Answer:
AC = [tex]3\sqrt{3}[/tex]
BC = [tex]6\sqrt{3}[/tex]
Step-by-step explanation:
AC is [tex]x\sqrt{3}[/tex] and x = 3 so [tex]3\sqrt{3}[/tex] and it [tex]=3\sqrt{3}[/tex]
BC is [tex]2x[/tex] and x = 3 so [tex]2(3\sqrt{3}) = 6\sqrt{3}[/tex]
Hopefully this was what you wanted, and is correct!
An ice-cream from a restaurant costs $3 originally. The price is reduced to $2 one weekend. What is the percent change?
A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria
if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so
[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]
[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]
Please help with this maze
Answer:
go down then go right
Step-by-step explanation:
Find the median and mean of the data set below:
3,40,15,28
3,40,15,28
Answer:
21.5
Step-by-step explanation:
Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5
Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5
please please please help help help !!
Answer:
The axis of Symmetry divides a line into two equal halves.
Step-by-step explanation
An easy relation to get this value without plotting a graph is x = –b/2a
Where
a = coefficient of x²
b = coefficient of x
From the Question, We need a symmetry of value –½
The only Option that'll give this value is OPTION D
2x – y = 5 – 2x²
Since its a line, Don't forget to make "y" subject before doing any operation.
y = 2x² + 2x – 5
a = 2
b= 2
x = –(2)/2(2)
= –2/4
= –½
Find the volume of a cone with the base of 10 and height of 6
Answer:
Answer = 157
Step-by-step explanation:
The formula to finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the base is 10. This means that the radius is 5 because it is 1/2 of the base. Now we plug in our numbers into the equation and get 157!
Hope that helps! :)
Solve the equation for x. Do not include "x =" in your answer.
-3+√3x-11=5
Help pls
The value of x in the equation is 25
How to solve for x?The equation is given as;
[tex]-3 + \sqrt{3x - 11} = 5[/tex]
Add 3 to both sides
[tex]\sqrt{3x - 11} = 8[/tex]
Take the square of both sides
3x- 11 = 64
Add 11 to both sides
3x = 75
Divide both sides by 3
x = 25
Hence, the value of x in the equation is 25
Read more about equations at:
https://brainly.com/question/2972832
#SPJ1
Does anybody know this?Find the surface area of the triangular prism the ares of the base is 7.75yd
Answer:
10.308
Sure hope this helps you
Name the property used in the equation 1=6n. Then find the value of n.
Answer:
1=6
Step-by-step explanation:
Divide both sides of the equation by the same term
1=6
What is the area of this figure
Answer:
105 units²
Step-by-step explanation:
Area of triangle = ½bh
b = 11 + 4
b = 15
A = 2(½15(7))
2 and ½ cancel
A = 15(7)
A = 105 units²
Mr smith has 28 children if he wants 2 give 2 sweets to his class how many sweets
Answer:
56
Step-by-step explanation:
If each child gets 2 sweets then we have to multiply the number of children by 2.
[tex]28 \times 2 = 56[/tex]
Answer:
30 sweets.
Add 28 and 2.
NEED HELP ASAP
Question A.) k=5
Question B.) ????
Answer:
b) [tex]f^{-1}(x) = \frac{4x+5}{3}[/tex]
Step-by-step explanation:
b) To find the inverse function, switch the [tex]x[/tex] and [tex]y[/tex] variables and solve for [tex]y[/tex]:
[tex]f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}[/tex]
Verify Answer:
[tex]f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1[/tex]
How many sides does a regular n-gon have if the measure of one interior angle is 165?
The supplement of each interior angle has measure
180° - 165° = 15°
and so
n = 360°/15° = 24
since the exterior angles add up to 360° and are all congruent.
can someone please help me solve these math problems they are about triangle proofs
Answer:
Besides the givens:
12.
AC = EC, BC = DC; Definition of Midpoint
<ACB = <ECD; Vertical Angles Theorem
Triangle ABC = Triangle EDC; SAS Congruence Postulate
13.
AD = CD; Definition of Median
BD = BD; Reflexive Property
Triangle ABD = Triangle CBD; SSS Postulate
Step-by-step explanation:
None necessary.
Will mark brainlist to whoever answers first
Answer:
the answer is (6,5) pls mark brainest
Answer:
The answer is D.) (6,5)
Step-by-step explanation:
When the first point goes right, you add it, and when the second point goes down, you subtract it
Which relations are functions?
Choose all answers that are correct:
Answer:
A. B and D are functions
Step-by-step explanation:
Functions are either one-to-one or many-to one (x-value --> y value)
C is not a function because -3 (x) maps to 1 and also to 0 (y).
please help me solve this
Answer:
i actually don't know
Step-by-step explanation:
What is 3-eighths times 4 and 3-sixths times 4?
You will be marked Brainliest if you answer this question correctly!
Please help ASAP
Answer:
As a fraction it would be 4.5
Step-by-step explanation:
3/4 × 6 = 92 = 4 12 = 4.5
Make g the subject of the formula [tex]w=7-\sqrt{g}[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{g}[/tex] = 7-w
([tex]\sqrt{g}[/tex] )^2 = (7-w)^2
g = (7-w)^2
A rectangular garden has an area of 144 ft². If the base is 8 ft long, what is the height?
18 ft
36 ft
64 ft
72 ft
Answer:
The Answer is 18
Hope this helps! :)
Step-by-step explanation:
nd Distances in the Coordinate Plane
What is the distance between the points (4, 7) and (4,-5)?
0 units
O2 units
O4 units
12 units
Answer:
12 units
Step-by-step explanation:
(4, 7) and (4, -5)
7-(-5)=12
4-4=0
What is the point-slope form of a line with slope -5 that contains the point
a
(2,-1)?
The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
What is point slope form?The point slope form of a line is the expression of line which has a specified slope and passes through a point.
The point slope form is givne as,
(y-y₁)=m(x-x₁)
Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.
The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,
(y-y₁)=m(x-x₁)
(y-(-1))=-5(x-2)
(y+1)=-5(x-2)
Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
Learn more about the point slope form here;
https://brainly.com/question/6497976
#SPJ1
How do I find the domain range and function of the graph
Answer:
D = {-3, -2, -1, 1, 4}
R = {-5, -1, 0, 2}
Step-by-step explanation:
You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.
__
The domain is the set of x-values of the points on the graph:
D = {-3, -2, -1, 1, 4}
The range is the set of (unique) y-values of the points on the graph:
R = {-5, -1, 0, 2}
does anyone know what 3 x (8+2) x 5 is? i really need it for homework due tomorrow thank you!
One winter day, the temperature at noon was -9f The temperature then rose by 1/2 degree each hour for 3 hours before dropping by 2 1/4 degrees each hour for 2 hours. What was the temperature, in degrees Fahrenheit, at 5 PM?
Answer:
The temperature at 5 PM was - 12°FStep-by-step explanation:
One winter day, the temperature at noon was -9°F.
The temperature then rose by 1/2 degree each hour for 3 hours:
1/2 × 3 = 3/2 = 1 1/2The temperature then dropped by 2 1/4 degrees each hour for 2 hours:
- 2 1/4 × 2 = - 4 2/4 = - 4 1/2Now add up all three values to find the final value:
- 9 + 1 1/2 - 4 1/2 = - 9 + 1 - 4 = - 12Find the perimeter of the triangle.
20 ft
21 ft
Answer:
29 feet
Step-by-step explanation:
20^2 + 21^2 = 841
841sqrt = 29 feet
What is the Parent Function?
What Are The Transformations?
Answer:
Parent function:
[tex]x^2+y^2=r^2[/tex]
General equation:
[tex](x-h)^2+(x-k)^2=r^2[/tex]
Transformations:
Its a circle with a center of (100,60) and a radius of 15
Nandlal bought 20 dozen notebooks at Rs.156 per dozen.He sold 8 dozens of them at 10% gain and the remaining 12 dozens at 20% gain.What is his gain percent on the whole transaction?
Answer:
[tex]8(156 \times 1.1) + 12(156 \times 1.2) [/tex]
can someone please help me to work this out
Answer:
13.64 cm²
Step-by-step explanation:
Area of Trapezoid :
1/2 x (a + b) x ha and b = parallel side lengthsh = heightSolving :
1/2 x (5.2 + 3.6) x 3.11/2 x 8.8 x 3.14.4 x 3.113.64 cm²Answer:
13.64 square centimeters
Step-by-step explanation:
Hey there!
The formula to finding the area of a trapezoid is:
1/2 (p + q) h
Where h is the height, p is the shorter base and q is the longer base
In this case
p - 3.6
q - 5.2
h - 3.1
1/2 (3.6 + 5.2) 3.1
1/2 (8.8) 3.1
(4.4) 3.1 --> 4.4 x 3.1
13.64
So, the area of this trapezoid is 13.64 square centimeters
Find the slope from the graph.
Answer:
The answer is -3/2.