Gwendolyn was physically present in the United States for 96 days in 2019, 198 days in 2018, and 66 days in 2017. Under the substantial presence test formula, how many days is Gwendolyn deemed physically present in the United States in 2019 g

Answer:

$16.5

Step-by-step explanation:

25 % of 22 is 5.5

22 - 5.5 = 16.5

The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.

Given that  the original price of a DVD  is $22, that means the cost of the DVD is $22.

This week the sale on the original  price of  a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.

Here, calculate the discount on the original price of a DVD.

\(Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5\)

The discount is $5.5  on the original  price of  a DVD.

Therefore, the sale price of a DVD on this week after the discount:

\(Sale\ price= \$22-$5.5\\Sale\ price=\$16.5\)

Thus, the sale price of a DVD is $16.5.

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If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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The value of the missing segment n using the product of intersecting chord theorem is 14cm

The product of the segments of two intersecting chords are equal.

The segments of the chords ;

Chord 1 = 4 and n

Chord 2 = 7 and 8

The principle can be related Mathematically thus ;

4 × n = 7 × 8

4n = 56

Divide both sides by 4

4n/4 = 56/4

n = 14

Therefore, the value of n in the question is 14cm

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Answer:

-3x + 9 -9 = -15 -9

-3x = -24

-3x ÷ -3 = -24 ÷ -3

x = 8

Answer:

\(Rate = \$0.05\)

Step-by-step explanation:

Given

\(Base\ Amount = \$0.50\)

\(Additional = \$0.05\)

Required

Determine the rate of change.

From the given parameters, we understand that the on a daily basis, there's a charge of $0.05.

This charge represent the rates at which the fee changes on a daily basis.

Hence:

\(Rate = \$0.05\)

Answer:

the answer is 4n

Step-by-step explanation:

20/5 is equal to 4 so if u multiply 5m*4n=20mn

Answer:

-3/2 or -2.5

Step-by-step explanation:

Use the y=mx+b formula

Subsitute given values...

y=-1/7x+b

use the point (-21,1/2) to substitute values for x and y

1/2=-1/7(-21)+b

solve

1/2=3+b

subtract both sides by 3

-3/2 = b

Therefore the answer is -3/2

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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Answer:

social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%

Sample size 'n' = 625

Step-by-step explanation:

Step(i):-

Given data Apple launches an ad campaign for iPhone 12

Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign

probability of positive reactions p = 1/2

Probability of negative reactions q = 1-p = 1/2

we know that \(\sqrt{p(1-p}\leq \frac{1}{2}\)

Step(ii):-

Given margin of error  = 2 % =0.02

The margin of error is determined by

          \(M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }\)

         \(0.02 = \frac{\frac{1}{2} }{\sqrt{n} }\)

        \(\sqrt{n} =\frac{1}{2 X0.02}\)

        √n = 25

squaring on both sides, we get

       n = 625

f(x) has a point of inflection at x = 0 and x = 1/2.To find the values of x where the graph of the function\(f(x) = x^4 - x^3\) has a point of inflection, we need to find where the second derivative of the function changes sign from positive to negative or vice versa.

The first derivative of the function is:

\(f'(x) = 4x^3 - 3x^2\)

The second derivative of the function is:

\(f''(x) = 12x^2 - 6x\)

Setting f''(x) equal to zero and solving for x gives:

\(12x^2 - 6x = 0\)

6x(2x - 1) = 0

This equation has two solutions:

x = 0, or x = 1/2

To determine whether these values of x correspond to points of inflection, we need to look at the sign of the second derivative on either side of each value.

When x < 0, f''(x) is positive because both \(12x^2\) and -6x are positive. When 0 < x < 1/2, f''(x) is negative because \(12x^2\)is positive but -6x is negative. When x > 1/2, f''(x) is positive again because both \(12x^2\) and -6x are negative.

Therefore, f(x) has a point of inflection at x = 0 and x = 1/2.

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Answer:

10.8 ft

Step-by-step explanation:

6 goes into 18 3 times that means you multiply 3.6 by 3 and yo get 10.8 ft.

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

975

Step-by-step explanation:

195 the same average x 5 the total hours =975

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

A

 \(P(X =  8 ) =  0.0037\)

B

    \(P(X < 5) =  0.805\)

C

I will not be surprised because the probability that fewer than half covered their mouth when​ sneezing is less than 0.5

Step-by-step explanation:

From the question we are told that

   The probability a randomly selected individual will not cover his or her mouth when sneezing is \(p = 0.267\)

    The probability a randomly selected individual will cover his or her mouth when sneezing is

                   \(q = 1 -p\)

                   \(q = 1 -0.267\)

                    \(q = 0.733\)

Generally the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing is mathematically represented as

        \(P(X =  8 ) =  \left 12 } \atop {}} \right. C_8 *  p^8 *  q^{12-8}\)

        \(P(X =  8 ) = 495 *  (0.267)^8 *  (0.733)^{12-8}\)

