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larisa [96]
3 years ago
12

A pile of 15 boxes is 3 metres high. What is the depth of each box?

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0
200mm is the right answer
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The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).
Alex17521 [72]

Answer:

64

Step-by-step explanation:

<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have h'(t) = -32t + 48, which equals zero when t = 3/2 = 1.5. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

5 0
2 years ago
Este curso nuestro instituto tiene 473 alumnos. Si nos dicen que respecto al curso anterior se ha producido un aumento de inscri
tester [92]

Answer:

En el curso anterior había 430 alumnos.

Step-by-step explanation:

El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:

x + 0.1*x= 473

Resolviendo se obtiene:

1.1*x=473

x= 473 ÷1.1

x= 430

<u><em>En el curso anterior había 430 alumnos.</em></u>

7 0
3 years ago
Distribute -2(6x^2+6)
BabaBlast [244]

Answer:

-12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the compound interest of 10400 at 12.7% for 4 year
Naddik [55]

The Compound Interest of 10400 at 12.7% for 4 years is 6378.

The principal amount is given as 10400.

The rate of interest is given as 12.7%.

The time period to be calculated is given as 4 years.

The compound interest for the given above is to be calculated.

<h3>What is compound interest?</h3>

Compound interest is the interest that we earn both on the principal amount and the interest we earn.

The formula used to calculate compound interest is:                                  

   P [ (1 + \frac{R}{100} )^n - 1 ]

Where P = principal amount, R = rate of interest, and n = number of years.

We have,

P = 10400

R = 12.7%

n = 4 years

Compound interest:

P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]

Now,

10400 [ ( 1 + 0.12.7 )^2 - 1 ]

10400 [ 1.127^4 - 1 ]

10400 [ 1.61322 - 1 ]

10400 x 0.6132

6377.56

Rounding to the nearest whole number.

We have,

Compound Interest = 6378.

Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.

Learn more about Compound Interest here:

brainly.com/question/13155407

#SPJ1

8 0
1 year ago
HELP PLS ASAP!!
DedPeter [7]

Answer:

cos^(-1)(12/13) = 22.62°

Step-by-step explanation:

Inverse trig functions are used to find angles. I was taught SOH CAH TOA: sine = opposite/hypotenuse, cosine = adjacent / hypotenuse, tan = opposite / adjacent.

Here, we have an adjacent side length and the hypotenuse. So we use inverse cosine.

4 0
2 years ago
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