Simplify the expression. Write your answer as a power.
The simplified expression is

We observe that the

height of the cone is 8 in.

radius of the cone is 2 in.

Volume of a cone = 1/3 π r² h

where R = radius and h = height

Using the formula we get :

Volume = 1/3 π 2 × 2 × 8

= 32 / 3 π cm³

= 33.5 cm³ ( rounded to 10)

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:

Answer:

A

Step-by-step explanation:

From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.

So, the employee earns an additional $1000 for every 10 units sold.

To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:

1000 ÷ 10 = 100

Therefore, the employee earns an additional $100 for every one unit sold.

Proof

This can be proved by calculating the slope (gradient) of the graph:

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where [tex]\sf (x_1,y_1)[/tex] and [tex]\sf (x_2,y_2)[/tex] are two points on the line

When picking the two points, remember that the y-values are in thousands of dollars.

Two points on the line:

(0, 30000) and (20, 32000)

Substituting these into the formula:

[tex]\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100[/tex]

Therefore, the employee earns an additional $100 for every one unit sold.

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]

Answer:

mode=92

Step-by-step explanation:

Solution

no of data=9(odd)

mode= n+1/2

= 9+1/2

=10/2

=5th position

mode= 92

mark me as brainliest

Answer:

80 Cents for each jumbo cookie

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:

45.5 and 17.5

Step-by-step explanation:

a)

b)

Answer:

Formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' represents the radius which is being squared.

Plug in the radius into this formula:-

A = π[tex]r^{2}[/tex]

A = 3.14(4^2)

A = 3.14(16)

A = 50.24 centimetres is the area for this circle.

Answer:

X^2-2x+5 is the answer

Step-by-step explanation:

8+3=11 6-1=5 11+5=16 5/16

A) 4/7

B) 9/16

C) 4/9

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:

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:

tangina napaka pogi ko +41

Answer:

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

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: (2)

Step-by-step explanation:

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

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:

1/5

Step-by-step explanation:

jack + 4 friends = 5 people

5 people would each get 1 slice

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:

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!!

If you have any questions comment below

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

Answer:

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

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:

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

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