Answer:
it is proportional
Step-by-step explanation:
if you plug it in a graph the equation would be y = 1400x + 150
where y is the total cost of rent x is the unknown amount of months 1400 is how much it is a month and the 150 is the extra fee
Albert’s father is 24 years older than Albert. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?
Answer:
Albert is 24. Albert's father is 48
Step-by-step explanation:
In the morning, Marco sold 12 cups of lemonade for $3. By the end of the day, he had earned $9. How many cups of lemonade did he sell in all?
Kaycee wrote the proportion StartFraction 12 over 3 EndFraction = StartFraction 9 over c EndFraction for this situation. Identify the error and give two ways to write the proportion correctly.
Answer:
Marco earned $2.25.
Step-by-step explanation:
1. If Marco sold 12 cups of lemonade for 3$, we would divide 12 cups and how much he earned from the 12 cups (3$). 12/3 = 4
2. By the end of the day, Marco earned $9. So, 4 cups = 1$. To break it down, 1$ = 100 cents and 100 cents divided by 4 is 25 cents. Cups to Cost. ( 4 : 1 ) and/or ( 1 : 0.25 )
3. 8 cups = 2$ plus 1 cup (0.25) = 2.25.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
Kaycee did not keep lemonade and dollars in corresponding positions in the ratios of the proportion. The proportion should be 12/3=c/9 or it could be written 3/12=9/c. Dollars should be in the same position and cups should be in the same position across ratios.
Step-by-step explanation:
This was the example answer
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Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an initial population Upper P 0 requires n units of time to triple, then the function P(t)equals Upper P 0 (3 )Superscript StartFraction t Over n EndFraction models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
The question is incomplete. Here is the complete question.
Uninhibited growth can be modeled by exponential functions other than [tex]A(t)=A_{0}e^{kt}[/tex]. for example, if an initial population P₀ requires n units of time to triple, then the function [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] that models the population.
b) What will the population be in 47 days?
c) When wil the population reach 750?
d) Express the model from part (a) in the form [tex]A(t)=A_{0}e^{kt}[/tex].
Answer: a) [tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
b) P(t) = 280 insects
c) t = 74 days
d) [tex]A(t)=50e^{0.037t}[/tex]
Step-by-step explanation:
a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is
[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
b) In t = 47 days:
[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
[tex]P(47)=50(3)^{\frac{47}{30} }[/tex]
[tex]P(47)=50(3)^{1.567}[/tex]
P(47) = 280
In 47 days, population of insects will be 280
c) P(t) = 750
[tex]750=50(3)^{\frac{t}{30} }[/tex]
[tex]\frac{750}{50}=(3)^{\frac{t}{30} }[/tex]
[tex](3)^{\frac{t}{n} }=15[/tex]
Using the property Power Rule of logarithm:
[tex]log(3)^{\frac{t}{30} }=log15[/tex]
[tex]\frac{t}{30}log(3)=log15[/tex]
[tex]t=\frac{log15}{log3} .30[/tex]
t = 74
To reach a population of 750 insects, it will take 74 days
d) To express the population growth into the described form, determine the constant k, using the following:
A(t) = 3A₀ and t = 30
[tex]A(t)=A_{0}e^{kt}[/tex]
[tex]3A_{0}=A_{0}e^{30k}[/tex]
[tex]3=e^{30k}[/tex]
Use Power Rule again:
[tex]ln3=ln(e^{30k})[/tex]
[tex]ln3=30k[/tex]
[tex]k=\frac{ln3}{30}[/tex]
k = 0.037
Equation for exponential growth will be:
[tex]A(t)=50e^{0.037t}[/tex]
Question in picture solve
Can anyone help me plz
Answer:
14, 1352, 36.8, 50.8, 50.8
Step-by-step explanation:
We get 14 by looking at the other measurement of the triangle that was given to us. We add the two values of 196 and 1156 to find the value of c^2.To find c, we would have to take the square root of c^2 (aka 1352), which will give us 36.8. The next blank is simple, you would just add 36.8 + 14 to get 50.8 just like it is shown in the problemWrite the same answer into the last blank.Hope this helped!
