Find the surface area of this cone.

Answer:

look at the picture i have sent

The area of the shaded region is 192.325 m².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Outer radius = 21/2 = 10.5 m

Inner radius = 10.5 - 3.5 = 7 m

So, Area of shaded region

= π( R² - r²)

= 3.14 (10.5² - 7²)

= 3.14 (110.25 - 49)

= 192.325 m²

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Answer:

24 bottles per minute.

Step-by-step explanation:

We can see from the graph that the machine produced 24 bottles after one minute had passed. it made 48 when two minutes had passed and 72 after 3 minutes had passed. The number of bottles increases by 24 bottles every minute therefore the machine makes 24 bottles per minute.

Answer:

b)   obtuse

Step-by-step explanation:

If this is a right triangle the hypotenuse would be

c² = 9² + 12²

c² = 81 + 144

c² = 225

c = √225

c = 15

Since the third side is 17 which is longer than 15

the triangle is obtuse

Answer:

obtuse

Step-by-step explanation:

Answer:

There would be 6 nickels, 6 dimes, and 4 quarters.

Answer:

y= 2πx

Step-by-step explanation:

Given data

Circumference= 31.42 centimeters.

Radius= 6 centimeters

The expression for the circumference is

C= 2πr

y= 2πx

Hence the correct expression is

y= 2πx

Answer:

Step-by-step explanation:

2x-3 =-4x+3

6x = 6

x = 1

plug 1 into either eq. to see what  "y" you get

2(1) - 3 = -1

so

(1, -1 )

Answer:

Center = (3, -7)

Step-by-step explanation:

Standard form

(x - h)^2+ (y - k)^2 = r^2

Where (h, k) is the center

(x - 3)^2+ (y + 7)^2 = r^2

h = 3

k = -7

Center = (3, -7)

Answer:hv

Step-by-step explanation:

Step-by-step explanation:

[tex]25,400,000[/tex]

Answer:

25,400,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

when finding slope you use the formula

y2-y1 so you do 11 minus 5 which gets

____ you 6, over 13 minus 7 which

x2-x1 also gets you 6! So 6/6=1 which

means the slope should be 1. again im sorry if im wrong but I hope I could help TT

Answer: I can't answer because mine's a different question.. :p

Step-by-step explanation:

Sorry!!!

Answer:

There are 60 hockey cards (1/4 of 240)

Step-by-step explanation:

1/3 of 240 is 80

1/6 of 240 is 40

1/4 of 240 is 60

80+40+60 = 180

240 - 180 = 60

Answer:

four bags

Step-by-step explanation:

Answer: 9b+12

Step-by-step explanation:

Combine the sets if like terms meaning

4+10-2

And 3b+6b

3b+6b= 9b

4+10-2= 12

Since only one has one variable they aren’t like terms and they can’t be combined leaving u with 9b+12

(a) Null and alternative hypotheses for the given problems are as:

[tex]H_o: \mu_1 = \mu_2, H_1: \mu_1 \neq \mu_2[/tex].

(b) We fail to reject the null hypothesis at 5% level of significance.

(c) 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers is  [tex](-1.01292,3.01292)[/tex]

We are given the following information:

mean of x, [tex]\mu_1[/tex]=86

standard deviation of x, [tex]\sigma_1 =12[/tex]

number of observations ([tex]n_1[/tex]) =250

mean of y, [tex]\mu_2[/tex] =85

standard deviation of y, [tex]\sigma_2[/tex] =12

number of observations ([tex]n_2[/tex]) =300

(a) Null hypothesis : there is no  difference between the population mean customer satisfaction scores for the two retailers.

We can write it as: [tex]H_0[/tex] : [tex]u_1 = u_2[/tex]

Alternative hypothesis: there is significant  difference between the population mean customer satisfaction scores for the two retailers.

In notation, it can be written as H₁ : [tex]\mu_1 \neq \mu_2[/tex]

(b) Since the sample size is large enough for both the samples and population standard deviation is known, so the Z-statistic will the appropriate test statistics in this case.

[tex]Z = \dfrac{\mu_1-\mu_2}{\sqrt{\frac{{\sigma_1}^2}{n_1}+\frac{{\sigma_2}^2}{n_2}}}[/tex]

[tex]Z = \dfrac{86-85}{\sqrt{\frac{{(12)}^2}{250}+\frac{{(12)}^2}{300}}}[/tex]

[tex]Z = \dfrac{1}{\sqrt{{\frac{144}{250}}+\frac{{144}}{300}}}[/tex]

[tex]Z = \dfrac{1}{\sqrt{{{0.576}}+{0.48}}}[/tex]

[tex]Z = \dfrac{1}{\sqrt{1.056}}[/tex]

[tex]Z= 0.973[/tex]

At 5% level of significance, the critical value of z is 1.96.

Since the calculated value of the test statistic is greater than the tabulated value of the test statistic.

We fail to reject the null hypothesis.

P-value for z=0.973 is 0.33 which is greater than 0.05, thus we can not reject null hypothesis.

(c) Confidence interval for difference of mean is given by:

[tex]\text{C.I.} = (\mu_1-\mu_2)\pm Z\times \sqrt{{\frac{\sigma ^2}{n_1}+\frac{\sigma ^2}{n_2}}[/tex]

[tex]\text{C.I.} = (86-85)\pm 1.96 \sqrt{{\frac{144}{250}+\frac{144}{300}}[/tex]

[tex]\text{C.I.} = 1\pm 1.96 \sqrt{1.056}[/tex]

[tex]\text{C.I.} = 1\pm 1.96 \times 1.027[/tex]

[tex]\text{C.I.} = 1\pm2.01292[/tex]

[tex]C.I =(-1.01292,3.01292)[/tex]

Hence, the 95% confidence interval is [tex](-1.01292,3.01292)[/tex].

Hence, the results are as:

(a) Null and alternative hypothesis are:

(b) Null hypothesis is accepted at 5% level of significance.

(c) Confidence interval for difference of mean is (-1.01292,3.01292).

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Answer (7, -3)

Step-by-step explanation

Y-axis changes sign of x-coordinate

Answer:

It looks like your first account increases linearly,

unless you have a typo and meant:

f(x) = 10,125(1.83)^x

the second  

exponential and can be written as

g(r) = 9,638(1.95)^r

clearly g(r) has a higher percentage change since 1.95 > 1.83

a more interesting question might have been: When will the amount be the same?

10,125(1.83)^x = 9,638(1.95)^x

10,125(1.83)^x = 9,638(1.95)^x

(1.83)^x = .951901...(1.95)^x

take log of both sides and use log rules

xlog1.83 = log .951901... + log 1.95

x(log 1.83 - log 1.95) = log .951901...

x = .776..

check:

f(.776..) = 10,125(1.83)^.776.. = 1618410

g(.776..) = 9,638(1.95)^.776... = 16184.10

Step-by-step explanation:

Answer:

3.573 ⋅ 0.5108 ⋅ 0.5

Step-by-step explanation:

Answer:

40.5

Step-by-step explanation:

x= ½(122-41)=½(81)= 40.5°

Answer:

point A

because negstives go to the left so find -7 to the left abd its at point A

Answer:point a

Step-by-step explanation:It is point A because it is 2 points ahead of 5

Answer:

the answer is c or 45pie Units

Step-by-step explanation:

The surface area of the right cone is,

⇒ SA = 45π units²

The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of cone (r) = 3 units

Slant height of cone (l) = 12 units

Now, We know that;

The formula that is used to calculate the surface area of a cone is;

⇒ SA = πrl + πr²

Hence, We can substitute all the values we get;

⇒ SA = πrl + πr²

⇒ SA = π × 3 × 12 + π × (3)²

⇒ SA = 36π + 9π

⇒ SA = 45π units²

Thus, The surface area of the right cone is,

⇒ SA = 45π units²

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Answer: [tex]\dfrac{1}{16}x^{-5}y^{-2}z^{4}[/tex]

Step-by-step explanation:

Given

Expression is [tex]\left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0[/tex]

using the Exponent property that is

[tex][(a)^b]^c=a^{b\cdot c}\\a^x\cdot a^y=a^{x+y}[/tex]

Applying the above property

[tex]\Rightarrow \left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0=4^{-2}x^{-2}y^{-6}z^{4}\cdot x^{-3}y^4z^0\\\\\Rightarrow \left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0=4^{-2}x^{-2-3}y^{-6+4}z^{4+0}\\\Rightarrow 4^{-2}x^{-5}y^{-2}z^{4}=\dfrac{1}{16}x^{-5}y^{-2}z^{4}[/tex]

Answer:

x = 78°

Step-by-step explanation:

m<P = 12°

Since PQ is tangent to the circle at point Q, therefore m<Q = 90° (tangent theorem)

x + m<P + m<Q = 180° (sum of triangle theorem)

Substitute

x + 12° + 90° = 180°

x + 102° = 180°

Subtract 102° from each side

x = 180° - 102°

x = 78°

Answer:

n= -6

Step-by-step explanation: