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2 years ago

Every year, ___%percent of species are added to or subtracted from the total number of animal species.

Mathematics

1 answer:

nordsb [41]2 years ago

4 0

Answer:

Step-by-step explanation:

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Simplify ( 8∙4∙2 8∙7 )^2 × ( 8 0 7−3 )^3 × 7 −9 .

stich3 [128]

$\bf ~\hspace{7em}\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
~\hspace{4.5em}
a^n\implies \cfrac{1}{a^{-n}}
~\hspace{4.5em}
\cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\left( \cfrac{8\cdot 4\cdot 2}{8\cdot 7} \right)^2\times \left( \cfrac{8^0}{7^{-3}} \right)^3\times 7^{-9}\implies \left( \cfrac{8\cdot 8}{8\cdot 7} \right)^2\times \left( \cfrac{1\cdot 7^3}{1} \right)^3\times \cfrac{1}{7^9}$

$\bf \left( \cfrac{8}{8}\cdot \cfrac{8}{7} \right)^2\times (7^3)^3\times \cfrac{1}{7^9}\implies \left( \cfrac{8}{7} \right)^2\times 7^{3\cdot 3}\times \cfrac{1}{7^9}\implies \cfrac{8^2}{7^2}\times \cfrac{7^9}{7^9}
\\\\\\
\cfrac{8^2}{7^2}\implies \cfrac{64}{49}$

4 0

3 years ago

The ratio of red to blue marbles in a bag is 2:5. If there are 65 blue marbles in the bag, how many red marbles are there? Let x

hoa [83]

Answer:

first get the total ratio; 2 + 5 = 7

so the fraction of blue marbles is 5/7

then assume the number of total marbles to be k

then use the expression;

5/7*k = 65

7*5/7 * k = 65*7

5k =455

5/5k = 455/5

k = 91

then calculate the number if red marbles from;

x = 2/7*91

x = 26

Therefore there are 26 red marbles.

8 0

3 years ago

Can someone please help me with question 4

Andrej [43]

Answer:

So angle 3 is congruent to angle 4 because they are both complimentary to 1 and 2.

By SAS, triangle SNM is congruent to triangle SNF.

By CPCTC, angle QMN is congruent to angle RFN.

By AAS, triangle QMN is congruent to RNF.

So by CPCTC, QM=RP

5 0

3 years ago

Andrew is showing his work in simplifying −4.5 + 4.2 + 5.6 − 7.3. Identify any errors in his work or in his reasoning. Step Work

Llana [10]

Answer:

it is the last one ( HE SIMPLYFIED INCORECCT)

Step-by-step explanation:

i took the test

3 0

2 years ago

Factor: 120u² + 125u + 30.

NemiM [27]

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

lmk if you want an explanation

6 0

2 years ago

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