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3 years ago

3t + 3 = -12 show steps pls

2 answers:

5 0

3t+3=-12

Our goal is to isolate t. Subtract 3 from both sides.
3t+3-3=-12-3
3t=-15

Now divide both sides by 3.
3t/3=-15/3
t=-5

Final answer: t=-5

tatuchka [14]3 years ago

5 0

3t=-12+-3
3t=-15
3t/3=-15/3
t=-5

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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

3 years ago

Fifty trees grow in a forest. Workers cut down 23 of the trees. Then they plant 38 new ones. After all the cutting and planting,

ololo11 [35]

Answer:

Option A. 65 trees

Step-by-step explanation:

From the question given:

50 trees was in the forest. Then 23 of them were cut down.

The remaining trees = 50 — 23 = 27 trees.

Now 38 new trees were plant.

Total trees after cutting and planting = 27 + 38 = 65 trees

8 0

3 years ago

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Peter will travel 1,342 kilometers from Paris to Rome. Peter will start his journey at 5:00 A.M. Monday morning and arrive in Ro

Hunter-Best [27]

Answer:

61 km/s

Step-by-step explanation:

First, you count the number of hours he travelled: 22

Next, divide the distance he travelled, 1342, by the time he travelled, 22, $\frac{1342}{22} = 61$

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2 years ago

Imelda needs to convert 440 centimeters per minute to meters per hour.Which conversion factors should she use

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She should use the conversion factor of 100 centimeters to 1 meter and also the conversion factor of 60 minutes to 1 hour.

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3 years ago

Let m = 4 and n = 5

finlep [7]

the answer is c because 4(4)+4(5)=36 and 2(4)^2=16 that 36-16=20 and mn (4*5)=20 so that gives you answer c

4 0

3 years ago

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