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2 years ago

What’s the definition of a IF- then form

1 answer:

8 0

An original conditional statement written in if- then form uses words "if" and "then". The "if" part contains the hypothesis and the "then" part contains the conclusion.

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Michael drove 210 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 413 miles?

Mkey [24]

Answer:

210x=3717

x-3717/210

x=7.7 gal1

Step-by-step explanation:

3 0

2 years ago

1. Find the slope of the line:

Flura [38]

Answer:

Step-by-step explanation:

Slope=rise/run

=4 blocks/ 1 block

Since 1 block=5 units,

slope= $\frac{5\times 4}{1}=20$

8 0

2 years ago

Shortly after their arrival, Europeans began introducing pigs to the Americas as a source of food. Some escaped, and others were

natka813 [3]

Answer: About 800 thousand

The more accurate value is 807,528 but this is also an approximation.

=======================================================

Work Shown:

$t = \text{number of years since the year 2000}$

$P_0 = \text{population (in millions) in the year 2000}$

$P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\$

That's the rough population of wild pigs (in millions) for the year 2000.

Multiply by $10^6$ to get it in terms of units instead.

$0.807528\times10^6 = 807,528$

There were roughly 800 thousand wild pigs in the year 2000.

7 0

1 year ago

Plot the image point P under the translation (x,y)→(x-4,y-6).

Vesnalui [34]

(−6,−4) would be your answer! (:

4 0

1 year ago

Which of the following best explains why

Dima020 [189]

We can see values of angles in degrees first

$\frac{5\pi}{6} = \frac{5 \times 180}{6}= \frac{900}{6}$ = 150°

Similarly

$\frac{5\pi}{3} = \frac{5 \times 180}{3}= \frac{900}{3}$ = 300°

Now reference angle means positive acute angle they will have

As we can see in attachment 150° lies in second quadrant so its reference angle will be 180°-150° = 30° from x axis line as shown.

Where as angle 300° lies in fourth quadrant so its reference angle will be 360° - 300° = 60° from x axis as shown. So clearly both reference angles are different . So 1st choice " angles donot have same reference angle" best explains it

Choice (2) and (3) are incorrect as tan is positive only in first and third quadrants and angle 300° is in fourth quadrant.

since angle 150° is in second quadrant and 300° is in fourth quadrant so both will have same negative sign so choice (4) is not correct.

So final ansewr is choice (1) "the angles donot have same reference angle"

8 0

3 years ago