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3 years ago

Logb A=2 and logb B=-3. Find logb AB

Mathematics

1 answer:

MrRa [10]3 years ago

8 0

Answer:

- 1

Step-by-step explanation:

using the rule of logarithms

log x + log y ⇔ log(xy), hence

$log_{b}$ AB = $log_{b}$ A + $log_{b}$ B = 2 - 3 = - 1

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A large airplane has 3 sections of seating, with 75 seats in each section. Which pair of expressions shows two ways to determine

valentina_108 [34]

Answer:

You can either multiply 3 by 75 or do 75+75+75

thats pretty much it

Step-by-step explanation:

7 0

3 years ago

Hershey’s is making pumpkin-shaped chocolates for Halloween. These are spherically formed with a radius of 2 cm. What is the min

Lady_Fox [76]

Answer:

Sa = 1.5*V

Step-by-step explanation:

We have that the surface area of a sphere has the following formula:

Sa = 4*pi*r^2

we know that r = 2, so if we replace it, we're left:

Sa = 4*pi*(2^2)= = 4*pi*4

Sa = 16*pi

Now, the volume has the following formula:

V = 4/3*pi* r^3

Replacing it is our job:

V = 4/3*pi* (2^3) = 4/3*pi*8

V = 32/3*pi

Now, Sa/V, it would remain:

Sa/V = 16*pi / 32/3*pi

Sa/V = 48/32 = 1.5

Therefore, Sa = 1.5*V

4 0

3 years ago

In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

Svetach [21]

Answer:

PR5T represents 6754.

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

P R 5 T

- 4 7 Y 6

-----------------

1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 i.e. T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

P R 5 4

- 4 7 Y 6

-----------------

1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is 6754.

5 0

3 years ago

Chuck E Cheese charges for the number of hours you rent the party room and the number of

e-lub [12.9K]

Answer:

Step-by-step explanation:

im sry i dont know

7 0

3 years ago

Determine whether each expression is equivalent to 49^2t – 0.5.

vampirchik [111]

Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

$7^2^{(2t - 0.5)}$

Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

$7^{(4t - 1)}$

This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

$\frac{(7 * 7)^{t}}{49^{0.5}}$

$\frac{49^{t}}{49^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

This is not equivalent to $49^{(2t - 0.5)}$

B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

$\frac{(7*7)^{2t}}{7^{0.5}}$

$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

$(a^m)^n = a^{mn}$

Applying this law to the numerator; we have

$\frac{7^{2*2t}}{7^{0.5}}$

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

This is also not equivalent to $49^{(2t - 0.5)}$

C. $7^{2t}\ *\ 49^{0.5}$

$7^{2t}\ *\ (7^2)^{0.5}$

$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

6 0

3 years ago