PLEASE HELP ME OUT

I WILL GIVE BRAINLIEST

PERFORM THE FOLLOWING CONVERSIONS USING UNIT FACTORING

400mg = _____kg

30 cm = _____ mm

Answer:

Step-by-step explanation

Domain :

x

>

4

, in interval notation :

(

4

,

∞

)

Range:

g

(

x

)

∈

R

, in interval notation :

(

−

∞

,

∞

)

Explanation:

g

(

x

)

=

ln

(

x

−

4

)

;

(

x

−

4

)

>

0

or

x

>

4

Domain :

x

>

4

, in interval notation :

(

4

,

∞

)

Range: Output may be any real number.

Range:

g

(

x

)

∈

R

, in interval notation :

(

−

∞

,

∞

)

graph{ln(x-4) [-20, 20, -10, 10]} [Ans]  x>4

Answer:

Step-by-step explanation:

The Domain of g(x) = -|x| is all real numbers (no restrictions on what values x can take).

The Range of g(x) = -|x| is all real numbers less than or equal to zero. Absolute value of any real number is always greater than or equal to zero, and multiplying by a negative sign, that flips the sign of the result. So, g(x) will always be less than or equal to zero.

Domain:  (-∞, ∞), {x|x ∈ R}

Range: (-∞, 0), {y ≤ 0}

Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

Answer:

2 1/2 ft

Step-by-step explanation:

Is this what you meant?

Length = 1/2 ft

Width = 3/4 ft

If so, then:

Perimeter = length + length + width + width

P = 1/2 ft + 1/2 ft + 3/4 ft + 3/4 ft

P = 2/4 ft + 2/4 ft + 3/4 ft + 3/4 ft

P = 10/4 ft

P = 5/2 ft

P = 2 1/2 ft

Answer: $120

First, create a function

\(\left \{ {{5a+b=45} \atop {12a+b=80}} \right.\\\\(5-12)a+(1-1)b=45-80\\\\-7a=-35\\\\a=\frac{-35}{-7} =5\\\\5a+b=45\\\\5(5)+b=45\\\\b=45-25=20\)

Therefore, the function is y = 5x + 20

To find the amount of money at week 20, set x = 20 and solve:

\(y=5(20)+20=100+20=120\)

Therefore, the answer is $120.

Answer: 16(x-5)

Step-by-step explanation: I think

First, let's calculate the Profit functions which is P(x)=R(x)-C(x)

Let's continue simplifying the function

The profit function is a polynomial function, so the domain is all the real numbers which means x can be any real number

Domain=(-∞,∞)

Calculating x=-10 doesn't make sense because x in all the functions is the number of items, and doesn't make sense to have -10 items, so x shouldn't be negative numbers.

And Calculating x=1000 doesn't make sense either because the problem says "The maximum capacity of the company is 110 items" so if we have x=1000 we are exceeding the limit of items that the company can handle.

Now let's calculate the profit when producing 40 and 50 items (we just need to evaluate those values in the function):

The profit when the company produces 50 items is 500 and the profit when the company produces 40 items is 550.

The company should choose to produce 40 items because is a higher profit in contrast to making 50 items.

According to the function, when we replace the values in X we can see that the term (X^2) grows more than the term X and as you can see the term X^2 is negative which decreases the final result of the profit. Another way to see this is by drawing the function

As you can see the function is a parable and when the number of items "X" is very high the function tends to decrease. The function starts to grow in profit until 40 items (when you find the maximum value of profit) and then the profit function decreases.

Answer:

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

So we form two equations:

x + y = 75_____(i)

and x - y =  35

so, x = y+35 _____(ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

The first number is 20, and the second number is 55.

Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.

Let's assume the first number is x.

According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).

The sum of the two numbers is given as 75, so we can set up the equation:

x + (x + 35) = 75

Simplifying the equation, we get:

2x + 35 = 75

Subtracting 35 from both sides:

2x = 40

Dividing both sides by 2:

x = 20

Therefore, the first number is 20, and the second number is (20 + 35) = 55.

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a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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Answer:

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer: The new set of coordinates is (-6, 3)

Step-by-step explanation:

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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(a) The number of binary strings of length 10 with at least one 1 is 1023.

(b) The number of binary strings of length 10 with at least one 1 and at least one 0 is 2045.

(a) To count the number of binary strings of length 10 with at least one 1, we can subtract the number of strings with all 0's from the total number of binary strings of length 10.

The total number of binary strings of length 10 is 2^10 = 1024, and the number of strings with all 0's is 1 (namely, 0000000000). Therefore, the number of binary strings of length 10 with at least one 1 is:

1024 - 1 = 1023

(b) To count the number of binary strings of length 10 with at least one 1 and at least one 0, we can use the principle of inclusion-exclusion.

The number of strings with at least one 1 is 1023 (as we calculated in part (a)), and the number of strings with at least one 0 is also 1023 (since the complement of a string with at least one 0 is a string with all 1's, and we calculated the number of strings with all 0's in part (a)).

However, some strings have both no 0's and no 1's, so we need to subtract those from the total count. There is only one such string, namely 1111111111. Therefore, the number of binary strings of length 10 with at least one 1 and at least one 0 is:

1023 + 1023 - 1 = 2045.

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Answer:

The height of first tree is

[ 5.5+18tan(50 degrees) ] ft. This is approximately 26.95 ft.

Angle of elevation from Jimmy's eyes to top of tree is arctan([20+18tan(50 degrees)] /18). This is approximately 66.53 degrees.

Step-by-step explanation:

It would help you to draw a picture for both of these.

You have a person whose height is 5.5 ft and from there horizontal gaze they see a bird from a 50 degree angle of elevation. He is standing 18ft ftom the tree.

So we will first want to find the distance from his eyesight level to the top of the tree. We can do this using the tangent ratio since we have the opposite and adjacent measurements.

Let the distance from eyesight level to the top of the tree be r.

tan(50)=r/18

Multiply both sides by 18:

18tan(50)=r

Now the height of the tree is

[5.5+18tan(50 degrees)] ft.

Now if he is the middle of two trees, then he 18 ft from the 2nd tree.

Since he says the height is 20ft taller than the first tree then it's height is

[20+5.5+18tan(50 degrees)] ft.

Now since we want to find his angle of elevation to the top of the 2nd tree we need to take out his height given us the distance from his eyesight level to the top of the tree which is

[20+18tan(50 degrees)] ft..

So again we are using the tangent ratio.

Let this angle if elevation be P.

tan(P)=[20+18tan(50 degrees)] /18

Take arctan() of both sides:

P=arctan([20+18tan(50 degrees)] /18)

Answer:

x = 4

y = 5

Step-by-step explanation:

4x = x + 12

^(subtract x from both sides)^

3x = 12

^(divide both sides by 3)^

x = 4

3y = 15

(divide both sides by 3)

y = 5

Larger companies and corporations may have headquarters or major offices in metropolitan areas, providing more job opportunities and potentially higher salaries.

There could be several reasons why non-metropolitan workers in the United States earn less than their metropolitan counterparts. One possible explanation is that industries that tend to pay higher wages, such as technology and finance, are more concentrated in metropolitan areas. Another factor could be the level of education and training available in non-metropolitan areas, which may limit the types of jobs and salaries available. These are just a few potential reasons why there may be a difference in median earnings between non-metropolitan and metropolitan workers. The likely explanation for the phenomenon of non-metropolitan workers in the United States having median earnings that are $24 less than metropolitan workers is due to differences in the cost of living, job opportunities, and the types of industries prevalent in each area. Metropolitan areas generally have higher costs of living, more diverse job opportunities, and a higher concentration of higher-paying industries, leading to increased median earnings for metropolitan workers.

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The graph of the solution of y > -2x + 1 and y ≥ 3x - 2 is shown in the image below.

Given the inequalities,

y > -2x + 1

y ≥ 3x - 2

To graph the solution, first note the slope and y-intercept of each of the line that the inequalities represent, and determine where the shaded region for each will lie across the boundary lines.

y > -2x + 1 will have a slope of -2 and the line will intercept the y-axis at 1. Since the inequality sign is ">", it means he boundary line will be a dotted or dashed line, and the shaded region will be on top of the boundary line.

y ≥ 3x - 2 will have a slope of 3 and its line will intercept the y-axis at -2. The boundary line will be a solid line, and the upper part will be shaded.

Therefore, the graph that shows the solution is given below.

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Answer:

B

Step-by-step explanation:

In the middle of the kite, there are 4 angles that are the same (90*)

So using the given angle 54 and the 90* we can find the last angle

54 + 90 = 144

180 - 144 = 36

The left-over angle is 36*

By using the definition of Taylor series, the Taylor series (centered at c) for the given function is \($f(x) = 8 - 8(x - 1) + \frac{16(x - 1)^2}{2!} - \frac{48(x - 1)^3}{3!} + \ldots$\)

The Taylor series expansion of a function f(x) centered at a point c is a representation of the function as an infinite sum of terms involving the derivatives of f evaluated at c.

In this case, we are given the function f(x) = 8/x and we want to find its Taylor series centered at c = 1.

