What is the area, in square feet, of the rectangle shown below?

Answer:

all you got to do at the Sheldon also picks tomatoes from his garden.  He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away.  How many kilograms of tomatoes were not rotten?  Write an equation that shows how you reached your answer.

Step-by-step explanation:

Sheldon also picks tomatoes from his garden.  He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away.  How many kilograms of tomatoes were not rotten?  Write an equation that shows how you reached your answer.

Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

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The gallon of water required by Dakota to fill the pool will be given as:-

V(x) = 2x⁶ + 10x⁴.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Given that:-

The function which will represent the gallons of water will be:-

As it is given in the question the pool is of a rectangular shape so the volume of the pool will be calculated as:-

V = Area of the rectangular part x depth

V = ( 2x⁴ + 10x ²) ( x² )

V = 2x⁶ + 10x⁴.

Since the amount of the water will be equal to the volume of the pool so the function for the gallons will be given as;-

V (x) = 2x⁶ + 10x⁴.

Therefore gallon of water required by Dakota to fill the pool will be given as:-V(x) = 2x⁶ + 10x⁴.

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Answer:

247.5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First, we solve 9x9-10/2=35.5

35.5-5=30.5

9x30.5=274.5

Please give brainliest.

Have a great day/night!

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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Step-by-step explanation:

-2 is x1

9 is y1

4 is X2

-1 is y2

m= -1-9/4-(-2)

-10/6 =-1.6

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Brittany is sharing number of \(\frac{1}{15}\)s with her sister = 6

Step-by-step explanation:

Let the shell collection of Brittany = x

She is giving \(\frac{2}{5}\) of her shell collection to her sister.

Therefore, shells received by her sister = \(\frac{2x}{5}\)

\(\frac{1}{15}\)th of her shell collection = \(\frac{x}{15}\)

Number of \(\frac{1}{15}\)s her sister received = \(\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}\)

                                                         = \(\frac{\frac{2x}{5}}{\frac{x}{15} }\)

                                                         = \(\frac{2x}{5}\times \frac{15}{x}\)

                                                         = 6

Therefore, number of \(\frac{1}{15}\) received by her sister = 6

Answer:

x = 20

Step-by-step explanation:

We know that the vertically opposite angles are equal.

Accordingly,

41 = 2x + 1

Subtract 1 from both sides.

41 - 1 = 2x

40 = 2x

Divide both sides by 2.

x = 20

Answer:

90% confidence interval for the difference between the two population means

( -23.4166 , -6.5834)

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 100

Given mean of the first sample x₁⁻ = 178

Standard deviation of the sample S₁ = 35

Given second sample size n₂= 100

Given mean of the second sample x₂⁻ = 193

Standard deviation of the sample S₂ = 37

Step(ii):-

Standard error of two population means

        \(se(x^{-} _{1} -x^{-} _{2} ) = \sqrt{\frac{s^{2} _{1} }{n_{1} }+\frac{s^{2} _{2} }{n_{2} } }\)

       \(se(x^{-} _{1} -x^{-} _{2} ) = \sqrt{\frac{(35)^{2} }{100 }+\frac{(37)^{2} }{100 } }\)

        \(se(x^{-} _{1} -x^{-} _{2} ) = 5.093\)

Degrees of freedom

ν  = n₁ +n₂ -2 = 100 +100 -2 = 198

t₀.₁₀ = 1.6526

Step(iii):-

90% confidence interval for the difference between the two population means

\((x^{-} _{1} - x^{-} _{2} - t_{\frac{\alpha }{2} } Se (x^{-} _{1} - x^{-} _{2}) , x^{-} _{1} - x^{-} _{2} + t_{\frac{\alpha }{2} } Se (x^{-} _{1} - x^{-} _{2})\)

(178-193 - 1.6526 (5.093) , 178-193 + 1.6526 (5.093)

(-15-8.4166 , -15 + 8.4166)

( -23.4166 , -6.5834)

There are 4 pounds and 6 pounds of each variety of birdseed are used in the mixture.

What is birdseed mixture?

More flaked maize, sunflower seeds, and peanut granules are present in the better mixtures. Blackbirds are quick to eat flaked maize, while house sparrows, dunnocks, finches, reed buntings, and collared doves are mostly drawn to small seeds like millet.

Given:

Two pounds of mixed birdseed sells for $7.53 per pound.

The mixture is obtained from two kinds of birdseed, with one variety priced at $5.61 per pound and the other at $8.81 per pound.

Bird seed I 5.61 ----------------x pounds

Bird seed II 8.81 ----------------10-x pounds

Total 7.53% ---------------- 10

5.61x+8.81(10-x)=7.53*10

5.61x + 88.1 - 8.81x = 75.3

            88.1 - 75.3 = 8.81x - 5.61x

                      12.8 = 3.2x

                           x = 4

x = 4 pounds of 5.61%

6 pounds of 8.81%

Hence, there are 4 pounds and 6 pounds of each variety of birdseed are used in the mixture.

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The slope of a line is positive with a value of 3/2 or 1.5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The slope of a line is used to describe the steepness and direction of the line.

