De las siguientes fracciones cuál es mayor 2/3 1/2 3/4 4/5

Answer:

vertical....

Step-by-step explanation:

NawfSide 38 Baby

Answer:

B vertical compression

Step-by-step explanation:

edge :)

Answer:

Step-by-step explanation:

You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).

The slope formula is used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-2))/(8 -2) = 3/6 = 1/2

The slope-intercept equation can be rearranged to give the y-intercept:

  b = y - mx

  b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)

The slope-intercept form equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

Using the found values, the equation is ...

  y = 1/2x -3

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Step-by-step explanation:

For y=g(x) and y = f(x), we can set f(x) = g(x) and go from there.

\(4(2)^{-x} +3 = 8-2^{x}\\4 (2)^{-x} - 5 = -2^{x}\\\)

Here, we simply subtracted 8 from both sides

Next, we can substitute u in for 2^x to get

4 * (1/u) - 5 = -u

4/u - 5 = -u

Multiply both sides by u

4 - 5u = -u²

Add u² to both sides

u² -5u +4 = 0

Factor

(u-4)(u-1) = 0

We now know that our solutions to this are u = 4 and u = 1, so we must figure out when 2^x = 4 and 2^x = 1. We can then figure out that 2² = 4 and 2^0 = 1, so our answers are 2 and 0 for the second question.

For the first, we can simply plug 2 and 0 into f(x) to get (2,4) and (2,7) as our answers

The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

Answer:

175,275 rupees

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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As a result, the original discounted price is $1 while the weekly normal price is $9.

The fundamental formula for calculating a reduction is to increase the initial price by the provided percentage rate in decimal form. We must deduct the reduction from the initial price to determine the item's sale price.

From the given information, we have:

d + 6x = 55 (discounted price for 7 weeks)

d + 11x = 100 (discounted price for 12 weeks)

We can solve this system of equations by eliminating d. Subtracting the first equation from the second, we get:

5x = 45

Dividing both sides by 5, we get:

x = 9

Substituting x = 9 into one of the equations, we can solve for d. Using the first equation, we get:

d + 6(9) = 55

d + 54 = 55

d = 1

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Answer:  \(y=\frac{13}{2} x+3\)

Step-by-step explanation:

Remember the point-slope equation which is \(y-y_{1} = m(x-x_{1} )\)  where\((x_{1} , y_{1} )\) is your point and \(m\) is your slope.

Given that we substitute what you have:

\(y-(-10) =\frac{13}{2} (x - (-2))\)

Minus and minus give us positive:

\(y+10 =\frac{13}{2} (x +2)\)

Multiply slope into the parenthesis:

\(y+10= \frac{13}{2}x + \frac{13}{2}*2\\\)

Calculate it:

\(y+10= \frac{13}{2}x +13\)

Isolate the \(y\) by subtracting 10 from both sides:

\(y=\frac{13}{2} x + 13 -10\)

Your final equation is:

\(y=\frac{13}{2} x +3\)

Hope this makes sense!

And here's the graph to prove that the line actually goes through the point \((-2,-10)\):

Find the volume of the rectangular prism

where L = 2/3mm

width w = 2/3mm

height = 1 3/4 = 7/4mm

Answer:

12 people are need to walk 24 dogs

Step-by-step explanation:

12/2=6

24/2=12

Answer:

12 people can walk 24 dogs.

Step-by-step explanation:

Given information,

→ 6 people can walk 12 dogs.

→ People required for 24 dogs = ?

Let us assume that,

→ Missing value = p

Forming the equation,

→ 6/12 = p/24

Then the value of p will be,

→ 6/12 = p/24

→ p/24 = 6/12

→ p × 12 = 6 × 24

→ 12p = 144

→ p = 144/12

→ [ p = 12 ]

Hence, the value of p is 12.

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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The value of a and b in the given complex expression is  1/10 and -1/10 respectively.

This is a problem related to the complex numbers. The complex numbers has a general form of (a+bi) where 'i' is the imaginary number or √-1. The part without an 'i' is called Real Part and the part with an 'i' is called Imaginary Part.

(2i/2+i) - 3i/(3+i) = a + bi

{ 2i(3+i) - 3i(2+i) }/ (2 + i)(3 + i) = a+bi

6i + 2i² - 6i - 3i² / (2 + i)(3 + i) = a+bi

(-2 + 3) / (6 + 5i - 1) = s+bi

1 / (5 + 5i) = a+bi

Now we multiply top and bottom by 5 - 5i :

5 - 5i / (5 + 5i)(5 - 5i) = a+bi

5 - 5i / 25 -25i² = a+bi

5 - 5i / 50 = a+bi

1/10 - 1/10i = a+bi

On comparing the real and imaginary part on the both sides:

a= 1/10 , b= -1/10.

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Hey there!☺

\(Answer:\boxed{6}\)

\(Explanation:\)

If x is equal to 4, then you will have to multiply 6 by x which is 4.

\(6*4=24\)

Now subtract 18 from 24.

\(24-18=6\)

\(6x-18=6\)

6 is your answer.

Hope this helps!☺

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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(A) The rate of making coffee by coffee maker  is 6 mL/second.

(B) The rate of making juice by juice maker is 8 mL/second.

(C) Juice is being made at a faster rate.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The rate of coffee made by coffee maker is represented by,

y = 6x       (1)

Here, y represents the amount of coffee in mL and x represents the time passed in seconds.

Also, The rate of juice made by juice make can be represented by the given table as,

k = 8h     (2)

Here, k represents the amount of juice in mL and h represents the time passed in seconds.

(A)

To find the rate of making coffee, solve the equation (1),

y = 6x

⇒ y/x = 6 mL/second

The rate of making coffee by coffee maker  is 6 mL/second.

(B)

To find the rate of making juice, solve the equation (2),

k = 8h

⇒ k/h = 8 mL/second

The rate of making juice by juice maker is 8 mL/second.

(C)

Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.

Therefore, juice is being made at a faster rate.

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Answer:

It is 5x - 9 = 21

Step-by-step explanation:

OOF DELTA MAtH suCKS

After simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.

We are given the algebraic expression:

9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }

We need to simplify the expression.

For this, we will use the BODMAS rule.

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

So, simplifying the expression, we get that:

9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }

= 9 { 9 b - [ 2 - 27 b + 15 ] }

= 9 { 9 b - 2 + 27 b - 15 }

= 9 { 9 b - 2 + 27 b - 15 }

= 81 b - 18 + 243 b - 135

= 324 b - 153

Therefore, after simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.

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Thus, the coordinates of R in rectangular form are (x, y) = (-5/√2, 5/√2).

To identify the coordinates of the point in polar form based on the given conditions, we need to use the following polar coordinate system:In the polar coordinate system, a point is located by its distance from the origin and the angle it makes with the positive x-axis, also known as polar angle.

The distance from the origin is denoted by r and the polar angle is denoted by θ. The coordinates of a point in polar form are written as (r, θ).Here are some examples of how to identify the coordinates of a point in polar form:Example 1:

Find the coordinates of the point P with rectangular coordinates (2, 3).Solution: We can use the following formulas to find the polar coordinates: r = √(x² + y²) and θ = tan⁻¹(y/x). Therefore, we have:

r = √(2² + 3²) = √13θ = tan⁻¹(3/2)

Thus, the coordinates of P in polar form are

(r, θ) = (√13, tan⁻¹(3/2)).

Example 2: Find the coordinates of the point Q with rectangular coordinates (-4, -4).Solution: We can use the following formulas to find the polar coordinates:

r = √(x² + y²)

and

θ = tan⁻¹(y/x).

Therefore, we have:r =

√((-4)² + (-4)²) = 4√2θ = tan⁻¹((-4)/(-4)) = tan⁻¹(1) = π/4

Thus, the coordinates of Q in polar form are (r, θ) = (4√2, π/4).Example 3: Find the coordinates of the point R with polar coordinates (5, 3π/4).Solution: We can use the following formulas to find the rectangular coordinates: x = r cos θ and y = r sin θ. Therefore, we have:x

= 5 cos(3π/4) = -5/√2y = 5 sin(3π/4) = 5/√2

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Answer:

a) 9000 gam

Step-by-step explanation:

Answer:

a) 9000 grams

Step-by-step explanation:

1 kg=1000 g

9*1000=9000

Como no tenemos tabla, vamos a utilizar una tabla propia:

Número de 1/4 gal Pintura amarilla: 0 1 2 3 4

Número de 1/4 gal Pintura roja: 0 2 4 6 8

Para calcular cuantos cuartos de galón de pintura amarilla se necesitan para hacer este tono de naranja si se utilizan 9 cuartos de galón de pintura roja usaremos la Regla de Tres:

Si por cada 4 cuartos de galón de pintura roja necesitamos 2 cuartos de galón de pintura amarilla, para 9 cuartos de galón de pintura roja, necesitamos:

Necesitamos 4.5 cuartos de galón de pintura amarilla.

Answer:

Hope this helps :)

Step-by-step explanation:

8(x - 2) = 2x + 8

y+9 = -2(y + 1)

value of x in 8(x - 2) = 2x + 8

x=4

substitue

y+9=−2(y+1)

value of y y+9=−2(y+1)

y= - 11/3 or 3.66...

x=4

y=4 (I rounded 3.66)

Answer:

56

Step-by-step explanation:

8 / 5 = 1.6

72 / 45 = 1.6

35 x 1.6 = 56

*check* 56 / 35 = 1.6

Answer:

Step-by-step explanation:

The volume is found by multiplying all the sides of the rectangular shape.

Thus the volume = 6 * 8 * 10 = 480 cubic feet

Hope that helps!

Answer:

480 cubic feet

Step-by-step explanation:

The volume of any prism is Bh, where B = AREA of the base and h = height of prism.

We're given:

Now, we solve the volume.

Therefore, the answer is 480 cubic feet.

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

Answer:

0.5x - 0.3 = 0.3

0.5x = 0.3 + 0.3

0.5x = 0.06

x = 0.06/0.5

x = 0.12

here is the value of x