What is the distance between -6 2/3 and 4 1/3 on a number line, in units?

Select ALL that apply.

The value of the third angle when discussing the angles on the straight line when other angles are given is 60°.

Your information is incomplete. Therefore, an overview will be given. It should be noted that the angle on a straight line is 180°.

In this case, let's assume that A is 45° and B is 75°, the value of the third angle will be calculated thus:

= 180° - (45° + 75°)

= 180° - 120°

= 60°

Learn more about angles on:

https://brainly.com/question/25770607

The second derivative of y = 6tan(x) is y'' = 2sec^2(x)tan(x).

Let's go through the steps of finding the second derivative of the function y = 6tan(x) in more detail.

To find the second derivative, we start by finding the first derivative of y with respect to x. In this case, the derivative of tan(x) is sec^2(x) according to the trigonometric derivative rule.

So, we have:

y' = d/dx (6tan(x))

= 6 * d/dx (tan(x))

= 6 * sec^2(x)

Now, we want to find the derivative of y' with respect to x to obtain the second derivative. Applying the derivative rules again, we get:

y'' = d/dx (6sec^2(x))

= 6 * d/dx (sec^2(x))

Using the chain rule, the derivative of sec^2(x) is 2sec(x) * sec(x) * tan(x), which simplifies to 2sec^2(x)tan(x).

Therefore, the second derivative of y = 6tan(x) is y'' = 2sec^2(x)tan(x).

The second derivative gives us information about the rate of change of the slope of the function y = 6tan(x). In this case, it tells us how the slope is changing with respect to x.

Learn more about second derivative at https://brainly.com/question/29005833

#SPJ11

Given:

The equation is:

\(2540=\dfrac{22}{7}r^2(20)\)

To find:

The solution for the given equation.

Solution:

We have,

\(2540=\dfrac{22}{7}r^2(20)\)

It can be written as:

\(\dfrac{2540\times 7}{22\times 20}=r^2\)

\(\dfrac{17780}{440}=r^2\)

\(\dfrac{889}{22}=r^2\)

Taking square root on both sides, we get

\(\sqrt{\dfrac{889}{22}}=r\)               [Radius cannot be negative]

\(r=6.3568145\)

\(r\approx 6.36\)

Therefore, the value of r is about 6.36 cm.

Answer: Y = 11 + 7x.

Step-by-step explanation:

Given data:

Drum stick = 11 grams of protein.

Cheese sticks (x) = 7grams.

Let Y represents the range of function.

y = 11 + 7x

Let the domain is x > = 0

range is y > = 11

Since there are no barriers to the fraction of cheese stick she can eat

This means all real numbers are ≥11.

Answer:

C

Step-by-step explanation:

I TOOK TEST

Answer:

£ 45.6

Step-by-step explanation:

Number of adults ⇒ 12

Number of children ⇒ 26

Total cost of tickets ⇒ £ 1804.80

Cost of an adult's ticket ⇒ £ 51.60

Cost of a ticket for child ⇒ ?

Let the cost of a ticket for child be x.

Therefore,

Total cost = cost of tickets for adults + cost of tickets for children

Total cost = (No. children × Cost of a ticket) + (No.adults × Cost of a ticket)

£ 1804.80 = 26x + 12 × £51.60

1804.80  = 26x + 619.2

1804.80 - 619.2 = 26x

1185.6 = 26x

Divide both sides by 26.

45.6 = x

So,

Cost of a ticket for child is £45.6

Step-by-step explanation:

12 x 51.60 you get the total cost for the adult tickets and all thats left is the total cost - adult ticket cost and then you get the child ticket wirth now all thats left is childs ticket cost % 26

The simple interests are:

a)$120  b)$6 c)$4320

a. To calculate the simple interest for P = $500, R = 8%, and T = 3 years, use the formula S.I = P x R x T:
S.I = $500 x 0.08 x 3
S.I = $500 x 0.24
S.I = $120
So the simple interest for the first problem is $120.

b. To calculate the simple interest for P = $50, R = 12%, and T = 1 year, use the formula S.I = P x R x T:
S.I = $50 x 0.12 x 1
S.I = $50 x 0.12
S.I = $6
So the simple interest for the second problem is $6.

c. To calculate the simple interest for P = $1000, R = 18%, and T = 24 years, use the formula  S. I = P x R x T:
S.I = $1000 x 0.18 x 24
S.I = $1000 x 4.32
S.I = $4320
So the simple interest for the third problem is $4320.

