Your weight on the Moon is about 1/6 of your weight on Earth. Write and solve an equation to show how much a person weighs on Earth if he weighs 16 pounds on the moon. How could you check that your answer is reasonable??

Answer:

8:17

Step-by-step explanation:

The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective

A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees

From the triangle, Using the trigonometric ratio of sine

Sin C = opposite/Hypothenuse

Sin30 = 5/H

Making h the subject of the relation we have

h= 5/sin30

h=5/0.5

Therefore the value of h=10 units

To find the third side use Pythagoras theorem

10² = 5²+p²

100-25 = p²

75 = p²

Taking the square of both sides

p=√75

p=8.7 units

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The angle formed by the two hands have a measure less than 1/4 turn

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

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

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Answer:

Net for the prism will have 3 rectangles with dimensions 5 by 15, 12 by 15 , and 13 by 15, and 2 triangles with legs 5 inches and 12 inches.

The correct net is net a.

Surface area = sum of areas of the three rectangles and sum of the two triangles.

SA = (5 x 15) + (12 x 15) + (13 x 15) + (5 x 12) = 75 + 180 + 195 + 60 = 510 square inches.

Step-by-step explanation:

Hope this helped

Answer:

Okay. Somebody used as most to do this question because of the complexity of it, it gets a little time consuming to do it by hand. We have a committee. We need six people from a 22 of them were gonna be our president or vice president. And so because we're naming those thoughts, the order is important there. So the first thing I'm gonna do is find that that's gonna be 20 juice to row. Other four members are just coming from the remaining students.

So times this time is going to be the combination of the remaining 18 students of which I'm choosing for from. And so my answer is going to be 1,162,800 possible ways.

Answer:

Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.

Step-by-step explanation:

Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.

Answer:

6

Step-by-step explanation:

The way you wrote it, it is already rounded.....

The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".

pi--rounded off in decreasing precision:

3.14159

3.1416

3.142

3.14

3.1

3

Watch out for a trap in rounding:

Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.

Answer:

$200

Step-by-step explanation:

1/5 of 500 is 100 because 5 100s equal 500. so 3 years is 300. 500-300=200

Answer:

NM = 20

Step-by-step explanation:

Since the triangles are similar, the lengths can be set up in proportions.

So ,

= 6/8 = 15/x

6x = 120

x = 20

NM = 20

Answer:

C

Step-by-step explanation:

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression.

The nearest decimal which is the approximate value of x is 18°..

The two slanting lines given in the diagram are parallel.

Furthermore, the horizontal line crosses both parallel lines given above.

Then the measure of the angles marked in the question is equal.

Therefore, we have 5x + 7° = 9x - 63°.

⇒ 63° + 7° = 9x - 5x

⇒ 70° = 4x

⇒ x = 70°÷ 4 = 17.5° ≈ 18°(approximate to the nearest decimal)

Therefore, x = 18°

Let us now compute the magnitude of each angle.

5x + 7 = 5 × 18 + 7 = 90 + 7 = 97

9x - 63 = 9 × 18 - 63 = 162 - 63 = 99

The measurement of these two angles differs by two degrees.. Because the value of x is not exact. We used the approximated value.

Let us recalculate the angle measurements using the exact value 17.5.

5x + 7 = 5 × 17.5 + 7 = 87.5 + 7 = 94.5

9x - 63 = 9 × 17.5 - 63 = 157.5 - 63 = 94.5

So, the exact value of x is 17.5°.

Hence, The nearly value of x to the nearest decimal is 18°.

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Answer:

13.8h-2.3hk

Step-by-step explanation:

This question is of a topic called subset that is a part of set theory.

statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.

I assume the questioner has the basic understanding of set theory and what subsets are.

Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.

Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }"  that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set

{11, 13, 15} is not equal to set  { 11, 12, 13, 14, 15, 16, ... }.

statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.

statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.

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Step-by-step explanation:

distance must positive

so, 25-12

=13

Answer:

6.83

Step-by-step explanation:

the three is repeating

Answer:

1 bowling ball

2 box

3 can

4 book

5 pyramid

By using the concept of mathematical expression, it is obtained that

(62−42)×3 is represented by  3 times the difference between 62 and 42

First option is correct

What is mathematical expression?

A mathematical expression consist of numbers connected with addition, subtraction, multiplication and division.

Here the given  mathematical expression is (62−42)×3

Here, the signs shown are subtraction and multiplication. So the concept of difference and times will be used here

(62−42)×3  means whole of (62 - 42) is multiplied with 3

So, this is 3 times the difference between 62 and 42

First option is correct

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Correct Question

Which phrase represents this expression?

(62−42)×3

a) 3 times the difference of 62 and 42

b) 3 times the difference of 42 and 62

c) The difference of 62 and the product of 3 times 42

d) The difference of the product of 3 times 42 and 62

Answer:

\(g(x)=\frac{1}{8} x^{2}\)

Step-by-step explanation:

Expansions and compressions are transformations that change the length or width of the graph of a function. The general form of the graph of a function expands or compresses vertically or horizontally. Expansions and compressions are considered non-rigid transformations.

Vertical compression:

\(y=kf(x)\)

So, if \(f(x)=x^{2}\)  is vertically compressed by a factor of 8. Hence, using the previous information, we can conclude that the equation of \(g(x)\) is:

\(g(x)=\frac{1}{8} x^{2}\)

I attached you the graphs.

Answer:

-37 / 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

Answer:

mean,range,and mode.

I learned this just last Thursday, duh ;)

Step-by-step explanation:

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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Answer:

292

Step-by-step explanation:

Answer:

292

Step-by-step explanation:

12X25=300

300+2=302

302-10=292

PEMDAS

also used calculator

look it up on internet

Using Chebyshev's Theorem, it is found that the interval that contains monthly mortgage payments of at least 75% of all homeowners is [1110, 1530].

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

In this problem:

By the Chebyshev's Theorem, at least 75% of the measures are within 2 standard deviations of the mean, hence:

The interval that contains monthly mortgage payments of at least 75% of all homeowners is [1110, 1530].

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Answer:

what are the choices A,B,C,D

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

y=-5x-3

Step-by-step explanation:

Slope: -5/1 =-5

Y2-Y1/X2-X1=2-7/1-2=-5/1

Y-intercept: -3

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.