1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ElenaW [278]
3 years ago
7

The number of residents in a city is 57,000 people. The population is increasing each

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0
Y = 0.012x + 57,000

12% translates to 0.012. That number is in front of the x because it changes yearly.

The 57,000 is added afterwards (b) because it was there from the beginning
You might be interested in
Maria makes $16 per hour. She gets a 18% raise. What is her new hourly<br> rate?
Mariana [72]

Answer:

$18.88 per hour.

Step-by-step explanation:

We first need to find 18% of $16.

16 * 0.18 = 2.88

The pay rate increases by $2.88.

$16 + $2.88 = $18.88

Hope this helps.

8 0
2 years ago
A closet contains n pairs of shoes. If 2r shoes are chosen at random, (where 2r &lt; n), what is the probability that there will
Pie
We are choosing 2
2
r
shoes. How many ways are there to avoid a pair? The pairs represented in our sample can be chosen in (2)
(
n
2
r
)
ways. From each chosen pair, we can choose the left shoe or the right shoe. There are 22
2
2
r
ways to do this. So of the (22)
(
2
n
2
r
)
equally likely ways to choose 2
2
r
shoes, (2)22
(
n
2
r
)
2
2
r
are "favourable."

Another way: A perhaps more natural way to attack the problem is to imagine choosing the shoes one at a time. The probability that the second shoe chosen does not match the first is 2−22−1
2
n
−
2
2
n
−
1
. Given that this has happened, the probability the next shoe does not match either of the first two is 2−42−2
2
n
−
4
2
n
−
2
. Given that there is no match so far, the probability the next shoe does not match any of the first three is 2−62−3
2
n
−
6
2
n
−
3
. Continue. We get a product, which looks a little nicer if we start it with the term 22
2
n
2
n
. So an answer is
22⋅2−22−1⋅2−42−2⋅2−62−3⋯2−4+22−2+1.
2
n
2
n
⋅
2
n
−
2
2
n
−
1
⋅
2
n
−
4
2
n
−
2
⋅
2
n
−
6
2
n
−
3
⋯
2
n
−
4
r
+
2
2
n
−
2
r
+
1
.
This can be expressed more compactly in various ways.
4 0
3 years ago
Determine the shaded area. This figure is not drawn
AleksAgata [21]

Given that a unshaded rectangle is inscribed in a shaded circle, the area of the shaded region is 72.67m².

Given that a unshaded rectangle is inscribed in a shaded circle.

  • Diameter of the circle d = 13m
  • Radius r = d/2 = 13m/2 = 6.5m
  • Dimension of length of the rectangle l = 12m
  • Dimension of width of the rectangle w = 5m
  • Area of the shaded region As = ?

First we calculate the area of the shaded circle.

A = πr² =  π × ( 6.5m )²

A = 132.665m²

Area of the shaded circle is 132.665m².

Area of the unshaded rectangle will be;

A = l × w

A = 12m × 5m

A = 60m²

Area of the unshaded rectangle is 60m².

Now, area of the shaded region will be;

= Area of the shaded circle - Area of the unshaded rectangle

= 132.665m² - 60m²

= 132.665m² - 60m²

= 72.67m²

Given that a unshaded rectangle is inscribed in a shaded circle, the area of the shaded region is 72.67m².

Learn more about area polygons here: brainly.com/question/22590672

#SPJ1

8 0
2 years ago
When you multiply (-10+-8i)(1+9i). you get an answer of the form a+bi. Find b.
il63 [147K]
I’m pretty sure the complete answer is -10-90i
So the answer would be B= -90
8 0
3 years ago
A cylinder has a volume of 900 cu cm and a base with a diameter of 14 cm. Find the height of the cylinder to two decimal places.
gizmo_the_mogwai [7]

Answer:

The height of the cylinder is 5.85 cm.

Step-by-step explanation:

Given that,

Volume of cylinder, V=900\ cm^3

Diameter of the base of cylinder, d = 14 cm

Radius, r = 7 cm

We need to find the height of the cylinder. The volume of cylinder is given by :

V=\pi r^2h

h is height of cylinder

h=\dfrac{V}{\pi r^2}

h=\dfrac{900}{\dfrac{22}{7}\times (7)^2}\\\\h=5.85\ cm

So, the height of the cylinder is 5.85 cm.

3 0
3 years ago
Other questions:
  • Name the place value to which each number was rounded 0.982to 0.98
    10·1 answer
  • How do I evaluate an expression?
    6·1 answer
  • What would the angle of w equal?
    9·2 answers
  • The average weights of the dogs are the same for the morning and afternoon groups. Which group of dogs would be easiest to walk
    15·2 answers
  • A. 3<br> B. 1/3<br> C. -3<br> D. -1/3
    12·1 answer
  • Are the ratios 6:3 and 2:1 equivalent?
    13·1 answer
  • Check cashing companies
    9·1 answer
  • A total of 640 people voted in an election. the circle graph shows the results.
    14·2 answers
  • 5x = 40 what does the x going to equal
    5·2 answers
  • Please help with this geometry work asp
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!