log2^2-log2^16 what is the answer

Answer:

standard form:   y = x² - 2x - 8

vertex form:  y = (x − 1)² - 9

factorized form:  y = (x + 2)(x - 4)

Step-by-step explanation:

From inspection of the graph:

Standard quadratic form:   y = ax² + b x + c

Vertex form of a quadratic equation:   y = a(x − h)² + k

If a > 0 then the parabola opens upwards

If a < 0 then the parabola opens downwards

(h, k) is the vertex

c is the y-intercept

Inputting the vertex into the vertex form gives:

y = a(x − 1)² - 9

  = a(x² - 2x + 1) - 9

  = ax² - 2ax - 8

Using the x-intercepts to create a quadratic equation:

y = a(x + 2)(x - 4)

  = a(x² - 2x - 8)

  = ax² - 2ax - 8a

Comparing the y-intercepts:

-8 = -8a  ⇒  a = 1

Therefore,   y = x² - 2x - 8

Answer: 74.61 ft^3

Step-by-step explanation:

Answer:

60t = y

t; time in hours

60: Speed of the spy fleeing

y: how far he has gone in t hours

Hope this helps!

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Have a great day!!

Answer:

Here is the answer

Step-by-step explanation:

4^4/(6^6)

Answer:

The answer is 24

just multiply 6 and 4 together

Answer:

240 Minutes

Step-by-step explanation:

0.6 per minute × 2 = 1.2 gallons .

120 balloons × 2 mins= 240 mins

Answer:

A. 504

Step-by-step explanation:

on edge 2022

Answer:

A.

Step-by-step explanation:

EDG 2022

Answer:

10

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d

2=10

2=5

Answer:

y=ax, y»a

Step-by-step explanation:

that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point

Answer:

x = 10.8

Explanation:

[tex]\sf \sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

using cosine rule:

[tex]\rightarrow \sf cos(26)= \dfrac{x}{12}[/tex]

[tex]\rightarrow \sf x = cos(26) *12[/tex]

[tex]\rightarrow \sf x =10.8[/tex]

Answer:

The answer is rounded 10.8

Step-by-step explanation:

Cosine is the adjacent side over the hypotenuse, or a/h. So, cos 26=x/12. To solve for x, isolation of the variable is necessary. If both sides are multiplied by 12, the equation becomes 12 (cos 26)=x. The cosine of 26 is 0.8988, which multiplied by 12 is 10.8.

Hope this helps!

Answer

102.1

Step-by-step explanation:

area of the shaded region is the area of the the whole circle subtract area area of the unshaded minor segment.

Answer:

sin is something that we say, think, or do, that displeases God

Step-by-step explanation:

hoped this helped! :)

Answer: 40.82

Step-by-step explanation: You have to multiply pi and 13 to get the answer

Answer:

5.5 hours

Step-by-step explanation:

dibide by 2 one is 5 and one is 6, middle. is 5.5,

The equation of the line in slope-intercept form and standard form that passes through the line are  y = -5 / 6x - 43 / 6 and  5x + 6y = -43 respectively.

The Slope intercept equation is use to represent a linear table or graph. Therefore, the formula is represented as follows

y = mx + b

where

m = slope

b = y-intercept

Hence,

(-5, -3)(1, -8)

m = -8 + 3 / 1 + 5 = - 5 / 6

Using (1, -8) let's find b

-8 = -5 / 6 (1) + b

-8 + 5 / 6 = b

-48 + 5/6 = b

b = -43 / 6

Therefore, the slope intercept equation is y = -5 / 6x - 43 / 6

The equation in standard form is represented as Ax + By = C. Therefore,

y + 5 / 6 x = - 43/6

5x + 6y = -43

learn more on slope intercept equation here: https://brainly.com/question/14440205

Answer:

The smallest number by which 256 must be divided so that the quotient is a perfect cube is 4.

Step-by-step explanation:

Answer:

7.3 ft.

Step-by-step explanation:

The perimeter of a geometrical figure is calculated by adding all side lengths up:

The perimeter of the figure in question is 84.6 ft.

2*(3.4) + 2*(11.3) + 6*(6.8) + (7.1) + ? = 84.6 (it's easier if we write equal terms in multiplying form)

77,3 + ? = 84.6 subtract 77.3 from both sides

? = 7.3 is the length of the missing side

Answer:

3 feet by 7 feet

Step-by-step explanation:

perimeter = 20 feet

area = 21 feet²

If the desk is a rectangle:

perimeter = 2l + 2w = 2 (l+w) = 20

                                    2 (l+w) = 20 , divide both sides by 2

                                          l+w = 10

area = l · w = 21

What numbers we know that have sum as 10 and their product as 21?

l + w = 10

l · w = 21

factors of 21 are 1,3,7

3+7 = 10

3 ·7 = 21

The dimensions of the desk could be 3 feet by 7 feet.

Answer:

x=-9

y=4

Step-by-step explanation:

x + 3y = 3

x - 5y = -29

Multiply the second equation by -1

-x + 5y = 29

Add the two equations together to eliminate x

x + 3y = 3

-x + 5y = 29

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

0x +8y = 32

Divide each side by 8

8y/8 = 32/8

y = 4

Now solve for x

x+3y =3

x+3(4) = 3

x+12 = 3

Subtract 12 from each side

x+12-12 = 3-12

x = -9

Answer:

[tex]x^{2}[/tex] - 2x + 4

Step-by-step explanation:

Hey there!

-6×2×9y = 7y-4+4-690

=> Let's solve your equation step-by-step.

(((−6)(2))(9))(y)=7y−4+4−690

Step 1: Simplify both sides of the equation.

(((−6)(2))(9))(y)=7y−4+4−690

−108y=7y+−4+4+−690

−108y=(7y)+(−4+4+−690)(Combine Like Terms)

−108y=7y+−690

−108y=7y−690

Step 2: Subtract 7y from both sides.

−108y−7y=7y−690−7y

−115y=−690

Step 3: Divide both sides by -115.

−115y/−115 = −690/−115

y=6

Answer:

y=6

Therefore, the value of y = 6

Answer:

y=6

Step-by-step explanation:

(((−6)(2))(9))(y)=7y−4+4−690

−108y=7y+−4+4+−690

−108y=(7y)+(−4+4+−690)

−108y=7y+−690

−108y=7y−690

Subtract 7y from both sides.

−108y−7y=7y−690−7y

−115y=−690

Step 3: Divide both sides by -115.

−115y      -690

−115         -115

y=6

I hope this helped!! If so please mark brainliest and rate my answer <33

Function: y = 5 sin (2(x))+ 12

Find y-intercept:

y = 5 sin 2(0)+ 12

y = 12

​[tex]\sf Y\:Intercepts}:\:\left(0,\:12\right)[/tex]

→ Formula for maximum: M = A + |B|

Maximum:

12 + |5|

17

When y = 17

[tex]\rightarrow \sf 17 = 5 sin (2(x))+ 12[/tex]

[tex]\rightarrow \sf \sf 5 sin (2(x)) = 5[/tex]

[tex]\rightarrow \sf sin (2(x)) = 1[/tex]

[tex]\rightarrow \sf 2x = sin^{-1}(1)[/tex]

[tex]\rightarrow \sf 2x = 90^{\circ \:}, \ \ 450^{\circ \:}[/tex]

[tex]\rightarrow \sf x = 45^{\circ \:}, \ \ 225^{\circ \:}[/tex]

maximum: ( 45° , 17 ), (225° , 17), .....

==========================================================

→  Formula for minimum: m = A ‐ |B|

Minimum:

12 - |5|

7

When y = 7

[tex]\rightarrow \sf 7 = 5 sin (2(x))+ 12[/tex]

[tex]\rightarrow \sf 5 sin (2(x)) = -5[/tex]

[tex]\rightarrow \sf 2(x) = sin^{-1}(-1)[/tex]

[tex]\rightarrow \sf x = -45^{\circ \:} , \ \ 135^{\circ \:}[/tex]

minimum: ( -45°,7), (135°, 7), .....

Repeat the same process for finding more values on the x-axis, or just follow the trend of the curve from the points found and sketch the graph easily.

[tex]\sf Domain\:\left(-\infty \: < x < \infty )[/tex]

[tex]\sf Range : 7\le \:f\left(x\right)\le \:17[/tex]

Sketched below:

Answer: h + 97 = 240

Step-by-step explanation:

Total hours worked per year: 240 hours

Current hours worked so far: 97 hours.

The variable h represents hours

Therefore, h + 97 = 240

Answer:

20

Step-by-step explanation:

I'm not too sure why 22 is there. Triangle = (bh) / 2

90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.

Answer:

First, we must know the formula for the area of a triangle.

A = BH x 1/2

Where 'b' represents the base, and 'h' represents the height.

Multiplying by 1/2 basically means dividing the result of (base x height) by 2.

Now we plug in what we know, given the dimensions shown.

We know that the area is 90 square units.

We also know that the height is 9, so;

A = BH x 1/2

90 = B(9) x 1/2

Solve for B:-

90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2

90 = 9b x 1/2

Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;

*2         *2

180 = 9b

To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.

÷ 9    ÷ 9

20 = b, our base is 20 square units.

Answer:

B

C/15=3

Step-by-step explanation:

They devided the coconuts among 15 children

3x15 =45

45÷3 =15

So the number of coconut the kids gathered is 45

C/15=3 multiply by 15 on both side

15/1 ×c/15=3×15

C=3×15

C=45

The functions f, g and f ◦ g are illustrations of relations and functions

If f and f ◦ g are onto, it does not necessarily follow that g is onto

The onto functions are given as:

Consider the functions f and g.

The function f is an onto function, if for every element of function f, there is at least one matching element  with function g.

The above definition implies that the following definition is not a condition for the two functions to be an onto function

If for every element of function g, there is at least one matching element  with function f.

Hence, it does not necessarily follow that function g is onto

Read more about relations and functions at:

https://brainly.com/question/10283950

Step-by-step explanation:

I think it will help you.

Look at the example

Let's use mid-term splitation

[tex]\\ \rm\rightarrowtail 6x^2-5x-6[/tex]

[tex]\\ \rm\rightarrowtail 6x^2+4x-9x-6[/tex]

[tex]\\ \rm\rightarrowtail 2x(3x+2)-3(3x+2)[/tex]

[tex]\\ \rm\rightarrowtail (2x-3)(3x+2)[/tex]

Check the picture below.

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

Net profit is the amount of a business earn after deducting all the expenditure over it.

Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town.

He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below.

Using the regression graph, the quadratic equation we get for this data as,

[tex]y=192.4493x^2+3318.1733x+39998.214[/tex]

For the 6 year value,

[tex]y=192.4493(6)^2+3318.1733(6)+39998.214\\y\approx 66835.43[/tex]

This value is much near to the option b which is $66,933.60.

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

Learn more about the Net profit here;

https://brainly.com/question/4177260

Answer:

I guess it is 43.57 Hope it helps!!!