Find the distance between the points A and B given below.

(That is, find the length of the segment connecting A and B .)

Round your answer to the nearest hundredth.

Answer:

-8n² - 8n + 3

Step-by-step explanation:

Combine like terms (terms with the same variables, as well as the same amount of that variable).

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

First, distribute the negative sign to all terms within the second parenthesis:

4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1

Combine like terms:

(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)

-8n² - 8n + 3

-8n² - 8n + 3 is your answer.

Answer:

Option 3

Step-by-step explanation:

Answer:

64w2.

Step-by-step explanation:

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

? =30

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin ? = 25/50

Taking the inverse sin of each side

sin ^-1( sin ?) = sin^-1 ( 1/2)

? =30

Answer:

The second option, \(\frac{\sqrt{15}}{7}\)

Step-by-step explanation:

Edge '21

The equation for cot θ is √15/7. Therefore, option B is the correct answer.

Given that, cosec θ=8/7.

We need to find the ratio of cot θ.

The ratio of cot θ is cot θ=Adjacent/Opposite.

As we know, cosec θ=Hypotenuse/Opposite.

So, 7²+x²=8²

⇒x=√15

Now, cot θ=√15/7.

The value of cot θ is √15/7. Therefore, option B is the correct answer.

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A continuous time system can behave roughly throughout a variety of periods using a discretized state matrix. A continuous time condition matrix should be used in its place if these requirements are not satisfied since a discretized state matrix might not adequately depict the performance of a continuous time system.

A continuous time condition matrix is a matrix that is used to indicate the state of a system at any moment, as opposed to a discretized state matrix, which is used to describe the status of a system at discrete time intervals. Under the following conditions, a discrete-time state matrix is identical to a time series state matrix:

The system may be regarded as being in stable equilibrium at each time point since the time gaps between every discretization are short enough. This indicates that the behavior of the system does not drastically vary from one-time point to the next.

Over the time frames between each discretization, a linear model accurately predicts the behavior of the system. This means that the behavior of the system can be precisely predicted by a linear equation of the type "Ax = Bu," where A as well as B are matrices and x as well as u are vectors that, respectively, represent the system's state and input.

Over the intervals between each discretization, the system's input remains constant. This indicates that the system's input does not drastically vary from one-time point to the next.

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Answer:

Yes

5,5

Y

Step-by-step explanation:

Answer:

-2 ≤ x ≤ 2

Step-by-step explanation:

x values will be somewhere between -2 and 2 and include -2 and 2

Answer:

31.74 million

Step-by-step explanation:

Answer:

Robux and a Ps5

Answer:

One team must play 8 games 3 times equals 24 games

One team must play 24 games

But each game uses 2 teams so there are 12 games in all

Or 9 * 24 / 2 = 108 games

Check: If there were 3 teams then one team must play

2 games 3 times  for a total of 6 times so the total of games played will be six for each team or 18 games, but each game uses 2 teams so the total of games is nine:  1-2, 2-3, 1-3 (each team has played its opponent once) - 3 * 3 = 9

T = number of teams in league

(T - 1)    1 team plays each other once

(T - 1) * T  each team has played 1 game for entire league

(T - 1) * T / 2   total games to be played for 1 game each

G *  (T - 1) * T / 2     where G is number of games

Answer:

Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

15/12=1.25

55/44=1.25

x = -2
y = 3

\(-4x-2y=2\\ -4x+y=11\)

Subtract the two equations

\(-4x-2y-(-4x+y)=2-11\)

Remove parentheses

\(-4x-2y+4x-y=2-11\)

Cancel one variable

\(-2y-y=2-11\)

Combine like terms

\(-3y=2-11\)

Calculate the sum or difference

\(-3y=-9\)

Divide both sides of the equation by the coefficient of variable

\(y=\frac{-9}{-3}\)

Determine the sign for multiplication or division

\(y=\frac{9}{3}\)

Cross out the common factor

\(y=3\)

Substitute into one of the equations

\(-4x+3=11\)

Rearrange variables to the left side of the equation

\(-4x=11-3\)

Calculate the sum or difference

\(-4x=8\)

Divide both sides of the equation by the coefficient of variable

\(x=-\frac{8}{4}\)

Cross out the common factor

\(x=-2\)

The solution of the system is

\(x=-2\\ y=3\)

I hope this helps you

:)

The probability that both events occur simultaneously is 0.1913.