        \(P(X =  8 ) =  0.0037\)

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

       \(P(X <  5 ) =  P[ P(X = 0) + \cdots + P(X =  4)]\)

=>        \(P(X <  5) = \left 12 } \atop {}} \right. C_0 *  (0.267)^0 * (0.733)^{(12- 0) }+\cdots +  \left 12 } \atop {}} \right. C_4 *  (0.267)^0 * (0.733)^{(12- 4) }\)

=>     \(P(X < 5) =  0.805\)

Give that half of  12 is  6 then

The probability that fewer than half covered their mouth when​ sneezing is mathematically represented as

      \(P(X > 6) =  1 -  P( X \le 6 )\)

  => \(P(X > 6)  =  1 -  [P(X = 0 ) +\cdots+P(X = 6) ]\)

 => \(P(X > 6) = 1 -  [\left 12 } \atop {}} \right. C_0 *(0.267)^0 *  (0.733)^{12 - 0 } +\cdots + \left 12 } \atop {}} \right. C_6 * (0.267)^6 *  (0.733)^{12-6}]\)

=>    \(P(X > 6)   =  0.0206\)

Answer: 21.5

Step-by-step explanation:

The order of operations are:

1) Parenthesis and Brackets

2) Exponents

3) Multiplication and Division (from left to right)

4) Addition and Subtraction (from left to right)

Parenthesis are first so let's solve them first

43 ÷ (7 − 3) × 2

43 ÷ (4) × 2

Now we only have division and multiplication

So we must do this from left to right, starting by 43 ÷ 4

43 ÷ 4 × 2

10.75× 2

Finally, multiply

10.75× 2

21.5

Answer:

\(43 \div (7 - 3) \times 2\)

using BODMAS ~

\(43 \div (4) \times 2 \\ \\ \dashrightarrow \: \frac{43}{\cancel{4}} \times \cancel{2} \\ \\ \dashrightarrow \: \frac{43}{2} \\ \\ \dashrightarrow \: 21.5\)

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The area of rectangle is 96in2 which is option A.

To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.

The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.

The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.

Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.

So the answer is 96 in².

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The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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Answer:

100

Step-by-step explanation:

Forming algebraic equations and solving:

Let the number of boys originally  at the stop = 'x'

Let the number of girls originally at the stop = 'y'

25  girls get on the first bus.

⇒ The number of girls now at the stop = y -25

Ratio of boys to girls:

        \(\sf \dfrac{x}{y -25}= \dfrac{3}{2}\\\\Cross \ multiply,\\\\2x = 3*(y- 25)\\\\2x = 3y - 3*25\\\\2x = 3y - 75 ------\)(I)

15 boys get on the second bus.

Now, the number of boys at the stop = x - 15

Number of girls at the stop = y - 25

Ratio of boys to girls,

     \(\sf \dfrac{x - 15}{y -25} = \dfrac{1}{1}\\\\Cross \ multiply, \\\\x - 15 = y -25\\\\\)

             x = y -25 + 15

             x = y - 10

Plugin x = y - 10 in equation (I)

          2*(y-10) = 3y -75

          2y - 20  = 3y -75

                -20 = 3y - 75 - 2y

                -20 = y -75

         -20 +75 = y

                 \(\sf \boxed{\bf y = 55}\)

Plugin y = 55 in equation (I)

       x = 55 -10

        \(\sf \boxed{\bf x = 45}\)

Number of students originally at the stop = x + y

                                                                     = 55 + 45

                                                                     = 100

Answer: umm it k

Step-by-step explanation: k+g-g=k

g-g=0

k=k

Answer: 13m

Step-by-step explanation:

Use Pythagorean theorem: a²+b²=c²

5²+12²=c²

25+144=c²

c²=169

c=13 (even if it is true that there are positive and negative solution, but length cannot be negative)

Given:

To Find:

Concept Used:

Answer:

Here given

Here the length of ladder is equal to hypotenuse of ∆ so formed.

Now in a right angled ∆ ,

=> (hypotenuse)² = (pependicular)²+(base)².

=> h ² = (12m)²+(5m)²

=> h² = 144m² + 25m².

=> h² = 169m².

=> h = √169m².

=> h = 13m.

Hence the required answer is 13m.

Answer:

The test had 60 total points.

Step-by-step explanation:

48÷80%=?

      80%=0.8

 48÷0.8=60

Answer:13)2,4,6,8

14)x=3

Step-by-step explanation:

13) you should make it equal to numbers inside bracket {}.

for example,

1.-6x+11=-37

-6x=-37-11=-48

x=8

2.-6x+11=-25

-6x=-36

x=6

3.-6x+11=-13

-6x=-24

x=4

4.-6x+11=-1

-6x=-12

x=2

14)f(x)=13

f(x)=3x+4=13

3x=9

x=3

Answer:

\(y = 17x - 22\)

Step-by-step explanation:

hope this helps you out!

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

-21 cups.

Step-by-step explanation:

4-14-11=-21