the number which best completes the sequence below is: 3 9 4 5 25 20 21 441 ?

Answer:

n² p²r³

Step-by-step explanation:

n ⋅ n ⋅ p ⋅ p ⋅ r ⋅ r ⋅ r

Write using exponents

There are 2 n terms

n²⋅ p ⋅ p ⋅ r ⋅ r ⋅ r

There are 2 p terms

n² p²⋅ r ⋅ r ⋅ r

There are 3 r terms

n² p²r³

Answer:

False

Step-by-step explanation:

Required

State if the product of rational numbers and integer is an integer

The statement is false and the proof is as follows

Literally, rational numbers are decimal numbers that can be represented as a fraction of two integers;

Take for instance: 0.2, 0.5, 2.25, etc.

When any of these numbers is multiplied by an integer, the resulting number can take any of two forms;

1. It can result to an integer:

For instance;

\(0.2 * 5 = 1\)

\(0.5 * 4 = 2\)

\(2.25 * 8 = 18\)

2. It can result in a decimal number

For instance;

\(0.2 * 3 = 0.6\)

\(0.5 * 5 = 2.5\)

\(2.25 * 7 = 15.75\)

From (1) above, we understand that the product can result in an integer.

Hence, the statement is false

Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

Learn more about learning platforms at

https://brainly.com/question/32908749

#SPJ4

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

For more suchy questions on distance visit:

https://brainly.com/question/28551043

#SPJ8

Answer: Divide the area times the base

Step-by-step explanation:

Answer:

x = -17/2

Step-by-step explanation:

2(x+13)=9

2x+26=9 (multiplying 2 with both the numbers)

2x=9-26 (shifting 26 on the other side of the equation changes its sign)

2x=-17

x=-17/2 (2 is in multiplication form, so shifting on the other size changes it into division)

Answer:

2 x x + 2x13=8

or,2x+26=9

or,2x=9-26

or,2x= -17

or,x= -17/2

so, x= -8.5

Answer:

https://brainly.com/question/9016553

Step-by-step explanation:

You can see the answers from the exact same question. In the link I pasted.

Not my answer but hope this helps

Answer:

7.5

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

let x be the number she is thinking about

5x + 8 = 93

Rearrange

5x = 85

x = 17

Please the explanation of this question on how to graph a sinusoidal function for further information about the graph of the resulting expression.

Sinusoidal functions have a period of 2π and represent a kind of symmetical bounded functions. In this case, the given expression have a period of 6π and is bounded between -5 and 1.

The procedure to graph the given expression is summarized below:

Lastly, we present the outcome derived from the given procedure in the image attached below.

To learn more on sinusoidal function, we kindly invite to check this verified question: https://brainly.com/question/12060967

Answer:

Below

Step-by-step explanation:

I will assume this question has messed up syntax and is supposed to be :

x^5  *   x^4   * x    =

x^5   * x^4   * x^1

x^(5 + 4+ 1) =  x^10

Answer:

x = 3 For the first one... I don't know the rest...

Step-by-step explanation:

If you add do:

x + 7 + 2x= 16

subtract 7 from both sides

x+2x=9

Ad both x's

3x=9

divide 9 by 3 and you'll get

x = 3

The relationship between cosine and sine of complementary angles allows us to complete the given equation. Using the cofunction identity, we know that the cosine of an angle is equal to the sine of its complementary angle.

If cos(pi/3) = sin(), we can determine the value of the complementary angle to pi/3 by finding the sine of that angle. To find the lengths of the missing sides in a right triangle, we can use the given information about the angle B and side a. Since cos(B) = 4/5, we know that the adjacent side (side b) is 4 units long and the hypotenuse is 5 units long. Using the Pythagorean theorem, we can find the length of the remaining side, which is the opposite side (side a). Given that a = 50, we can solve for the missing side length. In summary, using the cofunction identity, we can determine the value of the complementary angle to pi/3 by finding the sine of that angle. Additionally, using the given information about angle B and side a, we can find the missing side length by using the Pythagorean theorem.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

Answer:

