Find the radius of gyration of a plate covering the region bounded by x=3,x=6. y = 0, and y = 3 with respect to the y-axis. Ry

Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

The least cοmmοn denοminatοr οf the fractiοn is 24.

Part οf a whοle is a fractiοn. The quantity is written as a quοtient in mathematics, where the numeratοr and denοminatοr are divided. Each is an integer in a simple fractiοn. Whether it is in the numeratοr οr denοminatοr, a cοmplex fractiοn cοntains a fractiοn. The numeratοr and denοminatοr οf a cοrrect fractiοn are οppοsite each οther.

Here the given fractiοn is \($\frac{11}{8}\ \text{and}\ \frac{7}{12}\).

We knοw that Least cοmmοn denοminatiοn οf the fractiοn is lοwest cοmmοn multiple. Then, factοrs οf the denοminatοr

8 = 2*2*2

12=2*2*3

Nοw LCD = 2*2*2*3 = 24.

Hence the least cοmmοn denοminatοr οf the fractiοn is 24.4.

To learn more about fraction refer the below link

https://brainly.com/question/78672

#SPJ1

when inserted to the equation it equals 4

(-3×-6)-(7×2)=4

answer =(-6,2)

Answer:

Last option: f(x) = \(\sqrt[5]{\frac{x}{7} }\)

Hope this helps!

Step-by-step explanation:

54mn⁴ = 2 * 3³ * m * n⁴

27m³n² = 3³ * m³ * n²

Highest common power of 2 = null

Highest common power of 3 = 3³

Highest common power of m = m

Highest common power of n = m²

Hence GCF(54mn⁴,27m³n²)

= 3³ * m * n² = 27mn².

27, m, n² and 9 are factors of the GCF 27mn². Only 18 is not a factor.

Answer:

\(54m {n}^{4} = {3}^{3} \times 2 \times m \times {n}^{4} \\ 27 {m}^{3} {n}^{2} = {3}^{3} \times {m}^{3} \times {n}^{2}\\ \)

GCF of the two expression 27, m, n²,9.

Both of the expression can be divided by 27, m, n², 9 but 18 can't be divided by 27m³n².

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

64

Step-by-step explanation:

123+(-1)/2-(-3)=

122/2=61

61+3=64

The unit rate of the beef if it cost $14.40 for 4.5 pounds of beef is $3.2 per pound

The unit rate is the cost of each unit of an item at a particular time.

Cost of 4.5 pounds of beef = $14.40

Unit rate of beef = Total cost / Total pounds

= $14.40 / 4.5

= $3.2 per pound

Check:

Cost of 4.5 pounds of beef = unit cost of beef × pounds of beef

= $3.2 × 4.5

= $14.4

In conclusion, the unit rate of beef is given as $3.2 per pound.

Read more on unit rate:

https://brainly.com/question/4895463

#SPJ1

we get that the measure is:

Answer:

C

Step-by-step explanation:

because d + Q = 19 is just counting the coins, not the monetary value

and .25q + .10d signs values per coin type.

The importance of destroyers is given. The destroyer serves as the battleship's night watchman.

Designed to accompany larger ships in a fleet, convoy, or battle group to defend them against powerful, close-range attacks, destroyers are swift, maneuverable, long-endurance warships.

A destroyer is a quick, nimble, long-endurance warship that is designed to accompany bigger ships in a fleet, convoy, or battle group and protect them against strong, close-range assaults.

The destroyer serves as the battleship's night watchman, and the number required to keep it safe relies directly on the number of assault torpedo vessels that may be used by a potential opponent.

Battleships are significantly slower and less adaptable than destroyers, which are also far less expensive to build and operate.

You may construct more than ten destroyers for the price of one battleship.

Destroyers may work alone or as a team with Expeditionary Strike Groups, Surface Action Groups, and Carrier Strike Groups.

Therefore, the destroyers are important for any naval army.

To learn more about the destroyers;

https://brainly.com/question/29559573

#SPJ4

Answer:

y < \(\frac{13}{2}\)

Step-by-step explanation:

Given

5y + 4 < 3y + 17 ( subtract 3y from both sides )

2y + 4 < 17 ( subtract 4 from both sides )

2y < 13 ( divide both sides by 2 )

y < \(\frac{13}{2}\)

Answer:

y < 13/2

Step-by-step explanation:

When rolling a pair of dice and considering the sum of the face values, there are a total of 36 possible sample points. These sample points can be obtained by considering all combinations

a. Number of sample points: When rolling a pair of dice, each die has six possible outcomes, ranging from 1 to 6. Since there are two dice, the total number of sample points is the product of the number of outcomes for each die, which is 6 * 6 = 36.

b. List of sample points: The sample points can be obtained by considering all possible combinations of outcomes from each die. For instance, one sample point is when both dice show a value of 1, another sample point is when the first die shows a 1 and the second die shows a 2, and so on, until both dice show a value of 6. Listing all 36 sample points would be time-consuming, but they can be systematically obtained by considering all possible pairs of values from 1 to 6.

c. Occurrence of even and odd values: In a fair pair of dice, each face value (1 to 6) has an equal probability of occurring. Therefore, there is no inherent bias for even values to occur more often than odd values. Each outcome, representing a sum of the face values, has a specific probability of occurring. For example, the sum of 2 (when both dice show a value of 1) and the sum of 12 (when both dice show a value of 6) each have a probability of 1/36. The statement that dice should show even values more often than odd values is not supported by the nature of the experiment and the fairness of the dice.

Learn more about combinations here:

https://brainly.com/question/20211959

#SPJ11

If E and F are two events, P(E)= 0.6 and P(F|E)= 0.5. The value of P(E and F) will be 0.30.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, E and F are two events and that P(E)= 0.6 and P(F|E)= 0.5

As we know,

P(F|E)=P(E and F) / P(E)

0.5 = P(E and F) / 0.6

P(E and F)=0.5×0.6

P(E and F)=0.30

Thus, if E and F are two events, P(E)= 0.6 and P(F|E)= 0.5. The value of P(E and F) will be 0.30.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:where’s the expression?

Step-by-step explanation:

Answer:

90-30=60

60+2=62

answer:62

The possible endpoints are (-3, 6) and (8, -5).

The distance between two points of a line is given as:

Distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

We have,

The coordinates of the endpoints are (a, b) = \((x_1, y_1)\) and (-3, -5) = \((x_2, y_x)\).

The distance between the two endpoints is 11 units.

Now,

Distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

11 = \(\sqrt{(-3 - a)^2 + (-5 - b)^2}\)

Squaring both sides.

11² = (-3 - a)² + (-5 - b)²

121 = (-3 - a)² + (-5 - b)²

If we take a = -3 and b = 6

121 = (-3 + 3)² + (-5 - 6)²

121 = 0 + (-11)²

121 = 121

or

If we take a = 8 and b = -5

121 = (-3 - 8)² + (-5 + 5)²

121 = (-11)² + 0

121 = 121

Thus,

(-3, 6) and (8, -5) are the possible endpoints.

Learn more about distance of a line here:

https://brainly.com/question/14645718

#SPJ1

Answer: 9.99m

Step-by-step explanation:

So you have a right triangle, and from that you should be able to get all three angles because you have the 90 degree angle, the 11.3 angle, and the mystery angle, so you do the equation 180 (the total amount of degrees for a triangle) - 90 - 11.3, which gives you 78.7, then calculate the rest from there. (You can calculate from only having one side and three angles)

Answer:

18, 20, 20, 22, 24, 26, 30

Step-by-step explanation:

We know that the largest number of the list is 30 and the smallest number is 12 less than that, which is 30 - 12 = 18.

This is our list so far: 18, __ , __ , __ , __ , __ , 30

The median of a set is the middle number of the set. In this case, since there are 7 terms in the set, the median, which the problem states is 22, must be the 4th number, since the 4th number is in the middle.

This is our list now: 18, __ , __ , 22, __ , __ , 30

Now, let's deal with the mode. The mode of a set is the term that shows up the most. Since the set is in ascending order and 20 < 22, we know that the two numbers in between 18 and 22 must be 20 and 20. This means that no term can show up more than once, with the exception of 20 because it is the mode.

This is our list now: 18, 20, 20, 22, __ , __ , 30

Finally, we'll deal with the last two numbers. We know that they must be even and that they both must be in between 22 and 30 (since the set is in ascending order). We also know that the two numbers must be different (see last paragraph) and that they sum to 50. The only two numbers that satisfy all of these conditions are 24 and 26, so they must be our last two numbers.

Therefore, the answer is 18, 20, 20, 22, 24, 26, 30. Hope this helps!

a. To find the height of the enlarged photo, we can use the concept of proportional scaling. Since the width of the enlarged photo is 48 inches, we can set up the following proportion:

\(\(\frac{{\text{{Height of enlarged photo}}}}{{\text{{Width of enlarged photo}}}} = \frac{{\text{{Height of original photo}}}}{{\text{{Width of original photo}}}}\)\)

Plugging in the given values, we have:

\(\(\frac{{\text{{Height of enlarged photo}}}}{{48}} = \frac{{4}}{{6}}\)\)

Cross-multiplying, we get:

\(\(\text{{Height of enlarged photo}} = \frac{{4}}{{6}} \times 48\)\)

Simplifying, we find:

\(\(\text{{Height of enlarged photo}} = 32\) inches\)

Therefore, the enlarged photo will be 32 inches tall.

b. To find the width of the wallet-sized photo, we can use the same concept of proportional scaling. Since the height of the wallet-sized photo is 1.5 inches, we can set up the following proportion:

\(\(\frac{{\text{{Width of wallet-sized photo}}}}{{\text{{Height of wallet-sized photo}}}} = \frac{{\text{{Width of original photo}}}}{{\text{{Height of original photo}}}}\)\)

Plugging in the given values, we have:

\(\(\frac{{\text{{Width of wallet-sized photo}}}}{{1.5}} = \frac{{6}}{{4}}\)\)

Cross-multiplying, we get:

\(\(\text{{Width of wallet-sized photo}} = \frac{{6}}{{4}} \times 1.5\)\)

Simplifying, we find:

\(\(\text{{Width of wallet-sized photo}} = 2.25\) inches\)

Therefore, the wallet-sized photo will be 2.25 inches wide.

To know more about equations visit-

brainly.com/question/32073464

#SPJ11

Answer:

x = 3, y = 3

Step-by-step explanation:

x = -5x -18

5x + 18 = -x

6x + 18 = 0

6x = 18

x = 3

Answer:

the answer is A

Step-by-step explanation:

9\(x^{2}\)\(y^{-2}\)    (insert x= -3, y=2)

9\((-3)^{2}\)(\(\frac{1}{y^{2} }\))

9\((-3)^{2}\) (\(\frac{1}{(2)^{2} }\))

9(9)( \(\frac{1}{(2)^{2} }\))

81(\(\frac{1}{4}\))

20\(\frac{1}{4}\)  or  20.25

Answer:

I think it is answer A im not sure, im not very good at math though

Answer:

Step-by-step explanation:

What size are Letter papers?

Page sizes and dimensions

Paper Size Dimensions

Letter 8.5 x 11 inches

Letter Wide 11 x 8.5 inches

Legal 8.5 x 14 inches

Legal Wide 14 x 8.5 inches

Samuel and Noah invested $9,200, with Samuel earning 7 1/8% compounded monthly and Noah earning 7 3/4% compounded daily. After 7 years, Noah will have more money in his account.

Samuel's investment grows at a rate of 7 1/8% compounded monthly. To calculate the future value, we use the formula:

Future Value = Principal × (1 + (Interest Rate/Number of Compounding Periods))^(Number of Compounding Periods × Number of Years)

For Samuel:
Future Value = $9,200 × (1 + (7.125%/12))^(12 × 7) ≈ $13,808

Noah's investment grows at a rate of 7 3/4% compounded daily. Using the same formula, we have:

Future Value = $9,200 × (1 + (7.75%/365))^(365 × 7) ≈ $14,124

Noah will have approximately $316 more in his account than Samuel after 7 years, to the nearest dollar.

Learn more about Interest rate click here :brainly.com/question/26562020

#SPJ11

Answer:

The first one.

Step-by-step explanation:

so 1 stands for x and -5 stands for y. When you plug in 1 into the equation the answer is -5. So that order pair works with that equation.

Answer:

b. (-5, 4)

Step-by-step explanation:

edge2020

Hey there!

-y - (-3) = 7

-y + 3 = 7

-y = 7 - 3

-y = 4

=> y = -4

Hope it helps ya!

Answer:

197 people

Step-by-step explanation:

500÷1.65≈303.0...

500-303= 197

Answer:

Step-by-step explanation:

use the equation of motion for a projectile moving un der gravity h = ut + (1/2)gt^2 where u = initial velocity, h = height, t = time and g = acceleration due to gravvity here u = 64 fts-1 and g = -32 ft s-2