Assume n is a natural number bigger than 1. what is the total number of ways you can write down as total sum of other numbers?​

Answer:

27.7"

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

a² + 16² = 32²

a² + 256 = 1,024

subtract 256 from both sides

a² = 768

Take the square root of both sides

a = 27.7128129211

a = 27.7"

9514 1404 393

Answer:

  right triangle

Step-by-step explanation:

Segment P1-P2 is horizontal of length 2-(-4) = 6. Segment P2-P3 is vertical of length 1-(-3) = 4. The horizontal and vertical sides are perpendicular to each other, so it is a right triangle. The sides are of different lengths, so it is a scalene triangle (not isosceles).

Answer:

900 cm

Step-by-step explanation:

Proportions

1cm  ⇒ 50cm

18cm ⇒ Wcm

W = 18*50/1

W = 900cm

Answer:

the answer is c or 45pie Units

Step-by-step explanation:

The surface area of the right cone is,

⇒ SA = 45π units²

The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of cone (r) = 3 units

Slant height of cone (l) = 12 units

Now, We know that;

The formula that is used to calculate the surface area of a cone is;

⇒ SA = πrl + πr²

Hence, We can substitute all the values we get;

⇒ SA = πrl + πr²

⇒ SA = π × 3 × 12 + π × (3)²

⇒ SA = 36π + 9π

⇒ SA = 45π units²

Thus, The surface area of the right cone is,

⇒ SA = 45π units²

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Answer: Step-by-step explanation:

List of prime numbers before 41 (including 41 itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.

Answer:

129 cm

Step-by-step explanation:

The total height of all the people: 150 × 4 = 600 cm

The total height of Sally, Jackson and Tina: 145 × 3 = 435 cm

David’s height: 600 – 435 = 165 cm

Tina’s height: 165 + 5 = 170 cm

Jackson’s height: 170 × 4/5 = 136 cm

Therefore, Sally’s height: 600 – 165 – 170 – 136 = 129 cm

Thenks and mark me brainliest :))

The height of Sally will be 133 centimeters and the height of Jackson is 132cm.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The average height of Sally, Jackson, Tina, and David is 150 cm per person. Then the equation is given as,

(S + J + T + D) / 4 = 150

S + J + T + D = 600  ...1

The average height of Sally, Jackson, and Tina is 145 cm per person. Then the equation will be

(S + J + T) / 3 = 145

S + J + T = 435      ...2

Tina is 5 cm taller than David. Then the equation will be

T = D + 5  ...3

Jackson is 4/5 as tall as David. Then the equation will be

J = (4/5)D    ...4

From equations, 1 and 2, then we have

435 + D = 600

D = 165 cm

From equation 4, then we have

J = (4/5) x 165

J = 132 cm

From equation 3, then we have

T = 165 + 5

T = 170 cm

From equation 2, then we have

S + 132 + 170 = 435

S = 133 cm

The height of Sally will be 133 centimeters.

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9514 1404 393

Answer:

  x = 0, x = 3

Step-by-step explanation:

It appears your equations are intended to be ...

  f(x) = (7/3)x -3

  g(x) = 2^x -4

These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.

The solutions to f(x) = g(x) are x ∈ {0, 3}.

Answer:

I believe its 34

Step-by-step explanation:

because for example the first 2 numbers are both 1 and 1 + 1 is 2 which is the 3rd number and 13 + 21 is 34 I really hope this helped

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

Answer:

B (8x7)-23 is the answer

Subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

Subtract 23 from the product of 8 and 7

The product of the 8 and 7 can be written as (8 X 7)

Subtract 23 from (8×7)

(8 X 7) - 23

Thus, subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.

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9514 1404 393

Answer:

  A.  -6

Step-by-step explanation:

The average rate of change on that interval is given by ...

  m = (f(0) -f(-1))/(0 -(-1)) = f(0) -f(-1)

  m = -3 -(3) = -6

The average rate of change on the interval is -6.

Answer:

Step-by-step explanation:

Answer:

[tex] (A)\displaystyle \begin{array} {ccc} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{array} [/tex]

Step-by-step explanation:

since the line is horizontal and passes -2 the equation of the blue line should be

[tex] \displaystyle \large y = - 2[/tex]

remember The form of equation of a line

[tex] \displaystyle \boxed{ \displaystyle y = mx + b}[/tex]

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

[tex] \displaystyle m = \frac{ 1}{ 2} [/tex]

so we have figured out m and b

therefore our equation of blue line is

[tex] \displaystyle y = \frac{1}{2} x - 3[/tex]

our given options are in standard form so

move -3 to left hand side and change its sign:

[tex] \displaystyle y + 3= \frac{1}{2} x [/tex]

cross multiplication:

[tex] \displaystyle 2y + 6= x[/tex]

move 6 to right hand side and x to left hand side and change its sign

[tex] \displaystyle - x + 2y = - 6[/tex]

multiply both sides by -1:

[tex] \displaystyle x - 2y = 6[/tex]

hence, our system of linear equation is

[tex] \displaystyle \begin{cases} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{cases}[/tex]

Answer:

128√5/3 mm³

Step-by-step explanation:

Since we are not told what to find, we can as well look for the volume of the pyramid