A square has side length (2x+3)in. What is the area of the square
Answer:
the area would be "4x2+9+12x"
sorry if this doesn't help :(
Step-by-step explanation:
Answer:
Answer given in the photo
21 laps in 7 minutes round to nearest hundredth
Consider Z1 = 4 - 4 sqrt3i and Z2 =-16i what is z1 - z2
Answer:
option C
Step-by-step explanation:
got it right on edge 2020
The expression Z₁ -Z₂ is 4 - (4√3 -16)i.
What is subtraction?Subtraction is mathematic operation. Which is used to remove terms or objects in expression.
The given expression Z₁ = 4 - 4√3i.
And Z₂ = -16i
Subtract Z₂ to Z₁:
Z₁ -Z₂
= 4 - 4√3i - (-16i)
= 4 - (4√3 -16)i.
Therefore, Z₁ -Z₂ is 4 - (4√3 -16)i.
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-2/4 divided by 8/6
what do you think?
Answer: -3/8
Step-by-step explanation:
What is An interior angle of a polygon that is not adjacent to the exterior angle
Answer:
remote interior angle
Step-by-step explanation:
HELP ASAP!!
Adam sold 6 of wrapping paper and 9 wrapping paper for a total of $219. Jane sold 12 wrapping paper and 13 rolls of SHINY wrapping paper for a total of $353. Find the cost each of one roll of PLAIN wrapping paper and one roll of SHINY wrapping paper .
Answer:
The answer is $14.6 for the plain paper and $14.12
Step-by-step explanation:
I think i'm probably wrong but 6+9= 15 so 219 divided by 15 is 14.6 so thats answer 1 and 12+13=25 and 353 divided by 25 is 14.12
:p sorry if im incorrect
Answer: The first answer for 6 of wrapping paper and 9 wrapping paper is $7.30. The second answer for 12 wrapping paper and 13 rolls of SHINY wrapping paper is $4.38.
Step-by-step explanation:
a zoo has a total of 8 lions and tigers. the number if tigers is one lese than twice the number of lions. wirte a system or equations that represents the number of lions and tigers
Answer:
Step-by-step explanation:
X+y=8
X=2y-8
Answer:
8 lions 15 tigers
Step-by-step explanation:
Jenny packed 108 eggs in 9 cartons. What is her unit rate?
Answer: I think its 117 sorry if im
wrong
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Write an equation that represents the question below...
Answer:
first use your brain
Step-by-step explanation:
step by step you have to learn first
Answer:
30
Step-by-step explanation:
15 x 2 = 30
he was q5 feet ahead so in another hour he will be 30 feet
What are the coordinates of the image of P(-2,5)
after a clockwise rotation of 90° about the origin?
Answer:
5,2
Step-by-step explanation:
Clockwise rotations for 90 is
The preimage of (x,y), or for this problem, (-2,5) into (y,-x).
So, a clockwise rotation is from x,y into y,-x
So we do -2,5 into 5,2
We flipped the x and y, and the 2 became positive because two negatives equal a positive
When a point is rotated, it must be rotated through a point.
The image of P is: (5,2)
The point is given as:
[tex]\mathbf{P = (-2,5)}[/tex]
The rule of 90 degrees clockwise rotation is:
[tex]\mathbf{(x, y) \to (y, -x)}[/tex]
So, we have:
[tex]\mathbf{(-2, 5) \to (5, 2)}[/tex]
This gives:
[tex]\mathbf{P' = (5, 2)}[/tex]
Hence, the image of P is: (5,2)
Read more about rotation at:
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Justin has a crate that is 8 feet long 2 feet wide and 3 feet tall decide weather each of the crate sizes described below has the same volume as Justin's crate
Complete question is;
Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall. Decide whether each of the crate sizes described below has the same volume as Justin’s crate.
a. 9 feet long, 1 foot wide, 4 feet tall
b. 8 feet long, 2 feet wide, 2 feet tall
c. 4 feet long, 4 feet wide, 3 feet tall
d. 8 feet long, 3 feet wide, 3 feet tall
e. 6 feet long, 2 feet wide, 4 feet tall Answer:
Options C & E have the same volume as Justin's crate.
Step-by-step explanation:
We are told Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall.
Thus, original volume is;
V_o = 8 × 2 × 3 = 48 ft³
A) For a dimension of 9 feet long, 1 foot wide, 4 feet tall , volume is;
V_a = 9 × 1 × 4 = 36 ft³
B) For a dimension of 8 feet long, 2 feet wide, 2 feet tall, volume is;
V_b = 8 × 2 × 2 = 32 ft³
C) For a dimension of 4 feet long, 4 feet wide, 3 feet tall, volume is;
V_c = 4 × 4 × 3 = 48 ft³
D) For a dimension of 8 feet long, 3 feet wide, 3 feet tall, volume is;
V_d = 8 × 3 × 3 = 72 ft³
E) For a dimension of 6 feet long, 2 feet wide, 4 feet tall, volume is;
V_e = 6 × 2 × 4 = 48 ft³
Looking at all the options, the only ones that given a volume equal to Justin's original volume are options C & E.
#2. A field of grass feeds 36 cows for 4 days. How
many days would the same field feed 20 cows?
162 cow-days
Since the initial grass and the grass accumulated over 4 days is equal to 144 cow-days, the initial grass is equal to (144 − 36) or 108 cow-days. Now, to find the answer to the question: in 18 days, the grass accumulation is equal to 18 ∗ 9 or 162 cow-days.
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Using the principle of proportional relationship, it will take 20 cows 7.2 days.
Setting up the relationship thus :
36 cows = 4 days
Hence, if they eact at the same rate ;
1 cow = 36 × 4 = 144 days
Hence, for 20 cows, it will take;
144 days ÷ 20
= 7.2 days
Hence, 20 cows will feed on the grass for 7.2 days
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Idk im confused ugh!!!!
Answer:
with what
Step-by-step explanation:
A line with a slope of -2 passes through the point (3-1). Which of the following is the equation of the line? (1) y=3x-2 (3) y=-2x + 5 (2) y = -4x-2 (4) y=-2x+1
Answer:
y=-2x-1
Step-by-step explanation:
Factor.
2m2 + 7m - 9
Answer:
4.500
Step-by-step explanation:
Tony’s taxi had a rate chart posted on the side of each cab. Distance charge: 1 mile- $3.50 2 miles- $5.50 4 miles- $9.50
Answer:c=2m+1.50
Step-by-step explanation:
If you plug in each mile for M that’s how you get the answer .
HELP PLEASE! Thank you! 15 POINTS
Answer:
Step-by-step explanation: for 8 thirds use the long lines to count back from 5 to 0 then once u get 0 use the little lines to get to 8 thirds towards 5 and do the same for -11 thirds but towrds -5
1What is the simple interest on #25 000 for 3years at 5% per annum?.
#28 750
#3 750
#2 875
#375
Answer:
3750
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex] ( P is the principal, R is rate of interest and T time in years )
Here P = 25000, R = 5 and T = 3 , thus
I = [tex]\frac{25000(5)(3)}{100}[/tex]
= [tex]\frac{375000}{100}[/tex]
= 3750
DUE TODAY PLEASE HELP!
I need help with both of these. What is x and what is the angle relationship converse used?
Answer: 12. X = 14
Step-by-step explanation:
10x + 17 = 87 + 5x
10x = 70 + 5x
5x = 70
X = 14
A forest covers 71,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
213 acres
Step-by-step explanation:
The Angels won ten games out of sixteen of their games during the 2009 regular season. At this rate, how many games do they need to win 50 games?
Answer: 80
10/16=0.625
0.625x80=50
common factors of 128 and 192
Answer:
The greatest common factor of 128 and 192 is 64, because 64 is the highest number that is divisible by both numbers.
The greatest common factor of 128 and 192 is 64 because 64 is the highest number that is divisible by both numbers.
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly.
In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two integers is x and y.
Given that the two numbers are 128 and 192. The greatest common factor is the largest number which is divided into both numbers.
128 = 2 x 2 x 2 x 2 x 2 x 2 x 2
192 = 2 x 2 x 2 x 2 x 2 x 2 x 3
The greatest common factor is,
GCF = 2 x 2 x 2 x 2 x 2 x 2
GCF = 64
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Evaluate 150-(2+2)^3
Answer:
86
Step-by-step explanation:
Answer: the answer is 86
Step-by-step explanation:
what is this reference:wenlocktoad-sama
Answer:
oh wenlocktoad is a game developer on reblax
The vertex form of the function is
y = (x +
)2 +
.
Answer:
4, -19
Step-by-step explanation:
Answer:
4 and -19
Step-by-step explanation:
Answers on edge 2021