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goblinko [34]
3 years ago
6

A Population of spiders a lab, p(x), can be modeled by the function p(x) =400(1.012)^x, where X represents the number of days si

nce population was first counted. When will the population be 550?
Mathematics
1 answer:
iren [92.7K]3 years ago
4 0
<h2>Population becomes 550 in 27 days</h2>

Step-by-step explanation:

The population of spiders in a lab is modeled by the function P(x)=400(1.012)^{x}, where x represents the number of days since population was first counted.

   Consider that after t days, the population of spiders has grown to 550. We need to find such t.

550=400(1.012)^{t}

(1.012)^{x}=\frac{550}{400}=1.375

Applying logarithm on both sides,

xlog_{10}(1.012)=log_{10}(1.375)

x=\frac{log_{10}(1.375)}{log_{10}(1.012)}=26.6967

∴ It takes about 27 days for the population to become 550.

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Sav [38]
Answer: 180cm


Explanation:

The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.

1/2(6)(12) = 36cm
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For square: 6 • 6 = 36cm


144cm + 36cm = 180cm
8 0
3 years ago
Circle theorem <br> This is a very easy question but i just can't seem to be able to answer it
xxMikexx [17]

The measure of <FCD is 77 degrees

<h3>Circle geometry</h3>

From the given diagram, we have the following:

m<FCD + 90 + m<F = 180 degrees

Given the following parameters

m<BEO = 13 degrees = m<F

Substitute into the formula:

m<FCD + 90 +13 = 180 degrees

m<FCD = 180 - 103

m<FCD = 77 degrees

Hence the measure of <FCD is 77 degrees

Learn more on circle geometry here; brainly.com/question/24375372

5 0
2 years ago
I need help solving this question with explaining please <br> ANSWER ASAP!!!!!!!!!
andrew11 [14]

x = 85 degrees and

y = 45 degrees.

Step-by-step explanation:

Step 1:

The angle for a straight line is 180°. The sum of the angles in a triangle is 180°. These two statements are required to solve this problem.

The angles of x° and 95° are on a single straight line.

So x^{\circ} + 95^{\circ} = 180^{\circ}.

x^{\circ} = 180^{\circ} - 95^{\circ} = 85^{\circ} .

So the angle of x is 85°.

Step 2:

The sum of the angles in a triangle is 180°.

So 50^{\circ} + x^{\circ} + y^{\circ} =180^{\circ}.

50^{\circ} + 85^{\circ} + y^{\circ} =180^{\circ}.

y^{\circ} =180^{\circ} - 135^{\circ}, y = 45 ^{\circ}.

So the angle of y is 45°.

6 0
3 years ago
In 2010, the population of a city was 114,000. From 2010 to 2015, the population grew by 7.7%. From 2015 to 2020, it fell by 6.6
vovikov84 [41]

Answer:

From 2010 to 2015 the population grew by 8778 (rounded answer 8800)

Step-by-step explanation:

*

6 0
2 years ago
How many distinct variables does the expression below<br> contain?<br> 2x^5+xy^4-zx
Naya [18.7K]
It has 4 extinct variables in the equation.
8 0
2 years ago
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