Travis wrote five checks to the employees of his business, each for $225. if the original balance in his checking account was $890, what is his new balance?

Answer:

(1,-2)

Step-by-step explanation:

Passes through (-3,2) and perpendicular to the line containing (2,3) and

Answer:

V≈743.25

Step-by-step explanation:

V=5

12tan(54°)ha2=5

12·tan(54°)·4·182≈743.24624

The value of the integer number n is greater than 5 and less than 9.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is use it to compare two statements.

Simplification is to make something easier to do or understand and to make something less complicated.

Shantira is thinking of a number n.

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

Let n be the integer number.

Then according to the condition,

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

24 < 6n - 6 < 48

Add 6, then

30 < 6n < 54

Divide it by 6

5 < n < 9

So the value of the integer number n is greater than 5 and less than 9.

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Answer:

5x + 3y = 18

Step-by-step explanation:

First find slope.  m = (y2 - y1)/(x2 - x1) = (6 -1)/(-6 --3)  = 5/-3

then. use. y - y1 =. m (x - x1).  which gives. y - 1 = -5/3(x - 3)

then. y - 1 = -5/3x + 5

then y = -5/3 x + 6. or. 5x + 3y = 18

Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

Step-by-step explanation:

A Taxi driver charges a flat rate = 7.25 dollars

taxi fare for 1 mile = 0.65 dollars

Suppose we consider Total money taxi driver can spend = 10 dollars

Let taxi driver travel x miles

Total charges = flat rate charge + taxi fare for each mile(distance) travelled

Find the value y = [?] + [?]x

suppose these two question marks indicate z1,z2

replace with y=10 and z1=1.75 and z2=0.65 values

Then y = [z1] + [z2]x

10 = 1.75 + 0.65(x)

0.65(x) = 10 - 1.75

0.65(x)= 8.25

x = 8.25/0.65

x = 12.7 miles

If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.

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The current percentage in comparison to in the year 2000 is 88.22%.

We are given the percentage of death in the year 2000, 2015 and the difference. Now, we have to find the percentage of donors between change and the original deaths in the year 2000.

To find this, we will use the following formula -

Percentage change = Difference between the percentage change in the year 2000 to 2015 ÷ Percentage of deaths in the year 2000 ×100

Now, keep the values in formula to find the percentage change.

Percentage change = [tex]\frac{8.24}{9.34} *100[/tex]

Performing division to find the percentage change

Percentage change = 0.882*100

Further performing multiplication to get the answer in the form of percentage

Percentage change = 88.22%

Hence, the comparison of difference with the percentage of donors dying from drug overdoses in 2000 is 88.22%.

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Answer:

$180

Step-by-step explanation:

Well because it is $27 per hour, you can start with the whole hours:

6*27=162

then because you are working with fractions you can find what 1/3 of 27 is:

27* (1/3)=9

this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.

Then you just add it all up:

162+18=180

The absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12

The inequality expression is given as

-6 < x < 18

The distance is calculated as:

Distance = |18 -(-6)|/2

Evaluate the difference

Distance = 12

The midpoint is calculated as:

Midpoint = 0.5 * (18 - 6)

Evaluate

Midpoint = 6

The absolute value inequality is represented as

|x - Midpoint| < Distance

So, we have

|x - 6| < 12

Hence, the absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12

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Answer:

a=79

Step-by-step explanation:

you just have to make "a" the subject of the formula so as to solve for "a"

a=47+32=79

Answer:

5/6

Step-by-step explanation:

Answer is 54. Here is a trick for you. Write 63 as a fraction, with the denominator as 1. 63/1. Then insert the fraction you are calculating, 6/7: (6*63)/7*1. Do the multiplication, 6*63=378, 7*1=7. Then write as 378/7. What's 378/7? Your answer 54.

Answer:

54

Step-by-step explanation:

9 x 6 = 54 Bruce will end up with 54 brownies if he cuts each of the 6 brownie pans of brownies into 9.

The 500,00th number in the sequence = 98828

A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.

here n^th iteration n+3 element are listed and n element are skipped.

now before nth iteration total skipped natural number : 1+2+3+.........n-1

                                                                                           = n(n-1)/2

now after completion of nth iteration total listed natural number = 4+5+6+.....n+3

= ((n+3)(n+4)/2)-6

to find 50000th number total listed element must be greater than or equal to 50000.

((n+3)(n+4)/2)-6 ≥ 50000

(n+3)(n+4) ≥ 100012

n = 313

total skipped before 313th iteration

=( 313 * 312)/2

=  48828

total listed before 313th is 48828.

listed after 312th iteration

= ((315)(316))/2)-6

= 49764

total number remaining for 50000

= 50000 - 49764

= 236

total number passed.

skipped+ listed

= 48828 + 49764

= 98592

50000th element = 98592 + 236

                              = 98828

The 500,00th number in the sequence = 98828

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Answer:

4000inches

Step-by-step explanation:

1000*4 = 4000inches

Answer: 4,000 inches

Step-by-step explanation:

this is because 4 times 1000 is 4000 so the Hyperion tree would be 4000 inches tall

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answers to all the subparts of the question are shown below.

(A) What type of observational study was this?

(B-1) What is the response variable?

(B-2) What is the explanatory variable?

Therefore, the answers to all the subparts of the question are shown.

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Answer:

g = 2b - 17

Step-by-step explanation:

Girls = g

Boys = b

g = 2b - 17

Answer:

1/2

Step-by-step explanation:

0.5 is half of 1 so 1/2 is 0.5 as a fraction

Answer:

I think the answer to this question is the last multiple choice answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(E) 6x+12

relations: A relation R is the subset of the cartesian product of X x Y, where X and Y are two non-empty elements. It is derived by stating the relationship between the first element and second element of the ordered pair of X × Y. The set of all primary elements of the ordered pairs is called a domain of R and the set of all second elements of the ordered pairs is called a range of R.

functions: A relation ‘f’ is said to be a function, if every element of a non-empty set X, has only one image or range to a non-empty set Y.

f(x) = 3x + 4

2 * f(x) + 4 = (2 × f(x)) + 4

From above equation

= (2 × (3x + 4)) + 4

= (2 × 3x) + (2 × 4) + 4

= 6x + 8 + 4

= 6x + 12

Therefore, the value of 2f(x) + 4 is ′6x + 12′.

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In determining whether a process is in statistical control, the R-chart should be analyzed first.

Given that, in determining whether a process is in statistical control, the _____ should be analyzed first.

A quality control technique called statistical process control uses statistical techniques to monitor and manage a process. This makes it possible to maintain an effective process that generates more products that meet specifications while using less trash.

When measuring small subgroups (n 10) from a process at regular intervals, an R-chart is a sort of control chart that is used to track the process variability (as the range). The value of a subgroup range is represented by each point on the chart.

Therefore, in determining whether a process is in statistical control, the R-chart should be analyzed first.

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Answer:

9

Step-by-step explanation:

[tex]38-14\\\bold{24}\\\rightarrow 1\div \:4\cdot \:24+3^3\div \:9\\3^3\\\bold{27}\\\rightarrow 1\div \:4\cdot \:24+27\div \:9\\1\div \:4\cdot \:24\\\frac{1}{4}\cdot \:24\\\bold{6}\\\rightarrow 6+27\div \:9\\27\div \:9\\\bold{3}\\6+3\\=9[/tex]

What you have to do first is you have 5 owners correct? well you take anything they are sharing in the case it is delay/debt. so you divide $110 by 5 and you should get the amount $22. This means that each owner has to pay $22 to the delay.

The given bounded region is the set

[tex]R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}[/tex]

assuming the curves are [tex]y=x^4[/tex] and [tex]x=y^4\implies y=x^{1/4}[/tex] (since [tex]x>0[/tex] in the first quadrant).

The coordinates of the centroid are [tex](\bar x, \bar y)[/tex] where [tex]\bar x[/tex] and [tex]\bar y[/tex] are the average values of [tex]x[/tex] and [tex]y[/tex], respectively, over the region [tex]R[/tex]. These are given by the ratios

[tex]\bar x = \dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \bar y = \dfrac{\displaystyle \iint_R y\,dA}{\displaystyle \iint_R dA}[/tex]

Compute the area of [tex]R[/tex].

[tex]\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35[/tex]

Integrate [tex]x[/tex] and [tex]y[/tex] over [tex]R[/tex].

[tex]\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}[/tex]

[tex]\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}[/tex]

Then the centroid's coordinates are

[tex]\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463[/tex]

[tex]\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}[/tex]

The largest area of rectangle can be A= (11√11)/√2

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Area = l × w. l = length. w = width.

Given:

y=11-x²

Consider,

x is the length of the base

y is the vertices on the curve (width)

As, the area of a rectangle with its base on the x-axis.

So, base =2x

Then Area of rectangle

A = 2x(11-x²)

Foe maximum area, dA/dx=0

dA/dx = 22-4x²

22-4x² =0

22=4x²

11/2 = x²

x=√(11/2)

Now, Put x=√(11/2) in area

A= 2*√(11/2) ( 11-11/2)

A= √22(11/2)

A= (11√11)/√2

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The domain of the function:{x|x<-1 and x>1} or (-∞,-1] ∪[1,∞) and the range of the function {y|y∈R} or (-∞,∞) .

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

In the given graph we can see that the values of x are all real values greater than 1 and all real values less than 1

Therefore the domain of the function is set-builder notation is given by:

{x|x<-1 and x>1}

The domain of the function in interval notation is given by:

(-∞,-1] ∪[1,∞)

Therefore the range of the function is set-builder notation is given by:

{y|y∈R}

The range of the function in interval notation is given by:

(-∞,∞)

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The plumber has enough handles to install the entire 9 sinks

A plumber needs to install handles in 9 sinks

Each sink has a hot water handle and a cold water handle, that means each sink will require 2 handles. This means the multiplication of 9 and 2

= 9 × 2

= 18

The plumber has a total of 19 handles and 18 handles are required for the installation. This means that he has enough handles and he will be left with one handle.

Hence, there will be enough handles for the installation.

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