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3 years ago

Answer a) 4x4x4x5x5 using index notation b) 9x7x9x9x7x9 using index notation

Mathematics

2 answers:

Murljashka [212]3 years ago

7 0

Answer:

4^3x5^2, 7^2x9^4

Step-by-step explanation:

Where a^b means a to the power b. When writing on paper b should be small and above and to the right of a. Keep the bottom numbers in order, so 4 before 5 and so on. In a there are 3 4s and 2 5s, hence the answer. Same reasoning for b.

harina [27]3 years ago

3 0

Answer:

a) 4^3 × 5^2

b) 9^4 × 7^2

Step-by-step explanation:

___________

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Tell me which 4 letters are right! A? B? C? D? F? E? I WILL GIVE BRAINLIEST

Helen [10]

Answer:

Everything but A and C

Step-by-step explanation:

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2 years ago

In mathematics given that x=L2-L1/L1(O2-O1).

Assoli18 [71]

Answer:

1. L1 = $\frac{L2}{X(O2 -O1)}$

2. O2 = $\frac{L2 - L1(1 + XO1)}{XL1}$

Step-by-step explanation:

Given: x = $\frac{L2 - L1}{L1(O2 -O1)}$

1. To make L1 the subject of formula;

x = $\frac{L2 - L1}{L1(O2 -O1)}$

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

collect like terms,

L2 = xL1(O2 - O1) + L1

factorize the right hand side;

L2 = L1[x(O2 - O1)]

L1 = $\frac{L2}{X(O2 -O1)}$

2. To make O2 the subject of formula;

x = $\frac{L2 - L1}{L1(O2 -O1)}$

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

open the bracket to have;

L2 - L1 = xL1O2 - xL1O1

⇒ xL1O2 = L2 - L1 + xL1O1

O2 = $\frac{L2-L1 + XL1O1}{XL1}$

= $\frac{L2 - L1(1 + XO1)}{XL1}$

4 0

3 years ago

A cone has a radius of 6.2 mm and a height of 10.8 mm. What is the volume of the cone to the nearest tenth? use π = 3.14

guapka [62]

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the volumes.

Here given as, r= 6.2 mm, h = 10.8 mm, π=3.14

hence, the volume of the cone is

Volume = 1/3(πr^2h)

===> vol = 1/3(3.14*(6.2)^2*(10.8))

==> Vol = 1/3*(1303.57)

==> Vol = 434.52 mm^3

Hence the volume of the cone is 434.52 mm^3

7 0

3 years ago

Read 2 more answers

Guess the rule and add the next number in the sequence.<br> 1, 5, 13, 25, 41, ?

WINSTONCH [101]

Suspect: we start adding 4, later 8, 12, 16...

Therefore, the next number is 41 + 20 = 61.

Now, we try to guess the rule.

Note that, the numbers that we add are multiples of 4. Try to write the sequence in a different way like this:

1, 1 +4, (1+4) +8, ((1+4)+8)+12, (((1+4)+8)+12) +16, ...

1, 1+4, 1 + 4(1+2), 1 + 4(1+2+3), 1+ 4(1+2+3+4)...

You must to know that 1+2+3+...+ n = n(n+1)/2

Then, the nth numbers of the sequence must to be 1 + 4n(n+1)/2 = 1+2n(n+1) = a_n

Check the formula:

n = 0 then a_0 = 1+ 0

n=1 then a_1 = 1 +2(2) = 5

n=2 then a_2 = 1 +2(2)(3) = 13

n=3 then a_3 = 1 +2(3)(4) = 25

n=4 then a_4 = 1 +2(4)(5) = 41

n=5 then a_5 = 1 +2(5)(6) = 61

....

5 0

3 years ago

A Toyota dealership paid $22,450 for a Camry and marked it up by 33% of the price they paid. You purchased this Camry during a P

anygoal [31]

Answer:

$22,872.65

Step-by-step explanation:

After the dealer marked up the price by 33%, the pre-sale selling price was 1+0.33 = 1.33 times what the dealer paid. When you received a 10% discount, you paid 1-0.10 = 0.90 times the pre-sale selling price. Thus, the price you paid was ...

$22,450 · 1.33 · 0.90 = $26,872.65

3 0

4 years ago