A parking lot is 126.1 m long and 38.06 m wide, what is the perimeter of the lot? Express your answer using four significant figures.

Answer:

[tex]x=\frac{3\left(-y+6\right)}{7}[/tex]

Step-by-step explanation:

[tex]14x+6y-6y=36-6y\\14x=36-6y\\Divide\\\frac{14x}{14}=\frac{36}{14}-\frac{6y}{14}\\\frac{14x}{14}\\\frac{14}{14}= 1\\\frac{36}{14}-\frac{6y}{14}\\\frac{36-6y}{14}\\36-6y\\6\cdot \:6-6y\\=6\left(6-y\right)\\=\frac{6\left(6-y\right)}{14}\\=\frac{3\left(-y+6\right)}{7}[/tex]

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The coordinate points on the line plotted satisfy the equation -

y + 1/3x = 4.

We have the equation of a straight line.

We have to find the coordinates that satisfy this equation.

The general equation of straight line is -

y = mx + c

According to the question -

y + 1/3x=4

y = - (1/3)x + 4

Comparing it with general equation of line, we get -

m = - 1/3  and  c = 4

Now, we will plot the line on graph -

All the coordinate points that are present on this line satisfy the equation of line. The graph extends in both the direction along the x - axis.

Hence, the coordinate points on the line plotted satisfy the equation

y + 1/3x = 4.

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The wavelength  λ , of a photon that has an energy of E = 4.26×10^−19 J is 21504.29 meter.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now, the given equation for photon energy, E , is

E = hcλ

Here, h = 6.626×10^−34 J⋅s (Planck's constant) and

c = 2.99×10^8 m/s (the speed of light)

Therefore, we have

E = hcλ

⇒ λ = E/hc

Put the values of E, h and c we get,

λ = 4.26×10^−19 / (6.626×10^−34*2.99×10^8)

Solving we get,

λ = 4.26×10^−19 / 19.81×10^(−34+8)

⇒ λ = 4.26×10^−19 / 19.81×10^-26

⇒ λ = (4.26/19.81)*10^(-19+26)

⇒ λ = 0.215042×10^5 meter

⇒ λ = 21504.29 meter

Thus, the wavelength  λ , of a photon that has an energy of E = 4.26×10^−19 J is 21504.29 meter.

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Answer:

M= -2

Step-by-step explanation:

13-5=8

2-6=-4

8/-4= -2

The formula for slope is Y2-Y1/X2-X1.

so in this case it would be 13-5 divided by 2-6.

The new balance in Jimmy's account is 324.

An account is a record that records financial transactions concerning a specific asset, liability, equity, revenue, or expense in an accounting system. As the business events take place throughout the course of the accounting period, these records grow and shrink. The general ledger stores each individual account and is used to create financial statements at the end of an accounting period.

ACCORDING TO GIVEN STATEMENT;

Jimmy had a deposited amount of $500

minus $176, per the information provided;

his new balance is $500 minus $176,

= $324.

The new balance in Jimmy's account is 324.

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The slope of the line having the points ( -1 , 8 ) and ( 8 , 9 ) is 1 / 9.

We are given the two points:

( -1 , 8 ) and ( 8 , 9 )

We need to find the slope of the line that contains these two points.

We know that the formula for calculating the slope of the line is given by:

m = y₂ - y₁ / x₂ - x₁

Here, we have:

x₁ = - 1                     y₁ = 8

x₂ =  8                     y₂ = 9

Substituting the values in the formula, we get that:

m = 9 - 8 / 8 + 1

m = 1 / 9

Therefore, the slope of the line having the points ( -1 , 8 ) and ( 8 , 9 ) is 1 / 9.

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Answer: 160 ounces

Step-by-step explanation:

1 pint=16 ounces

10 pints * 16 ounces/1 pint=

10*16/1=

10*16=160 ounces

Answer:

192.152

Step-by-step explanation:

there in us ounces

Answer:

5-4=12x+x

1=13x

1/13=×

The reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children is 50%.

