Suppose that Mars rotates on its axis once every hours. The equator lies on a circle with a diameter of miles.
(a) Find the angular speed of a point on its equator in radians per day ( hours).
(b) Find the linear speed of a point on the equator in miles per day.

Do not round any intermediate computations, and round your answer to the nearest whole number.

Answer:

I would want to say 11.6

Step-by-step explanation:

I divide 29 by 2.5= 11.6.

Answer:

rabbit predators >:)

Step-by-step explanation:

When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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The composite function f(g(x)) is (∛(x) - 1)^3 + 1

From the question, we have the following parameters that can be used in our computation:

f(x) = x^3 +1 and g(x) = ∛(x) - 1

To calculate f(g(x)), we make use of the following representation

f(g(x)) = g(x)^3 +1

Substitute the known values in the above equation, so, we have the following representation

f(g(x)) = (∛(x) - 1)^3 + 1

Hence, the composite function is f(g(x)) = (∛(x) - 1)^3 + 1

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Answer:

59 more people

Step-by-step explanation:

10% of 585 is 58.5. If you round, that's 59

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

Q1 = 1/4(n+1)th term

Q1 = 8000

Q3 = 3/4 (n+1)th term

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166

Answer:

so let's start

Step-by-step explanation:

\(total \: sales = 412454 \\ 7\% = \frac{7}{100} \\ = 0.07 \\ 0.07 \: is \: rate \: of \: commision \: on \: total \: sales \\ 0.07 \times 412454 = 28871.78 \: dollars \\ but \: 5\% \: is \: given \: as \: percentage \: of \: the \: amount \: from \: 7\% \: commission \\ 5\% = \frac{5 }{100} \\ = 0.05 \\ 0.05 \times 28871.78 = 1443.589 \: dollars \: \\ total \: income \: = 28871.78 + 1443.586 \\ = 30.315.369 \: dollars \\ \\ thanks\)

Answer:

AREA: 49.2 miles

PERIMETER: 49.2

Step-by-step explanation:

in finding the area, multiply by 4 the same because it has the same sizes, A=s⁴ or Side x side x side x side

In finding the Perimeter

you need to add 12.3 miles to four sizes or same sizes

P= 12.3 + 12.3 + 12.3 + 12.3

Answer:

x= 96

Step-by-step explanation:

an triangles angles always add up to 180 so 44+40 equals 84 and 180-84= 96.

The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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With given percentages of taxes on income, Alex and Tory owe $18,882 in federal taxes.

what exactly is a percentage?

A percentage is a way of representing a number as a fraction of 100. It is often denoted by "%". For example, 50% means 50 out of 100, or 0.5 as a decimal. Percentages are commonly used to express rates, ratios, and proportions in many areas such as finance, statistics, and everyday life.

Now,

Since the couple is married and filing jointly, their standard deduction is $25,900. Thus, their taxable income is $150,000 - $25,900 = $124,100.

From the tax table, the tax on the first $19,750 is 10% and the tax on the next $60,500 ($80,250 - $19,750) is 12%. The remaining taxable income is $124,100 - $80,250 = $43,850, which falls into the 22% tax bracket.

Therefore, the tax owed on the first $19,750 is $1,975 (10% of $19,750), the tax owed on the next $60,500 is $7,260 ($1,975 plus 12% of $60,500 - $19,750), and the tax owed on the remaining $43,850 is $9,647 (22% of $43,850).

The total tax owed is the sum of these amounts: $1,975 + $7,260 + $9,647 = $18,882. Therefore, Alex and Tory owe $18,882 in federal taxes.

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The volume of the cylindrical water cooler is 211.38 gallons. Therefore, option C is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall.

Now, radius = 3/2 =1.5 feet

We know that, the formula to find the volume of a cylinder is πr²h.

Here, 3.14×1.5²×4

= 28.26 cubic feet

In gallons = 28.26×7.48

= 211.38 gallons

Therefore, option C is the correct answer.

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The correct option is C, 211.38. Hope this helps :)

Answer: b=13, t=29

Step-by-step explanation:

Substituting the first equation into the second,

\(2b+2+b=41\\\\3b+2=41\\\\3b=39\\\\b=13\\\\\implies t=2(13)+2=29\)

Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

Answer:

112

Step-by-step explanation:

4 dogs times 2 cups = 8 cups. 8 cups times 12 days = 96 cups in bag. 96 plus two days worth (16) = 112

Hope this helps!

p.s. you could just do 8 times 14, but that's not as fun. ;)

Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

Answer:41

Step-by-step explanation:

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer: Five times a number minus seven equals eleven.

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

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The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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Answer:

2.4 hours to run 12 miles.

Step-by-step explanation:

\(\frac{7.5}{1.5} = \frac{12}{t} = 2.4\)

the proportion is 5:1

for every hour, jose runs 5 miles

Answer:

From a starting location of 75 feet below sea level, the submarine is descending 50 feet per hour. Answer is.D

Step-by-step explanation:

Used an Calculator  

I hope this helps

Answer:

D

Step-by-step explanation:

the reason why it's D, is because i did the test bro and it had a green check which means it's right.

your welcome.

Answer:

Let's call the number of cubic yards of mix A that the farmer buys "x", and the number of cubic yards of mix B that the farmer buys "y".

We can write the following constraints based on the minimum monthly requirements:

20x + 10y >= 460 (for acid)

30x + 30y >= 939 (for nitrogen)

5x + 10y >= 200 (for potash)

We also want to minimize the cost, which is given by 25x + 49y.

This is a linear programming problem, which can be solved using simplex method or the graphical method.

By using the graphical method, we find that the optimal solution occurs at x = 11.75 and y = 4.5. This means that the farmer should buy 11.75 cubic yards of mix A and 4.5 cubic yards of mix B to meet the minimum monthly requirements at a minimum cost.

So, the answer to the question is: If mix A costs $25 per cubic yard and mix B costs $40 per cubic yard, the farmer should blend 11.75 yd of mix A & 4.5 yd of mix B to meet the minimum monthly requirements at a minimum cost.

Answer:

-256

Step-by-step explanation:

8/5 x 5/8x=8/5 (-160)

1/5 x 5x= 8/5 x (-160)

x= -8 x 32

x= -256

Answer:

X =1/256

Step-by-step explanation:

-5/8x = - 160

-5/-160 =8x

1/32 = 8x

X = 1 /256