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3 years ago

Solve -12 = z ÷ 3 for z.

Mathematics

2 answers:

Tasya [4]3 years ago

6 0

Answer:

z=−36

Step-by-step explanation:

Andrew [12]3 years ago

3 0

Answer:

-4 i think

Step-by-step explanation:

divide -12 by 3 to get -4

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A cricket bat weighs 42 oz. together, two cricket balls and a cricket bat weigh the same as eight cricket balls plus 9 oz. how m

lutik1710 [3]

8x + 9 = 42
8x +(9-9)=42-9
8x=33
8x/8=33/8
4.125oz

4 0

4 years ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

6 0

2 years ago

A baker needs

Makovka662 [10]

Answer:

Step-by-step explanation:

The Baker needs 18 eggs to make 6 dozen.

He also uses 24 eggs to make 8 dozen

18/6=3

24/8=3

So,1 dozen=1×3=3

5 0

2 years ago

The relative growth rate for a certain type of mutual fund is 15% per year. An account is opened with a balance of $3,000. How m

grigory [225]

A=3,000×(1+0.15)^(5)
A=6,034.07

3 0

4 years ago

The Elsie Dairy uses a machine that fills 28 cartons of milk an hour. How many will be filled in 6.5 hours?

AveGali [126]

Answer:

About 182 cartons will be filled in 6.5 hours.

Step-by-step explanation:

Multiply 6.5 by 28 to get 182

7 0

3 years ago

Read 2 more answers