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3 years ago

How do you solve this step by step ?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

4 0

Remembering that "slope" signifies "rise" over "run," read off the rise and run from the illustration. If we start at x=-4 and move to the right 4 units, x becomes 0. The "run" is thus 4. At the same time, y increases from 0 to 2, and so the "rise" is 2.

The slope is rise/run = 2/4 = 1/2.

The y-intercept can also be read off the graph: Find the y-value on the x-axis where the graph (the sloping line) crosses the y-axis. It's 2.

Thus, the equation of this line is y = mx + b, or y = (1/2)x + 2.

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Selena is simplifying the expression (6 h Superscript 5 Baseline) squared. She wrote (6 h Superscript 5 Baseline) squared = box

Dmitry [639]

Answer:

Step-by-step explanation:

Selena wants to simplify: $(6h^5)^2$

She wrote: $(6h^5)^2=\boxed{.}h^{10}$

We want to determine what should be inside the box.

Using the index of an index law of indices: $(ab)^t=a^tb^t$

Therefore:

$(6h^5)^2=6^2h^{5\times 2}=\boxed{36}h^{10}$

Therefore, the number Selena should put in the box is 36.

4 0

4 years ago

Read 2 more answers

Nine-banded armadillos always give birth to quadruplets—four identical babies (called pups). Jenny’s armadillo has produced four

Lerok [7]

Answer:

a. 16; b. aₙ = 4ⁿ⁻¹; c. predation and carrying capacity will limit the population

Step-by-step explanation:

a. The first female had 4 pups.

If each of them had 4 pups, there would be 4 × 4 = 4² = 16 pups.

b. 1st generation = 1 pup

2nd generation = 4 × 1 pup = 4 pups

3rd generation = 4 × 4 pups = 16 pups

4th generation = 4 × 16 pups = 64 pups

5th generation = 4 × 64 pups = 256 pups

The sequence is 1, 4, 16, 64, 256, …

We can also write it as 4⁰, 4¹, 4², 4³, 4⁴, …

Note that the exponent is one less than the number of the generation.

Thus, the general formula for the nth term, aₙ, is

aₙ = 4ⁿ⁻¹, where

n = the number of the generation

a = the number of pups in that generation.

c. a₂₅ = 4²⁵⁻¹ = 4²⁴ ≈ 281 000 000 000 000 or 281 trillion

The population would not reach that number because there would not be enough food for all those pups. Pups would die of starvation until their numbers equalled the carrying capacity of the ecosystem and would level off at that point.

There would also be increased predation by coyotes, bobcats, etc. This would also keep the population growth in check,

8 0

3 years ago

HELP, WILL GIVE 100 POINTS

Inessa [10]

Answer:

It's A trust me! :D

Step-by-step explanation:

5 0

3 years ago

Monica runs on a treadmill at an average speed of 7.5 miles per hour for 15 minutes. If, the next day, she runs the same distanc

telo118 [61]

Answer:

Option 2: 14.06 minutes

Step-by-step explanation:

For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit

So,

15 minutes = 1/4 hours = 0.25 hours

Speed = 7.5 miles per hour

Now using the speed, distance and time formula

Speed = distance/time

$Speed = \frac{distance}{time}$

$7.5 = \frac{distance}{0.25}$

$7.5 * 0.25 = Distance$

Distance = 1.875 miles

So the distance for 1st day is 1.875 miles.

For next day

Speed = 8 miles per hour

Distance = 1.875

So,

$speed = \frac{distance}{time}$

$8 = \frac{1.875}{time}$

$time = \frac{1.875}{8}$

$time = 0.234375 hours$

Converting the hours into minutes will give

0.234375 * 60 min = 14.0625 minutes

Rounding off to two decimals = 14.06 min

So 2nd option is correct..

6 0

4 years ago

Sue's Sushi placed two orders with its fish supplier. One order was for 15 pounds of salmon and 8 pounds of tuna; the order tota

postnew [5]

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8 0

3 years ago

Read 2 more answers