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3 years ago

7

A rock has a mass of 210g and a volume of a 150 cubic centimeter what is the density of The Rock

1 answer:

IgorC [24]3 years ago

7 0

Density=mass/volume
Density=210g/150cm³=1.4g/cm³

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A system of two equations is shown below. What will you need to multiply the

irga5000 [103]

Answer:

the right answer is : -3

Step-by-step explanation:

$\left \{ {{x+y=4} \atop {3x+4y=14}} \right. \\\left \{ {{-3(x+y)=-3*4} \atop {3x+4y=14}} \right. \\\left \{ {{-3x-3y=-12} \atop {3x+4y=14}} \right. \\\left \{ {{-3x-3y+3x+4y=2} \atop {3x+4y=14}} \right. \\\left \{ {{-3y+4y=2} \atop {3x+4y=14}} \right. \\\left \{ {{y=2} \atop {3x+4*2=14}} \right. \\\left \{ {{y=2} \atop {3x=14-8=6}} \right. \\\left \{ {{y=2} \atop {x=\frac{6}{3}=2 }} \right.$

3 0

3 years ago

Locate the point in the complex plane and express the number in polar form.

EleoNora [17]

Answer:

We kindly invite you to see the result in the image attached below.

The number in polar form is $z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}$ .

Step-by-step explanation:

A complex number is represented by elements of the form $a + i\,b$ , for all $a$ , $b$ $\in \mathbb{R}$ . The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.

Now we proceed to present the point on the graph: ( $a = 6$ , $b = 3$ ) We kindly invite you to see the result in the image attached below.

The polar form of the complex number is defined by:

$z = r\cdot e^{i\cdot \theta}$ (1)

Where:

$r$ - Magnitude of the complex number, dimensionless.

$\theta$ - Direction of the complex number, measured in radians.

The magnitude and the direction of the complex number are defined by the following formulas:

Magnitude

$r =\sqrt{a^{2}+b^{2}}$ (2)

Direction

$\theta = \tan^{-1} \frac{b}{a}$ (3)

If we know that $a = 6$ and $b = 3$ , then the polar form of the number is:

$r =\sqrt{6^{2}+3^{2}}$

$r = 3\sqrt{5}$

$\theta = \tan^{-1} \frac{6}{3}$

$\theta \approx 0.352\pi \, rad$

$z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}$

The number in polar form is $z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}$ .

4 0

3 years ago

The cost of the apple is expressed as y = 12x + 6, where x is the number of apples. Find the cost of dozen apples.

astra-53 [7]

Answer:

<h2> 150</h2>

Step-by-step explanation:

x = dozen = 12

12x + 6 = 12•12 + 6 = 144 + 6 = 150

8 0

3 years ago

a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest

Elis [28]

Answer:

<h2>8 years</h2>

Step-by-step explanation:

Given,

Principal (P) = £ 30000

Simple Interest ( I ) = £ 28800

Rate (R) = 12%

Time (t) = ?

Now,

$t = \frac{i \times 100}{p \: \times \: r}$

$= \frac{28800 \times 100}{30000 \times 12}$

$= \frac{2880000}{360000}$

$= 8 \: years$

Hence, It would take 8 years.

Hope this helps...

Good luck on your assignment...

5 0

3 years ago

Stanley has two large books he needs to store in his locker at school. His math book measures 2.5 inches thick × 6 inches long ×

Ket [755]

Answer:

345 cubic inches

Step-by-step explanation:

2.5(6)9 = 135

3(7)10 = 210

135 + 210 = 345

6 0

3 years ago