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fgiga [73]
3 years ago
13

Which option please I need help ASAP reply ASAP

Mathematics
2 answers:
IrinaK [193]3 years ago
8 0

Answer:

The answer is probably c

Step-by-step explanation:

its deducted by the x axis

Dafna1 [17]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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I am not usre what the answer could be
lakkis [162]

Answer:

x \le 5

Step-by-step explanation:

Given

Shape: Cube

Dimensions: x, 3x and 2x

Volume < 900

Required

Show that x \le 5

First, calculate the volume

Volume = x * 3x * 2x

Volume = 6x^3

Volume < 900 becomes

6x^3 < 900

Divide both sides by 9

x^3 < 150

For x^3 < 150, the value of x as to be: 1, 2, 3, 4 or 5

Hence:

x \le 5

3 0
3 years ago
The number of research articles in a prominent journal written by researchers during 1983–2003 can be approximated by U(t) = 4.1
Nimfa-mama [501]

Answer:

Step-by-step explanation:

From the information given:

We are to find; an expression for the total no. of articles written since 1983

∴

The total no. of articles written since 1983  =\int \limts ^t_0 U(t) dt

= \int ^t_0 \limits \dfrac{4.1 e^{0.6\ t}}{0.2+e^{0.6t}} \  dt

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | 0.2 + e^{0.6 x} \bigg| \bigg]^t_0

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | 0.2 + e^{0.6 x} \bigg| - \mathtt{In} \bigg|0.2+1\bigg|\bigg]

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | \dfrac{0.2 + e^{0.6 x}}{1.2} \bigg|\bigg]

=\dfrac{41}{6} \mathtt{In} \bigg | {0.2 + e^{0.6 x} \bigg|-\dfrac{41}{6} \mathtt{ In} \bigg | 1.2\bigg |

=6.833\times \mathtt{In} \bigg | {0.2 + e^{0.6 x} \bigg|-1.2458

=6.833\times \mathtt{In} \bigg | {0.2 + e^{0.6 x} \bigg|-1.25 \ \mathbf{thousand \ articles}

Therefore, the total number of articles written since 1983 is  =6.833\times \mathtt{In} \bigg | {0.2 + e^{0.6 x} \bigg|-1.25 \ \mathbf{thousand \ articles}

b. To find how many articles were being written  from 1983 to 2003

i.e. t = 2003 - 1983 = 20

∴

Total articles written from 1983 to  2003 is =\int \limts ^{20}_0 U(t) dt

= \int ^{20}_0 \limits \dfrac{4.1 e^{0.6\ t}}{0.2+e^{0.6t}} \  dt

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | 0.2 + e^{0.6 x} \bigg| \bigg]^{20}_0

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | 0.2 + e^{0.6 *20} \bigg| - \mathtt{In} \bigg|0.2+e^{0.6*0}\bigg|\bigg]

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | 0.2 + e^{12} \bigg| - \mathtt{In} \bigg|0.2+e^0\bigg|\bigg]

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | 0.2 + e^{12} \bigg| - \mathtt{In} \bigg|0.2+1\bigg|\bigg]

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | 0.2 + e^{12} \bigg| - \mathtt{In} \bigg|1.2\bigg|\bigg]

=\dfrac{4.1}{0.6}\bigg [ \mathtt{In} \bigg | \dfrac{0.2 + e^{12}}{1.2} \bigg|\bigg]

= 80.75 thousand articles

3 0
3 years ago
Help me solve this math problem please!! With an explanation as well. Thank you :)
zlopas [31]

Answer:

hello

Step-by-step explanation: ok look at the years

8 0
3 years ago
Enter the slope-intercept equation of the line shown below. ??!!!!!
Luda [366]

Answer:

y=2x+4

Step-by-step explanation:

2x is the gradient and the y intercept is 4 so we just put them into the equation y=mx+c

5 0
3 years ago
What is fifty four times eighty nine?
o-na [289]
Fifty-Four Multiplied by Eighty-Nine is Four Thousand Eight Hundred and Six. (4,806)
5 0
4 years ago
Read 2 more answers
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