Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π. Need this ASAP

Answer:

17.67

Step-by-step explanation:

You find the unit rate. So, 15,900 divided by 900 gives you 17.666666 (repeating). Then round to the nearest cent to get 17.67

The solution of expression is,

⇒ - 2xy + 5y - 9x

We have to given that,

An expression to solve,

⇒ 4xy - 6xy + 5y - 9x

Now, We can simplify the expression by combining like terms as,

⇒ 4xy - 6xy + 5y - 9x

⇒ - 2xy + 5y - 9x

Therefore, The solution of expression is,

⇒ - 2xy + 5y - 9x

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Answer:

-9n

Step-by-step explanation:

3n(5 + 3n - 8 - 3n)

First we combine the like terms inside the parenthesis:

3n(-3)

Because 5 -8 = -3 and 3n - 3n = 0

Now we multiply:

-9n

because 3n × -3 = - 9n

So the answer is -9n

Answer:

(2, -8)

Step-by-step explanation:

(x, y)=(-3, -1)

(x1+x2)/2=-3,

(y2+y2)/2=-1,

-------------------

(x1+x2)/2=-3

(y1+y2)/2=-1

---------------------

x1-8=-6

x1=2

----------

y1+6=-2

y1=-8

(2, -8)

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

Answer:

x=3

Step-by-step explanation:

BC= 5 ~ EC=25

And we can see that BC times 5 equals the EC value. This means that BA times 5 will equal ED.

So we can set 5 * (BC) = (ED)

5x=18-x

Then solve for x:

6x=18

x=3

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

So we are given that ΔABC and ΔDEC are similar.

In other words, AB and DE are similar. And CA and CD are also similar.

When the sides are similar, it means that their proportions are equal to the each other. Therefore:

[tex]\frac{AB}{DE}=\frac{CA}{CD}[/tex]

Substitute 30 for AB, 18 for DE, 2x-1 for CA and x+1 for CD. So:

[tex]\frac{30}{18}=\frac{2x-1}{x+1}[/tex]

Reduce the left by dividing both layers by 6. Thus:

[tex]\frac{5}{3}=\frac{2x-1}{x+1}[/tex]

Cross multiply:

[tex]3(2x-1)=5(x+1)[/tex]

Distribute:

[tex]6x-3=5x+5[/tex]

Add 3 to both sides:

[tex]6x=5x+8[/tex]

Subtract 5x from both sides:

[tex]x=8[/tex]

So, the value of x is 8.

And we're done :)

Answer:

1 : 3.

Step-by-step explanation:

15 : 45

Divide both numbers by 15 , we get:

1 : 3.

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Create 2 equations with the repeating number after the decimal point, then subtract the equations to eliminate the repeating number.

let x = 0.4444.... → (1) ← multiply both sides by 10

10x = 4.4444.... → (2)

Subtract (1) from (2) eliminating the repeater

9x = 4 ( divide both sides by 9 )

x = [tex]\frac{4}{9}[/tex]

Thus 0.444444... = [tex]\frac{4}{9}[/tex]

To know which power of 10 to multiply by

The power of 10 is the value to ensure the repeating 4 is after the decimal point.

Here it was [tex]10^{1}[/tex] as we required 0.4444.. → 4.444...

Answer:

B; $3.30

Step-by-step explanation:

Since $43.75 is the cost of 12 gallon tanks, you want to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks. This gets us to $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so you would want to put $3.30.

The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$ 39.60 per gallon.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that You can fill a ​12 gallon tank of gas for ​$43.75 or buy gas for ​$3.30​/gallon.

Since $43.75 is the cost of 12 gallon tanks, we need to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks.

$3.30 x 12 = 39.60

Thus, $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so we would want to put $3.30.

The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$ 39.60 per gallon.

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Answer:

Option A:

Number of seats

Step-by-step explanation:

A discrete quantitative variable is a variable that can be enumerated. This means that they are in units in which numbers can be assigned to and can be counted.

The number of seats present in the car can be counted. This feature can also be evaluated based on its numeral value, rather than its quality. In a simple form, the buyers feel that the more the number of seats present in the car, the more people it can carry. Hence, the family would love to buy a car with a good number of seats in it.

The other features in the options are rather continuous, qualitative, or boolean. Some of them are continuous because they cannot be counted e.g fuel efficiency. The others such as the presence of a sunroof can be seen as a boolean variable. (it can either be true or false)

Type of the transmission is a qualitative variable

Answer: fuel efficiency

Step-by-step explanation:

took the exam review on edg

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer:

180+27x=p

Step-by-step explanation:

Answer:

The answer is "0.9461"

Step-by-step explanation:

Given:

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex]

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] ≈[tex]\sum^2_{n=0}\frac{(-1)^n x^{2n+1} (-1)^n (x-1)^n}{(2n + 1)!}[/tex]

[tex]\therefore[/tex]

[tex]\to \sin x = \sum^{\infty}_{n=0} (-1)^n\frac{x^{(2n+1)}}{(2n + 1)!}[/tex]

[tex]\because \\\\ \to \frac{\sin x}{x} =\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n+1-1}}{(2n+1)!}\\[/tex]

           [tex]=\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n}}{(2n+1)!}[/tex]

The value is in between 0 and 1 then:

 [tex]\to \int^1_0 \frac{sin(x)}{x} = =\sum^{2}_{n=0} \frac{(-1)^n}{ (2n+1) (2n+1)!}[/tex]

The above-given series is an alternative series, and it will give an error, when the nth term is bounded by its absolute value, that can be described as follows:

[tex]\to \frac{1}{(2n+3) (2n+3)!}< 0.0001\\\\\to (2n+3) (2n+3)!> 0.0001\\\\\to n\geq 2 \\[/tex]

So,

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] ≈[tex]1 - \frac{1}{3 \cdot 3!}+\frac{1}{5 \cdot 5!}\\\\[/tex]

                  [tex]\approx 1 - \frac{1}{3 \cdot 6}+\frac{1}{5 \cdot 120}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx \frac{18-1}{18}+\frac{1}{600}\\\\\approx \frac{17}{18}+\frac{1}{600}\\\\\approx \frac{1700+3}{1800}\\\\ \approx \frac{1703}{1800}\\\\\approx 0.9461[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then the approximation summation is equal to 0.9461.

The finite series can be used as a polynomial with an infinite number of the term.

[tex]\int_{0}^{1} \dfrac{\sin x}{x} dx = \sum_{n=0}^{2} \dfrac{(-1)^{n}x^{2n+1}(-1)^{n}x^{n}}{(2n+1)!}[/tex]

Then we have

[tex]\Rightarrow \sin x = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1}}{(2n+1)!} \\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1-1}}{(2n+1)!}\\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n}}{(2n+1)!}[/tex]

Then the value is between 0 and 1, will be

[tex]\Rightarrow \int_0^1 \dfrac{\sin x}{x} = \sum_{n=0}^{2} \dfrac{(-1)^{n} }{(2n+1)(2n+1)!}[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then which can be described as

[tex]\Rightarrow \dfrac{1}{(2n+3)(2n+3)!} < 0.0001\\\\\\\Rightarrow (2n+3)(2n+3)! = > 0.0001\\\\\\\Rightarrow n > 2[/tex]

So,

[tex]\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 3!} + \dfrac{1}{5\times 5!}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 6} + \dfrac{1}{5\times 120}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{18} + \dfrac{1}{600}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 0.9461[/tex]

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15=2

7+7=14+1=15=2

sooooooooo just going to keep righting

The ratio of student to teacher is 1:7

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given: There are 15 students in a preschool class and for every 7 students there is 1 teacher. Clearly the ratio is 1:7

Hence, The ratio of student to teacher is 1:7

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The correct answer is $241.1 each week and $964.4 each month

Explanation:

To calculate the amount Karen should receive, it is required to calculate the money she earned from Monday to Saturday and then the money she earned on Sunday as the amount paid per paper is different on Sunday.

