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3 years ago

The table shows a pattern of exponents. What is the pattern as the exponents decrease?

Mathematics

2 answers:

zaharov [31]3 years ago

6 0

Answer:

there is no table but the answer is option c

Step-by-step explanation:

as the exponents decrease you have to divide the previous value by 5.

125 divided by 5 = 25

25 divided by 5 is 5

5 divided by 5 = 1

1 divided by 5 = 0.2 and 0.2 is an equivalent to 1/5

1/5 divided by 5 = 1/5 divided by 5/1 switch 5/1 over and its 1/5 so that's why its 1/5 x 1/5 .

= 1/5 x 1/5

1/5 x 1/5 = 1 /25

so the pattern of the exponents as they decrease is to divide the previous value by 5.

goldfiish [28.3K]3 years ago

3 0

Answer:

where is the table

Step-by-step explanation:

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The distance Train A travels is represented by d = 67t, where d is the distance in kilometers and t is the time in hours. The di

Thepotemich [5.8K]

Answer:

Train A's unit rate is 67 km per hour.

Train B's unit rate is 75 km per hour.

Train B is faster than Train A

Step-by-step explanation:

Train A

Distance traveled by Train A is represented by :

$d=67t$

where $d$ represents distance traveled in kilometers and $t$ is the time in hours.

To find the unit rate of Train A, we will plugin $t=1$ and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.

$d=67(1)$

$d=67$

So, distance traveled by Train A in 1 hour = 67 km

∴ Train A's unit rate is 67 km per hour.

Train B

For Train B, we are given the table for the time in hours and distance traveled in that duration.

Taking time =2 hours the distance traveled by Train B= 75 km

To find distance traveled in 1 hour we apply unitary method.

$2\ hr = 150\ km$

So $1\ hr = \frac{150}{2}\ km = 75\ km$

So, distance traveled by Train B in 1 hour = 75 km

∴ Train B's unit rate is 75 km per hour.

Difference in units rates = $75-67=8\ km/hr$

On comparing their unit rate i.e. the speed of the trains we find out that Train B is faster than Train A by 8 km/hr

3 0

4 years ago

The m∠B is two more than three times the measure of ∠C. If ∠B and ∠C are complementary angles, find the measures of both angles.

allsm [11]

Answer:

B = 68° and C = 22°

Step-by-step explanation:

Let angle B's measure be B and angle C's measure be C.

Also note that complementary means that they sum to 90.

Now:

The m∠B is two more than three times the measure of ∠C:

we can write:

B = 3C + 2

If ∠B and ∠C are complementary angles:

B + C = 90

Putting 1st equation in 2nd, we get:

B + C = 90

3C + 2 + C = 90

4C = 90 - 2

4C = 88

C = 88/4 = 22

Now B = 3C + 2, so

B = 3(22) + 2 = 68

Hence, B = 68 degrees and C = 22 degrees

7 0

3 years ago

A rental car agency charges $220.00 per week, plus $0.15 per mile to rent a car How many miles can you travel in one for $319.00

lawyer [7]

Hey!

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

We Know:

$220 per week.

$0.15 per mile you drive.

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

Solution:

325 - 220 = 105

105 / 0.15 = 700

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

Answer:

You can drive 700 miles in one week for $325!

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

Hope this helped! Good Luck ;)

8 0

3 years ago

Help me by finding this

rodikova [14]

n = –1

24/3x=8x^n

8/x=8x^n ]÷8

1/x= x^n

x-¹=x^n

n=–1

7 0

3 years ago

X^3 + 2x^2 – 24x ^ write the polynomial in factored form

BigorU [14]

Answer:

x(x+6)(x-4)

Step-by-step explanation:

They all have x in it, which means we can factor out x first.

x(x^2 + 2x -24)

Now we can factor out the inside doing algebra.

Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).

We still have to multiply the x from the beginning, giving us a final equation of

x(x+6)(x-4).

8 0

3 years ago