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3 years ago

Determine the constant of proportionality represented in each graph k= k= k=

Mathematics

1 answer:

Delicious77 [7]3 years ago

3 0

Answer:

k= 1

k= 0.5y

k= 0.5x

Step-by-step explanation:

i am not 100% sure so i called out some help.

If this makes sense than its probably right.

have a nice day and mark me brainliest if it makes sense! :)

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Which expression is equivalent to (5.4 x 1010) (3.3x1021)?

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3 years ago

5 Seth bought a used car that had been driven 20,000

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balandron [24]

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3 years ago

Read 2 more answers

Given T5 = 96 and T8 = 768 of a geometric progression. Find the first term,a and the common ratio,r.

Alona [7]

Answer:

Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.

Step-by-step explanation:

Recall that the direct formula of a geometric sequence is given by:

$\displaystyle T_ n = ar^{n-1}$

Where Tₙ is the nth term, a is the initial term, and r is the common ratio.

We are given that the fifth term T₅ = 96 and the eighth term T₈ = 768. In other words:

$\displaystyle T_5 = a r^{(5) - 1} \text{ and } T_8 = ar^{(8)-1}$

Substitute and simplify:

$\displaystyle 96 = ar^4 \text{ and } 768 = ar^7$

We can rewrite the second equation as:

$\displaystyle 768 = (ar^4) \cdot r^3$

Substitute:

$\displaystyle 768 = (96) r^3$

Hence:

$\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2$

So, the common ratio r is two.

Using the first equation, we can solve for the initial term:

$\displaystyle \begin{aligned} 96 &= ar^4 \\ ar^4 &= 96 \\ a(2)^4 &= 96 \\ 16a &= 96 \\ a &= 6 \end{aligned}$

In conclusion, of the given geometric sequence, the first term a is 6 and its common ratio r is 2.

7 0

2 years ago

Help me with number three plzzzz i took a picrure below

kvasek [131]

All you have to do to solve this problem is to put it into fraction form: if for every $4 Jo makes, Leila makes $3, then the fraction would be 3/4.

To solve this divide 60 by 4 to get 15 and then multiply 15 by 3 to get Leila's pay. 15*3=45

Check it by putting it into simplest form as a fraction to see if it checks:

45/60=3/4 and 3/4=3/4 so therefore Leila makes $45 in profit

3 0

3 years ago