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3 years ago

What is the value for x in this equation? log(6x + 5) – log2 = log5

1 answer:

8 0

Log (6x+5)-log2=log 5
log (6x+5)=log 5+log 2

log 5 =0.698970004...
log 2=0.301029995

log 5 + log 2=1

log(6x+5)=1
log(6x+5)=log 10

Then:
6x+5=10
6x=10-5
6x=5
x=5/6

Answer: the value for x in this equation is 5/6.

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2000

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3 years ago

Some friends have heard about the concert, and now you might have to buy up to five tickets. Use your equations to create a pric

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4 years ago

From a point on the ground that is 120 feet from the base of a vertical tree, the angle of elevation to the top of the tree is 3

andriy [413]

Answer:

$\boxed {\boxed {\sf 69.28 \ feet}}$

Step-by-step explanation:

Assuming that the tree is perpendicular with the ground, we can use trigonometric ratios to find the height of the tree.

First, let's draw a diagram. From the point on the ground to the base, it is 120 feet and forms a 30 degree angle. We want to find the height of the tree, which is labeled h. (The diagram is attached and not to scale).

Next, recall the ratios.

sin(θ)= opposite/hypotenuse
cos(θ)= adjacent/hypotenuse
tan(θ)= opposite/adjacent

We see that the height is opposite the 30 degree angle and 120 is adjacent.

opposite=h
adjacent=120

Since we are given opposite and adjacent, we must use tangent.

$tan ({\theta)=\frac{opposite}{adjacent}$

Substitute the values in.

$tan(30)=\frac{h}{120}$

We are solving for h, so we must isolate it. It is being divided by 120 and the inverse of division is multiplication. Multiply both sides by 120.

$120*tan(30)=\frac{h}{120}*120$

$120*tan(30)=h$

$120*0.5773502692=h$

$69.2820323=h$

Round to the hundredth place (2 decimal places). The 2 in the thousandth place tells us to leave the 8 in the hundredth place.

$69.28 \approx h$

The height of the tree is about 69.28 feet.

5 0

3 years ago

Determine the equation of the line with slope −4 that passes through the point M(−2, 1).

scoray [572]

Y=mx+b
m=slope
b=y-intercept
y=-4x+b
Plug in the coordinate in place of x and y (-2,1)
1=-4(-2)+b
1=8+b
Subtract both sides by 8 to isolate B

b=-7

Final answer:
y = −4x − 7

5 0

3 years ago

Read 2 more answers

HELP PLZ THIS IS TIMED WILL GIVE BRAINLIEST

OlgaM077 [116]

(x² +9) and g(x) are factors of f(x).
That is, (x² +9)(g(x)) = f(x).

The roots of (x² +9) are roots of f(x). They are 3i and -3i.

The factor (x² +9) has degree 2, so f(x) has degree at least 2.

We cannot say anything about the x- or y-intercepts based on this information.

Imaginary roots usually come in even numbers (2, 4, etc.) for the polynomials we study. The information given here does not support the idea of 3 imaginary roots for f(x).

6 0

3 years ago