9514 1404 393
Answer:
(x +1)^2 +(y -3)^2 = 4
Step-by-step explanation:
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The graphed circle is centered at (h, k) = (-1, 3), and has radius 2, so its equation is ...
(x +1)^2 +(y -3)^2 = 4
What is the area of the rectangle?
2 feet
6 feet
square feet
Answer:
The area of the rectangle is 12
6x2=12
2
3
us
DO
ON
7
45
US
S
Answer:
9.8 sq. in.
Step-by-step explanation:
A = πr²
Diameter: 10 inches
Radius: 5 inches
A = π · 5²
A = π · 25
A = 78.54
Section 4 is about one eighth of the circle.
78.54 ÷ 8
9.8175
9.8175 ≈ 9.8
Help me PLEASEEEEEEEEEEEEE
Answer:
C) 6t=c because you are trying to find c not the number of tables and no addition is needed.
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time. The town consumed 4.44.44, point, 4 trillion British thermal units (BTUs) initially, and it consumed 5.55.55, point, 5 trillion BTUs annually after 555 years. What is the town's annual energy consumption, in trillionso f BTUs, after 9 years?
Answer:
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
Step-by-step explanation:
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.
This means that the consumption after t years is given by the following differential equation:
[tex]\frac{dC}{dt} = kC[/tex]
In which k is the growth rate.
The solution is, applying separation of variables:
[tex]C(t) = C(0)e^{kt}[/tex]
In which C(0) is the initial consumption.
The town consumed 4.4 trillion British thermal units (BTUs) initially.
This means that [tex]C(0) = 4.4[/tex]
So
[tex]C(t) = C(0)e^{kt}[/tex]
[tex]C(t) = 4.4e^{kt}[/tex]
5.5 trillion BTUs annually after 5 years.
This means that [tex]C(5) = 5.5[/tex]. We use this to find k. So
[tex]C(t) = 4.4e^{kt}[/tex]
[tex]5.5 = 4.4e^{5k}[/tex]
[tex]e^{5k} = \frac{5.5}{4.4}[/tex]
[tex]e^{5k} = 1.25[/tex]
[tex]\ln{e^{5k}} = \ln{1.25}[/tex]
[tex]5k = \ln{1.25}[/tex]
[tex]k = \frac{\ln{1.25}}{5}[/tex]
[tex]k = 0.0446[/tex]
So
[tex]C(t) = 4.4e^{0.0446t}[/tex]
After 9 years?
This is C(9). So
[tex]C(9) = 4.4e^{0.0446*9} = 6.57[/tex]
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
plssss answer no links !!
X=
0 4
06
0 12
pls help !
Answer:
maube 12
Step-by-step explanation:
i am not sure ..but try ur luck
Which statement about the graph of y = tan x is true?
a rectangle park has a perimeter of 80m one side measures 16m what are the lengths of the other three sides
Answer:
16m 24m and 24m
Step-by-step explanation:
Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.
i need to answer for the parentheses
Answer:
(4x+2) +(3x+4)
Step-by-step explanation:
2(6x²+11+4)
(6x+3)+(3x+4)
12x²+16x+6x+8
12x²+22x+8
let me know if this helps guys my husband helped me with it he is good at math
A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)
Answer:
The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]
Step-by-step explanation:
Exponential model of population growth:
An exponential model for population growth has the following model:
[tex]n(t) = n(0)(1+r)^t[/tex]
In which n(0) is the initial value and r is the growth rate, as a decimal.
Observed to double every 5 hours.
This means that [tex]n(5) = 2n(0)[/tex]
We use this to find 1 + r. So
[tex]n(t) = n(0)(1+r)^t[/tex]
[tex]2n(0) = n(0)(1+r)^5[/tex]
[tex](1+r)^5 = 2[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.1487[/tex]
So
[tex]n(t) = n(0)(1+r)^t[/tex]
[tex]n(t) = n(0)(1.1487)^t[/tex]
Initially has 45 bacteria
This means that [tex]n(0) = 45[/tex]. So
[tex]n(t) = n(0)(1.1487)^t[/tex]
[tex]n(t) = 46(1.1487)^t[/tex]
The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]
Find the equation of the line that contains the points (-4,3) and (4,3).
Answer:
yes
Step-by-step explanation:
Given that is directly proportional to (p-1)2 and p is always positive, find the
value of p when q = 80 , if 9= 30 when p = 7
A) 4
B) 6
Ch 10.82
Answer:
p = 10.8
Step-by-step explanation:
Given that p is directly proportional to (p-1)² and p is always positive, then;
q = k (p-1)²
If q = 30 and p = 7
30 = k(7-1)²
30 = 6²k
30 = 36k
5 = 6k
k = 5/6
To get p when q = 80
q =k (p-1)²
80 = 5/6((p-1)²
480 = 5(p-1)²
480/5 = (p-1)²
(p-1)² = 96
p-1 = √96
p-1 = 9.8
p = 9.8 + 1
p = 10.8
B) 6
Ch 10.82
A sphere has a radius of 3 centimeters. What is the volume of the sphere?
