Answer:
The total change in water level over the past 2 years is [tex]\displaystyle -4 \frac{1}{6}[/tex].
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightFractions
Proper and ImproperNumbers
Least Common Multiple (LCM)Step-by-step explanation:
Step 1: Define
Identify
Year 1 water change: [tex]\displaystyle -2 \frac{1}{3}[/tex]
Year 2 water change: [tex]\displaystyle -1 \frac{5}{6}[/tex]
Step 2: Find Total Water Change
[Set up] Add yearly water changes: [tex]\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}[/tex][Fractions] Convert to improper: [tex]\displaystyle \frac{-7}{3} - \frac{11}{6}[/tex][Fraction] Rewrite [LCM]: [tex]\displaystyle \frac{-14}{6} - \frac{11}{6}[/tex][Order of Operations] Subtract: [tex]\displaystyle \frac{-25}{6}[/tex][Fraction] Convert to proper: [tex]\displaystyle -4 \frac{1}{6}[/tex]
A credit union pays interest of 2% per annum on a certain
savings plan. If $1000 is deposited in such a plan and the
interest is left to accumulate, how much is in the account after 1
year?
Answer:
$1020
Step-by-step explanation:
1000 ÷ 100 = 10
10 × 2 = 20
$20 is gained per annum.
The largest frog in the world is the goliath, It can grow to be 12 inches long. The smallest frog in the world is about 2.5% as log as the goliath. About how long is the smallest frog in the world
Answer:
0.3 inches
Step-by-step explanation:
2.5% = 0.025
The smallest frog is 12 * 0.025 inches, which is 0.3 inches.
help me plz im desperate
Answer:
B) y = 2x - 3
Step-by-step explanation:
We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.
For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).
So, that's our answer. If you need more help, let me know! :)
Answer: B
Step-by-step explanation:
The slope is 2 as it shown rise (2) over run (1)
Y-intercept is -3
11. Solve 77 +5 - 92 < 18 + 7. Graph the solution.
I think it must be 87 .
Step-by-step explanation:
Not sure how to explain.
A coordinate plane with a straight line with a positive slope passing through the points, (0, negative 3) and (3, 4). Choose the answer to complete each statement. The slope of the line is . The y-intercept is at . The graph represents the function
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{4+3}{3}\implies \cfrac{7}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{7}{3}}(x-\stackrel{x_1}{0})[/tex]
we can always find the y-intercept by simply setting x = 0, or namely
[tex]y-(-3)=\cfrac{7}{3}(0-0)\implies y+3=\cfrac{7}{3}(0)\implies y+3=0\implies y=-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{y-intercept at}}{(0~~,~-3)}~\hfill[/tex]
Answer:
first one is 7/3
second one is -3
third one is g(x) = 7/3x-3
Step-by-step explanation:
I got it right
What is the amplitude and period of the function shown below?
The features of the sine function in this problem are given as follows:
Amplitude: 2.
Midline: y = -4.
Period: 3 units.
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here, we have,
The equation is given as follows:
y = 2sin(2πx/3) - 4.
we have to define the sine function:
The standard definition of the sine function is given as follows:
y = Asin(B(x - C)) + D.
For which the parameters are given as follows:
A: amplitude.
B: the period is 2π/B.
C: phase shift.
D: vertical shift.
The function has a minimum value of -6 and a maximum value of -2, for a difference of 4, hence the amplitude is given as follows:
2A = 4.
A = 2.
Without vertical shift, a function with amplitude of 2 would oscillate between -2 and 2, while this one oscillates between -6 and -2, hence the vertical shift is given as follows:
D = -4.
The shortest distance between repetitions can be given by 2 - (-1) = 3, hence the period is of 3 units and the coefficient B is given as follows:
2π/B = 3
B = 2π/3.
The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:
y = 2sin(2πx/3) - 4.
More can be learned about trigonometric functions at brainly.com/question/21558626
#SPJ2
a Rose Garden is formed by joining a rectangle and a semicircle the rectangle is 33 ft long and 26 ft wide. If the gardener wants to build a fence around the garden how many feet of fence are required?
find the value of -3/8 x 8/15=
we have -3/8 x 8/15 = -3/8 x 8/ (3x5) = -1/5
ok done. thank to me :>
What is the distance between the two points (4,7) and (4, -2)?
a. 5
12.04
b. 9
d. 12.53
C.
Answer:
9 unitsStep-by-step explanation:
Given two points:
(4, 7) and (4, - 2)The distance between them is the difference of y- coordinates since x- coordinates are same:
7 - (- 2) = 7 + 2 = 9
50 Points! Please only answer if you know! Thank you.
Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.
Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.
A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)
Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
Answer:
See belowStep-by-step explanation:
A) 3x - 9y > 27
x- intercept at y = 0 is:
3x = 27x = 9y-intercept at x = 0 is:
- 9y = 27y = -3Connect the two points (9, 0) and (0, -3) with dotted line (because of <) and shade below line (because y < ).
B) (y-3) ≤ -4/3 (x+7)
Use one point from the equation:
(-7, 3)Find the second point using the slope - 4/3, add 3 to x and - 4 to y:
x = -7 + 3 = - 4y = 3 - 4 = - 1Connect these two points (-7, 3) and (-4, -1) with solid line (because of ≤ ).
Shade the area below the line (because y ≤ ).
