All categories

3 years ago

1. Write the equation c = loga(b) in exponential form.

Mathematics

1 answer:

Flauer [41]3 years ago

7 0

Answer:

Step-by-step explanRemember: logax=b⇒ab=x

in which "a" is the base of the log.

log4 (1/16) = 4^-2 = 1/4^2 = 1/16

4 to the power of -2 is equal to 1/16.

To answer this question, the equation in exponential form of "log4 (1/16) = -2" is " 4^-2 " (4 to the power of -2). :D

plz mark me brainliest

You might be interested in

Please help me ASAP Please help

son4ous [18]

9514 1404 393

Answer:

5 cm

Step-by-step explanation:

The kite is symmetrical about the long axis, so the height of each of the triangles is half the overall width of the kite. (10 cm/2 = 5 cm)

The height of the triangle h is 5 cm.

3 0

3 years ago

Need help simplifying this

diamong [38]

The simplified answer is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$ .

Step-by-step explanation:

$$\frac{3 y+2 x}{z+2 x}-\frac{2 y-3 x}{3 x+y}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

To add or subtract denominators of the fraction must be same.

If it is not the same, we must take LCM of the denominators. and so we can add the fractions.

To make the denominator same multiply the 1st term $(\frac{3x+y}{3x+y})$ and 2nd term by $(\frac{z+2x}{z+2x})$

= $\frac{(3 y+2 x)(3 x+y)}{(z+2 x)(3 x+y)}-\frac{(2 y-3 x)(z+2 x)}{(3 x+y)(z+2 x)}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

LCM of the denominators is 6x²+ 3xz + 2xy +yz.

Multiply the factors in the numerator.

= $\frac{\left(6 x^{2}+3 y^{2}+11 x y\right)}{(z+2 x)(3 x+y)}-\frac{\left(2 y z+4 x y-3 x z-6 x^{2}\right)}{(3 x+y)(z+2 x)}-\frac{2 z y+6 x z}{6 x^{2}+3 x z+2 x y+y z}$

Now, the denominators are same, you can subtract it.

= $\frac{\left(6 x^{2}+6 x^{2}+11 x y-4 x y-2 y z-2 y z+3 x z-6 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

= $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

Thus the simplified solution is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

4 0

3 years ago

Type the correct answer in each box. If necessary, use / for the fraction bar(s). Mike can stitch 7 shirts in 42 hours. He can s

Arada [10]

Answer:

1 shirt for every 6 hours

Step-by-step explanation:

42/7=6

8 0

3 years ago

A sealed rectangular container 10 inches by 12 inches by 6 inches is sitting on its largest face. If it is filled with water up

Sedaia [141]

Answer:

8 inches

Step-by-step explanation:

Given: Dimension of rectangular container= $(10\times12\times 6)\ inches$

Water is filled up to a level 2 inches from the top.

As given that container is sitting on its largest face, then it is standing on $(10\times 12)\ inches$

Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.

∴ Height of water inside the container= $6-2= 4 \ inches$

Now, finding the volume of water inside.

we know, Volume= $length\times width\times height$

Volume= $10\times 12\times 4= 480\ inches^{3}$

Next, if container is placed in its smallest face then it is standing on $(10\times 6)\ inches$ and lets assume height to be "x"

Forming an equation now to express the volume conservation law.

⇒ $480\ inches^{3} = 10\times 6\times x$

⇒ $480= 60x$

dividing both side by 60

⇒ $x= \frac{480}{60}$

∴ x= 8 inches

Hence, 8 inches from the bottom will the water level reach if the container is placed on its smallest face

5 0

3 years ago

I need someone to teach me how to do at least half of these problems please help

Gwar [14]

Here, You need to substitute the value of x, and y, in the equation then check if L.H.S is equal to R.H.S or not. If they are equal then, ordered pair was correct, otherwise they are not applicable.

75) Here, oly option D can fit i the equation, we can check:
3(-5) -2(-1) = -15+2 = -13 = R.H.S
So, the pairs are valid.

76) Here, only option D is your answer,
4(2) - 4 = 8 - 4 = R.H.S

Do the same thing in every equation!

Hope this helps!

8 0

3 years ago