Answer:
B Exponential
Step-by-step explanation:
Hope this helps
The equation for the fruit fly population doubling every 3 hours would be exponential.
Exponential growth occurs when a quantity increases at a fixed percentage over fixed intervals of time. In this case, the population of fruit flies doubles, which means it is increasing by 100% every 3 hours.
The general form of an exponential growth function is given by: y = a * b^x
Where:
- y is the final quantity or population size after x intervals of time.
- a is the initial quantity or population size at the beginning (in this case, the initial number of fruit flies).
- b is the growth factor (in this case, b = 2 since the population doubles every 3 hours).
- x is the number of intervals of time (in this case, the number of 3-hour periods).
In the context of the fruit fly population, the equation would be in the form of y = a * 2^x, where the population of fruit flies increases exponentially as time passes. This is why the equation is exponential.
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PLEASE HELP QUESTION IN PICTURE
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
This means that b + 25 + 100 = 1802. (Solving equation above)
Step 1: Simplify both sides of the equation.
[tex]b + (25+100)=180[/tex] [tex]b + 125 = 180[/tex]Step 2: Subtract 125 from both sides.
[tex]b + 125 - 125 = 180 - 125[/tex] [tex]b = 55[/tex]Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
This means that 110 = d + 552. (Solving)
Step 1: Subtract 55 from both sides.
[tex]110-55 = d + 55-55[/tex] [tex]55 = d[/tex]Therefore, d = 55.
A system of two linear equations has one solution. One of the equations is y = 2x + 25. Which could be the other equation? A y = 2x + 25 B y = –2x – 25 C y = 2x – 25 D y = 2x
Answer:
B. y = -2x-25 These lines will intersect
Step-by-step explanation:
y = 2x+25 Which line has one solution to this equation:
A. y = 2x+25 [This is the same line! The solutions are infinite.]
B. y = -2x-25 [These lines will intersect. They'll meet at the corner of -12.5th and Zero streets (-12.5,0)]
C. y = 2x-25 [Same slope, 2. They, also, will never meet. Pity]
D. y = 2x [OMG. Didn't parallel lines ever get the message. Get with the slope and focus on the bliss of intersection.]
===============
[Extra Credit]
y = 2x + 25
y = –2x – 25
-----------
y = 2x + 25
y = -2x - 25
2y = 0
y = 0
--
y = 2x + 25
0 = 2x + 25
2x = -25
x = -12.5
The single solution is (-12.5,0)
If system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A system of two linear equations has one solution.
One of the equations is y = 2x + 25
We need to find the other equation which has one solution
y = 2x+25
This is the same line
The solutions are infinite.
y = -2x-25
These lines will intersect.
The other equation is y = –2x – 25 because this equation is interacting with y = 2x + 25
Hence, if system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.
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let f(x)=x-3 and g(x)= 3x^2. perform the function operation and then find the domain of the result. (f-g)(x)
Answer:
(f-g)(x) = f(x) - g(x)
= x-3 - (3[tex]x^{2}[/tex])
= x- 3 - 3[tex]x^{2}[/tex]
domain is all real number
Step-by-step explanation:
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.
Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: price of each bag of popcorn. y: the price of each pretzel.On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. This is expressed by 2x+5y= 37.25
Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. This is expressed by 8x+9y=102.25
So, the system of equations to solve is:
[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
So, isolating the variable x from the first equation:
2x+5y= 37.25
2x= 37.25 - 5y
x= (37.25 - 5y)÷2
x= 18.625 - [tex]\frac{5}{2}[/tex]y
Replacing in the second equation:
8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25
Solving:
8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25
149 - 20y + 9y=102.25
149 -11y= 102.25
-11y= 102.25-149
-11y= -46.75
y= (-46.75)÷ (-11)
y= 4.25
Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:
x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25
x= 18.625 - 10.625
x=8
Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
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Answer this correct and I will give you extra points.
Answer:
he didnt subtract each equations on both sides
5y-6=4y+1
-4 -4
y -6=1
+6=+6
y=7
Step-by-step explanation:
hope that wrk
what is the solution to this equation 4x -6 + 2x =18
Answer:
x=12
Step-by-step explanation:
4x-6+2x=18
2x-6=18
2x=24
x=12
A distance of 6.5 × 10−8 is multiplied by 10. The result is written in scientific notation. What is the new exponent?
Answer:
6.5 x 10^(-7)
Step-by-step explanation:
When multiplied by 10, it is like multiplying by 10^1. We can use the exponent rule: 10^(-8) * 10^1 = 10^(-7).
Example:
1.3 x 10^2 multiplied by 10
This is the same as 130 multiplied by 10 which is equal to 1300.
1300 written in scientific notation is 1.3 x 10^3, which adds one more onto the exponent.
What is the value of x?
Answer:
55
Step-by-step explanation:
As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.
During a storm the temperature drops from 90oF to 75oF. How much did the temperature drop in oC? (Round your answer to the nearest whole number. ).
Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas
Answer:
0.4 kg
Step-by-step explanation:
A proportion can be used to find the amount of sugar.
x/(1.1 L) = (0.1 kg)/(0.275 L)
x = (1.1)(0.1)/0.275 kg = 0.4 kg
Angela needs 0.4 kg of sugar for her biscuits.
See the picture first, thank you.
QUESTIONS::
1. Does each graph represent a linear function? Why?
2. What is the domain of the first graph? second graph?
3. What is the range of the first graph? second graph?
Answer:
1. yes, both lines are straight
2. domain: (-∞ ∞)
3. range: (-∞ ∞)
Select the postulate that is illustrated for the real numbers. 3x + 3 = 3(x + 1) The commutative postulate for multiplication Multiplication by one The distributive postulate The multiplication inverse The addition of zero postulate Commutative postulate for addition The addition inverse postulate
Pleaseeee help meenpleaseeee!!!!!!!!
Answer:
-5/4
Step-by-step explanation:
4x-5y=10
-5y=-4x-10
-5y/-5=-4/-5-10/-5
y=4/5+2
perpendicular slope is -5/4
23.
Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ...
Answer:
39, 44, 48
Step-by-step explanation:
Add 5 to the following terms.
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3(x+2)+5x how do i simplify that expression?
2(4+3) yw OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
my mom gave me 5 dollar and I had 6 dollar and my dad gave me 8 dollar how much money I have?/
Find the y-intercept of the line: x + 4y + 8 = 0
Answer:
(0,-2)
Step-by-step explanation:
In 13, write an equation. Complete the table and graph to solve the problem. A puppy weighs 1 pound. What does the puppy weigh after 4 weeks? Puppy gains 1/2 pound each week.
I figured out that the puppy weighs 3 lbs., but I don't get how to graph it. HELP? (this was due a few days ago)
Answer:
It would be y=0.5x+1
Step-by-step explanation:
1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept
Answer the following question:
7/2h - 3 (5h - 7/2)
Answer:
For easy way
convert to decimals first
3.5h - 3 (5h - 3.5)
Open brackets
3.5h - 15h + 10.5
Answer = 10.5 - 11.5h
Could someone answer this in y=mx+b form please i cannot figure this out 2x-y=4
Answer:
y = 2x - 4.
Step-by-step explanation:
2x - y = 4
Subtract 2x from both sides
- y = -2x + 4
Multiply both sides by -1:
y = 2x - 4.
Answer:
y=-2x+4
Step-by-step explanation:
2x-y=4 - move the 2x to the right side by subtracting 2x from both sides
2x - y = 4
-2x -2x =
-y=-2x+4 - negative variable turns into y, since the negative isn't relevant
y=-2x+4
20 Points Please Help
In the past month, Raina rented 6 video games and 1 DVD. The rental price for each video game was $2.25 . The rental price for the DVD was $3.80 . What is the total amount that Raina spent on video game and DVD rentals in the past month?
Answer:
$17.30
Step-by-step explanation:
6 (video games) multiplied by $2.25 equals $13.50
or
(2.25 + 2.25 + 2.25 + 2.25 + 2.25 + 2.25) = 13.50
and
1 (DVD) is $3.80
$13.50 + $3.80 = $17.30
$17.30
Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
a
r = 0..8
b
r = 0.5
c
r = -0.2
d
r = -0.9
Answer:
D) r=-0.9
Step-by-step explanation:
Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.
How many 1/6's are in 45/2
The total number of gallons of water in a tank, w, after t minutes is given in the table and the graph below. What is an equation showing the relationship between w and t? A. w = 2t B. w = 2 + t C. w = 4t D. w = 4 + t
Answer:
C. w = 4t
Step-by-step explanation:
Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).
Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.
We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)
Find the angle measure of MP
Answer:
arc MP = 88°
Step-by-step explanation:
The measure of the inscribed angle MQP is half the measure of its intercepted arc MP , then
arc MP = 2 × ∠ MQP = 2 × 44° = 88°
The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?
the height of the box is 9 inches
Answer:
solution given:
total surface area of a box=160 square inches
let length, width, and height be l,b, and h respectively.
according to the question:
l=2b
∴b =[tex]\frac{l}{2}[/tex]
l=h-4
∴ h=l+4
we have
total surface area of a box=160 square inches
2(lb+lh+bh)=160
[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]
[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]
[tex]4l^2+12l=160[/tex]
[tex]4(l^2+3l)=160[/tex]
[tex]l^2+3l=\frac{160}{4}[/tex]
[tex]l^2+3l-40=0[/tex]
doing middle term factorization
[tex]l^2+(8-5}l-40=0[/tex]
[tex]l^2+8l-5l-40=0[/tex]
taking common from each two terms
l(l+8)-5(l+8)=0
(l+8)(l-5)=0
either
l=-8[neglected as length is always positive]
or
l=5
now
b=[tex]\frac{5}{2} =2.5[/tex]
h=5+4=9
Step-by-step explanation:
Can someone plz help me?
Answer: C
Pt. C is at coordinate point (2,1)
The distance between A and C is 4 units (or boxes).
In the sequence
1,2,2,4,8,32,256,...
each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is 256, which is the product of the fifth term (8) and the sixth term (32).
This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the 14th term is close to some estimates of the number of particles in the observable universe.)
What is the last digit of the 35th term of the sequence?
Answer: 8
Step-by-step explanation:
Sequence: 1,2,2,4,8,32,256
After the first digit, the repeated pattern for the last digit is 2,2,4,8,2,6
So, the 35 term's final digit will be 8
Each child in the Martin family decided to save money for the family vacation.
Mrs. Martin asked the children to show how they would spend the money if given $20 each week for 8 weeks.
Which person would have the most money left for the vacation?
Answer:
The story is not clear enough to provide the answer
Step-by-step explanation:
First of all we do not know how many childen are in the Martin Family
[tex]20 \times 8[/tex]
=$160
So depending on how each child sends and how many children will determine which kid will have most of the money left