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3 years ago

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1 answer:

Kamila [148]3 years ago

6 0

Answer:

18n - 5 ≤ -45

Step-by-step explanation:

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target sells tide detergent for $6.75 for 25 fluid ounces. walmart sells tide dergernt for $11.20 for 40 fl.oz. use the unit rat

Aleks [24]

Step-by-step explanation:

the cost per ounce at target would be .2688 and the cost per ounce ot walmart would be .28 so target would be the better buy.

4 0

3 years ago

A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle

lutik1710 [3]

Answer:

$h =26.4$

C is correct Option

Step-by-step explanation:

Let,

Base of the triangle = b = 16

Perpendicular of the triangle = p = 21

Hypotenuse of the triangle= h = ?

According to Pythagoras theorem;

$h^{2} = b^{2} +p^{2}$

$h^{2} = 21^{2} +16^{2}$

$h^{2} =441+256$

$h^{2} =697$

$h =\sqrt{697}$

$h =26.4$

3 0

4 years ago

A population has the following characteristics.(a) A total of 25% of the population survives the first year. Of that 25%, 75% su

zaharov [31]

Answer:

After 1st year, the age distribution will be

$x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

After 2nd year, the age distribution will be

$x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]$

Step-by-step explanation:

A population has the following characteristics.

A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.

The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.

From the above information, we can construct a transition age matrix.

$A = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right]$

The population now consists of 144 members in each of the three age classes.

From the above information, we can construct the current age matrix.

$x = \left[\begin{array}{ccc}144\\144\\144\end{array}\right]$

How many members will there be in each age class in 1 year?

After 1st year, the age distribution will be

$x_1 = A \cdot x$

$x_1 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}144\\144\\144\end{array}\right]$

The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.

$x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

After 2nd year, the age distribution will be

$x_2 = A \cdot x_1$

$x_2 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

$x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]$

4 0

4 years ago

According to Ohm's Law, in an electrical circuit the voltage V (in volts) is related to the current I (in amps) and the resistan

gulaghasi [49]

Answer:

The resistance is decreasing at a rate of 0.36 ohms/minute.

Step-by-step explanation:

The mathematical form of the Ohm's law is given by :

V = IR ...(1)

Where V is voltage, I is current and R is resistance

Given,

I = 5 A

R = 6 ohms

dI/dt = 0.3 A/min

Differentiate equation (1) wrt t:

$\dfrac{dV}{dt}=I\dfrac{dR}{dt}+R\dfrac{dI}{dt}$

When V is constant, dV/dt = 0

$0=5\times \dfrac{dR}{dt}+6\times 0.3\ A/s\\\\1.8=-5\times \dfrac{dR}{dt}\\\\\dfrac{dR}{dt}=-0.36\ \Omega/min$

So, the resistance is decreasing at a rate of 0.36 ohms/minute.

4 0

3 years ago

IF I BUY A BOOK FOR $30. AND ITS MARKED DOWN 20%. HOW MUCH IS IT MARKED DOWN?

nalin [4]

The price would end up being $24
10% of 30 would be $3 then you double it to find 20% so it would end up being $6 off

8 0

3 years ago