what does perpendicular mean in math?

Answer: Hence Pair( x, y) = [ 105/2, 105/2]

Step-by-step explanation:

Given that;

Among all pairs of numbers with a sum of 105;

the pair whose product is maximum = ?

so let pairs of numbers with a sum of 105 be x and y respectively

x + y = 105

let y = 105 - x

now

product = xy =  x( 105 - x ) = 105x - x²

now

p(x) = 105x - x²

for maximum value of p

dp/dx =0

⇒ dp/dx = 105 - 2x = 0

2x = 105

x = 105/2

y + x = 105

y = 105 - x

y = 105 - 105/2 = 105/2

Hence Pair( x, y) = [ 105/2, 105/2]

Answer:

hewo, im sorry if i knew how to do this, i would help...

Step-by-step explanation:

   68                                          

   /    \

 2     34

        /   \

      2    17

    92                                          

   /    \

 2     46

        /   \

      2    23

    40                                          

   /    \

 2     20

        /   \

      2    10

           /   \

         2    5      

Answer: I Hope some one helps you out

Step-by-step explanation:Y

1 gram of medicine costs 86 nairas, while a 42-hour workweek results in a salary of 27,090 nairas.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, 12.5g of medicine cost 1,075 nairas.

Since,

Cost of 12.5g medicine = 1075

Cost of 1 g medicine = 1075/12.5

Cost of 1 g medicine = 86 naira

Also given, Someone gets 645 nairas for one hour of work

the total pay for someone who works 42 hours = 645 * 42

the total pay for someone who works 42 hours =  27,090 nairas

therefore, the Cost of 1g of medicine is 86 nairas and the total pay for someone who works 42 hours is 27,090 nairas.

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Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.

In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.

In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.

In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.

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Answer:

1.6

Step-by-step explanation:

i used calculator

Answer:  1.6

Step-by-step explanation:

Answer:

30 x z

Step-by-step explanation:

Answer: 30 x z

Step-by-step explanation:

Answer:

Quad 4!

Hope I helped!

~PumpkinSPice1

Answer:

x/6=12+7

x/6=19

x=19*6

x=114

The value of the variables in the right triangle are as follows;

A right triangle is a triangle that has one of its angles as 90 degrees.

The side of a right triangle can be found by using trigonometric ratios.

Therefore, let's find the variable length of the right triangle as follows;

sin 30 = opposite / hypotenuse

sin 30 = v / 3√2

1 / 2 = v / 3√2

cross multiply

3√2 = 2v

divide both sides by 2

v = 3√2 / 2

Let's find the variable w.

cos 30 = adjacent  / hypotenuse

cos 30 = w  / 3√2

√3 / 2 = w  / 3√2

cross multiply

√3 × 3√2 = 2w

3√6 = 2w

divide both sides by 2

w = 3√6 / 2

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9514 1404 393

Explanation:

A percentage is a representation of a fraction. Just as any fraction relates a quantity to a whole, so does a percentage.

Example:

  3/5 represents 3 parts out of 5.

Its equivalent as a percentage is ...

  3/5 · 100% = 60%

which also represents 3 parts out of 5, or 6 parts out of 10, or 60 parts out of 100.

__

Note that the percent symbol (%) can be considered to be a shorthand way to write /100. Similarly, the "mils" symbol (‰) can be considered a shorthand way to write /1000. That is, 60% is fully equivalent to 60/100, and vice versa.

Answer:

Step-by-step explanation:

9x-3y=-10 ...............(1)

3x-4y=1...............(2)

multiplying equation (2) by 3

9x-12y=3...................(3)

Using elimination method, then

9x-3y=-10 ...............(1)

9x-12y=3...................(3

9y= -13

y= -13/9

substituting y= -13/9 in equation (1) then

9x-3(-13/9)= -10

9x+13/3= -10

multiplying throughout by 3

27x+13= -30

27x= -30-13

27x= -43

x= -43/27

since x and y values are known, then

12x-7y = 12(-43/27) - 7(-13/9)

12x-7y = -516/27 + 91/9

12x-7y = -9

Answer: 65

Step-by-step explanation:

The best predicted score for a student who studied two hours is 65. This is based on the linear regression equation y = 9.6x + 50.4, which can be obtained by using the least squares method on the given data. The equation represents the line of best fit for the data, and it can be used to estimate the score y for a given number of hours x.

