40 is what percent of 32?

Answer:

A

Step-by-step explanation:

I just took This test

Answer:

36

Step-by-step explanation:

f * √g = k

12 * √64 = k

k = ± 96

g = k² / f² = (± 96)² / 16² = 36

Answer:

g = 36

Step-by-step explanation:

Given f is inversely proportional to [tex]\sqrt{g}[/tex] then the equation relating them is

f = [tex]\frac{k}{\sqrt{g} }[/tex] ← k is the constant of proportion

To find k use the condition when f = 12 , g = 64 , then

12 = [tex]\frac{k}{\sqrt{64} }[/tex] = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )

96 = k

f = [tex]\frac{96}{\sqrt{g} }[/tex] ← equation of proportion

When f = 16 , then

16 = [tex]\frac{96}{\sqrt{g} }[/tex] ( multiply both sides by [tex]\sqrt{g}[/tex]

16 × [tex]\sqrt{g}[/tex] = 96 ( divide both sides by 16 )

[tex]\sqrt{g}[/tex] = 6 ( square both sides )

g = 6² = 36

Answer:

Hello! answer: 10

Step-by-step explanation:

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10

10 × 10 = 100 therefore x = 10 hope that helps!

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Answer:

b

Step-by-step explanation:

let the original price be x.

x-20% of x= 75

= x- 0.20x= 75

= 0.8x= 75

= x= 75/0.8

=x= 93.75

Answer: the original price is $93.75

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Part (a)

Refer to the diagram below to see the two triangles separated.

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Part (b)

If the 3 meter portion is perpendicular to the horizontal portion, then the triangles are similar. We can prove this using the AA similarity theorem. One pair of angles would be the shared overlapping 25 degree angles. The other pair of congruent angles would be the two 90 degree angles. We only need two pairs of congruent angles to use AA. You could use three pairs (and the aptly named AAA theorem) but that's overkill in my book.

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Part (c)

There are a few ways to approach this, but one way is shown below

y/3 = (8.4+6.6)/(6.6)

y/3 = 15/(6.6)

6.6y = 3*15 .......... cross multiply

6.6y = 45

y = 45/(6.6)

y = 6.81818 approximately

When rounding to one decimal place, we get y = 6.8

Answer:

The total deposit amount is 225.

Step-by-step explanation:

-350 + 225 + x = 100

-125 + x = 100

x = 225

Hope this helps. :)

Stay safe, happy, and healthy. Have a great day!

the 1 is in the 10 million place

Step-by-step explanation:

5(x-3) = 0

5x-15=0

5x=15

x=15/5

x=3

i think you added the dot after 5 by mistake so yes this is how i could solve

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The answer is in the picture. Click on it.

Answer:

2.5h^2 + 21h + 36

Step-by-step explanation:

Height = h

width = 2.5h

border = 3 in.

Overall height = h+6

Overall width = 2.5h+6

Overall area

= (h+6)(2.5h+6)

= 2.5h^2 + 15h + 6h +36

= 2.5h^2 + 21h + 36

Answer:

[tex] \frac{x + 2}{3x - 1} [/tex]

Step-by-step explanation:

Things you should before solving this question :-

where a and b are any two variables.

SIMPLIFYING THE EXPRESSION

[tex] \frac{ {x}^{2} - 9 }{3 {x}^{2} + 8x - 3} \div \frac{x - 3}{x + 2} \\ [/tex]

using the identity discussed above

[tex] \frac{ (x + 3)(x - 3) }{3 {x}^{2} + 8x - 3} \div \frac{x - 3}{x + 2} [/tex]

simplifying 3x² + 8x - 3

[tex] \frac{ {x}^{2} - 9 }{3 {x}^{2} + 9x -x - 3} \div \frac{x - 3}{x + 2} [/tex]

as 8x can be written as 9x - x

[tex] \frac{ (x - 3)(x + 3) }{3 {x}(x + 3) - 1(x + 3)} \div \frac{x - 3}{x + 2} \\ \frac{ (x - 3)(x + 3) }{(3 {x} - 1)(x + 3) } \div \frac{x - 3}{x + 2} [/tex]

flipping the fraction that follows division sign and inserting multiply in place of divide

[tex] \frac{ (x - 3)(x + 3) }{(3 {x} - 1)(x + 3) } \times \frac{x + 2}{x - 3} [/tex]

canceling (x - 3) and (x + 3) as they're common in both denominator and numerator

