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2 years ago

If an = 2n - 3, then what is the fifth term of the sequence?

Mathematics

2 answers:

Valentin [98]2 years ago

5 0

It’s 7 ... hopes this help

boyakko [2]2 years ago

3 0

Answer:

Step-by-step explanation:

To find the fifth term in the sequence, plug in 5 for n.

a₅=2(5)-3

Then just solve

a₅=10-3

a₅=7

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Solve 9x^2- 17x- 85 = 0 Give your solutions correct to 3 significant figures.

dybincka [34]

Answer:

$x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}$ OR $x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}$

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

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

$x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}$

$x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}$

4 0

2 years ago

I'm sorry but I have another one!

SIZIF [17.4K]

No mode or 43 i know the 43 sounds crazy but with math now days you never know.

8 0

3 years ago

Log*subscript*(3x − 2) 4096 = 3<br><br> I got x= negative 6 is this correct??

Brut [27]

Remember

$log_a(b)=c$ translates to $a^c=b$
and
$log_a(b^c)=clog_a(b)$
so

4096=16^3
$log_{3x-2}(4096)=3$
$log_{3x-2}(16^3)=3$
$3log_{3x-2}(16)=3$
divide both sides by 3
$log_{3x-2}(16)=1$
translate
$(3x-2)^1=16$
3x-2=16
add 2 to both sides
3x=18
divide both sides by 3
x=6

8 0

3 years ago

A carousel horse travels on a circular path with a radius of 15 ft. How many feet does the horse travel over an angle of 2π3 rad

snow_lady [41]

Answer:

$arc\,\,length=10\,\pi\,ft\\arc\,\,length=31.41\,ft$

Step-by-step explanation:

Recall that the formula for the length of an arc of circumference is given by the formula:

$arc\,\,length=\theta\,R$

where $\theta$ is the radian form of central angle subtended , and R is the radius of the circumference. What is important is to have the angle given in radians for this formula to be valid.

In our case, the angle ( $\frac{2\pi}{3}$ ) is already in radians, so we can apply the formula directly:

$arc\,\,length=\theta\,R\\arc\,\,length=\frac{2\,\pi}{3} \,(15\,ft)\\arc\,\,length=10\,\pi\,ft\\arc\,\,length=31.41\,ft$

6 0

2 years ago

What is the slope line of a and c.

faltersainse [42]

Answer:

the amount of y over x

Step-by-step explanation:

5 0

3 years ago