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
Alecsey [184]
3 years ago
12

A rectangular park is 6x + 2 ft long and

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

Answer: 18x^2 + 48x - 50

Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.

The area of the square is given as

Area = L x B, where A and B are of equal measurement (sides of a square)

Area = 8 x 8

Area = 64 ft^2

Next we calculate the area of the rectangle which is given as

Area = L x B, where L = 6X + 2 and W = 3X + 7

Area = (6X + 2) (3X +7)

Area = 18X^2 + 42X + 6X + 14

Area = 18X^2 + 48X + 14

We can now subtract the area of the square from the area of the rectangle

That is Area of the shaded region

= 18X^2 48X + 14 - 64

= 18X^2 + 48X - 50

Therefore, the area of the shaded region = 18X^2 + 48X - 50

You might be interested in
Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin
Elanso [62]

Answer:

The equation of circle is x^2+y^2=65.

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula the radius of circle is

r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2         .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and r=\sqrt{65} in equation (1).

(x-0)^2+(y-0)^2=(\sqrt{65})^2

x^2+y^2=65

Therefore the equation of circle is x^2+y^2=65.

5 0
3 years ago
I arrive at a bus stop at a time that is normally distributed with mean 08:00 and SD 2 minutes. My bus arrives at the stop at an
Nimfa-mama [501]

Answer:

0.0485 = 4.85% probability that you miss the bus.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We have to find the distribution for the difference in times between when you arrive and when the bus arrives.

You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:

\mu = 0 - 5 = -5

The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So

\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}

The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?

You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.

Z = \frac{X - \mu}{\sigma}

Z = \frac{1 - (-5)}{\sqrt{13}}

Z = \frac{6}{\sqrt{13}}

Z = 1.66

Z = 1.66 has a pvalue of 0.9515

1 - 0.9515 = 0.0485

0.0485 = 4.85% probability that you miss the bus.

5 0
3 years ago
If f (x) = 6x - 6, find f(-1).
densk [106]

Answer:

Step-by-step explanation:

1

7 0
3 years ago
Read 2 more answers
the value in dollars, v(x), of a certain truck after x years is represtented by the equation v(x)=32500(0.92)* ( *=to the x powe
vekshin1
The value of track is given by:
V(x)=32500(0.92)^x
when x=2
V(2)=32500(0.92)^2=$27508

when x=3
V(3)=32500(0.92)^3=$25,307.36

Difference in values will be:
27508-25307.36
=$2,200.64 

3 0
3 years ago
If the price of upholstery fabric is $12.49 per yard, how much will 16 yards cost?
Oliga [24]
16 yards will cost $199.84 assuming there is no tax. We know this because

12.49 X 16 = 199.84
7 0
3 years ago
Read 2 more answers
Other questions:
  • Four universities - 1, 2, 3, and 4 - are participating in a holiday basketball tournament. In first round, 1 will play 2 and 3 w
    15·1 answer
  • Write in standard 7.125×10^-9
    14·1 answer
  • Pleaseeee help! I'm really confused.
    8·1 answer
  • 6 1 4 (x− 2 3 )=9 3 8
    14·2 answers
  • Help me please thank youu
    10·1 answer
  • Jonas wants to serve serve 48 people one cup of tea each. How many gallons of tea must he prepare?
    9·1 answer
  • A rental car agency charges $190.00 per week plus $0.25 Per mile to rent a car. How many miles can you travel in one week for $4
    12·1 answer
  • Matthew has 3 1/4 gallons of lemonade. He sells 4/8 of the lemonade. How many gallons of lemonade does Matthew have left?
    5·1 answer
  • Kendra is considering enrolling in two acting schools. One school requires a registration fee of $75 and charges $18 per class.
    7·1 answer
  • HELPPPP WITH ALL OF THE 3 PLSSS
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!