Evaluate the expression.

StartFraction 16.8 minus 1.2 squared over negative 4.3 + 3 (negative 0.7) EndFraction = StartFraction 16.8 minus 1.44 over negative 4.3 + (negative 2.1) EndFraction

Final answer:

The population of a city with an initial population of 300,000 and an 11% annual growth rate can be modeled by the exponential growth equation [tex]y = 300,000(1 + 0.11)^x,[/tex] where x represents the number of years.

Explanation:

To model the population growth of the city with an initial population of 300,000 and an annual growth rate of 11%, we use an exponential growth equation. This type of growth can be represented by the equation y = P(1 + r)^x, where P is the initial population, r is the growth rate in decimal form, and x is the number of years.

For this scenario, P = 300,000 and r = 0.11 (since 11% as a decimal is 0.11). Therefore, the equation to model the population, y, after x years is:[tex]y = 300,000(1 + 0.11)^x,[/tex]

This equation assumes that the growth rate remains constant over the years and that there are no other factors affecting the population size.

Answer:

1 x 106 = 106

2 x 53 = 106

53 x 2 = 106

106 x 1 = 106

Step-by-step explanation:

(happy to help)

Answer:

1 x 106 = 106

2 x 53 = 106

53 x 2 = 106

106 x 1 = 106

 Give me Brainliest Plz

Answer:1d

Step-by-step explanation:

Step-by-step explanation:

Bringing like terms on one side

8d - 7d = 6

d = 6

Answer:

yes

Step-by-step explanation:

It is a parabola, Every y has a unique x value

Answer:

[tex] x = \sqrt{30} [/tex]

Step-by-step explanation:

By Geometric mean property:

[tex]BD = \sqrt{3 \times 7} \\ BD = \sqrt{21} \\ by \: pythagoras \: theorem \\ {x}^{2} = { (\sqrt{21}) }^{2} + {(3)}^{2} \\ {x}^{2} = 21 + 9 \\ {x}^{2} = 30 \\ x = \sqrt{30} [/tex]

Answer:

right triangle or scalene

Answer:

49

Step-by-step explanation:

140*0.07*5= 49

Answer:

9 and 15

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

x +y= 24 -----(1)

x -y= 6

x= y +6 -----(2)

Substitute (2) into (1):

y +6 +y= 24

2y +6= 24 (simplify)

2y= 24 -6 (-6 on both sides)

2y= 18

y= 18 ÷2

y=9

Substitute y= 9 into (2):

x= 9 +6

x= 15

Thus the numbers are 9 and 15.

Answer:

Trapezoid

Step-by-step explanation:

Answer:

Trapezoid I've had this and that's what i answered

Step-by-step explanation:

Answer:

12.56

Step-by-step explanation:

Answer: 1. 4, 2. 2,

Step-by-step explanation: The small tire would make about 4 rotation, the big tire wold make about 2 rotations

Hope this helps :)

Answer: The best player is expected to make  

21 more free​ throw(s).

Step-by-step explanation:

1) Make a proportion

2) Find the unknowns

3) subtract the grater number from the smaller one

4) That's it.

Answer:

Type the answer that the other person gave and boom. a.k.a 21

Step-by-step explanation:

Based on statistics for the past several​ seasons, the probability that the best player on a basketball team makes a free throw is 8/10

. The probability that the​ second-best player makes a free throw is 13/20

. If both players attempt 140 free throws over a​ season, how many more free throws is the best player expected to​ make?

Answer:

49 baseball cards.

Step-by-step explanation:

First you want to add 5 cards to the 55 for the 5 he traded for the one. You get 60. Then subtract the 11 cards that he was given for the 1. You end up with 49 baseball cards.

