For which function is the following always true?

Answer:

7.3 in

Step-by-step explanation:

area = 27 = 54/2 = (x^2)/2

so what squared is 54?

7.34 whatever inches.

round it down, that's 7.3.

Answer: 7.3 in

Step-by-step explanation:

To find the the value of x, we will simply use the formula of area of a triangle, substitute the values and then solve.

From the diagram above, the height of the triangle is x and also the base of the triangle is also x, the area of the triangle is  27 sq. in

Area of a triangle =  [tex]\frac{1}{2}[/tex]  base × height

              27             =  [tex]\frac{1}{2}[/tex]   ×   x ×  x

              27               = [tex]\frac{1}{2}[/tex]   ×       x²

                27              =    [tex]\frac{x^{2} }{2}[/tex]

          cross  multiply

                    2   ×  27   =  x²

                        54    =    x²

Take the square roots of both-side

                    √54       =       √x²

                      7.3        =         x

                       x         =       7.3

Therefore the value of x is 7.3 in.

Answer:-

0

Step-by-step explanation:

h(x) = x^2 + 2x -3

x = 2

h(2) = 2^2 + 2(2) - 3

h(2) = 4 + 4 - 3

h(2) = 8-3

h(2) = 5

x = - 4

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

h(-4) = 16 - 8 - 3

h(-4) = 16 - 11

h(-4) = 5

========

h(2) - h(-4)

5 - 5

0

Answer:

Step-by-step explanation:

Let the inexperienced crew do the apartment in x hours.

Therefore it takes the experienced crew x/2 = 0.5x hours to do the same place.

x + 0.5x = 4 hours

1.5x = 4 hours

x  =  4/1.5

x = 2.67 hours.

So the inexperienced crew does the job in 2.67 hours.

The experienced crew can do it 1/2 the time which is 1.335

Total time = 4 hours.

Answer:

4 hours

Step-by-step explanation:

I got it correct so...

Answer:

One hundred and twenty three million six hundred and eight thousand nine hundred and two point nine hundred and four. Hope this helps you!

The rule for division by a fraction is "change to multiplication by the reciprocal."

So you want(4/3)(12) which is 4(4) = 16

[tex]\bf 12\div \cfrac{3}{4}\implies \cfrac{12}{1}\div\cfrac{3}{4}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\cdot \cfrac{4}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 16[/tex]

Answer:

[tex]4\dfrac{2}{7}[/tex]

Step-by-step explanation:

How to calculate the mean absolute deviation:

Step 1: Calculate the mean.

[tex]\text{Mean}=\dfrac{49+55+52+46+47+42+38}{7}=47[/tex]

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

[tex]\begin{array}{ccccccc}\text{Sun}&\text{Mon}&\text{Tue}&\text{Wed}&\text{Thu}&\text{Fri}&\text{Sat}\\49&55&52&46&47&42&38\\2&8&5&1&0&5&9\end{array}[/tex]

Step 3: Add those deviations together.

[tex]\sum|\text{mean}-x_i|=2+8+4+1+0+5+9=30[/tex]

Step 4: Divide the sum by the number of data points.

[tex]\text{MAD}=\dfrac{\sum|\text{mean}-x_i|}{n}=\dfrac{30}{7}=4\dfrac{2}{7}[/tex]

Answer:

4 2/7

Step-by-step explanation:

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

36

+57

------

93

On a number line: Start at 0. Count forward until you reach 36. Once you've reached 36, Mark it. Then you go forward 57, from the mark you made at 36. You should end up on 93 on the number line.

Answer:

Crayola crayons for 6.97 dollars

Step-by-step explanation:

This is because there would only by 78 crayons in the other crayola box. I know this because you divide 120 by  1.53

Probs wrong but I tried

Answer:

6.97 for 120

Step-by-step explanation:

if you divide the number of crayons in the package by the amount of money you pay for it, they it shows you how many crayons you will get for one dollar. for the 120 for 6.97 its 17 crayons for a dollar and for the 24 for 1.53 its 12 for a dollar

Answer:  see table

Step-by-step explanation:

The number of weeks are multiples of 2 (every 2 weeks) and the number of paintings are multiples of 7 (7 paintings every 2 weeks).

[tex]\begin{array}{c|c}\underline{\text{Week}}&\underline{\text{Paintings}}\\2&7\\4&14\\6&21\\8&28\\10&35\\12&42\\14&49\\16&56\\18&63\\20&70\end{array}[/tex]

Hello!

2X  + 4 = 14

X = 5

2 * 5 = 10

10 + 4 = 14

I hope this helps, and have a nice day!

In order to get the answer to this question you will have to subtract four on both sides then divide ten by two to get your answer.

[tex]2x+4=14[/tex]

[tex]-4 -4[/tex]

[tex]14-4=10[/tex]

[tex]2x=10[/tex]

[tex]10\div2=5[/tex]

[tex]x=5[/tex]

Therefore the answer is "x=5."

Hope this helps

y^3 = y * y * y

y^6 = y * y * y * y * y * y

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{25}{30} = .83[/tex]

set it up in an old-fashioned way

using the division method. 30 on the outside and 25 on the inside

Answer:

The answer is 0.833333333 but, to nearest hundredth place is it 0.83.

Step-by-step explanation:

I don't know how they call it in your school but, what we are going to do right now is called long division.

The mass would be the dividend (25)  and the volume (30) would be the divisor and the density would be the quotient.

Answer:

The distance between R and R' is 3 units ⇒ 1st answer

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same

shape as the original, but in a different size.

If the image is larger than the original figure then dilation is called an

enlargement.

If the image is smaller than the original figure then the dilation

is called a reduction.

The image of a line by dilation parallel to the original line if the original

line not passes through the center of dilation.

Line segment QR is dilated to create line segment Q'R'

∴ QR is parallel to Q'R'

The factor of dilation is 1.5

∴ The length of Q'R' is 1.5 the length of QR

In Δs TRQ and TR'Q'

∵ QR // Q'R'

∴ m∠TRQ = m∠TR'Q'

∴ m∠TQR = m∠TQ'R'

∵ ∠T is common in the two triangles

∴ ΔTRQ is similar to ΔTR'Q'

∴ [tex]\frac{TR'}{TR}=\frac{R'Q'}{RQ}[/tex]

∵ [tex]\frac{Q'R'}{QR}=1.5[/tex]

∵ TR' = TR + y

∵ Tr = 6 units

∴ TR' = 6 + y units

∵ [tex]\frac{TR'}{TR}=\frac{6+y}{6}[/tex]

∴ [tex]1.5=\frac{6+y}{6}[/tex]

Multiply both sides by 6

∴ 9 = 6 + y

Subtract 6 from both sides

∴ 3 = y

* The distance between R and R' is 3 units

Answer:

3 Units on edge

Step-by-step explanation:

Answer:

the length of CD is 4

the length of DE is 2

the ratio of CD to DE is 2:1

Step-by-step explanation:

The length of segment CD is 4 units and segment DE is 2 units. The ratio of CD to DE is 2:1.

To solve this problem, remember that points on a number line correspond to numbers and the lengths between the points correspond to the differences between these numbers.

The segment CD stretches from 0 to 4, hence the length of CD is 4 units.

The segment DE stretches from 2 to 0, hence the length of DE is 2 units.

However, since length cannot be negative, we take the absolute value of -2, which gives DE = 2 units.

Now, to find the ratio of CD to DE, we simply divide the length of CD by the length of DE.

The ratio of CD to DE can be found by dividing the length of CD by the length of DE. So, the ratio is 4/2 = 2.

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Answer:

a. The ordered pair is (2 , 18)

b. The number of people jogging in year 2002 was 18 millions

c. There will be 39 millions joggers in year 2023

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation y = x + 16 represents the number of people jogging

   in millions from year 2000 to 2009 where y is the number of people

   and x is the number of years after 2000

- That means at year 2000 the value of x = 0 and the number of people

   jogging was 16 millions

- The equation represented graphically by line

a.

- The ordered pair (2 , ?) means x = 2 and we need to find y when x = 2

- Substitute x by 2 in the equation

∵ y = x + 16

∵ x = 2

∴ y = 2 + 16 = 18

* The ordered pair is (2 , 18)

b.

∵ y represents the number of people jogging in millions

∵ x represents the number of years from year 2000

- That means the number of people jogging in year 2002 was 18

  millions

* The meaning of the answer of part (a) is :

  The number of people jogging in year 2002 was 18 millions

c.

-  If this trend​ continues means the equation will be the same for years

   after 2009

∵ In year 2023 ⇒ x = 23

∵ y = x + 16

∴ y = 23 + 16 = 39

* There will be 39 millions joggers in year 2023

Answer:

  (b)  3 hours

Step-by-step explanation:

You want the amount of time Tiffany can rent a canoe if her charges are $7, calculated as $2.50 + 1.50 per hour.