367 cm
727 cm
1447 cm
2887 cm
оо
Answer:
Volume = 113.1 cubic cm
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi 3^3 = 4 \pi \times 9 = 36 \pi=113.1 cm^3[/tex]
A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins. Find the experimental probability of landing on each color. Enter your answers as simplified fractions.
Red 12
Yellow 18
Blue 5
Answer:
red: 12/35
yellow: 18/35
blue: 1/7
Step-by-step explanation:
The experimental probability is the total number of each outcome over the total outcomes. The total outcomes would be the sum, 12 + 18 + 5, or 35.
If we are looking for the experimental probability of red, we divide the spins on red by the total:
red - [tex]\frac{12}{35}[/tex]
If we are looking for the experimental probability of yellow, we divide the spins on yellow by the total:
yellow - [tex]\frac{18}{35}[/tex]
If we are looking for the experimental probability of blue, we divide the spins on blue by the total:
blue - [tex]\frac{5}{35}[/tex] = [tex]\frac{1}{7}[/tex]
Which net will fold into a rectangular prism?
Answer: it is the 4 one
Step-by-step explanation:
I have attached the answer, I hope this helps! :D (If the attachment doesn't work, the answer is the one in the bottom right corner)
Hurry which one
A.70
B.84
C.112
D.138
Answer:
A = 84 ft^2
Step-by-step explanation:
A = bh where b is the base and h is the height
A = 12*7
A = 84 ft^2
I need help finding the slope. I will report you if you use a link
3/4 up 3 over 4, its a positive slope
Write the equation of the line in slope-intercept form.
Answer:
y = 50x + 40
Step-by-step explanation:
2 points on the graph:
(0, 40) and (2, 140)
Slope:
m=(y2-y1)/(x2-x1)
m=(140 - 40)/(2 - 0)
m=(100)/2
m= 50
Slope-intercept:
y - y1 = m(x - x1)
y - 40 = 50(x - 0)
y - 40 = 50x
y = 50x + 40
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
18y – 3.x = -90
Answer:
The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
In this question:
[tex]18y - 3x = -90[/tex]
Isolating y:
[tex]18y = 3x - 90[/tex]
[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]
Simplifying the fractions:
[tex]y = \frac{x}{6} - 5[/tex]
The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]
Which ratio is equivalent to the ratio 33:39?
Answer:
[tex]33 : 39 \equiv11 : 13[/tex]
A password is made up of 4 letters. If the letters can be repeated how many passwords can be created. NO LINKS!!!
Answer:
456,796 passwords
Step-by-step explanation:
Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords
algebra 2 question. need help
Answer:
Step-by-step explanation:
Log25 1000
Answer:
log5 (1000)
Step-by-step explanation:
logb (x) + logb (y) = logb (xy)
log5 (4) + log5 (250) = log5 (4 * 250) = log5 (1000)
I’m sorry to whoever has to do edg next year
Express the confidence interval (63.3%, 79.1%) in the form of ˆp ± ME.
___% ± ___%
Answer:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Step-by-step explanation:
Given
[tex](63.3\%,79.1\%)[/tex]
Required
Express in form of: [tex]p \± ME[/tex]
First, calculate the midpiont (p)
[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]
[tex]p = \frac{142.4\%}{2}[/tex]
[tex]p = 71.2\%[/tex]
The margin of error (ME) is:
[tex]ME =79.1\% - 71.2\%[/tex]
[tex]ME =7.9\%[/tex]
So, we have:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
can someone answer this!?
Answer:
x = 58
Step-by-step explanation:
Hope this helps
enjoy
Answer:
the answer is d because that is how much degrees it is
Step-by-step explanation:
I need a answer ASAP
Answer:45-67-3
Step-by-step explanation:
Answer:
6 faces
Step-by-step explanation:
what is the mathematical representation of joules law of heating ?
Answer:
Q = I^2 R T
Step-by-step explanation:
What is the mathematical representation of joules law of heating
What is joules law of heating ??
Joule’s law is a mathematical description of the rate at which resistance in a circuit converts electric energy into heat energy.
Mathematically
Q = I^2 R T
Where,
Q indicates the amount of heat
I show electric current
R is the amount of electric resistance in the conductor
T denotes time
Find the volume of the hexagonal prism .
please help . Work due in 20 minutes and I can’t get this one
Answer:
[tex](\frac{3\sqrt{3} }{2}(14)^2)*16[/tex]
[tex]=509.22+16[/tex]
[tex]8147.52m^3[/tex]
[tex]ANSWER:8147.50~m^3[/tex]
---------------------------
hope it helps..
have a great day!!
How do you solve the equation 3 1/5 +n=9?
Answer:
n = [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
You obviously have to solve for n
WILL GIVE BRAINLIST
MATH
CONVERT EACH MEASUREMENT
SHOW STEPS ALL
18 pints to gallons
Answer:
2.25 Gallons.
Step-by-step explanation:
A pint is [tex]\frac{1}{8} th[/tex] of a gallon or 0.125.
Multiply 18 pints by 0.125.
18 · 0.125 = 2.25
To Check Work:
Divide 2.25 by 0.125 to equal 18.
[tex]\frac{2.25}{0.125} = 18[/tex]
Divide 2.25 by 18 to equal 0.125.
[tex]\frac{2.25}{18} = 0.125[/tex]