Mathematically, the formula for the slope of a line is given as;

slope = Δy / Δx

where;

The slope equation is expanded as follows;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

From the graph, the values of x and y is determined as;

( x₁, y₁ ) = ( - 2, 0 )

( x₂, y₂) = ( 0, 3 )

The slope of the line is calculated as follows;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3 - 0 ) / ( 0 - - 2)

m = 3 / 2

m = 1.5

Thus, the line has a positive slope.

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The complete question is below:

What is the slope of the line? type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is

y = 14.7 x 0.827^x

The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi

To write an exponential equation for the relationship between the air pressure and the elevation above the Earth's surface, we can use the form y = a x b^x,

where y is the air pressure,

x is the elevation,

and a and b are constants.

We can use the data given in the problem to find the values of a and b.

Let y = air pressure (psi)

x = elevation (feet)

We know that at sea level (x = 0), y = 14.7 psi

At Denver, Colorado, elevation 5280 feet, y = 12.15 psi

We can use these two points to find the values of a and b in the equation y = a x b^x

12.15 = 14.7 x b^5280

b = (12.15/14.7)^(1/5280)

b = 0.827

a = 14.7

The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is

y = 14.7 x 0.827^x

b.) To find the air pressure at the top of Mount Everest, elevation 29,000 feet, we can substitute that value for x into the exponential equation.

y = 14.7 x  0.827^29000

y = 1.931 psi

The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi. It's worth noting that this is a very low air pressure and the human body is not able to survive with such low pressure without proper equipment.

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The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

option D

Step-by-step explanation:

\(sin^2 ( \frac{3\pi}{2}) + cos^2(\frac{3\pi}{2}) = 1\\\\( -1)^2 + 0^2 = 1\)

Explanation:

\(sin x = cos( \frac{\pi}{2} - x)\\\\sin(\frac{3\pi}{2}) = cos ( \frac{\pi}{2} - \frac{3\pi}{2})\\\)

            \(=cos(\frac{\pi - 3\pi}{2})\\\\ =cos(\frac{2\pi}{2})\\\\=cos \ \pi\\\\= - 1\)

Therefore ,

               \(sin^2( \frac{3\pi}{2}) = ( - 1)^2\)

9514 1404 393

Answer:

  (x, y) → (-∞, -∞), (+∞, +∞)

Step-by-step explanation:

The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:

  x → -∞, f(x) → -∞

  x → ∞, f(x) → ∞

Answer:

Step-by-step explanation:

I believe the answer is D) f(x) = 1 / (x-3)^2

I put that into my graph calculator thing and it matched it perfectly

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

There are 6 sections in the spinner so there are 6 possible places for it to land.

How many of the spaces have a letter on them?

The probability is found by dividing the number of spaces with a letter by the total number of places the spinner can land.

Step-by-step explanation:

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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Answer:

the discount is 12.00$

Step-by-step explanation:

39.99 × 30% = 11.997

which equal 12

9514 1404 393

Answer:

  90° CCW

Step-by-step explanation:

The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.

Point A' has been rotated 90° CCW about point B.

Rate of consumption refers to the rate at which a particular resource or material is being used up. It is usually expressed as the amount consumed per unit of time, such as kilograms per hour, gallons per day, etc. The rate of consumption can be used to measure the efficiency of a process, as well as to predict future needs for the resource or material. It is also important to consider the environmental impacts of consumption, as the rate of consumption can have a significant effect on the environment if it is too high.

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The simplification of the expression, ∛8x⁴y⁸ / 125 is \(\frac{2\sqrt[3]{x^{4}y^{8} } }{5}\).

The exponential expression can be solved as follows:

Therefore, let's simplify the expression.

To simplify the expression we have to deal with the exponential by applying it laws and also the cube root.

∛8x⁴y⁸ / 125

let's solve them individually,

125 = 5³ = 5 × 5 × 5

8 = 2³ = 2 × 2 × 2

Therefore,

∛8x⁴y⁸ / 125 = \(\frac{2\sqrt[3]{x^{4}y^{8} } }{5}\)

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Answer:

The closest amount paid is $23

Step-by-step explanation:

Given

\(Price = \$32\)

\(Mark\ down = 20\%\)

Amount = 10% of Marked down price

Required

Determine the amount paid

First, we calculate the marked down price P2:

\(P_2 = Price(1 - Mark\ down)\)

Substitute values for Price and Mark down

\(P_2 = \$32 * (1 - 20\%)\)

Express percentage as decimal

\(P_2 = \$32 * (1 - 0.20)\)

\(P_2 = \$32 * (0.80)\)

Remove bracket

\(P_2 = \$32 * 0.80\)

\(P_2 = \$25.6\)

The payable amount is 10% off the marked down price,

This is calculated as:

\(Amount = P_2 - P_2 * 10\%\)

Substitute $25.6 for P2

\(Amount = \$25.6 - \$25.6* 10\%\)

Express percentage as decimal

\(Amount = \$25.6 - \$25.6* 0.10\)

\(Amount = \$25.6 - \$2.56\)

\(Amount = \$23.04\)

The closest amount paid is $23