Which of the three situations given below is best modeled by an exponential function?
I. A bacteria culture doubles in size every day.
II. A plant grows by 1 inch every 4 days.
III. The population of a town declines by 5% every 3 years.
I. The bacteria culture doubles in size every. day
Explain how to draw a larger triangle that has the same two angle measures. Label the triangle JKL.
Answer:
First of all draw a base line
then, get a compass and extend it as needed for the base of triangle
after that, adjust the length of compass to 2 cm approximately
then at both end points of base draw angle of 60° to 75° ( because you asked for a larger triangle )
then draw out a straight line from the angle you made and intersect both of the lines then you get the third point.
Now, boom your triangle is ready..
I NEED ANSWERS
b=10m с a=7m
Answer:
c = 12.2
Step-by-step explanation:
a squared + b squared = c sqared
7 squared + 10 squared = 49+ 100 = 149 = \(\sqrt{x} 149\) = 12.2
Help! Math Perimeter!
*PLEASE ANSWER!! I WILL GIVE BRAINLIEST*
A police officer gets paid $50 per hour. If she works a holiday, she gets paid time and a half. How much would the officer earn if she worked 7 hours on Christmas day (a holiday)?
a.) $500.00
b.) $525.00
c.) $350.00
Answer:
the correct answer is b $525.00
Step-by-step explanation:
half of her earnings is 25 dollars if she makes time and a half it would be 50 + 25 = $75/hr of overtime (overtime wage)
if she works 7 hours of overtime then... (hours she work) x (overtime wage)
7 x 75 = 525
so her pay would be $525.00
the correct answer would be B
Find the general solution of the given differential equation.
dy/dx=6y
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points.)y(x) =
(0, 6)
(−[infinity], [infinity])
(−6, [infinity])
(−1, 1)
(0, [infinity])
Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.)
Answer:
Step-by-step explanation:The general solution of the given differential equation dy/dx = 6y is y(x) = Ce^(6x), where C is an arbitrary constant.
The largest interval over which the general solution is defined is (-∞, ∞), which means the solution is valid for all real values of x.
There are no transient terms in the general solution, so the answer is NONE.
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Geometry Application. The perimeter of a square is 36 inches. Write and solve an equation to find the length of each side of the square. (Hint: Remember that the perimeter is the distance around a figure.)
Answer:
144
Step-by-step explanation: simple do 36x4 which equals 144. the for comes from all sides of the shape
Can someone help me with this problem
Answer:
H and N
Step-by-step explanation:
Four friends are playing a "Guess my Age" game. The come up with the following
clues. Dave's age is 15% of Sabrina. Luca's age is 75% of Sabrina and Rhianna is 300%
of Dave. The sum of their ages is 141. How old is Rhianna?
Show your work!
Answer:
27 years old
Step-by-step explanation:
What I know
Let D = Dave, S = Sabrina, etc. Then:
(1) \(D=0.15S\)
(2) \(L=0.75S\)
(3) \(R=3.00D\)
(4) \(D+S+L+R=141\)
Want to find R. Taking equation 3 and rewriting equation 4, we get
\(R=3.00D\)
\(R=141-D-S-L\)
So if \(R=R\), then
\(3D=141-D-S-L-R\)
\(4D=141-S-L\) by adding \(D\) to both sides.
Using equation 1 and equation 2, I can rewrite everything in terms of \(S\) and get:
\(4(0.15S)=141-S-0.75S\)
\(0.6S=141-1.75S\)
\(2.35S=141\) by adding \(1.75S\) to both sides.
\(S=60\) by dividing 2.35 both sides.
