30 g serving of a certain breakfast cereal has 12.5 g of salt. How much salt would that be in centigrams?

BRAINLIEST AWARD NO.2

zzz [600]

Answer:

A whole number first term to render as fifth term a value larger than 10000, should be at least 121

Step-by-step explanation:

The formula is given as recursive since it involves the previous number of the sequence, and defined as:

$a_n=a_{n-1}*3+6$

we also know that the first term is 4

Then in this case, the first five terms are:

$a_1=4\\a_2=4*3+6=18\\a_3=18*3+6=60\\a_4=60*3+6=186\\a_5=186*3+6=564\\$

So if we want to find the first term in the case that the fifth one is greater than 10,000 using this recursive formula, now we have to start backwards, and say that the fifth term is "> 10000" and what the fourth one is.

Notice that if you have this definition for the nth term, we can obtain from it, what the previous term is to find the general rule:

$a_n=a_{n-1}*3+6\\a_n-6=a_{n-1}*3\\\frac{a_n-6}{3} = a_{n-1}\\a_{n-1}=\frac{a_n}{3} -2$

So the rule is to subtract 6 from he term, and divide the subtraction by 3. Then working backwards:

$a_5>10000\\\frac{a_5}{3} -2>\frac{10000}{3} -2\\a_4>=\frac{10000}{3} -2\\\frac{a_4}{3} -2>\frac{\frac{10000}{3}-2}{3}-2 =\frac{10000}{9}-\frac{8}{3} \\a_3>\frac{10000}{9}-\frac{8}{3} \\\frac{a_3}{3} -2>\frac{\frac{10000}{9}-\frac{8}{3} }{3} -2=\frac{10000}{27} -\frac{8}{9} -2=\frac{10000}{27} -\frac{26}{9}\\a_2=\frac{10000}{27} -\frac{26}{9}\\\frac{a_2}{3} -2>\frac{\frac{10000}{27} -\frac{26}{9}}{3} -2=\frac{10000}{81} -\frac{80}{27} \\a_1>\frac{10000}{81} -\frac{80}{27}\approx 120.49$

therefore, the starting first term should be at least about 121 to give a fifth term larger than 10,000

8 0

2 years ago

How do you find the y - intercept (explain in sentences)

Aloiza [94]

Find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!

7 0

2 years ago

HELP ME PLEASE!!! best answer gets brainliest show steps please

solniwko [45]

Answer:

height = 20 cm

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ← r is the radius and h the height

given r = 12 and V = 2880π, then

π × 12²h = 2880π

144πh = 2880π ( divide both sides by 144π )

h = $\frac{2880\pi }{144\pi }$ = 20

7 0

2 years ago

Read 2 more answers

Help with this please

SVEN [57.7K]

Answer:

1. 26:5 or

$\frac{26}{5}$ or

5.2 as a decimal

2. 21:26 or

$\frac{21}{26}$ or

0.81 as a decimal

3. 21:5 or

$\frac{21}{5}$ or

4.2 as a decimal

4. 5:21 or

$\frac{5}{21}$ or

0.24 as a decimal

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or $\frac{21}{26}$ or 0.81. We can also compare the number of vowels which is 5:26 or

A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.

21:5 or

$\frac{21}{5}$ or

4.2 as a decimal.

We can reverse and write vowels : consonants.

5:21 or

$\frac{5}{21}$ or

0.24 as a decimal.

5 0

2 years ago

The speedy punt returner and the ferocious defensive player are headed straight toward each other. The punt returner is travelin

Svetach [21]

Answer:

2

Step-by-step explanation:

15+12=27

54 / 27 = 2

8 0

3 years ago