Answer:

x=−6 and y=1

(a)

Answer:

46 minutes

Step-by-step explanation:

Answer:

S = {-1, 0, 1}

Step-by-step explanation:

First we need to solve the inequation x^2<=3

Using square root in both sides, we have:

|x| <= 1.73

Separating the module in two, we have:

x <= 1.73

x >= 1.73

So we have that -1.73 <= x <= 1.73

Solving this inequation only with integer values, we have:

x = -1, x = 0 or x = 1

So the set of integer solutions is S = {-1, 0, 1}

Answer:

A :572.3

Step-by-step explanation:

i used a circle calculator

Answer:

-26

Step-by-step explanation:

If the temperature dropped by 14 degrees than it decreased by 14, which means we subtract:

-12-14= -26

Answer:

6

Step-by-step explanation:

The slope (m) can be found using the formula ...

 m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

 m = (2 -(-10))/(17 -15) = 12/2

 m = 6

Answer:

Total area= 207 ft^2

Step-by-step explanation:

You can divide the figure to make 2 big rectangles.

The first has a base of 15 ft and a height of 15 ft

A1 = b * h

A1= 15 ft * 9 ft        A1= 135 ft^2

The second has a base of 12 ft and a height of 6 ft

A2= b*h

A2= 12 ft * 6 ft

A2= 72 ft^2

Total area= A1+A2= 135 ft^2 + 72 ft^2  

Total area= 207 ft^2

Answer:

Final result :  

(sorry if this is long)

 a3 - 5a2 + 4a + 5

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((4a-(a3))-3)+(((2•(a3))-5a2)+8)

Step  2  :

Equation at the end of step  2  :

 ((4a-(a3))-3)+((2a3-5a2)+8)

Step  3  :

Checking for a perfect cube :

3.1    a3-5a2+4a+5  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  a3-5a2+4a+5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  4a+5  

Group 2:  a3-5a2  

Pull out from each group separately :

Group 1:   (4a+5) • (1)

Group 2:   (a-5) • (a2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(a) = a3-5a2+4a+5

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  5.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5

Hope it helps!!

Answer:

1.2

Step-by-step explanation:

9/5*2/3=1.2

Answer:

1 1/5

Step-by-step explanation:

9/5 • 2/3 = 1.2 = 1 2/10 = 1 1/5

1.2 cm + ( 9 × 1.7 cm ) = 16.5 cm

30 cm - ( 9 × 1.5 cm ) = 16.5 cm

So the answer is 9 seconds!

Hope this helps :)

Let me know if my answer is incorrect or something :0

Answer:

Step-by-step explanation:

x=0     y=6-2*0=6

x=1      y=6-2*1=4

x=2      y=6-2*2=2

x=3      y=6-2*3=0

6-2x=3

-6       -6

-2x=-3

2x=3

:2    :2

x=3/2

x=1.5

Answer:

b = 33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

Answer:

do 3 dived by 2 they the awnser times seven then add 105 then multiply 60 then carry the 3 then add 10 and 6 then add 16 to the awnser and boom!

Step-by-step explanation:

Answer: (C) the linear

Step-by-step explanation:

at x = 3 the y-value ... is growing

Answer:

Step-by-step explanation:

The rate of growth (the slope of the transformed curve) is first higher than for an exponential function, but later it goes down. ... Initially, the quadratic function grows much faster. The function x² grows from 0 to 1 in finite time, while the exponential function takes from minus infinity to 0.

Answer:

5,4

Step-by-step explanation:

We normally plot the coordinates by (x,y)

Given,x=-5 units away=5(since there is no -ve direction)

y=4 units away=4(since there is no-ve direction)

We have,(x,y)=(5,4)

Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)

Answer:

5,4

Step-by-step explanation:

We normally plot the coordinates by (x,y)

Given,x=-5 units away=5(since there is no -ve direction)

y=4 units away=4(since there is no-ve direction)

We have,(x,y)=(5,4)

Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)

Hope this helps!!❤️❤️❤️

Answer:

The area of the shaded region is 42.46 cm2

Step-by-step explanation:

Answer:

5 x 5 = 25

25 x 3.14 = 78.5

11 x11 = 121 - 78.5 = 42.5

42.5 cm

Step-by-step explanation: