Carry out the indicated operations and simplify where possible:


\(x(8x-8y)^-^1+y(8y-8x)^-^1\)

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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The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer: i think its the last one bc if you multiply 9 and 3 in its gets you 18

Step-by-step explanation:

Answer:

V=(1/3)πr²h

v=

\( \frac{1}{3} \times {3}^{2} \times 9 \times \pi \\ = 27\pi\)

27pi in³

27pi in³First option

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The length of the square in centimetres in algebraic expression is 25m

The perimeter of a square is m meters.

The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:

Therefore,

perimeter of a square = 4l

where

Therefore,

m = 4l

where

l = m / 4 meters.

Therefore, the side length of the square in centimetres is as follows:

1 meters = 100 cm

m / 4 meters  = ?

cross multiply

length of the square in meters = m / 4 × 100

length of the square in meters = 100m / 4

length of the square in meters = 25m

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If pοint J is lοcated abοve line y=1, then pοint J' must be lοcated belοw line y=1 by the same distance. Sο, tο plοt pοint J', we can draw a hοrizοntal line passing thrοugh the pοint where y=1 and mark a pοint οn that line that is the same distance belοw it as pοint J is abοve it.

A hοrizοntal line is a line that gοes left-tο-right οr right-tο-left. We οften think οf a hοrizοntal line as being the οppοsite οf a vertical line.

In cοοrdinate geοmetry, a hοrizοntal line is parallel tο the x-axis οn the cοοrdinate plane. Belοw is the graph οf a vertical line that has a y-intercept οf (0, k).

Hοrizοntal lines are alsο knοwn as sleeping lines. It has nο vertical mοvement and remains at a cοnstant height frοm the grοund.

In cοοrdinate geοmetry, hοrizοntal lines are thοse lines that are parallel tο the x-axis. In geοmetry, we can find hοrizοntal line segments in many shapes, such as quadrilaterals, 3d shapes, etc. In real life, we can find hοrizοntal lines οn the steps οf the staircase, planks οn railway tracks, etc.

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The equation for the coordinate points given is obtained as \(y = x + 4\).

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first two coordinate points are given as -

(4,8) and (5,9)

The slope intercept form of the equation is -

\(y = mx + b\)

Here, the slope is represented by the variable m and the y-intercept is represented by the variable b.

The formula for finding the slope of the equation is -

\(m = (y_2 - y_1) / (x_2 - x_1)\)

Substitute the values in the equation -

\(m = (9 - 8) / (5 - 4)\)

\(m = 1/1 = 1\)

The value for slope is obtained as 1.

The equation becomes - \(y = x + b\).

Now to find the y-intercept b by substituting any one of the coordinate points in the equation.

\(y = x + b\\8 = 4 + b\\b = 8 - 4\\b = 4\)

The value for y-intercept is obtained as 4.

The equation becomes - \(y = x + 4\).

Therefore, the equation for is obtained as \(y = x + 4\).

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Answer:

no answer

Step-by-step explanation:

1, -2 ; 1, -4 : -4-2/1-1 = no solution

Using a system of equations, the number of children and adults who attended the movies is as follows:

A system of equations is two or more equations solved concurrently.

A system of equations is also known as simultaneous equations.

The total number of people who went to the movies = 100

The unit cost of adult tickets = $4

The unit cost of children tickets = $2

The total sales = $276

Let the number of children who attended the movies = x

Let the number of adults who attended the movies = y

x + y = 100 ... Equation 1

2x + 4y = 276 ... Equation 2

Multiply Equation 1 by 2:

2x + 2y = 200 ... Equation 3

Subtraction Equation 3 from Equation 2:

2x + 4y = 276

-

2x + 2y = 200

2y = 76

y = 38

Substitute y = 19 in equation 1:

x + y = 100

x + 38 = 100

x = 62

Check in Equation 2:

2x + 4y = 276

2(62) + 4(38) = 276

124 + 152 = 276

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Answer:

a) \(P(X=2)=(4C2)(0.375)^2 (1-0.375)^{4-2}=0.330\)  

b) \(P(X\geq 2)=1-P(X< 2)=1-[P(X=0)+P(X=1)]\)

\(P(X=0)=(4C0)(0.375)^0 (1-0.375)^{4-0}=0.153\)  

\(P(X=1)=(4C1)(0.375)^1 (1-0.375)^{4-1}=0.366\)  

And replacing we got:

\(P(X\geq 2)=1-P(X< 2)=1-[0.153+0.366]=0.481\)

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

\(X \sim Binom(n=4, p=0.375)\)  

The probability mass function for the Binomial distribution is given as:  

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)  

Where (nCx) means combinatory and it's given by this formula:  

\(nCx=\frac{n!}{(n-x)! x!}\)  

Part a

\(P(X=2)=(4C2)(0.375)^2 (1-0.375)^{4-2}=0.330\)  

Part b

\(P(X\geq 2)=1-P(X< 2)=1-[P(X=0)+P(X=1)]\)

\(P(X=0)=(4C0)(0.375)^0 (1-0.375)^{4-0}=0.153\)  

\(P(X=1)=(4C1)(0.375)^1 (1-0.375)^{4-1}=0.366\)  

And replacing we got:

\(P(X\geq 2)=1-P(X< 2)=1-[0.153+0.366]=0.481\)