Volume of a square pyramid: V = (1/3)a²h

a is the side length of the square

h is the height of the pyramid

Given

a = 8mm

l² = (a/2)² + h²

l² = (a/2)² + h²

6² = (8/2)² + h²

h² = 6² - 4²

h² = 36 - 16

h² = 20

h = √20

Volume of a square pyramid =  (1/3)*8²*√20

Volume of a square pyramid = 1/3 * 64 * 2√5

Volume of a square pyramid = 128√5/3 mm³

Answer:

2.5 cm

Step-by-step explanation:

6*5=30

30/2=15

That's the area of the triangle

The area of the rectangle must also equal 15

6*w=15

Divide by both sides by 6

This gives you: 2.5

The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm

Used the formula of area of the rectangle and area of the triangle which states that,

Area of rectangle = Length × Width

And, Area of triangle = 1/2 × Base × Height

Given that,

The triangle and the rectangle have the same area.

Here, in a triangle;

Base = 5 cm

Height = 6 cm

So, the Area of the triangle is,

[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]

[tex]A = 15 \text{ square cm}[/tex]

In a rectangle;

Length = 6 cm

Width = w cm

So, the area of a rectangle,

[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]

Since the triangle and the rectangle have the same area.

So, equate both the area of the triangle and rectangle,

[tex]6 \times w = 15[/tex]

Divide both sides by 6,

[tex]w = \dfrac{15}{6}[/tex]

[tex]w = 2.5 \text{ cm}[/tex]

So, the value of w is 2.5 cm

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Answer:

about 23 minutes

Step-by-step explanation:

(65x35)/(65+35)= 2,275/100= 22.75 minutes (or 23 if rounded)

Answer:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal

Step-by-step explanation:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Answer:

I don't know what to look for

but area of sphere = 4πr²

4×π×12×12

576πmm³

volume of sphere= 4πr³

3

4/3π12×12

576/3π

= 192πmm³

Answer:

A sample size of 392 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

18% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class.

This means that [tex]\pi = 0.18[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.05. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 2.575\sqrt{\frac{0.18*0.82}{n}}[/tex]

[tex]0.05\sqrt{n} = 2.575\sqrt{0.18*0.82}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.18*0.82}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.18*0.82}}{0.05})^2[/tex]

[tex]n = 391.5[/tex]

Rounding up:

A sample size of 392 is required.

Answer:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.

The explicit rule of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

1/4, 1/2, 1, 2, 4

This means that [tex]a_1 = \frac{1}{4}[/tex], and:

[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]

So the explicit rule is:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Answer:

1/12

Step-by-step explanation:

Given the following :

Actual height of pyramid = 24 ft

Dimension of scaled model :

Height = 2ft ; width = 1ft

a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.

Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.

(Height of scaled model / height of actual pyramid)

(2ft / 24ft) = 1/12

10

you 5×2=10

that how you get your answer

Answer:

100000

Step-by-step explanation:

First multiplt the given njmber with 2000 and subrat total number givem

Answer: c

Step-by-step explanation:

Answer:

second choice is the answer or it can be

The correct answer is option B.

"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."

For given question,

Consider points A and B on the coordinate plane as shown in following image.

Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]

So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]

Let, AC = y, BC = -y and OC = m

Now, consider sine function

[tex]sin\theta=\frac{AC}{OA}\\[/tex]

⇒[tex]sin\theta=\frac{y}{r}[/tex]                        ........................(1)

And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]

⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]

⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex]             .......................(2)

⇒ [tex]sin(-\theta)=-sin\theta[/tex]             ......................(From (1) and (2))

Now, consider cosine function

[tex]cos\theta=\frac{OC}{OA}[/tex]

⇒ [tex]cos\theta=\frac{m}{r}[/tex]                           ...........................(3)

And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]

⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex]                      ...........................(4)

⇒ [tex]cos(-\theta)=cos\theta[/tex]                   ...........................(From (3), (4))

Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).

Therefore, the correct answer is option B.

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Answer: x = -30

Step-by-step explanation:

y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x

The solution to the system of equations is x = 390 and y = 50. The value of x is equal to 390.

To find the value of x, solve the system of equations using the method of  substitution . Let's use the method of elimination:

Given equations:

x - 12y = -210                      (1)

x - 6y = 90                          (2)

To eliminate x, we can subtract equation 2 from equation 1:

(x - 12y) - (x - 6y) = (-210) - 90

Simplifying the equation:

x - 12y - x + 6y = -210 - 90

-6y = -300

Divide both sides of the equation by -6:

y = -300 / -6

y = 50

Now, substitute the value of y back into either equation:

x - 6(50) = 90

Simplify the equation:

x - 300 = 90

Add 300 to both sides of the equation:

x = 90 + 300

x = 390

Therefore, the solution to the system of equations is x = 390 and y = 50.

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4.2^n+12^n+2/2^n+12^n

Step-by-step explanation:

Step-by-step explanation:

X+3X+90=360

4X+90=360

4X=360-90

4X=270

270÷4=67.5

X=67.5 degrees

Answer:

V = 168 km³

Step-by-step explanation:

We are given a triangle prism.

Volume of a triangle prism = ½*a*c*h

Where,

a = 8 km

c = 6 km

h = 7 km

Substitute

V = ½*8*6*7

V = 4*6*7

V = 168 km³