A sphere is cut into 8 congruent pieces. The radius of the
sphere is 8 centimeters. One piece is shown in the diagram,
What is the surface area of one piece of the sphere, as
shown in the diagram? Express the answer in terms .

Answer:

the answer is d.

Step-by-step explanation:

Just plug each value in the x column into the dependent variable equation and see if the dependent variable value is true.

The slope of the tangent line to y(x) at any given x is equal to the derivative dy/dx at that point. Differentiate to get

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{4x-3}[/tex]

and evaluate it at x = 3 to get the slope, 4•3 - 3 = 9.

Answer:

<5 and <8 are vertical angles

so, their measures are congruent

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

hdgjjgggughggugfcghfxxgh

The nth term in an arithmetic sequence is given by n = a + (n - 1) * d, where a is the first term in the sequence, and d is the common difference, given by the expression 2nd term - 1st term = 3rd term - 2nd term = nth term - (n - 1)th term.

So,

n = 1 + (n - 1) * (7 - 1)

n = 1 + (n - 1) * 6

n = 1 + 6n - 6

Take like terms,

n - 6n = 1 - 6

-5n = -5

n = 1,

So the nth term is equal to 1

Answer:

1.8-9=8+(-9)=?

2.+5-(14)= -9

3. -10-(-9)= -1

6.16-(+16)= 0

5.(+17)-(-20)-(12)= 25

8.5-(+7)-(-8)-3-(6)=9

7.-200-(-120)-25=105

10.-18+(-22)-(-31)=9

9.53-(-17)+(-6)=64

that's my answer

Answer:

15.3

Step-by-step explanation:

Just multiply length and width together, as the formula states.

Three hundred and nine point four eight.

Answer:

three hundreds, nine ones. four tenths, eight hundredths

Step-by-step explanation:

the numbers are placed in certain spots from the decimal point that helps you decide which way to read the place

Answer:

Helen kayaked for five hours.

Step-by-step explanation: First subtract the initial fee ($6.00) from the total charge ($21), $21 - $6 = $15. Now, divide the $15 she was charged for kayaking by $3 (because it costs 3 bucks an hour to kayak plus the 6 buck initial fee.) 15 divided by 3 = 5. So she kayaked for 5 hours.

Answer:764.11

Step-by-step explanation:

Answer:

Step-by-step explanation:

same

Answer:

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.

This means that [tex]n = 200, \pi = \frac{150}{200} = 0.75[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.}{2} = 0.975[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004[/tex]

As percent:

0.6996*100% = 69.96%

0.8004*100% = 80.04%.

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

Answer:

$135.51

hope this is rught and hope this helps

Answer:0.143

Step-by-step explanation:

Answer:

There is none there is no variable.

Step-by-step explanation:

Hope this helps!!

Answer:

there is no co efficient a co efficient is the constant before the variable when its attached.

Answer:

71°

Step-by-step explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

Answer:

x = 4

∠R = 71°

Step-by-step explanation:

COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.

[tex]31 - 3x + 19x - 5 = 90[/tex]

To make this problem easier to solve, we can combine like terms.

[tex]26 + 16x = 90.[/tex]

Now, we can proceed.

First, subtract 26 from 26 and 90.

[tex]26 - 26 = 0.[/tex] (cancels itself out).

[tex]90 - 26 = 64.\\[/tex]

Now, we are left with 16x = 64.

Lastly, we divide the number in front of the variable by the answer.

[tex]64/16 = 4[/tex]

Therefore, the value of x is 4.

-------------------------------------------------------------------------------------------------------------

Now that we have the value of x, we can use this value to replace the variable (x).

[tex]19x - 5[/tex]

[tex]19 * 4 - 5 = 71.[/tex]

Therefore, the value of ∠R is 71°.

Answer:

c = (d/a) - b

Step-by-step explanation:

a(c + b) = d

Divide both sides by a

c + b = d/a

subtract b from both sides

c = (d/a) - b

Answer:

Answer C

Step-by-step explanation:

Answer:

answer c

Step-by-step explanation:

trust me

Answer:

i dont know sorry

Step-by-step explanation:

x = 11.2 this is rounded to the nearest tenth :)

Answer:

18.50 positive

Step-by-step explanation:

-18.50 switch it because dollars is positive

Answer:

Attachment: 1 Image

Step-by-step explanation:

Answer:

[tex] \sqrt[4]{2} = 2 ^{ \frac{1}{4} } = 1.189207[/tex]

Answer:

True: Both sides are equal

Step-by-step explanation:

1. [tex]\sqrt[4]{2}=2^{\frac{1}{4}}[/tex]  

2. [tex]2^\frac{1}{4}=2^\frac{1}{4}[/tex]

3. [tex]\frac{1}{4} = \frac{1}{4}[/tex]  

They are Equal, So it true

So there are infinitely many solutions.

Answer:

(4,6)

Step-by-step explanation:

quadrant 1 always has positive coordinates so the only one with all positive coordinates is (4,6)

Answer:

31 square units

Step-by-step explanation:

The 4 sectors to be cut out are 4 quarters of a circle = 1 full circle

Length of square = 12 units

The radius (r) of the circle = ½ of the length of the square = ½(12) = 6 units

Area of the shaded region = area of the square - area of the circle/4 sectors)

= s² - πr²

s = 12 units

r = 6 units

Plug in the values

Area of the shaded region = 12² - π*6²

= 144 - 113.1

≈ 31 square units (nearest square units)

9514 1404 393

Answer:

  900

Step-by-step explanation:

Let x represent the number. The given relationship is ...

  (3/5)x = 2 +(2/3)x

  -2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides

  -30 = x . . . . . . . . . . multiply by 15

Then the square of the number is ...

  x² = (-30)² = 900