83 deg

Step-by-step explanation:

sum of angles in triangle = 180

<1=180-(31+66)=180-97=83

Answer:

83 degrees

Step-by-step explanation:

the angles in a triangle add up to 180 degrees

Answer:

y=4x-22

Step-by-step explanation:

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

Read more about simple mathematical equation-solving problems on

https://brainly.com/question/17618820

Answer: (x+4.5)^2-40.25

Step-by-step explanation:

x^2+9x-20=

x^2+9x+4.5^2-4.5^2-20=

x^2+9x+20.25-20.25-20=

(x+4.5)^2-20.25-20=(x+4.5)^2-40.25

\(\huge \boxed{\sf 9}\\\\\\\sf x^2+9x-20\\\\An\ integer\ is\ a\ coefficient\ when\ multiplied\ by\ a\ variable.\\\\9\ is\ multiplied\ by\ x.\)

Answer:

x=6

Step-by-step explanation:

-5+x=1

+5.     +5

x=6

Hopes this helps please mark brainliest

Answer:

m=\(\frac{3}{4}\)

Step-by-step explanation:

a) The formula for finding the volume of a cone-shaped pile is V = (1/3)πr²h, where r is the radius of the base (which is half of the diameter), and h is the slant height. Plugging in the given values, we get:

V = (1/3)π(10²)(17) ≈ 1,795.4 cubic metres

Therefore, there are approximately 1,795.4 cubic metres of gravel in the pile.

b) To find out how many metres of sidewalk can be built, we need to multiply the volume of gravel by the ratio of 0.2 m of gravel per 1 metre of sidewalk. That is:

1,795.4 cubic metres × 0.2 m/metre = 359.1 metres

Therefore, the company could build approximately 359.1 metres of sidewalk using this pile of gravel.
a) To find the volume of the cone-shaped gravel pile, we use the formula V = (1/3)πr²h, where r is the radius, and h is the height. Since the diameter is 20 metres, the radius is 10 metres (half of the diameter). We need to find the height (h) using the slant height (17 metres) and the Pythagorean theorem: h² + r² = (slant height)². So, h² = 17² - 10², which gives h = √(289 - 100) = √189.

Now, we can find the volume: V = (1/3)π(10)²(√189) ≈ 628.3 cubic metres (rounded to the nearest tenth).

b) To find the number of metres of sidewalk that can be built using this pile of gravel, we need to divide the volume of the pile (628.3 cubic metres) by the amount of gravel needed per metre of sidewalk (0.2 cubic metres/metre). So, the length of sidewalk = 628.3 / 0.2 ≈ 3141.5 metres (rounded to the nearest tenth).

Visit here to learn more about volume  : https://brainly.com/question/1578538
#SPJ11

Step-by-step explanation:

I hope the picture is clear enough.

Answer:

Ron to Bill = 67 yd

Bill to John = 30 yd

Total number of yards = 97 yd

Step-by-step explanation:

See the figure below.

Use the Pythagorean theorem to find the distance from Ron to Bill.

a² + b² = c²

60² + 30² = c²

c² = 3600 + 900

c² = 4500

c = √4500

c = 67

Ron to Bill = 67 yd

Bill to John = 30 yd

Total number of yards = 97 yd

The mass of hydrogen atoms that measures 54 u is 89.64 x 10^-24

Analysis:

If 1 u = 1.66 x 10^-24, then 54 u = 54 x 1.66 x 10^-24 = 89.64 x 10^-24

#SPJ1

Answer:

0.4406

Step-by-step explanation:

Given:

Total no. of Person: 7+6=13

n= Total no. of Possible cases

n=Total no. of selection of 3 members out of 11 members.

\(\tt n=C(13, 3) = \frac{13!}{(3! * (13-3)!)} = \frac{13*12*11*10!}{3!*10!}=\frac{13*12*11}{3*2*1}=286\)

Now, let's calculate the number of ways to select 2 men and 1 woman.

We can choose 2 men from 7 men and 1 woman from 6 women:

m = No. of favorable Cases.

\(\tt m=C(7, 2) * C(6, 1) = \frac{7! }{ (2! * (7-2)!}* \frac{6! }{1! * (6-1)!} =\frac{7*6*5!}{2*1*5!} *\frac{6*5!}{1*5!}=21 * 6= 126\)

Therefore, the number of ways to select 2 men and 1 woman is 126.

The probability of selecting 2 men and 1 woman is then:

\(\tt \bold{P(2\:\: men \:\: and\:\: 1\: Woman)=\frac{ No. \:of \:favorable \:Cases}{Total\: no.\: of \:Possible\: cases\:}}\)

\(\tt P(2\:\: men \:\: and\:\: 1\: Woman)=\frac{m}{n}=\frac{126}{286}=0.44\)

Therefore, the probability of selecting 2 men and 1 woman from the group is approximately 0.4406.

To find the force constant k of the spring, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.

Hooke's Law can be expressed as:

F = -kx

where F is the force exerted by the spring, k is the force constant (also known as the spring constant), and x is the displacement of the spring.

In this scenario, the subway train is brought to a stop by the spring bumper, so the force exerted by the spring is equal to the force required to stop the train. We can use the equation for force to find the force constant.

Given:

Mass of the subway train (m) = 6.00 x 10^5 kg

Initial velocity (v₀) = 0.500 m/s

Displacement (x) = 0.800 m

The force required to stop the train can be calculated using Newton's second law:

F = ma

where F is the force, m is the mass, and a is the acceleration.

In this case, the train is brought to a stop, so its final velocity is zero. The acceleration can be calculated using the kinematic equation:

v² = v₀² + 2ax

Since the final velocity is zero, we can rewrite the equation as:

0 = v₀² + 2ax

Solving for acceleration (a), we have:

a = -v₀² / (2x)

Substituting the given values:

a = -(0.500 m/s)² / (2 * 0.800 m)

a = -0.15625 m/s²

Now, we can calculate the force:

F = ma

F = (6.00 x 10^5 kg) * (-0.15625 m/s²)

F = -9.375 x 10^4 N

According to Hooke's Law, this force is equal to -kx. Comparing the equation with the calculated force:

-9.375 x 10^4 N = -k * 0.800 m

Solving for the force constant (k):

k = (-9.375 x 10^4 N) / (0.800 m)

k = -1.171875 x 10^5 N/m

Therefore, the force constant of the spring is approximately -1.171875 x 10^5 N/m.

To know more about Equation visit-

brainly.com/question/14686792

#SPJ11

Answer:

134.4

Step-by-step explanation:

134.4432966

Just find the Square Root of 18,075 (I punched it into my calculator.)

Answer:

-134.44 and 134.44.

Step-by-step explanation:

There are 2 numbers +/- √18,075

= +/- 134.44

Answer:

The family still needs $1104.52 to reach their savings goal for the vacation.

Step-by-step explanation:

To determine whether the family will have enough money for their trip, we need to calculate the total savings at the end of August. Let's break down the savings for each month:

March: $130 (initial savings)

April: $130 + 20% = $156 (20% more than the previous month)

May: $156 + 20% = $187.20

June: $187.20 + 20% = $224.64

July: $224.64 + 20% = $269.57

August: $269.57 + 20% = $323.48

By the end of August, the family will have saved $323.48. However, their target amount for the vacation is $1428. Therefore, they do not have enough money for the trip.

To determine how much more they need, we subtract the total savings from the target cost:

$1428 - $323.48 = $1104.52

The family still needs $1104.52 to reach their savings goal for the vacation.

Answer:

\(here \: pf \: is \: the \: bisector \: then \: \\ 4x + 2 = 6x - 10 \\ x \: term \: togather \\ 6x - 4x = 2 + 10 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ thank \: you\)

Answer:

the person above already did it

Step-by-step explanation:

Answer: -2.25

9x+4y=8

4y=-9x+8

y= -9/4x+8/4

y=-2.25x+2

I hope this is good enough:

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

\(\displaystyle S = \frac{k}{2}\left( a + x_k\right)\)

Where k is the number of terms, a is the initial term, and x_k is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

\(\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}\)

In conclusion, the sum of the arithmetic series is 2717.