We can model the waiting time for the first claim from a good driver and the waiting time for the first claim from a bad driver as independent exponential distributions with mean 6 years and 3 years, respectively.

Let X be the waiting time for the first claim from a good driver and Y be the waiting time for the first claim from a bad driver.

Then, P(X ≤ 3) = 1 - e^(-3/6) = 0.3935 and P(Y ≤ 2) = 1 - e^(-2/3) = 0.4866.

Since X and Y are independent, the probability that the first claim from a good driver will be filed within 3 years and the first claim from a bad driver will be filed within 2 years is

(X ≤ 3) * P(Y ≤ 2) = 0.3935 * 0.4866 = 0.1913(rounded to four decimal places).

(rounded to four decimal places).

Therefore, the probability that both events occur simultaneously is 0.1913.

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Answer:

p equals two and four tenths

Step-by-step explanation:

First let's write our equation

five p plus three equals fifteen

five p equals twelve

divide both sides by 5

p equals two and four tenths

_______________________________

Word Problem

You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

14 hundreds, six tens, and 5 ones = 14(100) + 6(10) + 5(1) = 1465

1 thousand, 4 hundreds, 16 tens. and 5 ones = 1(1000) + 4(100) + 16(10) + 5(1) = 1565

The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.

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Answer:

Step-by-step explanation:

Gene has more, also, by the way, aren't you in my school? Do you know Ezekiel?

Step-by-step explanation:

once the level of medicine reaches a value, where 30% are 23mL (so, whatever is lost, is immediately replaced again), that is then the long run value for the amount of the drug in the patient's body.

so,

30% = 23 mL

1% = 30%/30 = 23/30 = 0.766666666...

100% = 1%×100 = 0.766666666... × 100 = 76.666666...

so, once the level reaches 76.666666... mL in the body, it will remain constant, as the daily filtered out 30% are 23 mL, and the daily add-on is also 23 mL.

so, the answer is

76.667 mL

Answer:

Karla Saved for 15 months.

Step-by-step explanation:

Tom saved 60 each month if he saved for 8 months then he made $480. Karla saved 32 each month, each of them saved the same amount, 480 because 480 + 480 = 960. divide 480 by 32 and you'll get 15. therefore Karla saved her money for 15 months.

Hope this helps :)

Answer:

Fernando walked 4 units

Step-by-step explanation:

Units walked from theater to locksmith:

2 units

Units walked from locksmith to hamburger joint: 2 units

2 + 2 = 4 units

Welcome!

Sonji choses the pieces that can be used to construct a triangle.

Given the question is shown in attached image.

We have to find which student chose pieces that can be used to construct a triangle.

Here, we will use the third important property of triangles is the triangle inequality rule, which states that the one length of a side of a triangle is always less than the sum of the lengths of the other two sides which are left and greater than the difference of the lengths of the other two sides.

So, applying this property in each case:

Case 1. Don’s uses the wires which measure 3 inches, 5 inches, and 12 inches.

Now using property

since sum of two sides = 3+5 =8

As we see here the third side 12 is not less than 8

So, Don’s wire cannot be used .

Case 2. Margo’s uses the wires which measure 6 inches, 8 inches, and 14 inches.

Now using property

since sum of two side :8+6=14

But third side 14 is not less than 14

So, Margo’s wire cannot be used .

Case 3. Sonji’s uses the wires which measure 12 inches, 8 inches, and 17 inches.

Now using property

since sum of two side :12+8=20

third side 17 is  less than 20

Now , difference of two sides : 12-8=4

third side 17 is greater than 4

So, Sonji’s wire can be used .

Case 4. Liam’s uses the wires which measure 16 inches, 8 inches, and 27 inches.