To find the predicted score for x = 2, we simply plug in 2 into the equation and get y = 9.6(2) + 50.4 = 69.6. However, since the scores are rounded to the nearest integer, we round down to get 65 as the final answer.

We would apply the formula for finding compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A is the final amount after t years

P is the initial amount or capital

t is the number of years

n is the number of compounding

r is the interest rate

From the information given,

p = 10000

t = 7

r = 4.5/100 = 0.045

a) for semiannual compounding, n = 2(twice a year)

Thus,

A = 10000(1 + 0.045/2)^2 * 7

A = 13654.83

b) for quarter compounding, n = 4(there are 4 quarters in a year)

Thus,

A = 10000(1 + 0.045/4)^4 * 7

A = 13678.52

c) for monthly compounding, n = 12(there are 12 months in a year)

Thus,

A = 10000(1 + 0.045/12)^12 * 7

A = 13694.52

d) For continuous compounding, the formula is

A = pe^rt

A = 10000 * e^(0.045 * 7)

A = 13702.59

One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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Answer: Its 1

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

Just add left to right

Answer:

x=8

Step-by-step explanation:

the y-value in the first pair decreased by half, so the x-value must double due to inverse variation.

\(\theta = 0.1278\:\text{rad}\)

Step-by-step explanation:

The arc length S is related to the angle subtended by the is relation:

\(S = r\theta\)

where r is radius of the circular orbit. In this case the radius is

\(r = 3960\:\text{mi} + 500\:\text{mi} = 4460\:\text{mi}\)

and S = 570 mi so the angle \(\theta\) is

\(\theta = \dfrac{S}{r} = \dfrac{570\:\text{mi}}{4460\:\text{mi}}\)

\(\:\:\:\:\:= 0.1278\:\text{rad}\)

Answer:

0.37585

once again just look up the numbers on the Z table..

in this case you want the values to the LEFT of z=-.79 and to the RIGHT of z=.99

Step-by-step explanation:

-0.79 (L)0.21476  

0.99 (R)0.16109

0.37585

The numerical value of the area under the normal curve is 0.3759 if the standard deviation value is NOT between -0.79 and 0.99.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have given:

The standard deviation value = NOT between -0.79 and 0.99

= P(not between - 0.79 and 0.99)

= P( x <  -0.79) + P(x > 0.99)

= 1 - P( x < 0.79) + 1 - P(x < 0.99)

From the Z-table:

P( x < 0.79) = 0.7852

P(x < 0.99) = 0.8389

= 2 - 0.7852 - 0.8389

= 2 - 1.6241

= 0.3759

Thus, the numerical value of the area under the normal curve is 0.3759 if the standard deviation value is NOT between -0.79 and 0.99.

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The number of solutions to the equation ax + b = 0, where a = 10 and b = -4, is one.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


To find the number of solutions to the equation ax + b = 0, where a = 10 and b = -4, we need to solve the equation for x. To do this, we can begin by subtracting b from both sides of the equation, which gives us ax = 4. We can then divide both sides of the equation by a, which gives us x = 4/10. This means that the equation has one solution, which is x = 4/10. Thus, the number of solutions to the equation ax + b = 0, where a = 10 and b = -4, is one.

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Answer:

27 students

Step-by-step explanation:

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

Hello there. To solve this question, we have to remember some properties about roots of polynomials.

Given the following function:

We want to determine its roots.

For this, we want to determine the values of x such that

Then we have that

We know that a product of two values is equal to zero if and only if one of them is equal to zero.

So we have that

Subtract 6 on both sides of the first equation, we get

Divide both sides of the equation by a factor of 2

Now for the second equation, add 4 on both sides of the equation

Hence we say that the roots of this function are

This is the answer contained in the last option.

Answer:A translation is a function that moves every point a constant distance in a specified direction. A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b .

Step-by-step explanation: y=f(x)+b y = f ( x ) + b .

Answer:

B.

Step-by-step explanation:

The graph of b is a linear graph, meaning it's value will increase at the same rate. The graph of a, however, appears to be exponential. This means that a will increase at a rapidly higher rate that b over time. You can also tell by just looking. You can see graph a has overtaken b in the same amount of time.

To solve the exercise you can take the equation of the line from its standard form to its slope-intercept form:

To do this, solve for y from the given equation:

Therefore, the slope and y-intercept of the line are