To know more about "Simple interest" refer here

https://brainly.com/question/25845758?#

#SPJ11

The value of the following cardinalities:

a. |A| when A = {4, 5, 6,..., 37} is 34.

b. |A| when A = {x ∈ ℤ : -2 ≤ x ≤ 100} is 103.

c. |A∩B| when A = {x ∈ ℕ : x ≤ 20} and B = {x ∈ ℕ : x is prime} is 8.

We have to determine the following cardinalities.

a. |A| when A = {4, 5, 6,..., 37}.

Total number of elements = 34

|A| = 34

b. |A| when A = {x ∈ ℤ : -2 ≤ x ≤ 100}.

|A|: The number of integer that lies between -2 ≤ x ≤ 100

So the total number of elements from -2 ≤ x ≤ 100 is 103.

So, |A| = 103

c. |A∩B| when A = {x ∈ ℕ : x ≤ 20} and B = {x ∈ ℕ : x is prime}.

A∩B = {x ∈ ℕ : x ≤ 20 and x is prime}

A∩B = {2, 3, 5, 7, 11, 13, 17, 19}

Total elements = 8

|A∩B| = 8

To learn more about finding the values of cardinalities link is here

brainly.com/question/13095210

#SPJ4

Answer:

Step-by-step explanation:

24=6*4

2*2*2*3

108=2*2*3*3*3

gcf=12

Answer:

3:5

Step-by-step explanation.

The first half: 9

The second half is: 15

9:15 =3:5

Answer:

(4,5)

Step-by-step explanation:

Rotating a point by 90 degrees counterclockwise would make the y become x and switch it's negative/positive value, and make x the y.

Ex: (x,y) would become (-y,x)

Answer:

26 hours

Step-by-step explanation:

Add all of them up and get 26

Answer:

I just need points I don't know your answer

Step-by-step explanation:

The solution of the expression is 216(cd)³.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the exponential expression is (6cd⁻¹)⁻³. The expression will be simplified as below,

E = (6cd⁻¹)⁻³.

Use the property of the exponents to multiply the powers and now solve.

E= (6cd³)

E = 6³ x (cd³)

E = 216(cd³)

Therefore, the simplified value of the expression is 216(cd)³.

To know more about an expression follow

https://brainly.com/question/8844911

#SPJ1

Answer:

2/4 = 1/2

1/2 of 12 is 6

6 + 4 is 10

You have 10 strawberries.

Step-by-step explanation:

for more detail since my answer above is just my head math:

Let's first find out how many strawberries your friend has:

Your friend has 12 strawberries.

Now, we need to determine how many strawberries you have based on the given information. We know that you have 4 more strawberries than 2/4 as many strawberries as your friend.

2/4 of your friend's strawberries is equal to:

2/4 x 12 strawberries = 6 strawberries.

Now, add 4 more strawberries to this quantity to find the total number of strawberries you have:

6 strawberries + 4 strawberries = 10 strawberries.

Therefore, you have 10 strawberries.

Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?

The co planar forces are the those forces which act in the same plane.

According to the statement

we have to explain all about the co planar forces.

So, For this purpose, we know that the

Firstly the co planar means the same plane.

So, When all forces are acting in the same plane, they are called co planar whereas when forces act at the same time and at the same point, they are called concurrent/forces.

And

In other words,

Co planar forces are several forces that lie on the same plane and whose lines of action intersect at a common point.

There is a co planar force system which is a force system is a system of two or more forces whose lines of action ALL intersect at a common point.

So, The co planar forces are the those forces which act in the same plane.

Learn more about Co planar forces here

https://brainly.com/question/12970081

#SPJ9

Answer:

the time taken is 4 hours

Step-by-step explanation:

The computation of the time is shown below:

As we know that

Speed = Distance ÷ Time

50 miles per hour = 200 miles ÷ Time

So the time would be

= 200 ÷ 50

= 4 hours

Hence, the time taken is 4 hours

Answer:

4

Step-by-step explanation:

On solving the provided question we can say that - the half-life of nitrogen after 20 minutes 30 grams.

The amount of time needed for an isotope's radioactivity to decrease to half its initial value:The duration it takes for a quantity to drop to half its initial value is known as its half-life. In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms radioactively disintegrate or how long stable atoms last. In a broader sense, the phrase is used to describe any kind of exponential decay.

The equation for calculating half-life is;

amount of substance/2 = half life

half life of nitrogen after 10 minutes

120/2 = half life

half life = 60

the half-life of nitrogen after 20 minutes

half = 60/2 = 30 grams.1

20 grams of nitrogen in radioactive form make up the entire quantity

To know more about half life visit:

https://brainly.com/question/28008547

#SPJ4

Answer:

1. f(x)=18X +100

2:108

3. 7.5

Step-by-step explanation:

Answer:

-i

Step-by-step explanation:

Answer:

the answer is C

you have to use horner Division because its so easily to use

just search horner divission in polonium and you will find it

The expression f(x)/g(x) defines function h(x)=3x^2+12x.The answer is C.

We have given that,

\(f(x)=3x^2+9x^2-12x\)

\(g(x)=x-1\)

and,    \(h(x)=3x^2+12x\)

Suppose f(x) and g(x) are function,

\((\frac{f}{g}) (x)=\frac{f(x)}{g(x)}\)

So we have given function us

\(f(x)=3x^2+9x^2-12x\)

\(g(x)=x-1\)

We have divide f(x) by g(x)

\(=\frac{3x^3+9x^2-12x}{x-1}\)

\(=3x\left(x+4\right)\)

\(=3x^2+12x\)

Therefore we get the expression f(x)/g(x) defines function h.

To learn more about the function visit:

https://brainly.com/question/2833285

#SPJ2

Answer:

what are the excersises

Step-by-step explanation:

Answer:

f(−1) = ✔ 2 f(1) = ✔ 6f (2) = ✔ 11

Step-by-step explanation:

Researchers engage in experimentation to exercise maximum control over the factors they are interested in studying.

Generally, experimenter trials are used to control the study's variables. The experimental approach entails changing one variable to see if it affects another variable. This approach uses controlled exploration methods and arbitrary subject selection to test a thesis.

For illustration, experimenters might be interested in changing how colorful visual patterns may affect our perception. They might also consider whether specific actions can enhance memory. Multitudinous behavioral issues are the subject of trials, some of which include cognition, emotion, memory, perception, and sensation.

To learn more about experimentation, visit the link below:

brainly.com/question/28166603

#SPJ4

Answer:

Hello! The answer would be = 4

Step-by-step explanation:

Answer:

51-2c-3=4c+20+c

48=7c+20

28=7c

c=4

Answer:

£40000

Step-by-step explanation:

→ Set up an equation

x × 0.6 = 24000

→ Divide both sides by 0.6

x = 24000 ÷ 0.6 = 40000

The total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200. To split a group of 10 people into two groups of size 3 and one group of size 4, we can use the concept of combinations.

The number of ways to split the group can be calculated by determining the number of combinations of selecting 3 people from 10 for the first group, then selecting 3 people from the remaining 7 for the second group, leaving the remaining 4 people for the third group.

To split the group of 10 people into two groups of size 3 and one group of size 4, we can calculate the number of ways using combinations. The first group of size 3 can be formed by selecting 3 people from the total of 10 people. This can be represented as C(10, 3) = 10! / (3!(10-3)!).

Evaluating this expression:

C(10, 3) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120.

After selecting the first group, we are left with 7 people. From these 7 people, we need to select another group of size 3, which can be represented as C(7, 3) = 7! / (3!(7-3)!).

Evaluating this expression:

C(7, 3) = 7! / (3! * 4!) = (7 * 6 * 5) / (3 * 2 * 1) = 35.

Lastly, we have 4 people remaining, and they will form the third group of size 4. Since there is only one group left, there is only one way to assign the remaining 4 people to this group.

Therefore, the total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200.

To learn more about combinations click here : brainly.com/question/20211959

#SPJ11

not rlly surw if you are supposed to be putting dots there but if you are, I would put one a little bit before the first line for the 82.4 and one in the middle of the 600 and the line in the middle

Answer:

The place value is Hundrenths.

Step-by-step explanation:

After teh decmal it goes . Tenths,Hundreths,thosands.. and so o n. The 4 is in the Hundreths place.

Answer:

C

Step-by-step explanation:

Ur welcome

Answer:

$75

Step-by-step explanation: