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2 years ago

Simplify the given exponential expression.

Mathematics

2 answers:

lilavasa [31]2 years ago

8 0

When we multiple exponential numbers we add the exponents so we get:
$x^{9+2} = x^{11}$

Andrews [41]2 years ago

6 0

The rule for multiplying similar bases with exponents is:

(a^b)*(a^c)=a^(b+c)

In this case you have:

(x^9)(x^2)

x^(9+2)

x^11

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Simpligy the expression 7(x+7)-3(x+3)

Irina18 [472]

We will use the distributive property, where $a(b+c) = ab+ac$ and $a(b-c) = ab-ac$ .

$7(x+7)-3(x+3)$

$=7x+49-(3x+9)$

$=4x+40$

Therefore, the simplified expression is 4x+40.

6 0

2 years ago

3 ways to write the ratio 6 dogs to 5 cats.*

BigorU [14]

9514 1404 393

Answer:

• 6/5, 6 to 5, and 6:5

Step-by-step explanation:

Consider the answer choices:

A -- only 2 ways are listed; not a choice when 3 ways are required

B -- the appropriate choice

C, D -- ratios of 5 to 6, not 6 to 5.

5 0

2 years ago

Read 2 more answers

Casey was the first customer to receive both a free cookie and a free muffin. What number customer was Casey? Show or explain ho

faust18 [17]

Answer:

she was the 18th customer

Step-by-step explanation:

every 6 gets a cookie and every 9th gets a muffin

she is the third to get a cookie and the second to get a muffin.

3 0

2 years ago

Space Shuttle Marion is observing the launch of a space

Vera_Pavlovna [14]

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

$\tan{16^\circ} = \frac{1}{x_1}$

$x_1 = \frac{1}{\tan{16^\circ}}$

$x_1 = 3.5$

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

$\tan{74^\circ} = \frac{1}{x_2}$

$x_2 = \frac{1}{\tan{74^\circ}}$

$x_2 = 0.3$

The distance is:

$d = x_1 - x_2 = 3.5 - 0.3 = 3.2$

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at brainly.com/question/18090623

3 0

1 year ago

Find the side lengths the cube X

s344n2d4d5 [400]

Answer:

x = 6

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular end and l is its length )

A = $\frac{1}{2}$ bh = 0.5 × 9 × 4 = 18 cm² , then

V = 18 × 12 = 216 cm³

The volume of a cube is

V = s³ ( s is the side length ) , so

s³ = x³ = 216 ( take the cube root of both sides )

x = $\sqrt[3]{216}$ = 6

7 0

2 years ago