Now that I know Sabrina's age, I'll work towards getting Rhianna's using equation 1 and equation 3:
\(D=0.15(60)=9\)
\(R=3.00(9)=27\)
Checking my work:
Dave: 9
Sabrina: 60
Luca: 45 (since 9+60+45+27=141)
Rhianna: 27
9 is 15% of 60
45 is 75% of 60
27 is 300% of 9
The equation of the regression line for the data in the table is ý = 4.9x - 198,where x represents the height and ŷ is the predicted walking speed.Student Height (in) Walking speed (m/min)Alice63108701457315968143641176613269144SantiagoIsaiahElliotAlexisLydiaScottWhat is the meaning of 4.9 in the equation?
ANSWER:
B. For every 1-inch increase in height, walking speed increases by 4.9 m/min
STEP-BY-STEP EXPLANATION:
We have the following expression:
\(y=4.9x-198\)4.9 is the slope of the function, that is, it is the increase in y (walking speed) given by a unit in x (height).
This means that for every 1 inch that the walking speed increases, it increases by 4.9 units.
Therefore, the correct answer is B. For every 1-inch increase in height, walking speed increases by 4.9 m/min
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.
Answer:
.........................
Step-by-step explanation:
.................................................
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 3 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
`
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
hope this helps
plz can i get brainliest:)
1 question Plus brainliest help fast and I will add you too please please help
Answer:
its C
Step-by-step explanation:
Answer: C is the correct answer
Step-by-step explanation:
all right guys help me out a little bit no jokes this is worth 13 points I need help with 432 / 73
Answer:
5.91780821918
Step-by-step explanation:
432/73 is the same as 432 ÷73=5.91780821918
Hope this helps ∞<3
Solve the equation.
-7b=21
Step-by-step explanation:
-7b=21
Divide both sides by - 7
B= -3
18$ for three book what is the unit rate
Answer:
nswer:
= 6 dollars per book
Showing Work
This is a fraction equal to
18 dollars ÷ 3 books
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3
18 dollars ÷ 3
3 books ÷ 3
=
6 dollars
1 book
=
6 dollars
book
= 6 dollars per book Step-by-step explanation:
Simplify 3x + (2+7x)
Answer:
10x+2
Step-by-step explanation:
3x+(2+7x)=3x+2+7x
=10x+2
A grocery store sells a bag of 7 oranges for $4.48. If Khloe spent $6.40 on oranges, how many did she buy?
She need to buy 10 oranges of $6.40.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit.
We are given that grocery store sells a bag of 7 oranges for $4.48. If Khloe spent $6.40 on oranges, then
We have to do as $4.48 divide by 7
4.48 / 7 = $0.46
Therefore, Each orange costs $0.64
For 10 oranges;
$0.46 x 10 = $6.40
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15 first-year algebra students are learning how to solve two-step equations. the teacher notices that the students are not using precise mathematical language. which two instructional strategies should the teacher employ to encourage students to use precise mathematical language when completing this task? choose 2 answers
Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.
However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.
So the list goes as
1. Exponents
2. Roots
3. Multiplication
4. Division
5. additional
6. Subtraction
However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.
Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.
Furthermore, the preferred behavior norm for division and multiplication is different.
Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.
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What’s the value of this expression
3x6-4+8/2
Determine if the lines are parallel, perpendicular, or niether.
y= x + 2 and y= x – 7
Boden's account has a principal of $400 and a simple interest rate of 4.4%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Assuming Boden does not add or take out any money, he would have $470.4 in the account after 4 years.
How to calculate simple interest?Mathematically, simple interest can be calculated by using this formula:
S.I = PRT or S.I = A - P
Where:
S.I represents the simple interest.P represents the principal or starting amount.R represents the interest rate.A represents the future value.T represents the time measured in years.Substituting the given parameters into the simple interest formula, we have;
S.I = 400 × 4.4/100 × 4
S.I = 400 × 0.044 × 4
S.I = $70.4.
Next, we would calculate the future value as follows;
S.I = A - P
Future value, A = S.I + P
Future value, A = $70.4 + $400
Future value, A = $470.4.
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Multiply and simplify.
(t+8)(3+³+41+5)
Hint:
1. Multiply
t(3t³+4t+5)
2. Multiply 8(3t³ +4t+5)
3. Combine LIKE terms.
I need help please thanks guys
The population of Busy Village is 3 X 108, and the population of Boring Town is 6 X 103.
Busy Village is how many times the population of Boring Town?
Express your answer in proper scientific notation.
Answer:
5 × 10^4 timesStep-by-step explanation:
Busy Village: 3 × 10^8Boring Town: 6 × 10^3Busy Village is how many times the population of Boring Town?
3 × 10^8 / 6 × 10^3=30 × 10^7 / 6 × 10^3 =30/6 × 10^(7 - 3) = 5 × 10^4 timesPlease Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
a hexadecimal number is a number written in the base 16 number system.
t
f
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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A shipping company uses a formula to determine the cost for shipping a package: c = 2.79 + 0.38p, where c is the cost of shipping and p is the number of pounds. What is the cost of shipping a package that weighs 8 pounds?
Using the formula they gave us:
Cost of shipping = 2.79 + 0.38(8)
Cost of shipping = 2.79 + 3.04
Cost of shipping = 5.83(currency unit)
C is the midpoint of BD . If CD = 2x and BD = 3x + 5, what is CD?
Solve the following using the order of operations: 2/3+ 5/6 divide 1/2
First option is the correct answer
Answer:
\( 2 \frac{1}{3} \)
Step-by-step Explanation:
\( \frac{2}{3} + \frac{5}{6} \div \frac{1}{2} \\ \\ = \frac{2}{3} + \frac{5}{6} \times \frac{2}{1} \\ \\ = \frac{2}{3} + \frac{5}{3} \\ \\ = \frac{2 + 5}{3} \\ \\ = \frac{7}{3} \\ \\ = 2 \frac{1}{3} \)
Answer:
its the first option 2 1/3
Step-by-step explanation:
Do the following: a. Find ged(5746, 624): b. In Zis, find the multiplicative inverses of i.1: ii.2: iii.4: iv.7: v.8: vi.11 vii.13: viii. 14: c. Find the multiplicative inverse of 73 in Z342
a. The greatest common divisor (gcd) of 5746 and 624 is 2.
b. In Z, the multiplicative inverses are as follows: i. 1 has no multiplicative inverse, ii. 2 has no multiplicative inverse, iii. 4 has no multiplicative inverse, iv. 7 has a multiplicative inverse of 3, v. 8 has no multiplicative inverse, vi. 11 has a multiplicative inverse of 19, vii. 13 has a multiplicative inverse of 27, viii. 14 has a multiplicative inverse of 61.
c. The multiplicative inverse of 73 in Z342 is 253.
a. To find the gcd(5746, 624), we can use the Euclidean algorithm. By repeatedly dividing the larger number by the remainder, we find that the gcd is 2.
b. In Z, the multiplicative inverses are the numbers that, when multiplied by the given number, result in the modular identity element (1). For i. 1, there is no number in Z that satisfies this condition, so it has no multiplicative inverse. The same applies to ii. 2 and iii. 4. For iv. 7, the multiplicative inverse is 3 since 7 * 3 = 21 ≡ 1 (mod 24). For v. 8, there is no multiplicative inverse. For vi. 11, the multiplicative inverse is 19 since 11 * 19 = 209 ≡ 1 (mod 24). For vii. 13, the multiplicative inverse is 27 since 13 * 27 = 351 ≡ 1 (mod 24). For viii. 14, the multiplicative inverse is 61 since 14 * 61 = 854 ≡ 1 (mod 24).
c. To find the multiplicative inverse of 73 in Z342, we need to find a number x such that 73 * x ≡ 1 (mod 342). By calculating the modular multiplicative inverse using the extended Euclidean algorithm or by trial and error, we find that the multiplicative inverse of 73 in Z342 is 253 since 73 * 253 = 18469 ≡ 1 (mod 342).
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