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3 years ago

Select the expression that is equivalent to (picture)

Mathematics

1 answer:

seraphim [82]3 years ago

6 0

The answer to this question is x^(rt + s) since (x^r)^t becomes x^(rt) by the exponent power of a power property. Then multiplying powers of the same base results in the exponents being summed.

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The following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10

Oksanka [162]

The distance from their house the Bensons' after 412 hours will be 18, 640 miles

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

A function is an expression or rule that explains the relationship between a dependent and independent variable.

Given the function;

d= 45 t + 100

Where;

d is the total distance
t is the time taken

If t = 412 hours

Substitute into the formula

d = 45 ( 412) + 100

d = 18540 + 100

d = 18, 640 miles

Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles

Learn more about functions here:

brainly.com/question/2456547

#SPJ1

6 0

2 years ago

There are 96 new houses being built in a neighborhood. Last month,1 over 4 of them were sold. This month, 1 over 3 of the remain

Elis [28]

1/4 of 96 were sold... replace "of" with ×

1/4 × 96 = 96/4 = 24

So the first month 24 houses were sold so that leaves...

96 - 24 = 72 houses.

1/3 of 72 were sold the next month

1/3 × 72 = 72/3 = 24

24 houses were sold the second month so there are...

72 - 24 = 48 houses left

8 0

3 years ago

(−8p ^3 +9p ^2q −5pq ^2) + (8p ^3 − pq + 5q ^2)

wariber [46]

Answer:

9p^2q-5pq^2-pq+5q^2

Step-by-step explanation:

6 0

3 years ago

Factor 30-6v-18w30−6v−18w30, minus, 6, v, minus, 18, w to identify the equivalent expressions.

kompoz [17]

Answer:

Option C.

Step-by-step explanation:

The given expression is

$30-6v-18w$

We need to find the expression which is equivalent to the given expression.

The given expression can be rewritten as

$6\times 5-6\times v-6\times 3w$

The greatest common factor (G.C.F.) is 6. Taking out G.C.F., we get

$30-6v-18w=6(5-v-3w)$

Hence, the correct option is C.

7 0

4 years ago

I need help ASAP! It's urgent.. PLISSSSS

natali 33 [55]

Answer:

a) 6 mins

b) 70km/h

c) t= 45

Step-by-step explanation:

a) The bus stops from t=10 to t=16 minutes since the distance the busvtravelled remained constant at 15km

Duration

= 16 -10

= 6 minutes

b) Average speed

= total distance ÷ total time

Total time

= 24min

= (24÷60) hr

= 0.4 h

Average speed

= 28 ÷0.4

= 70 km/h

c) Average speed= total distance/ total time

Average speed

= 80km/h

= (80÷60) km/min

= 1⅓ km/min

1⅓= 28 ÷(t -24)

since duration for return journey is from t=24 mins to t mins.

$\frac{4}{3}$ (t -24)= 28

$\frac{4}{3}$ t - 32= 28

$\frac{4}{3}$ t= 32 +28

$\frac{4}{3}$ t= 60

t= $6 0\div \frac{4}{3}$

t= 45

*Here, I assume that this is a displacement- time graph, so the distance shown is the distance of the bus from the starting point because technically if it is a distance-time graph, the distance would still increase as the bus travels the 'return journey'.

Thus, distance is decreasing after t=24 and reaches zero at time= t mins so that is the return journey. (because when the bus returns back to starting point, displacement/ distance from starting point= 0km)

5 0

4 years ago