Monday to Sunday:

Karen delivers 124 papers each day from Monday to Sunday. This means she delivers a total of 744 papers (124 papers each day x 6 days = 744 papers). Now, let's find the money she earned from Monday to Sunday:

744 papers x 18.2 cents = 13540 cents or 135.4 dollars (each dollar is equivalent to 100 cents, which means if you divide the cents into 100 you get the equivalent in dollars)

This means the total Karen earned from Monday to Saturday is $135.4

Sunday:

Karen delivers 151 Sunday papers and with each of these she earns 70 cents

151 papers x 70 cents = 10570 cents or 105.7 dollars

Total per week:

$135.4 + $105.7 = $241.1 each week, which is equivalent to $964.4 a month ($241.1 x 4 weeks = $964.4 )

Answer:

Jill is incorrect

Step-by-step explanation:

Given

[tex]\frac{23}{1000}= 0.23[/tex]

Required

Determine if Jill is correct or incorrect

Start by solving the expression on the left hand side:

[tex]\frac{23}{1000} = 0.023[/tex]

The result of [tex]\frac{23}{1000}[/tex] gives 0.023 and not 0.23 as Jill as said;

Hence;

Jill is incorrect and the expression is false;

Complete Question

Compute the critical value  [tex]Z_{\frac{\alpha }{2} }[/tex]   that corresponds to a  96​%  level of confidence.

Answer:

The value is  [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326[/tex]

Step-by-step explanation:

From the question we are told that

    The confidence level [tex]C = 96\%[/tex]

Generally the level of significance is mathematically represented as

      [tex]\alpha = (100 -96)\%[/tex]

      [tex]\alpha = 0.04[/tex]

Now from the normal distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] is

    [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326[/tex]

Answer:

The total cost of the fencing as a function of side is [tex]C = 8\cdot x[/tex].

Step-by-step explanation:

Dimensionally speaking, the total cost is equal to the product of length and cost per length. Given that orchid garden has a square form, there is only an input: Side ([tex]x[/tex]), measured in feet. Therefore, the total cost of fencing is represented by the following formula:

[tex]C = (c_{west} + c_{south} + c_{east})\cdot x[/tex]

Given that [tex]c_{west} = c_{east} = 2\,\frac{\$}{ft}[/tex] and [tex]c_{south} = \$\,4\,\frac{\$}{ft}[/tex], the total cost of the fencing as a function of side is:

[tex]C = 8\cdot x[/tex]

Answer:

10 units

Step-by-step explanation:

The diagnonals of a rhombus meet at right angle to their selves and bisect each other.

So one quarter will form a right angle triangle of base 6 and height 8.

Let The length of one side of the rhombus be x

X²= 8²+6²

X²= 64+36

X²= 100

X= √100

X= 10 units

Answer:

answer is C. 10 units. Just took the test

Step-by-step explanation:

Answer:

11^3/5

Step-by-step explanation:

Fractional exponents work like so:

[tex]x^{\frac{a}{b}} = \sqrt[b]{x^a}[/tex]

Essentially, the numerator (a) of the fraction is the power and the denominator  (b) of the fraction is the root.

[tex]x^\frac{power}{root}[/tex]

We are given:

[tex]\sqrt[5]{11^3}[/tex]

The power is 3 and the root is 5. Let's substitute the values in.

[tex]x^\frac{power}{root}[/tex]

[tex]power=3\\root=5[/tex]

[tex]x^\frac{3}{5}[/tex]

x is the base. In this case, the base is 11.

[tex]11^\frac{3}{5}[/tex]

Therefore, 11^3/5 is the correct answer.

Answer:

Step-by-step explanation:

The probability that the test result  is a false positive

total number of cases studied  (n) = 38 + 12 + 19 + 29 = 98

number of false positive cases ( x ) = 1

probability of false positive result = x / n = 1/98 = 0.010

The non-drug user will suffer from the result since it is positive

Answer:

none of the above

Step-by-step explanation:

the equation is supposed to be 3=2.91, 2=x, I hope you get it.

Answer:

Yeah I've thought of it and have an example with the year 2000 as the birth year

So 2000 In binary= 11111010000

Step-by-step explanation:

Binary numbers consist of only 0 and 1

So to convert a number to binary we divide by 2

Let's assume a birth year of 2000

Now let's convert it to binary

2000/2= 1000 R 0

1000/2= 500 R 0

500/2= 250. R 0

250/2= 125. R 0

125/2 = 62. R 1

62/2= 31. R 0

31/2= 15. R 1

15/2 = 7. R. 1

7/2= 3. R 1

3/2 = 1. R 1

1/2 = 0. R 1

Where R signifies the remainder

So we'd pick the remainder from the bottom and that becomes our binary number

So 2000 In binary= 11111010000

Answer:

I think they are

|9|

|-9|

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3