On the weekdays a grocery store has 14239 customers and on the weekends the grocery store has
11634 customers. How many more customers does the grocery store have on weekdays than on
weekends?

Here, on solving the provide question to us, we got to know that - 210 feet represents  = 825/4

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

Here,

15 feet represents = 1/8 of an inch

1 feet represents = 1/8 X 15

210 feet represents = 1/8 X 15 X 210 = 825/4

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Answer:D

Step-by-step explanation:

I got you!

The probability that their mean pulse rate is less than 80 beats per minute is of:

0.7389 = 73.89%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 76, \sigma = 12.5, n = 4, s = \frac{12.5}{\sqrt{4}} = 6.25\)

The probability that their mean pulse rate is less than 80 beats per minute is the p-value of Z when X = 80, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (80 - 76)/6.25

Z = 0.64

Z = 0.64 has a p-value of 0.7389.

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Answer:

x=5

Step-by-step explanation:

you add .4 to both sides, leaving you with .7x = 3.5

then you divide both sides by .7 & it gives you the answer of x=5

Answer:

Step-by-step explanation:

If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

A relation is a function if it has only One y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

If f(x)=x²+4

Then we have to prove f⁻¹of(x)=f⁻¹(f(x)

Let us consider fof⁻¹(x)

f(f⁻¹(x))

x

So (fof⁻¹(x))=x

Now f⁻¹of(x)=f⁻¹(f(x)

=x

Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

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Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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Answer:

y=-1x+3

I honestly have no idea how I would explain this. Apologies.

Answer:

[see below]

Step-by-step explanation:

Finding Slope:

m = \(\frac{rise}{run}=\frac{0-2}{3-1}=\frac{-2}{2}=-1\)

Using the slope and a point to make a point slope equation:

\(y-y_1=m(x-x_1)\)

m = -1  (x,y) = (1,2)

Plug values:

\(y-2=-1(x-1)\)

Convert the equation into slope-intercept:

\(y-2=-1(x-1)\\\\y-2=-1x+1\\\\y-2+2=-1x+1+2\\\\y=-1x+3\\\\\boxed{y=-x+3}\)

Hope this helps.

The variables which are known from the information given in the task content are; The Monthly interest amount and the Principal.

It follows from the task content that the variables which are known are to be determined.

Since it is given in the task content that the minimum monthly payment is; $22, it follows that the interest amount is; $22.

Also, since the credit card bill is; $1,000, it follows that the principal on the credit card is; $1,000.

Hence, the variables which are known are;

The variables above are therefore used to determine the interest rate of the credit card.

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The probability of selecting at least one marble that is not red is given as follows:

1.

The mass probability formula is presented as follows:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

Considering a success as selecting non-red marbles, the values of these parameters are given as follows:

N = 4, n = 2, k = 3.

The probability of at least one not red is given as follows:

P(X > 0) = 1 - P(X = 0).

In which:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,4,3,2) = \frac{C_{3,0}C_{1,2}}{C_{4,2}} = 0\)

Hence the probability is of:

P(X > 0) = 1 - P(X = 0) = 1 - 0 = 100%.

The problem is given by the image shown at the end of the answer.

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Answer:

11 id.k i think

Step-by-step explanation:

i think that it

A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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The value of x from the venn diagram if P(T | V) = 1/5 is 16

From the question, we have the following parameters that can be used in our computation:

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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Answer:

The total cost of adding wallpaper to the room is $487.20

Step-by-step explanation:

Basically, how I got the answer is:

1. The shorter sides of the rectangle are 12 and the longer sides are 14.

2. The formula for a rectangle is A = l x w. The "l" means length and the "w" means width. 14 is the length and 12 is the width. So you should now have A = 14 x 12. If you multiply 14 by 12, you will get 168.

3. Since 1 square foot of carpet costs $2.90, then you should multiply by 168, which will give you $487.20 and that's pretty much it.

Hope this helps! :)

The total cost of adding wallpaper to the room by Mr. Hawkins is $487.20.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that the shape of the wall that Mr. Hawkins covering with wallpaper is rectangular.

The formula to find the area of a rectangular shape is,

Area of a rectangular shape = Length × Width

Given that,

Length of the wall = 14 feet

Width of the wall = 12 feet

Substituting the given measurements to the formula, we get,

Area of the wall = 14 × 12 = 168 feet²

Also, given that,

Cost for each square foot of wall = $2.90

Cost for 168 square feet = $2.90 × 168

                                        = $487.20

Hence the total cost for adding wallpaper to the room is $487.20.

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Answer:

because the first one isn't the exact same as the second it equals something different and if u think about it it wouldn't look the exact same but in the front of the small one only has one and the first one has two

Answer:

I am pretty sure it's 0.2

Answer:

5/24

Step-by-step explanation:

To find 5/12 divided by 2, we do keep change and flip

Therefore we keep 5/12 change the division sign and flip the 2

We will get

5/12 * 1/2, this would give us 5/24

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

Answer:

the function is only increasing.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vicky  jogged 4 1/2 miles or 9/2 miles  or 4.5 miles

7/8 of 60 min=(7*60)/8=(7*15)/2= 52.50 min

4.5 miles....................52.50 min

? miles.......................60 min

vicky will have a rate of 5.14 miles/hour

11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

Answer:

Range: 1,3,7

Step-by-step explanation:

(-1,1),(0,3),(2,7)

2(-1)+3

2(0)+3

2(2)+3

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

12.64 (unrounded)

Step-by-step explanation:

formula; a^2+b^2=c^2

you have your given which is 3 and hypotenuse of 13

plug in 3^2+b^2=13^2

solve 9+b^2=169

subtract   9 to the right side

169-9=160

bring down b^2=160

get rid of the square so \(\sqrt{160}\)

which will be 12.64 unrounded

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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The image below is  a reduction, the scale factor is 1/5.

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

\(s \times x = y\\s = \dfrac{y}{x}\)

Thus, scale factor is the ratio of the new measurement to the old measurement.

Given;

The two triangle with  4cm, 5cm, 3cm and  20cm, 25cm, and 15cm.

Now,

s=4/20=1/5

s=5/25=1/5

s=3/15=1/5

Therefore, the scale factor will be 1/5.

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Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

The required quadratic polynomial is  \(x^{2} - 8x + 12 =0\) and roots of this quadratic polynomial are 2 and 6.

Let the roots of the quadratic equation be  \(\alpha\) and \(\beta\) .

Given,  

          Sum of zeroes,  \(\alpha +\beta = 8\)

           Product of Zeroes, \(\alpha *\beta = 12\)

we know that,

      Quadratic Equation can be written as :

                     \(x^{2} - (\alpha + \beta )x + \alpha \beta =0\)

     Substituting the values in the above Equation,

                    \(x^{2} - (8)x + (12) =0\)

                    \(x^{2} - 8x + 12 =0\)

Hence, The required quadratic equation is \(x^{2} - 8x + 12 =0\) .

Now, let's factorize the equation to find its root:

                    \(x^{2} - 8x + 12 =0\)

                    \(x^{2} - 6x -2x+ 12 =0\)

                    \(x(x-6) -2(x-6)=0\)

                     \((x-6)(x-2)=0\)

                    ⇒ \(x= 2,6\)

Therefore roots of the quadratic equation \(\alpha ,\beta\) are \(2,6\) .

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Answer:

the answer is D

Step-by-step explanation:

√-9 ≠ -3

-3 ≠ √-9

(-3)² ≠ -9 ( proven )

9 ≠ -9

The value √-9 ≠ -3², option D is correct answer.

An imaginary number is a number that, when squared, has a negative result.

Given an expression, √-9

√-9 ≠ -3

-3 ≠ √-9

(-3)² ≠ -9

9 ≠ -9

Hence, √-9 ≠ -3²

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