find the distance between a point (6,9) and a horizontal line at y=5

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:

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:

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

Answer:

65000

Step-by-step explanation:

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:

The answer is

Step-by-step explanation:

Cross multiply

We have

f(6 + y) = rw

6f + fy = rw

Move 6f to the right side of the equation to make fy stand alone

That's

fy = rw - 6f

Divide both sides by f to isolate y

That's

We have the final answer as

Hope this helps you

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 :

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:

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 7

Step-by-step explanation:

7+(-3)=4

7-3=4

hence shown so missing number is 7

Answer:

$64,800

Step-by-step explanation:

First, we calculate the total she pays all three employees in 1 month.

$2300 + $1700 + $1400 = $5400

Since there are 12 months in 1 year, we multiply the total monthly wages by 12 to find the total yearly wages.

12 * $5400 = $64,800

Answer: $64,800

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:

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:

I think Its 4hrs

Step-by-step explanation:

8400m÷ 35m = 240mins

240mins= 4hrs

Answer:

7x + 3

Step-by-step explanation:

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:

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:

0.01

Step-by-step explanation:

0.1 x 0.1 = 0.01

HOPE IT HELPS YOU

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:

  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:

log(16) + log(14)

Step-by-step explanation:

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:

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.

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

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:

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:

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:

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:

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.