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2 years ago

14

An elevator was at the 4" floor. It traveled up 18 floors, down 7 floors, up 6 floors and down 2 floors. What floor did the elev

ator end up on?

1 answer:

Gemiola [76]2 years ago

8 0

The answer is the 19th floor

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In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning. a2b3; a5b3; ab8; b8;

Fiesta28 [93]

We have to find the expansion of $(3a+4b)^{8}$

We will use binomial expansion to expand the given expression, which states that the expression $(a+b)^{n}$ is expanded as :

$(a+b)^{n}=^{n}C_{0}a^{n}+^{n}C_{1}a^{n-1}b+^{n}C_{2}a^{n-2}b^{2}+........^{n}C_{n}b^{n}$

Now expanding $(3a+4b)^{8}$ we get,

$(3a+4b)^{8}=^{8}C_{0}(3a)^{8}+^{8}C_{1}(3a)^{7}(4b)+^{8}C_{2}(3a)^{6}(4b)^{2}+^{8}C_{3}(3a)^{5}(4b)^{3}+^{8}C_{4}(3a)^{4}(4b)^{4}+^{8}C_{5}(3a)^{3}(4b)^{5}+^{8}C_{6}(3a)^{2}(4b)^{6}+^{8}C_{7}(3a)(4b)^{7}+^{8}C_{8}(4b)^{8}$

$(3a+4b)^{8}=^{8}C_{0}(3)^{8}a^{8}+^{8}C_{1}(3)^{7}(4)(a^{7}b)+^{8}C_{2}(3)^{6}(4)^{2}(a^{6}b^{2})+^{8}C_{3}(3)^{5}(4)^{3}(a^{5}b^{3})+^{8}C_{4}(3)^{4}(4)^{4}(a^{4}b^{4})+^{8}C_{5}(3)^{3}(4)^{5}(a^{3}b^{5})+^{8}C_{6}(3)^{2}(4)^{6}(a^{2}b^{6})+^{8}C_{7}(3)(4)^{7}(ab^{7})+^{8}C_{8}(4)^{8}(b^{8})$

So, the variables are $a^{5}b^{3}$ , $b^{8}$ , $a^{4}b^{4}$ , $a^{8} , [tex] ab^{7}$

5 0

2 years ago

Which ordered pair is a solution to this equation? 2x + 6y = 10 (4, 1) (3, 1) (2, 1) (12, 2)

gizmo_the_mogwai [7]

2, 1 because 2 x 2 is 4 + 6 x 1 is 10

4 0

2 years ago

Read 2 more answers

explain how you could use a map to estimate the actual distance between miami, florida and atlanta, georgia

Mariana [72]

scale factor

Step-by-step explanation:

8 0

2 years ago

In circle F, the measure of ∠AFE is equal to 120° and the measure of arc BD is equal to 20°.

Aleks04 [339]

Answer:

40

Step-by-step explanation:

AFE=120 so arc AE is also 120

those 3 angles add up to 180 and 180-120-20=40

6 0

2 years ago

Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. The candy has 3 pounds of milk chocolate.

Gnesinka [82]

A.
100%=all
so if 25% is dark and the rest is milk then
dark+milk=all
25%+milk=100%
minus 25% both sides
milk=75%

so
if milk chocolate=3lb then
3lb=75%
divide by 3
1lb=25%=dark chocolate
oops, I didn't use an equation
hmm

ratios and things
75%=milk
25%=dark

so we got
for m=pounds of milk chocolate
and d=dark chocolate
m/d=72/25 or m/d=3 and
m=3
duh
3/d=3
3=3d
1=d

B. 1 lb dark chocolate

4 0

2 years ago