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erastovalidia [21]

2 years ago

11

Evaluate the logarithm. log7 49

2 answers:

mariarad [96]2 years ago

7 0

Step-by-step explanation:

<h2>It is 2</h2>

I hope that is useful for you :)

s2008m [1.1K]2 years ago

5 0

Answer:

Step-by-step explanation:

Rewrite log7(49)=x log 7 ( 49 ) = x in exponential form using the definition of a logarithm. If x and b are positive real numbers and b does not equal 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .

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lutik1710 [3]

-2•f(x+1)+6 = -2 |x+1| +6, which is NOT g(x).

-2•f(x+1)+3 = -2 |x+1| +3, which IS g(x).

Side note: you’re writing g(x) in terms of f(x), because f(x) is in the answer.

If you want to write f(x) in terms of g(x), then g(x) would be in the answer.

4 0

2 years ago

(05.01)Which equation can be used to calculate the area of the shaded triangle in the figure below?

Marina86 [1]

Equation of shaded triangle is $\frac{1}{2} (14\times8)$ .

Solution:

Length of the rectangle = 14 ft

Breadth of the rectangle = 8 ft

Area of the rectangle = length × breadth

= 14 × 8

In this rectangle the diagonal splits the rectangle into two equal halves.

Area of the shaded triangle = Half of area of rectangle

$$=\frac{1}{2} (14\times8)$

Area of the shaded triangle = $\frac{1}{2} (14\times8)$

Hence the equation can be used to calculate the area of the shaded

triangle is $\frac{1}{2} (14\times8)$ .

7 0

2 years ago

The radius of a circle is 4 feet. What is the circle's circumference?<br> r=4 ft<br> Use 3.14 for n.

Alexxandr [17]

Answer:

C = 25.12 feet

Step-by-step explanation:

C = 2 x 3.14 x 4

C = 25.12 feet

8 0

2 years ago

The radius of a sphere decreases at a rate of 6 m/sec. find the rate at which the surface area decreases when the radius is 20 m

DanielleElmas [232]

The radius of the sphere decreases at the rate of 6 m/ sec

That is, $\frac{dr}{dt}=-6$

Surface Area of the sphere of radius r is given by $S=4\pi r^2$

Differentiating with respect to t,

$\frac{dS}{dt}=4\pi (2r)\frac{dr}{dt}=8\pi r\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi (20)^2(-6)=-960\pi \: m^2/sec$

8 0

3 years ago

Find the circumference of the circle with 1/4 Pi square centimetre square 2<br>

otez555 [7]

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = $\pi r^{2}$

$\frac{1}{4} \pi ^{2}$ = $\pi r^{2}$

dividing π by both sides:

$\frac{1}{4}\pi$ $=r^{2}$

using square root on both the sides:

$\frac{1}{2}\sqrt{\pi } = r$

So, the radius is $\frac{1}{2}\sqrt{\pi }$

Now, putting the formula of circumference:

$circumference=2\pi r$

= $2\pi\frac{1}{2} \sqrt{\pi}$

= $\pi \sqrt{\pi}$

putting the value of π =3.14

= $3.14\times\sqrt{3.14}$

= $3.14\times1.77$

= $5.56$

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

4 0

2 years ago