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vichka [17]
3 years ago
15

What are the solutions to the equation x - 7/x = 6

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

The answer is C that is X=7 and X=-1

multiple x through the given equation to get rid of a fraction. It will be

{x}^{2}  - 7 = 6x

After that bring 6X to the LHS of the equation

so that it will look like the general equation that is

{x}^{2}  - 6x - 7 = 0

Use the quadratic formula (or any other approach to find the values of x

You will arrive at

x = 7. - 1

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Find the HCF and LCM of 126 and 234?
Leni [432]

Answer:

Below in bold.

Step-by-step explanation:

Find the prime factors:-

126 = 2 * 3 * 3 * 7

234 = 2 * 3 * 3 * 13

So the GCF =  2 * 3 * 3 = 18.

The LCM = 2 * 3 * 3  * 7 * 13

= 1638.

8 0
3 years ago
A. If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? Show your work a
ivann1987 [24]

Answer:

not sure

Step-by-step explanation:

hope it helps and use brainly it never lies

8 0
3 years ago
A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia
iogann1982 [59]
\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\

\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}

what's the population in 2004?  well,  from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004
3 0
3 years ago
PLEASE HELP ASAP!!
Nitella [24]

Answer:

The radius of a sphere is 2 millimeters

The surface area of a sphere is 50.24 square millimeters.

The circumference of the great circle of a sphere is 12.56  millimeters.

Step-by-step explanation:

<u><em>Verify each statement</em></u>

case A) The radius of a sphere is 8 millimeters

The statement is false

we know that

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

V=100.48/3\ mm^{3}

\pi =3.14

substitute and solve for r

100.48/3=\frac{4}{3}(3.14)r^{3}

r^{3}=(100.48)/(4*3.14)

r=2\ mm    

case B) The radius of a sphere is 2 millimeters

The statement is True

(see the case A)

case C) The circumference of the great circle of a sphere is 9.42 square millimeters  

The statement is false

The units of the circumference is millimeters not square millimeters

The circumference is equal to

C=2\pi r

we have

r=2\ mm  

\pi =3.14

substitute

C=2(3.14)(2)

C=12.56\ mm

case D) The surface area of a sphere is 50.24 square millimeters.

The statement is True

Because

The surface area of the sphere is equal to

SA=4\pi r^{2}

we have

r=2\ mm  

\pi =3.14

substitute

SA=4(3.14)(2)^{2}

SA=50.24\ mm^{2}

case E)  The circumference of the great circle of a sphere is 12.56  millimeters.  

The statement is true

see the case C

case F) The surface area of a sphere is 25.12 square millimeters

The statement is false

because the surface area of the sphere is SA=50.24\ mm^{2}

see the case D

7 0
3 years ago
Read 2 more answers
The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which state
liraira [26]
From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades. 
7 0
3 years ago
Read 2 more answers
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