All categories

3 years ago

Which expression is equivalent to 3 to the fourth power times 3 to the 9th power

1 answer:

6 0

3 to fourth power=3^4
3 to ninth power =3^9
Now,
3 to fourth power times to the ninth power=3^4*3^9
the basis same so the powers will add:
3^(4+9)=3^13=1594323

You might be interested in

PLEASE HELP!!! Write the equation of a line that goes through the point (6, 3) and is perpendicular to the line y = 4x + 1.

Tpy6a [65]

For this case we have that by definition, the equation of a line in the point-slope form is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It is the slope of the line and $(x_ {0}, y_ {0})$ is a point through which the line passes.

We have the following equation of the slope-intersection form:

$y = 4x + 1$

Where the slope is $m = 4$

By definition, if two lines are perpendicular then the product of their slopes is -1.

Thus, a perpendicular line will have a slope:

$m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4}\\m_ {2} = - \frac {1} {4}$

Thus, the equation will be of the form:

$y-y_ {0} = - \frac {1} {4} (x-x_ {0})$

Finally we substitute the given point and we have:

$y-3 = - \frac {1} {4} (x-6)$

Answer:

Option B

8 0

2 years ago

How many ways can six friends be arranged around a circular dinner table?

Mice21 [21]

A question such as this one is a little tricky since the people seated are not in a straight line.

For a circular table seating question, (n-1)! formula is used. Without restrictions 5! people can be seated.

You might be wondering why it is not 6!, this is because the first person will the the 6 person so you are accounting for the same person twice.

Hope I helped :)

6 0

2 years ago

Help please this is urgent

yulyashka [42]

Answer:

64 degrees.

Step-by-step explanation:

This is because the arrow that is not horizontal is pointing to that number.

3 0

2 years ago

The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?

sp2606 [1]

Answer:

length=4 1/4

Step-by-step explanation:

1 3/4 + 2 1/2
convert 2 1/2 into 2/4 since 2 is half of 4
add the converted number and 1 3/4 fractions
2/4 and 3/4 added will make 1 1/4
add 1 1/4, 2 and 1 and it will equal 4 1/4

7 0

2 years ago

Are these figures are similar? If so, what is the scale factor?

tester [92]

Answer:

Yes, the scale factor is 0.6 repeating, or 0.7.

Step-by-step explanation:

You find the scale factor by dividing the smaller sides by the corresponding larger ones.

12/18 = 0.6 repeating

14/21 = 0.6 repeating

16/24 = 0.6 repeating

These triangles could be similar by SSS or SAS or ASA I think since congruent angles are shown in both triangles as well.

8 0

2 years ago