A storage container measures 3 ft by 6 ft and is 5 ft high. What is the volume of this container in cubic yards?

Answer: 8575/2

Step-by-step explanation:

actually the answer is yellow

After calculation, we know that rate of growth of the seed is 2/9 feet in 1 month which is in proper fraction.

Take the current number and subtract it from the prior value to determine the growth rate.

The growth rate is then expressed as a percentage by multiplying the difference by the previous number and dividing by 100.

The three types of growth identified by the Harrod-Domar model are warranted growth, real growth, and the natural rate of growth.

The economy cannot continue to develop at this rate indefinitely or without experiencing a downturn, which is known as the warranted growth rate.

The annual increase in a country's real GDP rate is known as actual growth.

So, we know that the seed grows:

2/3 foot in 3 months

Then, the rate of growth in 1 month was:

= 2/3 ÷ 3

= 2/3 ÷ 3/1

= 2/3 * 1/3

= 2/9 foot

Therefore, after calculation, we know that rate of growth of the seed is 2/9 feet in 1 month which is in proper fraction.

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After performing the test, the calculated p-value was 0.062. Since the p-value is greater than the significance level of 0.10 (α), the decision is to fail to reject the null hypothesis.

The χ² goodness of fit test was conducted to determine if the proportions of M&M colors in a selected bag match the claimed distribution by Mars Inc. The observed counts of each color were compared to the expected counts based on the claimed percentages.

After performing the test, the calculated p-value was 0.062. Since the p-value is greater than the significance level of 0.10 (α), the decision is to fail to reject the null hypothesis. Therefore, there is not enough evidence to conclude that the proportion of M&Ms in the selected bag differs significantly from what Mars Inc. claims.

The χ² goodness of fit test is used to assess whether observed data follows an expected distribution. In this case, the expected distribution is based on the claimed proportions provided by Mars Inc.

The observed counts of M&M colors (Brown: 21, Red: 22, Yellow: 22, Orange: 12, Green: 17, Blue: 14) were compared to the expected counts derived from the claimed percentages (Brown: 30%, Red: 20%, Yellow: 20%, Orange: 10%, Green: 10%, Blue: 10%).

The χ² test statistic is calculated by summing the squared differences between observed and expected counts, divided by the expected counts. The degrees of freedom for this test are determined by the number of categories minus one (df = 6 - 1 = 5).

After calculating the χ² test statistic, the corresponding p-value is obtained. The p-value represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis (H0) is true. In this case, the null hypothesis is that the proportions of M&M colors in the selected bag match the claimed distribution.

Comparing the calculated p-value (0.062) to the predetermined significance level (α = 0.10), we find that the p-value is greater than α. Therefore, there is insufficient evidence to reject the null hypothesis. Consequently, the decision is to fail to reject the null hypothesis. This means that the observed proportions of M&M colors in the selected bag do not significantly differ from what Mars Inc. claims.

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The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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Given the linear inequality graph, which two statements are true include the following:

B) The graph represents y < −1/3(x) + 5.

D) All points in the blue area are solutions.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 - 7)/(3 + 6)

Slope (m) = -3/9

Slope (m) = -1/3

At data point (3, 4) and a slope of -1/3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 4 = -1/3(x - 3)  

y - 4 = x/3 + 1

y = x/3 + 5

y < x/3 + 5

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The values of x where f has a relative maximum are -1 and 3. The answer is D, -1 and 3 only.

To determine the values of x where the function f has a relative maximum, we need to analyze the sign of the derivative in the neighborhood of each critical point.

The critical points of f correspond to the values of x where the derivative is equal to zero or undefined. In this case, the derivative is undefined only at x = -1, where there is a vertical asymptote.

To find the values of x where the derivative is zero, we set f'(x) = 0 and solve for x:

\(f'(x) = x(x-3)^2\)(x+1) = 0

This equation is satisfied when x = 0 or x = 3, since these are the only values that make one of the factors equal to zero. Therefore, these are the only two critical points of f.

Next, we can use the first derivative test to determine the nature of each critical point. This involves checking the sign of the derivative in the interval to the left and right of each critical point.

For x = -1, the derivative is undefined to the left and right, but we can still examine the sign of f'(x) in the vicinity of -1. For example, if we consider values of x slightly to the left of -1 (say, x = -1.1), we see that f'(x) is negative. Similarly, if we consider values of x slightly to the right of -1 (say, x = -0.9), we see that f'(x) is positive. This means that f has a relative maximum at x = -1.

For x = 0, the derivative is negative to the left and positive to the right. This means that f has a relative minimum at x = 0.

For x = 3, the derivative is positive to the left and negative to the right. This means that f has a relative maximum at x = 3.

Therefore, the values of x where f has a relative maximum are -1 and 3. The answer is D, -1 and 3 only.

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this is your answer...........

Answer:

18 bags

Step-by-step explanation:

the ratio of the chips to the candy is  :36/54 =4/6=2/3

it means for 2 bags of chips , you will put 3 candy bars

you will need 18 bags with no food left

Answer:

C and F

Step-by-step explanation:

2×2+6×2=16

×=2

C ) 2×2+6×2+9=25 ×=2

F) (2+3)2=25 ×=2

The degree measure in radians is -π/4 and the radian measure in degrees is -45°.

To convert a degree measure to radians, we can use the formula: radians = degrees * (π/180).
To convert a radian measure to degrees, we can use the formula: degrees = radians * (180/π).

For the given measure of -45°, we can convert it to radians using the formula:
radians = degrees * (π/180)
radians = -45° * (π/180)
radians = -45π/180
radians = -π/4

To convert -π/4 radians to degrees, we can use the formula:
degrees = radians * (180/π)
degrees = -π/4 * (180/π)
degrees = -45°

Therefore, the degree measure in radians is -π/4 and the radian measure in degrees is -45°.

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Write properties of circle:

classify: circle

equation in general form: \(x^2+y^2+6y+24x+144=0\)

equation in standard form: \((x+12)^2 + (y+3)^2 = 9\)

center: \((-12,-3)\)

radius: \(3\)

diameter: \(\bold{6}\)

area: \(9\pi\)

circumference: \(6\pi\)

domain: \(-15\leq x\leq -9\)

range: \(-6\leq y\leq 0\)

Therefore, the diameter of the equation \(\bold{(x+12)^2 + (y+3)^2 = 9}\) is 6

Answer:

Its already a decimal because its no longer a fraction.

Step-by-step explanation:

35000/1 = 35000 or 35000.0

Unless you have:

35000/10 = 3500.0

35000/100 = 350.00

35000/1000 = 35.000

35000/10000 = 3.5000

and so on...

Answer:

It's already a decimal

Step-by-step explanation:

Also there is no "and" signifying the decimal point, so i can't really help, sorry

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

\(m^{5} \times m^{4} = m^{5+4} = m^{9}\)

Answer:

Step-by-step explanation:

Simplify this problem by dividing all three terms by 2:

x^2 + 20 = -4x

Rewrite this in standard form:

x^2 + 4x + 20

Take the coefficient of the x term and divide it by 2:  4/2 = 2

Square this result:  2^2 = 4

Between x^2 + 4x  and  20  add this 4, then subtract it:

x^2 + 4x + 4 - 4

Rewrite x^2 + 4x + 4 as the square of a binomial:

(x + 2)^2 - 4, or (x + 2)^2 = 4

Answer:

it's answer is definitely 8

Step-by-step explanation:

-4 (x-2) + 6x

or, -4x + 8 + 6x

or, 2x + 8

so definitely answer is 8

The number is 10x + y = 10 + 39 = 49.

Let the ten's digit be x and the unit's digit be y.

The number is 10x + y.

The number formed by reversing its digits is 10y + x.

10x + y + 10y + x = 99

21x + 2y = 99

Five added to the number yields 4 less than 6 times the sum of its digits.

10x + y + 5 = 6(x + y) - 4

10x + y + 5 = 6x + 6y - 4

11x - 5y = 1

We can solve the system of equations 21x + 2y = 99 and 11x - 5y = 1.

Multiplying the first equation by 5 and the second equation by 21, we get:

105x + 10y = 495

231x - 105y = 21

Adding the two equations, we get 336x = 516

Dividing both sides by 336, we get x = 1.

Substituting x = 1 in the equation 21x + 2y = 99, we get 21 + 2y = 99

2y = 78

y = 39

Therefore, the number is 10x + y = 10 + 39 = 49.

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Answer:

T = 80

U = 20

W = 20

X = 80

Step-by-step explanation:

If two sides of a triangle is equal then it is isosceles and it's base angles are equal as well

Answer:

note 1: total interior angles of a triangle is 180°

note 2: two arrows on opposite sides represents, they have same angle

solve 1:

m∠QPR = 180° - 20° - 80° = 80°

solve 2:

as m∠UST = m∠UTS = 80° because as its an isosceles triangle

m∠SUT = 180° - 80° - 80° = 20°

solve 3:

as m∠XVW = m∠XWV = 20° because as its an isosceles triangle

m∠VXW = 180° - 20° - 20° = 140°

In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Teaching two step equations is a standard that needs to be taught in both 7th and 8th grade middle school PreAlgebra Math.

Two step equations are algebraic equations that can be solved in exactly two steps and gives the final answer of the variable in two steps. Generally two step equations are of the form ax + b = 0  where a and b are real numbers.

A two-step equation is an equation that requires two steps to solve. We must eliminate any constant that is on the same side as the variable first. To solve first use the inverse operations to isolate the variable by itself. We can do only one operation in single step.

Now

we solve two steps equation in grade 7th and 8th.It is very easy to understand.

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For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

44 miles

Step-by-step explanation:

Given that:

Required average = 35 miles

The distances (in miles) of your rides in the first four days are 45, 33, 27, and 26

Distance needed on the 5th day to qualify:

Let 5th distance required = x

Take the Average of all 5 distances:

(45 + 33 + 27 + 26 + x) / 5 = 35

(131 + x) / 5 = 35

131 + x = 35 * 5

131 + x = 175

x = 175 - 131

x = 44

Keith found that the product of 31.5 and 5.3 is 160.15

Keith's strategy for finding the product is breaking the numbers into parts and then adding the results.

The product of 21.5 and 5.3 is

(20 + 1 + 0.5) × (5 + 0.3) = (20 × 5) + (20 × 0.3) + (1 × 5) + (1 × 0.3) + (0.5 × 5) + (0.5 × 0.3) = 100 + 6 + 5 + 0.3 + 2.5 + 0.15 = 114.95

When multiplying 31.5 by 5.3, Keith used a similar approach, breaking the numbers into parts and then adding the results. Specifically, he expanded the terms as (31 + 0.5)(5 + 0.3), added the partial products, and then rounded the result to two decimal places.

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Answer:

.6 gallons per minute

Step-by-step explanation:

3/5=.6

Answer:

f(x)=11

Step-by-step explanation:

f(x)=12-4+3

f(x)=8+3

f(x)=11

Using expression 2300*12.6577, Claudine have 29,112.71 pesos i.e. B.

What exactly are expressions?

Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are examples of mathematical operators. For example, x + y is an expression in which x and y are terms separated by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which include simply numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, which is x. In a mathematical expression, this proposition is expressed as x/2 + 6. Complex riddles are solved using mathematical expressions.

Now,

Given that 1 U.S. dollar = 12.6577 Mexican pesos

Claudine gave =2300+55=$2355

but $55 is fee. so, she will not get money in exchange for $55.

Therefore, she has now=2300*12.6577 Mexican pesos

=29112.71 pesos

hence,

          Claudine have 29,112.71 pesos.

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Answer:

31). Maximum height = 100 feet

32). Time to hit the ground = 5 seconds

Step-by-step explanation:

31). Equation modeling the height 'h' of the ball is,

     h = -16t² + 80t

     For the maximum height of the ball,

     Find the derivative of 'h' with respect to time 't' and equate it to zero.

     \(\frac{dh}{dt}=\frac{d}{dt}(-16t^2+80t)\)

          \(=-32t+80\)

     \(\frac{dh}{dt}=0\)

     \(-32t+80=0\)

     \(t=\frac{80}{32}\)

     \(t=2.5\) seconds

     That means after 2.5 seconds ball will reach the maximum height.

     By substituting \(t=2.5\) in the equation,

     \(h=-16(2.5)^2+80(2.5)\)

     \(h=100\) feet

     Therefore, maximum height achieved by the ball is 100 feet.

32). If the ball follows the parabolic path,

      Time taken by the ball to reach the maximum height = Time taken by  the ball to come back to the ground from the maximum height.

      Time taken by the ball to hit the ground = 2(2.5) = 5 seconds

The solution to the inequality are the region in the shaded area and the graph is attached

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

y ≥3(0.8)^x

y ≥ x² - 5

Represent properly

y ≥ 3(0.8)^x

y ≥ x² - 5

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)

None of the options represent the shaded area (see attachment)

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