Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?

9514 1404 393

Answer:

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

  [tex]\left(\dfrac{a^3b^4}{a^2b}\right)^6= (a^{3-2}b^{4-1})^6 =a^{1\cdot6}b^{3\cdot6}=\boxed{a^6b^{18}}[/tex]

Comparing to the given form, we see x=6, y=18.

Answer:

7

Step-by-step explanation:

2-8÷-2-3-12÷-6×-2

2 - -4 - 3 - 2 x -2

2 + 4 + -3 - -4

6 + -3 + 4

3 + 4

7 :)

Answer:

I this that its the third graph

Answer:

Scale Model of the Great Pyramid

You can build a model of the Great Pyramid, but first you need to scale it down. To do this, you will need to

make the pyramid 3,000 times smaller than it really is! To achieve that, every 30 meters of the pyramid is

represented as 1 centimeter.

Step-by-step explanation:

Answer:  B)-4

Step-by-step explanation:

The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]

Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]

Hence, the solution is : x=-4

The correct option is B.

Answer:

Nah

Step-by-step explanation:

8:20=2:5

1:2 is not equal to 2:5

Answer:

i got -2.093 repeating

Step-by-step explanation:

multiply -2 and 3.14 then divide by - 3 sorry if not right

Answer:

1. 0.0833

2. 0.1

3.  0.1428

4.  0.1333

5. 0.1666

6.  0.0625

Answer:

1) -x+5

2)-w+2

Step-by-step explanation:

2x+5-3x Combine.

-x+5

-(w-2)

-w+2

Answer:

Town C

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

First, Distribute

Then, add 3 to both sides

Then, Divide 15 from both sides

1=Z

Answer:

52

Step-by-step explanation:

Simplify the expression (Steps shown below).

9514 1404 393

Answer:

  BD = 17

Step-by-step explanation:

The Pythagorean theorem can be used twice:

  BC^2 + AC^2 = AB^2

  BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7

__

Likewise, ...

  DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10

Then ...

  BD = BC +DC = 7 + 10

  BD = 17

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

Answer:

243

Step-by-step explanation:

Given that:

Day 1 = 3

Day 2 = 9

After the 2nd day, number of cells continue to triple ;

Day 3 = 9^3

P(t) = 9 * 3^3

P(t) = 9 * 27

= 243

Answer:

D.  x>[4]

Plzzzzz give me Brainliest!!!!!  

Answer:

D. x > 4

Step-by-step explanation:

You have to do the opposite operations to get the variable on one side of the equation by itself.

4 - x + 4 = 8 - 4

x = 4

You only switch the comparison sign if you mutliply or divide by negative numbers when you do opposite operations to get the variable on one side of the equation by itself.

I hope this helps!

Answer:

3 to 1

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

OA' : OA

= 27 : 9 ( divide both parts by 9 )

= 3 : 1

Answer:

119 is the answer

Step-by-step explanation:

use sum of angles on a straight line

Answer:

is the 3 one (119)

Because we all know that (B) is equal to 62 and (AB is 57 and if you add 62 + 57 = 119

Answer:

Her height would be 162.56 centimeters tall.

Step-by-step explanation:

There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.

30.48 x 5 = 152.4

Add the 4 extra inches so 4 inches in centimeters is 10.16

152.4 + 10.16 = 162.56

Answer:

The radius of the hole is 0.24 feet

Step-by-step explanation:

Firstly, we need to convert the miles to feet

Mathematically;

1 mile = 5,280 feet

4.3 miles is thus;

4.3 * 5,280 = 22,704 feet

Mathematically, the volume of a cylinder is;

V = pi * r^2 * h

here, we want to get r

4200 = 3.142 * r^2 * 22,704

r^2 = 4200/(3.142 * 22,704)

r = 0.24 feet

Answer:

Evaluating the piecewise function when X =3, we get f(3) = 7

Step-by-step explanation:

Given the following piecewise function

f(x)= { 2x+1; where x > 0

         -3 when x ≤ 0

Evaluate the function when X = 3

We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0

We can't use -3, because x ≤ 0, and 3 is not less than 0.

Now, evaluating the function:

[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]

So, Evaluating the piecewise function when X =3, we get f(3) = 7

Answer:

x°=96°

y°=88°

z°=151°

Step-by-step explanation:

55°+29°+×°=180°

×°=96°

96°+55°=z°

z°=151

then let variable A° be one of the inner angle of the triangle

A°+z°=180°

A°+151°=180°

A°=29°

finally adding all the inner angles will give us 180°

96°+y°-13°+29=180°

y°=88°

Answer:

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Step-by-step explanation:

1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]

2. Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]

3.Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]

4. Remove parentheses.

[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]

5. Collect like terms.

[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]

6. Simplify.

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Thus. the answer is,

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Answer:

12.87 km

Step-by-step explanation:

searched it up

Answer:

variables

Step-by-step explanation:

variables are constantly variating to contour to the problem it is being used in like in rentals, the variable is the amount of hours rented and the constant is the price it's being rented for

Answer:

???? there's no attachment.

Step-by-step explanation:

Step-by-step explanation:

1st point=(-2,2)x1=-2,y1=2

2nd point=(3,-2)x2=3,y2=-2

slope=y2-y1/x2-x1

According to the question,

slope=-2-2/3-(-2)=-4/5

try the other answer.

Answer:

a. x=2

b. y=5

Step-by-step explanation:

a. 2(11x+7)=58

22x+14=58

x=2

b. 16y+10=90

16y=80

y=5

Answer:

40.

Step-by-step explanation:

5=1/5x-3

8=1/5x

40

Brainliest PLS