You have also decided to put a pool in your backyard, and the builder has shown you the blue print below that shows the pool from above.

Answer:

185

Step-by-step explanation:

Total area is 27 x 10= 270

unshaded are is 17x5= 85

270 - 85 = 185 (total shade area)

Answer:

75

Step-by-step explanation:

Count By Two's

25=2 minutes

50=4 minutes

75=6 minutes

Answer:

I think it is 4 but, im not sure

it will take 26 minutes to flush the line at 25 gpm

Answer:

A)

Step-by-step explanation:

Starting point is at o and ending point at 2.

So, 2 in

Answer:

Jul 11, 2016 · - Gush Tela, a 54-year-old man who was forced to flee with his family after the town of Humera, located in Ethiopia's Tigray region, was shelled by the Ethiopian Army. He was describing the scene he encountered as he returned to the town several days later; he and his family are now in a refugee camp in Sudan (as quoted on The Guardian )

Step-by-step explanation:

We can see here that the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent is = 9.8%.

Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.

The probability of an event can be calculated using the following formula:

Probability = Favorable Outcomes / Total Outcomes

The number of possible passwords is:

26 × 26 × 26 × 26 × 26 × 26  = 308,915,776.

The number of passwords with no repeated letters is

26P6 = 30,260,000.

The probability of a password having no repeated letters is

= 30,260,000 / 308,915,776 = 0.09779 = 9.78%.

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The original side length of the square is 6 inches.

Let's say that the original side length is S, then the original area is:

A = S²

If we cut 3 inches of the side length, then the new area is:

a = (S - 3)²

And this is 1/4 of the original area, so we can write the equation:

(S - 3)² = (1/4)*S²

Expanding it we will get:

S² - 6S + 9 = (1/4)*S²

4S² - 24S + 36 = S²

3S² - 24S + 36 = 0

So we have a quadratic equation to solve

Using the quadratic formula we will get:

\(S = \frac{24 \pm \sqrt{(-24)^2 - 4*3*36} }{2*3} \\\\S = \frac{24 \pm 12}{6}\)

The positive answer is the one that makes sense (we could not take 3 inches if we take the other one)

S = (24 + 12)/6 = 6

The original side length is 6 inches.

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Answer:

If 75% of the animals on Grandmother's farm are hens, and there are 15 hens on the farm, then we can use the following equation to find the total number of animals on the farm: 15 hens / .75 = <<15/.75=20>>20 animals

There are 20 animals on Grandmother's farm.

Answer:

no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

Let x = the hours she work

Equation-

1.  20x + 12 = 172

2.         - 12   - 12

     20x = 160

3.   /20    /20

4.  x= 8 hours

1. Write out the equation

2. subtract 12 from both sides

3. Divide 20 on both sides

4. Your answer is 8 hours

She should come to work on time and work at least 8 hours to earn $ 172 a day.

Given that a computer engineer is paid $ 20 per hour and $ 12 for coming to work on time, to determine how many hours must she work to earn a minimum of $ 172, the following calculation must be performed:

Therefore, she should come to work on time and work at least 8 hours to earn $ 172 a day.

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Answer:

If f(x) = +4, which of the following is the inverse of f(x)?

O A. ƒ˜¹(x) = 2(2+4)

B. ƒ˜¹(x) = 7(2-4)

C. ƒ˜¹(x) = 7(2+4)

D. f¯¹(x) = ²(2-4)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

translation :

140% of x = $63

x = $63 ÷ 1.4

x = $45

FUN FACTS :

interesting: 100% means double that number or times 2

if a price is $20 & it increases 100% in price that means its $20 times 2 or $40

percent means per 100

cent means 100 in latin

that's why the decimal moves 2 spaces

for the 2 zeros in 100

chatgpt

Answer:

k≥12

Step-by-step explanation:

if k's smallest amount is 12, k has to be bigger (greater than) or equal to 12

therefore:

k≥12

The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

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Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

What is one to one function?

One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then function f is one to one.

The function, f(x), is a one to one function when one unique element from its domain will return each element of its range. This means that for every value of x, there will be a unique value of y or f(x).

f ( x₁ ) = f ( x₂ ) if and only if x₁ = x₂

Given data ,

Let the function be f ( x )

where f ( x ) = y

So , the equation will be

y =  2 ( x + 5 )² - 6

Now , on simplifying the equation , we get

y = 2 ( x² + 10x + 25 ) - 6

y = 2x² + 20x + 50 - 6

y = 2x² + 20x + 44

Therefore , the function is f ( x ) = y = 2x² + 20x + 44

Now , replace y with x , we get

f ( y ) = x = 2y² + 20 y + 44

And f ( x₁ ) = f ( x₂ )

So , the function is one to one function

Hence , The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

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Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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

Answer:

y=6x+8

Step-by-step explanation:

Write in slope-intercept form, y=mx+b.

i believe it is 6: but I dont know for sure

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use:

nCr = n! / r! * (n - r)!

here n = 8

r = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)

8C2

8! / 2! * (8 - 2)!

56/2

28

So, 8C2 = 28

Answer:  3.4 miles per day

Step-by-step explanation:

Add all together then divide by total number of people...

(0x2)+(1x1)+(3x4)+(4x2)+(5x3)+(6x2)=

0+1+12+8+15+12=48

48 total miles walked 14 people walked

48/14=3.42 average

rounded to nearest tenth...

3.4 miles per day

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Answer:

Step-by-step explanation:

The two base angles are equal.

The vertex angle is 8x

The two base angles are 5x + 5x

The sum of all three angles = 180 degrees (all triangles make 180 degrees when their interior angles are added).

5x + 5x + 8x = 180

18x = 180

x = 180/18

x = 10

Therefore the vertex angle is 8*10 = 80 degrees

One of the base angles = 10* 5 = 50 degrees

The other base angle = 50 because the triangle is isosceles.

Answer:

you divide the big number by the little number

Step-by-step explanation:

d) By the product rule,

\(y = 5 e^x \sin(x) \implies \dfrac{dy}{dx} = \dfrac{d5}{dx} e^x \sin(x) + 5 \dfrac{de^x}{dx} \sin(x) + 5 e^x \dfrac{d\sin(x)}{dx}\)

The derivative of a constant is 0; the derivative of \(e^x\) is \(e^x\); the derivative of \(\sin(x)\) is \(\cos(x)\). So

\(\dfrac{dy}{dx} = \boxed{5 e^x \sin(x) + 5 e^x \cos(x)}\)

e) Rewrite \(\sqrt x = x^{1/2}\). By the product rule,

\(y = \sqrt x\,e^x = x^{1/2} e^x \implies \dfrac{dy}{dx} = \dfrac{dx^{1/2}}{dx} e^x + x^{1/2} \dfrac{de^x}{dx}\)

By the power rule,

\(\dfrac{dx^{1/2}}{dx} = \dfrac12 x^{1/2-1} = \dfrac12 x^{-1/2}\)

Then

\(\dfrac{dy}{dx} = \boxed{\dfrac{e^x}{2\sqrt x} + \sqrt x\,e^x}\)

f) By the product rule,

\(y = (1 + \sin(x)) \tan(x) \implies \dfrac{dy}{dx} = \dfrac{d(1+\sin(x))}{dx} \tan(x) + (1+\sin(x)) \dfrac{d\tan(x)}{dx}\)

The derivative of \(\tan(x)\) is \(\sec^2(x)\). So

\(\dfrac{dy}{dx} = \cos(x)\tan(x) + (1 + \sin(x)) \sec^2(x)\)

which we can simplify using

\(\tan(x) = \dfrac{\sin(x)}{\cos(x)}\)

and expand to get

\(\dfrac{dy}{dx} = \boxed{\sin(x) + \sec^2(x) + \tan(x) \sec(x)}\)

Answer: its not D I got it wrong, I hope that helps in some way:)

Step-by-step explanation:

The mass after 1 thousand years from now is 77.6mg , Option A is the right answer.

It is the spontaneous decay of a nucleus of an unstable nucleus of an atom.

Applying the decay formula

P(t) = P₀ \(\rm e^{-kt}\)

where P(t) = the quantity of the substance after t years

P₀ = Initial quantity of the substance

k is the decay constant

It is given that

P₀ = 119.7 mg

k = 0.4332

P(t) = ?

when t = 1000 years

Therefore

\(\rm P(t) = 119.7 * e^{- 0.4332 * 1000/1000}\\\\P(t) = 77.6 mg\)

Therefore Option A is the right Answer , 77.6mg

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A factory makes parts for toys in different quantities, then the cost of 11 parts would be $4.95.

A mathematical formula known as a cost function can be used to determine the overall cost of production for a given quantity of goods produced. We'll go into more detail about the cost function below. representation of unit expenses in relation to the production of 1 or more units during a construction project.

A cost function is a mathematical formula that shows how production costs will vary depending on the output level. In other words, it makes an estimate of the overall cost of production based on the quantity that will be produced.

$0.90÷2 = $0.45

To get the cost of 11 parts,

$0.45 × $11

= $4.95

Therefore, the correct answer is $4.95.

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Complete question:

A factory makes parts for toys in different quantities, as shown in the table. How much would 11 parts cost?