A circle has a circumference of 28.26 unites. What is the diameter of the circle?

Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the x- term

3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )

= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x - 2) ← in factored form

Answer:

Mercury 1.3, Venus 3.3, Jupiter 39.2, Saturn 33.1, Uranus 14, Neptune 13.6

Step-by-step explanation:

The scaled diameter of each planet is:

Mercury - 1.3 cm

Venus - 3.3 cm

Jupiter - 39.2 cm

Saturn - 33.1 cm

Uranus - 14 cm

Neptune - 13.6 cm

Given,

The ratio between the earth's actual diameter and its scaled diameter can be used to find the scaled diameter of the other planets.

Earth's diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table.

Using the calculations shown, Mars's diameter of 6,792 would be scaled to 1.9 centimeters.

Use this same process to complete the table with the scaled diameters of the other planets.

Round each answer to the tenths place.

If two given ratios are equal we say that the ratios are in proportion.

Example:

1/2 and 4/8 are in proportion.

- 1/2

- 4/8 = 1/2

We have,

Earths diameter = 12,756 km

It is scaled to 3.5 cm

The ratio is:

= 12,756 km /3.5 cm

Since each planet is in proportion with each planet.

We have,

Let the scaled diameter be d.

- Mercury d

12,756 / 3.5 = 4879 / d

d =  (4879 x 3.5) / 12756

d = 1.3 cm

- Venus d

12,756 / 3.5 = 12104 / d

d = (12104 x 3.5) / 12756

d = 3.3 cm

- Jupiter d

12,756 / 3.5 = 142984 / d

d = (142984 x 3.5) / 12756

d = 39.2 cm

- Saturn d

12,756 / 3.5 = 120,536 / d

d = (120536. x3.5) / 12756

d = 33.1 cm

- Uranus d

12,756 / 3.5 = 51118 / d

d = (51118 x 3.5) / 12756

d = 14 cm

- Neptune d

12,756 / 3.5 = 49, 528 / d

d = (49528 x 3.5) / 12756

d = 13.6 cm

Thus the scaled diameter of each planet is:

Mercury - 1.3 cm

Venus - 3.3 cm

Jupiter - 39.2 cm

Saturn - 33.1 cm

Uranus - 14 cm

Neptune - 13.6 cm

Learn more about ratios in proportion here:

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Answer:

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Answer: multiply

Step-by-step explanation:

Answer: A rotation of 180° around the origin.

Step-by-step explanation:

When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.

This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.

Now, let's analyze our case:

First a reflection over x-axis, and then a reflection over the y-axis.

This means that if our point starts in quadrant 1 then:

-The reflection over the x-axis will leave our point in quadrant 4.

-The reflection over the y-axis will leave our point in quadrant 3.

Now, if our point stated on quadrant 2.

-The reflection over the x-axis will leave our point in quadrant 3.

-The reflection over the y-axis will leave our point in quadrant 4.

So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.

This means that:

The distance between our point and the x-axis does not change.

The distance between our point and the y-axis does not change.

But if the distances to both axes do not change, then the distance between our point and the origin also does not change.

This means that we can find a rotation that is equivalent to this transformation.

So we must look at a rotation that moves our point 2 quadrants.

a rotation that moves our point 2 quadrants will be:

A rotation of 180° around the origin.

Answer:

3/10 of the renaming full pizza has pepperoni

Step-by-step explanation:

Here, we want to calculate how much of the remaining pizza had pepperoni.

From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni

she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni

The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10

This means that 3/10 of the remaining full pizza has pepperoni

Answer:

83 points.

Step-by-step explanation:

Answer:

The correction is  D

Step-by-step explanation:

From the question we are told that

    The maximum height is  [tex]h_m = 18 ft[/tex]

    The minimum height is [tex]h_i = 4 ft[/tex]

     The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds

 Now at maximum height

       [tex]18 = - 14 sin(x) + 18[/tex]

=>     [tex]-14 sin(x) =0[/tex]

=>     [tex]sin(x) =0[/tex]        

=>     [tex]x =sin^{-1}[0][/tex]

=>     [tex]x =0 \ s[/tex]    

 Now at minimum  height

        [tex]4 = -14 sin(x) + 18[/tex]

=>      [tex]-14 = -14 sin(x)[/tex]

=>     [tex]sin (x) = 1[/tex]

=>     [tex](x) = sin^{-1}[1][/tex]

=>     [tex]x = 1.6 \ s[/tex]

Now this values is the time taken to move from the higher position of the blade to the lower position of the blade

Now it will take this same amount of time to complete the circle

So the total time take is

    [tex]x_t = 2 * |x|[/tex]

=>   [tex]x_t = 2 * 1.6[/tex]

=>   [tex]x_t = 3.2 \ s[/tex]

Answer:

4.25

Step-by-step explanation:

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges [tex]= 10+12t[/tex]

For Tami's Toning,

Total charges [tex]=14t[/tex]

Now solve [tex]10+12t=14t[/tex]

[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]

So, total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

Answer:

2.03

Step-by-step explanation:

Answer:

(2,-11) is the vertex

Answer:

Step-by-step explanation:

[tex]f(x)=3x^2-12x+1\\\\f(x)=3(x^2-4x)+1\\\\f(x)=3(x^2-2\cdot x\cdot2+2^2-2^2)+1\\\\f(x)=3(\underline{x^2-4x+4}-4)+1\\\\f(x)=3[(x-2)^2-4]+1\\\\f(x)=3(x-2)^2-12+1\\\\f(x)=3(x-2)^2-11[/tex]

the vertex form of parabola's equation is: f(x) = a(x - h)² + k with vertex (h,k)

x-h = x-2  ⇒  h = 2

+k = -11    ⇒   k = 11

Answer:

[tex]10\frac{7}{8}[/tex]

Step-by-step explanation:

You simply add the fractions up!

First thing is that [tex]\frac{1}{4} = \frac{2}{8}[/tex] So we can write the fractions as:

[tex]4\frac{2}{8} + 6\frac{5}{8}=4+6\frac{2+5}{8}=10\frac{7}{8}[/tex] tons of gravel was hauled.

Answer:

7 7/8  ton of gravel

Step-by-step explanation:

Its pretty easy actually. All you need to do is add 4 1/4 and 6 5/8.

Let's simplify it and then make a common denominator! (It is 8)

5   x  2  =  10

4   x  2  =  8

Then add:

10  x  53   =  64

8        8         8

Then simplify! And you get

7  7/8

Hope this helped!  :)

Answer:

x = 7.416666667

Step-by-step explanation:

Set everything equal to 180 (the total # of degrees in a triangle)

180 = 14x-13 + 4x+13 + 6x+2

Combine the variables

180 = 24x - 13 + 13 + 2

Do the math

180 = 24x +2

178 = 24x

x = 7.416666667

A variable is, to put it simply, a quantity that can be altered and is not fixed. If the variables be (14x – 13), (4x + 13) and (6x + 2) then the value of x exists 7.416666667.

An unknown numerical value in an equation or algebraic expression is represented by a symbol (typically a letter) in algebra. A variable is, to put it simply, a quantity that can be altered and is not fixed.

Let the variables be (14x – 13), (4x + 13) and (6x + 2).

Set all values to 180 (the sum of the triangle's degrees).

180 = (14x - 13) + (4x + 13) + (6x + 2)

180 = 14x - 13 + 4x + 13 + 6x + 2

simplifying the above equation, we get

180 = 24x - 13 + 13 + 2

180 = 24x +2

178 = 24x

Divide both sides of the equation by 24, we get

178/24 = 24x/24

x = 7.416666667

Therefore, the value of x = 7.416666667.

To learn more about variables refer to:

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Answer:

X=1

Step-by-step explanation:

Answer:

X = 1

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its D i took test 2020 edge

Answer:

-4

Step-by-step explanation:

Answer:

y = (-1/2)x + 4

Step-by-step explanation:

Slope (m): (-1/2)

down one, right two

y-intercept (b): 4

y = mx + b

The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]

To find the slope, you must put the 2 points into the slope equation.

[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]

And to find the y-intercept, you must find where the line crosses the y-axis.

(0,4)

Answer:

50 orange drinks are in the machine.

Step-by-step explanation:

40/8 = 5

5*10 = 50

Answer:

Step-by-step explanation:

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

y4

12

=

y

9

1

12

y4=

1

9

y

Step 1: Subtract 1/9y from both sides.

1

12

y4−

1

9

y=

1

9

y−

1

9

y

1

12

y4+

−1

9

y=0

Step 2: Factor left side of equation.

y(0.083333y3−0.111111)=0

Step 3: Set factors equal to 0.

y=0 or 0.083333y3−0.111111=0

y=0 or y=1.100642

Answer:

y=0 or y=1.100642

Answer:

y = 3

Step-by-step explanation:

4/12 = y/9

=> 4(9) = 12y

=> 36 = 12y

=> 12y = 36

=> y = 36/12

=> y = 3

Answer:

Hope it help you

Stayhomestaysafe

Plz mark my answer brainliest✍️✍️

Step-by-step explanation:

Answer is -4

REAL NAME - SHRESTH DUBEY

-4 is the Answer.

-32/8 would be -4

Answer:

0

Step-by-step explanation:

look at the first numbers

Answer:

1,0,1,1,0,1,1,1,0,1,1,1,1,0

hope it helped :)

Step-by-step explanation:

Answer:

4.53%

Step-by-step explanation:

We are told that:

From the question, we have a 6.5 % coupon

Hence = 6.5 × $10

= $65

Price of the bond one year later = $1,037.19

$1,054.47 - $1,037.19

= $17.28

Rate of Return

= ($65.00 - $17.28)/$1,054.47

47.72 ÷ 1054.47 = 0.045254962

0.045254962 × 100 =

4.5254962 %

Approximately = 4.53%

Answer:

[tex]8x^{3}+3-\frac{4}{x-8}[/tex]

Step-by-step explanation:

Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.

Answer:

c

Step-by-step explanation:

-4 -y = -2x

+4           +4

-y = -2x + 4

multiple everything by -1 to get y by itself

y = 2x - 4

Answer:

$5.58

Step-by-step explanation:

Because divide 12 by 67:

67 ÷ 12 = 5.58

5.58 is the answer

Hope this helped! Pls Brainliest!

Answer:

$5.58

Step-by-step explanation:

$67.00÷12=$5.58

Hope this helps!