What is the algebraic expression for the following word phrase: the product of 7 and the difference of x and y?
Answer:
7(x-y)
Step-by-step explanation:
difference of x and y=x-y
product of 7=7 times the expression
so,
Answer is 7(x-y)
Happy Thanksgiving!!!!
Have a wonderful day
1.79 ÷1.23=
A 1.31
B 1.35
C 1.5
D 1.38
Answer:
1.45528455285
Step-by-step explanation:
Round it up to nearest 10. So it's C
Can someone check my work and show me where I went wrong?
Answer:
the part where it's 25 and 183 should be 5400 if you are rounding to the nearest 10 and then multiplying
Answer:
You made a wrong answer in 183 and 25.
It should be 5,400
Step-by-step explanation:
183 round to the nearest ten = 180
25 round to the nearest ten = 30
180 * 30 = 5,400
4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.
Step-by-step explanation:
n² + n < 2^n
so, let's see what happens, when I increase n by 1
(n+1)² + n + 1 < 2^(n+1) = 2×2^n
n² + 2n + 1 + n + 1 < 2×2^n
n² + 3n + 2 < 2×2^n = 2^n + 2^n
so, we added on the left and on the right side of the inequality sign compared to the original relation :
2n + 2 vs. 2^n
so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.
n² + n + (2n + 2) < 2^n + (2^n)
this inequality will remain true, if
2n + 2 <= 2^n
n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1
and therefore this relation remains true for any larger n.
I NEED HELP !!!! PLZ HELP ME UNDERSTAND THIS
Answer:
Step-by-step explanation:
Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
I’ll choose brainliest
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA (CPCT)
5. In ΔJUN and ΔJEN,
JU = JE (Given)
NE = NU (Given)
JN = JN (Common)
∴ ΔJUN ≅ ΔJEN (By SSS Criteria)
∴ ∠U = ∠E (CPCT)
Hope it helps you....
Please mark as brainlliest
4. SCHOOL LUNCH In 2015, Ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to 2017?
A. –$250 per year
B. $125 per year
C. –$125 per year
D. $250 per year
Find the error(s) and solve the problem correctly. Be sure to explain and show your work. Where did the "wrong answer" come from? sin 52° Answer: sin 52 = .9866
The error of the evaluation comes from the fact that Sin 52° = 0.7880.
According to the question;
we are required to determine what's wrong with the evaluation..By evaluation;
Sin 52° when evaluated by means of a scientific calculator or tables gives; 0.7880.The error can be determined by evaluating; the inverse sine of 0.9866.
Sin-¹ .9866 = 80.6.Read more;
https://brainly.in/question/14817452
how many prime numbers are multiples of 5 please
Answer:
the only number would be 5
Step-by-step explanation:
5 is the first and only prime multiple of 5
There are only ''one'' prime number are multiples of 5.
What is Prime number?
Prime numbers are number that have only two factors, 1 and themselves.
Given that;
The prime numbers multiples of 5.
Now,
The multiples of 5 = 5, 10, 15, 20, 25, ...
But there are only one prime number (that is; 5) which are multiple of 5.
Thus, There are only ''one'' prime number are multiples of 5.
Learn more about the prime number visit:
https://brainly.com/question/145452
#SPJ2
mark is paid $12.45 and hour at his job.he works a shift of 4 hours and 20minutes. how much does john earn for this shift?
Answer:
$53.95
Step-by-step explanation:
[Setting up an equation] 12.45x = y
() x is time worked and y is money made
[Plugging-in time worked] 12.45(4 [tex]\frac{1}{3}[/tex]) = y
[Multiply] 53.95 = y
[Answer] y = $53.95
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
which of the following are perfect cubes 1)3375 2)8000 3)6859
Answer:
all are perfect cubes
Step-by-step explanation:
you can just cube root the numbers and bom if it aint decimal its a perfect cube
The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
Answer:
Step-by-step explanation:
9(4.5) = 40.5 m
Calculate the difference and enter it below. -9-(-10) Answer here
Answer:
-9-(-10)
=-9+10
=1
r^2- 3s^2; r= -2, s=3
2 – 3s^² =
Answer:
-23
-25
Step-by-step explanation:
r² - 3s² → (-2)² - 3(3)² → 4 - 27 → -23
2 - 3s² → 2 - 3(3)² → 2 - 27 → -25
The price of an item has risen to $343 today. Yesterday it was $140. Find the percentage increase.
Answer:
145% increase
Step-by-step explanation:
343 - 140 = 203
203/140 = 1.45
1.45 x 100 = 145
Savanna have 40 iris blooms last year this year she had 50% more iris blooms how many more iris blooms did savanna have this year
Answer:
6
Step-by-step explanation:
On a map, the scale is 1 inch = 40 miles. What is the actual distance for 3.25 inches shown on the map?
Answer:
130 Miles
Step-by-step explanation:
The question is in the picture.
Answer:
[tex]x^{3r-18}[/tex]
Answer:
[tex]x^{3r-18}[/tex]
Step-by-step explanation:
[tex]\frac{1}{x^{18-2r} } x^{r} =\frac{x^{r} }{x^{18-2r} }[/tex]
[tex]=x^{r-(18-2r)} =x^{r-18+2r}[/tex]
[tex]=x^{3r-18}[/tex]
Hope this helps
Simplify 10 over 13
Answer:
10/13
Step-by-step explanation:
It's already simplified luv