a drum has a diameter of 10 inches. find the area of the top of the drum. use 3.14 for pi.
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Please show to work too. Thank you.

Step-by-step explanation:

Let [tex]f(x) = 4[/tex] and [tex]g(x) = \frac{1}{x^2}[/tex]. The area A of the region bounded by the given lines is

[tex]\displaystyle A = \int [f(x) - g(x)]dx[/tex]

Note that [tex]g(x) = \frac{1}{x^2}[/tex] intersects y = 4 at x = 1/2 so the limits of integration go from x = 1/2 to x = 5. The area integral can then be written as

[tex]\displaystyle A = \int_{\frac{1}{2}}^{5}\left(4 - \dfrac{1}{x^2}\right)dx[/tex]

[tex]\:\:\:\:= \left(4x + \dfrac{1}{x}\right)_{\frac{1}{2}}^5[/tex]

[tex]\:\:\:\:= (20 + \frac{1}{5}) - (2 + 2) = \dfrac{81}{5} = 16\frac{1}{5}[/tex]

Answer:

a)  [tex]Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}[/tex]

b)  [tex]n=24[/tex]

Step-by-step explanation:

From the question we are told that:

Rate r=90 units per hour

Setup cost =20

Operating Cost =26

Units=40000

Generally the equation for Total cost is mathematically given by

[tex]Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}[/tex]

[tex]T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1[/tex]

Differentiating

[tex]T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2[/tex]

Equating equ 1 to zero

[tex]0=\frac{20n^2+11556}{n}[/tex]

[tex]n=24[/tex]

Therefore

Substituting n

For Equ 1

[tex]T_n=\frac{20(24)^2+11556}{24}[/tex]

F(n)>0  

For Equ 2

[tex]T_n'=\frac{20(24)^2-11556}{24^2}[/tex]

F(n)'<0

shaded area = area of outer figure - area of inner figure........

Answer: The alternate hypothesis would disprove the null hypothesis and state that there are a significant difference in preferences/proportions between the two villages.

For instance, let's say:

The null hypothesis would be that p₁ = p₂, while the alternative hypothesis would be that p₁ ≠ p₂.

Answer:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

r =7.5 L

y = 12.5 L

Step-by-step explanation:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

.07r + .15 y = (r+y) .12

r+y = 20

y = 20-r

.07r + .15 (20-r) = (20) .12

0.07r+0.15(20-r)=2.4

.07r+ 3 - .15r = 2.4

-.08r = 2.4-3

-.08r = -.6

Divide by-.08

r =7.5

y = 20-7.5

y = 12.5

The sum of the interior angles is 1260°

Answer:

the last two answers are the only correct ones

Step-by-step explanation:

By the law of exponent :

(a^n)^m=a^n×m

Option C

b^n×m is the correct answer...

hope it helps

Answer:

AC+ CD = ACD

X+1 + 2X + 2 = 30

3X+3 =30

3X=30–3

3X=27

X= 27/ 3

X= 9

I'm not sure of the solution, but I solved it according to a straight line (Line segment) .

I hope I helped you^_^

I

2/5 of 2.5. = 2x2.5 / 5x1 = 5/5 = 1 pound

Answer:

The missing side length is of 5.

Step-by-step explanation:

The sides are proportional, which means that the missing side can be found using a rule of three.

x - 10

3 - 6

Applying cross multiplication:

[tex]6x = 30[/tex]

[tex]x = \frac{30}{6} = 5[/tex]

The missing side length is of 5.

