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makkiz [27]
3 years ago
12

A teacher used the change of base formula to determine whether the equation below is correct.

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

Answer is B

The equation is correct since(log2^10)(log4^8)(log10^4)=log10/log2*log8/log4*log4/log10

=log8/log2

=3

Step-by-step explanation:

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Grant earns $5 for each magazine he sells.Write an equation in two variables showing the relationship between the number pf maga
slega [8]

Answer:

A=5m

Grant will make $60 from selling 12 magazines.

Step-by-step explanation:

Let m represent number of magazine sold and A represent amount of money earned.

We have been given that Grant earns $5 for each magazine he sells. So amount earned from m magazines would be 5 times m that is 5m dollars.

Now, we will equate total amount earned by Grant with A as:

A=5m

Therefore, our required equation would be A=5m.

To find the amount earned by Grant by selling 12 magazines, we will substitute m=12 in our equation as:

A=5(12)

A=60

Therefore, Grant will make $60 from selling 12 magazines.

3 0
3 years ago
Find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
ExtremeBDS [4]

Combining of the two cylinders gives a composite figure that has the surface area of a solid cylinder of radius 7 mm and height 6 mm, such that the surface area of the figure is approximately 571.5 mm².

<h3>Which method can be used to find the surface area of the figure?</h3>

Radius of the inner cylinder, <em>r</em> = 3 mm

Radius of the outer cylinder, <em>R</em> = 7 mm

Height of the cylinders, <em>h</em> = 6 mm

Given that the inner cylinder exactly fits into the outer cylinder, we have;

The surface area of the composite figure is the surface area of the hollow outer cylinder + The area of the top and bottom of the inner cylinder.

Which gives;

The surface area of the composite figure, <em>A</em>, is the surface area of a solid cylinder, using the dimensions of the hollow outer cylinder.

  • A = 2•π•R² + 2•π•R•h

Which gives;

  • A = 2 × π × 7² + 2 × π × 7 × 6

Where, π = 3.14, we have;

A = 2 × 3.14 × 7² + 2 × 3.14 × 7 × 6 ≈ 571.5

  • The surface area of the composite figure, <em>A </em>≈ 571.5 mm²

Learn more about the analyzing of composite figures here:

brainly.com/question/21135654

#SPJ1

4 0
2 years ago
A large high school offers AP Statistics and AP Calculus Among the seniors in this school 65% take AP Statistics, 45% take AP Ca
Igoryamba

Answer:

0.8

Step-by-step explanation:

P(AP statistics) = 65%

P(AP Calculus) = 45%

P(AP statistics n AP Calculus) = 30%

Probability of AP statistics or AP Calculus but not both :

Probability of event A or B :

P(AUB) = p(A) + p(B) - p(AnB)

P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)

= 0.65 + 0.45 - 0.30

= 0.8

= 80%

4 0
2 years ago
Is 0.045 greater than 0.00195​
andrezito [222]

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

4 0
2 years ago
They are asking me to find the lcm of 6x2zy3,9x3y2z2,4x2z
Dimas [21]

Answer:

01133456385652+3+563206+5++323512652+52+56262626+52626256262625151561561215615165546465436465643436454663546463463894834983543875349753957935748459548948957438754893573985839459853857438548958488388888844444444444444238373985348489179487788

Step-by-step explanation:

3 0
3 years ago
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