[tex] \frac{x + 2}{3x - 1} [/tex]

The equation can be used to find the number of times Maria hiked each trail is 5x + 10y = 90

let

5x + 10y = 90

Therefore, the equation to represent the number of times Maria hiked each trail is 5x + 10y = 90

Learn more about equation:

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Answer:

5x + 10y = 90

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Of means multiply

2/5 * 3/4

Rewriting

2/4 * 3/5

1/2*3/5

3/10

Answer:

i=3/4

Step-by-step explanation:

Assuming that we are treating "i" as a variable and not the constant "i":

12+2i-i=9i+6

12+i=9i+6

12=8i+6

6=8i

8i=6

i=6/8

i=3/4

Therefore, the equation has only one real solution which is i=3/4

Answer:

- 23 and 23

Step-by-step explanation:

Absolute value is the distance from a number to zero on a number line. Absolute value is always positive.

- 23 is 23 space away from 0, and so is 23.

Answer:

mean=6+8+8+9+9+10divided 6 =

Answer:

1.

Step-by-step explanation:

The mean score is (8+6+9+9+8+8)/ 6

= 48/8

= 8.

Deviations from the mean are 0 , -2, 1, 1, 0, 0

Squares of these deviations  are 0, 4, 1, 1, 0, 0

So the variance =  (0 + 4 + 1 + 1 + 0 + 0)/ 6 =  1

Standard deviation = √1 = 1.

Answer:

Step-by-step explanation:

2x-1>9

2x-1>9=0

2x-1=0-9

2x-1=-9

2x=-9+1

x=-8/2

x=-4

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

Hope u got it :)

Step-by-step explanation:

[tex]9x^2 - 30xy + 25y^2 = (3x)^2 - 2 (15xy) + (5y)^2[/tex]

                           [tex]= (3x)^2 - 2(3x \times 5y) + (5y)^2\\\\[/tex]

[tex]This \ is \ of \ the \ form \ a^2 - 2ab + b^2 , \ that \ is \ (a-b)^2\\\\a = 3x, \ b = 5y[/tex]

[tex]9x^2 - 30xy + 25y^2 = (3x - 5y)^2[/tex]

Answer:

angke R is 70

Step-by-step explanation:

opposite angle of a parallelogram are equal.

I.e. angle C = angle R = 70

Answer:

70

Step-by-step explanation:

In a parallelogram, (I) opposite angles are congruent.

(II) Adjacent angles are supplementary.

(III) Opposite sides are equal and parallel.

(Iv)  Diagonals bisect each other

Angle R and angle C are opposite angles as they don't share any  arm's(sides).

∠R = ∠C = 70

Part A

Use the FOIL rule to expand out the expression below

(2x+7)(5x+9)

2x*5x + 2x*9 + 7*5x + 7*9

10x^2 + 18x + 35x + 63

10x^2 + 53x + 63  is the final answer for part A

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Part B

The degree is 2. This is a quadratic trinomial.

The degree is simply the largest exponent after expanding everything out. The degree directly determines the type of polynomial. Since the degree is 2, we have a quadratic. The polynomial is a trinomial because it has 3 terms.

==========================================================

Part C

Imagine we had a machine in which we deposit 2 coins into it. One would happen on either side. After the coins are deposited, a third coin pops out. The 2 coins going in and the third coin coming out are the same currency. This represents an example of closure.

In mathematics, the idea of closure is taking any two objects of the same type, applying an operation on them, and getting the same type of object as the input.

For example, we could take two whole numbers and multiply them together. The result is always a whole number. The set of whole numbers is closed under multiplication because you can't leave the set (hence the gate is closed not letting anything out).

Similarly, taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this in action because (2x+7), (5x+9) and 10x^2 + 53x + 63 are all polynomials.

[tex]\rm 10x^{2} + 53x + 63[/tex] is the expression that represents the area of the rectangle. This is a trinomial expression.

A quadratic equation is the polynomial of second degree in one variable only. The standard form of a quadratic equation is [tex]\rm ax^{2} +bx+c=0[/tex]

Where, x is the variable and a,b, and c are real numbers.

Part A

Let length of a rectangle = (2x+7)

Let width of a rectangle = (5x+9)

The area of the rectangle = length × width

=   (2x+7)(5x+9)

= 2x × 5x + 2x × 9 + 7 × 5x + 7 × 9

= [tex]\rm 10x^{2} + 18x + 35x + 63[/tex]

Therefore, [tex]\rm 10x^{2} + 53x + 63[/tex] is the expression that represents the area of the rectangle.

Part B

The degree is 2 in the expression. This is a trinomial expression.

The degree is simply the largest exponent. The degree directly represents the type of polynomial. Since the degree is 2. The polynomial is a trinomial because it has 3 terms.

Part C

Applying multiplication operations such that taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this multiplication because (2x+7), (5x+9) and [tex]\rm 10x^{2} + 53x + 63[/tex] are all polynomials.

Learn more about quadratic equations;

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Answer:

Brian sold 35 tickets

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

35/42 = 5/6

Brian sold 35 tickets

(I know this isn't part of the question, but Brain didn't sell 7 tickets)

Answer:

It's B

Step-by-step explanation:

Answer:

send wellthat questions again

Answer:

5

Step-by-step explanation:

25=5x5

Answer:

z = 5 meters

Step-by-step explanation:

since the area = 25 [tex]m^2[/tex] and the only value is z, we have to multiply a number by itself that will equal  25 [tex]m^{2}[/tex].

z × z = 25 [tex]m^{2}[/tex]

5 × 5 = 25 [tex]m^{2}[/tex]

x^2-12x+(6)^2 is correct answer

Answer:

-2

Step-by-step explanation:

they are parallel so same slope but different y intercepts

Answer:

20/10 goes to neither since it equals 2

0.02 goes to 2/100 since it is the same as 0.02

200 goes to neither because it is over 2/10 and 2/100

0.20 goes to 2/10 since 2/10 is equal to 0.20

2.0 goes to neither because it equals 2

Hope this helped

Step-by-step explanation:

Answer:

8800 (Square Millimeters)

Answer:

Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)

Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)

Physics - Convective heat transfer of an element with its surroundings. (Linear function)

Physics - Time conversion from seconds to minutes. (Linear function)

Physics - Radiative heat transfer from an element. (Quartic function)

Step-by-step explanation:

There are many examples of applications of function in real life:

Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)

[tex]y = y_{o} + v_{o}\cdot t + \frac{1}{2}\cdot a \cdot t^{2}[/tex] (1)

Where:

[tex]y[/tex] - Current position.

[tex]y_{o}[/tex] - Initial position.

[tex]v_{o}[/tex] - Initial velocity.

[tex]a[/tex] - Acceleration.

[tex]t[/tex] - Time.

Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)

[tex]k = A\cdot e^{-\frac{E_{o}}{R\cdot T} }[/tex] (2)

Where:

[tex]A[/tex] - Frequency factor.

[tex]E_{o}[/tex] - Activation energy.

[tex]R[/tex] - Ideal gas constant.

[tex]T[/tex] - Temperature.

[tex]k[/tex] - Kinetic constant.

Physics - Convective heat transfer of an element with its surroundings. (Linear function)

[tex]\dot Q = h\cdot A_{s} \cdot (T-T_{\infty})[/tex] (3)

Where:

[tex]h[/tex] - Convective constant.

[tex]A_{s}[/tex] - Surface area.

[tex]\dot Q[/tex] - Heat transfer rate.

[tex]T_{\infty}[/tex] - Temperature of the surroundings.

[tex]T[/tex] - Surface temperature of the element.

Physics - Time conversion from seconds to minutes. (Linear function)

[tex]t' = \frac{1}{60}\cdot t[/tex] (4)

Where:

[tex]t[/tex] - Time, in seconds.

[tex]t'[/tex] - Time, in minutes.

Physics - Radiative heat transfer from an element. (Quartic function)

[tex]\dot Q = \epsilon \cdot \sigma \cdot A_{s}\cdot T^{4}[/tex] (5)

Where:

[tex]\dot Q[/tex] - Heat transfer rate.

[tex]T[/tex] - Surface temperature of the element.

[tex]A_{s}[/tex] - Surface area.

[tex]\epsilon[/tex] - Emissivity.

[tex]\sigma[/tex] - Stefan-Boltzmann constant.

9514 1404 393

Answer:

  d.  AB = 54

Step-by-step explanation:

The triangle is isosceles, so AB = AC.

  (4x +6) = (5x -6)

  12 = x . . . . . . . . . . . . add 6-4x to both sides

Then the length of AB is ...

  AB = 4x +6 = 4(12) +6 = 48 +6

  AB = 54