The inverse equation of the equation is: A =T2/3
The equation is given as:
T = A3/2
To calculate the inverse equation, we start by multiplying both sides of the equation by 2
T2 = A3
Next, we divide both sides of the equation by 3
A =T2/3
The equation cannot be further simplified
Hence, the inverse of the equation is: A =T2/3
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The value of A in terms of T is [tex]A=\frac{2}{3}T[/tex]
Inverse equation:The given equation is,
[tex]T=\frac{3}{2}A[/tex]
We have to find value of A in terms of T.
[tex]T=\frac{3}{2}A\\\\A=T\div \frac{3}{2}\\ \\A=T*\frac{2}{3}\\ \\A=\frac{2}{3}T[/tex]
Thus, the value of A in terms of T is [tex]A=\frac{2}{3}T[/tex]
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simplify each expression.
1:4+6(8)
2:2.7+3.6×4.5
3:17-[(3+2)×2]
4:4×3^2+2
5:6×(3+2)÷15
6:40÷5(2)
Answer:
1. 80
2. 18.9
3. 7
4. 146
5. 2
6. 4
Step-by-step explanation:
1. 6+4=10
10×8=80
2. 3.6×4.5= 16.2
16.2+2.7= 18.9
3. 3+2=5
5×2= 10
17-10=7
4. 4×3=12^2
12×12=144
144+2= 146
5. 3+2=5
5×6=30
30÷15=2
6. 5×2= 10
40÷10=4
Caleb painted a regular wall that was 15 feet long and 12 feet tall. He divided the wall into two congruent, right triangles and painted each try and go to different color. What was the area, and square feet, of each triangle?
Answer:
Step-by-step explanation:
Each triangle has a formula of 1/2 a*b
So one triangle = 1/2 * 12 * 15 = 90
So the other one is the same area of 90 square feet.
Together they make 180 square feet.
You can check this by simply multiplying a*b = 12 * 15 = 180 square feet.
To put a narrow border around a square photo, alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she have enough trim for all four sides of the square? Explain how you decided.
Answer:
yes
Step-by-step explanation:
ur right
10x - 5 <41 - 53
solve the inequality below for x
Answer:
[tex]x<-\frac{7}{10}[/tex]
Step-by-step explanation:
[tex]10x - 5 <41 - 53[/tex]
[tex]10x-5<-12[/tex]
Add 5 to both sides:
[tex]10x-5+5<-12+5[/tex]
[tex]10x<-7[/tex]
Divide both sides by 10:
[tex]\frac{10x}{10}<\frac{-7}{10}[/tex]
[tex]x<-\frac{7}{10}[/tex]
Answer:
-0.7
Step-by-step explanation:
10x<41-53+5
10x<-7
x<-7/10 or -0.7
so x has to be less than -0.7
Slope:-2;y intercept: 3
Answer:
y = -2x + 3
Step-by-step explanation:
Hope this helps!
Simplify the product using the rules for exponents 14^3• 14^4
Answer:
105,413,504
Step-by-step explanation:
14x14x14= 2,744
14x14x14x14= 38,416
2,744x38,416= 105,413,504
wut is the answer of 4-1/3x=8 step by step
Answer:
[tex]\frac{4-1}{3x}=8/3x\\ 4-1=24x\\24x=3/24\\x=\frac{1}{8}[/tex]
Step-by-step explanation:
Find the values of x and y
Answer:
x = 30
y = 10
Step-by-step explanation:
3x° is a right angle so it equals 90°. To solve for x, you need to divide 90 by 3. This equals 30.
In order to find what the angle with y equals, you have to find the rest of them. So if you add 135° + 90° + 90° you get 215. Which is the missing angle.
So to solve for y in (5y - 5) = 45°, you add 5 to 45, which is 50 and then divide by 5. This is how you get y=10.
of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
Graph a
Graph b
Graph c
Graph d
Answer:B
Step-by-step explanation:
1 sack of flour contains 18 cups. It takes 3 cups of flour to make a batch of cookies. How many batches of cookies can you make with TWO sacks of flour? Identifiey the lead coefficient and the constant term of the following.
Answer:
12
Step-by-step explanation:
18x2=36
36/3=12
What is the slope of the line?
I really need help
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Take two points that are on the line.
In this case, I have taken (-3,2) <- this is [tex](x_{1} ,y_{1} )[/tex]
and (1,-1) <- this is [tex](x_{2} ,y_{2} )[/tex]
To find the slope, you do the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Put in the values:
[tex]\frac{-1-2}{1-(-3)} =-\frac{3}{4}[/tex]
Write an equation for the description.
Ten times the sum of half a number x and 5 is 9.
5х - 7 = 6x - 3
What is the answer/steps?
Steps to solve:
5x - 7 = 6x - 3
~Add 7 to both sides
5x = 6x + 4
~Subtract 6x to both sides
-x = 4
~Divide -1 to both sides
x = -4
Best of Luck!
U is the set of natural numbers less than 8. G is the set of even integers less than 10. Which is the
complement of set G in universe U? a.{1,3,5,7} b. G c. {2,4,6} d. {1,3,5,7,8}
=============================================
U = set of natural numbers less than 8
U = {1,2,3,4,5,6,7,8}
G = set of even integers less than 10
G = {..., -4, -2, 0, 2, 4, 6, 8}
Circle the items in G that are also in set U. Those items are {2,4,6,8}
Then go back to set U = {1,2,3,4,5,6,7,8} and erase 2,4,6,8 to be left with {1,3,5,7}
The complement of a set is everything that isn't in a given set. Think of it as the opposite.
HELP ME PLEASEEE
-1/3(y-3)=11
Answer:
y=-4
Step-by-step explanation:
Equation: -1/3(y-3)=11
First multiply -1/3 by y and by -3 because they are in parenthesis:
-1/3*y=-1/3y
-1/3*3=1
-1/3y-1=11
Next add 1 on both sides:
-1/3y-1+1=11+1
-1/3y=12
Now divide -1/3 on both sides:
-1/3y÷-1/3=12÷-1/3
y=-4
I hope this helped you.
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Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) =
Answer:
C
-5n^2-8n+4
Step-by-step explanation:
The value of the expression after adding will be;
⇒ - 5n² - 8n + 4
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The expression is,
⇒ (3n² - 5n + 6) + (- 8n² - 3n - 2)
Now,
Solve the expression as;
⇒ (3n² - 5n + 6) + (- 8n² - 3n - 2)
⇒ 3n² - 5n + 6 - 8n² - 3n - 2
⇒ - 5n² - 8n + 4
Thus, The value of the expression after adding will be;
⇒ - 5n² - 8n + 4
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Elizabeth started a chess club in her school. In the first week she recruited two members for the club. From the second week, each new member recruited in the previous week recruited two new members each. How many members are there in the club after 7 weeks including Elizabeth?
Answer:
i saw my name but i think the anwerser i the third one
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Organisms A and B start out with the same population size. Organism A’s population doubles every day. After five days, the population stops growing and a virus cuts it in half every day for three days. Organism bees population grows at the same rate but it’s not infected with the virus. After eight days how much larger is organism B’s population an organism A’s population?
1: By what factor does organism as population grow in the first five days? Express your answer as an exponential expression
Answer:
1. 252N = ([tex]2^{2}[/tex] x [tex]3^{2}[/tex] x [tex]7^{1}[/tex])N
2. Factor = [tex]2^{5}[/tex]
Step-by-step explanation:
Let the starting population size for organisms A and B be represented by N.
For organism A;
Day 0: N
Day 1: 2N
Day 2: [tex]2^{2}[/tex]N
Day 3: [tex]2^{3}[/tex]N
Day 4: [tex]2^{4}[/tex]N
Day 5: [tex]2^{5}[/tex]N
Day 6: [tex]2^{4}[/tex]N
Day 7: [tex]2^{3}[/tex]N
Day 8: [tex]2^{2}[/tex]N
For organism B;
