MATHEMATICS HIGH SCHOOL

Which of the following is equivalent to log9w?log9 + logw
log9 - logw
w(log9)
9(logw)

Answers

Answer 1
Answer:

Answer:

Option A is correct

\log 9 + \log w

Step-by-step explanation:

Using the logarithmic rules:

\log mn = \log m+ \log n

As per the statement:

Given the following:

\log 9w

Apply the logarithmic rules we have;

\log 9 + \log w

Therefore, the  following is equivalent to log 9w is:

\log 9 + \log w
Answer 2
Answer: Look over your textbook for the properties of logarithms.
Recall that adding together two logs of the same base = one log where the arguments are multiplied together.
(note a log without a number written below is assumed to be base 10)

\log(9w) = \log(9)+\log(w)

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Given: 3x < -6. Choose the solution set.

{x | x < -2}
{x | x > -2}
{x | x < 2}
{x | x > 2}

Answers

3x\ \textless \ -6 :

Divide both sides by 3 :

(3x)/(3) = (-6)/(3)

x\ \textless \ -2

Answer A

{x | x < -2}

hope this helps!

Jamal borrowed $625 from his brother 8 years ago. Jamal repaid his brother in full with $830. What simple annual interest rate did Jamal pay?A. 4.0%
B. 4.1%
C. 4.2%
D. 4.3%

Answers

Answer: b 4.1%

Step-by-step explanation:
B. 4.1%. ...................

Express
2 ^( - 7)
using a positive exponent.​

Answers

Answer:

(1)/(2^7)

Step-by-step explanation:

To express the number 2⁻⁷ with a positive exponent, we'll make use of the properties of exponents and their relationship with reciprocals.

\hrulefill

Here's a list of the exponent properties:

\boxed{\left\begin{array}{ccc}\text{\underline{Properties of Exponents:}}\n\n1.\ a^0=1\n\n2.\ a^m * a^n=a^(m+n)\n\n3.\ a^m / a^n \ ((a^m)/(a^n) )=a^(m-n)\n\n4.\ (ab)^m=a^mb^m\n\n5.\ (a/b)^m=a^m/b^m\n\n6.\ (a^m)^n=a^(mn)\n\n7.\ a^(-m)=1/a^m\n\n8.\ a^(m/n)=(\sqrt[n]{a} )^m\end{array}\right}

In our case, we will use the reciprocal identity (#7 on the table above).

a^(-m)=(1)/(a^m) \n\n\n\n\therefore 2^(-7)=\boxed{(1)/(2^7) }

Thus, we can represent 2⁻⁷ as a positive exponent .

Find the perimeter of a rectangle whose length is 3 square root 5 and width is 2 square root 7

Answers

The rectangle has a length of 3√5 and a width of 2√7. The perimeter is calculated as 23.9 approximately.

Use the concept of a rectangle defined as:

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Given that,

Length of the rectangle: 3√5

Width of the rectangle: 2√7

To find the perimeter of a rectangle,

Use the formula P = 2(length + width).

In this case,

The length is 3√5 and the width is 2√7.

Applying the formula, we get:

P = 2(3√5 + 2√7)

To simplify this expression, distribute the 2:

P = 6√5 + 4√7

p ≈ 23.9

Hence,

The perimeter of the rectangle is approximately 23.9.

To learn more about rectangles visit:

brainly.com/question/15019502

#SPJ3

Answer:

Step-by-step explanation:

Area=Length times width

A=3√(5)*2√(7)

A=6√(35)

Find the measure of angle one…. PLEASE HELP!!!!!!

Answers

Answer:

Step-by-step explanation:

9x - 5 = 58

9x = 63

x = 7

<2 = 32°

7y + 27 + 58 + 32 = 180

7y + 117 = 180

7y = 63

y = 9

for <1: x + 58 = 180

       x = 122°

I will make u the BRAINLIEST pls answer my question and explain!!!

Answers

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Since the problem tells you the length of each square is 1 ft, then you know that the distance between the two plants is 10 squares * 1 ft/square = 10ft. 
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