Please help me I’m not sure how to answer this problem

Answer:

2

Step-by-step explanation:

using the rules of logarithms

logx + logy = log(xy)

logx - logy = log ([tex]\frac{x}{y}[/tex] )

log[tex]x^{n}[/tex] ⇔ nlogx

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

3log2 + log200 - log16

= log 2³ + log200 - log16

= log8 + log200 - log16

= log(8 × 200) - log16

= log1600 - log16

= log ([tex]\frac{1600}{16}[/tex] )

= log100

let [tex]log_{10}[/tex] 100 = n , then

100 = [tex]10^{n}[/tex] = 10²

thus value of expression is n = 2 , that is 2

[tex]2 \cdot 1[/tex]Answer:

Equal to 2

Step-by-step explanation:

1. Apply log rule: [tex]alog_c(b) = log_{c}(b^a)[/tex]

[tex]3log_{10}(2) = log_{10}(2^3)[/tex]

[tex]= log_{10}(2^3) + log_{10}(200) - log_{10}(16)[/tex]

2. Apply log rule: [tex]log_c(a) + log_c(b) = log_c(ab)[/tex]

[tex]log_{10}(2^3) + log_{10}(200) = log_{10}(2^3 \cdot 200)[/tex]

[tex]= log_{10}(2^3 \cdot 200) - log_{10}(16)[/tex]

[tex]2^3 \cdot 200 = 1600[/tex]

[tex]= log_{10}(1600) - log_{10}(16)[/tex]

3. Apply log rule: [tex]log_c(a) - log_c(b) = log_c(\frac{a}{b})[/tex]

[tex]log_{10}(1600) - log_{10}(16) = log_{10}(\frac{1600}{16})[/tex]

Divide the numbers: [tex]\frac{1600}{16} = 100[/tex]

[tex]= log_{10}(100)[/tex]

Rewrite 100 in power - base form: [tex]100 = 10^2[/tex]

[tex]= log_{10}(10^2)[/tex]

4. Apply log rule: [tex]log_a(x^b) = b \cdot log_a(x)[/tex]

[tex]log_{10}(10^2) = 2log_{10}(10)[/tex]

[tex]2log_{10}(10)[/tex]

5. Apply log rule: [tex]log_a(a) = 1[/tex]

[tex]log_{10}(10) = 1[/tex]

[tex]= 2 \cdot 1 = 2[/tex]

well, at the beginning of the 6th year, you've been there for 5 whole years, so you've gotten 5 increases hmmm

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &16000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=16000(1 + 0.03)^{5}\implies A=16000(1.03)^5\implies A\approx 18548.39[/tex]

Answer:

Step-by-step explanation:

The angle formed by two secants is half the difference of intercepted arcs.

Correct choice is C

Let that be y

Option C

Answer:

45.5 and 17.5

Step-by-step explanation:

a)

b)

Answer:

1/5

Step-by-step explanation:

jack + 4 friends = 5 people

5 people would each get 1 slice

Answer:

80 Cents for each jumbo cookie

Answer:

Hope the picture will help you. Make sure to mark my answer brilliant

Answer:

72 yd²

Step-by-step explanation:

area of this figure = area of 1st rectangle + area of 2nd rectangle

= l×b + L×B

= 6 × 5 + 14 × 3

=30 + 42

= 72 yd²

Answer:

the answer c 72 yd2

Step-by-step explanation:

Step-by-step explanation:

for me it is best as a first step to combine this all to one big fraction, and then simplify the whole expression.

you do know that when multiplying the same variable with exponent we simply add the exponents. and she we divide the same variable with exponents, we subtract them from each other (as the overlapping exponent parts cancel each other out).

(3ac³f³)/(8a²bcf⁴) × (12ab²c)/(18ab³c²f) =

= (3×12a²b²c⁴f³)/(8×18a³b⁴c³f⁵) =

= (3×12c)/(8×18ab²f²) = 12c / (8×6ab²f²) =

= 2c / (8ab²f²) = c / (4ab²f²)

Answer:

P(M &C) = 0.24

Step-by-step explanation:

Chemistry book will be denoted by C

Mathematics book will be denoted by M

5C2 = 10

There are 10 possible ways in which she can choose two books from the 5 books.

The probability of choosing a chemistry book:

P(C) = 2/5

The probability of choosing a mathematics book:

P(M) = 3/5

Probability of choosing a chemistry book and a mathematics book:

P(M &C) = (2/5) × (3/5)

P(M &C) = 0.24 or 24%

The probability that she pulls out a math book and a chemistry book will be 0.24.

The term probability refers to the likelihood of an event occurring

Given that;

Julia has 2 chemistry books and 3 math books.

Now,

Since, Julia has 2 chemistry books and 3 math books.

