All categories

2 years ago

Write 8 as a product of primes. Use index notation

Mathematics

1 answer:

dimaraw [331]2 years ago

4 0

Answer:

2³

Step-by-step explanation:

8 = 2 × 2 × 2 = 2³

You might be interested in

What is equivalent to<br> 22c+33d

Fofino [41]

Answer:

11 (2c+3d)

Step-by-step explanation:

3 0

3 years ago

Target is having a sale. All make-up is 30% off. Alissa spends $45 on make-up. How much will Alissa save?

baherus [9]

Answer:

$13.50

Step-by-step explanation:

Alissa will save $13.50 from the sale.

7 0

2 years ago

The following triangle shows the length of each side using expressions.

grigory [225]

Answer:

A). 2(2n+7)+3n

B). 2(2(8)+7)+3(8)
2(16+7)+ 24
2(23)+24
46+24
70

4 0

3 years ago

Paige has 4 more balloons than Zoee. Emma has 2 more balloons than Paige. Altogether they have 100 balloons. How many does each

aksik [14]

52 and 48 if you take away 2 from 50 then,add it to the other 50 52+48

6 0

2 years ago

A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

3 years ago