Answer:
A) The point( -1 , 5) is satisfies the given graph [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
B) The point( 3 , 1/125) is satisfies the given graph [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
Step-by-step explanation:
Explanation:-
Given graph
y = [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
Put the point ( -1 , 5)
Put y =5 and x =-1
[tex]5 = (\frac{1}{5} )^{-1} = 5[/tex]
The point( -1 , 5) is satisfies the given graph
ii)
Given graph
y = [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
[tex]\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}[/tex]
The point( 3 , 1/125) is satisfies the given graph [tex]g(x) = (\frac{1}{5} )^{x}[/tex]
An object's temperature cools exponentially after it is removed from a furnace (hot oven). If its initial temperature is
730
730
°C and it cools at a rate of
2.95
2.95
% per minute, find the object's temperature after
18.0
18.0
minutes.
Answer: I think 53.1
Step-by-step explanation:
The object's temperature after 18.0 minutes is 425.83.
Given that,
An object's temperature cools exponentially after it is removed from a furnace (hot oven).
If its initial temperature is 730°C and it cools at a rate of 2.95% per minute.
We have to determine,
The object's temperature after 18.0 minutes.
According to the question,
The initial temperature is 730°C and it cools at a rate of 2.95% per minute,
The temperature after t minutes is modeled by an exponential function, which has the following format is,
[tex]T(t) = T(0) . (1-r)^t[/tex]
Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.
Then,
T(0) = 730°c and r = 2.95% = 0.0295
Substitute all the values in the equation,
[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}[/tex]
Therefore,
The object's temperature after 18.0 minutes is,
[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\\\\ T(18) = 730 \times 0.5833\\\\T (18) = 425.83[/tex]
Hence, The required value of the object's temperature after 18.0 minutes is 425.83.
To know more about the Exponential function click the link given below.
https://brainly.com/question/16902197
Please I need help !!!!
Answer:
The first one is c the second is b
What is the solution to the inequality −2x+8<3(2x−4)?
Answer:
x>5/2
Step-by-step explanation:
When the area of a square is increasing four times as fast as the diagonals, what is the length of a side of the square
Answer:
Length of a side of a square = 2√2 units
Step-by-step explanation:
Let the length of a square is 'x' units.
Therefore, Area of the square A = (Side)²
= x² square units
And by Pythagoras theorem,
(Diagonal)²= (Side 1)² + (Side 2)²
= x² + x²
= 2x²
Diagonal 'p' = x√2 units
It is given in the question that area of the square is increasing four times as fast as the diagonals.
[tex]\frac{d(A)}{dt}=4(\frac{dp}{dt} )[/tex] -------(1)
[tex]\frac{d(A)}{dt}=\frac{d(x^2)}{dt}[/tex]
[tex]\frac{d(A)}{dt}=2x\frac{d(x)}{dt}[/tex]
Similarly, [tex]\frac{d(p)}{dt}=\frac{d(x\sqrt{2})}{dt}[/tex]
[tex]=\sqrt{2}\frac{dx}{dt}[/tex]
Now by placing the value of [tex]\frac{d(A)}{dt}[/tex] and [tex]\frac{d(p)}{dt}[/tex] in equation (1),
[tex]2x\frac{dx}{dt}=4\sqrt{2}\frac{dx}{dt}[/tex]
[tex](2x - 4\sqrt{2})\frac{dx}{dt}=0[/tex]
Since, [tex]\frac{dx}{dt}\neq 0[/tex]
[tex](2x - 4\sqrt{2})=0[/tex]
x = 2√2
Therefore, length of a side of the square is 2√2.
How do you calculate 1/4 of 4 dozen and get the correct answer?
Answer:
4 dozen is equal to 48
divide that by 4 which would equal 12 or one dozen
Answer:
12
Step-by-step explanation:
1 dozen is equal to 12, so 4 dozen is (12×4) is 48. 48 x 1/4 =12.
Simply: 1/4 of 4 dozen is 1 dozen
Simplify -6
.
2
041
318
4
8
318
[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]
[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]
[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]
[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]
[tex] = \frac{ - 50 + 17}{8} [/tex]
[tex] = \frac{ - 33}{8} [/tex]
[tex] = - 4 \frac{1}{8} [/tex]
z=−24i−19
Re(z)=
Im(z)=
9514 1404 393
Answer:
Re(z) = -19Im(z) = -24Step-by-step explanation:
There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.
Re(z) = -19 . . . . the part that does not have a factor of i
Im(z) = -24 . . . . the coefficient of i
what is 33.7 divided by 9.5 equals ?
Answer:The answer is 3.5273684211
Step-by-step explanation:
I your round it up then it would be 3.5
Answer:
33.7/9.5 = 3.547368421...
Use the Distributive Property on the
equation below.
3(4y + 3) = [ ? ]y +[ ]
Answer:
12y+9
Step-by-step explanation:
What should the following rate be divided by to convert it to a unit rate?
6 inches
12 hours
A.12/12
B.2/2
C.12
D.6/6
Answer:
Can someone help, please?
-1/2(7z+4)+1/5(5z-15)
Answer:
21
Step-by-step explanation:
bc i said
please please fill in the blank ... and write division sentence i will mark you brainliest
Describe another pattern you see in this set of numbers 20,24,28,32, and 36
help please help mesda
Answer:
25, 25, 22.5, 22
Step-by-step explanation:
It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.
We are given all of these values:
x -> 2, 3, 4, 5
y -> 50, 75, 90, 110
Use the formula given and solve for K.
50/2 = 25
75/3 = 25
90/4 = 22.5
110/5 = 22
Best of Luck!
186 = 6 (3n + 7) answer for N
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
186 = 6(3n + 7)
Step 2: Solve for n
Divide 6 on both sides: 31 = 3n + 7Isolate n term: 24 = 3nIsolate n: 8 = nRewrite: n = 8Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: 186 = 6(3(8) + 7)Multiply: 186 = 6(24 + 7)Add: 186 = 6(31)Multiply: 186 = 186Here we see that 186 does indeed equal 186.
∴ n = 8 is the solution to the equation.
The table below represents a function. Write a number from the given values below to complete the table of values.
The answer is -3/-1/2
Tap on a clip to paste it in the text box.
Which expression represents
"thirty-eight less than the sum of forty and nineteen"?
A 38 – 40 + 19
® 38 - (40 – 19)
19+ (40 – 38)
D (40+ 19) – 38
Answer:
(40+ 19) – 38
Step-by-step explanation:
We need to find the expression for "thirty-eight less than the sum of forty and nineteen".
Sum of forty and nineteen = 40 + 19
38 less than the above is 40 + 19 - 38
Overall expression is :
(40 + 19) - 38
Hence, the correct option is (d) "(40+ 19) – 38".
.The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?
Answer:
1271.7in
Step-by-step explanation:
A complete rotation is = circumference of the wheel.
So calculate the circumference which is pi times diameter.
27 times pi (which is 3.14) = 84.78in one rotation
so if you make 15 rotations, you are multiplying it by 15
15 x 84.78 = 1271.7in
Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.
Answer:
32.55
Step-by-step explanation:
d = 32.552266
For:
(X1, Y1) = (-12.3, 15.1)
(X2, Y2) = (17.5, 2)
Distance Equation Solution:
d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√
d=888.04+171.61−−−−−−−−−−−−−√
d=1–√059.65
d=32.552266
could be confusing.
Find the LCD of the given rational equation
Answer:
[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Step-by-step explanation:
Step 1: Factor [tex]x² + 2x - 8: (x - 2) (x + 4)[/tex]
[tex]=\frac{x}{x+4}+\frac{x-1}{x+2}+\frac{3}{\left(x-2\right)\left(x+4\right)}[/tex]
Step 2: Find the Least Common Multiplier of [tex]x + 4, x - 2, (x + 4), (x - 2)[/tex]
= [tex](x + 4) (x + 2) (x - 2)[/tex]
Step 3a: Conform the fractions based on the LCM (Least Common Multiplier)
= [tex]\frac{x\left(x+2\right)\left(x-2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}+\frac{\left(x-1\right)\left(x+4\right)\left(x-2\right)}{\left(x+2\right)\left(x+4\right)\left(x-2\right)}+\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+4\right)\left(x+2\right)}[/tex]
Step 3b: The denominators are equal, so combine the fractions.
[tex]=\frac{x\left(x+2\right)\left(x-2\right)+\left(x-1\right)\left(x+4\right)\left(x-2\right)+3\left(x+2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Step 4: Expand [tex]x(x + 2)(x - 2) +(x-1)(x+4)(x-2) + 3(x-2)[/tex]
[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]
Have a great day!
A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of mild are needed for 8 servings
Answer:ok
Step-by-step explanation:
n jjbjnujg6t6ugyg ffvjnjg
Step-by-step explanation
knjjbvfghjk,mn cxsertyuj
consider the fibonacci sequence below, which is the first term in the sequence to exceed 120?
1,1,2,3,,5,8
Answer:
144
Step-by-step explanation:
The sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946
so you can see the first term larger than 120 is the 144.
The first term in the sequence to exceed 120 will be 144.
What are sequence and series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is given below.
1, 1, 2, 3, 5, 8.
The sequence is given as,
aₙ = aₙ₋₁ + aₙ₋₂
The first and second terms are given as,
a₁ = 1 and a₂ = 1
Then the 7th term is given as,
a₇ = a₆ + a₅
a₇ = 5 + 8
a₇ = 13
Then the 8th term is given as,
a₈ = a₇ + a₆
a₈ = 13 + 8
a₈ = 21
Then the 12th term is given as,
a₁₂ = a₁₁ + a₁₀
a₁₂ = 89 + 55
a₁₂ = 144
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.
The first term in the sequence to exceed 120 will be 144.
More about the sequence link is given below.
https://brainly.com/question/21961097
#SPJ2
find the value of x showing your steps. identify the postulate that allowed you to solve for x.
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesGeometry
CongruencyAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
Step 2: Solve for x
Divide 3 on both sides: x + 7 = 21Subtract 7 on both sides: x = 14Ann writes the inequality d ≤ 16, where d equals the number of days, to represent this scenario.
Answer:
Answer is C
Step-by-step explanation:
A scenario describing the inequality {d ≤ 16} is given below.
What is inequality?An inequality compares two or more numbers or expressions with one another. For example -
2x + 4y > 7
2x + 5y < 6
Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.
A scenerio to represent this inequality is -
" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."
Therefore, we can represent the given inequality as a scenario mentioned above.
To solve more questions on inequality, visit the link below
https://brainly.com/question/29194803
#SPJ2
What is this? Please answer with an explanation
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = - [tex]\sqrt{x+11}[/tex] - 3 ← substitute x = - 7
f(- 7) = - [tex]\sqrt{-7+11}[/tex] - 3
= - [tex]\sqrt{4}[/tex] - 3
= - 2 - 3
= - 5 ← output is real
give two ways to write the expression as a phase for 15-b
Answer:
((c)) man so simple. bye
Of the 200 students in school 90 volunteered to work the book sale. what percent of students volunteered?
Answer:
45%
Step-by-step explanation:
90/200 = 0.45
0.45 = 45%
noob
What is 8/25 as a decimal representation and as a percent representation please answer thank you
Answer:
decimal: 0.32 percent: 32%
Step-by-step explanation:
Which Sentence about measuring angles is true?
A. An angle that turns through 10/360 of a circle has a measure of 36°
B. An angle that through 1/12 of a circle has a measure of 1°.
C. An Angle that turns through 10/360 Of a circle has a measure 10°
D. An angle that turns through 1/12 Of a circle has a measure of 12°
Pls help I have to stay up all night answering 200 Questions
The statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
Angle
When two straight lines or rays intersect at a shared terminal, an angle is generated. The angle can be measured in degrees or radians.
How to find a true statement about measuring the angle from the given statements?Let us discuss all four options.
The measure of a whole circle is [tex]360^{o}[/tex]
(A) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]36^{o}[/tex]" is false.
(B) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]1^{o}[/tex]" is false.
(C) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
(D) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]12^{o}[/tex]" is false.
Therefore, option (C) is correct.
Hence, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
Learn more about angle here-
https://brainly.com/question/13954458
#SPJ2
express 0.361 as a fraction
Answer:
361/1000
Hope I helped
Answer:
179/495
Step-by-step explanation:
x = 0.3616161.......... ---------------(I)
Multiply by 1000
1000x = 361.616161......
Multiply (I) by 10
10x = 3.616161........
1000x = 361.6161......
10x = 3.6161........ {Now subtract}
990x= 358
x = 358/990
x = 179/495
Natasha is wrapping gifts for the holidays to donate to a local community center. Natasha has 240 square feet of wrapping paper. If Natasha can wrap 8 gifts with 15 sq feet of paper; how many gifts can she wrap in total?
Answer:
Natasha can wrap 128 gifts in total
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Natasha has 240 square feet of wrapping paper
∵ Natasha can wrap 8 gifts with 15 square feet
→ By using the ratio method
→ Gift : square feet
→ 8 : 15
→ x : 240
→ By using cross multiplication
∵ x × 15 = 8 × 240
∴ 15x = 1920
→ Divide both sides by 15
∵ x = 128
∵ x represents the number of gifts
∴ Natasha can wrap 128 gifts in total