Which expression gives the distance between the points
(1,-2) and (2, 4)?
A. (1+2) +(2-4)
O B. (1-2)2+(-2 - 4)
C. (1+2) +(2-4)
O D. (1-2) +(-2-4)
SUBMIT

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

Answer:

Area ≈ 20 square units

Step-by-step explanation:

Using Distance Formula to Find the lengths

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Length XY:

=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]

=> [tex]\sqrt{25}[/tex]

=> 5 units

Length YZ:

=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]

=> [tex]\sqrt{64}[/tex]

=> 8 units

Length ZX:

=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]

=> [tex]\sqrt{89}[/tex]

=> 9.4

Perimeter:

=> 5+8+9.4

=> 22.4

Semi-Perimeter:

=> 11.2

Using Heron's Formula to find the area:

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is semi perimeter and a,b and c are side lengths

=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]

=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]

=> Area = [tex]\sqrt{399.9}[/tex]

=> Area = 19.99

=> Area ≈ 20 square units

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept of the rational function is (0, −2).

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y=-1/2x + 1/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -1/2 and the y intercept is 1/4

Answer:

g(x)= x^2+10x + 24.

Step-by-step explanation:

g(x) = (x + 5)^2 −1

= x^2 + 5x + 5x + 25 - 1

= x^2 + 10x + 24

g(x)= x^2+10x + 24 is your answer.

Hope this helps!

Answer:

the answer is g(x)=x^2+10x+24.

Step-by-step explanation:

here,

=(x+5)^2_1 (as (a+b)=a^2+ab+b^2)

=x^2+10x+25_1

=x^2+10x+24... is answer

hope its helpful to uh..

Answer:

35 (b)

Step-by-step explanation:

Area of a triangle = (height times base)/2

Height = 5

Base = 14

14 times 5 = 70

70/2 = 35

Answer:

it was b ) 35 units

Step-by-step explanation:

cuz 5*14 you got 70

then when is a triangle you have to do 70 divide by half

so you will got you answer which is b)35 units

hope it helps

Answer:

[tex]y=-6[/tex].

Step-by-step explanation:

If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .

In the given question, it is clear that the horizontal line passing through the point (4,-6).

Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].

Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is

[tex]y=-6[/tex]

Hence, the equation of horizontal line is [tex]y=-6[/tex].

Answer:

The ordered pair (e₁, e₂) is (6, 8).

Step-by-step explanation:

Consider the pathway attached below.

It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.

    e₁ :    1              3             5              7        ...

P (e₁) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 1 is:

[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]

The sum series e₁ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₁ is:

[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]

It is provided that Fred always moves to 1 if he at step 2.

    e₂ :    2             4             6              8        ...

P (e₂) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 2 is:

[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]

The sum series e₂ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₂ is:

[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]

Thus, the ordered pair (e₁, e₂) is (6, 8).

Answer:

(3, 4)

Step-by-step explanation:

For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.

[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]

This equation eventually equals to 3, so e_1 is equal to 3.

For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.  

Answer:

2.8

Step-by-step explanation:

√(-√2-1)²+(0-√2)²

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Answer:

Step-by-step explanation:

6j + 7 = 21 - j

Add 'j' to both sides

6j + 7 + j = 21 - j +j

7j + 7 = 21

Subtract 7 form both sides

7j + 7 - 7 = 21 - 7

7j  = 14

Divide both sides by 7

7j/7 = 14/7

j = 2

Answer:

j = 2

Step-by-step explanation:

6j + 7 = 21 - j

6j + j = 21 - 7

7j = 14

j = 14/7

j = 2

Answer:

Option C.

Step-by-step explanation:

Let [tex]a_1x+b_1y+c_1=0[/tex] and [tex]a_2x+b_2y+c_2=0[/tex] are two line.

If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], then system of equations have infinite number of solutions.

If  [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then system of equations have no solution.

If [tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex], then system of equations have unique solution.

The given equations are

[tex]2x-y=7[/tex]

[tex]y=2x+3[/tex]

These equations can be rewritten as

[tex]2x-y-7=0[/tex]

[tex]2x-y+3=0[/tex]

Here, [tex]a_1=2,b_1=-1,c_1=-7,a_2=2,b_2=-1,c_2=3[/tex].

[tex]\dfrac{a_1}{a_2}=\dfrac{2}{2}=1[/tex]

[tex]\dfrac{b_1}{b_2}=\dfrac{-1}{-1}=1[/tex]

[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{3}[/tex]

Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], therefore, the system of equations have no solution.

Hence, option C is correct.

Answer:

ANSWER: C

Step-by-step explanation:

Answer: The number of different ways (orders) she can add these fruits to her blender = 24

Step-by-step explanation:

Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.

i.e. Total fruits = 4

The number of ways to order n things = n!

Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!

= 4 x 3 x 2 x 1

= 24

Hence, the number of different ways (orders) she can add these fruits to her blender = 24

Answer:

the correct answere is actully 120 ways.

Step-by-step explanation:

Answer:

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Step-by-step explanation:

Step(i):-

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]

Step(ii):-

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]

[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

Step(iii):-

General solution of  cos x = cos ∝  is  x = 2 nπ+∝

we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

The general solution of  [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is

⇒  [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]

⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]

 [tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]

final answer:-

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt{9} = 3[/tex]

so between 2 and 3

you can say:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

2.8

2.9

2.22

2.1875838

2.7583883

The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.

The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).

In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:

t = -b / 2a

t = -240 / (2 * -16)

t = -240 / -32

t = 7.5

Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.

Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Answer:

B. y = 3x

Step-by-step explanation:

Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.

Answer:

the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

x ≥ $17, 500

Step-by-step explanation:

To find the cost of the next year model, we will follow the steps below;

Let x be the value of next year's model

$14000 ≤ 80% of  x

80% of  x ≥  $14000

80% × x ≥$14000

80x/100    ≥  $14000

multiply both-side of the equation by 100

80x ≥  $1400000

Divide both-side of the inequality by 80

80x /80 ≥ $1400000 / 80

x ≥ $17, 500

Therefore the cost of next year's model is

x≥$17, 500

Answer:

The standard form of this slope-intercept form is x + 4y = 16.

Answer:

x + 4y =16

Step-by-step explanation:

[tex]y= \frac{-1}{4}x+4[/tex]

Multiply by 4

[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]

4y = -x + 16

x + 4y =16

Answer:  you need to have a line graph

stay safe

Answer:

Step-by-step explanation:

its a

Answer:

B

Step-by-step explanation:

Use FOIL method

3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)

Simplify to get 15 x^{2} -6x+15x-6  

Combine like terms to get 15x^2+9x-6

quadratic funcntion

quadratic term: 15x^2  

linear term: 9x

constant: -6

(sorry this was late I had other work and I didn't see this until now)

please mark me brainliest!

Answer:

2205/17576

Step-by-step explanation:

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

Return the card

26 cards

5 vowels , 21 consonants

P ( vowel) = vowel/total= 5/26

Return the card

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26

2205/17576

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Answer:

The derivative of that product of functions evaluated at the point x=-2 gives "-3"

Step-by-step explanation:

Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:

(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]

So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2

therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2  to obtain the answer:

[tex](x^2 + 3x -1)'=2x+3\\ \\(- x^2- 3x -2)'=-2x-3[/tex]

Now, applying the product rule for those two trinomial functions, we get:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]

which at x = -2 becomes:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)\\(2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)= -3[/tex]

Disability insurance is generally provided by the employers to the employee

Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.

Generally the employers provide Disability insurance to their employees .

An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .

A railway employee is given a  Disability insurance cover and many other normal companies also provide  Disability insurance.

Hence Option B  Disability insurance is the correct answer.

To know more about Insurance Coverage

https://brainly.com/question/15702391

#SPJ5

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation: