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Sliva [168]
3 years ago
8

Solve 4(t+1) = 6 - 1. (A) 2 (B) 1 (C) O (D) 1]

Mathematics
2 answers:
tia_tia [17]3 years ago
7 0

Answer: a 2

Step-by-step explanation:

mr Goodwill [35]3 years ago
6 0

Answer: t=1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation: (4)(t)+(4)(1)=6+-1 (Distribute)

4t+4=6+-1

4t+4=(6+-1) (Combine Like Terms)

4t+4=5

Step 2: Subtract 4 from both sides: 4t+4-4=5-4

4t=1

Step 3: Divide both sides by 4: 4t/4=1/4

Answer: t=1/4

Hope this helps!

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A vat of orange contains the juices from 843 oranges . If a company has 89 vats . How many oranges would they use to fill them.
algol13
75,027 the answer because you multiply 89•843
7 0
3 years ago
an airplane flies in the path shown by the vector line UV on the graph below. what is the magnitude and direction of line UV? (1
GaryK [48]

The magnitude and direction of line UV is 19.7° South of West for 8.1 miles

<h3>How to find the magnitude of the vector line UV?</h3>

The magnitude of the vector line UV is given by the length of the line UV,

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where

  • (x₁, y₁) = (2, 3) and
  • (x₂, y₂) = (-2, -4)

Substituting the values of the variables intot he equation, we have

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(-2 - 2)² + (-4 - 3)²]

d = √[(-4)² + (-7)²]

d = √[4² + 7²]

d = √[16 + 49]

d = √65

d = 8.06 miles

d ≅ 8.1 miles

So, the magnitude of vector line UV is 8.1 miles

<h3>How to find the direction of the vector line UV</h3>

The direction of the vector line UV is given by Ф = tan⁻¹[(y₂ - y₁)/(x₂ - x₁)] where

  • (x₁, y₁) = (2, 3) and
  • (x₂, y₂) = (-2, -4)

Substituting the values of the variables into the equation, we have

Ф = tan⁻¹[(y₂ - y₁)/(x₂ - x₁)]

Ф = tan⁻¹[(-4 - 3)/(-2 - 2)]

Ф = tan⁻¹[(-7)/(-4)]

Ф = tan⁻¹[7/4]

Ф = tan⁻¹[1.75]

Ф = 60.26°

Ф ≅ 60.3°

Its bearing from the north-south line is α = 90° - Ф

= 90° - 60.3°

= 19.7°

So, its direction is 19.7° South of West

So, the magnitude and direction of line UV is 19.7° South of West for 8.1 miles

Learn more about vectors here:

brainly.com/question/26700114

#SPJ1

4 0
2 years ago
Answer before 6 am Tomorrow
Rzqust [24]

The ex- suffix often correlates a word to mean "outside", while the in- suffix often correlates a word to mean "inside". An exterior angle of a polygon would mean "an angle outside of a polygon". An interior angle of a polygon would mean "an angle inside of a polygon". Three exterior angles of this polygon would be angle B, angle D, and angle A. This is because these angles are outside of the polygon due to the extending lines from the shape. Two interior angles of this polygon would be angle 6 and angle 8 (explanation was given when I first began answering this question). Angle 9 would be exterior since it is outside of the polygon. Two exterior angles of the polygon that are congruent are angle D and angle 9, since they are both 90 degrees (right angles).

6 0
3 years ago
Taylor, Moore, and Jenkins are candidates for public office. It is estimated that Moore and Jenkins have about the same probabil
katrin [286]

Answer:

Taylor = 50%

Moore = 25%

Jenkins = 25%

Step-by-step explanation:

Assuming there are no other candidates and that someone has to win the election, the probabilities of Taylor, Moore, and Jenkins winning the election must add up to 1 or 100%.

T+M+J = 1\\

Since Moore and Jenkins have about the same probability of winning, and Taylor is believed to be twice as likely to win as either of the others:

M=J\\T=2J\\J+J+2J=1\\J=0.25\\M=J=0.25\\T=2*0.25=0.5

Taylor has a probability of 50% of winning the election.

Moore has a probability of 25% of winning the election.

Jenkins has a probability of 25% of winning the election.

3 0
3 years ago
Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a nu
tamaranim1 [39]

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

6 0
3 years ago
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