Answer:

7.35%

Step-by-step explanation:

μ = 1380

σ = 80  

n = 15  

P(x>1410)  

= (1410-1380)/((80)/(sqrt(15)))

= 1.4524  

P(z>1.4524) = 0.4265  (from the graph)

P(z>1.4524) = 0.5 - 0.4265 = 0.0735

Answer:

7,0, -1 and -2

Step-by-step explanation:

Just substitute the values,

a. f(g(7))=f(-1) [g(7)=-1 given]

            =7 [f(-1)=7 given]

b.f(g(-1))=f(3)=0 [g(-1)=3 Given]

c.g(f(-1))=g(7)=-1 [f(-1)=7 given]

d.g(f(7))=g(5)=-2 [f(7)=g(5) given]

Step-by-step explanation:

there must be something wrong with your text.

what we can see is

3.8 × 105

and

1.9 × 1022

the true answer for these values has nothing to do with the 4 answer options.

maybe you meant

1.9 × 10.5 ?

because that answer would be 20.

but first working with the presented numbers :

3.8 × 105 = 399

1.9 × 1022 = 1941.8

so, the second number is actually much bigger than the first number.

but if it is

1.9 × 10.5 = 19.95

that works.

and we can either use the calculator to calculate

399 / 19.95 = 20

or we can simply look at the factor changes of the multiplication terms.

3.8 = 1.9 × 2

105 = 10.5 × 10

so, the multiplication product of the two larger numbers is then 2×10=20 times larger than the product of the 2 smaller numbers.

Answer:

0.01

Step-by-step explanation:

6/7% = 6÷7÷100 = 0.0085714286 round to the nearest hundredth = 0.01

Answer:

1/144

Step-by-step explanation:

(-1/12)^2

(-1/12)*(-1/12)

1/144

Answer:

Paul is 2 and Kennedy is 6

Step-by-step explanation:

6 × 1/3 = 2

2 + 4 =6

Answer:

Pencils = 325 ; Pens = 975 ; Markers = 650

Step-by-step explanation:

Let :

Number of Pencils = x

Number of pens = y

Number of markers = z

2 times as many markers as pencils

z = 2x

3 times as many pens as pencils

y = 3x

x + y + z = 1950

Write z and y in terms of x in the equation :

x + 3x + 2x = 1950

6x = 1950

Divide both sides by 6

6x / 6 = 1950 / 6

x = 325

Number of pencils = 325

Pens = 3 * 325 = 975

Markers = 2 * 325 = 650

Pencils = 325 ; Pens = 975 ; Markers = 650

Answer:

77/306 or around 25.2%

Step-by-step explanation:

[tex]\frac{7}{18} *\frac{11}{17}[/tex] section 1/total * section 2/(total-1) since there is no replacement

just solve and you get 77/306

9514 1404 393

Answer:

  x = 45°

Step-by-step explanation:

The triangle interior angle at I will be the supplement of the angle marked 2x. The triangle interior angle at G will be equal to x, the alternate interior angle with respect to transversal GI crossing the parallel lines.

The angle marked 3x is the sum of these "remote" interior angles:

  3x = 180 -2x +x

  4x = 180 . . . . . . . . . add x; next, divide by 4

  x = 180/4 = 45 . . . . . degrees

  x = 45°

Answer:

12.6 mi

Step-by-step explanation:

Arc length = 2πr (Θ/360)

2π(12) (60/360)

= 12.6 mi

Answered by g a u t h m a t h

Answer:

You should expect 5 days in July with daily rainfall of more than 11.5 mm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In Waterville, the average daily rainfall in July is 10 mm with a standard deviation of 1.5 mm.

This means that [tex]\mu = 10, \sigma = 1.5[/tex]

Proportion of days with the daily rainfall above 11.5 mm.

1 subtracted by the p-value of Z when X = 11.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{11.5 - 10}{1.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

1 - 0.84 = 0.16.

How many days in July would you expect the daily rainfall to be more than 11.5 mm?

July has 31 days, so this is 0.16 of 31.

0.16*31 = 4.96, rounding to the nearest whole number, 5.

You should expect 5 days in July with daily rainfall of more than 11.5 mm.

Answer:

the answer is "D"

(2x+1)(x+3)(x-3)  //// -3,-.5,3

Step-by-step explanation:

Factored Form:  y= (2x+1)(x+3)(x-3)    

Answer:

D

Step-by-step explanation:

[tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex]  is factored into: [tex]f(x)= (2x+1)(x+3)(x-3)[/tex]

That takes out the choices B and C.

The roots are -0.5, 3, and -3.

