It takes 687 Earth days for the planet Mars to revolve around the sun once. How many Earth days does it take Mars to revolve around the sun four times

Greetings!

In this literal equation, the only thing we will have to do is get t by itself. In order to do that we will perform the opposite relation it has with 7, which is division, on both sides.

The answer will be x divided by 7 equals t, x / 7 = t.

Hope this helps!

Answer:

[tex]y=2\cos(2x+\frac{1}{4})-2[/tex]

or

[tex]y=-2\cos(2x+\frac{1}{4})-2[/tex]

Step-by-step explanation:

[tex]y=a cos(c(x-b))+d[/tex] has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

d) vertical shift=d

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

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

You are given the period is pi. So we need to solve pi=2pi/c.

pi=2pi/c

Dividing both sides by pi gives:

1=2/c

Multiply both sides by c gives:

c=2

The vertical shift is -2 so d=-2.

The equation could either be:

y=2cos(2(x-(-1/8)))-2

or

y=-2cos(2(x-(-1/8)))-2

Simplifying a little gives:

y=2cos(2x+1/4)-2

y=-2cos(2x+1/4)-2

Answer:

Step-by-step explanation:

Price per ml of  80ml bottle= 0.68

price per ml of 50 ml bottle= 0.9

therefore two 50ml bottles is a better deal.

Answer:

-3/-11

Step-by-step explanation:

2 negitives make a positive and plus i got it right

The Equivalent Expressions fractions to 3/11 from the options provided are 9/33 and 15/55, as they can be obtained by multiplying the numerator and denominator of 3/11 by the same number.

To find equivalent fractions to 3/11, you would need to multiply or divide both the numerator and denominator by the same number. We need to identify options that result from such actions on 3/11.

   Option A: 6/21: No multiplicative or dividing relation can be found between 3 and 6 or 11 and 21, so this option is invalid.

   Option B: 9/33: This is obtained by multiplying both numerator and denominator of 3/11 by 3. So, this option is valid.

   Option C: 15/55: This is obtained by multiplying both numerator and denominator of 3/11 by 5. So, this option is valid.

   Option D and E: There is no such multiplier or divider that can obtain these fractions from 3/11, so both are invalid.

Thus, the equivalent expressions to 3/11 from the options provided are options B (9/33) and C (15/55).

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The probable question may be:

Find the equivalent expressions to 3/11 from the options below:

Options:

A) 6/21

B) 9/33

C) 15/55

D) 12/45

E) 21/71

Answer:

Width = 12 cm

Length = 14 cm

Step-by-step explanation:

Rectangle:

Let the width  = x cm

So, the length = (x+2) cm

Perimeter  = 52 cm

2 *(l+b) = 52

2 *(x+2  + x) =  52

   2 * ( 2x + 2) = 52

           2x + 2  = 52/ 2

           2x + 2  = 26

                 2x = 26- 2

                  2x = 24

                    x = 24/2

                    x = 12

Width = 12 cm

Length = 14 cm

Answer: Wayne is 35, Mark is 34, and Stan is 33.

33+34+35 = 102

Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.

Let's solve the problem step by step:

Let's assume Stan's age to be x.

According to the given information, Mark's age is one more than Stan's age, so Mark's age is x + 1.

Similarly, Wayne's age is one more than Mark's age, so Wayne's age is (x + 1) + 1 = x + 2.

Now we know that the sum of their ages is 102, so:

x + (x + 1) + (x + 2) = 102

Combining like terms, we get:

3x + 3 = 102

Simplifying the equation, we get:

3x = 99

Dividing both sides by 3, we get:

x = 33

Now we can substitute the value of x in the previous equations:

Stan's age = 33

Mark's age = 33 + 1 = 34

Wayne's age = 34 + 1 = 35

So, Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.

Answer:

86

Step-by-step explanation:

since the slot is 130 cm thick you divide that by the thickness of the candy bar 130/1.5 and then you get 86.6666666.....which rounds to 86 because the slot is not thick enough for another candy bar. good luck on whatever you needed this for!

Answer:

No, because there is no whole number that when multiplied by itself gives 125

Step-by-step explanation:

The square root of 125 is 11.1803.

Some additional info:

[tex]\sqrt{125}=\sqrt{25 * 5} =5\sqrt{5}[/tex]

Hence, it is not a perfect square

No, because there is no whole number that when multiplied by itself gives 125.

To determine if 125 is a perfect square, we need to find a whole number that, when multiplied by itself gives 125.

We will try some numbers:

Since there is no whole number that, when multiplied by itself, equals 125, we will conclude that 125 is not a perfect square.

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Answer:

43

Step-by-step explanation:

The first three numbers are perfect squares:

9 = 3²

16 = 4²

25 = 5²

43 is not a perfect square.

43 does not belong because it cannot ve expressed as perfect square

Perfect numbers are squares of any integer

Given the sequence of numbers 9, 16, 25, 43

From the sequence we can see that the first 3 numbers are perfect squared written as 3², 4², 5², 43

We can see that 43 cannot be expressed as perfect square making it the odd one out of the numbers

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Answer:

9(x+5)=9(5+x)

Step-by-step explanation:

This is tricky because you were probably thrown off by the multiplication step from the parentheses. Since the question wants you to demonstrate your knowledge of the commutative property of addition, you will only worry about inside the parentheses.

So, the commutative property is basically just moving numbers/variables around the addition sign to show that the answer will remain the same either way.

Because of this, we can simply move the (x+5) around to (5+x).

Final answer: 9(x+5)=9(5+x)

Answer:

20

Step-by-step explanation:

The length and with of a square are the same. We know a square has 4 sides so we get 80 ÷ 4

The answer is 20.

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Answer:

Step-by-step explanation:

20

Answer:

  v = 1

Step-by-step explanation:

V - 10 = -9

V = -9 + 10

v = 1

Answer:

bottom left is -2x and bottom right is -3

Step-by-step explanation:

if you were to use a timeline you subtract 5 from 3 and that leaves you -2 and add the x from before and for the bottom right 2 - 5 is negative three if you need help its easy to make a timeline

Answer: Write it out and solve!

Step-by-step explanation: See the attached photo

If you have ANY questions PLEASE ask!

༼ つ ◕_◕ ༽つ

Answer:

2x - y = 7

Step-by-step explanation:

Parallel lines have the same slope and the equation will have the same form

That is

2x - y = c ← c will have different values depending on the point it passes through.

Here the line passes through (3, - 1 ) , thus substituting into the left side

2(3) - (- 1) = 6 + 1 = 7 ← value of c, hence

2x - y = 7 ← equation of line

The line's equation is y = 2x - 7.

In geometry, the coplanar straight lines that do not intersect at any point are called parallel lines. The slopes of parallel lines are equal because they are equally inclined with the positive x-axis.

The equation of the given line is

2x-y = 6

i.e. y = 2x-6

We know that If the equation of a line can be expressed as y = mx+c, then the slope of this line is m.

So, the slope of this given line is 2.

We can assume that the equation of the line which is parallel to the given line can be written as

y = 2x + c ...(1)

, where c is a constant.

Since this line passes through the point (3, -1), you have to put x = 3 and y = -1 in (1), to get the value of the constant.

Now, c = y - 2x = (-1) - 2*3 = (-1) - 6 = -7

Putting this value in (1), we get

y = 2x - 7

Therefore the required equation of the line is y = 2x - 7.

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Answer:13.125

Step-by-step explanation: divide 210 by 16

Answer:

Because the irrational number (pi for example) plus a rational number ( [tex]\sqrt{4}[/tex] the square root of four is two) would be an irrational number (5.1415926535...)  

(I CAN EXPLAIN FURTHER)

A monomial is an expression that has ONE term.

Examples:

[tex]x^2[/tex]

[tex]1[/tex]

[tex]100000[/tex]

[tex]abc[/tex]

[tex]32^3[/tex]

[tex]xy^2[/tex]

[tex]3x^2y^4[/tex]

Answer:

12,9,6

Step-by-step explanation:

12=23 3/20. 9=19 4/5. 6=16 5/8.

The infant's weight was gain the greatest during (0 - 3 Months) three-month period.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

The weight gain during (0 - 3 Months) three-month period

⇒ 12 1/2 - 7 1/4 = 25/2 -29/4 = 12.5-7.25 = 5.25 lb

The weight gain during (3 - 6 Months) three-month period

⇒ 16 5/8 - 12 1/2 = 16.625 - 12.5 = 4.125 lb

The weight gain during (6 - 9 Months) three-month period

⇒ 19 4/5 - 16 5/8 = 19.8 - 16.625 = 3.175 lb

The weight gain during (9 - 12 Months) three-month period

⇒ 23 3/20 - 19 4/5 = 23.15 - 19.8 = 3.35 lb

Therefore, the infant's weight was gain the greatest during (0 - 3 Months) three-month period.

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Answer: B) 25 feet

Step-by-step explanation:

The formula to find the circumference of a circle is given by :-

[tex]C=2\pi r[/tex], where r is the radius of the circle.    (1)

Given : The circumference (C) of the base of a grain silo is 160 feet.

Then,by using (1), we have

[tex]160=2(3.14)(r)\\\\\Rightarrow\ r=\dfrac{160}{2\times3.14}\\\\\Rightarrow\ r=25.4777070064approx25.5\text{ feet }[/tex]

Hence, the radius (r) of the silo= 25 feet

Answer:

D. 5/3

Step-by-step explanation:

Answer:

(3,15)

Step-by-step explanation:

y < /3x/ + 1

15 < /3*3/ + 1

15 < /9/ + 1

15 < 9 + 1

15 < 10

15 is not less than 10.

Answer:38

Step-by-step explanation: so if I am correct the picture says 8 divided by 304 so 8 enters 3 times in 30 so thats 3 and then 64 so it enters 8 times in there so answer is 38

Answer:

yes

Step-by-step explanation:

equivalent sets have the same number of members

Sets A and B are not equivalent, have the same cardinality but no common elements in their intersection.

The sets A and B are not equivalent because they have different members.

The cardinality of set A is 4, and the cardinality of set B is also 4, meaning they have the same number of elements.

The intersection of sets A and B is the empty set, as they have no common elements.

Answer:

489

Step-by-step explanation:

Answer: rational

Step-by-step explanation: irrationals never stop