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VMariaS [17]
3 years ago
5

. Bryon competes on the school debate team. He won 0.40 of the debates in which he participated. Which statement is not true abo

ut Byron's debates?
Mathematics
1 answer:
mars1129 [50]3 years ago
6 0

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let me help out.

Since Bryon won 0.40 of his debate, this means that he won 40% of his debate. 40% converted to fraction equals 40/100 = 2/5.

Since he won 40%, it means that he lost (100% - 40%) = 60%. He lost 3/5 and won 2/5.

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Select all the expressions that are equivalent to (2)^n+³
eimsori [14]

Answer:

The expressions which equivalent to  (2)^{n+3} are:

4(2)^{n+1}  ⇒ B

8(2)^{n} ⇒ C

Step-by-step explanation:

Let us revise some rules of exponent

  • a^{m} × a^{m}  = a^{m+n}
  • (a^{m})^{n} = a^{m*n}

Now let us find the equivalent expressions of  (2)^{n+3}

A.

∵ 4 = 2 × 2

∴ 4 =  2^{2}

∴  (4)^{n+2} =  (2^{2})^{n+2}

- By using the second rule above multiply 2 and (n + 2)

∵ 2(n + 2) = 2n + 4

∴  (4)^{n+2} =  (2)^{2n+4}  

B.

∵ 4 = 2 × 2

∴ 4 =  2²

∴  4(2)^{n+1} = 2² ×  (2)^{n+1}

- By using the first rule rule add the exponents of 2

∵ 2 + n + 1 = n + 3

∴   4(2)^{n+1} =  (2)^{n+3}

C.

∵ 8 = 2 × 2 × 2

∴ 8 =  2³

∴  8(2)^{n} = 2³ ×  (2)^{n}

- By using the first rule rule add the exponents of 2

∵ 3 + n = n + 3

∴  8(2)^{n} =  (2)^{n+3}

D.

∵ 16 = 2 × 2 × 2 × 2

∴ 16 = 2^{4}

∴  16(2)^{n} = 2^{4}  ×  (2)^{n}

- By using the first rule rule add the exponents of 2

∵ 4 + n = n + 4

∴  16(2)^{n} =  (2)^{n+4}

E.

(2)^{2n+3} is in its simplest form

The expressions which equivalent to  (2)^{n+3} are:

4(2)^{n+1}  ⇒ B

8(2)^{n} ⇒ C

3 0
3 years ago
If (2 − 3i) + (x + yi) = 6, what is x + yi?
Soloha48 [4]

(2 − 3i) + (x + yi) = 6

We add the left hand side

(2+x) + (-3+y)i = 6

6 can be written in a+ib

6 can be written as 6 + 0i

(2+x) + (-3+y)i = 6 +0i

Now we frame 2 equations

2 + x= 6

-3 + y =0

Solve the first equation

2 + x = 6

Subtract 2 from both sides

x = 4

solve the second equation

-3 + y =0

Add 3 on both sides

y= 3

So x+yi is 4+3i

7 0
3 years ago
Read 2 more answers
Does any one know the answer to this thank you
makvit [3.9K]

Answer:

The First choice

Step-by-step explanation:

8 0
3 years ago
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
Artist 52 [7]

Answer:c

options A  and B

Step-by-step explanation:

the ratio between the lengths of the two legs of a 30-60-90 triangle

General ration of 30-6- 90 degrees triangle is

x : xsqrt(3) : 2x

When x=1 the ratio becomes 1 : 1 sqrt(3)

when x= 2sqrt(3) the ratio becomes

It becomes

Two sides of 30-60-90 triangle cannot be equal

so option c  and option D are not possible

sqrt(2) is also not possible  because we have sqrt(3) in general ratio

PLS MARK ME AS BRAINLIEST.

5 0
2 years ago
MONICA PAID SALES TAX OF 1.50 WHEN SHE BOUGHT A NEW BIKE HELMET . IF THE SALES TAX RATE WAS 5% HOW MUCH DID THE STORE CHARGE FOR
Natasha2012 [34]
Let h be the price of the helmet (not hemelt).  Then 0.05h= $1.50.
To determine the price of the helmet, divide both sides of this equation by 0.05:

h = $30

The helmet is $30 before sales tax is applied, and $31.50 with tax.
3 0
3 years ago
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