Answer:
A = 60 cm²
Step-by-step explanation:
Given that,
The area of a circle, A = 20 cm²
It is enlarged 3 times.
We need to find the area of the enlarged circle.
Area of the enlarged circle,
A = 20×3
= 60 cm²
So, the area of the enlarged circle is equal to 60 cm².
A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice the y y -coordinate of P P . What is the equation of the curve
Answer:
The equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
Step-by-step explanation:
We know that for a curve defined as:
y = f(x)
The slope of the curve at the point x is:
y = f'(x)
where f'(x) = df(x)/dx
Here we know that we have a function that passes through the point (0, 7)
We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))
Then we have two equations:
f(0) = 7
f'(x) = 2*f(x)
From the shape of the equation, we can assume than this is an exponential equation like:
[tex]f(x) = A*e^{k*x}[/tex]
Replacing that in the second equation, we get:
[tex]k*A*e^{k*x} = 2*A*e^{k*x}[/tex]
From that equation, we can conclude that k = 2
Then:
[tex]f(x) = A*e^{2*x}[/tex]
Now we can use the first equation:
f(0) = 7
With this, we can find the value of A.
[tex]f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A[/tex]
Then we can conclude that the equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
what is the price of a mobile set whose marked priced is Rs.15000 and 13% vAT was levied after allowing 20%discount on it.
Answer:
Rs. 18080
Step-by-step explanation:
Given :
Marked price = Rs. 20000
Discount = 20%
Discounted price = (100-20)% * marked price
Discounted price = 80% * 20,000 = Rs. 16,000
The VAT = 13%
VAT charge = 13% * 16,000 = Rs. 2080
Final price = discounted price + VAT charge
Final price = 16000 + 2080 = Rs. 18080
six subtracted from one-half a number is 12.
Answer:
Number is 36
Step-by-step explanation:
Let the number be x
one half of the number is [tex]\frac{1}{2} x[/tex]
6 subtracted from one half is 12, That is,
[tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]
Tommy is putting a wooden frame around his living room stained glass window shown below. Before he can build the frame,
he needs to find the perimeter of the window.
7 feet
4 feet
If the rectangular window is 7 feet long by 4 feet wide, what is the perimeter of the window?
OA.
14 feet
ОВ.
28 feet
OC.
11 feet
OD
22 feet
The perimeter of window is 28 feet
HELP !!!!
A circular pizza has been cut into five equal size pieces … how many degrees is the angle from one piece?
Answer:
72°
Step-by-step explanation:
360/5 = 72
When evaluated, which expression has a result that is a rational number?
Answer:
√144 * 0.25 is rational!
Step-by-step explanation:
How many solutions does this linear system have?
y=-1/2x+4
x + 2y = 8
one solution: (8,0)
one solution: (0,8)
no solution
O infinite number of solutions
Answer:
no solution
Step-by-step explanation:
__________
There are ''infinite number of solutions'' does this linear system have.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Linear systems are,
⇒ y = -1/2x + 4 ... (i)
⇒ x + 2y = 8 .. (ii)
Now, From equation (ii);
⇒ x + 2y = 8
⇒ 2y = - x + 8
⇒ y = - 1/2x + 4
Which is same as equation (i).
Hence, There are infinite number of solutions does this linear system have.
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Robin saved money during the months of July and August can some one help me
Step-by-step explanation:
(340*20)-3
HOPE IT HEPL U
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answer:
28 + 12xStep-by-step explanation:
Given,
Sides of a square is = 7 + 3x
Therefore,
Perimeter of a square = 4 × side
= 4 × (7 + 3x )
= 28 + 12x (Ans)
Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.
9514 1404 393
Answer:
(x -3)^2 +(y -5)^2 = 9x^2 +y^2 -6x -10y +25 = 0Step-by-step explanation:
The standard form equation for a circle of radius r and center (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
For radius 3 and center (3, 5), this is ...
(x -3)^2 +(y -5)^2 = 9 . . . . standard form equation
Expanding this and subtracting the constant on the right gives ...
x^2 -6x +9 +y^2 -10y +25 -9 = 0
x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation
Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a true-false examination consisting of 26 questions.
Answer:
2^26
Step-by-step explanation:
For a true - false examination ; number of options or possible outcomes = 2
Number of questions = 26
Using the counting principle ; the number of elements in the sample space ;
(2 * 2 * 2 *... * 2) for the entire 26 questions
This is equivalent to : 2^26
2^26 = 67108864
The following data represent weights (pounds) of a random sample of professional football players on the following teams. san francisco 49ers and green bay packers
X1 = weights of players for the Dallas Cowboys
X2 = weights of players for the Green Bay Packers
X3 = weights of players for the Denver Broncos
X4 = weights of players for the Miami Dolphins
X5 = weights of players for the San Francisco Forty Niners
You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games. At a 5% level of Significant, determine if the weights of football players on each of these teams is same or different?
Answer:
The answer is "272.02 ".
Step-by-step explanation:
Please find the complete solution in the attached file.
I’m so horrible at math, please help
P - Parenthesis ( )
E - Exponents ²
M - Multiplication ×
D - Division ÷
A - Addition +
S - Subtraction -
Question : 21 ÷ (14 - 11) + 2⁴
1st step : Subtract the two numbers inside the Parenthesis
⇒ 21 ÷ 3 + 2⁴
2nd step : Calculate the value of 2⁴ which is related to Exponents
⇒ 21 ÷ 3 + 16
3rd step : Perform Division
⇒ 7 + 16
4th step : Perform Addition
⇒ 23
Answer: 23
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Let u= (5,-12) and c= -3.What is ||cu||?
A: 21
B: 51
C: 39
D: -39
Answer:
CU=-3(5,-12)
CU=36-15
CU=21
The answer is A=21
Answer:
[tex]=21[/tex]
Correct option is A
Step-by-step explanation:
[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]
how many pieces of jewelry could she buy?
A woman went to a departmental store's one-day sale. She bought five blouses for $30 each and a pair of shoes for $55. She also wanted to buy some jewelry. Each tom of jewelry was bargain priced at $11.50 each. If she brought $251 with her,
She could buy pieces of jewelry
Enter your answer in the answer box
In a petri dish, a certain type of bacterium doubles in number every 20
minutes
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
O A. 210
B. 410
C. 27
D. 221
SUBMIT
you spin the spinner once
What is P(5)?
0-10
A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.
The probability of getting 5 on spinner is 0.25.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, on the spinner there are four numbers {3, 4, 5, 6}.
Number of favorable outcomes = 1
Total number of outcomes = 4
So, P(5) = 1/4
= 0.25
Therefore, the probability of getting 5 on spinner is 0.25.
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This table shows information about the number of
days of holiday taken last year by the employees at a
company.
Calculate the mean number of holiday days taken.
Give your answer to 1 d.p.
Holiday days taken 25
26
27
28
29
30
Frequency
6 9 7 7 3 0
2
Answer:
Mean number of holidays taken =26.6
Step-by-step explanation:
To find the mean,
We use Σfx/Σf
Σfx =150+234+189+84+0+60
=717
Σf= 6+9+7+3+0+2
=27
Σfx/Σf= 717/27
26.6
Find the function value f(-8)
f(x)=6x-1
Step-by-step explanation:
-8=6x-1
You will move the-8 to the right hand side which will become +8 and then you move+6x to the right hand side which will become -6x
-6x=-1+8
-6x=7
You will divide both sides by-6
-6x/-6=7/-6
x=7/-6
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter.
How many cubic inches of soda are contained in a full can?
Answer:
Volume of soda in soda can = 43.1 inches³ (Approx.)
Step-by-step explanation:
Given:
Height of soda can = 7 inches
Diameter of soda can = 2.8 inches
Find:
Volume of soda in soda can
Computation:
Radius of soda can = Diameter of soda can / 2
Radius of soda can = 2.8 / 2
Radius of soda can = 1.4 inches
Volume of soda in soda can = Volume of cylinder
Volume of soda in soda can = πr²h
Volume of soda in soda can = (3.14)(1.4)²(7)
Volume of soda in soda can = (3.14)(1.96)(7)
Volume of soda in soda can = 43.1 inches³ (Approx.)
Find the solution set of this inequality. Select
the correct graph.
|-8x+4|>12
Answer:
The first option is correct
Step-by-step explanation:
Hope it is helpful....
help me pls pls pls plsss
PLEASE HELP!! WILL GIVE BRAINLEIST FOR AN ACTUAL Answer
72/360 = x/10pi
1/5 = x/10pi
x = 2pi
6.3 cm
How would I figure this out?
Answer:
IGJ=90-38
=52
answer is option c
Find the LCM of the polynomials.
x² - x - 42
x2 + x - 56
Answer:
x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)
Step-by-step explanation:
Factor each equation.
x^2-x-42= (x-7)(x+6)
x^2+x-56= (x-7)(x+8)
The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.
(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.
Find the value of x.
Answer:
Hello! answer: 84
Step-by-step explanation:
This is 360 degrees therefore 84 is the answer
84 + 84 + 96 + 96 = 360 degrees
my baby sister was born 2 ½ ago . how many months old is she
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answer:
answer is option B since they are in GM
Answer:
[tex]\text{b. }786,432[/tex]
Step-by-step explanation:
The [tex]n[/tex]th term of a geometric sequence is given by [tex]a_n=a_1\cdot r^{n-1}[/tex].
What we know:
[tex]a_1[/tex] is 3 [tex]r[/tex] is 2 (common ratio, each term is being multiplied by 2)Substituting given values, we get:
[tex]a_{19}=3\cdot 2^{19-1},\\a_{19}=3\cdot 2^{18}=\boxed{\text{b. }786,432}}[/tex]
Which of the following terms have a GCF of ? Select two options.
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
Find the area of each triangle
8 yd
8 yd
Answer:
Area of triangles 1 = 18 ft²
Area of triangles 2 = 16 in²
Area of triangles 3 = 90 yd²
Step-by-step explanation:
Given:
1] Height of triangle = 4 ft
Base of triangle = 9 ft
2] Height of triangle = 4 in
Base of triangle = 8 in
3] Height of triangle = 12 yd
Base of triangle = 15 yd
Find:
Area of triangles
Computation:
Area of triangles = (1/2)(Base)(Height)
Area of triangles 1 = (1/2)(4)(9)
Area of triangles 1 = 18 ft²
Area of triangles 2 = (1/2)(4)(8)
Area of triangles 2 = 16 in²
Area of triangles 3 = (1/2)(12)(15)
Area of triangles 3 = 90 yd²