Simplify this expression

Answer:

The population of the town in Iowa after 13 years is 9,130

Step-by-step explanation:

The given parameters of the town are;

The population of the town in Iowa in 2007, a = 12,355

The rate at which the people of the town leave Iowa for Minnesota, r = 2.3% per year

We are required to find the population of the town after t = 13 years

The given population decay function is presented as follows;

[tex]f(t) = a \cdot (1 - r)^t[/tex]

Where;

a = The initial population of the town = 12,355

r = The annual percentage rate at which the people of the town leave Iowa for Minnesota = 2.3% per year = 0.023

t = The number of years over which the population changes = 13 years = 13

∴ f(13) = 12,355 × (1 - 0.023)¹³ = 9130.02734094

Therefore, the population of the town in Iowa after 13 years ≈ 9,130 (we round down to the nearest whole number).

Answer:

x=6

Step-by-step explanation:

4.3 + 3.2x = 23.5​

-4.3 on both sides

3.2x=19.2

divided by 3.2

x=6

Answer:

Line segment PM = 4.2 length

ML = 6.2

ON = 3

NK = 2

Step-by-step explanation:

Just got it on plato your welcome:)

The segments formed by each transversals and the three parallel lines are

proportional according to the three parallel lines theorem.

The observations are;

Reasons:

The question is a four part question

Let the equations of the parallel lines be as follows;

Line, x; y = x

Line, y; y = x + 1

Line z; y = x + 2

The points at which transversal 1 intersect the lines x, y, and z, are;

A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)

The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)

The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)

The ratio of the lengths of the segment formed by transversal 1 is therefore;

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]

The points at which transversal 2 intersect the lines x, y, and z, are;

D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)

The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)

The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]

Therefore;

Which gives;

The the comparison can also be made with the triangle proportionality theorem.

Learn more about triangle proportionality theorem here:

https://brainly.com/question/8160153

Answer:

about 5.99 or D. 6 cm

Step-by-step explanation:

you can use this formula

[tex]V=4/3 * \pi *r^{3}[/tex]

9514 1404 393

Answer:

  AB = [[-6, -1][-4, 6][-15, 10]]

Step-by-step explanation:

Any of a number of on-line, spreadsheet, or calculator tools will find the matrix product for you.

The input and output of one such tool is shown below.

__

As you know, each term in the product matrix is the sum of products of a row in the left matrix and a column in the right matrix. The coordinates of that row and column are the coordinates of the result in the product matrix.

For example, row 2, column 1 of the product matrix is the sum of products ...

  (4)(-3) +(-2)(-4) = -12 +8 = -4 . . . . row 2, column 1 of the result

Answer:

The answer is 10.

Step-by-step explanation:

4 + 7 x 2 - 8.

7 x 2 = 14

4 + 14 = 18

18 - 8 = 10

So, the answer is 10

Hope this helps! :)

Using the BODMAS rule, the value of the expression  (4+7x2 –8) is 10.

BODMAS is a system that decides the preference of mathematical operations to solve an expression.

B stands for Bracket

O stands for of

D stands for division

M stands for multiplication

A stands for addition

S stands for subtraction.

So,  In the given expression (4 + 7 x 2 – 8) first, we will do multiplication

i.e. 4+14-8

Secondly, we will do the addition

i.e. 18-8

Lastly, we will subtract

10

Hence, using the BODMAS rule, the value of the expression  (4+7x2 –8) is 10.

To get more about BODMAS visit:

https://brainly.com/question/24383445

Answer:

WOAH!!!!

Step-by-step explanation:

Thx for sharing that!

Mark as brainlist plssss.

Answer:

Wow

Step-by-step explanation:

Answer:  Gradpoint answer

C.

7

Step-by-step explanation:  Math.way answer

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

z = 0 ,  7/ 4

Decimal Form:

z = 0 ,  1.75

Mixed Number Form:

z = 0 ,  1  3/ 4

Answer:

7

Step-by-step explanation:

(z – 4)(2z + 1) = z(2z + 1) – 4(2z + 1) = 2z2 + z – 8z – 4 = 2z2 – 7z – 4

The second term is –7z, so 7 fills in the blank.

Answer:

If 31 is a option I would pick it.

Step-by-step explanation:

The problem we are solving is:

15% of ____ is 4.65.

This means that 0.15 x ? = 4.65

So ? = 4.65 / 0.15

Therefore ? = 31.

So the original number is 31.

Answer:

I don't know

Step-by-step explanation:

I don't know

Answer:

Function notation means to replace y= into f(x)=. So I think that it would be f(x) = 40 +12d.