An equation for the time Tiffany can rent is ...

  cost = fixed charge + hourly charge × hours

  7 = 2.50 + 1.50 × hours . . . . . . use the given numbers

  4.50 = 1.50 × hours . . . . . . . . . subtract 2.50

  3 = hours . . . . . . . . . . . . . divide by 1.50

Tiffany can use the boat for 3 hours if she can pay $7 for rental.

Answer:

x= 8 2/3

Step-by-step explanation:

subtract 1/3 from both sides. 9-1/3 is 8 and 2/3.

A parallelogram has 2 sets of parallel sides. However, a trapezoid only has 1 set.

Answer:

False

Step-by-step explanation:

Let us start with the most obvious one:

27 - z = 7

-27 - 27

_________

-z = -20

z = 20 [Plug this back into the other two equations to get the y-coordinate and x-coordinate of 4½ and -9½]; 4½ = y; -9½ = x

So, the solution is [-9½, 4½, 20].

I am joyous to assist you anytime.

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

Answer:

the desired equation is y = -2x + 8.

Step-by-step explanation:

Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line:  m = -2.

Recall that at an x-intercept, y = 0.  Here we're told that the x-intercept is (4, 0).  Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.

Then the desired equation is y = -2x + 8.

Answer:

15.839 rounded to the nearest tenth is 15.8. This is because when we round it to the nearest hundredth it becomes 15.84 and then to the tenth it becomes 15.8, since 4 is less than 5.

Answer:

15.839 redondeado a la décima más cercana es 15.8.

Step-by-step explanation:

Esto se debe a que cuando lo redondeamos a la centésima más cercana se convierte en 15.84 y luego a la décima se convierte en 15.8, ya que 4 es menor que 5.

The sale price of an item with a 33% discount is calculated by subtracting 33% of the list price from the list price itself. The equation for such a calculation is Sale Price = L - (33/100)*L.

The question is dealing with the calculation of a discount on an item's list price. When an item has a list price 'L' and the discount rate is 33%, you would calculate the sale price by subtracting 33% of the list price (L) from the list price itself. It is given by the equation Sale Price = L - (33/100)*L. This calculation will give you the final price that needs to be paid for the item after the application of the discount.

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Answer:

Step-by-step explanation:

Givens

y2 = y/x

y1 = 1

x2 = 1/y

x1 = 1/x

Formula

m = (y2 - y1) / (x2 - x1)

Solution

m = (y/x - 1) / (1/y - 1/x)

m = ( (y - x)/x ) / ((x - y)/xy)

m = (-(x - y) / x) / ( (x - y) / xy)

Invert the denominator and multiply

m = ( - (x - y) / x ) * x*y / (x - y)      Notice x - y cancels.

m = ( - 1 / x ) * (x*y)                        Notice the xs will cancel.

m = ( - 1 / y)                                   There are no xs anywhere. The slope is - 1/y

Answer: Hello there!

If you have the set of points (x1, y1) and (x2, y2), the slope of the segment whit this endpoints is:

[tex]a = \frac{y2 - y1}{x2 - x1}[/tex]

Now, we have the endpoints (1/x, 1) and (1/y, y/x), the slope of this segment is:

[tex]a = \frac{y/x - 1}{1/y - 1/x}[/tex]

Let's simplify it:

[tex]\frac{y/x - 1}{1/y - 1/x} = \frac{(y-x)/x}{(x - y)/x*y} = \frac{\frac{y-x}{x} }{\frac{-(y-x)}{y*x} }= y*\frac{\frac{y-x}{x} }{\frac{-(y-x)}{x} }  = y*(-1) = -y[/tex]

Then the slope of the segment is a = -y, and it does not depend of x

Answer:

-5.89

Step-by-step explanation:

we have that

The expression of the negative square root of 34.68 is equal to

[tex]-\sqrt{34.68}[/tex]

Using a calculator evaluate the expression

[tex]-\sqrt{34.68}=-5.89[/tex]

To find the population 8 years ago, we can set up an equation and solve for the original population. The population 8 years ago was approximately 37,000 people.

To find the population 8 years ago, we need to calculate the original population before the 35% increase. Let's assume the population 8 years ago was P.

Since the population has increased by 35% over the last 8 years, we can set up the equation: P + 0.35P = 50100

Simplifying the equation, we have: 1.35P = 50100

Divide both sides of the equation by 1.35 to solve for P: P ≈ 37000

Therefore, the population 8 years ago was approximately 37,000 people.

Answer:

Step-by-step explanation:

It appears i cant answer your question but what i can do is provide this paragraph as a trade for points. Appreciate your help. :)