Given the sequence \\(\\frac{1}{4},\\frac{1}{8},\\frac{1}{16}\\)\nthen r is _____​

Answer:

19. w * 32

20. p / 41

Step-by-step explanation:

Product is multiplication, divided by is division.

Make sure you pay attention to what the problem says, because multiplication terms can be moved around, but division has to go a certain way.

p / 41

is not the same as

41 / p

however

w * 32

is the same thing as

32 * w

Answer:

b.12

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    [tex]S = (n - 2)180[/tex]

S is the sum of all interior angle measures

n is the number of sides of the polygon

2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> [tex]S = (7-2)180[/tex]

---> (7-2) is 5 since 7 - 2 = 5 so --> [tex]S = 5(180)[/tex]

---> 5(180) is the same as 5 x 180 which is 900 so --> [tex]S = 900[/tex]

This means that the sum of all interior angles is 900 degrees.

3) Now, we have to find out the sum of all the angles that they gave us so:

---> [tex]10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900[/tex]

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

4) We have to combine all like terms on the left side:

---> [tex]10x + 10x + 9x + 12x + 10x = 51x[/tex]

---> [tex]9 + 133 + 14 -9+5+136 = 288[/tex]    

5) This means that ---> [tex]51x + 288 = 900[/tex]

Subtract 288 from both sides  and get:

---> [tex]51x = 612[/tex]    (900-288 = 612)

Then divide by 51 from both sides and get:

---> [tex]x = 12[/tex]     (612 ÷ 51 = 12)

Therefore b.12 is your answer.

Hope you understood and have a nice day!! :D

Step-by-step explanation:

the answer would be

4

2

1

3

5

Answer:

if it's out of 100 it would be 55

Step-by-step explanation:

Answer:

D 55%

Step-by-step explanation:

I am assuming that the "45" is 45$ so then we do 100%-45$=55% But, if the "45" is 1 in 45, then the answer is 1-1/45=44/45 which rounds to 98%. That isn't any of the answers, so should be 55%

Answer: Brazil produces 9,428,400 sugar.

Step-by-step explanation:

That is the answer because 9.7% of 97,200,000 is 9,428,400.

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

Answer:

It is 4/5

Step-by-step explanation:

hope it helps ^^

Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres

Answer:

That is, two objects are congruent if we can move one of the objects, without changing its shape or size, in such a way that it fits exactly over the other image, and we call these movements congruence transformations.

Answer:

D

Step-by-step explanation:

plug in both values into the equations, and whichever one works for both is the right answer

the required equation is, D. y= x+6

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-2,4) and, (2,8)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-4)/(x+2)=(8-4)/(2+2)

=>y-4=x+2

=>y=x+6

Hence, the required equation is, D. y= x+6

To learn more on Equation 0f Straight-Line click:

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Answer:

y-intercept = 1

Slope = 4

Step-by-step explanation:

First, we know that the point-slope equation of a line is given as y = mx + b. Where,

m is the slope, and

b is the y-intercept.

Now let's use this knowledge to solve the given problem.

✔️y-intercept of the equation, y = -2x + 1, would be what? What does b (y-intercept) represented by in the equation?

Our answer is "1".

y-intercept = 1

✔️Slope of y = 4x - 3:

The slope (m) in this equation is 4.

Hey there!

The length of the hypotenuse is about 11 centimeters.

To solve this, we use the formula [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse leg and [tex]a[/tex] and [tex]b[/tex] are the other sides. So we can plug the numbers in to the formula:

[tex]5^2 + 10^2 = c^2[/tex]

Now we get the squares of 5 and 10:

[tex]25 + 100 = c^2[/tex]

Add 25 and 100:

[tex]125 = c^2[/tex]

Take the square root from both sides:

[tex]11.18033... = c[/tex]

The length of the hypotenuse is about 11 centimeters.

Hope it helps and have an amazing day!

The length of Hypotenuse = 11.18 cm

In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Given,

In right angle ΔABC

AB = 5 cm

BC = 10 cm

AC = ?

By the Pythagoras theorem,

AC² = AB² + BC²

AC² = 5² + 10²

AC² = 25 + 125

AC = √125 = 11.18

Hence, 11.18 cm is the length of Hypotenuse AC .

