The landscaper pours 200 gallons of herbicide in a pond. The herbicide degrades 11% each week.Write an equation to find the amount of herbicide in any given week.How much will be in the pond after 2 weeks?The landscaper will put another dose in the pond when the herbicide level drops below 50 gallons. In about how many weeks will he need to add more herbicide?

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer:

Examples of 2D shapes

2D Shape Properties

Pentagon A shape with five sides and five equal angles.

Kite A quadrilateral with two pairs of sides of the same length.

Rhombus A quadrilateral with both pairs of opposite sides parallel and all sides of the same length. Unlike a square, however, its angles are not all 90˚.

Step-by-step explanation:

Answer:

Combine like terms:

(5x + 3x) (2y + 4y)

8x + 6y is your algebra expression.

Answer:

37.237%

Step-by-step explanation:

Use the Formula I = P x R x T

P = Principal amount (the beginning balance).

R = Interest rate (usually per year, expressed as a decimal).

T = Number of time periods (generally one-year time periods).

Plug in the values

I = 5305 x R x 20

Solve for R by dividing 20 by 5305

I=5305 x R x 20

20 / 5305 = 0.0037

Answer: 10.56 or 10.6 %

Step-by-step explanation:

5305 x x^20 = 39534

39534/5305 = x^20

20√39534/5305 = x

x = 1.1056

1.1056 x 100 = 110.56

110.56 - 100 = 10.56 or 10.6

The students need to earn $182 per month in order to accomplish their goals.

Division is the process of dividing a number by a given number.

Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.

To collect $910 in 5 months, students must earn $910/5 per month.

910/5

= 182

Hence, the students need to earn $182 per month in order to accomplish their goals.

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Rested numbers in group is 33 out of 76.

A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.

Total numbers in a group = 76.

44% of them were rested.

That is 44% of 76.

To find how many are rested we have to find the value in numbers.

Convert 44% of 76 to numbers.

For this, it can be written as

\(\frac{44}{100} *76\) = 33.44

Therefore 44% of 76  ≅ 33 numbers.(approximately)

Hence, rested numbers in group is 33.

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

25 students

Step-by-step explanation:

Answer:

25 students

Step-by-step explanation:

80% of 80% com by public transportation, it's 64% (0.8 x 0.8)

75% of 64% take the bus, it's 48%  (0.64 x 0.75)

75% of 48% buy monthly passes, it's 36%  (0.75 x 0.48)

0.36x = 9    (nine students buy monthly passes)

x = 25 (students)

Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

\(g(x) = -\sqrt{9(x - 1)} + 2\)

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Answer:

163

Step-by-step explanation:

2(7)^2+9(7)+2=

2(49)+63+2=163

Answer:

x = 24

Step-by-step explanation:

Let us use BODMAS:

1) -6*(10-x) = 84 → (Let's multiply -6 with what's in the brackets)

2) -60 + 6x = 84 → (Now, we have to isolate the -6x. Therefore, we have to move the -60 to the other side. When we move any negative to the other side, it turns positive.)

3) 6x = 84 + 60 → (We have to add 60 to 84)

4) 6x = 144 → (We now just need x alone. Therefore, to get rid of the 6, we have to divide 144 by 6)

5) x = 24

Answer:

y=-3/4x-5

Step-by-step explanation:

1.find the slope 1-(-8)/-8-4=-3/4

2.y-(-8)=-3/4(x-4)

  y+8=-3/4x+12/4

  y+8=-3/4x+3

 y=-3/4x+3-8

 y=-3/4x-5

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

w = 42

Step-by-step explanation:

A linear pair is a pair of adjacent angles which add up to 180 degrees(supplimentary).

Given m<1 = w + 5, m<2 = 3w + 7, and the fact that m<1, and m<2 form a linear pair. This relationship can be given by:

m<1 + m<2 = 180.

To solve just substitute the expressions given by the angles, and solve.

m<1 + m<2 = 180

| |

v v

(w+5)+(3w+7) = 180 →

4w + 12 = 180

-12 -12

___________

4w = 168

÷4 ÷4

_______

w = 42

Answer:

The best choice is Option B. 2x^2 - 2

Step-by-step explanation:

As you can see in the graph below, all the values from the table match the function mentioned in Option B, which is 2x^2 - 2.

Answer:

5

Step-by-step explanation:

im notv sure

Here is the correct question

Gin Rummy and are holding 10 cards in your hand from a standard deck of 52 cards.

a) How many ways can you select three kings and four 6's from the deck, the remaining cards not kings or 6's

b) Find the probability that three kings and four 6's are being held by you from the deck.

