Express as a sum of logarithms.


[tex] log_{2}(16 \times 24) [/tex]
​

Answer:

D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)

Hope this helps!

Answer:

“I think wolves are scary, too. You’ll have to do more to convince me that they’re not!”

Step-by-step explanation:

Answer:

D. 27 units

Step-by-step explanation:

27 is greater than 20. The scale factor is more than 1, so the answer(s) have to be more than 1.

Answer:

25 one degree turns

Step-by-step explanation:

if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25

Answer:

25

Step-by-step explanation:

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

Let's solve ~

Cost price for each Orange :

[tex]\qquad \tt \dashrightarrow \: \dfrac{60}{200} [/tex]

[tex]\qquad \tt \dashrightarrow \:0.3 \: \: kobo[/tex]

Now, Cost price for 8 oranges :

[tex]\qquad \tt \dashrightarrow \:0.3 \times 8[/tex]

[tex]\qquad \tt \dashrightarrow \:2.4 \: \: kobo[/tex]

And we have been given that selling price for 8 oranges is 12 kobo.

Therefore, the gain is :

[tex]\qquad \tt \dashrightarrow \:12 - 2.4[/tex]

[tex]\qquad \tt \dashrightarrow \:9.6 \: \: kobo[/tex]

Percentage gain is ~

[tex]\qquad \tt \dashrightarrow \: \dfrac{9.6}{2.4} \times 100[/tex]

[tex]\qquad \tt \dashrightarrow \:4 \times 100[/tex]

[tex]\qquad \tt \dashrightarrow \:400 \: \%[/tex]

Answer:

970,060

Step-by-step explanation:

i think this is correct-

Edit: i just realised the number was 907,060 ._.

976

Step-by-step explanation:

Answer:

1/3 of twelve is 4 so four must be the answer

Step-by-step explanation:

Answer:

less!

Step-by-step explanation:

billy = 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 = 295

maria = 10, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25 = 360

soooooo that in mind! maria earned more than billy!

If x is in quadrant I, then both sin(x) and cos(x) are positive. The angle x/2 also belongs to quadrant I, and hence each of sin(x/2), cos(x/2), and tan(x/2) are positive.

Recall that for all x,

cos²(x) + sin²(x) = 1

and multiplying through both sides by 1/cos²(x) = sec²(x) gives another flavor of this identity,

1 + tan²(x) = sec²(x)

It follows that

sec(x) = √(1 + tan²(x)) = √937/19

which immediately gives us

cos(x) = 19/√937

and from the identity above we find

sin(x) = √(1 - cos²(x)) = 24/√937

Recall the half angle identity for cos :

cos²(x) = (1 + cos(2x))/2

which means

cos(x/2) = + √[(1 + cos(x))/2] = √[1/2 + 19/(2√937)]

Then

sin(x/2) = + √(1 - cos²(x/2)) = √[1/2 - 19/(2 √937)]

and by definition of tan,

tan(x/2) = sin(x/2) / cos(x/2) = 1/12 √[649/2 - 19 √937/2]

Just to be clear, the solutions are

[tex]\cos\left(\dfrac x2\right) = \sqrt{\dfrac12 + \dfrac{19}{2\sqrt{937}}}[/tex]

[tex]\sin\left(\dfrac x2\right) = \sqrt{\dfrac12 - \dfrac{19}{2\sqrt{937}}}[/tex]

[tex]\tan\left(\dfrac x2\right) = \dfrac1{12} \sqrt{\dfrac{649 - 19\sqrt{937}}2}[/tex]

Answer:

Pauline made $8 per hour last week.

Step-by-step explanation:

$280÷35=$8

Answer:

Yes

Step-by-step explanation:

There are two green regions and two red regions which makes four regions in total. If there is an equal probability to land on each region, it means that the probability to land on a green region is 2/4 because there are two green regions out of the four total regions. You could also simplify it to 1/2.

Answer:

60+0.5x <= 180

0.5x <= 120

x <= 240 miles

Step-by-step explanation:

Answer:

The stick hits the ground 2.37 seconds after it is dropped.

Step-by-step explanation:

Your function is incorrect.

I will assume that the correct function is

h = -16t² + 90

When the stick hits the ground, its height is 0.

We are looking for the value of t, time, when h = 0.

Set h = 0, and solve for t.

h = -16t² + 90

-16t² + 90 = 0

-16t² = -90

t² = 5.625

t = 2.37

The stick hits the ground 2.37 seconds after it is dropped.

Answer:

2 and 4

Step-by-step explanation:

Because the graph lines go straight across instead of up and that means there was no snow fall so that is the least amount of snowfall.

Your welcome :)

Answer:

110

Step-by-step explanation:

it is 110 because it is the number in the middle of the data set.

