The value of the difference of the functions is 3t^2/3
The difference in the growth of the specimen is 3t^2/3
Exponential functionsExpoenential functions are written in the form y= ab^x
Given the following expoenential functions
A(t) = 5/6t^2/3
B(t) = 1/3t^2/3
a) Determine the function (A-B(t)
(A-B)(t) = A(t) - B(t)
Substitute
(A-B)(t) = 5/6t^2/3 - 1/3t^2/3
(A-B)(t) = (5/6-1/3)t^2/3
(A-B)(t) = 9/3t^2/3
(A-B)(t) = = 3t^2/3
b) This means that the difference in the growth of the specimen is 3t^2/3
Learn more on exponential function here: https://brainly.com/question/12940982
Prove that equation ax^2+2hxy+by^2 always represent a pair of straight lines passing through the origin
Given a+b=7; a-b=3, find the following, 3^a divided by 3^b
Answer:
27
Step-by-step explanation:
a+b=7; a-b=3
Add the two equations together
a+b=7
a-b=3
----------------
2a + 0b = 10
2a = 10
Divide by 2
2a/2 = 10/2
a = 5
a+b = 7
5+b = 7
b = 7-5
b = 2
3^a / 3^b = 3^(a-b) = 3^(5-2) = 3^3 = 27
Find the surface area of the pyramid shown to the nearest whole number.
6ft 5ft 5ft
Answer:75,
Step-by-step explanation:
1/2 bh= A for one T 5*5=25 25*6= 150
150/2=75
OR
5*5/2=12.5
12.5*6=75
F(x)=3x-4; g(x)=2x+2; find g(f(x))
Answer:
6(x) - 6
Explanation:
g(x) = 2(x) + 2
f(x) = 3(x) - 4
go from right to left in such function questions.
g(f(x)):g(3(x) - 4)2(3(x) - 4) + 26(x) - 8 + 26(x) - 6Answer:
g = g(3x−4)=6x−6
Step-by-step explanation:
In a class, 60% of the students are boys and the rest are girls. If the number of boys is 30, how many students are there?
50 total students
20 girlsExplanation:
total students: 100%
----------------
60% → 301% → 30/601% → 0.5100% → (0.5 * 100)100% → 50number of girls:
total students - number of boys 50 - 3020find 6 rational numbers between 3 and 4.
Answer:
[tex] \frac{3 \times 10}{1 \times 10} [/tex]
And
[tex] \frac{4 \times 10}{1 \times 10} [/tex]
[tex] = \frac{30}{10} \: and \: \frac{40}{10} [/tex]
[tex] \frac{31}{10} \frac{32}{10} \frac{33}{10} \frac{34}{10} \frac{35}{10} \: and \: \frac{36}{10} [/tex]
Step-by-step explanation:
these are the six rational numbers between 3 and 4
Answer:
[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}[/tex]
Step-by-step explanation:
Write 3 and 4 as rational numbers with a common denominator.
Common denominator = common multiple = 12
[tex]\implies 3=\dfrac{3 \times 12}{12}=\dfrac{36}{12}[/tex]
[tex]\implies 4=\dfrac{4 \times 12}{12}=\dfrac{48}{12}[/tex]
Therefore, the rational numbers between them with a denominator of 12 are:
[tex]\dfrac{37}{12}, \dfrac{38}{12}, \dfrac{39}{12}, \dfrac{40}{12}, \dfrac{41}{12}, \dfrac{42}{12}, \dfrac{43}{12}, \dfrac{44}{12}, \dfrac{45}{12}, \dfrac{46}{12}, \dfrac{47}{12}[/tex]
Reduced to their simplest form:
[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}, \dfrac{43}{12}, \dfrac{11}{3}\dfrac{15}{4}, \dfrac{23}{6}, \dfrac{47}{12}[/tex]
**There are many, many more rational numbers between 3 and 4 that we could find by changing the denominator**
Jessica has 573 stickers in her collection. How many sets of 10 stickers does jessica have in her collection?
Answer:
57 3/10 or 57.3 sets
Step-by-step explanation:
573 stickers divided by 10 sets
Answer:
57 sets of 10 stickers
Step-by-step explanation:
573/10 = 57.3
so, 57 sets of 10 stickers.
Hope this helped! Have a nice day!
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- King Jaron
If f(x) = 2x - 5, then f(4) is
017
03
04
05
Answer:
3
Step-by-step explanation:
f(x) = 2x-5 put in 4 for x
f(4) = 2(4) - 5 = 3
can someone help with this please I would really appreciate it.
Answer:
The answer is 8 ft ^3
Step-by-step explanation:
1. 4 (base ) x 4 (width) x 2 (height)
2. Get the answer of 32.
3. Do 32 x 1/4 because each square is 1/4 ft.
4. Get the answer of 8
Hope this helps! :)
A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?
Answer:
18
Step-by-step explanation:
What is the value of this expression?
6n + 5y + 4z
n=4
y=3
z=2
Show the work
Answer:
47
Step-by-step explanation:
6n + 5y + 4z
substitute the variables
6(4) + 5(3) + 4(2)
6 x 4 = 24
5 x 3 = 15
4 x 2 = 8
24 + 15 + 8
= 47
Translate this sentence into an equation.
55 is the product of 5 and Mabel's height.
Use the variable m to represent Mabel's height.
Answer:
5 x m = 55
Step-by-step explanation:
This is because 55 is the product and this means multiplication and 5 x something is 55
50 = 3x+14 solve for x
Anthony is 3 years older than his brother. write an equation you can use to find their ages. do not solve
equation: 3+x=
anthony= 3 years older
x= age of his brother
You must add 3 more years to the brother's age.
if a certain number is added to the denominator of the fraction 3/5 and 7 is added to the numerator, the result is a fraction that will reduce to 1/2. what number is added to the denominator? let x = the number added to the denominator
Answer:
X=15
Step-by-step explanation:
First add 7 to the 3(numerator)=10. Since anything equivalent to half is half of the denominator, the denominator needs to be 20. 20-5=15. So, X=15
Answer:
Step-by-step explanation: X=15
ratio in simplest form. 300, 30,3,
Answer:
100,10,1
dividing by 3 we get the above answers
I NEED HELP IM STUCK ON THIS
Step-by-step explanation:
[tex]12 \frac{1}{25} - 7 \frac{2}{15} [/tex]
[tex] \frac{368}{75} [/tex]
Which equation has no solution? |4x – 2| = –6 |–2 – x| = 9 |3x 6| = 6 |–2x 8| = 0
Step-by-step explanation:
The absolute value of any equation can never be negative.
|4x - 2| = -6 has a negative value -6.
The |4x - 2| = -6 has no solution for x because |x| can not be negative.
If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the customers currently in line to check out?
Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:
P(X = 0) = 0.2;P(X = 1) = 0.15;P(X = 2) = 0.30;P(X = 3) = 0.20;P(X = 4) = 0.10;P(X = 5) = 0.05;Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:
P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.
0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
More can be learned about a discrete probability distribution at https://brainly.com/question/24855677
100 POINTS AND BRAINLYEST
Tara has
cup of ice cream. How many --cup servings are in
3
4
cup of ice cream?
1
5
Answer: 3.75 Cups
3/4=_/20, to get that multiply the bottom number by each other, in doing so,you will get 15/20, now lets make 1/5= to 20, so we get 4/20 so therefore saying 4/20+4/20+4/20=12/20, so you can make 3 1/5 cups and you will have 3/20 (scoops? cups?) left of ice cream, so 3.75 cups
Step-by-step explanation: HOPE THIS HELPS U!!! LOV<3
the diameter of a circle is 16, and its center is located at (-2,-6) what is the equation of the circle?
(x+2)² + (y+6)² = 64
Given:
centre : (-2,-6)diameter : 16radius : 8=============
Formula's:
(x-h)² + (y-k)² = r²centre : (h, k)radius : r===========
equation:
( x - (-2))² + (y-(-6))² = 8²(x+2)² + (y+6)² = 64Determine whether the following is a statistical question.
how many boogers does karissa the ogre have in her left nostril?
choose 1 answer:
a
statistical
b
not statistical
Jerry's return took 2/5 hour longer. How long did his return take? His trip was 1 3/5 hours.
Answer:
It took 4/5 of an hour or 48 minutes
Step-by-step explanation:
Serenity needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.5 hours and charged her $62 for parts. The total was $309.50. What was the cost of labor, per hour?
Answer:
the cost of labor per hour is $55
Step-by-step explanation:
Let C = cost of labor per hour
Let h = hours worked
Let p = cost of parts
Let t = total price
[tex]c = \frac{t - p }{h} \\\\c = \frac{309.50 - 62}{4.5} \\\\c = \frac{247.50}{4.5} \\\\c = 55[/tex]
You have five employees. They work the following number of hours last week: 42, 26, 39, 12, 55. What is the median number of hours worked
Answer:
39
Step-by-step explanation:
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set!
Hope this helps
I need help with this fast
In a class of 24 pupils, if 10 are females. Calculate the ratio of males : total
Answer:
14 : 24
Step-by-step explanation:
If 10 of the 24 pupils are female, then that means the other 14 is male. Therefore, the ratio of males : total would be 14 : 24.
I hope this helps! Have a lovely day!! :)
(brainliest is much appreciated!!)
Answer:
14:24
Step-by-step explanation:
24 pupils = total
24 total - 10 females = 14 males
The ratio is
males : total
14 males : 24 people total
the simplified ratio is
7 males : 12 people
11, 20, 29, ...
Find the 43rd term.
Answer:
389
Step-by-step explanation:
20 - 11 = 9
29 - 20 = 9
This is a geometric sequence with a common difference of 9.
a_1 = 11
a_2 = 11 + 9
a_3 = 11 + 2 × 9
...
a_n = 11 + (n - 1) × 9
a_43 = 11 + (43 - 1) × 9
a_43 = 11 + 42 × 9
a_43 = 389
Hence, the [tex]43[/tex]rd term is [tex]389[/tex].
What is the sequence?
A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.
Here given sequence is [tex]11, 20, 29, ...[/tex]
Here,
[tex]a=11\\\\d=a_2-a_1\\d=20-11\\d=9[/tex]
The general formula is
[tex]a_n=a+(n-1)d[/tex]
where,
[tex]a_n[/tex] is the [tex]n[/tex]th term
[tex]a[/tex] is the first term
[tex]n[/tex] is the number of terms
[tex]d[/tex] is the common difference
Substituting the values in the general formula
[tex]a_n=a+(n-1)d\\\\a_{43}=11+(43-1)9\\\\a_{43}=11+(42)9\\\\a_{43}=11+378\\\\a_{43}=389[/tex]
Hence, the [tex]43[/tex]rd term is [tex]389[/tex].
To know more about the sequence
https://brainly.com/question/1293486
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sin^2(360°-x)+cosx.cos(360°-x)
Answer:
1
Step-by-step explanation:
sin²(360⁰-x)+cosx.cos(360⁰-x)
sin²x+cosx.(cosx)
sin²x+cos²x
1
I hope it helped you