Answer:
YesStep-by-step explanation:
Given:
f(x) = 4xg(x) = x/4Find the following:
f(g(x)) = 4*g(x) = 4*x/4 = xg(f(x)) = f(x)/4 = 4x/4 = xSince f(g(x)) = g(f(x)) = x, the functions are inverses of each other.
[tex]\\ \sf\longmapsto f(g(x))=4(x/4)=x[/tex]
[tex]\\ \sf\longmapsto g(f(x))=4x/4=x[/tex]
f(x) and g(x) are inverse of each otherSmaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet. A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for Pi. 172.70 ft2 178.98 ft2 200.96 ft2 379.94 ft2
Answer:
178.98 ft2
Step-by-step explanation:
The approximate area of the path is 179 ft².
Area of the smaller circleThe area of the smaller circle is calculated as follows;
A₁ = πr₁²
Where;
r₁ is the radius of the smaller circle = 8 ftA₁ = π x 8²
A₁ = 201.088 ft²
Area of the bigger circleA = πr₂²
Where;
r₂ is the radius of the bigger circle = 8 + 3 = 11 ftA₂ = π x (11)²
A₂ = 380.18 ft²
Area of the pathA = A₂ - A₁
A = 380.182 ft² - 201.088 ft²
A = 179.094 ft²
Thus, the approximate area of the path is 179 ft².
Learn more about area of circle here: https://brainly.com/question/12269818
The diameter of a circle is 19 m. What is the circumference of the circle? Use 3.14 for pi.
Answer:
D) 59.66 m
Step-by-step explanation:
circumference = 19π = 59.66 m
Kendra is planning to ride her bicycle on a popular biking path that is 54 miles long. She plans to average 9 miles per hour. To find about how long the trip will take, solve the distance formula d = it for t. Then substitute to find the time it will take her for the trip.
Answer:
It will take 6 hours to complete the biking path.
what expressions are equivalent to 42x - 14y
Answer:
Step-by-step explanation:
lol u
Answer:
When 42(x + 14y) is simplified:
42(x + 14y)
Expand and remove the brackets. Remember brackets mean to multiply.
42*x
42x
42*14y
588y
42x+588y
Therefore 42x-56 is NOT EQUIVALENT to 42(x + 14y) but is equivalent to 42+588y
Step-by-step explanation:
Aside from playing scrabble, what ither indoor recreational activities would you intiate in your family/community despite tha pandemic?
Find the value of x when
2x =100.
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Let's solve your equation step-by-step.
2 ( x ) = 100
Step 1: Divide both sides by 2.
2 x / 2 = 100 / 2
x = 50
Answer:
x = 50
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Which of the following best describes the relationship between the variables on the scatter plot below?
8
7
6
0 1 2 3 4 5 6 7 8 9 10 11 12 13
A non-linear association
B. linear and non-linear association
C. linear association
no association
Answer:
C) linear association
Step-by-step explanation:
please help xx 10 points
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
just this last one left
Answer:
2240 scooter
Step-by-step explanation:
725+579+696=2000
2000*1.12=2240
Find the volume of the composite solid. Round your answer to the nearest tenth.
BRAINLEST if right and done in under 10 minutes
Answer:
Volume = 1206.87 ft³Step-by-step explanation:
Cone dimensionsheight = 6ftdiameter = 16ftRadius = 8ft ( diameter = 2×radius)Volume = 1/3×π×radius²×heightVolume = 1/3×22/7×8*8×6Volume = 402.29 ft³Cylinder dimensionsheight = 4ftRadius = 8ft (same as cone)volume = π× radius² × heightvolume = 22/7 × 8*8 ×4Volume = 804.58 ft³Total Volume = 402.29 + 804.58Total Volume = 1206.87 ft³Michael owns a small business selling clothing. He knows that in the last week 39 customers paid cash, 30 customers used a debit card, and 2 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
0.03
Step-by-step explanation:
!
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 25
and DC 25, what is the length of BD?
Answer:
25
Step-by-step explanation:
The required value of altitude BD is 25 units, which is determined by the geometric theorem.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
As we know that the geometric theorem states that h = √(ab),
where h is the altitude of a right triangle, a and b are the segments formed when the altitude divides the hypotenuse of a right triangle.
We have to determine the value of altitude y
As per the given figure, a = 25, and b = 25
Substitute the values in the formula, and we get
x = √(25 × 25)
x = √625
x = 25
Therefore, the measure of BD = 25.
Learn more about the right triangle here:
brainly.com/question/6322314
#SPJ2
5 yards feet= _______ Feet
Answer:
15ft.
Step-by-step explanation:
There is 3ft in a yard, so all you need to do is multiply 5 by 3 to get your answer, 15.
4/5 - 3/16
A) 49/80
B) 54/6
C) 3/19
Answer: A, let me show you how!!!
4/5 - 3/16 = 49/80
4/ 5 - 3/ 16 = 4 · 16/ 5 · 16 - 3 · 5/ 16 · 5 = 64/ 80 - 15/ 80 = 64 - 15/ 80 = 49/ 80
Step-by-step explanation:
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 16) = 80. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 16 = 80. In the next intermediate step, the fraction result cannot be further simplified by canceling.
this took me forever to type pls give me brainlyest
I need help with this!
Answers:
FalseTrueTrueFalseTrueFalse===============================================
Explanations:
If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false. This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.This is false. Any repeating decimal can be converted to a fraction through a bit of work. It turns out that 17.979797... = 1780/99 which makes the value to be rational.Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.This statement is false because we found true statements earlier.please help
will mark brainlist
its b
Step-by-step explanation:
all the others don't work
Answer:
yea, I think its the second one
Select the three equations that have the same solution.
