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3 years ago

Which expression is equivalent to b^m x b^n? A. b^m+n B. b^m-n C. b^mx n D. b^m/n

Mathematics

2 answers:

astra-53 [7]3 years ago

7 0

Answer:

The expression which is equivalent to

$\rightarrow b^m \times b^n\\\\=b^{m+n}\\\\\rightarrow x^a*x^b=x^{a+b}$

Option A

noname [10]3 years ago

4 0

The formula for multiplying exponents are such below.

(b^m)^n = b^mn
b^m/b^n=b^(m-n)
b^m x b^n=b^(m+n)

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An Archer shoots an arrow horizontally at 250 feet per second. The bullseye on the target and the arrow are initially at the sam

Genrish500 [490]

Answer:

Step-by-step explanation:

Using the formula for finding range in projectile, Since range is the distance covered in the horizontal direction;

Range $R = U\sqrt{\frac{H}{g} }$

U is the velocity of the arrow

H is the maximum height reached = distance below the bullseye reached by the arrow.

R is the horizontal distance covered i.e the distance of the target from the archer.

g is the acceleration due to gravity.

Given R = 60ft, U = 250ft/s, g = 32ft/s H = ?

On substitution,

$60 = 250\sqrt{\frac{H}{32}} \\\frac{60}{250} = \sqrt{\frac{H}{32}}\\\frac{6}{25} = \sqrt{\frac{H}{32}$

Squaring both sides we have;

$(\frac{6}{25} )^{2} = (\sqrt{\frac{H}{32} } )^{2} \\\frac{36}{625} = \frac{H}{32} \\625H = 36*32\\H = \frac{36*32}{625} \\H = 1.84feet$

The arrow will hit the target 1.84feet below the bullseye.

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2 years ago

It is the morning of the sandcastle-building competition at the beach. Dory has been looking forward to this event for months. A

zvonat [6]

One way is by comparing the weather for today as compared to the rest of the week or month.

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2 years ago

Read 2 more answers

Please help!

Reika [66]

Answer:

(1,-5)

Step-by-step explanation:

The given system of inequalities are;

$y\:$

and

$y\:$

The point that is a solution will satisfy the two inequalities.

Checking for (1,-5)

$-5\:$ and $-5\:$

$-5\:$ : True $-5\:$ : True

This point lies in the solution region.

Checking for (1,5)

$5\:$ and $5\:$

$5\:$ : False $5\:$ : False

This point does not lie in the solution region.

Checking for (5,1)

$1\:$ and $1\:$

$1\:$ : False $1\:$ : True

This point does not lie in the solution region.

Checking for (-1,5)

$5\:$ and $5\:$

$5\:$ : True $5\:$ : False

This point does not lie in the solution region.

4 0

3 years ago

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Using n for the number of jerseys ordered and c for the total cost in dollars,

mr Goodwill [35]

Answer:

98$

Step-by-step explanation:

4 0

3 years ago

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1/4x – 2 = 3/8 Please show an equation and work. :)

Julli [10]

1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
$\frac{x}{4} - 2 = \frac{3}{8}$

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
$\frac{x}{4} = \frac{3}{8} + 2$

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
$\frac{x}{4} = \frac{19}{8}$

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
$x = \frac{19}{8} \times 4$

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
$x = \frac{76}{8}$

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
$76 \div 4 = 19 \\ 8 \div 4 = 2$

Answer in fraction form: $\fbox {x = 19/2}$
Answer in decimal form: $\fbox {x = 9.5}$

8 0

3 years ago