Write 3n/9n-1 as a power of 3

Which expressions are equivalent to 10a - 25 + 5b10a−25+5b10, a, minus, 25, plus, 5, b?

Rainbow [258]

Answer:

Answer: (2a - 5 + b)5

Answer: 10 x (a - 2.5 + 0.5b)

Answer: (-2a + 5 - b) ⋅ (-5)

4 0

2 years ago

If →u and →v are the vectors below, find the vector →w whose tail is at the point halfway from the tip of →v to the tip of →v−→u

S_A_V [24]

Û = (-1, -1, -1)
^v = (2, 3, -5)
^v - û = (2 + 1, 3 + 1, -5 + 1) = (3, 4, -4)
Half way from ^v to ^(v - u) = ((3 - 2)/2, (4 - 3)/2, (-4 + 5)/2) = (1/2, 1/2, 1/2)
Halfway from û to ^v = ((2 + 1)/2, (3 + 1)/2, (-5 + 1)/2) = (3/2, 2, -2)

The required vector ^w = ((3/2 - 1/2), (2 - 1/2), (-2 - 1/2)) = (1, 1/2, -5/2)

5 0

1 year ago

A baseball player has 39 hits in 134 times at bat. how many hits must he get in the next 46 times at bat to finish the year with

faust18 [17]

Answer:

He must get 33 hits in his next 46 times at bat to finish the year with a .400 batting average

Step-by-step explanation:

The player has already batted 134 times and will still bat 46 times. So in the end of the year, he is going to have 134 + 46 = 180 at bats.

How many hits does he need to have to hit .400?

This is 40% of 180, which is 0.4*180 = 72.

He has already 39 hits, so in his next 46 at bats, he will need 72 - 39 = 33 hits.

4 0

2 years ago

The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to

Elza [17]

Answer:

The Amount tom has to pay is $196.65 therefore, Option b is correct

Step-by-step explanation:

Tom recieves 43% of total monthly premium

That means out of 100% he is getting 43% he has to pay (100%-43%)= 57% of $345.00

The amount Tom has to pay each month is $57\%\cdot 345.00$ it will become $.57 \cdot 345.00=196.65$

$57\%=\frac{57}{100}=.57$

Therefore,The Amount tom has to pay is $196.65 that is option b is correct

5 0

1 year ago

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Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. 2 parallel horizontal lines are interse

densk [106]

Answer:

"They are supplementary" ⇒ last answer

Step-by-step explanation:

* <em>Look to the attached figure</em>

- Two parallel horizontal lines are intersected by a third line

- The angles formed form intersection are labeled on the figure

- From the two parallel lines and

∠5 ≅ ∠1 ⇒ corresponding angles

m∠5 = m∠1

- A linear pair is two angles that are adjacent and form a line and

they are supplementary

∠1 and ∠3 form a line

∠1 and ∠3 are linear pair

* <em>lets prove that ∠3 and ∠5 are supplementary</em>

∵ m∠1 = m∠5 ⇒ corresponding angles

∵ ∠1 and ∠3 form a linear pair

∵ Linear pair are supplementary

∴ m∠1 + m∠3 = 180°

- By substitute ∠1 by ∠5

∴ m∠5 + m∠3 = 180

∴ ∠5 and ∠3 are supplementary

* The true statement is "They are supplementary"

8 0

1 year ago

Read 2 more answers