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2 years ago

Recursive formula for a geometric sequence with a starting value of 8 and a common ratio of 5

1 answer:

5 0

$a_2=5a_1$
$a_3=5a_2$
$a_4=5a_3$
...
$a_n=5a_{n-1}$

So the recursive formula is

$\begin{cases}a_1=8\\a_n=5a_{n-1}&\text{for }n>1\end{cases}$

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10 POINTS !

sesenic [268]

Gradient= -3/2 Equation: Y=mx+c Y=2 , X=8

So you substitute the numbers in

2=(-3/2) x 2 + c (then you backtrack to solve for c which is the y intercept)

2=-3+c

5=c So the equation should be Y=-3/2x+5

5 0

2 years ago

Read 2 more answers

Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20

kupik [55]

Answer:

20 because 40 is a positive and spent is negative

Step-by-step explanation:

5 0

2 years ago

Consider the gender and class make-up of students at a large university by gender and status as given in the table.

azamat

Answer:

0.589

Step-by-step explanation:

THis is a conditional probability question. Let's look at the formula first:

P (A | B) = P(A∩B)/P(B)

" | " means "given that".

So, it means, the <u><em>"Probabilty A given that B is equal to Probability A intersection B divided by probability of B."</em></u>

So we want to know P (Female | Undergraduate ). This in formula is:

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

Now,

P (Female ∩ Undergraduate) means what is common in both female and undergraduate? There are 43% female that are undergrads. Hence,

P (Female ∩ Undergraduate) = 0.43

Also,

P (Undergraduate) is how many undergrads are there? There are 73% undergrads, so that is P (undergraduate) = 0.73

<em>plugging into the formula we get:</em>

P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)

=0.43/0.73 = 0.589

this is the answer.

4 0

2 years ago

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

7 0

2 years ago

The plane that contains points C and T can also be named plane...

Mnenie [13.5K]

Answer:

A) CUB

Step-by-step explanation:

Of the suggested planes, only CUB contains both points C and T.

___

<em>Comments on the other answer choices</em>

BED contains point T, but not C

ACE contains point C, but not T

ABE contains neither C nor T

6 0

2 years ago