The amount of mold after n days is 3 × (1.5)ⁿ⁻¹.
What is Geometric Progression?Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.
This ratio is common ratio.
At first, mold was 3 cm², then 4.5 cm², and it was increasing each day by 50%.
a₁ = 3
a₂ = 4.5
a₃ = 4.5 + (4.5 × 50%) = 6.75
.............
Here the common ratio, r = a₂/a₁ = a₃/a₂ = ..... = 1.5
n th term of a GP = a rⁿ⁻¹, where a is the first term and r is the common ratio.
Area of mold after n days = 3 × (1.5)ⁿ⁻¹
Hence the mold at any time can be calculated by the formula 3 × (1.5)ⁿ⁻¹.
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Are machines faster and better at calculating a math equation than mans?
Answer:
MIT economics professor Richard Bookstaber put it simply in his book “The End of Theory”: “No man is better than a machine, and no machine is better than a man with a machine.” ... Humans are too emotion-driven and susceptible cognitive biases, while machines lack an understanding of human thinking.
Answer:
yesThe Liverpool researchers estimate that the robot is able to work 1,000 times faster than a human scientist, and highlight that it is “unlikely a human researcher would have persevered with this multivariate experiment using manual approaches given that it might have taken 50 experiments or 25 days
NO SCAM LINKS OR REPORT The length of a dollar bill is 6.14 inches. Which shows a way to represent the value of the 4 in this number?
answer choices=
A. 0.4 C. (4 x 100)
B. ( 4 x 1/10 ) D. ( 4 x 1/100) NO SCAM LINKS OR REPORT
Answer:
D.
Step-by-step explanation:
The 4 is in the hundredths place, so it represents 4 hundredths, or 4 x 1/100.
help me out here plz, can u solve this problem and ill give u 10 points.
Answer: the first one, 2^3x 3^2, correct me if i am wrong
Step-by-step explanation:
Answer:
2^3*3^2
Step-by-step explanation:
a line from the top of a building to the ground passes over a 9 m pole and reaches the ground at point 15 m from the base of the pole. if the pole is 12 m from the base of the 16.2 m building, is the pole parallel to the building?
Answer:
yes
Step-by-step explanation:
please i really need help! anything will help at the moment
Answer:
-2 i think hope this helps
Step-by-step explanation:
Keith ordered a hamburger for $2.25, a medium raspberry ice tea for $1.25, and a small sundae for $0.99. He also ordered French fries. All of these items totaled $6.24. What was the cost of the French fries?
The fries costs $1.49
What is addition?Addition in math is a process of combining two or more numbers.
Given that, Keith ordered a hamburger for $2.25, a medium raspberry ice tea for $1.25, and a small sundae for $1.25. He also ordered French fries. All of these items totalled $6.24.
Let the price of fries be x,
Therefore,
$2.25 + $1.25 + $1.25 + x = $6.24
$4.75 + x = $6.24
x = $6.24 - $4.75
x = $1.49
Hence, the fries costs $1.49
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The absolute value of a number is the distance it is from 0. The bug is currently to the left of 0 and the absolute value of its location is 4. Where on the number line is it?
Answer:
- 4
Step-by-step explanation:
The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.
In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.
For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;
The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).
PLEASE HELP ASAP!!! will mark
Answer:
x=3 or x=5
Step-by-step explanation:
The answer is where the graph line curve cuts the x-axis (the horizontal line)
it cuts at 3 and 5
Miu will solve the system of equations below using the elimination method.
(2x - 3y = 4
x + y = 1
Which of the following describes the appropriate first steps to solve the system of equations by the elimination method?
Answer:
D.
Step-by-step explanation:
-2(x+y)=-2*1
-2x-2y=-2
2x-3y=4
-5y=2
y=-2/5
May somebody help me.
Answer:
d
Step-by-step explanation:
it keeps going up by 2 and 2x2 is 4 4x2 is 8 so on?
What are the values of trigonometric ratios?
three main trigonometry ratios are sin ,cos and tan.
1- Sine or sin θ = perpendicular / Hypotenuse .
2- Cosines or cos θ = base of triangle / Hypotenuse .
3- Tangent or tan θ = perpendicular of triangle / base of triangle.
Trigonometry
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Trigonometric values are based on the angle theta and the values of the sides of triangle in which the theta angle is made.
for example - value of sin theta is equal to the side opposite to the theta angle divided by hypotenuse of the triangle and we will get the values of the sin trigonometric ratio.
