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2 years ago

I need help i also need answers

Mathematics

1 answer:

I am Lyosha [343]2 years ago

5 0

Answer:

Step-by-step explanation:

Given Shane hits 5 HRs out of 100 At-bats,

$\frac{x}{460} = \frac{5}{100} \\\frac{x}{460} (460) = \frac{5}{100} (460)\\x = 23$

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A pool company is trying out several new drains. Drai n A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rat

shtirl [24]

108 ÷ 2 = 54 minutes
108 ÷ 5 = 21.6 minutes

8 0

3 years ago

Sketch the domain D bounded by y = x^2, y = (1/2)x^2, and y=6x. Use a change of variables with the map x = uv, y = u^2 (for u ?

cluponka [151]

Under the given transformation, the Jacobian and its determinant are

$\begin{cases}x=uv\\y=u^2\end{cases}\implies J=\begin{bmatrix}v&u\\2u&0\end{bmatrix}\implies|\det J|=2u^2$

so that

$\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\iint_{D'}\frac{2u^2}{u^2}\,\mathrm du\,\mathrm dv=2\iint_{D'}\mathrm du\,\mathrm dv$

where $D'$ is the region $D$ transformed into the $u$ - $v$ plane. The remaining integral is the twice the area of $D'$ .

Now, the integral over $D$ is

$\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\left\{\int_0^6\int_{x^2/2}^{x^2}+\int_6^{12}\int_{x^2/2}^{6x}\right\}\frac{\mathrm dx\,\mathrm dy}y$

but through the given transformation, the boundary of $D'$ is the set of equations,

$\begin{array}{l}y=x^2\implies u^2=u^2v^2\implies v^2=1\implies v=\pm1\\y=\frac{x^2}2\implies u^2=\frac{u^2v^2}2\implies v^2=2\implies v=\pm\sqrt2\\y=6x\implies u^2=6uv\implies u=6v\end{array}$

We require that $u>0$ , and the last equation tells us that we would also need $v>0$ . This means $1\le v\le\sqrt2$ and $0$ , so that the integral over $D'$ is

$\displaystyle2\iint_{D'}\mathrm du\,\mathrm dv=2\int_1^{\sqrt2}\int_0^{6v}\mathrm du\,\mathrm dv=\boxed6$

4 0

3 years ago

Jacob is mixing salt with

77julia77 [94]

The number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, $a \div b = a$ divided in b equal parts.

Also, we can write: $a \div b = a \times \dfrac{1}{b}$

(it is since $a = a times 1 so a/b = 1 \times (a/b) = (1/b) \times a$ )

The given table is:

Tablespoons of salt Cups of water

8 2

16 4

24 6

2 cups of water gets 8 tablespoon of salt.

Then 1 cup of water gets 8/2 = 4 tablespoons of salt. (divided the numbre of cups of water and number of tablespoons of salts in 2 equal parts).

This pattern remains same for other rows of the table, since we have:

1 cup of water gets 8/2 = 16/4 = 24/6 = 4 tablespoons of salt.

Thus, the number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

Learn more about division here:

brainly.com/question/26411682

#SPJ1

4 0

2 years ago

43/50 equals what decimal

snow_lady [41]

43 divided by 50 equals to 0.86

4 0

3 years ago

Dante is standing at horizontal ground level with the base of the Empire State Building in New York City. The angle formed by th

enot [183]

Answer:

C. 1307 ft

Step-by-step explanation:

Given:

Angle = 48.4 degrees

Height, opposite side= 1472 feet

his distance from the Empire State Building, base=x

Now as per the trigonometric ratios:

Tan∅= Opposite/base

tan(48.4)= 1472/x

x=1472/(1.13)

x=1302.65

his distance from the Empire State Building is 1302.65 feet!

4 0

3 years ago

Read 2 more answers