Which number comes next in this series 1/64 1/32 1/16 1/8 1/4 1/2

Answer:

x = -3

Explanation:

[tex]\rightarrow \sf \sqrt[3]{\sf 3x + 1} = -2[/tex]

[tex]\rightarrow \sf \sf 3x + 1 = (-2)^3[/tex]

[tex]\rightarrow \sf \sf 3x + 1 = -8[/tex]

[tex]\rightarrow \sf \sf 3x = -8-1[/tex]

[tex]\rightarrow \sf \sf 3x = -9[/tex]

[tex]\rightarrow \sf \sf x = -3[/tex]

Answer:

[tex]\sqrt[3]{3x+1} =-2\\(\sqrt[3]{3x+1})^{3} =(-2)^{3} \\3x+1=-8\\3x=-9\\x=-3[/tex]

Hope it helps!

Answer:

D

Step-by-step explanation:

You do 180-125 to find the angle (because its a straight line) and then you get 55, then you have a right angle so you have 90 and then you do:

55+90+p=180

and then you get

145 +p=180

180-145=35

p=35

Answer:

- 7x + 5y= (-11) -------(1)

-4x + 3y,= (-7) ----------(2)

Multiplying eq 1 with 3 and eq 2 with 5

3( -7x + 5y) = 3(-11)

5(- 4x + 3y) = 5(-7)

-21x + 15y = (-33)

-20x + 15y,= (-35)

Subtracting both the eq.

-x = 2

x = (-2)

Putting this value in eq. 1

- 7x + 5y= (-11)

-7(-2)+ 5y= (-11)

14 + 5y = (-11)

5y = (-11) - 14

5y= (-25)

y = (-5)

Answer:

[tex]\fbox {See below} \downarrow[/tex]

Step-by-step explanation:

[tex]\textsf {The function is :}[/tex]

[tex]\boxed {h(x) = 2x - 2}[/tex]

[tex]\textsf {Finding the missing values :}[/tex]

[tex]\textsf {The table :}[/tex]

[tex]\left[\begin{array}{ccc}x&f(x)\\-4&-10\\-2&-6\\1&0\\4&6\\5&8\end{array}\right][/tex]

The decimal expansion of 2 1/6 is 2.167

The expression is given as:

2 1/6

Rewrite the expression as:

2 + 1/6

Express 1/6 as decimal

2 + 0.167

Evaluate the sum

2.167

Hence, the decimal expansion of 2 1/6 is 2.167

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The percentage decrease would be 70 percent.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The price of an item has dropped to 27$ today. Yesterday it was 90.

90 - 27 = 63

The percentage decrease;

63 / 90 x 100= 70%

Hence, The percentage decrease would be 70 percent.

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Answer:

1) (4 - 2 + 1)^3

2) 3^2(4 - 1)

3) 3^4/2 + 1

It can be either one of those

Answer:

Step-by-step explanation:

how to make 27 using 1,2,3,4 only once

Remember Pemdas

(2 * 4 + 1) * 3 =

(8 + 1) * 3 =

9 * 3 =

27

The correct classification for √18 is an irrational number, non-repeating decimal.

The correct classification of √18 is an irrational number.An irrational number is a number that cannot be expressed as a fraction (ratio) of two integers and cannot be written as a terminating or repeating decimal.

√18 cannot be simplified to a fraction, and when expressed as a decimal, it is a non-repeating decimal that continues indefinitely without a pattern.

Therefore, the correct classification for √18 is an irrational number, non-repeating decimal.The number √18 is the square root of 18. An irrational number is a number that cannot be expressed as a fraction of two integers (a/b) where a and b are integers and b is not equal to zero.

When we calculate the square root of 18, we find that it is approximately 4.24264. However, this decimal representation continues indefinitely without repeating or terminating. It does not settle into a pattern of digits that repeats infinitely like a rational number or terminate after a finite number of decimal places.

Since √18 cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating, it falls under the category of an irrational number.

Therefore, the correct classification of √18 is an irrational number, specifically a non-repeating decimal.

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Answer:

9.1

Step-by-step explanation:

3(9.1)=27.3

27.3÷3=×

×=9.1

Answer:

6x = 9

Step-by-step explanation:

4x-5y  = 12

2x+5y  = -3

Add the equations together

4x-5y  = 12

2x+5y  = -3

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

6x + 0y = 9

6x = 9

Answer:

B. 6x = 9

Step-by-step explanation:

4x - 5y = 12

+ 2x + 5y = -3

____________

6x + 0 = 9

Hence, option B. 6x = 9 is the correct answer.

Answer:

Function g(x) is function f(x) vertically stretched by a factor of 6, reflected in the x-axis, and translated 2 units up.

Step-by-step explanation:

The graph of function f(x) is the parent function.

(Parent functions are the simplest form of a given family of functions).

The graph of g(x) is related to the graph of f(x) by a series of transformations.  To determine the series of transformations, work out the steps of how to go from f(x) to g(x).

Transformations

For a > 0

[tex]\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of }\:a \\& \textsf{If }a > 1 \textsf{ it is stretched by a factor of}\: a\\& \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of}\: a \end{aligned}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

Parent function:

[tex]f(x)=x^3[/tex]

Step 1

Multiply the parent function by 6:

[tex]\implies 6f(x)=6x^3[/tex]

Therefore, this is a vertical stretch by a factor of 6.

Step 2

Now make the function negative:

[tex]\implies -6f(x)=-6x^3[/tex]

Therefore, this is a reflection in the x-axis.

Step 3

Finally, add 2 to the function:

[tex]\implies -6f(x)+2=-6x^3+2[/tex]

Therefore, the function has been translated 2 units up.

Conclusion

Function g(x) is function f(x) vertically stretched by a factor of 6, reflected in the x-axis, and translated 2 units up.

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Answer:

See below

Step-by-step explanation:

Slope = rise / run

           from 0,-1   to  1.5 , 0

               this is    1 / 1.5    =   2/3

y xis intercept = -1

y = 2/3 x   -1            Slope intercept form

2/3 x - y   = 1             another form

2x - 3y = 3                Standard form (I think this is 'standard form' ....yah?)

Substituting in y=15,

[tex]\frac{1}{5}x-\frac{2}[3}(15)=30\\\\\frac{1}{5}x-10=30\\\\\frac{1}{5}x=40\\\\x=\boxed{200}[/tex]

Answer:

8

Step-by-step explanation:

8*25=2.00

2.00+.90=2.90

The question can't be solved because we can't have negative sign under square root

Answer:

 -5 +6i

Step-by-step explanation:

Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.

__

We know that √(-1) ≜ i. This means the radicals can be simplified to ...

  [tex]\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i[/tex]

So the expression becomes ...

  (4 +9i) -(9 +3i)

Like terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.

  (4 +9i) -(9 +3i) = 4 +9i -9 -3i

  = (4 -9) +(9 -3)i

  = -5 +6i

Answer:

5x - 10

Step-by-step explanation:

→ Find the sum of the expression

3x - 4 + 2x - 6

→ Collect all the x terms

3x + 2x - 4 - 6

→ Simplify

5x - 10

Using linear functions, it is found that the airplane and the helicopter will be at the same altitude after 20 minutes.

A linear function is modeled by:

y = mx + b

In which:

The functions that gives the height of the airplane and the helicopter, after t minutes, is given by:

They will be equal when:

A(t) = H(t).

Hence:

30000 - 1000t = 500t

1500t = 30000

t = 30000/1500

t = 20 minutes.

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Here you go! please make sure you read it all too understand it, and make sure you try work before asking for help :D Have a awesome day/night

Answer:735

Step-by-step explanation:I was hoping you’d have another. Dv/dt=d/dt((7+5t)^3)=3x5x((7+5t)^2)=15x49. Does this work?

Answer:

1256 cm

Step-by-step explanation:

First we must find the perimeter, because the perimeter is equal to 1 revolution.

The perimeter of any circle is Pi(Diameter)

3.14*20

62.8 cm is the perimeter of the bike wheel.

Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:

1256 cm

Answer:

26.2 feet

Step-by-step explanation:

tan(50°) = h/22

h = 22 × tan(50°) = 26.2 feet

Answer:

£8 : £12

Step-by-step explanation:

2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12

Answer: -4 pounds

Step-by-step explanation:

       The hibernating animal lost 4 pounds. This means we are 4 below wherever the animal's weight was in the beginning. This can be represented with a negative number;

          -4 pounds

A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. The shape can be completed as shown below.

A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. It signifies that one side is a mirror image of the other. The line of symmetry is the imaginary line or axis along which you can fold a figure to produce the symmetrical halves.

The shape can be completed as shown below, so that the complete shape is symmetrical about the given axis.

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Answer:

false

Step-by-step explanation:

the answer is x=70

The expression for the total revenue from x thousand sales is 155,000x - 100x².

The value of x is 775 cents and the maximum revenue is $60,062,500.

First, come up with an expression for total revenue from x thousand sales:

= (155  - x /10 ) × x × 1,000 units

= 155,000x - 100x²

The value of x would then be:

Derive the function from the total revenue function to give:

0 = 155,000 - 200x

x = 775 cents

The maximum revenue is therefore:

= 155,000(775) - 100(775)²

= $60,062,500

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We have that the ways 5-person committee such that exactly 2 local business owners are represented is mathematically given as

N=5940

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The Probability that 2 local business owners are represented on the committee is given by finding the ways they can be seated amongst the 5

Generally, 2 local business owners are represented is mathematically given as

N=11C3 x 9C2

Therefore

N=165 x 36

N=5940

Therefore the way 5-person committee such that exactly 2 local business owners are represented is mathematically given as

N=5940

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The equation of the circle is [tex](x-8)^2 + (y-6)^2 = 25[/tex].

Step-by-step explanation:

To get the angle of QPR, we subtract 90-60=30. This proves that the triangle is a 30,60,90, as angle QRP must be 60°. To get the area, we must know the length and width. These can be derived from a known relationship within 30,60,90 triangles.

[tex]qp = \frac{\sqrt{3}}{2} n[/tex]

[tex]qr = \frac{1}{2} n[/tex]

[tex]pr = n[/tex]

because half of pr is 10, we can conclude that n is 20. So we plug 20 into N for QP and QR, and get values of

[tex]qp = 5 \sqrt{3} [/tex]

[tex]qr = 5[/tex]

Now we multiply (l*w)/2 and get:

[tex] \frac{(5 \sqrt{3} \times 5)}{2} = 21.65 \: units[/tex]