To find the Taylor series, we need to calculate the derivatives of f(x) and evaluate them at x = 1.

Let's start by finding the first few derivatives:

f'(x) = -8/\(x^2\)

f''(x) = 16/\(x^3\)

f'''(x) = -48/\(x^4\)

Evaluating these derivatives at x = 1, we get:

f'(1) = -8

f''(1) = 16

f'''(1) = -48

Now we can use these values to write the Taylor series expansion.

Since f(x) is not defined at x = 0, we will consider the Taylor series centered at x = 1 for values of x close to 1.

The general formula for the Taylor series is:

\($f(x) = f(c) + f'(c)(x - c) + \frac{f''(c)}{2!}(x - c)^2 + \frac{f'''(c)}{3!}(x - c)^3 + \cdots$\)

Substituting the values we calculated, the Taylor series for f(x) centered at c = 1 is:

\($f(x) = 8 - 8(x - 1) + \frac{16(x - 1)^2}{2!} - \frac{48(x - 1)^3}{3!} + \ldots$\)

This is the Taylor series representation of the function f(x) = 8/x centered at c = 1. The series provides an approximation of the function for values of x near 1, and the more terms we include in the series, the better the approximation becomes.

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The probability that she chooses 4 spades and 2 cards that are not spades is, 0.0260.

The probability that she chooses 2 red face cards is 0.1202.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

As given, Carrie draws 6 cards simultaneously from a well-shuffled deck of 52 playing cards. She chooses 4 spades and 2 cards that are not spades.

There are 52 cards in total. 39 of them are not spades, whereas 13 of them are.

Consequently, the likelihood that she will select 4 spades and 2 non-spade cards is as follows:

\(\frac{(13C4)(39C2)}{(52C6)} = \frac{715(741)}{20358520} = 0.0260\)

Therefore, the option (b) is the correct.

Now she chooses 2 red face cards.

There are 52 cards in total. Six of them have red faces, but the other forty-six do not.

The likelihood that she will select two red face cards is as follows:

\(\frac{6C2(46C4)}{52C6} = \frac{15(163185)}{20358520} = 0.1202\)

Therefore, the probability that she chooses 2 red face cards is 0.1202.

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it should be 271.94

Answer:

299/100*85=$254.15 + 7% = 254.15/100*107= $ 271.9405

Step-by-step explanation:

1. $299/100*85=$254.15 + 7% sales Tax =  $ 271.9405

Answer:

37.5

Step-by-step explanation:

180-75 = 105

180 is the sum of all the angle in a triangle

180-105 = 75

75/2 = x becuz the triangle is icoceles

=37/5

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The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).

In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).

The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.

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Answer:

Step-by-step explanation:

The planet Mars is about 141.6 million miles away from the Sun. The speed of light is about 186,000 miles per second. It would take approximately 761 seconds (or 12 minutes and 41 seconds) for light to get from the Sun to Mars.

Answer:

Concept:

We will solve the length of the missing side using the Pythagoras theorem below

By substituting the values, we will have

Hence,

The length of the missing side of the triangle = 24

Answer:

No, 18 7 10 are can not make a triangle.

Step-by-step explanation:

First of all, what does a Triangle?

A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.

Three sides form a triangle :  if sum of length of two sides is greater than the third side. But here

10+7=17 < 18.

That is the sum of two sides (10+7) is less than the third side i.e 18

So that 18 7 10 are can not make triangle.

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Answer:

18 7 10 are can not make a triangle.

Step-by-step explanation:

Definition of a Triangle

A figure that has three sides and three angles is knows as a triangle

And a property of a triangle is that the sum of length of two sides should always be greater than the third side.

We have given the length of sides as : 18 7 10

now check it :

(i) 18 + 7 = 25 which is greater than 10

(ii) 18 + 10 = 28 which is greater than 7

(iii) 7 + 10 = 17 which is lesser than 18

so  the sum of two sides (10+7) is less than the third side 18

Therefore 18 7 10 are can not make triangle.

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Answer:

im pretty sure its kilometers

We will divide the area of the figure into two smaller figures and then add up their values.

Firstly, the triangle with base 9, height 12 and hipotenuse 15. The area of a triangule is base times height divided by two. So,

\(A_1= \frac{12\times9}{2} = 54\)

And the second figure we'll consider is the trapezium with larger base 15, smaller base 10 and height 3. The area of a trapezium is given by the sum of the bases times the height divided by two. So,

\(A_2=\frac{3\times(15+10)}{2} = 37.5\)

Therefore the total area is:

\(A=A_1+A_2\\A=37.5 + 54\\A=91.5\text{ units}^2\)

Answer:

wheres the question

Step-by-step explanation: