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2 years ago

3^x+2 + 3^x+1 = 4/3 solve

1 answer:

8 0

${3}^{x + 2} + 3 ^{x + 1} = \frac{4}{3} \\ = > {3}^{x} \times {3}^{2} + {3}^{x} \times 3 = \frac{4}{3} \\ = > {3}^{x} \times 9 + {3}^{x} \times 3 = \frac{4}{3} \\ = > {3}^{x} (9 + 3) = \frac{4}{3} \\ = > {3}^{x} \times 12 = \frac{4}{3} \\ = > {3}^{x} = \frac{4}{3} \times \frac{1}{12} \\ = > {3}^{x} = \frac{1}{3 \times 3} \\ = > {3}^{x} = {3}^{ - 2} \\ = > x = - 2$

Answer:

x = -2

Hope you could understand.

If you have any query, feel free to ask.

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What is the scale factor for pre-image IJKH to image MNOL?

solniwko [45]

Answer:

Step-by-step explanation:

Given are two rectangles MNOL and IJKH

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OBviously similarity is preserved between these.

Hence sides will be proportional

i.e. l1/l2 = w1/w2 = Scale factor k

This can also be written as

Scale factor square = $k^2=\sqrt{ \frac{areaI}{area2} }$

Scale factor = square root of ratio of rectangle areas

Find ratio as

$\frac{375}{135} =\frac{25}{9}$

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= $\frac{5}{3}$

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3 years ago

Round the following numbers to the nearest len 1)7 2)23 3)1.562

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2 years ago

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The decay of 942 mg of an isotope is described by the function A(t)= 942e-0.012t, where t is time in years. Find the amount left

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3 years ago

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An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating are

Sphinxa [80]

Answer:

Perimeter: 174.8 m

Area: 1,394 sq m

Step-by-step explanation:

First, the perimeter.

Before we start, let's calculate the circumference of the half-circles at the ends of the field.

The measurement says 2,000 cm, so let's convert it to 20 m for ease.

Circumference of a circle: πd, where d = diameter.. in our case d = 20 m

Circumference of a 20m diameter circle: 20π = 62.8 m

We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m

We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m

We also need to find out the space between the seating area... We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m

So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:

P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m

The total perimeter is then of 174.8 m

For the area, we need to calculate the area of all forms:

Large rectangular pitch:

LR = 40 x 20 = 800 sq m

The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.

AC = π (10)² = 100 π = 314 sq m

Then the seating areas:

SA1 = 25 x 8 = 200 sq m

SA2 = 10 x 8 - 80 sq m

Then, we add up everything:

TA = LR + AC + SA1 + SA2

TA = 800 + 314 + 200 + 80 = 1,394 sq m

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3 years ago

The point given is on the terminal side of an angle theta. Find the exact values of the six trig functions of theta.. (-3,2)

Dima020 [189]

We can use SOH, CAH and TOA, but first we must find the length of a hypotenuse:
h = $\sqrt{(-3) ^{2}+2^{2} } = \sqrt{9+4}= \sqrt{13}$
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cos ( theta) = -3/√13
tan (theta) = -2/3
cot (theta ) = -3/2
sec (theta) = 1/cos(theta ) = -√13/3
csc(theta ) = 1/ sin (theta) = √13/2

7 0

3 years ago

3^x+2 + 3^x+1 = 4/3 solve​

3^x+2 + 3^x+1 = 4/3 solve