Answer:

x = 2, x = -3/2

Step-by-step explanation:

Factors to be (x-2)(2x+3) = 0

x =2, x = -3/2

Answer:

Step-by-step explanation:

2x²-x-6=0

2x²-(4-3)x-6=0

2x²-4x+3x-6=0

2x(x-2)+3(x-2)=0

(x-2)(2x+3)=0

Answer: 13

Step-by-step explanation:

4x+3y=-5 solve x :    

4x = -3y + -5           | -3y

1x = -0.75y + -1.25  | : 4

-3x + 7y = 13 solve x :

-3x + 7y = 13              | -7y

-3x = -7y = 13             | : (-3)

Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333

-0, 75y - 1,25 = 2,333y - 4, 333 solve y:

-0, 75y - 1,25 = 2,333y -4, 333    | -2,333y

-3, 083y - 1,25 = -4,333               | + 1, 25

-3. 083y = -3,088                         | : (-3, 083)

y = 1

Plug y = 1 into the equation 4x + 3y = -5 :

4x + 3 · 1           | Multiply 3 with 1

4x + 3 = -5        | -3

4x = -8              | : 4

x = -2

So the solution is:

y = 1, x = -2

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Janet ran 100 meters in 15 seconds. How long did she take to run 2 meters?

Solution:

100/15 = y/2

Solve for y.

y = (15/100)(2)

y = 0.3

Answer: She took 0.3 seconds.

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

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Answer:

C. 7°F

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

this will include all people and not just a specific group like all in a certain grade/s or all in the same class

Answer: break them up into parts

Step-by-step explanation:

Answer:

100% increase

Step-by-step explanation:

0.1 to 0.2

0.1 = 100% (original number)

0.2 - 0.1 = 0.1

0.1 = 100%

Answer:

Step-by-step explanation:its ratxrat

...

The zeros of the divisor,

x-3=0,x=3

f(3)=4(3)²-3-3=30

The remainder is 30

The value of this constant, by assuming that the pressure at some reference height y₀ is p₀, is p - p₀ = p.g(y₀ - y).

dp = -pg dy

At height y = y₀ and p = p₀

∫dp = ∫-pg dy

⇒p = -pgy + C        Eqn(1)

Where c is the constant of integration

We know that y = y₀ and p = p₀

⇒p₀ = -pgy₀ + C

⇒C = p₀ + pgy₀

Put the value of C in Eqn(1)

⇒p = -pgy + p₀ + pgy₀

⇒p - p₀ = -pgy + pgy₀

⇒p - p₀ = pg(y₀ - y)

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Given the inequality :

Add 5 to both sides :

So, we need to select the numbers that less than 77

so,

The answer will be the options :

D. 76 1/2 , because 76 1/2 < 77

E. 76 , because 76 < 77

Answer:

\(4.8 * 4.8 = 23.04\\2 * 2 = 4\\\rightarrow 23.04 - 4 = 19.04\\\\\rightarrow 27.12 - 19.04 = 8.08\)

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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the sum of the measures of the exterior angles of a 32-gon is d. 5400

Answer:

x = 13

Step-by-step explanation:

2(x + 18) and (3x + 79) are a linear pair and sum to 180° , that is

2(x + 18) + 3x + 79 = 180

2x + 36 + 3x + 79 = 180

5x + 115 = 180 ( subtract 115 from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

Answer:

x = 13

Step-by-step explanation:

Given angles are,

→ 3x + 79°

→ 2(x + 18)° = 2x + 36°

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of all angles in a line is 180°.

Forming the equation,

→ (3x + 79°) + (2x + 36°) = 180°

Then the value of x will be,

→ (3x + 79°) + (2x + 36°) = 180°

→ 3x + 79° + 2x + 36° = 180°

→ (3x + 2x) + (79 + 36)° = 180°

→ 5x + 115° = 180°

→ 5x = 180° - 115°

→ 5x = 65

→ x = 65/5

→ [ x = 13 ]

Hence, the value of x is 13.

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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The required mean will increase to about 12.6 when another student of age 15 joins the class, and the correct answer is C.

The original mean is the sum of the ages divided by the number of students:

Mean = (10 + 10 + 11 + 12 + 12 + 13 + 13 + 14 + 14 + 15) / 10

Mean = 124 / 10

Mean = 12.4

If another student of age 15 joins the class, the new sum of the ages is:

Sum = 10 + 10 + 11 + 12 + 12 + 13 + 13 + 14 + 14 + 15 + 15

Sum = 139

The new mean is the new sum of ages divided by the new number of students:

New mean = Sum / (Number of students + 1)

New mean = 139 / 11

New mean = 12.63636... or about 12.6 (rounded to one decimal place)

Therefore, the mean will increase to about 12.6 when another student of age 15 joins the class, and the correct answer is C.

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The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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Answer:

An airplane which has airspeed of 575 hm/hr head directly east the win is blowing with a velocity of 8.20 km/hr

Step-by-step explanation:

Answer: 2 3/8

I got an A

Answer:

2 + 3/8

Step-by-step explanation:

Therefore we get 19 / 8 = 2 + 3/8 , which is written as 2 3/8 , called a mixed number. To convert 19/8 you do division; 8 into 19 goes 2 times with 3 left over; so 2 3/8.