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Salsk061 [2.6K]
3 years ago
9

Expand. Put the boxes in order to show the correct expansion.

Mathematics
1 answer:
BARSIC [14]3 years ago
7 0

Answer:

Box-4 → (+)

Step-by-step explanation:

To find the value in the 4th box, we will expand the given logarithmic expression.

log₄x⁵y³ = log₄x⁵ + log₄y³

             = 5log₄x + 3log₄y

Therefore, each box will have the values as,

Box-1 → 5

Box-2 → log₄

Box-3 → x

Box-4 → (+)

Box-5 → 3

Box-6 → log₄

Box-7 → y

There is the (+) sign in Box-4.

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An open box is made from a square piece of cardboard 30 inches on a side by cutting identical squares and turning up the sides.
pychu [463]

Step-by-step explanation:

A)

The length of the box is 30 − 2x inches.

The width of the box is 30 − 2x inches.

The height of the box is x inches.

So the volume is:

V = x (30 − 2x)²

B)

V(3) = 3 (30 − 6)² = 1728

V(4) = 4 (30 − 8)² = 1936

V(5) = 5 (30 − 10)² = 2000

V(6) = 6 (30 − 12)² = 1944

V(7) = 7 (30 − 14)² = 1792

As x increases, the volume of the box increases to a maximum and then decreases.

C)

The ends of the domain occur when V = 0.

0 = x (30 − 2x)²

x = 0 or 15

So the domain is (0, 15).

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3 years ago
How many triangles can be constructed with angles measuring 80 degrees 80 degrees and 40 degrees
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Zero.

The sum of these angles is 200°. The sum of angles in a triangle must be 180°. These angles cannot be used to form a triangle.
3 0
3 years ago
Read 2 more answers
12. The average bowling score of the 5-member in Regional High School bowling team is 128. If all the members of the team get th
mel-nik [20]

Answer:

C

Step-by-step explanation:

The average is the total of the scores divided by 5.  

128 x 5 Gives us the total scores of 640.  I know that one bowler had a score of 160.  I will subtract that from the total of 640.  640-160 = 480.  Since the 4 bowlers left, all had the same score, I will divide 480 by 4 to get 120

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2 years ago
What is the answer of this
Aleks04 [339]

Answer:

\frac{25}{32}

Step-by-step explanation:

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Now you're one of us

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6 0
3 years ago
During one year, Mark drove his car a total distance of 2.0 x 10^4 miles. He drove for
maksim [4K]

Answer:

0.44 miles/ mins

Step-by-step explanation:

Speed = distance/time

Given

Distance = 2.0 x 10^4 miles

Time = 4.5 x 10^4 mins

Therefore

Speed = 2.0 x 10^4 /4.5 x 10^4

= 0.44 miles /minutes

4 0
4 years ago
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