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3 years ago

13

Stacy studies math for 2\4 of an hour per day and science for

1 answer:

sergey [27]3 years ago

7 0

Answer: D

25/6 hours

Step-by-step explanation:

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Write 0.000913 in scientific notation

bogdanovich [222]

$0.000913 = \boxed{\bf{9.13 \times 10^{-4}}}\\\\6.14 \times 10^{-5} =\boxed{\bf{ 0.0000614}}$

6 0

4 years ago

Combine terms to simplify a + 2a +7

Nimfa-mama [501]

Answer:

Step-by-step explanation:

Identify Like Terms: <em>a</em> and <em>2a</em> are like
Combine Like Terms: <em>a + 2a = 3a</em>
Substitute to Form an Expression: <em>3a + 7</em>

Sincerely,

<em>Gigabyte</em>

8 0

2 years ago

In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!

g100num [7]

the real solutions for the equation $x^{3}=-64$ are -

$x=4,2+-2\sqrt{3i}$

Step-by-step explanation:

$x^{3}$ = $- 64$

$x^{3} +64$ = 0

We can write 64 as $4^{3}$

$x^{3}$ + $4^{3}$ = 0

using the identity ( $x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} )$ )

we get,

= $(x+4) (x^{2} -x*4+4^{2} )$

= $(x+4)(x^{2} -4x+16)$ ....................(1)

solving the quadratic equation ,

$x^{2} -4x+16$ =0

solutions of this quadratic equation can be obtained by

$x=-b +- \sqrt{b^{2}-4ac } /2a$

let use y for factors

$x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16} / 2*x^{2}$

$x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}$

$x=4+-\sqrt{16-64}/2$

$x=4+-4\sqrt{3i} /2$

<u /> $x=2+-2\sqrt{3i}$ ..................(2)

from the equation 1 we have,

$x-4=0$

which gives solution $x=4$

and from equation 2 we got $x=2+-2\sqrt{3i}$

so the real solutions for the equation $x^{3}=-64$ are -

$x=4,2+-2\sqrt{3i}$

3 0

3 years ago

A kite on a 100-foot string is fastened to the ground, making a 25° angle with the ground. To the nearest tenth of a foot, how h

lozanna [386]

Answer: 42.3 ft

<u>Step-by-step explanation:</u>

Draw a picture (see attachment)

Given: angle = 25°, hypotenuse = 100, opposite = ???

$\sin\theta=\dfrac{opposite}{hypotenuse}\quad \rightarrow \quad \sin25^o=\dfrac{y}{100}\quad \rightarrow \quad 100\ \sin 25^o=y\\$

$\large\boxed{42.3\ ft}=y$

5 0

3 years ago

What are the steps for 80% of 25

Andrews [41]

Answer:

20

Step-by-step explanation:

25/x=100%/80%

3 0

3 years ago

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