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2 years ago

If 4 + x = −3 + 2x, then 9x =_____?

Mathematics

2 answers:

gayaneshka [121]2 years ago

8 0

Answer:

4+x=-3+2x

4+3=2x-x

7=x

9x=9*7

=63

Step-by-step explanation:

dem82 [27]2 years ago

4 0

Answer:

$4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful$

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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA

professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

$A=45e^{-0.0045(t)}$

a) To find the initial amount of this substance

At t=0, we get

$A=45e^{-0.0045(0)}$ $A=45e^0$

We know that e^0=1 ( anything to the power zero is 1)

we get,

$A=45$

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0

10 months ago

You see Bonnie rock climbing El Capitan. On your telescope is a clinometer. The angle

Marat540 [252]

Answer:

≈ 345.8 ft

Step-by-step explanation:

There is a right triangle formed by Bonnie's height (h) the ground and the angle of elevation.

Using the tangent ratio in the right triangle

tan20° = $\frac{opposite}{adjacent}$ = $\frac{h}{950}$ ( multiply both sides by 950 )

950 × tan20° = h , thus

h ≈ 345.8 ft ( to 1 dec. place )

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3 years ago

A tower made of wooden blocks measures114 feet high. Then a block is added that increases the height of the tower by 8 inches.

WITCHER [35]

It may be 114ft’ 8” or 1376 or 114.7
Explanation: see what options of answers they give you and pick one :)

Hope this helps! ٩( ᐛ )و

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1 year ago

A bag contains four red marbles, two green ones, one lavender one, three yellows, and one orange marble. HINT (See Example 7.] H

Murljashka [212]

Answer: 35

Step-by-step explanation:

Given : A bag contains four red marbles, two green ones, one lavender one, three yellows, and one orange marble.

Total = 4+2+1+3+1=11

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Then, the total marbles(exclude red) =11-4=7

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$^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!3!}=35$

Hence, the number of sets of four marbles include none of the red ones = 35

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2 years ago

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Licemer1 [7]

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3 years ago