Answer:23.6ft

Step-by-step explanation:

SOHCAHTOA

sin(80)=(o/24)

Multiply both sides by 24 and 24 on the right side will cancel out.

24sin(80)=23.6ft

The height of the wall where the ladder reaches will be 23.64 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the ground.

The height of the wall where the ladder reaches is given as,

sin 80° = h / 24

h = 24 x sin80°

h = 23.64 feet

The height of the wall where the ladder reaches will be 23.64 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

Answer:

117.29 cubic feet

Step-by-step explanation:

* means multiplied by

V=π*r^2*(h/3)

V=π*4^2*(7/3)

V=3.14*16*(7/3)

V≈117.29

Answer:

$308

Step-by-step explanation:

Hope this helped! :)

If this is wrong please comment below! :)

Thx!

Answer:

B

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .

Answer:

B. [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

Step-by-step explanation:

1. Rewrite the function as a linear equation:

y = -5x - 4

2. Swap x and y:

x = -5y - 4

3. Solve for y:

x+4 = -5y - 4+4

x + 4/-5 = -5y/-5

[tex]\frac{x+4}{-5}[/tex] = y  can be rewritten as [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

4. Write in inverse notation:

f(x) = [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

Therefore, B is the answer.

The answer is going to be c

Answer:

I believe it's C) 0.8125

Step-by-step explanation:

I’m sorry I don’t know how to explain it step by step

Answer:

To find the mean, you must add up all of the numbers in the data set and then divide them by the amount of numbers there are.

Step-by-step explanation:

For example:

1, 2, 3, 4, 5

To find the mean, we first add up all of these numbers:

1 + 2 + 3 + 4 + 5 = 15

Next, since there are 5 total numbers here, we divide their sum by 5:

15/5 = 3

That is how we get the mean (or average) of the data set.

Answer:

(x+2)/(x−3)

Step-by-step explanation:

((x-2)/(x+3))+((10x)/(x+3)(x-3))

((x-2)(x-3)+10x)/(x+3)(x+3)

Brainliest if you can please

Step-by-step explanation:

Take the natural logarithm of both sides;

8x+9 = ln (14)

Transposition;

8x= ln(14)-ln(e⁹)

[tex]x = \frac{ ln(14) - ln( {e}^{9} ) }{8} [/tex]

[tex]x = \frac{1}{8} ( ln(14) - 9)[/tex]

Step-by-step explanation:

a = original number of adult tickets

c = original number of child tickets

a/c = 2/5

a = 2c/5

(a+70)/(c+300) = 1/3

(2c/5 + 70)/(c + 300) = 1/3

2c/5 + 70 = (c + 300)/3

2c + 350 = 5(c + 300)/3

6c + 1050 = 5(c + 300) = 5c + 1500

c = 450

a = 2c/5 = 2×450/5 = 2×90 = 180

Joshua sold therefore in total

180 + 70 = 250 adult tickets.

and by the way

450 + 300 = 750 child tickets.

Answer:

6/11

Step-by-step explanation:

count how many numbers there are 11

count how many numbers you have that are less than 4 or odd

put that number over the total

simplify if possible

Answer:

3(3r - 4)(3r + 4)

Step-by-step explanation:

I can't see the writing very clearly.

This is the correct solution:

27r^2 - 48                   Divide through by 3:

= 3(9r^2 - 16)               9r^2- 16 is the difference of 2 squares so:

= 3(3r - 4)(3r + 4)

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

[tex]x_1=5\\y_1=2\\x_2=10\\y_2=-3[/tex]

Now substitute these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-3-2}{10-5}[/tex]

Simplify

m=[tex]\frac{-5}{5}[/tex]

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

See more on this topic here: https://brainly.com/question/27166723

Answer:

8 and below

Step-by-step explanation:

Everything below 9

Answer:

Any real number less than or equal to 8;

for example:

8, 7, -100, π

Answer:

i am from afghanistan and you

Step-by-step explanation:

[tex]2tan^2(\theta )+tan(\theta )=0\implies tan(\theta )[2tan(\theta )+1)]=0 \\\\[-0.35em] ~\dotfill\\\\ tan(\theta)=0\implies \theta=tan^{-1}(0)\implies \theta= \begin{cases} 0\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2tan(\theta)+1=0\implies 2tan(\theta)=-1\implies tan(\theta)=-\cfrac{1}{2} \\\\\\ \theta=tan^{-1}\left( -\cfrac{1}{2} \right)\implies \theta \approx \begin{cases} \stackrel{180^o~~ - ~~26.57}{153.43^o}\\ \stackrel{360~~ - ~~26.57}{333.43^o} \end{cases}[/tex]

for the second pair of angles, the angle of reference is really about 26.57°.  Now, the tangent is only negative in two quadrants, the II and IV Quadrants, using the angle of reference, it'd give us those angles.

Make sure your calculator is in Degree mode.