Hence, Total number of books = 2 + 3 = 5

So, The probability to choosing a chemistry book = 2/5

And, The probability to choosing a math book = 3/5

Thus, The probability that she pulls out a math book and a chemistry book is,

⇒ 2/5 × 3/5

⇒ 6/25

⇒ 0.24

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ2

Pythagorean Theorem:

[tex]a^2 + b^2 = c^2[/tex]

Since 10 and 24 are the legs, "x" has to be the hypoteneuse.  "a" and "b" are the legs (10 and 24).

Now, replace the values in.

[tex]10^2+24^2 = x^2[/tex]

[tex]x^2 = 100+576\\x^2 = 676\\x = 26[/tex]

Hope this helped! :)

Answer:

12, 60

Step-by-step explanation:

To solve this question, we can use a system of equations

1) x + y = 76

2) y - 3x = 12

Then, we can use the second equation to isolate y and substitute it into the second equation

y = 3x + 12

x + (3x + 12) = 76

4x + 12 = 76

4x = 64

x = 16, y = 60

Answer:

6

Step-by-step explanation:

based in

Vincent Van Gogh’s most popular painting, The Starry Night was created by Van Gogh at the asylum in Saint-Rémy, where he’d committed himself in 1889. Indeed, The Starry Night seems to reflect his turbulent state of mind at the time, as the night sky comes alive with swirls and orbs of frenetically applied brush marks springing from the yin and yang of his personal demons and awe of nature.

Answer:

8x+10y=-8

Step-by-step explanation:

5x+3x=8x

4y+6y=10y

-14+6=-8

Answer

Since 3 is greater than 0 we know that 7.835 is greater than 7.8. We follow the same process to find that 7.35 is less than 7.358. Then we can put the number

There you go I hope that helps and have a great day

Answer:

  87%

Step-by-step explanation:

The percentage of normally-distributed data between 45 and 77 in a data set with mean 63 and standard deviation 10.4 can be found by any of a number of calculators, apps, web sites, or spreadsheets.

The percentage is 87%.

Answer:

tangina napaka pogi ko +41

Answer:

1) y=x-4

2)y=x+2

Step-by-step explanation:

You can see on the first one y is just 4 less than x

You can see that the second one (graph) has a slope. As by the points, if you increase x by 0.5 you increase y by one.

Thus, y=x+2

Hope this helped! I can't see much of the question :)

Answer:

Step-by-step explanation:

Using identities

Applying to the given statements, we can see the second one is valid.

Correct choice is B

Answer:

Only statement 2 is valid

Step-by-step explanation:

Let's see how

[tex]\\ \rm\rightarrowtail x^3+216[/tex]

[tex]\\ \rm\rightarrowtail x^2+6^3[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x^2-6x+36)[/tex]

Hence verified

Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.

Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5

Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7

Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6

The congruent angles that are formed are:

The supplementary angles formed are: Same-side interior/consecutive angles.

Therefore, the following are true of the angles shown in the diagram given:

Learn more about angles on:

https://brainly.com/question/2515150

Answer:

Y= 0. There is two that says that so I don't know if it's A or C

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

According to angle sum property of a quadrilateral, Sum of all angles of a quadrilateral measures 360°

So, let's solve for x ~

[tex]\qquad \tt \dashrightarrow \:68 + 126 + 106 + x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:300+ x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 360 - 300[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 60 \degree[/tex]

Answer:

the answer is 30..........

Answer:

x=4 (Vertical angles have to be equal to each other! If one side is 46 then the side vertical to it is 46!) **Plug number in for x to verify once again!**

Step-by-step explanation:

You need to understand vertical angles!!

Vertical Angles must be congruent and equal to each other!

You need to do:

10x+6=46

Subtract 6 from both sides

10x=40

Do 40 divided by 10

x=4

To verify: plug 4 for x which should be 40 added to 6 is 46!

Answer: $83.16

Step-by-step explanation:

     This means that next year the item will cost 154% of what it is now.

154% / 100 = 1.54

$54 * 1.54 = $83.16

                    Next year the item will cost $83.16.

Answer:

X^2-2x+5 is the answer

Step-by-step explanation:

Answer:

The correct answer is Choice C.

Step-by-step explanation:

I drew a diagram of all the triangles to compare the statements given to each other

I marked the triangle sides with lines to show congruency in length.

One line for AB = DF

Two lines for AB = GI

Three lines for BC = HI

Four lines for DE = HI

The angles are all marked for the last sentence we are given.

The first and third triangles are the only ones similar. This is because of SAS congruence as given in the Diagram. AB = GI, angle B = angle I, BC = IH

The second triangle is different from the rest, and even if we tried to rotate it ad compare it, it would still be wrong.

Answer:

45 fireflies

Step-by-step explanation:

Because,

Sheri caught 70 and Robert caught 35.

150-35-70= 35

35+10 is equal to 45.

Following the rules given is the right answer

Answer:

y = x + 6

Step-by-step explanation:

The y-intercept is 6

and the slope is the change in y over the change in x, which is 1

So, use the equation y = m*x + c

m is the (slope) = 1

c is the (y-intercept) = 6

Your answer is: y = x + 6

PLEASE RATE!! I hope this helps!!

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