It takes 10 workers 5 days to finish a road repair when working 2 hours a day! How many days would it take 2 people working it at 5 hours a day to complete it?

Answer: 6x2y3(2x2y)3

=48x^8 y^6

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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Answer:

interest = $5040

total= $6090

Step-by-step explanation:

1050 × .16 = 168

168 × 30 = $5040

$1050+ $5040 = $6090

Answer:

Exponential Growth

Step-by-step explanation:

The base of 1.88 is greater than 1, so there will be exponential growth

Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

Option B is correct

Step-by-step explanation:

area of rectangle=4×12=48

12-6=6

area of triangle=6×4=24/2=12

Hi, hope I help!

-- This is a right triangle. So you KNOW that

(one leg)² + (other leg)²  =  (hypotenuse)²

-- Also, since the acute angles are equal, the legs must be equal ... both x .

-- Plugging into the formula:

x² + x² = (4)²

2x²  =  (4)²

2x²  =  16

x²  =  8

√x²  =  √8

x  =  √8

x = √(4 · 2)

x = √4  ·  √2

x  =  2 · √2

(That's choice D)

Answer: 7 = 12. 8 = 20. 9: 30 10 = 12. 11 = 24 12 = 15.

Step-by-step explanation:

Hope this helps :D I'm pretty sure they are all right if there not I'm sorry I tried

Answer:

here you go

Step-by-step explanation:

the last one is "Each point (or pair) in a proportional relationship must share the same difference."

Answer:

Step-by-step explanation:

Given :  Statement about proportional relationships  

To Find : Which statement is False

Solution:

proportional relationships

y ∝ x

=> y = kx    

Comparing with line line of equation

y = mx + c

m = k  , c = 0

Hence A proportional relationship must graph as a line

TRUE

at x = 0 , y = 0

Hence graph of a proportional relationship must pass through (0, 0).

TRUE

y = kx  

=> y/x = k  hence

Each point (or pair) in a proportional relationship must share the same ratio.

Each point (or pair) in a proportional relationship must share the same difference.

Answer:

114 has the greatest value

Answer:

65/100 that is the answer to this question

Example 1: For Δ ABC, show that AB = AC and Δ ABC is isosceles if the bisector AD of ∠ A is perpendicular to side BC. Also, this condition satisfies the properties of the isosceles triangles.

thus, Δ ABC is an isosceles triangle.

Example 2: Prove that △ACF≅△AEB, if ∠C=∠E and AC=AE.

Answer:

0.595

Step-by-step explanation:

I multiplied 1.7 by 35 and moved the decimal.

Answer

A - 30

B - 70

C - 30

D - 120

E - 30

Step-by-step explanation:

This is off the top of my head

Answer:

Step-by-step explanation:

help with both of these!

What is the part in the equation “45 is 15% of what number”?

The probability that a random bird chosen from among these is NOT a duck is 0.67

Given the total number of birds = 262

No of geese = 65

No of ducks = 84

No of robins = 113

We need to find the probability that a random bird chosen from among these is not a duck is

P ( not a duck ) = (total number of birds  - no of ducks) / total number of birds

                         =  262 - 84 / 262

                         =  178 / 262

                          = 0.67

The probability that a random bird chosen from among these is NOT a duck is 0.67.

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Answer:

C) The range is 70.

Step-by-step explanation:

How to find range:

Subtract the lowest value from the highest value and there's your answer

Answer:

b

tep-by-step explanation:

The correct option is C) m = 0; b = 9. The slope and y-intercept of the linear equation y = 9 are m = 0; b = 9.

To explain step by step:

In summary, the slope of the linear equation y = 9 is 0, indicating a horizontal line, and the y-intercept is 9, representing the point where the line intersects the y-axis.

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The value of the function  (f - g)(x) is x² + 3x + 5

A function is defined as a relation between a set of inputs having one output each.

In a simpler terms, a function relates input and output.