Therefore, the answer is D.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

c. y=2x−48

Explanation:

It is telling us that it costs $48 each morning to buy the day's supply of hot dogs, so we must subtract that from our pay, and it will be our y intercept

It also says he earns $2 per hot dog, so that will be our slope (rate of change)

Hope it helps! :]

y = 2x - 48 equation represents the profit earned by the x hot dog sold.

A linear equation is an algebraic expression in which highest power of the given variable is equals to one.

Given that, the profit earned by a hot dog stand is a linear function of the number of hot dogs sold.

It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold.

We need to establish an equation that represents the total profit,

According to the question,

x represents the number of hot dogs sold

y represents the total profit earned

Cost required for supply = $48

Profit on each hot dog sold = $2

As per the condition given, the required linear equation is =

y = 2x - 48

Hence, y = 2x - 48 equation represents the profit earned by the x hot dog sold.

Learn more about linear equation here :

brainly.com/question/11897796

#SPJ7

Answer:

A) Exponential growth

Step-by-step explanation:

Answer:

8.75

Step-by-step explanation:

211/8 = 26.375

141/8 = 17.625

now,

211/8-141/8

26.375-17.625

8.75

Answer:

See Below.

Step-by-step explanation:

We are given the function:

[tex]\displaystyle y=\sqrt{\sin x}[/tex]

And we want to show that:

[tex]\displaystyle 4y^3\frac{d^2y}{dx^2}+y^4+1=0[/tex]

Find the first derivative of y using the chain rule:

[tex]\displaystyle \frac{dy}{dx} = \frac{1}{2\sqrt{\sin x}}\cdot \cos x = \frac{\cos x}{2\sqrt{\sin x}}[/tex]

And find the second derivative using the quotient and chain rules:

[tex]\displaystyle \begin{aligned} \frac{d^2y}{dx^2} &= \frac{1}{2}\left(\frac{(\cos x)'(\sqrt{\sin x})-(\cos x)(\sqrt{\sin x})'}{(\sqrt{\sin x})^2}\right) \\ \\ &=\frac{1}{2}\left(\frac{-\sin x\sqrt{\sin x} - \left(\cos x\right) \left (\dfrac{\cos x}{2\sqrt{\sin x}}\right)}{\sin x}\right) \\ \\ & = \frac{1}{2}\left(\frac{ -\sin x(2\sin x) -\cos x(\cos x) }{\sin x \left(2\sqrt{\sin x}\right) }\right) \\ \\ &= -\frac{1}{2} \left(\frac{2\sin^2 x + \cos^2 x}{2\sin^{{}^{3}\!/\! {}_{2}}x}\right)\end{aligned}[/tex]

Find y³:

[tex]\displaystyle y^3 = \left((\sin x)^{{}^{1}\!/\!{}_{2}}\right) ^3= \sin^{{}^{3}\! / \! {}_{2} }x[/tex]

And find y⁴:

[tex]\displaystyle y^4 = \left((\sin x)^{{}^{1}\!/\!{}_{2}}\right)^4 = \sin^2 x[/tex]

Substitute:

[tex]\displaystyle 4\left( \sin^{{}^{3}\! / \! {}_{2} }x\right)\left(-\frac{1}{2}\left(\frac{2\sin ^2x + \cos ^2 x}{2\sin^{{}^{3}\!/ \! {}_{2}}x}\right)\right)+\left(\sin ^2 x\right) + 1= 0[/tex]

Simplify:

[tex]-\left(2\sin^2 x + \cos^2 x\right) + \sin ^2 x + 1=0[/tex]

Distribute:

[tex]-2\sin ^2 x - \cos^2 x + \sin ^2 x + 1=0[/tex]

Simplify:

[tex]-\sin ^2 x - \cos^2 x + 1= 0[/tex]

Factor:

[tex]-(\sin ^2 x + \cos^2 x ) + 1=0[/tex]

Pythagorean Identity:

[tex]-(1)+1=0\stackrel{\checkmark}{=}0[/tex]

Q.E.D.

Answer:

i think 3

Step-by-step explanation:

Answer: [A] 2

Step-by-step explanation:

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