Step-by-step explanation:

Answer:

[tex](4,-20)[/tex]

Step-by-step explanation:

Let [tex]P(x,y),\,Q(u,v)[/tex] be two points then midpoint of [tex]PQ[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2})[/tex]

Put midpoint as [tex](6,-10)[/tex] and [tex](u,v)=(8,0)[/tex]

Therefore,

[tex](\frac{x+u}{2},\frac{y+v}{2})=(6,-10)\\\\(\frac{x+8}{2},\frac{y+0}{2})=(6,-10)\\\\\frac{x+8}{2}=6,\,\frac{y}{2}=-10\\\\x+8=12,\,y=-20\\x=12-8,\,y=-20\\x=4,\,y=-20[/tex]

So, the other point is [tex](4,-20)[/tex]

Answer: taake this link,  it has all the answers

Step-by-step explanation:                 https://quizlet.com/183183758/statistical-studies-scatterplots-practiceamdm-flash-cards/

The best option for the points on the graph is points are at (0.4, 7.8), (3.1, 6.0), and (9.8, 0.5).

In two-dimensional Cartesian geometry, two intersecting straight lines are used as reference lines. In three-dimensional Cartesian geometry, three straight lines with a common point are the intersections of the three coordinate reference planes.

From the attached file of scatter plot for the data, it is clear that the for every value of x there is a suitable value of y which was given in the question.

Considering x values and plot the y vale on the graph.

For x = 0.4; y = 7.8

For x = 3.1; y = 6.0

and for x = 9.8; y = 0.5

To know more about the Cartesian system, here

https://brainly.com/question/4726772

#SPJ2

Answer: 30

Step-by-step explanation: Both of them are thirty because total angle adds up to 180 on a triangle

Answer:

option c.

by Pythagoras theorem.

hypotenuse²=height ²+base²

20²=x²+12²

400=x²+144

400-144=x²

256=x²

256½=x

16=x

Here are the characteristics of Quadratic Functions

Axis of symmetry

x and y-intercepts

Zeroes

vertex

Point symmetric to y-intercept

Answer:

Step-by-step explanation:

there is 1,000 total students... so divide 360 / 1000

so you have 0.36 for each student... then multiply by the freshmen,  

.36 * 300 = 108  :)

Answer:

x = 9

Step-by-step explanation:

5x + 7 = 52

5x = 52-7

5x = 45

x= 9

Answer:

number of females =16

Step-by-step explanation:

100% + 25% =125%. 125%=number of males. 100\125 ×20=16. 20 - 16 =4

Answer:

A(x) = 3x² + 43x + 14

Step-by-step explanation:

Area of a rectangle = length × width

length = x + 14

width = 3x + 1

Area of a rectangle = length × width

= (x + 14)(3x + 1)

= 3x² + x + 42x + 14

= 3x² + 43x + 14

express the area of each rectangle as a single polynomial in terms of x.

A(x) = 3x² + 43x + 14

Answer:

each friend ate 1/4 of pizza

Step-by-step explanation:

3/4 ÷ 3

= 1/4

Answer:

mDE⌢=129°, and mBC⌢=65°. Find m∠A

Step-by-step explanation:

Answer:

(5,6)

Step-by-step explanation:

I'm guessing you mean the coordinates for the point where the lines intersect

Answer:

I believe it is b: (5,6)

Explanation:

The point (5,6) is the only point on the graph that both lines go through.

Answer:

(3,-1)

Step-by-step explanation:

The given equations are :

x = 3 ..(1)

y+1 = 0 ....(2)

We need to solve the equations graphically. x = 3 means draw a line parallel to y axis.

For y+1=0

y = -1

Draw a line parallel to the negative x axis. The attached figure shows the graph for the given equations. The solution is (3,-1).

Answer:

171

Step-by-step explanation:

This is a Right triangle,

So this means that all the sides should add up to 180,

So far we have 9

So we will have to Subtract 9 from 180 which leaves us with 171,

I hope this is correct!!

Answer:

mean: 5

Step-by-step explanation:

(9 + 3 + 1 + 8 + 3 + 6) / 6 = 5

Answer:

The equation to solve to find the number of yellow marbles =

3y + y = 500

4y = 500

The number of yellow marbles = 125

Step-by-step explanation:

Let the number of

Blue marbles = x

Yellow marbles = y

A large jar contains 500 marbles.

x + y = 500

All of the marbles in the jar are either blue or yellow, and there are 3 times as many blue marbles as yellow marbles.

3y = x

Hence, we substitute 3y for ymx in the above equation

3y + y = 500

4y = 500

y = 500/4

y = 125

The number of yellow marbles = 125