Therefore, let's solve the function (f - g)(x)

f(x) =  √16x⁴

g(x) = 3x² - 3x - 5

Therefore,

(f - g)(x) = f(x) - g(x)

(f - g)(x) = √16x⁴ - (3x² - 3x - 5)

(f - g)(x) = √16x⁴ - 3x² + 3x + 5

(f - g)(x) = 4x² - 3x² + 3x + 5

Therefore,

(f - g)(x) = x² + 3x + 5

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Answer: x = - 10

Step-by-step explanation:

    We will use the equation given, substitute -1,000 in for y, and solve.

y = x³

(1,000) = x³

\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)

- 10 = x

x = - 10

Start by positioning the points a and b, remembering that b is greater than a.

now graph individually the x>a and x

Now the region that both graphs share together will be the graph for x>a and x

The difference is that in the yellow graph it is infinite and on the green one is delimited by a and b.

(3x-5)/2 = 8

3x - 5 = 2 × 8

3x - 5 = 16

3x = 16 + 5

3x = 21

x = 21/3

x = 7

Answer:

Step-by-step explanation:

Equation

(3x - 5)/2 =  8                         Multiply both sides by 2

2*(3x - 5)/2 = 8 * 2                Combine

3x - 5 = 16                             The 2s on the left cancel. Add 5 to each side

3x - 5 + 5 = 16+5                    Combine

3x = 21                                    Divide both sides by 3

3x/3 = 21/3

x = 7

Answer: x = 7

Answer:  \((-\infty, 7)\)

You can write this as (-infinity, 7) if you aren't able to use the infinity symbol.

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

Explanation:

Think of x < 7 as writing \(-\infty < x < 7\)

So x is between negative infinity and 7, excluding both endpoints.

To write \(-\infty < x < 7\) in interval notation, we write \((-\infty, 7)\)

The curved parenthesis tell us to exclude the endpoint.

The P-value for the hypothesis test is 0.1034 .Round to two decimal places, the P-value is 0.10

To find the P-value for this hypothesis test, we need to use the sample proportion of on the road cars that are 10 years or older, which is the number of cars in the sample that are 10 years or older divided by the total number of cars in the sample. In this case, the sample proportion is \(\frac{357}{1500}= 0.238.\)

We can then use this sample proportion to calculate the P-value, which is the probability of observing a sample proportion as extreme as the one we have seen, or even more extreme, given that the null hypothesis is true. In this case, the null hypothesis states that the true proportion of on the road cars that are 10 years or older is 0.25, so we need to calculate the probability of seeing a sample proportion as low as 0.238, or lower, if the true proportion is actually 0.25.

To do this, we can use a one-sided test, since we are only interested in the probability of seeing a sample proportion lower than 0.25. We can use a normal approximation to the binomial distribution to calculate the P-value.

The standard error of the sample proportion is given by the formula:

SE \(= \sqrt\frac {p \ * (1 - p)}{n}\)

Where p is the null hypothesis value for the proportion (0.25 in this case) and n is the sample size (1500 in this case). Plugging these values into the formula gives us:

SE = \(\sqrt\frac{0.25 * (1 - 0.25)}{1500}= 0.0158\)

The z-score for the sample proportion is then given by the formula:

z =\(\frac{ (p - p_0)}{SE}\)

Where p is the sample proportion (0.238 in this case) and p0 is the null hypothesis value for the proportion (0.25 in this case). Plugging these values into the formula gives us:

\(z = \frac{(0.238 - 0.25)}{0.0158} = -1.27\)

We can then use the z-score to calculate the P-value. Since we are performing a one-sided test, we only need to consider the probability of seeing a sample proportion lower than 0.25. This is given by the area under the normal curve to the left of the z-score. We can use a z-table or a calculator to find this probability.

The probability for a z-score of -1.27 is about 0.1034. This is the P-value for the hypothesis test.

Round to two decimal places, the P-value is 0.10

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