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2 years ago

If 3 is 1/4 what is the whole? (Division)

Mathematics

1 answer:

Vesnalui [34]2 years ago

8 0

Answer:

Step-by-step explanation:

12 divided by 4 is 3 or 12 split into 4 even parts is 3

3. 3 3. 3

1/4. 1/4 1/4. 1/4

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Determine whether each expression is equivalent to 49^2t – 0.5.

vampirchik [111]

Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

$7^2^{(2t - 0.5)}$

Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

$7^{(4t - 1)}$

This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

$\frac{(7 * 7)^{t}}{49^{0.5}}$

$\frac{49^{t}}{49^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

This is not equivalent to $49^{(2t - 0.5)}$

B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

$\frac{(7*7)^{2t}}{7^{0.5}}$

$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

$(a^m)^n = a^{mn}$

Applying this law to the numerator; we have

$\frac{7^{2*2t}}{7^{0.5}}$

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

This is also not equivalent to $49^{(2t - 0.5)}$

C. $7^{2t}\ *\ 49^{0.5}$

$7^{2t}\ *\ (7^2)^{0.5}$

$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

6 0

2 years ago

Who was the first Democratic elected president of Nigeria

likoan [24]

Answer:

Alhaji Shehu Shagari

Step-by-step explanation:

Alhaji Shehu Shagari the first Democratic elected president of Nigeria, He was elected in October 1979. He contested under the The National Party of Nigeria. Prior to that time, Nigeria had been under military rule for more than 13 years.

In December 1983, there was a military coup and he was overthrown.

4 0

2 years ago

1. Determine the measure of the unknown angles indicated by letters. Justify your answers with

Maurinko [17]

Answer:

hello,

Step-by-step explanation:

In an isocele triangle, base's angles have the measure:

42+2a=180

2a=180-42

a=69(°)

in a triangle, an external angle has for measure the sum of the angles not adjacents.

55+b=132

b=77 (°)

in a quadrilater the sum of the (interior) angles is 2*180=360 degrees.

90+90+68+c=360

c=360-90-90-68

c=112 (°)

7 0

2 years ago

Which statement can john use this figure to prove?

ch4aika [34]

Answer:

Can you post a picture of the figure?

3 0

1 year ago

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The chart shows a combined supply and demand schedule.

Readme [11.4K]

Answer:

TA name and section number on top of the homework (legibly). Make sure ... a) What is the opportunity cost of producing the first 5 coconuts? ... 3/2 fish - From the labeled points we can construct the table shown below. Each ..... 3Q = 150 ... Consumer surplus: ½ × (125 – 65) × 30 = 900 thousands of dollars.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers