compare your answers from parts A and B. What connections can you make between the size and number of squares in part A and the prime factors in part B?

Answer:

  D. The input force is equal to the output force

Step-by-step explanation:

A pulley changes the direction of the applied force, but does not change its magnitude. The mechanical advantage is the ratio of output force to input force, so must be 1 when the force magnitude does not change.

Answer:

7x + 3

Step-by-step explanation:

Differentiate both sides implicitly:

[tex]\dfrac{\mathrm d}{\mathrm dt}[e^y+x^3y^2+\ln x]=\dfrac{\mathrm d[1]}{\mathrm dt}[/tex]

[tex]e^y\dfrac{\mathrm dy}{\mathrm dt}+3x^2y^2\dfrac{\mathrm dx}{\mathrm dt}+2x^3y\dfrac{\mathrm dy}{\mathrm dt}+\dfrac1x\dfrac{\mathrm dx}{\mathrm dt}=0[/tex]

Solve for [tex]\frac{\mathrm dx}{\mathrm dt}[/tex]:

[tex]\left(3x^2y^2+\dfrac1x\right)\dfrac{\mathrm dx}{\mathrm dt}=-(e^y+2x^3y)\dfrac{\mathrm dy}{\mathrm dt}[/tex]

[tex]\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{e^y+2x^3y}{3x^2y^2+\frac1x}\dfrac{\mathrm dy}{\mathrm dt}[/tex]

[tex]\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{xe^y+2x^4y}{3x^3y^2+1}\dfrac{\mathrm dy}{\mathrm dt}[/tex]

Plug in [tex]x=1[/tex], [tex]y=0[/tex], and [tex]\frac{\mathrm dy}{\mathrm dt}=2[/tex]:

[tex]\dfrac{\mathrm dx}{\mathrm dt}=\boxed{-2}[/tex]

Answer:

There are 500 pounds in 2/8 tons.

Step-by-step explanation:

Let's first simplify 2/8. 2/8 is equal to 1/4 since 2 divided by 2 is 1 and 8 divided by 2 is 4. Now we have to divide 2000 by 1/4 which equals to 500 pounds. So there are 500 pounds in 2/8 tons.

Answer:

Step-by-step explanation:

Hello, first of all we can divide by 2.

[tex]7n^2+16n+17=0\\\\\Delta=b^2-4ac= 16^2-4*7*17=-220 < 0 \ \ !![/tex]

The discriminant is negative so there is no real solutions.

Thank you.

Answer:

0.01

Step-by-step explanation:

0.1 x 0.1 = 0.01

HOPE IT HELPS YOU

Answer:

x=9

Step-by-step explanation:

3x+9+5x=81

8x+9=81

   -9 -9

8x=72

x=9

hope this help!

Answer:

The answer is 1 4/7

Step-by-step explanation:

First you will want to take the mixed number and make it unmixed which will make it 11/3 divided by 7/3. Then you do the keep change flip method to divide fraction which makes it 11/3 times 3/7 then you multiply across and get 33/21 which as a mixed number is 1 12/21 but you can simplify it to be 1 4/7.

Answer:

Step-by-step explanation:

We can observe that x coordinate increases on line segment JL from J and y coordinate decreases.

The difference in x:

The difference in y:

Point K is at 3/7 distance from J, so it's coordinates will be:

So K = ( -9, 5)

Answer:

5.44 = y

Step-by-step explanation:

KLM =  KLN + NLK

134 = 47+ 16y

Subtract 47 from each side

134 - 47 = 47+16y - 47

87 = 16y

Divide each side by 16

87/16 = 16y/16

5.4375 = y

Round to two decimal places

5.44 = y

Answer:

8.51%

Step-by-step explanation:

Let us assume the radius of the sphere is r. The surface area of a sphere is:

Surface area = 4πr².

There is a 4% error in the measurement of the radius, therefore the radius being measured = (100% - 4%)r = (96%)r = 0.96r

The surface area as a result of error is:

Surface area after measurement = 4π(0.96r)² = 3.6864πr²

The percentage error is the ratio of the difference between the actual and measured value to the measured value. It is given as:

[tex]Percent\ error =\frac{Actual\ area-Measured\ area}{Measured \ area}*100\%\\ \\Percent\ error =\frac{4\pi r^2-3.6864\pi r^2}{3.6864\pi r^2}*100\%\\ \\Percent\ error =\frac{0.3136\pi r^2}{3.6864\pi r^2}*100\%\\ \\Percent\ error =0.0851*100\%\\\\Percent\ error =8.51\%[/tex]

Answer:

Step-by-step explanation:

The total number of individuals included in this summary is the sum of the counts {119, 179, 239, 299, 359).  That comes to 1195 individuals.

No, the info given here is insufficient to enable identifying the exact values of all the service times.

Answer:

It will be  in the total of 2 subsets.

Step-by-step explanation:

The only subsets of the set containing 5564 is the empty set and the set {5564}.

5564 belongs to the set of real numbers, the set of natural numbers, the set of integers, the set of whole numbers and the set of rational numbers.

Answer:

5564 belongs to the following subsets of real numbers:

real numbers

rational numbers

integers

whole numbers

natural numbers (counting numbers)

----

You can keep on going. You can even say this number belongs to the set of even integers.

Step-by-step explanation:

If you are looking for what subsets of the real numbers that 5564 belong to, then there is a lot of real number subsets to which this number can belong.

This number doesn't have an imaginary part so it's it a number.

We don't have to say it is complex (though it is), because we are looking at subsets of real numbers, not subsets of complex numbers (to which complex numbers are a subset of itself).

So the real numbers are divided into rational versus irrational.

The definition of rational numbers is any number that can be written as a fraction where the top and bottom are integers (of course the bottom integer cannot be 0). -(I will define integers in a second.)

Irrational numbers is any real number that isn't rational.

So since 5564 can be written as 5564/1, then it is rational.

A subset of rational numbers is integers (integers are in consequence also a subset of real numbers since rational numbers are a subset of real numbers).

Integers are numbers you count with, the opposite of those numbers you count with, or 0.

You can count to 5564 so 5564 can be further categorized as real rational integer.

Another subset of real numbers is whole numbers. The whole numbers is just the counting numbers and 0. Again since you count to 5564, then it is a whole number.

The natural numbers (counting numbers) is a subset of real numbers. Again, since 5564 can be counted to, it is a natural number.

Answer:

The question is not complete, below is a complete question with the accompanying diagram:

Instructions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

AB is parallel to CD, and EF is perpendicular to AB

The number of 90° angles formed by the intersections of Ef and the two parallel lines AB and CD is ____

Answer:

The number of 90° angle formed = 8 angles

Step-by-step explanation:

From the question and attached diagram, the following information is given:

AB is parallel to CD

EF is perpendicular to AB

Required: number of 90° angles formed by the intersection of the perpendicular line and the parallel lines.

Note, the angle formed between a line and a perpendicular line = 90°

From the diagram:

Number of 90° angle formed by intersection of perpendicular line EF and line AB = ∠1, ∠2, ∠3 and ∠4 = 4 angles

Number of 90° angle formed by intersection of perpendicular line EF and line  CD = ∠5, ∠6, ∠7 and ∠8 = 4 angles

Total 90° angles formed by perpendicular line with lines = ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 = 8 angles

Answer:

Final amount of customers =30141.44

Step-by-step explanation:

Amount of customer remaining

A= p(1-r/n)^(nt)

P= initial amount of customers

R= rate but it's a negative rate

N= number of times

T= number of years

A= final amount of customers

A= p(1-r/n)^(nt)

A= 51200(1-0.038/14)^(14*14)

A= 51200(1-0.0027)^196

A= 51200(0.9973)^196

A= 51200(0.5887)

A= 30141.44

Speed = distance / time

Speed = 4/3 / 1/10

When dividing fractions flip the second fraction over and multiply:

Speed = 4/3 x 10/1 = (4 x 10)/(3 x1) = 40/3 miles per hour

I'll let h = ax, so the limit is

[tex]\displaystyle\lim_{h\to0}\frac{(x+h)^2-2(x+h)+1-(x^2-2x+1)}h[/tex]

i.e. the derivative of [tex]x^2-2x+1[/tex].

Expand the numerator to see several terms that get eliminated:

[tex](x+h)^2-2(x+h)+1-(x^2-2x+1)=x^2+2xh+h^2-2x-2h+1-x^2+2x-1=2xh+h^2-2h[/tex]

So we have

[tex]\displaystyle\lim_{h\to0}\frac{2xh+h^2-2h}h[/tex]

Since h ≠ 0 (because it is approaching 0 but never actually reaching 0), we can cancel the factor of h in both numerator and denominator, then plug in h = 0:

[tex]\displaystyle\lim_{h\to0}(2x+h-2)=\boxed{2x-2}[/tex]

Answer:

2x-2

Step-by-step explanation:

lim ax goes to 0   ( x+ ax)^2 -2 ( x+ax) +1 - ( x^2 -2x+1)

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

                                                    ax

Simplify the numerator  by foiling the first term and distributing the minus signs

 x^2+ 2ax^2 + a^2 x^2 -2x-2ax +1 -  x^2 +2x-1

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

                   ax

Combine like terms

2ax^2 + a^2 x^2 -2ax  

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

                   ax

Factor out ax

ax( 2x + ax -2)

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

     ax

Cancel ax

2x + ax -2

Now take the limit

lim ax goes to 0  ( 2x + ax -2)

                                  2x +0-2

                                   2x -2

Answer:

Dimensions are 350/9 ft and 17.5 ft

Step-by-step explanation:

We are given the cost per ft of all the 4 sides. Let the horizontal be x and the vertical be y.

Now, we will set up the constraint and equation that we are being asked to maximize.

Thus;

700 = 10y + 10y + 7x + 2x

700 = 20y + 9x

Maiking y the subject, we have;

y = (700 - 9x)/20

y = 35 - 9x/20

Now,area of a rectangle is: A = xy

Thus, A = x(35 - 9x/20))

A = 35x - 9x²/20

We can get the critical points by finding the derivatives and Equating to zero

Thus;

dA/dx = 35 - 0.9x

At dA/dx = 0,we have; x = 350/9

At d²A/dx², we have;

d²A/dx² = -0.9

This is negative, thus we will disregard and use the one gotten from the first derivative.

Thus, we will use x = 350/9 ft

Plugging this into the equation y = 35 - 9x/20, we have;

y = 35 - ((9 × 350/9)/20)

y = 17.5 ft

The dimensions of the field that will maximize the enclosed area are 350/9 ft and 17.5 ft and this can be determined by forming the linear equation.

Given :

Let 'x' be vertical, and 'y' be horizontal. So, the linear equation becomes:

700 = 10y + 10y + 7x + 2x

Simplify the above expression.

700 = 20y + 9x

Now, solve the above equation for 'y'.

[tex]\rm y = \dfrac{700-9x}{20}[/tex]    --- (1)

Now, the formula of the area of the rectangle is:

A = xy

Now, substitute the value of 'y' in the above formula.

[tex]\rm A = x \times \dfrac{700-9x}{20}[/tex]

[tex]\rm A = 35x -\dfrac{9x^2}{20}[/tex]  

Now, differentiate the above equation with respect to 'x' and then equate to 0.

[tex]\rm \dfrac{dA}{dx}=35-0.9x[/tex]

Now, equate the above equation to zero.

35 - 0.9x = 0

x = 350/9

Now, substitute the value of 'x' in equation (1).

[tex]\rm y = \dfrac{700-9\times \dfrac{350}{9}}{20}[/tex]

y = 17.5 ft

For more information, refer to the link given below:

https://brainly.com/question/1631786

Answer:

log(16) + log(14)

Step-by-step explanation:

Answer:

65000

Step-by-step explanation:

Answer:

Remainder

Step-by-step explanation:

Remainder is a number that's left over after division.

For example:

Hope this helps ;) ❤❤❤

Answer:

[tex]\Large \boxed{\mathrm{D) \ remainder}}[/tex]

Step-by-step explanation:

The remainder is the amount left over after performing division.

For example when we divide 7 by 5:

7/5 = 1 and remainder 2. 2 is the amount left after dividing.

Answer:

C. populations are non normal and the sample sizes are large.

Step-by-step explanation:

To test hypotheses about the difference between two populations means we deal with the following three cases.

1) both the populations are normal with known standard deviations.

2)both the populations are normal with unknown standard deviations.

3) both the populations are non normal in which case both the  sample sizes are necessarily large.

So option C is the correct answer.

Answer:

x+(x+4)=52

Step-by-step explanation:

Let's name the smaller number x.

The greater number would then be (x+4).

The sum of two numbers means we are adding them together.

The equation we could then set up would be:

x+(x+4)=52

Now we can solve the equation to find the two numbers if needed.

Here is how:

x+x+4=52

Combine like terms.

2x+4=52

Subtract 4 from both sides.

2x=48

Divide both sides by 2

x=24

The smaller number is 24.

24+4=28

The larger number is 28.

Answer :

Step by Step explanation :

Take the given equation :

⇒2 + x = 6

Now, start solving it

⇒x = 6 - 2

⇒x = 4

Hence, Solution of given equation is 4. And only one solution exists.

Answer:

one

Step-by-step explanation:

the answer is 4 and there is only one solution there

Answer:

Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

  [tex]g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}[/tex]

__

The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

  [tex]h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}[/tex]

A function of its own inverse returns the original value:

  [tex]\boxed{\left(h\circ h^{-1}\right)(-1)=-1}[/tex]

Answer:

  the input (x) values of the relation

Step-by-step explanation:

The domain of a relation is the set of input values. On a graph, it is the horizontal extent of the graph. For a set of ordered pairs, the domain is the set of all first numbers in the pairs.

Answer:

It does not show variation

Step-by-step explanation:

Given

[tex]x = y + 2[/tex]

Required

Determine if there's direct variation between x and y

The general form of direct variation is:

[tex]y = kx[/tex]

Make y the subject of formula in the given parameters;

[tex]x = y + 2[/tex]

[tex]y = x - 2[/tex]

Compare [tex]y = x - 2[/tex] to [tex]y = kx[/tex]

Since they are not of the same form, then the given equation do not show direct variation

Answer:

the answer is 7

Step-by-step explanation:

7+(-3)=4

7-3=4

hence shown so missing number is 7

Answer:

79

Step-by-step explanation:

Σ is a summation symbol. It means you need to add all values of x1 through x5.

19 + 13 + 20 + 10 + 17 = 79

Answer: undefined

Step-by-step explanation:

#1 use the horizontal and vertical line concept

- when the line is horizontal, the slope is 0

- when the line is vertical, the slope is undefined

- Thus, in this case, the line is vertical, the slope is undefined.

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

# use the slope formula

               [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

- the two points are (1, 1) and (1, -4)

 (-4-1)/(1-1)

=-5/0

= undefined (fractions with 0 base is undefined)