-1)^3 + 3(-1)^2 + (-1) - 1 = -1 + 3 - 1 - 1 = 0
P(1) = (1)^3 + 3(1)^2 + (1) - 1 = 1 + 3 + 1 - 1 = 4

Therefore, the only rational root of this polynomial is -1.

So, the rational roots of the polynomial P(x) = x^3 + 3x^2 + x - 1 are -1.

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Solution

1) The volume of a cone.

The volume of a cylinder = 36

What is the relationship between the volume of the cone and the volume of the cylinder? (Answer: The cone takes up one-third of the volume of the cylinder.)

2) Volume of a sphere

The relation between the volume of sphere and the volume of cylinder is that the volume of the sphere is two-third of the volume of the cylinder with a height equal to the diameter of the sphere and the same radius.

Final answer

The value of 'a' that makes the given system a dependent system is 4.

To make the given system a dependent system, we need to find the value of 'a' that makes both equations equivalent or proportional.

Let's begin by rearranging the first equation so that it is in the standard form y = (2/3)x.

Now, let's substitute this expression for y in the second equation and simplify:

6y - a - 4x = 0

6(2/3)x - a - 4x = 0

4x - a = 0

We can see that if we choose 'a' to be equal to 4, then both equations will be equivalent. In other words, the system will become a dependent system with infinitely many solutions.

To see why, let's substitute 'a' as 4:

6y - 4 - 4x = 0

6y - 4x = 4

Now, if we compare this equation to the first one we wrote, y = (2/3)x, we can see that they are equivalent. Thus, any solution that satisfies the first equation will also satisfy the second equation, and vice versa. This means that we have infinitely many solutions to the system.

In conclusion, the value of 'a' that makes the given system a dependent system is 4.

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