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3 years ago

The graph of the function is shown below: f(x) = 4 * 3^x

Mathematics

1 answer:

Ksju [112]3 years ago

4 0

Answer:

-T

Step-by-step explanation:

Im not the greatest at math but thats what i got.

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Solutions for Two distinct parabolas

SpyIntel [72]

The equation may also have one common root or no real roots. This gives the maximum number of points where the parabola intersect as 2. ... When that is the case, the twp parabolas intersect at 4 distinct points. The maximum number of points of intersection of two distinct parabolas is 4.

5 0

3 years ago

The population of a town has grown at an annual rate of 2.7%. How long does it take for it’s population of 18,450 people to doub

charle [14.2K]

It would take 26 years.

The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have

y = 18450(1+0.027)ˣ = 18450(1.027)ˣ

We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ

Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ

Using logarithms, we have
$\log_{1.027}2=x
\\
\\x=26.017$

3 0

3 years ago

Help pls im being timed

Nitella [24]

The trigonometric ratios show that the angle FHE is 48.59°.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: $(hypothenuse)^2=(leg_1)^2+(leg_2)^2$ . And the main trigonometric ratios are:

$sin(\alpha) =\frac{opposite \;leg }{hypotenuse} \\ \\ cos(\alpha) =\frac{adjacent\;leg }{hypotenuse} \\ \\ tan(\alpha) =\frac{sin(\alpha )}{cos(\alpha )}= \frac{opposite \;leg }{adjacent\;leg } \\ \\$

It is important to remember that the sum of internal angles for any triangle is 180°.

From the question, it is possible to see 2 right triangles (HGF and FHE).

You can find the hypotenuse of the triangle HGF from the trigonometric ratio: sen Θ

$sin45=\frac{opposite\; leg }{hypotenuse} =\frac{\sqrt8}{hypotenuse}\\ \\ \frac{\sqrt{2} }{2} =\frac{\sqrt{8} }{hypotenuse} \\ \\ \sqrt{2}*hypotenuse=2\sqrt{8} \\ \\ hypotenuse=\frac{2\sqrt{8} }{\sqrt{2}} =2\sqrt{4} =2*2=4$

The hypotenuse of triangle HGF is one of legs for the triangle FHE. The, you can find the angle FHE from the trigonometric ratio: tan β. Thus,

$sin \beta =\frac{opposite\; leg }{adjacent\; leg} =\frac{3}{4}\\ \\ sin \beta=\frac{3}{4}=0.84806\\ \\ arcsin\beta =48.59^{\circ \:}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

7 0

2 years ago

Appreciate the help with answering this question . Thank you !

skad [1K]

Step-by-step explanation:

c^2 = a^2 + b^2

$\sqrt{40 ^{2} + 30 {}^{2} } = 50$

$\sqrt{60 {}^{2} - 40 {}^{2} } = 44.7$

6 0

3 years ago

Answer the following answer this for me please I need help.

scoray [572]

Since the square root of 13 is something really weird (3.6055 something) and does not have a clear end or repeats, it is irrational. Solve for the number before assuming anything

5 0

3 years ago