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is triangle ABC similar to CDE?
Answer:Yes
?=6
Step-by-step explanation:
they sare the same angle 55 and angle
Answer:
Triangle ABC is similar to triangle CDE
?=8
Step-by-step explanation:
We can set up a proportion: x/12=8/12. We can use cross multiplication to get 12x=96 which would x=8.
The triangles are similar since both of them have 55 degrees as one of the angle measures.
Is the second side “LK and HI” or the other way around?
Answer:
They aare both the same
Step-by-step explanation:
highschool algebra:
combine like terms-
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is ___ units. The point (-15, ___) lies on this circle. What are the answers?
Answer:
Find Radius using distance formula.
[tex]radius = \sqrt{(8 -- 7)^2 +(7--1)^2} \\[/tex]
=[tex]\sqrt{15^2 + 8^2} = \sqrt{225 + 64 } =\sqrt{289} = 17 units[/tex]
Since the point (-15, y) lies on the circle. The distance between (-7, -1) and
(-15, y ) will be 17 units.
So again using distance formula we will find y.
[tex]radius = \sqrt{(-7 --15)^2 + (-1-y)^2} \\\\17 = \sqrt{8^2 + (y+1)^2}\\\\squaring \ both \ sides \\\\289 = 64 + (y+1)^2\\\\289-64=(y+1)^2\\\\225 = (y+1)^2\\\\taking \ squaring \ root\\\\15 = y+1\\\\y=14[/tex]
point (-15, 14)
Translate each sentence into an equation!!!
1)Seven more than six times a number is 17.
2)Four less than five times a number is 11.
3)Six times the quantity, x-2, is 24.
4)Three less than six times a number is five more than twice the number.
5)Two more than the product of -3 and a number is 11.
Answers:
1. 6x + 7 = 17
2. 5x - 4 = 11
3. 6(x - 2) = 24
4. 6x - 3 = 2x + 5
5. (-3x) + 2 = 11
Step-by-step explanation:
Since your only translating the sentence and not actually solving, we don't need to determine a specific number. So in that case, whenever the question says "a number," use a variable such as x.
1. Seven more would mean +7, so your adding 7 to x. X is multiplied by 6, so your answer is 6x + 7 = 17.
2. X is being multiplied by 5, and 4 less means -4 so you get 5x - 4 = 11
3. X-2 is being multiplied by 6, so indicate that in parenthesis. You should then get 6(x - 2) = 24
4. This one is a little different, since it doesn't equal a direct number. X is being multiplied by 6, and 3 is getting subtracted from it so the first part is 6x - 3 and it equals X multiplied by 2 plus 5. Put it all together and you get 6x - 3 = 2x + 5
5. The word product means multiplication so you know that -3 is being multiplied with X. Again, indicate this in parenthesis. You should get (-3x) + 2 = 11
I hope this helps you! Have a good day/night! :)
Write an expression equivalent to 4-2(x+5) that has two terms
Answer:
-2x - 6.
Step-by-step explanation:
4 - 2(x + 5)
= 4 - 2x - 10
= -2x - 6
Answer:
-2x - 6
Step-by-step explanation:
Find the volume of the prism.
1.2 cm
1.8 cm
2 cm
2.3 cm
The volume is
cubic centimeters.
Answer:
Volume of prism = 6.3 cm³
Step-by-step explanation:
Given:
Dimensions of parallels line = 2.3 and 1.2 cm
Height of prism = 1.8 cm
Width of prism = 2 cm
Find:
Volume of prism
Computation:
Volume of prism = Area of base x Width
Volume of prism = [(1/2)(sum of parallels line)(Height)]Width
Volume of prism = [(1/2)(2.3 + 1.2)(1.8)]2
Volume of prism = [(1/2)(3.5)(1.8)]2
Volume of prism = [(3.5)(1.8)]
Volume of prism = 6.3 cm³
A triangle has side lengths of (4b−5c) centimeters, (9b+10d) centimeters, and (6d−8c) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
Each shape is 1 whole. For numbers 13a–13e, choose Yes or No to show whether the number names the parts that are shaded
In each shape there are 4 wholes hence the answer is yes.
What are fractions?A fraction is referred to as the portion of a whole in mathematics. There are two components to a fraction: a numerator and a denominator. The numerator is the number at the top, and the denominator is the number at the bottom.
13a. There are 4 wholes, hence the answer is yes.
13b. Every whole is divided into 2 parts hence the total number of equal parts is 4 *2 = 8. Hence the answer is yes.
13c. The answer is yes.
13d. No
13e. No
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Use the distributive property to simplify each expression.
-2(x - 2) + 5x
please help
Answer:
3x + 4
Step-by-step explanation:
Using the distributive property simply means that when there is a number in front of a pair of parentheses, every value inside the parentheses is multiplied by the co-efficient to expand the parentheses.
Here, the coefficient is -2, therefore we multiply both terms inside the parentheses (x and -2) by -2 to expand them:
-2(x - 2) + 5x
= (-2)(x) + (-2)(-2) + 5x
Now we simply evaluate and combine like terms to simplify:
= -2x +4 +5x
= 3x + 4
Which scenario can be best represented by the equation y = 139x + 200?
Since you didn't offer potential answer choices, here's a sample answer which would work for this scenario. Using this, you can compare it to the choices that you have to make a decision.
Sample Answer:
Bob opened savings account with $200. Every week since, he has added $139 into it.
Tues
1.There were 32 brown ducklings at a pond. Twice as
many white ducklings arrived., 1/2 of the brown ducklings
flew away. How many ducklings are there now, at the
pond?
Answer:
80 ducks (16+64)
Step-by-step explanation:
So if there were 32 brown ducks in the pond at first, then twice the amount of brown ducks (32).
32x2=64 white ducks
So now their are 64 white ducks at the pond. We still have to add how many brown ducks their were so…
64+32=96 ducks in total
But then as the white ducks came in half of the brown ducks flew away.
32/2=16 brown ducks left in the pond.
Lastly add the remaining brown ducks with the white ducks and that is you answer!
16+64=80 total amount of ducks
Final Answer:
80 ducks
I hope this helps! I am sorry if I got it wrong!
please help I'll give a crown if you answer correctly.
Answer:
2) 1. 73
2. 107
3. 73
4. 107
5. 73
6. 107
7. 73
8. 107
4) 1. 46
2. 134
3. 46
4. 134
5. 46
6. 134
7. 46
8. 134
Step-by-step explanation:
Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.In 2010, the population of a city was 191,000. From 2010 to 2015, the population grew by 3.9%. From 2015 to 2020, it fell by 3.3%. To the nearest 100 people, what was the population in 2020?
Answer:
The population by 2020 is 191,900
Step-by-step explanation:
Given that;
population 2010 (population in 2010): 191000
the population grew from 2010 to 2015: by 3.9%
so, population by 2015 = [tex]191000(1 + \frac{3.9}{100})[/tex]
= [tex]191000(1 + 0.039)[/tex]
= [tex]191000(1.039)[/tex]
= [tex]198449[/tex]
the population drop from 2015 to 2020: 3.3%
so, population by 2015 = [tex]198449(1 - \frac{3.3}{100})[/tex]
= [tex]198449(1 - 0.033)[/tex]
= [tex]198449(0.967)[/tex]
= [tex]191,900.183[/tex]
What is the value of x in this equation?
−4x+8=42
Answer:
x = -8.5
Step-by-step explanation:
-4x+8=42
first subtract both sides by 8
-4x = 34
divide both sides by negative 4
x = -8.5
The sum of 5 times a number and 3 is 7.
Use the variable y for the unknown number.
PLEASE HELP!!!
Answer:
5y+3=7
Step-by-step explanation:
PLEASE HELP I DON'T GET IT, MATH
Answer:
can any of u pls help me abt would u evër reach the end of the earth and y pls
what must be true for (m+p) so that the value of the expression below is negative? Explain.
-2 + (m + p)
For the expression to be negative (m + p) < 2.
What is an expression?An expression is a group of terms and mathematical symbols which can be evaluated to a given value.
How to determine what must be true for (m+p)?Since we have the expression -2 + (m + p), we need to determine the value of (m + p) for which the value of the expression is negative.
This implies that the value of the expression is less than zero.
So, we proceed as follows.
Since the expression is -2 + (m + p), for it to be negative, it must be less than zero.
So, -2 + (m + p) < 0
⇒ -2 < -(m + p)
Dividing both sides by -1, we have that
-2/-1 < -(m + p)/-1
2 > (m + p)
(m + p) < 2
So, for the expression to be negative (m + p) < 2.
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