Akira is folding a piece of paper that is 0.2 millimeters thick in half. The thickness of the paper doubles with each fold. Let n represent the fold number and t(n) represent the thickness of the paper. Which exponential function represents this scenario?
Answer:
t(n)= 0.2 * 2ⁿ
Step-by-step explanation:
Thickness= 0.2 millimeters
paper = 1
n= number of folds
The exponential function will be given by
t(n)= 0.2 * 2ⁿ
so if there's a single fold
t(1)= 0.2 * 2¹
t(1)= 0.4 mm
Now for 2 folds the thickness will be
t(2) = 0.2 *2 ²
t(2)= 0.2 *4
t(2) = 0.8mm
The exponential that represents this scenario is
t(n)= 0.2 * 2ⁿ
And for 3 folds the thickness will be
t(3) = 0.2 *2 ³
t(3)= 0.2 *8
t(3) = 1.6 mm
In ΔSTU, s = 3.8 inches, t = 9.8 inches and u=9.6 inches. Find the measure of ∠U to the nearest 10th of a degree.
Answer:
m∠U = 75.7°
Step-by-step explanation:
use Law of Cosines:
9.6² = 3.8² + 9.8² - 2(3.8)(9.8)·cos U
92.16 = 14.44 + 96.04 - 74.48·cos U
92.16 = 110.48 - 74.48·cosU
-18.32 = -74.48·cosU
cos U = -18.32/-74.48
cos U = 0.24597
arccos U = 75.7
Answer:
m∠U = 75.7°
Step-by-step explanation:
its on delta and if you use a calculator then its m∠U = 75.7°
1) x-1+5[tex]\sqrt{x-1\\}[/tex]+3=0
4) [tex]x^{4}[/tex] -64=0
Answer:
See explanation below
Step-by-step explanation:
Find the value of x in each of the following
1) x-1+5√x-1+3=0
5√x-1 = -x -2
Square both sides
25(x-1) = (-x-2)^2
25(x-1) = x^2+4x + 4
25x-25 = x^2+4x + 4
x^2 +4x + 4 - 25x + 25 = 0
x^2 - 21x + 29 = 0
x = 21±√21²-4(29)/2
x = 21±√441-116/2
x = 21±√325/2
x = 21±18.03/2
x = 21+18.03/2 and 21-18.03/2
x = 19.515 and 1.485
4) x^4-64=0
x^4 = 64
[tex]x = \sqrt[4]{64}[/tex]
x = 2.83
The area of the triangle is
108 m². What is the value
of x?
xm
(x+6) m
Answer:
x = 12
Step-by-step explanation:
Formula for area of a triangke is;
A = ½bh
Where;
b is base
h is height
From the triangle diagram given;
b = x + 6
h = x
Thus;
A = ½(x + 6)x
A = ½x² + 3x
Now we are told that the area is 108 m², Thus;
½x² + 3x = 108
Multiply through by 2 to get;
x² + 6x = 216
x² + 6x - 216 = 0
Using quadratic formula, we arrive at;
x = -18 or 12
x can't be negative, thus; x = 12
need help pls!!!! Algebra
Answer:
11
Step-by-step explanation:
Complete the equation of the line whose y-intercept is (0,5) and slope is -9.
y=
Answer: y=-9x+5
Step-by-step explanation:
slope intercept form is y=mx+b
simply plug in the values.
m= the slope
the slope you gave was -9, so plug that in to m.
b= the y intercept aka when the number touches the y axis. in this case, it would be 5.
y=-9x+5
Choose the method of pay that would result in the most earnings for one month on sales of 73,620
Answer:
Step-by-step explanation:
For option A: Earning = 0.06 x $73,620 = $4,417.20
For option B: Earning = $3,000 + 0.02 x $73,620 = $3,000 + $1,472.40 = $4,472.40
For option C: Earning = 0.04 x $50,000 + 0.09 x ($73,620 - $50,000) = $2,000 + 0.09 x $23,620 = $2,000 + $2,125.80 = $4,125.80
For option D: Earning = 0.05 x $35,000 + 0.07 x $(73,620 - 35,000) = $1,750 + 0.07 x $38,620 = $1,750 + $2,703.4 = $4,453.40
Therefore, the method that yields the most earning is monthly salary of $3,000 plus 2% commission on all sales .
Answer:
b.
Monthly salary of $3,000 plus 2% commission on all sales.
Step-by-step explanation:
edge 2021
The sum of two numbers is 18 and their difference is 4 what are the two numbers?
Answer:
7 and 11
Step-by-step explanation:
Let the two numbers be x and y
x+y = 18
x-y = 4
Add the two equations together to eliminate y
x+y = 18
x-y = 4
----------------
2x +0y = 22
Divide each side by 2
2x/2 = 22/2
x = 11
Solve for y
x+y = 18
11+y =18
Subtract 11 from each side
11+y-11 =18-11
y = 7
The two numbers are 7 and 11
This is a Doubt. Can someone tell me if it is right or wrong?
Answer:
It's correct
Step-by-step explanation:
;)
Find the absolute value:
5.34 -4 2/11 0
-6 3/5 -2.12 8.2
Answer:
Change the positive numbers to negative and change the negative numbers to positive.
Step-by-step explanation:
I hope this helps u! :D
Find the Volume of a hemisphere that has a radius of 8 centimeters. Round to the nearest tenth
Answer:1072.3
Step by step:
use the hemisphere formula which is 2/3*pie*r^3
substitute 8 centimeters into the equation.
The Volume of a hemisphere is,
⇒ Volume of hemisphere = 1071.78 cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of hemisphere = 8 centimeters
We know that;
Volume of hemisphere = 2/3 (πr³)
Hence, We get;
⇒ Volume of hemisphere = 2/3 × 3.14 × 8³
⇒ Volume of hemisphere = 1071.78 cm³
Thus, The Volume of a hemisphere is,
⇒ Volume of hemisphere = 1071.78 cm³
Learn more about the multiplication visit:
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On circle O below, SE is a diameter. What is the measure of ZISE?
Answer: 34
Step-by-step explanation:
David is running a unique coffee shop. He
charges $25 per coffee. If a customer pays
$67 for 2 coffees, how much change should
be given back by David?
HELP LAST ONE :”)) PLZ HELP ME I WILL LITERALLY LOVE U
Answer:
y=-2x+6
Step-by-step explanation:
Did on Calculator.
Answer:
its really simple x is increasing by 1 and y is decresing by 2
Step-by-step explanation:
7
9
3
10
Simplify the answer if possible.)
i don't really get what the question is could you write it again?
Multiple Choice The Astrodome-in Houston, Texas, is circular and has a diameter of 710 feet. What is the approximate circumference of the Astrodom
Answer:
Step-by-step explanation:
[tex]C=\pi d\\ \\ C=710\pi ft\\ \\ C\approx 2230.5 ft[/tex]
Answer:
2230.53
Step-by-step explanation:
Y=? Need help ASAP very much appreciated
Answer:
8
Step-by-step explanation:
I'm guessing the answer is 8 because when y is -8, x is 4. So, my thought in mind is when x is negative, y is positive. It also says, "If the value of "y" varies directly with "x". So, this means the answer is 8. You're very much welcome! Also, I'm sorry if this is incorrect. I tried my best with this question but I'm pretty sure the answer is 8! Have a great day sunshine!! :)
Answer: y = 8
Step-by-step explanation:
Sanaa went into a t-shirt store and purchased 2 t-shirts for $30. The store is having a sale for 40% off. What is the amount of money she will save with the sale?
Answer:
$12
Step-by-step explanation:
$30 x .40 = $12
Use the figure shown below to find the value of x
what i don't understand why you are not answer that question
Plz hurry
What is the measure of each angle?
40 points!!!!
Answer:
you didnt add a picture so im taking the points <3
Step-by-step explanation:
I would help if you provided more information
PLEASE ANSWER ASAP!!!!
Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 6.2 inches. What is the area of each quarter circle rounded to the nearest hundredth? Use 3.14 for .
A. 7.54
B. 30.01
C. 15.05
Answer:
b
Step-by-step explanation:
Pass a brotha some help :(
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
si el dividendo es 800 el cociente es 160 y el residuo es 0 ¿cuál es el divisor?
ayudaaa
Answer:
Él dividendo seria 5
Step-by-step explanation:
Por que si dividimos 800 ÷ 5 = 160 y no nos quedan residuos
ESPERO Y TE AYUDE ;)
Need help and fast.
match the following equations with the correct description of the solutions.
equations
(2-3x)=2(5x+3)
x-3(2+3x)=2(5x-3)
x-3(2-3x)=2(5x-3)
soulutions
A infinitely many solutions
B no solutions
C one solution
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
(2-3x)=2(5x+3) has 1 solution
x-3(2+3x)=2(5x-3) has no solution
x-3(2-3x)=2(5x-3) has infinite solution
Hope this helps
Please give me Brainliest!
Please help due tonight
Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?
Which of the following decimals has the least value? 0.3; 0.029; 0.003; 0.01
Explain your work
PLEASE HELP!! view attachment!!
Three fifths of the students in the cafeteria bought their lunch from the school. The rest brought their lunch from home. 27 of the students bought their lunch. Let t represent the total number of students in the cafeteria.
Answer:
45 students
Step-by-step explanation:
Three fifths of the students in the cafeteria bought their lunch from the school. The rest brought their lunch from home. 27 of the students bought their lunch. Let t represent the total number of students in the cafeteria.
We are to calculate the total number of students in the cafeteria.
Fraction of the students in the cafeteria that bought their lunch from the school = 3/5
Number of the students that bought their lunch = 27 students
The total number of students can be calculated as:
3/5 Of t = 27 students
3/5 × t = 27
Cross Multiply
3t/5 = 27
3t = 27 × 5
t = 27 × 5/3
t = 45 students
Therefore, the total number of students in the cafeteria = 45 students
Write the equation of an exponential function that satisfies these characteristics:
1. y intercept of (0,5)
2. range is all y values greater than 0
The value of the exponential equation is y = 5ˣ + 4
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
The y intercept is ( 0 , 5 )
So , when x = 0 , the value of y = 5
Substituting the values in the equation , we get
y = 5ˣ + 4 be equation (1)
when x = 0
y = 5⁰ + 4
y = 1 + 4
y = 5
when x = 2
y = 5² + 4
y = 25 + 4 = 29
Therefore , the range is all y values greater than 0
Hence , the equation is y = 5ˣ + 4
To learn more about exponents click :
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Can somebody plz help answer these questions correclty (like what each letter equals) thanks :3
WILL MARK BRAINLIEST WHOEVER CAN ANSWER THIS FIRST :DD
Answer:
X=12
y=34
z=45
m=33
n=27
z=27
Step-by-step explanation:
there u go
Answer:
23) x -3 = 9
x=9+3=12
24) y-11=23
y=23+11=34
25) z-8=37
z=37+8=45
26) m-16=17
m=17+16=33
27) n-9=18
n=18+9=27
28) z-14=13
z=13+14=27