The number of members of an online community increases each month. The
function M(t) = N(1 + ) represents the number of members at month t, where
Nis the initial number of members and ris the rate of increase. Select the
correct statement.
O A. Nincreases each month.
B. The initial value is (1 + r).
C. The function is linear.
D. The value of Mis a product of Nand a factor that does not depend
on N.

Answer:

120

Step-by-step explanation:

expand and calculate

10x9x8x7!/(10-3)!x3!

10x9x8x7!/7!x3!

reduce

10x9x8x7!/7!x3!

10x9x8/3!

Calculate the product

10x9x8/3!

Now Cacluate the factorial

720/3!

720/6

reduce

120

Answer: 120

Step-by-step explanation:

Answer:

a constant multiplied by y can affect the linear, because it determines a dependent variables.

Step-by-step explanation:

a linear relationship is a statistical term used to described a straight line relationship between two variables.

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

Answer:

$11095.45

Step-by-step explanation:

This is a problem in continuous compounding, for which the formula is

P = Ae^rt, r being the annual interest rate as a decimal fraction and t being the time in years.  Here we have:  

P = $9900e^(0.019)(6) = $11095.45

Answer:

11095

Step-by-step explanation:

Rounding to the nearest dollar

Answer:

x = -4 , -2

Step-by-step explanation:

I am assuming "x2" is x^2. If the equation is x^2 + 6x + 8 = 0, then you first have to factor the equation x^2 + 6 + 8.

In order to do that, you would have to find the multiples of 1 (from x) and 8.

We can see that 1 * 1 is 1, so that is the only pair that would work for the problem. 4 * 2 is 8, but 8 * 1 is also 8. So, which set of numbers do we have to choose? It's actually really simple. You multiply the first set of numbers (1 and 1) with one of the sets from 8 ( 4 and 2 or 8 and 1). Then when you are finished multiplying them together, you add them together to see if they equal to the number in the middle (6x). So 1(x) * 4 is 4x, and 1(x) * 2 is 2x, and when we add the numbers together, we get 6x, which is the middle number, so therefore, 4 and 2 is the correct set of numbers, not 8 and 1, because if we multiply and add those together, we get 7x, not 6x.

After doing that, you have to put them like this:

(x + 4)(x + 2)

This is so when you multiply them together, you get the starting equation. But we have to solve for x. In order to do that, we have to plug that into the equation we started off with.

(x + 4)(x + 2)=0

Now we have to make x + 4 and x + 2 equal to 0, so x is -4 and -2. There are two correct answers. Hope this helps :)

Answer:

x is -2 and -4

Answer:

1/8

Step-by-step explanation:

Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8

Answer:

864 m²

Step-by-step explanation:

The area of a rectangle is given by the product of the length and the width

let A be the total area

A = 100*120

A = 12000 m²

Calculate the area of the small rectangles

Let A"' be the area of the road

A"' =A-A'

A"' = 12000-11136

A"' = 864 m²

Answer:

Step-by-step explanation:

√(c^5) is equivalent to c^(5/2) (the last answer choice).

Answer:

Bob makes 15 dollars an hour mowing lawns.

The graph would be a straight line with a slope of 15.

Step-by-step explanation:

The Constant of Proportionality is y=kx, where k is the constant.  A real world example would be:

Bob makes 15 dollars an hour mowing lawns.  (y=15x)

The graph would be a straight line with a slope of 15.

Answer:

1. 600 tiles

2. $120

3. 50.3cm2

Step-by-step explanation:

1. 520 x 140/ 13 x 7

600 tiles

2. Since length is 3 x width, length is 360.

20=5

360= 360/20= 18= 18 x 5= 90

20=5

120= 120/20= 6= 6 x 5= 30

90 + 30= 120= $120

3. 22/7 x 5 x 5= 78.5

   22/7 x 3 x 3= 28.2

   78.5-28.2= 50.3= 50.3cm2

Answer:

The hikes ordered from the least to the greatest number of animals seen per kilometre

Canyon Creek < Wooded Marsh < Rivers Edge

2.33 < 2.50 < 2.67

Step-by-step explanation:

Question Properly written

You went on three hikes. On each hike, you saw a different number of animals:

Hike | Length of hike (km) | Number of animals seen

Rivers Edge | 3 | 8

Wooded Marsh | 8 | 20

Canyon Creek | 15 | 35

Order your hikes by number of animals seen per kilometer from least to greatest.

Solution

Number of animals seen per kilometre = (Number of animals seen) ÷ (Length of hike in kilometres)

Rivers Edge

Number of animals seen = 8

Length of hike in kilometres = 3

Number of animals seen per kilometre = (8/3) = 2.67

Wooded Marsh

Number of animals seen = 20

Length of hike in kilometres = 8

Number of animals seen per kilometre = (20/8) = 2.50

Canyon Creek

Number of animals seen = 35

Length of hike in kilometres = 15

Number of animals seen per kilometre = (35/15) = 2.33

Ordering the hikes by number of animals seen per kilometer from least to greatest.

2.33 < 2.50 < 2.67

Canyon Creek < Wooded Marsh < Rivers Edge

Hope this Helps!!!

Answer:

The answers are as follows.

Step-by-step explanation:

Expressions:

Computation:

Product of 2 and x is 14

2(x) = 14

x = 7

6 added with a number gives 14

6+x = 14

x = 8

The product of six and a gives 12

6(a) = 12

a = 2

12 divided by y gives 2

12 / y = 2

y = 6

6 subtract from a number and get 12

x - 6 = 14

x = 20

Answer:

seven hundred ninety-five billion eight hundred million nine hundred thirteen thousand seven hundred eighty-nine

Answer:

Rotation

Step-by-step explanation:

when you rotate a point it swaps the numarical values x⇄y as well as in some cases it changes its the symbol from negative to positive depending on the quadrant, in this case, it started in quadrant one and ended in quadrant three.

Answer:

[tex]\boxed{92 \: \mathrm{mm}}[/tex]

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (60) = [tex]\frac{80}{x}[/tex]

x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]

x = 92.37604307...

x ≈ 92

Using the base dimension and either given angle you can solve for x

Sin(angle) = opposite leg/ hypotenuse

Sin(60) = 80/x

X = 80/sin(60)

X = 80/ sqrt(3)/2

X = 160/3 x sqrt(3). (This is exact answer)

For a decimal answer: 160/3 = 53 1/3

Multiplied by sqrt(3) = 92.376 mm

Rounded to nearest mm = 92

Answer:

  (x, y, z) = (-2, 4, 0)

Step-by-step explanation:

Solving the last equation first, we have ...

  2x = -4

  x = -2 . . . . . divide by 2

__

Putting this in the first equation, we can write an expression for z:

  -2 +y +z = 2

  z = 4 -y . . . . . . . add 2-y

__

Putting this in the second equation, we have ...

  4(-2) +5y +(4 -y) = 12

  -4 +4y = 12

  -1 + y = 3 . . . . . divide by 4

  y = 4 . . . . . . . . add 1

__

Substituting this into the equation for z, we have ...

  z = 4 - 4 = 0

The solution is (x, y, z) = (-2, 4, 0).

Answer:

X+y+z=2 equation 1

4x + 5y + z = 12 equation 2

2x = -4 equation 3

Step-by-step explanation:

step 1 :

from equation 3 : 2x = -4

x= -4/2 = -2

step 2:

sub value x = -2 in equation 1

y + z = 4 _______ equation 4

step 3:

sub value of x in equation 3

5y + z = 20 _________ equation 4

solve equation 3 and 4

y + z = 4

5y + z = 20 sign change

__(-)_________

-4y = -16

__________

y = 4

substitute x = -2 & y = 4 in equation 1

z = 0

Hence x = -2 , y = 4 & z = 0

Answer:

[tex]P(At\ least\ 1) = 0.985[/tex]

Step-by-step explanation:

Given

Proportion = 55%

Required

Probability that at least one out of 7 selected finds a job

Let the proportion of students that finds job be represented with p

[tex]p = 55\%[/tex]

Convert to decimal

[tex]p = 0.55[/tex]

Let the proportion of students that do not find job be represented with q

Such that;

[tex]p + q = 1[/tex]

Make q the subject of formula

[tex]q = 1 - p[/tex]

[tex]q = 1 - 0.55[/tex]

[tex]q = 0.45[/tex]

In probability; opposite probabilities add up to 1;

In this case;

Probability of none getting a job + Probability of at least 1 getting a job = 1

Represent Probability of none getting a job with P(none)

Represent Probability of at least 1 getting a job with P(At least 1)

So;

[tex]P(none) + P(At\ least\ 1) = 1[/tex]

Solving for the probability of none getting a job using binomial expansion

[tex](p + q)^n = ^nC_0p^nq^0 + ^nC_1p^{n-1}q^1 +.....+^nC_np^0q^n[/tex]

Where [tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex] and n = 7; i.e. total number of graduates

For none to get a job, means 0 graduate got a job;

So, we set r to 0 (r = 0)

The probability becomes

[tex]P(none) = ^nC_0p^nq^0[/tex]

Substitute 7 for n

[tex]P(none) = \frac{7!}{(7-0)!0!} * p^7 * q^0[/tex]

[tex]P(none) = \frac{7!}{7!0!} * p^7 * q^0[/tex]

[tex]P(none) = \frac{7!}{7! * 1} * p^7 * q^0[/tex]

[tex]P(none) = 1 * p^7 * q^0[/tex]

Substitute [tex]p = 0.55[/tex] and [tex]q = 0.45[/tex]

[tex]P(none) = 1 * 0.55^7 * 0,45^0[/tex]

[tex]P(none) = 0.01522435234[/tex]

Recall that

[tex]P(none) + P(At\ least\ 1) = 1[/tex]

Substitute [tex]P(none) = 0.01522435234[/tex]

[tex]0.01522435234+ P(At\ least\ 1) = 1[/tex]

Make P(At least 1) the subject of formula

[tex]P(At\ least\ 1) = 1 - 0.01522435234[/tex]

[tex]P(At\ least\ 1) = 0.98477564766[/tex]

[tex]P(At\ least\ 1) = 0.985[/tex] (Approximated)

Answer:

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)

Answer:

x >= 2 or x <= -2

Step-by-step explanation:

|x|>= 2

Means the absolute value of x is greater than or equal to two.

When we deal with absolute value, we can equivalently break into two cases

+x >= 2    => x >= 2

-x >= 2    =>  x <= -2

On the number line it looks like what is shown in the attached figure.    

Answer:170

Step-by-step explanation:

The measure of angle LNP is 275 degrees.

The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.

In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.

The measure of angle  LNP is determined in the following steps given below.

[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]

Hence, the measure of angle LNP is 275 degrees.

Learn more about the inscribed angle theorem here;

https://brainly.com/question/21506400

#SPJ2

Answer:  

3/10

Step-by-step explanation:

Answer:

∠B = 63°, ∠F = 59°

Step-by-step explanation:

Given that  angle D measures 31° and angle A measures 27°.

From the diagram attached, ∠ E = 90°, ∠G = 90°.

Also ∠C + ∠G = 180° (sum of angles on a straight line)

∠C + 90 = 180

∠C = 180 - 90 = 90°

To find the measure of ∠B and ∠F, we use the triangles ABC and DEF, remember that the sum of all interior angles of a triangle is 180°. In triangle ABC:

∠A + ∠B + ∠C = 180° (angles in a triangle).

27 + ∠B + 90 = 180

∠B + 117 = 180

∠B = 180 - 117

∠B = 63°

Also in triangle DEF:

∠D + ∠E + ∠F = 180° (angles in a triangle).

31 + 90 + ∠F = 180

∠F + 121 = 180

∠F = 180 - 121

∠F = 59°

Answer:

x=1/5n

a=1/5(90)*100

The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

Answer:

14.9

Step-by-step explanation:

Given

149

Required

Scale factor of ⅒

The result of a scale factor is the product of an expression by its scale factor.

The result of 149 scale factor of 10 is the product of 149 by 10

In other words;

149 * ⅒

= (149 * 1)/10

= (149)/10

Remove bracket

= 149/10

= 14.9

Hence, 149 scaled down by a factor of ⅒ is 14.9

Answer:

[tex]\boxed{1}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}1 \times 1&2 \times 1\\3 \times 5&4 \times 5 \end{array}\right][/tex]

Answer:

[tex]6x^2 - 6x + 5[/tex]

Step-by-step explanation:

Given

List of Options

Required

Which of the options has a degree of 2

The general format of a polynomial is

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

Where n represents the degree

In this case;

n = 2

Substitute 2 for n in expression above;

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]

[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]

[tex]ax^2 + bx + c *1[/tex]

[tex]ax^2 + bx + c[/tex]

Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]

Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]

Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]

Answer:

6x^2-6x+5

Step-by-step explanation:

Answer:

P(white region) = 0.75 or 75%

Step-by-step explanation:

Find the area of the shaded region:

A = πr²

A = π(2)²

A = 12.56

Find the area of the entire dartboard:

A = πr²

A = π(4)²

A = 50.24

Find the probability that the dart hits the blue region:

P(blue region) = Area of blue region/ Total Area

P(blue region) = 12.56 / 50.24

P(blue region) = 0.25

As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1

P(white region) = 1 - P(blue region)

P(white region) = 1 - 0.25

P(white region) = 0.75

Answer:

[tex]3^{14}[/tex]

Step-by-step explanation:

Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]

To simplify the expression, we apply the addition law of indices.

Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:

[tex]a^x \times a^y=a^{x+y}[/tex]

Therefore, since we have the number 3 as the same base in all the terms:

[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]

Answer:

That right, no picture, no answer

Step-by-step explanation: