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3 years ago

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?

Mathematics

1 answer:

iragen [17]3 years ago

4 0

Answer:

Step-by-step explanation:

This is because you will have to simply divide 782 by 23.

782 / 23 =

34 :D

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A plane flies the 700 miles from Atlanta to Detroit in 11/4 hours. What is the plane's average air speed, in miles per hour?

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The answer is 15.....

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4 years ago

4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.

Ierofanga [76]

There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have

104 = 8•13

195 = 15•13

so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.

Then the sum we want is

$\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell$

or equivalently,

(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)

To compute these sums, recall the following formula:

$\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2$

Then

$\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950$

and

$\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196$

which means the sum we want is 14,950 - 1,196 = 13,754.

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3 years ago

What is the domain of the square root function graphed below

Lina20 [59]

Answer:

Dominio de una Raíz cuadrada

Cuando tenemos una raíz, para estudiar su existencia debemos saber que una raíz existe si y solo sí el radicando (lo que está dentro de la raíz) sea mayor o igual a cero.

Por lo tanto deberemos estudiar el signo de lo que se encuentra dentro de la raíz; y determinar las zonas positivas y las raíces que son las zona de existencia de la función raíz o dominio de esta función.

Step-by-step explanation:

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3 years ago

Kingston went parasailing in the Maldives to celebrate his graduation from Stanford Medical School. He wanted to find out the le

nata0808 [166]

Answer:

The length of rope is 420 feet.

Step-by-step explanation:

Kingston flew 300 feet above the water.

Perpendicular = 300 feet

The boat driver informed him the angle of elevation from the boat to that height is typically 45.5 degrees

We are supposed tho find the length of the rope i.e. Hypotenuse

$Sin \theta =\frac{Perpendicular}{Hypotenuse}\\Sin 45.5^{\circ} = \frac{300}{Hypotenuse}\\Hypotenuse = \frac{300}{Sin 45.5^{\circ}}\\Hypotenuse = \frac{300}{0.7132}\\Hypotenuse = 420.63$

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