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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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Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num
Brilliant_brown [7]

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be  m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is  ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg  = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

7 0
3 years ago
What is the distance between the points (5.-18) and (8,
romanna [79]

Answer:

\sqrt{10}

Step-by-step explanation:

The horizontal distance from points (5,-18) and (8,-17) is 3 because it is 3 units from 5 to 8.  The vertical distance is 1 since it is one unit from -18 to -17.  Now we can use the equation a^{2}+b^{2}=c^{2} where a=3 and b=1 and c is the distance that you are looking for:

a^{2} +b^{2} =c^{2}\\3^{2} +1^{2} =c^{2}\\9+1=c^{2}\\10=c^{2}\\\sqrt{10}=c

8 0
3 years ago
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Find each difference. Write in simplest form 7/8-5/8=
Ivanshal [37]
7/8-5/8= 2/8 and if you reduce 2/8 by 2 it becomes 1/4. So 1/4 is your answer. Hope This Helps :D
5 0
4 years ago
PLS HELP !!! I NEED HELP PLS ILL APPRECIATE IT SM!
bazaltina [42]

Answer:

\frac{3}{4}

Step-by-step explanation:

ok so first you want to find a common factor. For instance, 3. So divide the numerator and denominator by 3. This will give you the fraction of \frac{3}{4}.

5 0
3 years ago
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I need help<br> If you know this answer plz give it ta meh
Oksana_A [137]

Answer:

4.9 units

Step-by-step explanation:

We are dealing with a Right angle triangle, and the c is actually the hypotenuse. We are given the measures of a and b.

a being 4, and b being 3.

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we can rewrite this as;

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Calculation time

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4.9 units

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3 years ago
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