rationalise the denominator of 2sq3+3sq2/4sq3+sq2​

Given:

The probability of drawing a red candy at random from a bag of 25 candies is [tex]\dfrac{2}{5}[/tex].

To find:

The probability of randomly drawing a red candy from the bag after removing 5 candies from the bag.

Solution:

Let n be the number of red candies in the bag. Then, the probability of getting a red candy is:

[tex]P(Red)=\dfrac{\text{Number of red candies}}{\text{Total candies}}[/tex]

[tex]\dfrac{2}{5}=\dfrac{n}{25}[/tex]

[tex]\dfrac{2}{5}\times 25=n[/tex]

[tex]10=n[/tex]

After removing the 5 candies from the bag, the number of remaining candies is [tex]25-5=20[/tex] and the number of remaining red candies is [tex]10-5=5[/tex].

Now, the probability of randomly drawing a red candy from the bag is:

[tex]P(Red)=\dfrac{5}{20}[/tex]

[tex]P(Red)=\dfrac{1}{4}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{4}[/tex].

Answer:

Equivaldría a 45.9 litros de leche de vaca.

Step-by-step explanation:

Esta pregunta se resuelve por proporciones, usando una regla de tres.

Un litro de leche de búfala equivale a 1.7 litros de leche de vaca.

27 litros de leche de buffalo - x litros de leche de cava

1 - 1.7

Aplicando multiplicación cruzada :

[tex]x = 27*1.7 = 45.9[/tex]

Equivaldría a 45.9 litros de leche de vaca.

I am trying to simplify a difference quotient with the form

f(x+h)−f(h)/h

if f(x)=2/x2 I have attempted to cancel out the denominator of the numerator by the least common denominator method. I know that I can solve this using implicit differentiation, but am trying to use the difference quotient to get the partial derivative

Here is my work so far:

f(x+h)−f(x)(h)

=f(2/(x+h)2)−f(2/x2)h

=(2/(x+h)2)−(2/x2)h

here I multiply by the LCD

=(2(x2)−2(x+h)2)/(x2(x+h)2)h

Here I expand out the top and cancel out 2x2

=(2x2−(2x2+4xh+2h2))/(x2(x+h)2)h

=−(4xh+2h2)/(x2(x+h)2))h

Here I think I should multiply by 1/h to get rid of the h on the bottom

I end up with:

=4xh+2h2hx2(x+h)2

factor out an h

=−4x+2hx2(x+h)2

The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

from the given information, we get,

Plan A:   y = .2x + 75

Plan B:   y = .35x

Find an xy pair that satisfies both (intersection)

Substitute Plan B's y for Plan A

.35x = .2x + 75

.35x - .2x = 75

.15x = 75

x = 500

Hence, The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

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Answer: it wll be thursday at 7:30PM

The answer is B

Eplanation:

V = pi * r² * (h/3)

Then from here you just make h the subject of the formula:

h = (V * 3)/(pi * r²)

h = (393*3)/[3.14* (10/2)²]

h = 15.01910828 ft

which is rounded to 15 ft...B

:)

Answer:

x=3 and y=4

Step-by-step explanation:

please verify the answer

Answer:

x = 20

Step-by-step explanation:

c^2 = a^2 + b^2

a = 12

b = 16

c = ?

c^2 = 12^2 + 16^2

c^2 = 144 + 256

c^2 = 400

sqrt(c^2) = sqrt(400)

c = 20

Question isn't well formatted, a picture if the question is attached below.

Answer:

1 / 4

Step-by-step explanation:

From the plot, each dot represent a gamer ; therefore, the total number of gamers will be counting all the dots ;

Total number of gamers = 24

Fraction of gamers that have 7 / 8 of the way to go ;

This means that they have 7/8 of the way left to proceed to next level ;

The fraction is : 1 - 7/8 = 1 /8

This means the number of of people whose progress are on 1/8 ; this is 6

Hence, fraction of gamers that have 7/8 of the way to go :

6 / 24 = 1 / 4

Answer:

56 m³

Step-by-step explanation:

Base area = 8×6/2 = 24 m²

Height = 7 m

Volume = 24×7/3

= 56 m³

Answered by GAUTHMATH

Answer:

9²+x²=13²

81+x²=169

x²= 169-81

x²=88

X= 9.38

[tex]x = \sqrt{88} [/tex]

Answer:

due to not much information given and the way you ask the question I would definitely say no

Answer:

Yes you would have enough!

Step-by-step explanation:

Simply multiply .50 by 37 and that gives you 18.5!

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]

Option A is correct -

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]

We have a sequence : –3, 9, –27, 81, . . . .