Now using property

since sum of two side :16+8 =24

But third side 27 is not less than 24

So, Liam’s wire cannot be used .

Hence, according to the question sonji choses the pieces that can be used to construct a triangle which is shown in attached image.

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Answer:

A. 6

Step-by-step explanation:

\(10x \degree + 30 \degree = 90 \degree \\(complementary \:angles) \\\\ 10x \degree = 90 \degree - 30 \degree\\ \\ 10x \degree = 60 \degree \\ \\ 10x = 60 \\ \\ x = \frac{60}{10} \\ \\ x = 6\)

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

The equation sec(x) - csc(x)/sec(x) + csc(x) = tan(x) - 1/tan(x) + 1 can be simplified to 1 = 1, which means that the equation holds true for all values of x.

To solve the given equation, we'll start by simplifying the left-hand side (LHS). Using the trigonometric identities sec(x) = 1/cos(x) and csc(x) = 1/sin(x), we can rewrite the equation as (1/cos(x)) - (1/sin(x))/ (1/cos(x)) + (1/sin(x)).

To combine the fractions, we find a common denominator, which is cos(x) * sin(x). Multiplying the numerator and denominator of the first fraction by sin(x) and the numerator and denominator of the second fraction by cos(x), we get (sin(x) - cos(x))/ (sin(x) + cos(x)).

Next, we simplify the right-hand side (RHS) of the equation. The tangent function is defined as tan(x) = sin(x)/cos(x), so tan(x) - 1/tan(x) + 1 becomes (sin(x)/cos(x)) - 1/((sin(x)/cos(x))) + 1.

Simplifying the RHS further, we get (sin(x)/cos(x)) - (cos(x)/sin(x)) + 1 = \(\frac{(sin^{2} (x) - cos^{2} (x) + cos(x)sin(x))}{cosxsinx}\) + 1.

Using the trigonometric identity sin²(x) + cos²(x) = 1, we can simplify the numerator of the RHS to sin(x)cos(x) + cos(x)sin(x), which simplifies to 2cos(x)sin(x).

Now, the equation becomes (2cos(x)sin(x))/(cos(x)sin(x)) + 1 = 1 + 1.

Finally, cancelling out cos(x)sin(x) in the numerator and denominator, we obtain 1 + 1 = 2, which simplifies to 1 = 1. This shows that the equation is true for all values of x.

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The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

Answer:

the side of a square is 45 m

Step-by-step explanation:

The computation of the side of the square field that contains the similar area as compared with rhombus is given below:

As we know that

Area of rhombus = Base × Altitude

= 81 × 25

= 2025

And, area of Square =  Side × side

2025 = side^2

side  = √2025

= 45m

Hence, the side of a square is 45 m

Step-by-step explanation:

x² + 14x + 40

= (x + 10)(x + 4).

Hence the answer here is B.

The surface area of the prism is 78 square units, which corresponds to option A.

You provided three dimensions: 5 units, 3 units, and 3 units. I assume these are the dimensions of a rectangular prism.

Let's label the dimensions: length (l) = 5 units, width (w) = 3 units, and height (h) = 3 units.

There are two bases, and their areas are equal:

Base Area = l * w = 5 * 3 = 15 square units

There are also three pairs of lateral faces. The areas of the lateral faces are:

Two faces with dimensions l and h: 2 * (l * h) = 2 * (5 * 3) = 30 square units

Two faces with dimensions w and h: 2 * (w * h) = 2 * (3 * 3) = 18 square units

Now, add the areas of all the faces together:

Surface Area = Base Area * 2 + Lateral Area = 15 * 2 + 30 + 18 = 30 + 30 + 18 = 78 square units

So, the surface area of the prism is 78 square units, which corresponds to option A.

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Answer:

129.6

Step-by-step explanation:

that the answer I got so yea

Answer:

The answer is 18x = 7.2 x = 2.5.

Step-by-step explanation:

If your asking this question from iready then the answer is 18x = 7.2 x = 2.5