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1 year ago

What is −1 2/3⋅(−5 1/4)?

Mathematics

1 answer:

frez [133]1 year ago

3 0

Answer:

- 35/4 its the answer from a exact from

Step-by-step explanation:

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Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 prob

Likurg_2 [28]

Answer:

52 minutes

Step-by-step explanation:

it takes him 13 minutes to complete 5 so if he wants to do 20 problems do 20 divided by 5 (4) then do 13 times 4=52

5 0

2 years ago

A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0

3 years ago

An advertising campaign is canceled before launch with probability 0.10, in which case the marketing company is fired with proba

Feliz [49]

Answer:

0.2231 (22.31%)

Step-by-step explanation:

defining the event F = the marketing company is fired, then the probability of being fired is:

P(F)= probability that the advertising campaign is cancelled before lunch * probability that marking department is fired given that the advertising campaign was cancelled before lunch + probability that the advertising campaign is launched but cancelled early * probability that marking department is fired given that the advertising campaign is launched but cancelled early .... (for all the 4 posible scenarios where the marketing department is fired)

thus

P(F) =0.10 * 0.74 + 0.18 * 0.43 + 0.43 * 0.16 + 0.29*0.01 = 0.2231 (22.31%)

then the probability that the marketing department is fired is 0.2231 (22.31%)

7 0

2 years ago

H^2+14h=-31 Solve by completing the square

matrenka [14]

Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.

h² + 14h + (14/2)² = -31 + (14/2)²

Simplify the parenthesis and exponent.

h² + 14h + 7² = -31 + 7²

h² + 14h + 49 = -31 + 49

h² + 14h + 49 = 18

Factor the expression of the left.

(h + 7)(h + 7) = 18

Take the square root of both sides.

√(h + 7)(h + 7) = ± √9 • 2

(h + 7) = ± 3√2

h + 7 = ± 3√2

Subtract 7 from both sides.

You solutions are:

h = -7 + 3√2 → -2.7573 → -2.76

h = -7 - 3√2 → -11.2426 → -11.24

5 0

3 years ago

Read 2 more answers

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of m

madam [21]

Answer:

Step-by-step explanation:

17 x 0.75 =12.75

12.75 + 1.25= 14

3 0

3 years ago