Suppose that you use a pair of chopsticks
and apply a force of 1 are
N over a distance of 0.01 m. How much
work do you do? If the output force of the
chopsticks is only 0.5 N, how far do the tips
of the chopsticks move?

Answer:

5

Step-by-step explanation:

The straight line distance between the two friends is 12 meters.

Given, On a school playground, a math teacher draws a number line with values from -10 to 10.

Also, the distance between each consecutive number is 1 meter.

Now,  Rebecca is standing at +4, and her friend Cedric is standing at -8.

We have to find the straight-line distance between the two friends, in meters.

As, the distance of Rebecca from the origin is 4 m and the distance of Cedric from the origin is 8 m.

Therefore, the distance between Rebecca and Cedric is 4 + 8 i.e. 12 m

Hence, the straight line distance between the two friends is 12 meters.

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Answer:

Perimeter is the sum of length of the sides used to made the given figure. The length of each side of the yield sign is 78 centimeters.

Step-by-step explanation:

1.2113 ft/s is the speed at which the radius of the sphere is changing when the radius is 6 feet .

Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. It outlines the principles of calculation and discusses all the essential equations and properties of various geometric shapes and figures.

Mensuration is a subject of geometry. Mensuration deals with the size, region, and density of different forms both 2D and 3D. Now, in the introduction to Mensuration, let’s think about 2D and 3D forms and the distinction between them.

The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...

 A = 4πr² = 4π(6 ft)² = 144π ft²

Then the relationship above is ...

dV/dt = A·dr/dt

548 ft³/s = (144π ft²)·dr/dt

dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s

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Answer: We on da same question i do not know

Step-by-step explanation:

You did not post enough information.

Answer:

53

Step-by-step explanation:

if x is 13, you would simply do the following:

multiply 5 by 13 which is 65.

then subtract 65 by 12 which is your final answer, 53!

Answer:

x=80 degrees

Step-by-step explanation:

all 3 angles of a triangles equals 180

We add the 2 angles 70+30=100

Now we subtract from 180

180-100=80

x=80 degrees

Hopes this helps please mark brainliest

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient.

The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient. The height between the center line and the peak is known as the amplitude (or to the trough). Alternatively, we might multiply the height from highest to lowest places by 2. The Phase Shift is the horizontal displacement of the function from its initial point.

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Answer:

56

Step-by-step explanation:

5.37 divided by 3 equal to 1.79

The calculation can be done simply by calculator however to so it manually the decimal is converted to fraction

converting to fraction

5.37 = 537 / 100

dividing by three

= 537/100 / 3

= 537/100 * 1/3

= 537/300

= 1.79

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Answer:

The answer to your problem is 540

Step-by-step explanation:

The answer is 180 because all triangles have 3 sides and a pentagon is 3 triangles formed as one so you need to do 180 x 3 which is 540

The answer of the inequality is [tex]-3 < k < -\frac{1}{3}[/tex]

What does algebraic inequality mean?

An inequality in maths shows the relationship between the two values in an uneven algebraic expression. A sign of inequality can be employed to indicate that one of the two variables is less than, greater than or equal to, less than, or equal to another value.

Given That:
-16<6k+2<0
Now to solve this equation we will subtract 2 from all the side
-16-2<6k<-2
now we will divide by 6 on all the side
-18/6<k<-2/6
[tex]-3 < k < -\frac{1}{3}[/tex]
Hence this the answer to the question

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Answer:

The equation of the circle is (x-2)^2+(y-1)^2=13

Step-by-step explanation:

The amount of money (principal)  that Hsu-Mel would need to invest in an account now with 7.4% APR, compounded daily, in order to reach her goal in 3 years is $7206.24.

Mathematically, compound interest can be calculated by using this formula:

A(t) = P(1 + r/n)^{nt}

Where:

Note: The annual percentage interest (APR) rate would be divided by 365 since it is compounded daily.

Substituting the given parameters into the formula, we have;

9,000 = P(1 + 0.074/265)^{365 × 3}

9,000 = P(1.00023)^{1095}

9,000 = P(1.2489)

Principal, P = 9000/1.2489

Principal, P = $7206.24.

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The correct compound inequality to the amount of money Wren can spend with a monthly budget for housing between 25% and 35% will be:

224.0< h< 313.60

Given that:

wren own an average weekly net pay $ 896.00

and, Wren can spend with a monthly budget for housing between 25% and 35%.

Now, Spend money for housing by 25% = 25% of $896.00

= 25÷100 × 896

= 0.25 ×896

= $ 224.00

Again, spend money for housing by

35%=  35% of 896                                                            

=35÷100 × 896

= 0.35 × 896

= $ 313.60

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30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute.

Rectangle's area is equal to its length times its width.

Given,

A rectangle has a 10 cm side.

Consequently, 30 is the area of the rectangle that changes at the instant when the other side is 12 cm and growing at a rate of 3 cm per minute.

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The amount of pure acid present in 780 milliliters of a 18% solution is 140.4 milliliter .

In the question ,

it is given that

the amount of solution = 780 milliliter

we need to find the amount of pure acid in the solution .

amount of pure acid in the solution can be calculated using the formula ,

amount of pure acid = 18% of 780 milliliter

the term of represents, multiplication ,

So , the amount of pure acid = 18% × 780

= 0.18 × 780

= 140.4 milliliter

Therefore , The amount of pure acid present in 780 milliliters of a 18% solution is 140.4 milliliter .

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True, we can compare a model before using a transformation on x or y to a mode before using a transformation by using the corresponding values of the sum of squares error SSE.

      For example, to compare two models, one of which has a transformation on the outcome of the variable, that is:

First model[tex]y=x+z[/tex]

Second model:[tex]y^{1/k} =x+z[/tex]

The best logical approach might be to look at the comparative performance obviously with predicted transformed values back-transformed and then look at the models sum of squares error of these predictions. It has to be random predictions and comparisons because the error distributions are also transformed.

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97.5% of American women have shoe sized less than 11.19 according to standard deviation of 1.49 .

What is standard deviation?

It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

Main Body:

Here, we want to use the empirical rule to find the percentage of women with shoe sizes less than 11.19

The first thing we shall do here is to find the z-score

Mathematically, that will be calculated using the formula;

z = (x-mean)/SD

z = (11.19-8.21)/1.49

z = 2

We can see that the given value is 2 standard deviation away to the right of mean

So, we want to get the percentage that is between the mean and two standard deviations away from it using the empirical rule

So according to the empirical rule

The percentage will be

= 100-2.35-0.15

= 100-2.5 = 97.5%

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Answer:

72.6%

Step-by-step explanation:

Percentages are simple

(Number given / Total given ) × 100 = ?%

(363 / 550 ) × 100 =

0.726 × 100 = 72.6

This should be our final answer of 72.6%

Hope this helped and have a good day

Nadia made $975 last week and $50, 700 in 2011.

The amount earned last week = Percentage of comission × earnings

The amount earned last week = 13% × 7500

The amount earned last week = 13 × 75

Performing multiplication on Right Hand Side of the equation

The amount earned last week = $975

As per the known fact, 1 year has 52 weeks. So, the commission earned in 2011 = 52 × 975

Performing multiplication on Right Hand Side of the equation

The commission earned in 2011 = $50, 700

Thus, the amount earned last week is $975 and comission earned in 2011 is $50, 700.

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When x = -0.5, the value of y is -0.33. When y varies directly with respect to x, the equation y = kx is used. where k is the constant of proportionality

Therefore,

When X equals 3, Y equals 2.

We solve for k by plugging in 3 for x and 2 for y.

y = kx \s 2 = k(3) (3)

Subtract 3 from both sides.

2/3 = k

Now we plug in 2/3 for k

y = 2/3 x

Given x = -0.5  simplifying we get,

y = 2/3 (-0.5)

y = -0.33

Hence, the value of y is -0.33 when x = -0.5

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Rearranging [1/3, 0.3, 33%, 8/25, 33.6%] in the ascending order of magnitude, we get, [33.6%, (1/3), 33%, (8/25), 0.3].

As per the question statement, we are provided with a set of values       [1/3, 0.3, 33%, 8/25, 33.6%],

And we are required to rearrange the above mentioned set in the ascending order of magnitude.

To answer this question, we will have to convert all the values into fractions with a common denominator, and then arrange the fractions in an ascending order of magnitude of their numerators to obtain our desired answer, that is,

[(1/3) = 0.33333333...]

[(0.3) = (3/10) = (30/100)],

[(33%) = (33/100) = 0.330],

[(8/25) = (32/100) = 0.320]

And, [33.6% = (33.6/100) = 0.336]

Since (0.336 > 0.333 > 0.330 > 0.320 > 0.300),

Therefore, rearranging [1/3, 0.3, 33%, 8/25, 33.6%] in the ascending order of magnitude, we get, [33.6%, (1/3), 33%, (8/25), 0.3]

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Answer:

$27.00

Step-by-step explanation:

8 : 20 = 10.80 : x

x = 20 * 10.80 / 8

x = 5 * 10.80 / 2

x = 5 * 5.40

x = $27.00

The simplified form of the expression ( -4 + 9i )² such that it takes the form a + bi is; -65 - 72i.

It follows from the task content that the simplified form of the expression is to be determined.

Hence, since the given expression is; ( -4 + 9i )², we have;

( -4 + 9i ) ( -4 + 9i )

= 16 -36i - 36i + 81i²

However, recall that the i² = -1 which follows from the fact that i = √-1.

On this note, the expression can be written as;

= 16 - 72i + 81 (-1)

= 16 - 72i - 81

= -65 - 72i.

Hence, the required simplified form of the expression is; -65 - 72i.

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Answer:

f(5) = 3(5+2) - 8

f(5) = 15+6 -8

f(5) = 21 - 8

f(5) = 13

Answer:

See below

Step-by-step explanation:

By "gradient of the given line" the question is asking to find the slope of the line.  If we rearrange each equation inrto slope-intercept format of y = mx + b, we can find the slope easily, since m is the slope (b is the y-intercept).

y = 4x + 3

 The slope is 4.

y= -8x + 6

  The slope is -8

4y = 8x +3

y = 2x + (3/4)   Rearrange to y = mx + b

  The slope is 2

y+x=8

y = -1x + 8       Rearrange

    The slope is -1

y -x = 5

      y = x + 5   Rearrange

      The slope is 1

4y + 5x = 30

       y = -(5/4)x + (30/4)

       The slope is -(5/4)

By evaluating the exponential equation we will see that:

a) On 2001 the population is 150.38 thousands.

b) on 2018 the population is 409.13 thousands.

We know that the population (in thousands) x years after 1998 is given by the exponential equation:

y = 123.1*(1.069)^x

a) We want to find the population in 2001, this is 3 years after 1998, so x = 3, replacing that we will get:

y = 123.1*(1.069)^3 = 150.38

So the population on 2001 will be 150.38 thousands.

b) If the equation still works for 2018, then we can use x = 20 (2018 is 20 years after 1998) then the population will be:

y = 123.1*(1.069)^18 = 409.13

So the population is 409.13 thousands.

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The triangles are congruent using a two-column proof and triangle congruency theorems. For that please refer to the image also and reasons are mention below.
Math congruent meaning?

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical.

Since the statements are already presented in your figure, only the reasons need be stated here.

1)Given

2)Given

1)Given

4)Congruent line segment definition5)

5)symmetry as a congruence trait

6) Addition and substitution aspects of equality

7)Segment addition theorem

8)Congruent line segment definition

9)Congruence postulate for AAS

According to the property of addition, if A=B, then A+C=B+C. According to the substitution property, if C=D, then A+C=B+D. (D can be substituted for C). I believe that in order to move from A=B and C=D to A+B=C+D, both qualities must be present.

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