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3 years ago

Part B Find the total number of pounds of cheese ordered. A. 11 pounds B. 13 pounds C. 15 pounds D. 17 pounds

1 answer:

7 0

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Find magnitude and directionof vector a = ( -3 , -3 )

nevsk [136]

Answer:

Step-by-step explanation:

Magnitude: |a|= $\sqrt{(-3)^{2}+(-3)^{2} }=3\sqrt{2}$

Direction: in the negative direction of the Ox axe and Oy axe

3 0

2 years ago

An airplane left Atlanta with 20 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?

Lana71 [14]

The answer is 80.
Because
80-75%=20

4 0

3 years ago

Read 2 more answers

In a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99. A nonprofit community health organizatio

Oksi-84 [34.3K]

Answer:

Brand A = 21 heart-rate watches.

Brand B = 13 heart-rate watches.

Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

$A+B=34...(1)$

We have been given that in a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99 and the organization spent $1619.66 for the watches.

We can represent this information in an equation as:

$39.99*A+59.99*B=1619.66...(2)$

We will use substitution method to solve our system of equations.

From equation (1) we will get,

$A=34-B$

Substituting $A=34-B$ in equation(2) we will get,

$39.99*(34-B)+59.99*B=1619.66$

$1359.66-39.99*B+59.99*B=1619.66$

$-39.99*B+59.99*B=1619.66-1359.66$

$20*B=260$

$B=\frac{260}{20}$

$B=13$

Therefore, the organisation purchased 13 heart-rate watches of brand B.

Now let us substitute B=13 in equation (1).

$A+13=34$

$A+13-13=34-13$

$A=21$

Therefore, the organisation purchased 21 heart-rate watches of brand A.

8 0

3 years ago

Let f(x) be a polynomial such that f(cos θ) = cos(4) θ for all θ. Find f(x). (This is essentially the same as finding cos(4) θ i

Galina-37 [17]

Answer:

f(x) = 8x⁴-8x²+1

Step-by-step explanation:

I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties

cos(2a) = cos²(a) - sin²(b)
sin(2a) = 2sin(a)cos(a)
sin²(a) = 1-cos²(a)

cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1

Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result

f(x) = 8x⁴-8x²+1.

5 0

3 years ago

Solve the equation using the Properties of Equality.<br><br> 64 = −3d + 7<br><br> d =

LuckyWell [14K]

Answer:

d = -19

Step-by-step explanation:

64 = -3d + 7

Subtracting 7 on both sides,

64-7 = -3d

57 = -3d

Divide both sides by -3,

d = -19

4 0

3 years ago