Answer: c
Step-by-step explanation:
The term ( 1 -0.125) is a decay factor which means the value of system decreased by 12.5% each year.
What is exponential decay?The process of reducing an amount by a consistent percentage rate over a period of time is called exponentially decay.
Exponentially decay rate formula[tex]y = a(1-r)^{x}[/tex]
a is initial amount
1-r is decay factor
x is time period
According to the given question.
We have a exponential function.
[tex]V = 100,00(1-0.125)^{y}[/tex]
If we compare the above function with exponential decay rate formula i.e.
[tex]y = a(1-r)^{x}[/tex]
We get,
a = 100,000
r = 0.125
In [tex]V = 100,000(1-0.125)^{y}[/tex], the term ( 1 -0.125) is a decay factor which means the value of system decreased by 12.5% each year.
Thus, option A is correct.
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Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
For every 5 lunges Miguel does, he does 4 pushups.
For every 4 lunges Miguel does, he does 5 pushups.
For every 15 lunges Miguel does, he does 4 pushups.
For every 12 lunges Miguel does, he does 5 pushups.
Answer:
For every 5 lunges, 4 pushups
Step-by-step explanation:
In 3 548 729, what digit is in the ten thousands place?
Answer:
4
Step-by-step explanation:
Answer: 7
Step-by-step explanation: because it is 5 spaces over
Write 4 equations:
-2 equations using sine based on triangle ABC
-2 equations using cosine based on triangle ABC
its B. if there's choices
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the pyramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
[tex]V=6.66\ ft^3[/tex]
Step-by-step explanation:
The perimeter of the square base of a pyramid = 7.3 ft
The height of the pyramid, h = 6ft
The perimeter of a square is given by :
P = 4s, s is the side of square
7.3 = 4s
s = 1.825 ft
The volume of a pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Here, l = b = 1.825 ft
So,
[tex]V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3[/tex]
So, the volume of the pyramid is equal to [tex]6.66\ ft^3[/tex].
سلام. ایرانی ها بیان فالو بک بدیم
[tex] \sqrt[5]{1024} = \frac{?}{?}[/tex]
2^10/5 = 2^2 = 4
................................
solve , √(6*6) + √(7*7) please ASAP
Answer:
[tex] \sqrt{(6 \times 6 } + \sqrt{7 \times 7} \\ = \sqrt{ {6}^{2} } + \sqrt{ {7}^{2} } \\ = { ({6}^{2} )}^{ \frac{1}{2} } + { {(7}^{2} )}^{ \frac{1}{2} } \\ = 6 + 7 \\ = 13[/tex]
Answer:
The answer is 13 I hope that helped you buddy <3
Will pay for answer
Triangle DEF has vertices at the coordinates D(1,-1), E (3,4), and F(4,2). Where does the median from E Intersect DF? Compute the
length of that median. (The use of the grid is optional.)
Need ASAP
Answer:
3.54
Step-by-step explanation:
let M be the midpoint of DF
M (x,y): x = (1+4)/2 = 2.5 y = (2 + -1)/2 = 0.5
Median from E intersect DF: EM = √(3 - 2.5)² + (4 - 0,5)²
EM = √0.5² + 3.5² = 3.54
i need help with this plzzzzzzzzzzzzzzzzzzz
Answer:
Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2
(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units
Plz help
Answer: Choice D
|-50-12| = |-62| = 62 units
================================================================
Explanation:
Draw out a number line. Mark two points on it at A = -50 and B = 12
The expression |A-B| represents the distance between the two points. So that would be....
|A-B| = |-50-12| = |-62| = 62
Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.
-------------------
Slightly alternative method:
If you wanted, you could plot point C on the number like such that C is at 0.
The distance from A = -50 to C = 0 is exactly 50 units
From C = 0 to B = 12 is an additional 12 units
Therefore, the total distance is AC+CB = 50+12 = 62 units
-------------------
Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.
What is Pythagoras's Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
Let x be the length of the boat from the dock.
From the Pythagoras' theorem
[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
Hence, the length of the boat from the dock will be 15 miles.
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Complete the table using the equation
Answer:
x -1 0 1 2 3
y 2 4 6 8 10
Step-by-step explanation:
y = 2x + 4
x = -1: y = 2(-1) + 4 = 2
x = 0: y = 2(0) + 4 = 4
x = 1: y = 2(1) + 4 = 6
x = 2: y = 2(2) + 4 = 8
x = 3: y = 2(3) + 4 = 10
x -1 0 1 2 3
y 2 4 6 8 10
A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the lightbulbs and finds that 2 of them are defective. Based on these results, what can the store manager predict about the next delivery of lightbulbs?
Group of answer choices
A. A delivery of 6 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
B. A delivery of 5 boxes will contain 10 more defective lightbulbs than a delivery of 2 boxes
C. A delivery of 4 boxes will contain 2 more defective lightbulbs than a delivery of 2 boxes
D. A delivery of 3 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
Answer:
Answer is C
Step-by-step explanation:
There is one faulty light bulb in each box. 4 boxes 4 bad lightbulbs since there we two in the first to 2+2 is 4
Which answer is correct?
Answer:
B
Step-by-step explanation:
Philip rode less than her so immediately you subtract which cancels answers a and d.
we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5
Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4
Answer:
.5, sqrt 14, 4
Step-by-step explanation:
.5, 3.7416, 4
Hellppppppppppppp I neeeeed itttt
Answer:
20
Step-by-step explanation:
Each sq. In. Of your body has about 6.5×10^2 pores. Suppose the back of your hand has an area of about 0.12×10^2 in^2
Answer:
7800 pores on the back of your hand
Step-by-step explanation:
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10^2)(.12 x 10^2) = 7800
The number of the pores on the back of your hand will be 7800
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10²)(.12 x 10²) = 7800
Hence the number of the pores on the back of your hand will be 7800
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how many 3 letters words can be formed with or without meaning from the letters DURIAN
Answer:
120 ways
Step-by-step explanation:
For this question, you just have to use the permutation technique or multiplication rule.
By using the multiplication rule,
6×5×4=120 ways
By using the permutation technique,
6P3=120 ways
correct me if I'm wrong
What is the result when the number 72 is decreased by 44%? Round your answer to the nearest tenth.
Please help me I have been stuck for a while now
The square root of 9 is 3, so the square root of 11 would be a little greater than 3
The answer would be C. 3.3
What is the x-intercept of the line shown below? Enter your answer as a
coordinate pair.
Answer:
do you have a graph of the line?
The sum of two integers is 10, and the sum of their squares is a minimum. Find the integers.
The length of a line segment is 13 units. One endpoint of the line segment is -3, 7. What four points could be the other endpoints of the line segment.
Answer:
the length of a line s3gment is 13 units then its 169
It took Mary 37 minutes to make 8 posters wrote the statement as a rate
Answer:
1 for 4.625 mins
Step-by-step explanation:
Find the volume use pi as part of the equation round to nearest hundred
Answer:
V = 340.339
Step-by-step explanation:
V = [tex]\frac{\pi r^{2} h }{3}[/tex]
V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex] = about 340.3392 = 340.339
Answer:
340.17 ft.
Step-by-step explanation:
Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.
'r' means radius; 'h' means height; 'π' means pi.
The radius is 5; the height is 13.
πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)
340.166666667 ≈ 340.17
Therefore, the area of this circular cone is 340.17 ft.
A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?
Answer:
3
Step-by-step explanation:
because two plus two
If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?
Answer:
⁹/₄Step-by-step explanation:
The square is: a²-2ab+b²
We have
[tex]x^2-3x[/tex]
it's: [tex]x^2-2\cdot x\cdot\frac32[/tex]
so we need: [tex]\left(\frac32\right)^2=\frac94[/tex]
[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]
witch, of course, means no solution
The coordinates of the point L are (-3,7) and the coordinates of point M are
(-3,2). What is the distance, in units, between the point L and point M?
Answer:
5.
Step-by-step explanation:
x axis is the same. do 7-2. Which equls 5.
The width of a triangle of 7 feet longer than its length. Find the dimensions of the rectangle such that the perimeter of the rectangle is 162 feet
Answer:
Length = 37 feets
Width = 44 feets
Step-by-step explanation:
Given that :
Length = l
Width, w = 7 + l
Perimeter , P of rectangle = 162
Recall:
Perimeter of a rectangle = 2(l + w)
P = 2(l + w)
162 = 2(l + (7 + l))
162 = 2(l + 7 + l)
162 = 2(7 + 2l)
162 = 14 + 4l
162 - 14 = 4l
148 = 4l
l = 148 / 4
l = 37 feets
Width = l + 7
Hence,
Width = 37 + 7 = 44 feets
The perimeter of the figure below is 61.1 m. Find the length of the missing side.
Answer:
I believe it would be 12.9
Step-by-step explanation:
perimeter is all of the outside lengths combined. if you take the 61.1 and subtract the lengths it gives you, the remaining length should be your answer
Find X (2/3 x) (x + 40)
The Answer Is X=84
Make an equation for x.
x+40+2/3x=180
x+2/3x=140
Combine like terms.
1 2/3x=140
140/1 2/3 =84
x=84