Find the slope of the linear function. 12x=-10+2y

There are 4,608 different ways that the class can elect a president, vice president, and secretary.

To find the number of different ways that a class of 18 students can elect a president, vice president, and secretary, we will use the formula for permutations, which is given by -

nPk = n! / (n - k)!

where n is the total number of items and k is the number of items to be selected in a specific order.

In this case, we are given n = 18 students and k = 3 positions.

Thus, the number of different ways to elect a president, vice president, and secretary will be -

18P3 = 18! / (18 - 3)! = 18! / 15! = 18 x 17 x 16 = 4,608

Therefore, there are 4,608 different ways that the class can elect a president, vice president, and secretary.

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The value of x = 50 degrees.

A point where two lines meet produces an angle.

The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.

Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.

By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.

The limbs and the vertex are the two main parts of an angle.

The common terminal of the two beams is the shared vertex.

 ΔABC∼ΔDEF

∠A=∠D

 ,  ∠B=∠E

 &  ∠C=∠F

But given that  ∠A=47∘

 ,  ∠E=83∘=∠B

hence, in  ΔABC

the sum of interior angles must be  180∘

∴∠A+∠B+∠C=180∘

47∘+83∘+∠C=180∘

∠C=180∘−130∘

=50∘

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Answer:

Mistm Demeanor I think.. Hope this helps, tell me if it's incorrect!

Step-by-step explanation:

A police officer can not punish air pollution but can enforce laws and regulations to protect the environment.

Air pollution means the presence of harmful substances in the air that can cause harm to all living beings.

We have,

Air pollution is not a living being so it can not be punished by a police officer.

A police officer or government authorities can enforce laws and regulations to reduce air pollution to protect all living beings and the environment.

Some of the measures are:

- Setting emissions standards for automobile and related industries

- Promoting the use of clean energy resources.

- Encouraging individuals and entities to adopt sustainable practices

Thus,

A police officer can not punish air pollution but can enforce laws and regulations to protect the environment.

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Answer:

Step-by-step explanation:

25% of 94

\( = 94 \times \frac{25}{100} \)

\( = 94 \times \frac{1}{4} \)

= 23.5 (Ans)

Answer:

25% of 94 is 23.5

Step-by-step explanation:

step 1: Convert the problem to an equation using the percentage formula: P% * X = Y.

step 2: take your percent then turn it into a decimal like 10% is 0.10

step 3: then multiply your decimal by your whole number like 0.10 * 65 to get your answer

plz give brain if this helps and is correct thx <(^w^)>

Domain is all the values that go into a function, and the range is all the values that come out.

Answer:

The answer is D

So the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18 is 8/21.

To find the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18, we need to use conditional probability.

Let A be the event that the contestant is wearing tennis shoes and B be the event that the contestant is under 18. We want to find P(A|B), which is the probability of A given B.

From the table, we see that there are 21 contestants under 18 and out of those, 8 are wearing tennis shoes. So:

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

P(A and B) = 8 (number of contestants who are under 18 and wearing tennis shoes)

P(B) = 21 (number of contestants who are under 18)

Therefore,

P(A|B) = 8/21

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Complete question:

ormalik entered his sister into their town's smelly shoe competition. malik observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.

tennis shoes high heels under 182118 or older 52.

what is the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18?

Answer:

14 + 17k

Step-by-step explanation:

k + 1/3(42+48k)

k + {let's distribute here}

      1/3(42+48k)

       42/3 + 48k/3

         14 + 16k

{reinsert into full equation :)}

k + 14 + 16k

14 + k + 16k {combine like terms!!!}

14 + 17k

Answer:

17k+14

Step-by-step explanation:

k+1/3(14+16k) Simplify expression

k+(14+16k) Remove parentheses

k+14+16k Collect like terms

17k+14 Solution

The simplified form of the expression is 8k - 2

Given the following expression below;

(2k + 5) + (6k - 7)

In order to simplify, we will follow the steps

Expand

(2k + 5) + (6k - 7)

2k + 6k + 5. - 7

Simplify

8k - 2

Hence the simplified form of the expression is 8k - 2

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Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish, and Wiktor was 35 m. When Olga finished the race, Wiktor had 22 m to the finish. At what distance was the race held?

Explanation:

Let distance be x meters

Fist statement:

Artur distance = x

Olga =x-15

Wiktor = x-35

Since they are going at constant speed, time is constant for all 3.

Their speed = distance/time

x/t, (x-15)/t, (x-35)/t respectively

Second statement:

Olga distance = x

Wiktor distance = x-22

Their Time is constant:

If it takes (x-15) in t secs,

for x meters will take = xt/(x-15)

Olga and wiktor respectively: xt/(x-15), xt/(x-15) respectively

Their speed:

Speed = distance/time

Olga = (x-15)/t,

Wiktor = (x-22)(x-15)/(xt)

Since speed is constant

Speed for Wiktor in both cases:

(x-35)/t =(x-22)(x-15)/(xt)

x(x-35) =(x-22)(x-15)

x² -35x = x² - 15x -22x +330

-35x = -37x +330

2x = 330

x = 165m

Race held at 165m distance.

Answer:

Step-by-step explanation:

Step 1:

Make a proportion:

10/5 = 22/x

Step 2:

Cross multiply:

10x=22*5

10x=110

Step 3:

Divide by 10 to isolate x:

x=11

Answer:

A van can carry 15 students and a bus can carry 21 students

Step-by-step explanation:

System of Equations

There are separate trips to the water park for which vans and buses were rented. Let's call the variables:

x = number of students that a van can carry

y = number of students that a bus can carry

6 vans and 8 buses were filled with 246 students. This leads to the equation:

6x + 8y = 246

Dividing by 2:

4x + 3y = 123      [1]

4 vans and 8 buses were filled with 228 students. Thus, we form the equation:

4x + 8y = 228     [2]

Subtracting [2] minus [1]:

5y = 228 - 123 = 105

Dividing by 5:

y = 105/5 = 21

y = 21

From [1]:

4x + 3*21 = 123

4x + 63 = 123

Subtracting 63:

4x = 60

Dividing by 4:

x = 60/4 = 15

x = 15

A van can carry 15 students and a bus can carry 21 students

The coefficients of the variables and the constants. \(\[\begin{bmatrix}\phantom{-}700 & -1 & \phantom{-}200 \\\phantom{-}75 & -1 & -5000\end{bmatrix}\]\).

To complete the matrix, we need to fill in the coefficients and constants from the given system of equations:

The given system of equations:

\(\[y &= 700x + 200 \\y &= 5000 - 75x\]\)

To complete the matrix, we'll organize the coefficients of the variables and the constants.

\(\[\begin{bmatrix}\phantom{-}700 & -1 & \phantom{-}200 \\\phantom{-}75 & -1 & -5000\end{bmatrix}\]\)

In the matrix, the coefficients of the variables \(\(x\)\) and \(\(y\)\) are arranged in the first two columns, and the constants are in the third column.

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Answer: 1.58 meters

Step One: Subtract 1 from 3.

3 - 1 = 2.

Step Two: Subtract .42

2 - 0.42 = 1.58

Answer = 1.58

Answer:

she goes through 29 rooms

Step-by-step explanation:

116/4= 29

Answer: \((z+6)(z+14)\)

The six trigonometric functions of t=4π/3 are:

* sin(4π/3) = -√3/2

* cos(4π/3) = -1/2

* tan(4π/3) = √3

* csc(4π/3) = -2/√3

* sec(4π/3) = -2

* cot(4π/3) = -1/√3

The angle 4π/3 is in the third quadrant, so all of the trigonometric functions are negative. The sine function is negative and its maximum value is 1 in the third quadrant, so sin(4π/3) = -√3/2. The cosine function is negative and its minimum value is -1 in the third quadrant, so cos(4π/3) = -1/2. The tangent function is positive and its maximum value is √3 in the third quadrant, so tan(4π/3) = √3. The other trigonometric functions can be evaluated similarly.

**The code to calculate the above:**

```python

import math

def trigonometric_functions(t):

 """Returns the six trigonometric functions of the given angle."""

 sin = math.sin(t)

 cos = math.cos(t)

 tan = math.tan(t)

 csc = 1 / sin

 sec = 1 / cos

 cot = 1 / tan

 return sin, cos, tan, csc, sec, cot

t = 4 * math.pi / 3

sin, cos, tan, csc, sec, cot = trigonometric_functions(t)

print("sin(4π/3) = ", sin)

print("cos(4π/3) = ", cos)

print("tan(4π/3) = ", tan)

print("csc(4π/3) = ", csc)

print("sec(4π/3) = ", sec)

print("cot(4π/3) = ", cot)

```

This code will print the values of the six trigonometric functions of t=4π/3.

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Answer:

Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

Total charge for 12 miles  

=

$

20.75

Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

Mile number 1 costs

$

4.25

The rest of the miles

⇒

(

total miles

−

1

)

×

$

1.50

Putting this all together we have:

$

4.25

+

(

total miles

−

1

)

×

$

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

$

4.25

+

(

m

−

1

)

×

$

1.50

This would be written as:

$

4.25

+

$

1.50

(

m

−

1

)

So

 Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Determine the charge for 12 miles

Total charge

=

$

4.25

+

$

1.50

(

12

−

1

)

Total charge

=

$

4.25

+

$

1.50

(

11

)

Total charge for 12 miles

=

$

4.25

+

$

16.50

=

$

20.75

Hope this helps you...

:)

Answer:

133 miles

Step-by-step explanation:

3.75 + 3 = 6.75

round to 6.80

20 - 6.80 = 13.2

13.2 / 0.1  = 132

132 + 1 the first mile that you payed $3.75

We have that the proportion of people that like dark chocolate more than milk chocolate is 29%, with a margin of error of 1.9%. Then we would have:

then, the absolute value inequality that most looks like this is the following:

Answer: D. X=10 and y= 12

Step-by-step explanation:

Answer:

incomplete question friend

The given function is f(x)=π−x; 0≤x≤2π. f(x)=f(x+π)is given. Also, f(x)= π/2 − π/4∑n=1[infinity] (4/2n -1)cos2nx.This function can be represented in the Fourier series of the function.

The general Fourier series is as follows: f(x) = (a0/2) + ∑n=1[infinity] ancosnx + bnsinnx ... Eq. (1)

According to the formula of the Fourier series, the coefficient an and bn can be found as below:an= (1/π) ∫(π,-π) f(x)cosnxdx andbn= (1/π) ∫(π,-π) f(x)sinnxdx

We are given that f(x)=π−x and 0≤x≤2πSince f(x) is an odd function, there will not be any cosine term in its Fourier series. Therefore, the coefficient an will be zero.

Now, we will find bn by using the above formula. Let us calculate bn separately:bn= (1/π) ∫(π,0) (π−x)sin(nx)dx + (1/π) ∫(2π,π) (π−x)sin(nx)dx

Now, integrate the first integral by using integration by parts. Let u = (π−x) and v' = sin(nx). Thus, v = (-1/n)cos(nx)

Now, the first integral can be written as: ∫ (π,0) (π−x)sin(nx)dx = (-1/n) {(π−x)cos(nx)] from x = 0 to x = π - ∫(π,0) (-cos(nx))dx = (-1/n) {(π−x)cos(nx)] from x = 0 to x = π + (1/n) [{-cos(nx)x} from x = 0 to x = π] = (1/n) [1 - cos(nπ)]

Now, integrate the second integral in the same way. Here, u = (π−x) and v' = sin(nx). Thus, v = (-1/n)cos(nx)

Now, the second integral can be written as: ∫ (2π,π) (π−x)sin(nx)dx = (-1/n) {(π−x)cos(nx)] from x = π to x = 2π - ∫(2π,π) (-cos(nx))dx = (-1/n) {(π−x)cos(nx)] from x = π to x = 2π + (1/n) [{-cos(nx)x} from x = π to x = 2π] = (1/n) [cos(nπ) - 1]

Now, putting the values of bn, an, a0 in the equation (1), we get:f(x) = (π/2) - ∑n=1[infinity] ((4/(2n-1))cos(2nx))

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Answer:I think it's Undefined

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

Positive; 4 (which is the slope) is a positive number

Answer:

202 cm^2

Step-by-step explanation:

SA = 2LW + 2LH + 2WH

SA = 2(4 cm)(5 cm) + 2(4 cm)(9 cm) + 2(5 cm)(9 cm)

SA = 40 cm^2 + 72 cm^2 + 90 cm^2

SA = 202 cm^2

Answer:

p(blue) = 0.2

Step-by-step explanation:

A: "Pick 1 blue marble"

\(n(A)=C^{1}_3\) = 3

n(Ω) = \(C^{1}_{15}\) = 15

p(blue) = n(A)/n(Ω) = 3/15 = 0.2

The probability of selecting a blue marble is 0.20 expressed as a decimal.


To determine the theoretical probability of choosing a blue marble, follow these steps:
 
1. Count the total number of marbles in the bag: 3 blue + 5 red + 7 yellow = 15 marbles.
2. Identify the number of blue marbles: 3 blue marbles.
3. Calculate the probability of choosing a blue marble by dividing the number of blue marbles by the total number of marbles: 3 blue marbles / 15 total marbles.
4. Express this probability as a decimal by dividing 3 by 15: 3 ÷ 15 = 0.2.
5. Round the decimal to the nearest hundredth: 0.2 already falls at the hundredth place.
       
The theoretical probability of choosing a blue marble, expressed as a decimal rounded to the nearest hundredth, is 0.20 or simply 0.2.

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Answer:

384 ft²

Step-by-step explanation:

The volume of the cylinder = π r²h

r = 3 ft

h = 8 ft

Let's solve

3 · 4² · 8 = 384 ft²

So, the volume of this cylinder is 384 ft²

The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.

The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called

A. a cyclical component

B. a trend component.

C. seasonal component.

D. irregular component.

Answer:

answer is A

Step-by-step explanation:

Simply count from place marked 0.

All choices show -4 and 1/2 in the same place.

-2 3/4 can be found by counting 3 down from place marked -2

1 1/4 can be found counting 1 up from place 1 (not marked, but spaced evenly between 0 and 2)

This corresponds with choice A

Answer:

Below

Step-by-step explanation:

6.5 x 10^-9   is the same as  65 x 10^-10    now you can add them together (since the exponents are the same ) to get

69.6 x 10 ^-10  which is   6.96 x 10^-9

The function f(x)=4x³+4x²-x-1 is not a multiple of (2x+1)​.

Here, we have,

given that,

the function is: f(x)=4x³+4x²-x-1

now, we have to check if f(x)=4x³+4x²-x-1 is a multiple of (2x+1)​.

let, f(x)=4x³+4x²-x-1 is a multiple of (2x+1)

then when 4x³+4x²-x-1 in the factored form have (2x+1)

so, we get,

4x³+4x²-x-1

= 4x³+2x² +2x² +2x - x - 1

but, we have,

2x² (2x+1) + 2x (2x+1) - 1 (2x+1)

= 4x³+2x² +2x² +2x - 2x - 1

= (2x+1) (2x² + 2x - 1)

so, we get,

(2x+1) (2x² + 2x - 1) ≠ 4x³+4x²-x-1

i.e. f(x)=4x³+4x²-x-1 is not a multiple of (2x+1)​.

Hence,  f(x)=4x³+4x²-x-1 is not a multiple of (2x+1)​.

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