Day 0: N
Day 1: 2N
Day 2: [tex]2^{2}[/tex]N
Day 3: [tex]2^{3}[/tex]N
Day 4: [tex]2^{4}[/tex]N
Day 5: [tex]2^{5}[/tex]N
Day 6: [tex]2^{6}[/tex]N
Day 7: [tex]2^{7}[/tex]N
Day 8: [tex]2^{8}[/tex]N
1. After the eight days, organism B's population is larger than organism A's population by;
[tex]2^{8}[/tex]N - [tex]2^{2}[/tex]N = 256N - 4N
= 252N
= ([tex]2^{2}[/tex] x [tex]3^{2}[/tex] x [tex]7^{1}[/tex])N
2. Organism A's population grows by [tex]2^{5}[/tex].
Answer:
factor 2^5
Step-by-step explanation:
how do i solve 20= 2a + 3a i dont need the answer, just how to do it
Answer:
Add 2a and 3a
20 = 5a
Divide both sides by 5
a = 4
Step-by-step explanation:
Answer: a=4
Step-by-step explanation: you add 2a and 3a together then you get 20=5a. You would divide 20 by 5 and get a=4.
What is 2 3/4as an improper fraction
1. A light rail travels at a rate of 165 miles per
hour. If the light rail travels for 3 hours, then
how far did it go?
Answer:
495 miles
Step-by-step explanation:
If the light rail goes 165 miles per hour (mph) and if it was to travel for 3 hours you would multiply 165 mph x 3 = 495
Hey there!
[tex]Answer: \boxed{495\text{ miles}}[/tex]
[tex]Explanation:[/tex]
The light rail traveled 165 miles in one hour. The question is asking how many miles would it travel in 3 hours. So the only thing you have to do is multiply 165 miles by 3 hours.
[tex]165*3=495\\[/tex]
So it traveled 495 in 3 hours. So the answer to your question is:
[tex]\boxed{495\text{ miles}}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Solve 6r + 7 = 2r - 9.
Answer:
I think it's 7=-9 but I can't remember what the term is called because I'm a little rusty, sorry. If you want to know tho, I can find my old notes
Step-by-step explanation:
Answer:
Step-by-step explanation:
6r + 7 = 2r - 9
4r + 7 = -9
4r = -16
r = -4
How do I solve 18=6(2x-8)
Answer:
x= 5.5
Step-by-step explanation:
18=12x-48
-12x= -48-18
-12x= -66
x= -66/-12
x= 5.5
Answer:
Okay so first you distribute 6 into the parenthesis that gives you
18=12x-48
Then you add 48 on both sides
66=12x
then you divide
X=5.5
Step-by-step explanation:
Write the equation of the line in slope-intercept form that is perpendicular to y= 2/3x - 3 and passes through the point (6,5)
Answer:
y=2/3×-3 passes point (6,5)
Step-by-step explanation:
=y=4/6×9 12,10
What goes into -27/8
The average (arithmetic mean) of 10, 14, and 3x is 18. What is the value of x?
A) 25
B) 26
C) 27
D) 30
If M is the Midpoint of AB, then solve for x find the unknown measures the given segments.
Answer:
If M is midpoint of AB, then
AM=MB
4x-5= 2x+11
2x=16
x=8
AM= 4x-5
=4(8)-5
=32-5
=27
BM=2x+11
=2(8)+11
=16+11
=27
Hope it helps:-)
Simple interest is given by the formula A = P + Prt. Where A is the balance of the
account after t years, and P is the starting principal invested at an annual percentage rate
of r, expressed as a decimal.
Noah is investing money into a savings account that pays 3% simple interest, and plans
to leave it there for 10 years. Determine what Noah needs to deposit now in order to
have a balance of $20,000 in his savings account after 10 years.
Noah will have to invest $
now in order to have a balance of
$20,000 in his savings account after 10 years. Round your answer to the nearest dollar.
Answer:
$10,679
Step-by-step explanation:
Answer:
$645.20
Step-by-step explanation:
Solve the equation for the variable.
[tex] \frac{1}{4} x - 2 = - 6 + \frac{5}{12} x[/tex]
x = [?]
Type the correct answer in each box. Use numerals instead of words.
Consider this expression.
-4x^2 + 2x – 5(1 + x)
Answer:
the answer is -4x^2-3x-5
