Write the fact family for the numbers 15,5 and3

Tems11 [23]

9514 1404 393

Answer:

[-4,3]

Step-by-step explanation:

The domain is the left-right (horizontal) extent of the function. The dots at the end of the continuous line are solid, so the brackets on the interval are square brackets.

The left dot is at x=-4; the right dot is at x=3, so the domain is ...

[-4,3]

4 0

3 years ago

You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 15 km/hr and your

Viefleur [7K]

Answer:

a)

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin (2πt))

b) the foot have to be 3.32 rev/sec faster

Step-by-step explanation:

Given that:

the speed of the bike = 15 km/hr = 15 × 1000/3600 (m/sec) = 4.167 m/sec

radius of the circle when the foot moves = 20 cm = 0.2 m

radius of the circle above the ground = 30 cm = 0.3 m

Let assume that:

x(t) should represent the vector along the horizontal moment

y(t) should be the vector along the vertical moment

The initial component will be ( 0, 0.3)

We know that the radius of the circle is given as 0.2 m, So the vector of the circle can be written as (0.2 cos t , 0.2 sin t )

Also, the foot makes one revolution in a second, definitely the frequency of the revolution = 1 and the vector for the circle is ( 0.2 cos (2πt), -0.2 sin (2πt)), due to the fact that the foot moves clockwise.

Thus, adding all the component together ; we have:

(x(t), y(t)) = (0,0.3)+(4.167 t , 0)+(0.2 cos (2πt), -0.2 sin (2πt))

(x(t), y(t)) = (4.167 t + 0.2 cos (2πt), 0.3 - 0.2 sin (2πt))

Hence; the parametric equations are:

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin (2πt))

b)

The linear speed of rotation is :

15km/hr = 15 × 100, 000/3600 (cm/sec)

= 416.7 cm/sec

The rotational frequency is :

= 416.7/2πr

= 416.7/2(3.14 × 20)

= 3.32 rev/sec

Hence, the foot have to be 3.32 rev/sec faster in rotating if an observer standing at the side of the road sees the light moving backward.

4 0

4 years ago

Read 2 more answers

PLZ HELP/...... :) :?

alexdok [17]

Answer:

3 gallons of diesel weight = 22.2 pounds

The constant of variation = 7.4

The quantities vary directly

Step-by-step explanation:

Given:

5 gallons of gas weights = 37 pounds

To find

a) the weight of 3 gallons of gas.

b) if the quantities vary directly or inversely.

c) the constant of variation.

Solution:

Applying unitary method to find weight of 3 gallons of gas.

If 5 gallons weight = 37 pounds

Then, 1 gallon will weight = $\frac{37}{5}$ =7.4 pounds

Thus, 3 gallons will weight = $3\times 7.4$ = 22.2 pounds

Listing out the data we have:

1 gallon = 7.4 pounds

3 gallons = 22.2 pounds

5 gallons = 37 pounds

From the data, we find out that as the number of gallons of gas increases the weight of gas also increases. This shows that these quantities are directly proportional to each other.

The unit rate of the quantities is called the constant of variation.

Unit rate: 7.4 pounds per gallon

Thus, the constant of variation = 7.4

8 0

3 years ago

Sheri is making 4 pounds of mixed nuts. She will use 1/3 the amount of macadamia nuts as she does almonds.

zaharov [31]

1 pound of macadamia and 3 pounds of almonds

7 0

3 years ago

Read 2 more answers

What are some methods for determining if a polynomial is prime?

ArbitrLikvidat [17]

Answer:

Polinomios irreducibles (primos) Un polinomio con coeficientes enteros que no pueden ser factorizados en polinomios de grado menor, también con coeficientes enteros, es llamado un polinomio irreducible o primo

Step-by-step explanation:

7 0

3 years ago