What is the solution?

Luden [163]

When working with logarithms, remember that a subtraction sign means you can divide.
log(400) - log(4) can be turned into log(400/4), which is further simplified to log(100).

5 0

4 years ago

Brock exercises every day. The function E = 15m + 5 represents the number of sit-ups he can do in m minutes. After drinking a ne

adoni [48]

Answer:

$S=45m+15$

Step-by-step explanation:

we have

E------>the number of sit-ups

m----> the time in minutes

S----> the number of sit-ups after drinking the sports drink

$E=15m+5$ ----> equation A

$S=3E$ ----> equation B

substitute the equation A in the equation B

$S=3(15m+5)$

$S=45m+15$

7 0

3 years ago

What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.

Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

$\rm Altitude = \sqrt{xy}$

Where x is DC and y is 5 units.

Then,

The length DC is.

$\rm Altitude = \sqrt{xy}\\
\\
12 = \sqrt{(DC) \times 5}\\
\\
\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\
\\
$

Squaring on both sides

$\rm DC = \dfrac{144}{5}\\
\\
DC = 28.8$

Considering right triangle BDC, use the Pythagorean theorem to find BC:

$\rm BC^2 = DC^2+BD^2\\\\ BC^2 = (28.8)^2+(12)^2\\

\\
BC = \sqrt{829.44+144}\\
\\
BC = \sqrt{973.44}\\
\\
\rm BC = 31.2 \ units$

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

6 0

2 years ago

Match the Polynomials with their names. ___ 2x 3 + 4x ___ 3x 5 + 3x 4 + x 3 ___ x 2 + 3 ___ 2x 2 + x − 5 A. Quintic trinomial B.

leonid [27]

We have that

case 1) 2x3 + 4x -----------> <span>C. cubic binomial
</span>The degree of the polynomial is 3----> <span>the greater exponent is elevated to 3
</span>the number of terms is 2
<span>
case 2) </span>3x 5 + 3x 4 + x 3--------> <span>A. Quintic trinomial
</span>The degree of the polynomial is 5----> the greater exponent is elevated to 5
the number of terms is 3
<span>
case 3) </span>x 2 + 3----------> <span>B. quadratic binomial
</span>The degree of the polynomial is 2----> the greater exponent is elevated to 2
the number of terms is 2
<span>
case 4) </span>2x 2 + x − 5 A------------> D. quadratic trinomial
The degree of the polynomial is 2----> the greater exponent is elevated to 2
the number of terms is 3

6 0

3 years ago

Hello can you help me with this problem ?

Lelechka [254]

Step-by-step explanation:

please mark me as brainlist please

3 0

2 years ago