A. y + 3 = 4
B. y/1.75 =4
C. 5y = 35
D. 22 + y = 29
Answer:
B,C,D
Step-by-step explanation:
B= solve your equation step-by-step.
y
1.75
=4
Step 1: Multiply both sides by 1.75.
y
1.75
=4
(
y
1.75
)*(1.75)=(4)*(1.75)
y=7
----------------------------------------------------------
C= solve your equation step-by-step.
5y=35
Step 1: Divide both sides by 5.
[tex]\frac{5y}{5}[/tex] = [tex]\frac{35}{5}[/tex]
Thus y=7
---------------------------------------------------------
D= solve your equation step-by-step.
22+y=29
Step 1: Simplify both sides of the equation.
y+22=29
Step 2: Subtract 22 from both sides.
y+22−22=29−22
y=7
------------------------------------------------------------
Which equation represents exponential decay?
a) y=0.5x3
b) y=0.5x2 - x
c) y=0.5(1.07) dy=0.5(0.87)*
The product of two consecutive even numbers is 224. What are these two numbers?
Answer:
14 and 16
Step-by-step explanation:
They are the ONLY consecutive even numbers
And also
x and (x+2)
x(x+2)=224 ( product of a number and the consecutive of that number)
x ²+ 2x-224=0
(x+16)(x-14) =0
x=-16 or 14
In this case 14 and (14+2) 14 and 16
The integers are either 14 and 16 or -14 and -16.
The radius of a circle is 1 m. Find the circumference to the nearest tenth.
Answer:
sorry :( I need points :((((((
Answer:
6.2
Step-by-step explanation:
A jar contains 8 red counters and 21 blue counters. A counter is taken at random from the jar. what is the probity that it is.
A. red
B. blue
C. green
Since there are no green counters, the probability of selecting a green counter is always 0 in this context.
Given that the jar contains 8 red counters and 21 blue counters, we can determine the probabilities of selecting each color.
Total number of counters in the jar = 8 (red) + 21 (blue) = 29
(a) The probability of selecting a red counter:
Number of red counters / Total number of counters = 8 / 29
(b) The probability of selecting a blue counter:
Number of blue counters / Total number of counters = 21 / 29
(c) The probability of selecting a green counter:
There are no green counters in the jar, so the probability of selecting a green counter is 0.
Therefore, the probabilities are as follows:
A. The probability of selecting a red counter is 8/29.
B. The probability of selecting a blue counter is 21/29.
C. The probability of selecting a green counter is 0.
Please note that since there are no green counters, the probability of selecting a green counter is always 0 in this context.
To know more about "probability." here
https://brainly.com/question/23417919
#SPJ2
can someone help me
Question 2-4 please
Answer:
Step-by-step explanation:
2) a) You have to find the area of semicircle.
r = d/2 = 12/2 = 6 mm
Area of semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
[tex]= \frac{1}{2}*3.14*6*6\\\\= 3.14*3*6\\\\= 56.52 mm^{2}[/tex]
b) r = 10 cm
Area of quadrant = [tex]\frac{1}{4}\pi r^{2}[/tex]
[tex]= \frac{1}{4}*3.14*10*10\\\\=3.14*5*5\\\\= 78.5 cm^{2}[/tex]
3) d = 10 m
r = d/2 = 10/2 = 5 m
Area of circular garden = πr²
= 3.14 * 5 * 5
= 78.5 m²
Area of rectangular pool = 8 * 6 = 48 m²
Area of the garden covered in grass = area of the circular garden - area of pool
= 78.5 - 48
= 30.5 m²
4) a) r = 60 cm
Area of the top of the circular table = πr²
= 3.14 * 60 * 60
= 11304 cm²
diameter of base = 30 cm
r = 30/2 = 15 cm
Area of circular base = 3.14 * 15 * 15
= 706.5 cm²
In a sequence of numbers, a4=9, a5=13, a6=17, a7=21, and a8=25.
Which equation can be used to find the nth term of the sequence, an?
an=9n+4
an=4n+9
an=7n−4
an=4n−7
Answer:
an=4n−7
Step-by-step explanation:
Just took the test hope this helps
During a basketball game, Bari scored 28 points. During the game, Danay scored ¼ of the number of points Bari scored. How many points did Denay score during the basketball game?
Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .
Resposta: Denay marcou 7 pontos durante o jogo.
Find the radius of each circle using 3.14
or 22/7 for pi. Round to the nearest tenth if
necessary.
Circumference=12.6 yd
Answer: 2.01
Step-by-step explanation: Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
You have some trading cards. You give 21 cards to a friend and have 9 left for yourself.
How many cards were in your original deck?
Answer:
30
Step-by-step explanation:
21 + 9 = 30
I'd rather be listening to music than this du.mb stuffff
I don't know the answer but same
Sorry ✨
Help me with these questions
Answer:
A is the correct Answer
Step-by-step explanation:
hope that helps
Answer:
igual es lo mismo
Step-by-step explanation:
hope that help
A circular plate has circumference 30.8 inches. What is the area of this plate? Use 3.14 for t.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer: 745 (about)
Step-by-step explanation:
A=πr2
A =π (15.4)^2
A=π (237.16)
A= 745.06
A= 745 (with rounding)
Answer:
The area of the plate is about 76 square inches
Step-by-step explanation:
i had this on a test ... and i got this question right if your problem is worded the same way then the answer is 76 :)