Can someone help me with this question? please​

Answer:

R = 2.05 cm

Step-by-step explanation:

Volume of a hemisphere

V = ½(4/3)πR³ = (2/3)πR³

18 = (2/3)πR³

R³ = 27/π

R = 2.04835218...

Step-by-step explanation:

a1 = -4 = -4/1, a2 = 8/3

r = a2/a1 = (8/3) / (-4/1) = -2/3

the formula :

an = a1. r^(n-1)

so,

an = (-4). (-2/3)^(n-1)

Step-by-step explanation:

[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]

9514 1404 393

Answer:

  22. E

  23. C

Step-by-step explanation:

These questions are asking you to make use of a couple of trig identities for converting products to sums.

  sin(x)cos(y) = 1/2(sin(x+y) +sin(x -y))

  cos(x)cos(y) = 1/2(cos(x+y) +cos(x -y))

  sin(-x) = -sin(x)

  cos(-x) = cos(x)

__

22. sin(2β/3)cos(4β/3) = (1/2)(sin((2+4)β/3) +sin((2-4)β/3))

  = 1/2sin(2β) +1/2sin(-2β/3) = 1/2sin(2β) -1/2sin(2β/3)

__

23. cos(3θ)cos(5θ) = (1/2)(cos(3θ+5θ) +cos(3θ -5θ)) = 1/2cos(8θ)+1/2cos(2θ)

Answer:

80 silver, 8 red

Step-by-step explanation:

let x be the number of red cars then 10x is the number of silver cards , so

x + 10x = 88

11x = 88 ( divide both sides by 11 )

x = 8

10x = 10 × 8 = 80

There are 80 silver cars and 8 red cars

Answer:

-3x + 6y = 3

Step-by-step explanation:

-4x + x = -3x

9y - 3y = 6y

9 - 6 = 3

9514 1404 393

Answer:

  (x, y) = (9, 5)

Step-by-step explanation:

My preferred method is to solve a system using a graphing calculator. That result is attached.

__

Here, you can multiply the second equation by 4 and add the first equation.

  4(x -3y) +(-4x +9y) = 4(-6) +(9)

  -3y = -15 . . . . . . . . . . simplify

  y = 5 . . . . . . . . . . . . divide by -3

  x -3(5) = -6

  x = -6 +15 = 9

The solution is (x, y) = (9, 5).

Answer:

10 multiplied by the sum of 14 and 11

Step-by-step explanation:

[tex].[/tex]

Answer:

1

Step-by-step explanation:

4/9÷12/27

=4/9×27/12

=3/3

=1

Answer:

4

Step-by-step explanation:

5*2-3*2=10-6=4

Answer:

y= 2× +4

Step-by-step explanation:

Slope intercept form y = mx +b

4x -2y = -8

-2y = -4x-8

y = 2x +4

slope = 2x

y intercept = 4

Answer:

I got B and C.

Step-by-step explanation:

When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.

Answer:

132 particles

Step-by-step explanation:

5 minutes =  11 miles

1 hour (60 minutes)

11*x = 11 x 60 = 660

11x = 660/5=132

The distance of a jet stream can move a particle of air 132 miles in 1 hour.

Here,

A jet stream can move a particle of air 11 miles in 5 minutes.

We have to find, The distance of particles move in 1 hour.

What is distance?

The length along a line or line segment between two points on the line or line segment.

Now,

A jet stream can move a particle of air 11 miles in 5 minutes.

5 minutes = 11 miles

Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles

Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;

⇒ [tex]\frac{11}{5} * 60 = 132[/tex]

So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.

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Answer:

-32°F

Step-by-step explanation:

8°F - 40°F

=> 32°F

Answer:

The slope is the same, whereas b is the y-intercept on the graph, so the y=2x+7 line would be on 7 on the y-axis

Step-by-step explanation:

The equivalent form of the given expression is 1 /(x + y)

The given expression:

[tex]\frac{1}{x+y}[/tex]

To find:

The equivalent form of the expression can be written as follows:

[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]

For example, if x = 1 and y = 2, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]

Also, if x = 2 and y = 3, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]

Thus, the equivalent form of the given expression is 1 /(x + y)

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sun ray in space with the sun being the endpoint

The property that they would never be affected by is the most frequent monthly rent. Option C is correct.

Given that,
Kate collected a sample of monthly rents and recorded the following numbers: $500, $525, $550, $600, $600, $750, $775, $800, $1350. Kate drops the unusually high rent of $1350 from the data set, which of the following would not be affected is to be determined.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
If the rent of $1350 is dropped by Kate, definitely affect the average, highest monthly rent, and the spread of the monthly sheet, but it won't affect the most frequent monthly of rent because the most frequent rent is $600.

Thus,  the property that they would never be affected by is the most frequent monthly rent. Option C is correct.

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Answer:

6

Step-by-step explanation:

192=8*4*w

make w subject to formula

w=192/32

w=6

The expression of width is w = V/(l*h) and the value of width is 6.

Given formula of volume is V = l * w * h .

Substituting width (w) from the above equation,

w = V/(l*h) .

Given expression after substitution is w = V/(l*h) .

⇒ w = 192/(8 * 4)

∴  w = 6 .

Thus the value of width is 6.

Therefore, the expression of width is w = V/(l*h) and the value of width is 6.

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Answer:

125 I think

I'm a lil slow

Grace needs to sell 160 notebooks to make a profit of $120

Two algebraic expressions having the same value and the symbol '=' in between are called as an equation.

Given:

Grace buys notebooks at a price of four for $5.

Unit cost price,

= $5 / 4

= $1.25

And sells them at a price of three for $6.

Unit cost price,

= 6/3

= $2.

Profit = sales - cost

So, the equation,

120 = 2x - 1.25x

0.75x = 120

x = 120/0.75

x = 160

Therefore, 160 notebooks need to sell to maker profit of $120.

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Answer:

2n+18

Step-by-step explanation:

2xn=2n

2x9=18

2n+18

Answer:

A) 3x+4

B) Twice of sum of a number and 9.

Answer:

10¹⁸

Step-by-step explanation:

Ten to the power of x, has x many zeroes behind 1

The original numbers had 18 digits. So, 10¹⁸ is the smallest number that would exceed the original number

Answer:

Rational

Integer

Step-by-step explanation:

B AND C NOT SURE IF ITS CORRECT

indirect variation

Verification

[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]

[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]

Answer:

y = 68

A = 44

Step-by-step explanation:

No matter what may be true, that doesn't look like an a to me.

x = y = 68                x and y are opposite equal sides and are therefore =.

68 + 68 + A = 180  all triangles are 180 degrees.

136 + A = 180          Subtract 136 from both sides

A = 180 - 136

A = 44

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{4}{8} \div \frac{4}{6} [/tex]

[tex] \frac{4}{8} \times \frac{6}{4} [/tex]

[tex] \frac{1}{4} \times 3[/tex]

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

Hi fellow Army^^

Answer:

17/12

Step-by-step explanation:

7/8 x 2-1/3

7/4-1/3

17/12

Answer:

$13,125

Step-by-step explanation:

The value of the interest that will accrue on this loan will be;

⇒ $13,125

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

You and your family are planning a vacation of a lifetime around the world that will cost $25,000.

And, You borrowed this amount from your bank with an annual interest rate of 10.5%.

Now,

Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.

Hence, The total interest amount after five years is,

⇒ 5 × (10.5% of $25,000)

⇒ 5 × (10.5/100 × 25,000)

⇒ 5 × 2,625

⇒ $13,125

Thus, The total interest amount after five years = $13,125

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