Which of the following is the value of PQ ?

Helllp please

Answer:

The solution is rotation, then translation. The figure has been rotated about the origin by 90° and then translated 6 units to the right.

Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

Just took the test, so the answer is...

D. Horizontally compressed by a factor of 1/3

\(f(x)=\frac{1}{2}sin(x)-4\) is horizontally compressed by a factor of 1/3 to get \(f(x)=\frac{1}{2}sin(3x)-4\)

Option D is correct

Note that:

If a function \(f(x)=Asin(x)\) is transformed to \(g(x)=Asin(kx)\), it means that the function f(x) is horizontally compressed by 1/k

Relating this rule to the given function \(f(x)=\frac{1}{2}sin(x)-4\)

If x is replaced with 3x, the function will become:

\(f(x)=\frac{1}{2}sin(3x)-4\)

This means that the graph of  \(f(x)=\frac{1}{2}sin(x)-4\) is horizontally compressed by a factor of 1/3 to get \(f(x)=\frac{1}{2}sin(3x)-4\)

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According to the information, the maximum infection rate is:  k * 2500 * (5000 - 2500) = 6250k = 40

To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:

where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:

To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:

This implies that 5000 - 2x = 0, and therefore:

Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.

However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:

If the infection rate is 40 new cases per day, we have:

which implies that:

Therefore, the maximum infection rate is:

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Answer:

C is the answer, please choose the letter C that's the answer

Answer:

$30.23 is the total bill including tax. You should give the server one $20 bill, one $10 bill, one $1 bill, and 3 pennies.

Step-by-step explanation:

Answer:

Step-by-step explanation:

28.52*6%=1.71 tax

28.52+1.71= 30.23 total

20+20+5+5+.05= 50.05

31.03 to the server; 1 twenty, 1 ten, 1 one and 3 pennies

Answer:

41/200

This is solved and put in standard form

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

x + 46

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define expression

4(-8x + 5) - (-33x - 26)

Step 2: Simplify

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

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

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

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

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

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

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

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

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Greetings from Brasil...

In a trigonometric function of Cosine, we have:

where

A = move the graph up or down

B = change the amplitude

M = change period

N = move the graph left or right without distorting it

According to the statement, we don't have A and N, so

F(X) = ± B.COS(MX)

According to the graph presented, we have:

B = amplitude = 2.5 = 5/2

period = π

detail that

Period = 2π/M

π = 2π/M ⇒ M = 2

As B = 5/2 and M = 2, then

(I used the cosine function, because in X = 0  Y will have a non-zero value, as we can see in the graph)

Answer:

The equation would be y=250x

Step-by-step explanation:

They are making 250 tables a day (x)

we put the x next to the 250 because that number will change everyday.

y would equal our total

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer:

Step-by-step explanation:

\(\frac{2-\iota\sqrt{3} }{2+\iota\sqrt{3} } =\frac{2-\iota\sqrt{3} }{2+\iota\sqrt{3} }\times \frac{2-\iota \sqrt{3} }{2-\iota \sqrt{3} } \\=\frac{(2-\iota\sqrt{3} )^2}{2^2-(\iota\sqrt{3} )^2} \\=\frac{4+3 (\iota)^2-4\iota \sqrt{3}}{4-3\iota^2} \\=\frac{4-3-4\iota\sqrt{3}}{4+3} \\=\frac{1}{7} -\frac{4 \sqrt{3}}{7} \iota\)

Using proportions, and considering that the points are M(x1,y1) and J(x2,y2), the coordinates of C are given by:

C = [7/8(x2 - x1), 7/8(y2 - y1)]

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We consider that the points are M(x1,y1) and J(x2,y2), hence the point that is at 7/8 of the distance between them is found applying the proportion of 7/8, that is:

C = [7/8(x2 - x1), 7/8(y2 - y1)]

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Answer:

7.84

Step-by-step explanation:

783.68

\(783.63 \div 100 = 7.8363\)

Approx to 7. 84

Answer:

2/3 or 66.7%

Step-by-step explanation:

there are 6 possible options. 2 of them are red. 6 options minus 2 = 4=4/3=2/3

The general solution for the equation 5tan(θ) - 6cos(θ) = 0 is:

θ = sin⁻¹(2/3) + nπ, where n is an integer.

To determine the general solution of the trigonometric equation 5tan(θ) - 6cos(θ) = 0, we can use algebraic manipulation and trigonometric identities to simplify and solve for θ.

Starting with the given equation:

5tan(θ) - 6cos(θ) = 0

First, we can rewrite the tangent function in terms of sine and cosine:

5(sin(θ)/cos(θ)) - 6cos(θ) = 0

Next, multiply through by cos(θ) to eliminate the denominator:

5sin(θ) - 6cos²(θ) = 0

Using the identity sin²(θ) + cos²(θ) = 1, we can express cos²(θ) as 1 - sin²(θ):

5sin(θ) - 6(1 - sin²(θ)) = 0

Expanding and rearranging terms:

5sin(θ) - 6 + 6sin²(θ) = 0

Rearranging the equation:

6sin²(θ) + 5sin(θ) - 6 = 0

Now, we have a quadratic equation in terms of sin(θ).

We can solve this quadratic equation by factoring or using the quadratic formula.

However, since this equation is not easily factorable, we will use the quadratic formula:

sin(θ) = (-b ± √(b² - 4ac)) / 2a

For our equation:

a = 6, b = 5, c = -6

Plugging these values into the quadratic formula and simplifying, we get:

sin(θ) = (-5 ± √(5² - 4(6)(-6))) / (2(6))

sin(θ) = (-5 ± √(25 + 144)) / 12

sin(θ) = (-5 ± √169) / 12

sin(θ) = (-5 ± 13) / 12.

This gives us two possible solutions for sin(θ):

sin(θ) = (13 - 5) / 12 = 8/12 = 2/3

sin(θ) = (-13 - 5) / 12 = -18/12 = -3/2

Since the range of the sine function is -1 to 1, the second solution (-3/2) is not valid.

Now, to find the values of θ, we can use the inverse sine function (sin⁻¹) to solve for θ:

θ = sin⁻¹(2/3)

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Answer:

Step-by-step explanation:

254cm

\(\huge\text{Hey there!}\)

“\(\large\textsf{2,540mm converted to into [blank] cm}\)”

\(\large\textsf{= 2,540 millimeters into [blank] centimeters}\)

\(\large\textsf{= 2,540 millimeters into }\mathsf{\dfrac{2,540}{10}} \large\textsf{ centimeters}\)

\(\mathsf{\dfrac{2,540\div 10}{10\div10}}\\\\\mathsf{= \dfrac{250}{1}}\\\\\mathsf{= 250\div 1}\\\\\mathsf{= 250}\)

\(\large\textsf{= 2,540 millimeters into [250] centimeters}\)

\(\huge\boxed{\textsf{Therefore, your answer SHOULD be: 250cm}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The future value (FV) of the loan after 12 months, after the monthly compounding at an interest rate of 5.9%, is about $8977.98.

For one to be able to calculate the future value (FV) of the loan, one need to use the formula for compound interest which is:

FV = PV x (1 + r)ⁿ

Where:

PV = Present value (loan amount)

      = $8,465

r = Monthly interest rate

= 5.9% / 12

= 0.004917

n = Number of compounding periods

 = 12 (months)

Pmt = Monthly payment (unknown)

So by  Using these values, one can calculate the future value (FV) of the loan and thus:

FV = $8,465 x (1 + 0.004917)¹²

=  $8,465 x  1.0606

= $8977.98

So, the future value (FV) of the loan after 12 months, as at the monthly compounding at an interest rate of 5.9%, is about $8977.98.

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hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

(-5, 2)

Step-by-step explanation:

(-5, y)

-5 is in the x place, and so replace x with -5

-5 - 5y = -15

-5y - 5 = -15

-5y - 5 (+5) = -15 (+5)

-5y = -10

-5y/(-5) = -10/(-5)

y = 2

(-5, 2) is the final answer.

In the missing box, put 2.

The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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Answer:

it will take him 30 weeks

Step-by-step explanation:

2 weeks = 1 kilogram lost

105-90=15

1 x 15 = 15

2 x 15 = 30