Answer:

a) 52976

b) \(\mathbf{3.34866744 \times 10^{-6}}\)

Step-by-step explanation:

So from the information above,

no of ways three kings can be selected and four 6's from the deck without the remaining cards being kings or 6's can be expressed as:

no of ways to select 3 kings from 4 kings is \((^4_3)\)

no of ways to select 4 6's from (4 6's) is \((^4_4)\)

no of ways to select the remaining 3 cards from (52 - 4 - 4) = 44 cards is \((^{44}_3)\)

Mathematically, multiplying the three together we have:

\(= (^4_3) (^4_4) (^{44}_3)\)

\(= \dfrac{4!}{3!(4-3)!} \times \dfrac{4!}{4!(4-4)!} \times \dfrac{44!}{3!(44-3)!}\)

\(= 4 \times 1 \times 13244\)

= 52976

To find the probability that you are holding three kings and four 6's from the deck, the remaining cards not kings or 6's can be calculated as follows;

To do this, we need to first know the no of ways we can  select 10 cards out of the pack of 52 cards

i.e

\((^{52}_{10})\)

= \(\dfrac{52!}{10!(52-10)!}\)

= \(\dfrac{52!}{10!(42)!}\)

= 1.58200242 × 10¹⁰

Now, to find the  probability that you are holding three kings and four 6's from the deck, the remaining cards not kings or 6's :

we will need to divide the number of ways we can select three kings and four 6's from the deck by the no of ways we can select 10 cards out of the pack of 52 cards.

Mathematically; we have,

\(=\dfrac{52976}{1.58200242 \times 10^{10}}\)

= \(\mathbf{3.34866744 \times 10^{-6}}\)

Answer: 2.5

Step-by-step explanation: r= sqrt(V/pi*h)

sqrt(171/(8.7)(3.14)

Step-by-step explanation:

solution given.:

radius=[r] let

height[h]=8.7in

volume[V] of cylinder=171in³

π=3.14

we have

volume[V] of cylinder=πr²h

171=πr×8.7

r²=\( \frac{171}{3.14×8.7}\)

r=\( \sqrt{6.26} \)

r=2.5in

so radius is 2.5in

Answer:

2:11

Step-by-step explanation:

you need to understand the question and then write this.

Answer:

20:11

2cm=20mm

Therefore the amount of white fabric to the amount of coloured fabric used is 20:11 because the highest common factor of 20 and 11 is 1 so the ratio cannot be simplified further.

i think this is what the question meant but if i interpretated it wrongly u can tell me :)

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

b equal for the top of the bookcase to have the correct area= 5 cm2

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

L × b = 300

b = 300 / L

b = 300 / 60 = 5

Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.

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Answer:

The slope between (-5,1) and (4,4) is 1/3

Step-by-step explanation:

When you're given 2 points and you must find the slope between those 2 points, you can find the distance between the y values and the x values.

For example in this case, the distance in our first y value is 3. So we know that y is always above x so we have 3/x so far.

Next to find the x values you do the exact same, and we get a distance of 9 from -5 to +4.

Now we have 3/9 which should be simplified to 1/3. When plotting this point, you'll use the strategy Rise over Run or Rise/Run.

(Side Note: Y is always above X so we know the Rise must be Y and the X must be Run.)

Y/X = Rise/Run

Hope this helps! :)

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer: 6?

Step-by-step explanation:

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Answer:

r= -0.1

Step-by-step explanation:

p = regular price of a sandwich

1.5 = discount

Price of 1 sandwich = p-1.5

Price of 3 sandwich = 3 (p-1.5)

The equation of the function g(x) is g(x) = f(x+3) + 4 and g(x) = log₂(x+3) + 4

To shift the function 3 units left, we replace x with x+3. To shift it 4 units up, we add 4 to the function.

Therefore, the expression for g(x) in terms of f(x) is:

g(x) = f(x+3) + 4

Substituting f(x) = log₂(x), we get:

g(x) = log₂(x+3) + 4

The equation of the function g(x) is g(x) = log₂(x+3) + 4.

The domain of g(x) is all x such that x+3 > 0, since the argument of the logarithm must be positive.  This gives x > -3.

The range of g(x) is all real numbers, since the logarithm takes on all real values.

The vertical asymptote is x = -3, since this is where the function becomes undefined (the argument of the logarithm becomes 0).

The horizontal asymptote is y = 4, since as x approaches infinity or negative infinity, the function approaches 4.

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