Which would cost more: 15 trips to Boston or 11 trips to New York? Explain

Answer:

Step-by-step explanation:

Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at

the same boat speed, took her 10 min. If the current in that part of the river is 6 km per hr, what was her boat

speed in still water?

Let b+6 be downstream rate.

and b-6 be upstream rate.

Distance up = Distance down = (rate)(time)

(b+6)(1/6 hr) = (b-6)(1/2 hr)

Answer:

Step-by-step explanation:

Find 3 ratios that are equivalent to the given ratio. 5/15

1 : 5                     (0.2)

3/15                     (0.2)

4 : 20                  (0.2)

That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.

carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.

the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.

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Answer:

x = 6

y = 149

Step-by-step explanation:

2x + 19 = 4x + 7

19 - 7 = 4x - 2x

12 = 2x

x = 12/2

x = 6

6(2)+19 = 31

180 - 31 = 149

PreAlg students spend significantly less time doing homework compared to ElemAlg and InterAlg students, while there is no significant difference in homework time between ElemAlg and InterAlg students.

What is significantly ?

Significantly" is the keyword that indicates a notable or meaningful difference or result in the context of statistical analysis. It is often used to describe findings that have a high level of confidence and statistical significance, indicating that the observed difference or relationship is unlikely to have occurred by chance.

Based on the given data and statistical analysis, the conclusion is as follows:

PreAlg compared to ElemAlg:

The sample mean for PreAlg (1.32) is significantly different from the sample mean for ElemAlg (3.18) with a t-value of 5.08 and a p-value of 0.000. Therefore, we can conclude that PreAlg students spend significantly less time doing homework compared to ElemAlg students.

PreAlg compared to InterAlg:

The sample mean for PreAlg (1.32) is significantly different from the sample mean for InterAlg (4.42) with a t-value of 3.64 and a p-value of 0.003. Hence, we can conclude that PreAlg students spend significantly less time doing homework compared to InterAlg students.

ElemAlg compared to InterAlg:

The sample mean for ElemAlg (3.18) is not significantly different from the sample mean for InterAlg (4.42) with a t-value of 1.49 and a p-value of 0.163. Therefore, we fail to reject the null hypothesis, and we cannot conclude a significant difference in homework time between ElemAlg and InterAlg students.

In summary, the PreAlg students have significantly lower homework time compared to both ElemAlg and InterAlg students. However, there is no significant difference in homework time between ElemAlg and InterAlg students.

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the size of the union of the three sets is: |A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 3  × 24 million - 3 × 1.4 million + 1.2 million ≈ 69 million

A combination is a way of selecting a subset of objects from a larger set without regard to their order. The formula for the number of combinations of n objects taken r at a time is:
C(n, r) = n! / (r! ×  (n - r)!)
where n! means the factorial of n, which is the product of all positive integers up to n. For example, 5! = 5 ×  4 ×  3 ×  2 ×  1 = 120.
To apply this formula to our problem, we first need to count the total number of coins in the pile. Since there are at least 16 of each type, the minimum total is:
16 + 16 + 16 + 16 = 64
But there could be more coins of each type, so the total could be larger than 64. However, we don't need to know the exact number, only that it is large enough to allow us to choose 16 coins from it.
Using the formula for combinations, we can calculate the number of different collections of 16 coins that can be chosen from the pile:
C(64, 16) = 64! / (16! × (64 - 16)!) ≈ 1.1 billion
That's a very large number! It means there are over a billion ways to choose 16 coins from a pile that contains at least 16 of each type.
To answer the second part of the question, we need to count the number of collections that contain at least 3 coins of each type. One way to do this is to use the inclusion-exclusion principle, which says that the number of elements in the union of two or more sets is equal to the sum of their individual sizes minus the sizes of their intersections, plus the sizes of the intersections of all possible pairs, minus the size of the intersection of all three sets, and so on.
In this case, we can consider three sets:
- A: collections with at least 3 pennies
- B: collections with at least 3 nickels
- C: collections with at least 3 dimes
- D: collections with at least 3 quarters
The size of each set can be calculated using combinations:
|A| = C(48, 13) ≈ 24 million
|B| = C(48, 13) ≈ 24 million
|C| = C(48, 13) ≈ 24 million
|D| = C(48, 13) ≈ 24 million
Note that we have to choose 3 coins of each type first, leaving 4 coins to be chosen from the remaining 48 coins.
The size of the intersection of any two sets can be calculated similarly:
|A ∩ B| = C(43, 10) ≈ 1.4 million
|A ∩ C| = C(43, 10) ≈ 1.4 million
|A ∩ D| = C(43, 10) ≈ 1.4 million
|B ∩ C| = C(43, 10) ≈ 1.4 million
|B ∩ D| = C(43, 10) ≈ 1.4 million
|C ∩ D| = C(43, 10) ≈ 1.4 million
Note that we have to choose 3 coins of each type first, leaving 1 coin to be chosen from the remaining 43 coins.
The size of the intersection of all three sets can also be calculated:
|A ∩ B ∩ C| = C(38, 7) ≈ 1.2 million
Note that we have to choose 3 coins of each type first, leaving 1 coin to be chosen from the remaining 38 coins.

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Answer:

E and F

Step-by-step explanation:

(16/20 = 0.80)

14/8 = 1.75

9/10 = 0.90

8/5 =1.60

13/10 = 1.30

4/5 = 0.80

8/10 = 0.80

You have to to put the reduce the fractions and then put them in to decimal form then see if they are the same as the one you want it to be.

Answer:

once have a short glance to the above solution.

The midpoint of AB is ( -0.5 , 0)

Hello there! :)

The first step is to use the Distributive Property.

It states that

a(b+c)=ab+ac

Let's distribute 3, using this property:

3(x-6)=3x-18

Now, our inequality looks like so:

12+x≤3x-18

The next step is to move the variables to the left, using the opposite operation:

12+x-3x≤-18

12-2x≤-18

Now, move all the numbers to the right, using the opposite operation:

-2x≤-18-12

-2x≤-30

Divide both sides by -2 to isolate x.

Remember that when we divide by a negative variable, we change the inequality sign:

x≥15

Therefore, x≥15

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Let p be a prime number and q be an irreducible polynomial in Z_p[x] of degree n. The field Z_p[x]/(q) contains exactly p^n elements.

To prove that Z_p[x]/(q) contains p^n elements, we need to show that every element in the field can be represented by a unique polynomial of degree less than n. Since q is irreducible, it cannot be factored further into lower-degree polynomials. Therefore, any polynomial in Z_p[x]/(q) can be represented as a polynomial of degree less than n.

To construct an element in Z_p[x]/(q), we can take any polynomial f(x) in Z_p[x] and consider its equivalence class [f(x)] in the quotient ring Z_p[x]/(q). This equivalence class represents all polynomials that are congruent to f(x) modulo q. Since the degree of f(x) is less than n, it can have at most n coefficients in Z_p.

Each coefficient in Z_p has p possible values (0 to p-1). Therefore, there are p^n possible combinations of coefficients for polynomials of degree less than n. Hence, Z_p[x]/(q) contains exactly p^n elements.

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Answer:

b 2/7

Step-by-step explanation:

Because there is a 6/21 chance and 2/7=6/21

Answer:

\(218.18\)

Step-by-step explanation:

To find what number 96 is 44% of is we can use the formula:

\(\frac{part}{whole} =\frac{percent}{100}\)

Just substitute 94 and 44 into the equation:

\(\frac{96}{x} =\frac{44}{100}\)

\(9600=44x\\218.1818...\)

Or rounded,

\(218.18\)

To find the volume of metal needed to make one bolt, we can calculate the volume of the square nut and the volume of the threaded hole and then subtract the latter from the former, we get 2,691.062 mm^3 .

The volume of the square nut can be calculated by multiplying its length, width, and thickness. In this case, the length and width are both 20 mm, and the thickness is 8 mm. Thus, the volume of the square nut is 20 mm * 20 mm * 8 mm = 3,200 mm^3.

The volume of the threaded hole can be calculated using the formula for the volume of a cylinder. The diameter of the threaded hole is given as an average of 9 mm, so the radius is 9 mm / 2 = 4.5 mm. The height of the threaded hole is the same as the thickness of the square nut, which is 8 mm. Thus, the volume of the threaded hole is π * (4.5 mm)^2 * 8 mm = 508.938 mm^3 (approximately).

Finally, we can subtract the volume of the threaded hole from the volume of the square nut to find the volume of metal needed to make one bolt: 3,200 mm^3 - 508.938 mm^3 = 2,691.062 mm^3 (approximately).

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Answer:

9n+8

Step-by-step explanation:

9 busses, n represents the amount of students per bus. then the 8 represents the 8 who arrived separately

Answer:

depends on how many actives there are and maybe on if they preferred one over another it would get more time

Step-by-step explanation:

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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We need to know about the rate of change to solve the problem. The rate of change of the volume of the cone is 16097.52 cubic in/s

The rate of change of a quantity is the rate at which it either increases or decreases. In this question we know that the radius is increasing at a rate of 1.3 in/s, height is decreasing at a rate of 2.1 in/s, we need to find the rate of change of volume given the radius is 122 in and the height is 147 in.

volume of a cone=\(\pi r^{2}\)h/3

dV/dt=\(\pi\)/3(2rh dr/dt+\(r^{2}\) dh/dt)=\(\pi\)/3(2x122x147x1.3 -122x122x2.1)=16097.52

Therefore the change in volume is 16097.52 cubic in/s.

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Answer:

Each undershirt costs $2.99 when purchased individually.

Step-by-step explanation:

The problem says that $13.98 is $3.96 less than the cost of buying 6 individual shirts which means that the total cost of buying 6 individual shirts is $17.94.

To find the price of 1 individual shirt, you divide 17.94 by 6. When you do this, you get $2.99. $2.99 is the cost of each undershirt when purchased individually.

Hope this helps!

The parent function is

After a transformation the function g(x) was determined:

The function f(x) was multiplied by a constant k=1/7 to determine the function g(x), you can express the transformation as follows:

The fact that the function was multiplied by a constant, indicates that the transformation is a vertical dilation. To know if its a vertical stretch or a vertical compression you have to look at the magnitude of the constant:

If |k|>1, then the transformation is a vertical stretch.

If 0<|k|<1, then the transformation is a vertical compression.

For the given transformation, the constant is greater than zero but less than one, which indicates that the transformation applied was a vertical compression, the factor of the compression is given by the denominator of the fraction, which is 7.

The correct option is C.

Answer:

17 to 9

Step-by-step explanation:

I think let me know if I'm wrong

Answer:

okay 9 of marcus shoes are jordans 17 of marcus shoes arn't jordans

Step-by-step explanation:

bc if you subtract 27-9 you can get 17

Answer:

k=-4

Step-by-step explanation:

f(x) translates down 4 from g(x)

The profit per bag is approximately $2.50  and the total profit is approximately is $36 , the correct option is (c) .

In the question ,

a graph of relation of price and quantity is given .

Under the perfect competition , the profit maximization condition is where price is equal to the marginal cost

that means P = MC .

price is given as = $8 ,

Form the graph ATC = $5.5

per unit profit can be calculated using the formula ,

Per unit profit = Price - ATC

per unit profit = 8 - 5.5

= $2.5

From the graph , the quantity is Q = 14.4 (approximately)

Total profit is calculated using the formula

Total Profit = (profit per unit) × (quantity)

Total Profit = 2.5 × 14.4

= $36

Therefore , The profit per bag is approximately $2.50  and the total profit is approximately is $36 .

The given question is incomplete , the complete question is

This figure is the market for bags of coffee roaster . At a price of $8 per bag . Profit per bag is approximately is      and the total profit is       .

(a) $5.50 , $78

(b) $5.00 , $60

(c) $2.50 , $36

(d) $8.00 , $114

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The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.

It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.

Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.

It follows that all sides of the room are equal and the length of each side can be determined as;

s = √Area; since Area = s².

s = √775

s = 27.839 ft.

Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.

However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;

= 27.839 - 3 -3 = 21.839 ft on all sides.

Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.

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A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

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Answer:

the answer is y = 4x - 19. hope this helps!

There is a theorem that says:

If two angles are supplementar to two other congruent angles, then they're congruent.

For example:

So,

Answer:

84.474

Step-by-step explanation:

46.93 x 1.8 = 84.474

Answer:

The giraffe could run 84.474 feet in 1.8 seconds.

Step-by-step explanation:

cross multiply

1x= 84.474

x= 84.474 ft

The surface area of the cuboid is 76 cm²

The surface area of a three-dimensional object is the sum of the area of all the outer surfaces, it is also measured in square units.

A cuboid is a solid shape or a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2(lb + bh + lh)

here,

l = 5cm

b = 4cm

h = 2cm

SA = 2( 5×2 + 5×4 + 4×2)

SA = 2( 10 +20 +8)

SA = 2( 38)

SA = 76 cm²

Therefore the surface area of the cuboid is 76 cm².

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