We have to find the recursive formula for this sequence.

The formula to find the recursive of geometric sequence is -

[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]

We have the following sequence -

–3, 9, –27, 81, . . . .

First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -

[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]

Hence, it is a geometric sequence with r = -3.

Substituting the value of r in the formula of recursive, we get -

[tex]a_{n} = -3a_{n-1}[/tex]    and      [tex]a(1)=-3[/tex]

Hence, Option A is correct.

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Hey there!

We know that Danielle earns $10 per hour, so muliply that by 3 and get 30.

Because Danielle works an extra half an hour, divide 10 by 2 and get 5.

Danielle earns $35 in 3 hours and a half.

Hope this helps! Please mark me as brainliest!

Have a wonderful day :)

Answer:

100,000 days

Step-by-step explanation:

1,000,000 / 10 = 100,000 days.

Answer:

66%

bcz out of 3 stuff in 100% is 66%

Answer:

The answer would be (x-5, y-5)

Step-by-step explanation:

You can find this out by finding the difference between D(3,5) and D'(-2,1) (pr any other coordinate) which is -5 in both the x and y coordinates making the answer (x-5, y-5).

Answer:

d = 450 ft

Step-by-step explanation:

Hi there!

First, we can find the angle in the triangle at the point of the helicopter, the angle opposite [tex]d[/tex]. Subtract 48° from 90°:

90-48=42

Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for [tex]d[/tex] by using the tangent ratio:

[tex]tan\theta=\displaystyle \frac{opposite}{adjacent}[/tex]

Replace θ with 42°, "opposite" with [tex]d[/tex], and "adjacent" with 500 ft:

[tex]tan(42)=\displaystyle \frac{d}{500}[/tex]

Multiply both sides by 500 to isolate [tex]d[/tex]:

[tex]500*tan(42)=d\\450=d[/tex]

Therefore, d = 450 ft when rounded to the nearest whole number.

I hope this helps!

Answer : -5a² + 10a

It was way easy ikr ~w~

Answer:

-5a2+10a

Step-by-step explanation:

distribute

-5a(a-2)

-5a2+ 10

Answer:

Hence the correct answer is Add 8x to both sides of the inequality.

Step-by-step explanation:

Step 1: Subtract 3 from both sides of the inequality.

Step 2: Add 8x to both sides of the inequality.

Step 3: Divide both sides of the inequality by the coefficient of x.

The inequality  

5 - 8x < 2x + 3.

yfd sat fltfurjbhviccyvihkjobkb 47 I have

Answer:

see below

Step-by-step explanation:

11a   -2(x^2 -3)

Distribute

-2*x^2 -2(-3)

-2x^2 +6

11b  2x(x+4)

 Distribute

2x*x +2x*4

2x^2 +8x

12 The perimeter is the sum of all sides

The top is equal to the bottom and the left side is equal to the right

x-10 + x+20+x-10+x+20

Combine like terms

4x +20

Answer:

y= 3x+8

Step-by-step explanation:

not a 100% sure...

sry if its wrong

(try using Math-way, its rly helpful)

Answer:

Step-by-step explanation:

y=mx+b

To find slope: -4+1/-4+3

Slope=3

y=3x+b

Plug in either points ,as an example, i'll plug in (-3,-1)

-1=3(-3)+b

-1=-9+b

8=b

Finished formula: y=3x+8

Step-by-step explanation:

To evaluate such, the following must be comprehended, on the behalf of linear data:

Slope: Rise/Run.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Recall:

Slope-Intercept Form is acknowledged and defined as the integration of the intersection point, in relation or in proportion to the distance between two points within the linear data presented on the Cartesian Plane.

Slope-Intercept Form:

Y = mx + b

Y = The line.

M = Slope.

B = y-intercept.

The following may be equated, as stated:

- Slope = 0

Y = b

- Y-intercept = 7

Y = 7

Thus, on the Cartesian Plane is identified as a horizontal line positioned within quadrants I and II, intersection (0, 7).

The ordered pair are (-5/3, 0) and (0, 5)

Given the equation y = 3x + 5

To get the ordered pair of the equation, we will find the x and y-intercept

The x-intercept of the equation occur at y = 0

0 = 3x + 5

-3x = 5

x = -5/3

Hence the ordered pair of the solution is (-5/3, 0)

The y-intercept of the equation occur at x = 0

y = 3(0) + 5

y = 0 + 5

y = 5

Hence the ordered pair of the solution is (0, 5)

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Answer:

x=45°

Does the answer help you?

Answer:

1/8

Step-by-step explanation:

f^-1 part makes it into a fraction