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3 years ago

If Aniyah can run 6.5 miles per hour, and she runs for 15 minutes, how far did she go?

Mathematics

1 answer:

zhenek [66]3 years ago

3 0

Step-by-step explanation:

PRIMERO CONVIERTES MINUTOS A HORAS

15 MIN = 0.25 h

LUEGO CON LA ECUACIÓN DE GALILEI:

x = 6.5 mi/0.25 h = 26 mi

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Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of

Alex17521 [72]

Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

$2(L+x)=16 \\ \\ \Rightarrow L+x=8 \\ \\ \Rightarrow x=8-L$

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

$L(8 - L) = 8L-L^2$

Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

$dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)$

3 0

3 years ago

An airplane flies 2700 miles to Los Angeles to NYC. When the plane flies back to LA, is it flying in a negative direction? use a

dolphi86 [110]

Answer:

Distance = abs(-1700)

Distance = 1700 miles

Step-by-step explanation:

NYC is located East of Los Angels.

The Airplane flies from Los Angeles to the left direction from NYC.

Which is negative direction.

Therefore, distance = -1700

Here the distance cannot be negative even though if it flies in negative direction.

Therefore, we use the absolute value.

The absolute value of a number is always positive.

So, distace = abs( -1700)

Distance = 1700 miles.

Hope this will help you understand the concept.

Thank you.

5 0

3 years ago

Yes, it is correct

alexgriva [62]

Answer:In Heather's solution to the problem, she wrote and solved an equation.

Her work is:

Step 1: 1.08(x +9.01 +0.98 +5.01) = 21.87

Solving like terms

1.08(x+15}=21.87

dividing both side by 1.08

we get

x+15=21.87/1.08

x+15=20.25

subtracting both side by 13.9198

x=20.25-15

x=5.25

According to correction

;

Option 1st

yes,it is correct

7 0

2 years ago

F(x) = (3x + 6) (x - 3)²

Sever21 [200]

f(x)= 3x³ - 18x +9

Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.

Identity I: (a + b)² = a² + 2ab + b²

Identity II: (a – b)² = a² – 2ab + b²

Identity III: a² – b²= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x² + (a + b) x + ab

Identity V: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Identity VI: (a + b)³ = a³ + b³ + 3ab (a + b)

Identity VII: (a – b)³ = a³ – b³ – 3ab (a – b)

Identity VIII: a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)

f(x) = (3x + 6) (x - 3)²

= ( 3x + 6) ( x - 3 )²

= ( 3x + 6)( x² - 6x + 9)

= 3x( x² - 6x + 9) + 6( x² - 6x + 9)

= 3x³ - 6x² + 18x + 6x² - 36x +9

= 3x³ - 18x +9

To learn more about algebraic expansions, refer to brainly.com/question/4344214

#SPJ9

5 0

1 year ago

Mark has a bushel of apples which weighs 48 pounds. He wants to make some apple pies. If each apple pie requires 2.5 pounds of a

mixas84 [53]

This is easy, all you need to do is divide 48/2.5 and you have your answer.

3 0

3 years ago