Answer: 34.78 gallon
Step-by-step explanation:
Exponential equation for decay:
[tex]A=P(1-r)^t[/tex] , where p = initial amount, r= rate of decay , t= taime
As per given,
r= 8% = 0.08
For days 1 , i.e. at t= 0 , P= 32 gallons
[tex]1=32(1-0.08)^t\\\\\Rightarrow\ \dfrac{1}{32}=(1-0.08)^t \\\\\Rightarrow\ \ln \left(\frac{1}{32}\right)=t\log (0.92)\\\\\Rightarrow\ t=-\frac{5\ln \left(2\right)}{\ln \left(0.92\right)}=41.5\approx42[/tex]
Total water = [tex]\dfrac{a(1-r^n)}{1-r}=\dfrac{32(1-0.08^{42})}{1-0.08}=34.782[/tex]
hence, the the total number of gallons of water that leaked from the tank = 34.78 gallon approx.
HELP ANSWER ASAP!!
The solution set for -18 < 5x - 3 is ____.
a) 3 > x
b) -3 > x
c) 3 < x
d) -3
Answer:
I really don't know the answer but it might be c because that makes the most sense out of all of them
Graph y=0 as ordered pairs.
Answer:
It would just be a straight line going across the x-axis because the value of y is 0
Step-by-step explanation:
Simplify the expression.
9(4+t) - 7(t + 3)
9(4 +t) - 7(t + 3) =
Answer:
−63t2−439t−741
Step-by-step explanation:
Let's simplify step-by-step.
9(4+t)−7(t+3)(9)(4+t)−7(t+3)
Distribute:
=(9)(4)+(9)(t)+−63t2+−441t+−756+(−7)(t)+(−7)(3)
=36+9t+−63t2+−441t+−756+−7t+−21
Combine Like Terms:
=36+9t+−63t2+−441t+−756+−7t+−21
=(−63t2)+(9t+−441t+−7t)+(36+−756+−21)
=−63t2+−439t+−741
Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?
Answer:
Jack has saved $245.
Step-by-step explanation:
You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!
Hope this has helped you! :)
Happy Halloween!~
Find the solution set for 9x2 = 144?
ANSWER PLEASE
BRAINLY AND 74 points
Answer:12
Step-by-step explanation:
please help i'm in the test first to answer will get BRAINLEST!
Translate (-5,4) to the right 2 units Then reflect the result over the y-axis What are the coordinates of the final point
Answer: 3,4
Step-by-step explanation:
I NEED HELP ANSWERING THIS MULT-STEP EQUATION
ASAP!!!
-2(x-3)-3=31
Answer: x = -14
Hope this helps
Answer:
x=-14
Step-by-step explanation:
Follow Pemdas and solve for x
-2(x-3)-3=31, distribute negative 2
-2x+6-3=31, Combine Like Terms(CLT)
-2x+3=31, subtract 3 from both sides to isolate x variable
-2x=28, divide by -2 to isolate x
x=-14
Help pleaseeeeeeeeee
Reflecting across the y axis followed by rhe x atation 180 degrees clockwise
Rotation 180 counterclowise
Plz answer fast I really need this
Answer:
can u cmt the question
Step-by-step explanation:
because i cant see the picture
Answer: 0.4 * 0.25 3rd one
Step-by-step explanation:
Subtract the expression :
- 5x + 3x - 24
Plzz ....answer....plzzz
Answer:
-2x-24
Step-by-step explanation:
-5x+3x-24 = - 2x-24
Answer:
-2x-24 hope dis helped
Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even numbers are in the set of integers 3. The set of natural numbers belongs to the set of integers, which belongs to the set of rational numbers, which belongs to the set of real numbers 4. Every negative integer J is less than or equal to its inverse
Answer:
1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻
Step-by-step explanation:
1. Let b be the number and B be the set, so mathematically, it is written as
b ∈ B.
2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write
∀ a ∈ N; 2a ∈ Z
3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.
Since each set is a subset of the latter set, we write
N ⊂ Z ⊂ Q ⊂ R .
4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write
J ≤ J⁻¹ : J ∈ Z⁻
solve the right triangle
round your answer to the nearest tenth.
Answer:
Use SOH-CAH-TOA method and figure out which sign you need. SOH- Sin, CAH- Cos, TOA- Tan.
Also,
SOH- opposite/hypotenuse
CAH- adjacent/hypotenuse
TOA- opposite/adjacent
Look at the angle and see which terms you have already. For example, if you had opposite the angle and the adjacent side, you would choose tangent because its TOA. Hope that helps!
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Triangle QRS has vertices at Q(3,6), R(2, 3), and S(3,-2). If the triangle is dilated by a scale factor of į, what will be the coordinates of
R'?
Answer:
C
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of the point by the scale factor, that is
R(- 2, 3 ) → R'([tex]\frac{1}{3}[/tex](- 2), [tex]\frac{1}{3}[/tex](3) ) → R'( - [tex]\frac{2}{3}[/tex], 1 ) → C
I need help, giving brainliest.
Answer:
1) C
Step-by-step explanation:
I don't think any of the answer choice below no. 2 is correct
no.2) -22/-31
Which of the following statements best describes the location of −(−5) on a number line?
It is 5 units to the left of 0.
It is 5 units to the right of 5.
It is 5 units to the left of 5.
It is 5 units to the right of 0.
Answer:
24 million
Step-by-step explanation:
thank me later
Can someone help with this?
Answer:
x<_2
Step-by-step explanation:
Its the second answer choice.
3x<_6
Divide 3 by both sides and you get the answer.
Answer:
x≤18
Step-by-step explanation:
it's either x≤2 or x≤18 since it says a number less than or equal to
Which number line represents all of the values of x for the equation x2 = 36?
Answer:
x is 18
Step-by-step explanation:
x is 18 because 18 x 2 = 36
Answer:
-6 and 6 are values of x on number line
Step-by-step explanation:
i took the test :)
Can someone help me please?
Answer:
Instead of shane just taking all the exponents and counting them one by one, she could have added all the exponents because that's what you're supposed to do when multiplying exponents.
this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2
Answer:
have you found the answer I need it to
Compare solving inequalities to equations ?
Answer:
Solving Inequalities is very similar to solving Equations.
If you multiply or divide one side of an equation or inequality by the same number, you have to multiply or divide the other side of the equation or inequality by the same number.
The difference between solving equations and solving inequalities is: If you multiply or divide an inequality by a negative number, then the inequality reverses.
The comparison between inequalities and equation written down below.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.
To solve the inequality,
you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
To solve an equation,
Remove parentheses and combine like terms to simplify each side of the equation. To isolate the variable term on one side of the equation, use addition or subtraction. To find the variable, use multiplication or division.
Hence, the process of solving equations and inequalities.
To learn more about the inequality in mathematics;
brainly.com/question/28823603?
#SPJ2
how many times larger 1 kilogram than 1 gram
Answer:
1000
Step-by-step explanation:
1000/1=1000
I need to type more for some reason
3, Find the total price of a a video game that costs $60.00 with a 7% tax-
Enter the number only. Round to the nearest cent.
How can you find the area of a shape with fractional or decimal side lengths?
Answer:
You convert the fractions to a decimal, nut the rest is still the same
Step-by-step explanation:
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6
Answer:
A!
Step-by-step explanation:
Edge 2021 :)
The solution to the system of equations is a=2, b=-2 and c=0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are
2a+b+c=2 ...(1)
-a+b-C=-4 ...(2)
a-2b+2c= 6 ...(3)
Isolate a for 2a+b+c=2
a=2-b-c/2
substitute a in equation 2 and 3
-2+b+c/2 -b-c=-4
2-b-c/2-2b+2c=6
(3b-c-2)/2=-4
5b+3c+2/2=6
Isolate b for (3b-c-2)/2=-4
b=c-6/3
By simplification we get a=2, b=-2 and c=0
Hence, the solution to the system of equations is a=2, b=-2 and c=0
To learn more on Equation:
https://brainly.com/question/10413253
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Please reply quickly and explain if you can thanks
Answer:
36
Step-by-step explanation:
k(6)= (6)²
Five take away three times two
( Bodmas)
Answer:
4
Step-by-step explanation:
5 - 3=2x2=4
Answers here or on your
own paper
Description:
Equation:
Jada and Noah counted the number of steps
they took to walk a set distance. To walk the
same distance, Jada took 8 steps while Noah
took 10 steps. Then they found that when
Noah took 15 steps, Jada took 12 steps.
Let a represent the number of steps
Jada takes and let y represent the
5
number of steps Noah takes.y =
a. Create a table that C. How can you see or
represents this calculate the constant of
situation with at proportionality in each
least 3 pairs of representation? What
values.
does it mean?
b. Graph this d. Explain how you can tell
relationship and
that the equation,
label the axes. description, graph, and
table all represent the
same situation.
V Illustrative
Mathematics
Unit 3 • Lesson 3. Activity 2
Kendall Hunt
eaker notes
Answer/Step-by-step explanation:
Given:
When Jada took 8 steps, Noah took 10 steps
When Jada took 12 steps, Noah took 15 steps
a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:
From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.
Use this ratio to create a table of 3 pairs of values as shown below.
Jada's Steps (x) ===> Noah's steps (y)
4 ===> 5
8 ==> 10
12 ==> 15
b. The graph of that shows this relationship has been attached below. Check the attachment.
c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.
Thus,
Constant of proportionality (k) = 15/12 = ⁵/4
This means, for every 5 steps taken by Noah, Jada takes 4 steps.
This relationship is represented by the equation, y = ⁵/4x.
The ⁵/4 in the equation is the constant of proportionality of their relationship.
d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.
In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.
In the table, the constant of change in each pair is ⁵/4 all through.
I need help please and thank you
Answer:
F=3x+2/2x
Step-by-step explanation:
