Gradients and intercepts on graphs

(a) Using these variables, the dimensionless variables that can be used for this problem are as follows:2d/gdgb/EiE/b

(b) If the density is the same, the model ice can have the same strength properties as that of the prototype ice.

(a) The suitable set of dimensionless variables for this problem includes: g, the acceleration of gravityd, depth of the iceb, pier width Ei, the strength of the ice ρ, density of the ice

Using these variables, the dimensionless variables that can be used for this problem are as follows:2d/gdgb/EiE/b

(b) Given that the length scale is 1/21, and prototype ice thickness and velocity are 12 in. and 11 ft/s, respectively.

We can determine the model ice thickness and velocity using the length scale as follows:

For ice thickness, Model ice thickness = Prototype ice thickness × Length scale= 12 in. × (1/21)= 0.571 in.

For ice velocity, Model ice velocity = Prototype ice velocity × (Length scale)-0.5= 11 ft/s × (1/21)-0.5= 0.765 ft/s≈ 0.77 ft/s(c)

The model ice can have the same strength properties as the prototype ice if their strengths are identical, although the densities are the same.

Therefore, if the density is the same, the model ice can have the same strength properties as that of the prototype ice.

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Answer:

b) 0.57

c) 0.74

Step-by-step explanation:

part a:

frequency graph is attached with this answer (in png format).

part b:

let A be the event an entry is picked at random and the entry is a poem that has not been shortlisted.

P(A) = \(\dfrac{\text{number of poems not shortlisted}}{\text{total number of entries}}\)

P(A) = \(\dfrac{570}{1000}\) (see the frequency graph)

P(A) = 0.57

part c:

let B be the event a story is picked at random and the story has not been shortlisted.

P(B) = \(\dfrac{\text{number of stories not shortlisted}}{\text{total number of stories}}\)

P(B) = \(\dfrac{185}{250}\) (see the frequency graph)

P(B) = 0.74

Hopefully this answer helped you!!

Answer:

Step-by-step explanation:

z - some integer

then the consecutive integer would be:

z+1,  (or z-1)

the sum is 69 so:

z + z+1 = 96

2z = 68

z = 34

z+1 = 34 + 1 = 35

(or:

z + z-1 = 69

2z = 70

z = 35

z-1 = 35 - 1 = 34)

Answer:

Step-by-step explanation:

If two sides of the triangle are congruent then the triangle is called as isosceles triangle.

If no sides of the triangle are congruent then the triangle is called as scalene triangle.

A triangle in which one of the interior angles is 90° is called a right triangle.

Answer:

\(\huge\boxed{\sf Isosceles\ triangle}\)

Step-by-step explanation:

\(\rule[225]{225}{2}\)

Answer:

6

Step-by-step explanation:

Since there in a time 0 in the equation, anything before that is useless. afte that its a +6 so its 6

hope it helps

Answer:

6

Step-by-step explanation:

1 × 2 × 3 ÷ 1 × 0 + 6

= (1 × 2) × 3 ÷ 1 × 0 + 6

= 2 × 3 ÷ 1 × 0 + 6

= (2 × 3) ÷ 1 × 0 + 6

= 6 ÷ 1 × 0 + 6

= (6 ÷ 1) × 0 + 6

= 6 × 0 + 6

= (6 × 0) + 6

= 0 + 6

= 6

Maaf Kalau Salah Semoga Membantu

\( \)

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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Answer:

Undefined.

Step-by-step explanation:

Slope is the Rise/Run of a straight line.  Run is the change in the value of y for a change in x.  The graph shows all values are possible for y even when there is zero change in x.  All Values/0 = Undefined.

Yes, each need has been fulfilled. To get the sample mean when data are independent and roughly normal, the t distribution should be utilized.

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Answer:

a=2, b=4, c=3

d=2, e=3

Step-by-step explanation:

\(\frac{1}{2} :\frac{3}{4} = \frac{1}{2} *\frac{4}{3} =\frac{1}{a} *\frac{b}{c} \\\\\frac{1}{2} *\frac{4}{3} =\frac{2}{3} =\frac{d}{e}\)

a=2, b=4, c=3

d=2, e=3

Answer: a=2, b=4, c=3

d=2, e=3

Step-by-step explanation:

Answer:

The area of the circle is 314 inches

Step-by-step explanation:

Area if a circle = πr²

r = radius

r= d/2

r=20 /2

r=10 inches

Area =3.14×10²

= 3.14×100

=314 inches

Answer:

314 in. cubed

Step-by-step explanation:

The formula to find the area of a circle is:

A= πr²

Pi is 3.14 so substitute that in

A= 3.14(r)²

The radius is 10 because the radius is half of the diameter.  Half of 20 is 10.  So substitute that in the radius symbol.

A= 3.14(10)²

Square 10, which is 10 times 10.  10 times 10 equals 100.

A= 3.14(100)

100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right.  It gets you 314.0 which is just 314.

A= 314

Correct question is;

Terry is filling spherical water balloons with a faucet that puts out 100 cm³ of water per second. At that rate, it takes Terry 6 seconds to fill a balloon. What is the radius of a filled balloon?

Answer:

r = 5 cm

Step-by-step explanation:

Volume of a sphere is;

V = (4/3)πr³

It takes 6 seconds to fill the balloon when a faucet that puts out 100 cm³ of water per second.

Thus,

Volume of balloon = 100 × 6 = 600 cm³

Thus;

(4/3)πr³ = 600

r³ = (600 × 3)/4π

r³ = 143.239

r = ∛143.239

r = 5.23

Approximation to the nearest whole number gives; r = 5 cm

The total distance the object will fall in 6 seconds is 176 feet.

From the information, the distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third.

In this case, the arithmetic sequence will be represented by:

= a + (n - 1)d.

where a = first term = 16

n = number of terms = 6

d = common difference = 48 - 16 = 32

The 6th term will be:

= a + (n - 1)d.

= 16 + (6 - 1)32

= 16 + (5 × 32)

= 16 + 160

= 176

The distance is 176 feet.

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The sequence of rigid motion to take figure ABC to DEF given below.

Triangle is a geometric figure with three sides and three angles. It is one of the basic safe in geometry. Triangles are either write, acute or obtuse depending on the size of each angle. The sum of the angles in a triangle is 180 degrees. Triangle can be classified into equity real isosceles and triangles depending on the length of the sides.

1. Rotate figure ABC 90 degrees clockwise about the origin (point O).
2. Translate figure ABC 4 units to the right.
3. Rotate figure ABC 180 degrees clockwise about point O.
4. Translate figure ABC 2 units down.
5. Rotate figure ABC 90 degrees counterclockwise about point O.
6. Translate figure ABC 3 units to the left.
7. The figure is now in the position of figure DEF.

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Answer:

c

Step-by-step explanation:

Answer:

identity

commutative

associative

distributive

Step-by-step explanation:

The 50th term is 290.

It is a sequence where there is a common difference between each consecutive term.

Example:

12, 14, 16, 18, 20 is an arithmetic sequence.

We have,

-4, 2, 8, 14,

This is an arithmetic sequence.

First term = a = - 4

Common difference.

d = 2 - (-4) = 6

d = 8 - 2 = 6

Now,

The nth term = a + (n -1)d

So,

n = 50

a = -4

d = 6

50th term.

= -4 + (50 - 1) 6

= - 4 + 49 x 6

= - 4 + 294

= 290

Thus,

The 50th term is 290.

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The complete question:

What is the 50th term of the sequence that begins −4, 2, 8, 14, ...?

Answer:

m= 3/7

Step-by-step explanation:

(2, 1) and (9, 4)

m= (y2-y1)/(x2-x1)

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

m= 3/7

When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.

Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.

Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.

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Answer:

1/2

Step-by-step explanation:

The slope of the line passing through the points (-5, 3) and (7, 9) is  \(\frac{1}{2}\).

If the line passes through points (x, y) and (x, y) then the slope of the line will be: \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Given, two points are (-5, 3) and (7, 9).

Therefore, slope of the line that passes through above two points is:

  \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

\(= \frac{9 - 3}{7 - (- 5)}\\= \frac{6}{12}\\ = \frac{1}{2}\)

Therefore, the slope of the line will be \(\frac{1}{2}\).

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Answer:

Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/

45

= 4 16/

45

≅ 4.3555556

hope this helps you

Step-by-step explanation:

Answer:

Step-by-step explanation:

Loss is 20%

S.P=Rs60000

C.P=S.P*100/100-loss%

=60000*100/80=Rs75000

So he brought is at Rs75000

Now he wants 12% profit

So

S.P=(100+profit%)/100*C.P

=100+12/100*75000

=112/100*75000=Rs 84000

He will have to sell Rs14000 more to gain profit of 12%

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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Answer:

D. Checking account B is the better deal, because its total monthly fees amount to $55, while those for checking account A amount to $54.

To determine the better deal, you must calculate the total monthly fees for each checking account. For checking account A, the monthly service fee is $12 and the wire transfer fee is $10.50, so the total monthly fees amount to $12 + (4 * $10.50) = $55. For checking account B, the monthly service fee is $21 and the wire transfer fee is $8.50, so the total monthly fees amount to $21 + (4 * $8.50) = $55. Since checking account B has lower total monthly fees, it is the better deal.

Step-by-step explanation:

The correct answer should be 50 feet per side. I hope this helped you.

Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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Answer:

its the first one

Step-by-step explanation:

you want to take the x and 7 and put them together an then you add a zero behind the = sign

Answer:

it's the third one.

Step-by-step explanation:

9 (7) = 63