the simplication of log​

Answer:

Median = 45

Step-by-step explanation:

Since the given data set is already in ascending order, we we just have to find the middle most number of the data set:

There are 2 middle numbers 40 and 50, so to find the middle most number find their average:

(40 + 50) / 2 = 45

Median = 45

Hope this helps!

Answer:

66 units

Step-by-step explanation:

Diagonals in a rectangle are congruent (equal)

14x + 10 = 11x + 22

Subtract 11x from the right side and subtract -10 from the left to isolate the x's with a constant

You would get: 3x = 12

Divide both sides by 3 to isolate the x by itself;

You would get: x = 4

Next, plug in the value of 4 for whichever equation you want.

11(4) + 22 is what I chose and I got 66.

Hope this helps.

Answer: -4

Step-by-step explanation: u have to do -14x+11x=-3 then u do 22-10=12 now u  have to do 12 divide by -3 and u will get -4 as ur answer

Answer:

x + 3x + 4

2(2x+2)

2x + 1 + 2x + 3

Step-by-step explanation:

Have a nice day!

Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.

In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.

Given the following:

Apply the tangent ratio:

tan ∅ = 125/172

tan ∅ = 125/172

∅ = tan^(-1)(125/172)

∅ ≈ 36°

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Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

Section 4-1 Day 5 Translating Parabolas Key.pdf

Step-by-step explanation:

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

\(0.00005 = 5 \times {10}^{ - 5} \\ \\ \implies \: x = - 5\)

Steps to solve:

-6w - 8 + 15w = 2w - 8 + 7w

~Combine like terms

9w - 8 = 9w - 8

~Add 8 to both sides

9w = 9w

~Divide 9 to both sides

0 = 0

All real numbers are solutions.

Set builder notation: {x | R}

Best of Luck!

kyle regalara 16 figuras y le quedara 3/4 de ellas

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Answer:

It would be Faucet A

Once we transfer liters to drips:

Faucet A= 84,000 drips

Faucet B= 30 drips

As you can tell, Faucet A is dripping way more than Faucet B.

Hope this helps!

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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Answer:

why in kilometers? 87.3 km/h

Answer:

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

Answer:

$582.68

Step-by-step explanation:

Total amount will be,

→ $266.63 + $317.29 + $62.78

→ 266.63 + 380.07

→ $646.7

Then the final price will be,

→ ($646.7 - 15%) + 6%

→ (646.7 - (646.7/100) × 15) + 6%

→ (646.7 - 97.005) + 6%

→ 549.695 + (549.695/100) × 6

→ 549.695 + 32.9817

→ 582.6767

→ $582.68

Hence, the answer is $582.68.

Answer:

B and D

Step-by-step explanation:

edge 2021

The system of graphs is a very unique concept which helps to understand various concepts in a visual way.

How does this occur?

The two lines intersect at (-3, -4), which is the system of equations' solution.

This is how the equation can be solved-

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Answer:

I think it is b

sorry it took so long I just seen your question

As per the question, the therapist is studying the effect of the meditation and yogi exercises on reducing the stress. He offers a Radom sample of 30 people to his patients and allows them to pick the treatment.

Hence the option B is correct.

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Answer: +11

Step-by-step explanation: In this problem were going to

evaluate a - b knowing that a = 5 and b = -6.

So the first thing we want to do is substitute

these numbers into our problem.

It's a good idea to get into the habit of using parentheses

when substituting numbers in for variables.

So we have (5) - (-6).

When you see a minus a negative in a problem,

you can change it to plus a positive.

So (5) - (-6) can be thought of as 5 + (+6).

So just add 5 + 6 to give you +11.

So the answer is +11.

Answer:

11

Step-by-step explanation:

We are given the expression:

a-b

and these variables: a= 5 and b= -6.

Therefore, we can substitute 5 in for a and -6 in for b. Don't forget to use parentheses.

(5)-(-6)

When a negative number is subtracted from another number, or there are 2 adjacent negative signs, they can be turned into a plus sign.

5+6

Add 5 and 6

11

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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9514 1404 393

Answer:

  g(r) = (13 -πr)²/4

Step-by-step explanation:

The circumference of the circle is given by ...

  C = 2πr

The amount of rope remaining after the circle is formed will be ...

  26 -2πr

When this is used to form a square, each side of the square will be 1/4 of this length, so is ...

  s = (26 -2πr)/4 = (13 -πr)/2

The area of the square is the square of the side lengths, so is ...

  g(r) = ((13 -πr)/2)²

  g(r) = (13 -πr)²/4 . . . . area of the square as a function of circle radius

The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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According to the solving the function the value of  h(-2) + g(-2) is 45.

function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.

To find h(-2) + g(-2), we need to evaluate h(r) and g(r) when r = -2, and then add the results:

h(-2) = 11(-2)² - 6 = 44

g(-2) = (-2)² + 8(-2) + 9 = 1

So, h(-2) + g(-2) = 44 + 1 = 45.

Therefore, h(-2) + g(-2) = 45.

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No, being Independent and being a swing voter is not disjoint that mutually exclusive.

As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;

The 11% of respondents are  identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.

Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.

Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.

The given question is incomplete , the complete question is

A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.

Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?

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We can infer that the function y = 3 log2x - 5 has the following end behaviour:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

We may look at what happens to the function as x gets closer to positive and negative infinity to figure out the final behavior of the function y = 3 log2x - 5.

The formula 3 log2x also approaches infinity as x moves closer to positive infinity, and log2x moves closer to infinity as well. As a result, y becomes closer to infinity as x gets closer to positive infinity. The following can be written:

lim x→∞ 3 log2x - 5 = ∞

Similar to how log2x approaches negative infinity, the complete phrase 3 log2x also does as x approaches 0 from the right. Hence, when x moves towards 0 from the right, y moves towards negative infinity. The following can be written:

lim x→0+ 3 log2x - 5 = -∞

We can then infer that the final behavior of the function y = 3 log2x - 5 is as follows:

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Answer:

\(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 1 from both sides.

For this equation: a = 2, b = 20, c = 46

Step 3: Utilize quadratic formula with a = 2, b = 20, c = 46.

Therefore, the answer is \(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\).

let the number = x

3 times a number(x) = 3x

Four more than 3 times a number is at least 22​ can be expressed below

At least 22 simply means the lowest number is 22 or greater than 22. This means 3x + 4 is equals to 22 or greater than 22.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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