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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Answer: 4.5 cups

Step-by-step explanation:

2:10

4:20

half of a cup would be 5 pancakes

so, 4.5 cups of flour will make 25 pancakes.

Answer:

daaaaaaaaaa

Step-by-step explanation:

ssdddsss

Answer:

D

Step-by-step explanation:

The distribution is approximately normal, and the mean is 0.46.

Answer:

46

Step-by-step explanation:

First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.

It should look like this:

3x - 10 = 2x + 1

Now you just need to solve it.

1) First you add 10 on both sides.

3x - 10 = 2x + 1

   + 10 =    + 10

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

     3x = 2x + 11

2) Then you subtract 2x on both sides.

     3x = 2x + 11

   - 2x =- 2x + 11

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

      x = 11

3) Now you plug in 11 for x.

3x - 10 = 2x + 1

Like this:

3(11) - 10 = 2(11) + 1

33 - 10 = 22 + 1

23 =23

So C to E and E to A = 23

To get from C to A just add 23 + 23 which is 46. And that is ur answer.

Answer:

it is 46

Step-by-step explanation:

First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.

It should look like this:

3x - 10 = 2x + 1

Now you just need to solve it.

1) First you add 10 on both sides.

3x - 10 = 2x + 1

  + 10 =    + 10

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

    3x = 2x + 11

2) Then you subtract 2x on both sides.

    3x = 2x + 11

  - 2x =- 2x + 11

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

     x = 11

3) Now you plug in 11 for x.

3x - 10 = 2x + 1

Like this:

3(11) - 10 = 2(11) + 1

33 - 10 = 22 + 1

23 =23

So C to E and E to A = 23

To get from C to A just add 23 + 23 which is 46. And that is ur answer.

you can slove this in this way if want more explansion ask me

Answer:

the volume will be doubled if the height is doubled

hope it helps you

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

UT is shorter than WT, therefore you cannot use it on this triangle.

I am joyous to assist you at any time.

Answer:

Answer:

B

Step-by-step explanation:

Answer:

(-1,1)

Step-by-step explanation:

4x+2x+3=-3

6x+3=-3

6x=-6

x=-1

y=2(-1)+3

y=-2+3

y=1

Answer:

$98.07

Step-by-step explanation:

Divide 237 by 290 to get the unit price of each meatball

237 / 290 = 0.8172413793

Multiply 0.8172413793 by 120 to get the total cost to make the meatballs

0.8172413793 * 120 = 98.068965516

Round that number to the nearest hundredth

Answer: $98.07

Answer:

x ∈ [-0.369, 0.678]

Step-by-step explanation:

To prove - [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x

As given , f(x) = [tex]\sqrt[4]{1 + 2x}[/tex]

As we know that the linear approximation can be defined as :

L(x) = f(a) + f'(a)(x-a)             .........(1)

Now,

We have to show that at a = 0 , equation (1) satisfies

Now,

f(0) = [tex]\sqrt[4]{1 + 0}[/tex] = 1

Also,

f'(x) =

[tex]\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\[/tex]

∴ we get

f'(x) = [tex]\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }[/tex]

⇒f'(0) = [tex]\frac{1}{2}[/tex]

Now, equation (1) becomes

L(x) = f(0) + f'(0)(x-0)

     = 1 + [tex]\frac{1}{2}[/tex] (x)

⇒ [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x

Hence verified.

Now,

|[tex]\sqrt[4]{1 + 2x}[/tex] - (1 + [tex]\frac{1}{2}[/tex] x ) | ≤ 0.1

⇒ -0.36893 ≤ x ≤ 0.67766

⇒x ∈ [-0.369, 0.678]

Answer:22.2%

thank me later

Answer:

y = -4x - 3

Step-by-step explanation:

The b in the slope-intercept equation represents the y-intercept.

The line crosses the y-axis at (0,-3). Therefore, b = -3.

Since the line is decreasing from left to right, the slope will be negative.

From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.

The slope will be -4/1 or -4.

Therefore, the equation of the line will be y = -4x - 3.

Hope that helps.

Answer:

c. 12x

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

Add the two numbers you have then subtract from 180 because a triangle is 180 degrees

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD