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describe how a spaceship sent back on earth

The given statement is false because the total number of toes and fingers are 30 and not 35.

We are told that If a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.

Now, we know that a glove has space for 5 fingers. This means that three gloves would have a total of; 5 * 3 = 15 fingers

Now, a shoe has space for 5 toes. Thus;

Three shoes would have a total of; 5 * 3 = 15 toes

Thus;

Total fingers and toes = 15 + 15 = 30

Thus, we conclude that the given statement is false because the total number of toes and fingers are 30 and not 35.

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Given:

[tex]\dfrac{5}{6+2i}[/tex]

To find:

The  quotient in the form a + bi.

Solution:

We have,

[tex]\dfrac{5}{6+2i}[/tex]

Multiply numerator and denominator by 6-2i.

[tex]=\dfrac{5\times (6-2i)}{(6+2i)\times (6-2i)}[/tex]

[tex]=\dfrac{5(6)+5(-2i)}{6^2+(2i)^2}[/tex]

[tex]=\dfrac{30-10i}{36+4i^2}[/tex]

[tex]=\dfrac{30-10i}{36+4(-1)}[/tex]    [tex][\because i^2=-1][/tex]

On further simplification, we get

[tex]=\dfrac{30-10i}{36-4}[/tex]

[tex]=\dfrac{30-10i}{32}[/tex]

[tex]=\dfrac{30}{32}-\dfrac{10i}{32}[/tex]

[tex]=\dfrac{15}{16}+(-\dfrac{5}{16})i[/tex]

Therefore, the form a+bi is [tex]\dfrac{15}{16}+(-\dfrac{5}{16})i[/tex], where, [tex]a=\dfrac{15}{16}[/tex] and [tex]b=(-\dfrac{5}{16})[/tex].

Answer:

5 hours

Step-by-step explanation:

Let x represent the amount of hours that ralph can do.

Let y represent the money he earned.

Let m represent how much he earns per hour.

Let b represent the initial fee

y=mx+b

y=33x + 24

189=33x+24

Solve for x:

189=33x+24

165 = 33x

x=5

Answer:

the cost of one sweater is $40

Step-by-step explanation:

The computation of the cost of the one sweater is shown below;

Let us assume the sweater be x

And, the pant be y

Now the equations are

2x + y = $120 ..............(1)

x + 2y = $120................(2)

Now multiply by 2 in equation 1

4x + 2y = $240

x + 2y = $120

3x = $120

x = $40

Hence, the cost of one sweater is $40

Answer:

The growth rate is 0.6

The growth factor is 1.6

Step-by-step explanation:

Generally, the exponential equation can be written as;

y = a(1 + r)^x

Where a is the initial value of 100

r is the growth rate

So let us form equations;

160 = 100(1 + r)^1 •••••(i)

Also;

256 = 100(1 + r)^2 •••••••(ii)

Divide equation ii by i

256/160 = 1 + r

1.6 = 1 + r

r = 1.6-1

r = 0.6

6x² is the total area, in square feet, covered by the wood panels.

What is area?

A wall is covered with 6 wood panels. Each panel is a square with a side length of "X" feet.

So based on this, we can say that The expression to represent the total area, in square feet,

So, the wood panels is to be considered as the 6 ×  x² = 6x²

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The quadratic function that includes the set of values is y = -2x^2 + 7x + 6

The set of values is given as

(0,6) (2,12) (3,9)

A parabola is represented as

y = ax^2 + bx + c

At (0, 6), we have

6 = a(0)^2 + b(0) + c

This gives

c = 6

So, we have

y = ax^2 + bx + 6

At (2, 12), we have

12 = a(2)^2 + b(2) + 6

This gives

4a + 2b = 6

At (3, 9), we have

9 = a(3)^2 + b(3) + 6

This gives

9a + 3b = 3

Using a graphing tools, we have

a = -2 and b = 7

So, we have

y = -2x^2 + 7x + 6

Hence, the quadratic function that includes the set of values is y = -2x^2 + 7x + 6

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Answer:

1)10.57

2)5.91

Step-by-step explanation:

1)According to Pythagoras theorem

c=√a²+b²

=√5.2²+9.2²

=√27.04+84.64

=√111.68

=10.57

2) according to Pythagoras theorem

c²=a²+b²

6.5²=2.7²+b²

b²=6.5²-2.7²

b=√6.5²-2.7²

=√42.25-7.29

=√34.96

=5.91

Answer:

They focus on the positive, by focusing on the positive the client feels better  about himself and it builds more confidence.

9514 1404 393

Answer:

  8m³ -4m² +3m

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its three sides. Here, you're given the perimeter and two of the sides. The third side will be the length that makes up the difference.

  P = side 1 + side 2 + side 3

  18m³ +2m² -m = (5m³ +3m² -2m) +(5m³ +3m² -2m) + side 3

  18m³ +2m² -m = (10m³ +6m² -4m) + side 3 . . . . . collect terms

  18m³ +2m² -m - (10m³ +6m² -4m) = side 3 . . . . . subtract (10m³ +6m² -4m)

  m³(18 -10) +m²(2 -6) +m(-1 +4) = side 3 . . . . . . . . . group like terms

  8m³ -4m² +3m = side 3

Answer:  310.5       2) 7 , -1

Step-by-step explanation:

1) divide 229.50 by 17 (13.5) and multiply by 23 (310.5)

2) To find the vertical asymptotes, set the denominator equal to zero and solve for x. This is already factored in, so set each factor to zero and solve. Since the asymptotes are lines, they are written as equations of lines. The vertical asymptotes are 7 and -1.

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=1,\:y=-3[/tex]

As the system of equations has only one solution, thus the solution consistent.

Step-by-step explanation:

Given the system of equations

4x - 5y = 19

y = x - 4

Solving the system of equations by using the substitution method.

[tex]\begin{bmatrix}4x-5y=19\\ y=x-4\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=x-4[/tex]

[tex]\begin{bmatrix}4x-5\left(x-4\right)=19\end{bmatrix}[/tex]

[tex]4x-5\left(x-4\right)=19[/tex]

[tex]-x+20=19[/tex]

isolate x for [tex]-x+20=19[/tex]

[tex]-x+20=19[/tex]

[tex]-x=-1[/tex]

Divide both sides by -1

[tex]\frac{-x}{-1}=\frac{-1}{-1}[/tex]

[tex]x=1[/tex]

[tex]\mathrm{For\:}y=x-4[/tex]

[tex]\mathrm{Subsititute\:}x=1[/tex]

[tex]y=1-4[/tex]

[tex]y=-3[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=1,\:y=-3[/tex]

As the system of equations has only one solution, thus the solution consistent.

Please remember that if the system of equations has only one solution, then it is an independent system of equations.

Answer: 3x+4y=5

Step-by-step explanation:

[tex]\displaystyle\\y=-\frac{3}{4}x+\frac{5}{4} \\\\Multiply \ both\ parts\ of \ the\ equation\ by\ 4:\\\\(4)(y)=(-\frac{3}{4}x )(4)+(\frac{5}{4})(4)\\\\4y=-3x+5\\\\4y+3x=-3x+5+3x\\\\ 3x+4y=5[/tex]

Answer:

Step-by-step explanation:

(2x - 2) - 2x > (4x + 6) - 2x

-2 > 2x + 6

(-2) - 6 > (2x + 6) - 6

-8 > 2x

-8/2 > (2x)/2

-4 > x

Answer:

x < - 4

Step-by-step explanation:

2x - 2 > 4x + 6 ( subtract 4x from both sides )

- 2x - 2 > 6 ( add 2 to both sides )

- 2x > 8

divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x < - 4

Answer:

In scientific notation the number would be 2×10^6.

Hope it helps!

Answer:

0.80

Step-by-step explanation:

Answer: 32% is equal to 32/100.

Step-by-step explanation: This is because 32% is also equal to 0.32. Percents are evaluted with the fraction denominator 100. 32/100 is also 32 parts out of 100 parts. This expression represents 32%.

Answer:

The sorted inputs in order from least to greatest is:

0.27 < 35% < 27 < 35

Step-by-step explanation:

Given the data

0.27, 27, 35%, 35

as

so Rewriting these inputs as decimals:

0.27, 27, 0.35, 35

Sorting this table by decimal values in order from least to greatest:

0.27    35%        27       35

0.27  <  0.35    <  27  <   35

Thus, the sorted inputs in order from least to greatest is:

0.27 < 35% < 27 < 35

Answer:

A

Step-by-step explanation:

0.27

2/7 = .28

35% = 0.35

3/5 = 0.6

Answer:

The linear function is;

Tn-1 = Tn + 3

What this mean is that to get the term before the present term, we add 3 to the present term

Step-by-step explanation:

Here, we want to write a liner function to describe the function

As we can see from the numbers listed,

the next term is simply obtained by deducting 3 from the previous term

We can write this as:

Tn-1 = Tn + 3

Where Tn is the next term and Tn-1 is the previous term

What the function is saying is that to get the term before the present term, we add 3 to the present term

Answer:

the last one -) -7

Step-by-step explanation:

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The angular speed of the bicycle's wheels that are traveling at 25 mi/h is 1885.7 rad/min

To solve this angular speed problem the formula and the procedure we will use is:

v = w * r

Where:

Information about the problem:

Calculating the radius of the wheel, we have:

r = d/2

r = 28 inch/2

r = 14 inch

Converting the velocity unit from mi/h to inch/min, we get:

25 mi/h * (63360 inch / 1 mi) * (1h / 60 min) = 26400 inch/min

Applying the tangential velocity formula and isolating the angular velocity, we get:

v = w * r

w = v / r

w = 26400 inch/min / 14 inch

w = 1885.7 rad/min

When an object is in uniform circular motion, the angle described by the radius in each unit of time is known as angular speed. It is measured in units of (rad/s) (revolutions/s).

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Answer:

X = - 25/18 the answer is that

Answer:

x < -1[tex]\frac{7}{18}[/tex]

Step-by-step explanation:

18x < -25

Divide both sides by 18.

x < -25 ÷ 18

Evaluate.

x < -1[tex]\frac{7}{18}[/tex]

Answer:

.84 x 10 ^4

Step-by-step explanation:

hope this helps!!!

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Answer:

8.4 x 10'5

Step-by-step explanation:

move the decimal point to make a number between 1 and 9.9. so 8.4. count how many times the decimal point moves. that's the power of 10

The constant of Proportionality of wins to loses is 12.

Given, The total no. of games won by team is 84 and the team loses 6 games in the season.

When two or more parameters are directly or indirectly proportional to one another, their relationship is expressed as a = kb or a = k/b, where k indicates how the two variables are related. This k is known as the proportionality constant.

So, let a = Total no. of games won by team

and b = no. of games lost by team

So, proportionality constant (k) = Total no. of games won by team(a)  / no. of games lost by team(b)

k = 84/6

k = 12.

Hence, the proportionality constant is 12.

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