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nadya68 [22]
2 years ago
9

What is the simplified expression for 3^-4 X 2^3 X 3^2

Mathematics
1 answer:
vlada-n [284]2 years ago
8 0
To multiply powers is the same as adding them
3^-4 x 3^2 = 9^-2
9^-2 x 2^3 = 18^1 = 18

2^4 x 3^-3 = 6^1 = 6

18 / 6 = 3

I apologise if that’s wrong-
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Use the Law of Sines to find the measure of angle R to the nearest degree.
IrinaK [193]
\frac{\sin(R)}{PQ} = \frac{\sin(Q)}{PR}

\frac{\sin(R)}{24.7} = \frac{\sin(43^{\circ})}{16.9}

\sin(R) = 24.7*\frac{\sin(43^{\circ})}{16.9}

\sin(R) \approx 0.9967668

R \approx \arcsin(0.9967668)

R \approx 85.39137896^{\circ}

R \approx 85^{\circ}

The final answer is 85 degrees
4 0
3 years ago
Solve the equation<br>a) 4 + 3k = 4k - 2​
Shtirlitz [24]

Answer: k = 6

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

brainliest or a thank u pls

5 0
2 years ago
A force of 3 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is
ioda

The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound

<h3>Data obtained from the question</h3>

From the question given above, the following data were obtained:

  • Force (F) = 3 pounds
  • Extension (e) = 0.6 feet
  • Work done (Wd) =?

<h3>How to determine the spring constant</h3>
  • Force (F) = 3 pounds
  • Extension (e) = 0.6 feet
  • Spring constant (K) =?

F = Ke

Divide both sides by e

K = F/ e

K = 3 / 0.6

K = 5 pound/foot

Thus, the spring constant of the spring is 5 pound/foot

<h3>How to determine the work done</h3>
  • Spring constant (K) = 5 pound/foot
  • Extention (e) = 0.7 feet
  • Work done (Wd) =?

Wd = ½Ke²

Wd = ½ × 5 × 0.7²

Wd = 2.5 × 0.49

Wd = 1.23 foot-pound

Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound

Learn more about spring constant:

brainly.com/question/9199238

#SPJ1

5 0
1 year ago
If m&lt;3 =54°. find each measure.
weqwewe [10]

Answer/Step-by-step explanation:

Given:

m<3 = 54°

m<2 = right angle

a. m<1 + m<2 + m<3 = 180° (angles in a straight line)

m<1 + 90° + 54° = 180° (substitution)

m<1 + 144° = 180°

m<1 = 180° - 144°

m<1 = 36°

b. m<2 = 90° (right angle)

c. m<4 = m<1 (vertical angles)

m<4 = 36° (substitution)

d. m<5 = m<2 (vertical angles)

m<5 = 90°

e. m<6 = m<3 (vertical angles)

m<6 = 54°

f. m<7 + m<6 = 180° (same side interior angles)

m<7 + 54° = 180° (substitution)

m<7 = 180 - 54

m<7 = 126°

g. m<8 = m<6 (alternate interior angles are congruent)

m<8 = 54°

h. m<9 = m<7 (vertical angles)

m<9 = 126°

i. m<10 = m<8 (vertical angles)

m<10 = 54°

j. m<11 = m<4 (alternate interior angles are congruent)

m<11 = 36° (substitution)

k. m<12 + m<11 = 180° (linear pair)

m<12 + 36° = 180° (substitution)

m<12 = 180° - 36°

m<12 = 144°

l. m<13 = m<11 (vertical angles)

m<13 = 36°

m. m<14 = m<12 (vertical angles)

m<14 = 144° (substitution)

6 0
3 years ago
How can you recognize linear change from a graph, an equation, a table, or in a real world situation?
Stolb23 [73]

In linear change, the two variables keep increasing or decreasing at the same speed.

7 0
3 years ago
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