a swim team consists of seven boys and four girls a relay team of four swimmers is chosen at random from the team members what is the probability that two boys are selected for the relay team given that the first two selections were girls

Answer:

Start are cooler when in the color Red.

Step-by-step explanation:

Answer:

the answer would be red

Step-by-step explanation:

Answer:

15x^3+26x^2-3x+42

Step-by-step explanation:

(3x+7)(5x^2-3x+6)

15x^3-9x^2+18x+35x^2-21x+42

15x^3-9x^2+35x^2+18x-21x+42

15x^3+26x^2-3x+42

Answer:

15x³ + 26x² - 3x + 42

Step-by-step explanation:

Hi there!

We are given the polynomials 3x+7 and 5x²-3x+6

We want to multiply them together

(3x+7)(5x²-3x+6)

To that, we need to distribute each term of the binomials to each other, and then add them together.

What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.

So, let's first start by multiplying 3x by everything:

3x * 5x² = 15x³

3x * -3x = -9x²

3x * 6 = 18x

Add them together: 15x³ + -9x² + 18x

Now with 7:
7 * 5x²  = 35x²

7 * -3x = -21x

7 * 6 = 42

Add them together: 35x² + -21x + 42

Now add  15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42

Combine like terms:

15x³ + 26x² - 3x + 42

Hope this helps!

Answer:

AB = 13 meters

Step-by-step explanation:

AB is congruent to AC and AC is 13 meters so that's what AB would be

mark as brainliest please :)

Answer:

80 years

Step-by-step explanation:

(.025)*n = 2     solve for n  

I assume the integral is

[tex]\displaystyle \int x^3 e^{-x} \, dx[/tex]

Integrate by parts with

[tex]u = x^3 \implies du = 3x^2 \, dx[/tex]

[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]

so that

[tex]\displaystyle \int u \, dv = uv - \int v \, du[/tex]

i.e.

[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \int x^2 e^{-x} \, dx[/tex]

Integrate by parts again, this time with

[tex]u = x^2 \implies du = 2x \, dx[/tex]

[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]

and so

[tex]\displaystyle \int x^2 e^{-x} \, dx = -x^2 e^{-x} + 2 \int x e^{-x} \, dx[/tex]

[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \left(-x^2 e^{-x} + 2 \int x e^{-x} \, dx\right)[/tex]

[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \int x e^{-x} \, dx[/tex]

Once more, with

[tex]u = x \implies du = dx[/tex]

[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]

[tex]\displaystyle \int x e^{-x} \, dx = -xe^{-x} + \int e^{-x} \, dx[/tex]

[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \left(-xe^{-x} + \int e^{-x} \, dx\right)[/tex]

[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} + 6 \int e^{-x} \, dx[/tex]

Finally,

[tex]\displaystyle \int e^{-x} \, dx = -e^{-x} + C[/tex]

and so

[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} - 6 e^{-x} + C[/tex]

or equivalently,

[tex]\displaystyle \int x^3 e^{-x} \, dx = \boxed{-(x^3+3x^2+6x+6) e^{-x} + C}[/tex]

We can also approach the integral more generally by considering

[tex]I_n = \displaystyle \int x^n e^{-x} \, dx[/tex]

Integrate by parts with

[tex]u = x^n \implies du = nx^{n-1} \, dx[/tex]

[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]

Then

[tex]\displaystyle I_n = -x^n e^{-x} + n \int x^{n-1} e^{-x} \, dx = -x^n e^{-x} + n I_{n-1}[/tex]

We can solve the recurrence using the initial "value" [tex]I_0 = -e^{-x}+C[/tex] to find a general formula for [tex]I_n[/tex]. Then we get the integral we want [tex]I_3[/tex] "for free".

Answer: 29.88

Step-by-step explanation: if 5 pounds = $12.45,

                                             then 12 pounds = x

Therefore, Cross-multiply

5 x = 12 (12.45)

5x=149.4

x=149.4/5

x=29.88

Answer:

Step-by-step explanation:

Equation

Cost = k*weight

Givens

weight = 5 pounds

Cost = 12.45

12 pounds

Find k

Cost = k*weight

cost = 12.45

weigh = 5 pounds          Substitute these values into the equation

12.45 = k * 5                    Divide by 5

12.45 /5 = k*5/5

2.49 = k

Solve for 12 pounds

Cost = 2.49 * 12

Cost = 29.88

Answer

Cost = 29.88

Step-by-step explanation:

lets say the first is x and the second is y then we can say

x+y=55 ......1

x-y= -1 .......2

by adding 1 with 2 then

x+y+x-y=55+(-1)

==> 2x= 55-1=54

==> x= 54/2=28

if we put x=28 in the 2nd equation then

28-y= -1

==> y=29

Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

a. Consumption

Private S = ( Y – T – C )

C = Y - T - Private S

C = $12 - $3.6 - $1.5 =$6.9 trillion

b. Government purchases

Public S = ( T - G )          

G = T - Public S                                                        

G = $12 - $0.8

G = $11.2 trillion

c and d. National saving and investment

National savings = Public S + Private S

National savings = $0.8 + $1.5

National savings =$2.3 trillion

Investment=Savings=$2.3 trillion

Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

Learn more about GDP here:https://brainly.com/question/1383956

Answer:

143/28 or -185/28

Step-by-step explanation:

Negative case

-(x+3/4))=(41/7)

-x-(3/4)=(41/7)

-x=(185/28)

x=-(185/28)

Positive case

(x+(3/4))=(41/7)

x=(143/28)

lol this was easy r u sure its 6 grade?

Answer:

143/28 or -185/28

Answer:

At this point, you have walked 17/24 miles in all.

Hope this helps

Answer:

[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]

Step-by-step explanation:

[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]

Answer:

120 students did not buys a snack :)

Step-by-step explanation:

The easiest way to do this is divide :)

Now lets solve!!

180/6 = 30

Now we multiply!!

30 x 4 = 120

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

Substitute and solve for x:

Find the value of ∠BYL:

This is matching the answer option B.

The red angles must be equal as YL is bisector

<BYL

Option B

Answer:

I dont know i think its 5

Step-by-step explanation:

Answer:

4 :)

Step-by-step explanation:

Answer:

  (d)  (x + 1)^2 + (y - 4)^2 = 25

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

__

Circle A has its center at point A, so the left side of this equation will look like ...

  (x -(-1))² +(y -4)² = r² . . . . . . using (h, k) = (-1, 4)

where r is the length of segment AC. One way to find the value of r² is to use point C for (x, y):

  (-5 +1)² +(1 -4)² = r²

  16 +9 = r² = 25

Then the equation of the circle is ...

  (x +1)² +(y -4)² = 25

Answer:

10,560

Step-by-step explanation:

8 x 1/4 --> 8/1 x 1/4

= 8/4 or 2

5,280 x 2 = 10,560

Equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1

An expression is combination of variables, numbers and operators.

The given expression  is 36x+9

Thirty six times of x plus nine.

In the expression x is the variable and plus is the operator.

Equivalent expressions are expressions that work the same even though they look different.

The equivalent expression of  36x+9 are 9(4x+1)

and 9.4x +(9.1) we get this factoring the expression.

Now the other expression is 36x-9

Thirty six times of x minus nine.

Minus is the operator in the expression.

The equivalent expressions are 9(4x-1) and 9.4x-(9.1)

Hence,  equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)

To learn more on Expressions click:

https://brainly.com/question/14083225

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Mr. Blue' salary is an illustration of a geometric sequence

Mr. Blue's salary is a geometric sequence with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1 * r^(n - 1)

This gives

an = 30000 * 2^(n - 1)

The common ratio is calculated as:

r = an+1/an

Substitute 2 for r

2 = an+1/an

Cross multiply

an+1 = 2an

Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000

Read more about arithmetic sequence at:

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Answer:

x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Step-by-step explanation:

Solve for x over the real numbers:

3 x^2 + 2 x - 6 = 0

Using the quadratic formula, solve for x.

x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:

x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6

Simplify radicals.

sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):

x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).

Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):

x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:

x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).

Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):

x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))

In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:

Answer:  x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Answer:

10 meters

Step-by-step explanation:

180° arc makes semi circle then it's diameter equal to its arc .

Answer:

D 10%

Step-by-step explanation:

Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Initially, researching the problem on the internet, it is found that the market is at position (3,8).

Then, it was shifted 2 units left and 3 units down, hence the new position is given by:

(3 - 2, 8 - 3) = (1,5).

His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

More can be learned about translation concepts at https://brainly.com/question/4521517

Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation: