Answer:
C= $1t + x
Step-by-step explanation:
So, an organic gallon of milk is 1 dollar more then regular so the equation starts at $1 + x.
But then buying the organic milk over time is t so you add that to the one dollar since it applies to the organic milk. Now the equation is $1t + x.
But now, the expression we wrote is equal to C so, now the equation is C=$1t + x
Need help with exponential functions for a test!!!!!
The growth of a certain organism can be modeled by C(t)=10(1.029)^24t, where C(t) is the total number of cells after t hours. Which function is approximately equivalent to C(t)?
1. C(t) =240(0.083)^24t
2. C(t)=10(.083)^t
3. C(t)=10(1.986)^t
4. C(t)= 240(1.986)^t/24
Given:
The function is:
[tex]C(t)=10(1.029)^{24t}[/tex]
Where, C(t) is the total number of cells after t hours.
To find:
The function that is approximately equivalent to C(t).
Solution:
We have,
[tex]C(t)=10(1.029)^{24t}[/tex]
It can be rewritten as:
[tex]C(t)=10(1.029^{24})^{t}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]C(t)\approx 10(1.986)^{t}[/tex] [tex][\because 1.029^{24}\approx 1.986][/tex]
The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).
Therefore, the correct option is 3.
Answer:
c
Step-by-step explanation:
Find the height of a trainable with an area of 22 square inches and a base of 4 inches. Include the measurement of the shape in your answer. First who gets it right gets brainliest
Answer:
The height is 11 in
Step-by-step explanation:
I think you mean triangle?
area of a triangle is A = 1/2 b h
fill in and solve for h
22 = 1/2 4 h
44 = 4h
11 = h
timed, please hurry. thank you !
WHAT IS THE HEIGHT OF THE TREE ROUNDED TO THE NEAREST TENTHS PLACE
Answer:
Where is the number i need to round to?
(Please don't give me a bad rating i'm trying to help :) )
The formula for finding the surface area of a cube is SA = 6s2. If s = 4 cm, which THREE statements are correct?
Answer:
The formula for finding the surface area of a cube is SA = 6s2. If s = 4 cm, which THREE statements are correct
Step-by-step explanation:
Carmen will randomly pick one marker from a bowl and one crayon from another bowl.
- There are 4 green markers, 3 brown markers, and 1 purple marker.
- There are 6 orange crayons and 2 yellow crayon.
What is the probability of picking a brown marker and a yellow crayon?
24 What is 0.64 rounded to the tenths place? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
0.6 is the answer hope this helps
have a nice day bye
a
b
c
d
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
it's not A or D
Step-by-step explanation:
math I guessssssss
Answer:
D
Step-by-step explanation:q
If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.
Since the side opposite is 12, the hypotenuse is easily found.
1/2 = opposite / hypotenuse
1/2 = 12 / hypotenuse Cross multiply
hypotenuse = 2 * 12
hypotenuse = 24
Now use the Pythagorean Theorem to get the third side.
c = 24
a = 12
b = ?
a^2 + b^2 = c^2
12^2 + b^2 = 24^2
144 + b^2 = 576 Subtract 144 from both sides.
b^2 = 576 - 144
b^2 = 432
Now you have to factor 432 down to its primes
432 = 2 * 2 * 2 * 2 * 3 * 3 * 3
The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.
sqrt(b^2) = sqrt(432)
b = 4 * 3sqrt(sqrt(3))
b = 12 sqrt(3)
Answer
r = 12*sqrt(3)
t = 24
The answer is D
Factor −1/2 out of −1/2x+6.
Answer:
Step-by-step explanation:
socratic.org/questions/how-do-you-factor-1-2-out-of-1-2x-6#630699
The equation is A = - ( 1/2) [ x - 12 ]
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
Now , the value of A is A = - ( 1/2 )x + 6
Now , on factorizing the given expression , we get
On taking the common term as - ( 1/2 )
A = - ( 1/2 )x + 6
A = - ( 1/2 ) [x - ( 2 x 6 ) ]
On simplifying the equation , we get
A = - ( 1/2 ) [ x - 12 ]
Therefore , the value of A is A = - ( 1/2 ) [ x - 12 ]
Hence ,The equation is A = - ( 1/2) [ x - 12 ]
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
plz help i need this right now
PLEASE HELP!!
what is the arrow pointing to? (l
CHECK THE PHOTO
Answer:
3.7
Step-by-step explanation:
each tick represents .1 unit
Which of the following
could be the equation of a trend
line for the scatter plot shown?
A. y = -3x - 6
B. y = -4x + 8
C. y = 2.5x + 7
D. y = x -8
Answer:
i think b. it's the only answer that would make sense.
Step-by-step explanation:
let me know if this is wrong.
The median income for a sample of people from Chicago is about $60,000 and the
median income for a sample of people from Kansas City is about $46,000, but
researchers have determined there is not a meaningful difference in the medians.
Explain why the researchers might be correct.
Answer:
106,000 is the answer help me with my answer to
Answer:
The medians differ by $14,000, but if the IQR is larger than about $7,000, there will not be a meaningful difference between the median salaries in the two cities.
Step-by-step explanation:
What is the value of the expression 3b+20 for b=30
Answer:
110
Step-by-step explanation:
3×30=90
90+20=110
hope this helps
plz can i get brainliest:)
Choose all of the formulas you would use to find the volume of the compound solid shown here.
V=nrn
V = ਗr
V = Turn
V = 47112
Answer:
v= pi*r^2*h
v=1/3 * pi*r^2*h
please please help!!, please show help if possible :D
Eva received a 20% discount when she bought a sweater. The original price of the sweater before the discount was $80. Which was the discount on Eva's sweater?
Answer:
8
Step-by-step explanation:
Yes
Madison makes $1,800 per month at the salon, but 15% of that amount goes to her rent for her booth. What two numbers can you multiply to find out how much she has after paying her rent?
Answer:
well the answer is 120
Step-by-step explanation:
Please help with real answer :-(
Answer:
B
Step-by-step explanation:
subtract the function of h by the real number and write it in form of inequality
A B and C from a triangle where BAC =90 AB = 7.4 mm and CA = 12 and find the length of AC , giving your answer rouned to 1DP
Question: A B and C form a triangle where BAC = 90°. AB = 7.4 mm and CA = 12 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answer:
14.1 mm
Step-by-step explanation:
From the diagram attached,
Using pythagoras theorem,
a² = b²+c²............... Equation 1
From the attached file,
Given: a = x, b = 7.4 mm, c = 12 mm
Substitute these values into equation 1, and solve for x
x² = 7.4²+12²
x² = 54.76+144
x² = 198.76
x = √(198.76)
x = 14.1 mm
Hence, the length of BC = 14.1 mm
3. solve (-7) + b = (-11)
An aeroplane is 528 ft directly above an automobile and starts east at the rate of 20 miles an hour at the same instant the automobile starts east at the rate of 40 miles an hour. How fast are they separating
Answer: 20 mph
Step-by-step explanation:
Given
The airplane is at a height of 528 ft with a rate of 20 mph
The automobile is also directing east at the rate of 40 mph
at this instant, they are separating by the relative velocity between them
[tex]\Rightarrow v_{rel}=40-20=20\ mph[/tex]
552.64 round to the nearest whole number
Answer:
553
Step-by-step explanation:
(HURRY PLZ)Use the given angle measures to answer the following
questions.
M
m
Activity 1 of 2
Part A: If Angle A and Angle B are vertical angles,
what is value of x?
A:10
в:35
C: 28
D: 8
Activity 2 of 2
Part B: If Angle A and Angle B are supplementary
angles, what is measure of
Angle B?
A :90 °
B :28 °
C :180 °
D: 140 °
Answer:
If Angle A and Angle B are vertical angles,
what is value of x?
D. 8
If Angle A and Angle B are supplementary
angles, what is measure of
Angle B?
D. 140
Step-by-step explanation:
If Angle A and Angle B are vertical angles,
what is value of x?
Vertical angles are congruent thus
40° = 5x°
5x° = 40°
(5x / 5)° = (40 / 5)°
x° = 8°
If Angle A and Angle B are supplementary
angles, what is measure of
Angle B?
Supplementary angles add up to 180° or a straight line.
180° – 40° = 140°
Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest. What is the total amount that Mr. Juarez will have in his account at the end of 3 years?
Answer:
$576.80
Step-by-step explanation:
We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.
We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.
We will use simple interest formula to solve our given problem.
[tex]A=P (1+rt)[/tex]
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 1% into decimal form,
1%=1/100=0.01
P=$560 and t=3
A=$560 (1+0.01(3))
A=$560 (1+0.03)
A= $560 (1.03)
A= $576.80
Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!
The number of music CDs sold in 1993 by one company was approximately 2.4 x 100. The number of music CDs sold by the same
company in 2001was approximately 7.3 x 107. What is the difference in CDs sold between 1993 and 2001?
sobod uopsand
A. 70,600,000
OB. 16,700,000
C. 7,060,000
D. 1,670,000
Reset Selection
US 5:33
o
Lenovo
Answer:
A
Step-by-step explanation:
Dr. Garica is twice as old as his son. Twenty years ago he was 4 times as old as his son was then. How old are they now?
Answer:
Let's let g = Dr. Garcia's age and s = his son's age.
g = 2s, right?
20 years ago, Dr. Garcia was g - 20 years old. He was also 4(s - 20), 4 times his son's age 7 years ago.
g - 20 = 4(s - 20)
g - 20 = 4s - 80
In the first equation, we have g = 2s. We are going to substitute this g into the second equation.
2s - 20 = 4s - 80
60 = 2s
s = 30
So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.
20 years ago, his son would have been 10 and Mr. Garcia would have been 40. 10 x 4 = 40.
Step-by-step explanation:
Brainliest?
Answer:
Dr. Garcia's age is 60, and his son's age is 30.
Step-by-step explanation:
Let x be Dr. Garcia's age, and y his son's age.
1. Dr. Garcia is twice as old as his son
x = 2 y
2. Twenty years ago, he was 4 times as old as his son was then
x - 20 = 4 (y - 20)
Substitute x in 2 and solve for y:
2 y - 20 = 4 (y - 20)
2 y - 20 = 4 y - 80
- 20 = 2 y - 80
60 = 2 y
y = 30
Put y back into 1:
x = 2 (30)
x = 60
So Dr. Garcia's age is 60, and his son's age is 30.
Raul uses a credit card to take out a 3-year loan of $4500 at a rate of 15% to purchase
carpeting for his house. What will be the total amount he will repay for this loan?
Answer:
Amount of loan pay = $6.840 (Approx.)
Step-by-step explanation:
Given:
Amount of loan borrow = $4,500
Rate of interest = 15% = 0.15
Number of year = 3 year
Find:
Amount of loan pay
Computation:
Future value = Present value[1+r]ⁿ
Amount of loan pay = Amount of loan borrow[1+r]ⁿ
Amount of loan pay = 4,500[1+0.15]³
Amount of loan pay = 4,500[1.15]³
Amount of loan pay = 4,500[1.52]
Amount of loan pay = $6.840 (Approx.)
An art class consists of 8 boys and 10 girls. The teacher
randomly chooses 3 students to present their work. Find the
probability that all 3 of the students chosen are girls.
Answer: 14/285
Step-by-step explanation:
B = 10
G = 8
T = 18
So its a 8/20 that 1 is a girl but then 2nd its 7/19 and 3rd 6/18 so
8/20 * 7/19 * 6/18 = 14/285
How much do you save using the better buy? 432 for 6 or 364 for 7