Number of children for 333 = 111 members

It should be noted that the total members is illustrated as:

= 666 + 111 + 111 + 888

= 1776

Therefore, the reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children:

= 888 / 1776

= 50%.

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The hospital needs to employ 21 nurses, 7 for each shift.

So, there are 3 shifts in a day and 7 nurses are needed for each shift.

Then,

Therefore, 21 nurses are needed, 7 for each shift.

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The complete question is given below:
During each shift, there are 7 nurses needed at each ward. If there are three shifts in a day, each nurse only can be on duty for one shift each day. How many more nurses does the hospital need to employ?

Answer:

y = -3x -34

Step-by-step explanation:

m= -3

plug the point in to find b

slope intercept form: y=mx+b

-7 = -3(-9) +b

-7 = 27 = b

-7 -27 = b

b= -34

plug in the m and b you found into the final equation:

y = -3x -34

Answer:

y = -3x -34

Step-by-step explanation:

The parent function, f(x) = |x|, and the graph of the parent and translated function, gives the equation of the translated graph as; f(x) = |x + 3|

The given parent function is; f(x) = |x|

From the parent function, we have;

When x = 0, f(0) = 0

The graph of the parent function is therefore the red graph.

The location of the vertex of the translated graph is at (x - 2, y + 1)

Given that the slope of the image of the graph of the parent function is the same as the slope of the graph of the parent function, we have;

(x, y) → (x - 2, y + 1)

Therefore in the image, the coordinates of y = x + 3

Which gives the equation for the translated graph as; y = |x + 3|

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Answer:39

Step-by-step explanation:

njhhvhj

The standard deviation is 6.09

The variance is 37.04.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

In order to determine the standard deviation, take the following steps:

(162 - 170.40)² + (166-  170.40)² + (179 -  170.40)² + (170 -  170.40)² + (175 -  170.40)²

70.56 + 19.36 + 73.96 + 0.16 + 21.16 = 185.20

√185.20 / 5 = 6.09

Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset.

6.09² = 37.04

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Total cost is $ 11,369.45

Rental truck costs $53.45 for a day $69 per mile.

a) If x is the number of miles driven

So, c(x)=53.45+69(x)

          c=53.45+69x

b) If x=164 miles

      c=53.45+164

      c=53.45+11,316

      c=$11369.45

∴Total cost is $11,369.45

What does number of miles mean?

the aggregate number of miles traveled over in a given time. length, extent, or distance in miles. the number of miles or the average distance that a vehicle can travel on a specified quantity of fuel: the car gets good mileage.

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Answer:

b) x=25

Step-by-step explanation:

If B is a midpoint, then segments AB and BC should be equal to each other.  

Then you can make an equation making both segments equal to one another:

2x-8=x+17

2x-x=17+8

x=25

Step-by-step explanation:

g(x)=f(x) +6 is the solution!

Answer:

For the function f(x) = 9x f(x + h) - f(x) construct and simplify the difference quotient h 3 1 The difference quotient for f(x) = is 9x

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

A perpendicular bisector is a line that divides the existing line or shape evenly and at 90° angles. First, we want to find the center point of our existing line. In this case, the center sits right at x = -4. Since the existing line is y = 3 and it is perfectly horizontal, we don’t need to do anything further. Our perpendicular bisector is x = -4.

*** When the existing line is y = [singular number], the perpendicular bisector will always be x = [midpoint of existing line], and vice versa.

Hope this helps!

The scale factor used to draw is 7.2

The size by which the shape is enlarged or reduced is called as its scale factor.

Given:

5 inches = 1 yard

Now, we know that

1 yd = 3 ft

now, to  Convert yards to inches

1 yd = 3 x 12

i yards = 36 inches

and, the scale factor is

=36 ÷ 5

= 7 1/5

= 7.2

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Answer: 11

2x^3 + 5 - 10 =

2(2)^3 + 5 - 10 =

2(8) - 5=

16-5=11

Step-by-step explanation:

The value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724

As per the given information, you contribute $3000 p.a. and your employer contributes $1500 p.a. to a 401(k)

So, the total amount contributed for 401(k) = $3000+$1500 = $4500 p.a.

This is a case of annuity because fixed amount is contributed each year.

Future value of an annuity is given by a formula = a [tex]\frac{(1+i)^{n} -1}{i}[/tex]    

Where, a = annuity = $4500

i = rate of interest = 8.3% p.a. or 0.083

n = no. of years or periods = 18

Now, substituting the values in the formula,

FV of Annuity =  4500 [tex]\frac{( 1+ 0.083)^{18}-1 }{0.083}[/tex]

 = 4500 [tex]\frac{4.2006 - 1}{0.083}[/tex]

= 4500 × 38.5614

= 173526.3

The future value of 401(K) after 18 years is $173,526

Now, After 40 years no contributions are made to the funds. Therefore, the future value at age 65 (after 25 years):

By applying compound interest formula, the future value = p × [tex](1+i)^{n}[/tex]

Here, p = present value or principal amount = $184,036

i = rate of interest = 8.9% or 0.089

n = no. of years or periods = 25

Substituting  the values:

Future value = $173526 × [tex](1+0.083)^{25}[/tex]

= 173526 × 7.34025

 = 1273724.22

You will have $1,273,424 in the plan at age 65.

Now, The difference between the amount of money you will have accumulated ate the age of 65 and the amount you

contributed (for 18years) in the plan = $1,550,956 – ($4500×18)      

= $1273724 - $81000

= $1,192,724

Hence, the value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724

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The correct option  D. x = 9, y = 7; obtained by the elimination method.

Now, as per the given question;

The equations are-

0.12x − 0.09y = 0.45 (multiply both side with 100)

12x - 9y = 45 ......equation 1

and,

-0.3x + 1.6y = 8.5 (multiply both side with 40)

-12x + 64y = 340 .......equation 2

Add equation 1 and 2;

55y = 385

y = 5

Put y = 5 in equation 1

12x = 45 + 45

x = 9

Thus, the values of the variables are obtained as (x = 9) and ( y = 7).

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The correct question is-

Use the elimination method to solve the system of equations below.

0.12x − 0.09y = 0.45

-0.3x + 1.6y = 8.5

Choose one • 4 points

A. x = −15, y = 7

B. x = 5, y = 7

C. x = 9, y = 5

D. x = 9, y = 7

Answer:

x=2

Step-by-step explanation:

2x+14=18

2x=18-14

2x=4

x=4/2=2

x=2

hope u understand

The slope of the tangent is equal to zero when the derivative is equal to zero, in other words when the function attains a local extremum (maximum or minimum)

So we have to ask ourselves, at which "x" value does f(x) admit a maximum or minimum.

From the graph we can tell that it is at the point of abscissa 2

Answer: False, not a solution because 1 is not greater than 1.

Step-by-step explanation:

Original Equation: b + 6 > 1

[plug in -5 for b] -5 + 6 > 1

[reduce]                1 > 1

One is not greater than one, therefore, it is false.

(D) V512 is not a rational number.

Since, numbers in options (A), (B), and (C) can be written in fractions, then these numbers are rational numbers.

Therefore, (D) V512 is not a rational number.

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The number of videos will be 3 and the number of CDs will be 2.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Christine went shopping and bought each of her five nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $78.61 on the gifts.

The number of the videos and CD will be calculated by forming an equation:-

14.95x + 16.88y = 78.61

From heat and trial, we put x = 3 and y = 2 then calculate.

14.95 x ( 3 )  + 16.88 x ( 2 ) = 78.61

44.85 + 33.76 = 78.61

78.61 = 78.61

Therefore, the number of videos will be 3 and the number of CDs will be 2.

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