The initial amount of the water is 15 gallons
Linear functionsThese are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;
y - 12 = -3(x- 1)
y -12 = -3x + 3
y = -3x +3 + 12
y = -3x + 15
In order to determine the initial amount of water, we will substitute x =0 into the function
y = -3(0) + 15
y = 15
Hence the initial amount of the water is 15 gallons
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Answer:
15
Step-by-step explanation:
4= 5√x
What’s the answer to this?
Answer:
16/25 or 0.64
Step-by-step explanation:
First we separate the 5 from 5√x :
4 = 5×√x
Now we divide both sides by 5 :
4/5 = √x
Now we square both sides :
(4/5)² = x
Simplify :
16/25 = x
0.64 = x
Hope this helped and brainliest please
15% of what number is equal to 9
Answer:
9 is 15% of 60.
Step-by-step explanation:
[tex]\text{Formula}=\frac{\text{Number x 100}}{\text{Percent}} =\frac{9 \times100}{15} =60[/tex]
Following shows the steps on how to derive this formula and find out 15% of what number is 9.
Step 1: If 15% of a number is 9, then what is 100% of that number? Setup the equation.
[tex]\frac{9}{15} = \frac{Y}{100}[/tex]%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
[tex]15Y=6\times100\\15Y=600[/tex]
Y = [tex]\frac{600}{100} =60[/tex]
The requried 15% of 60 is equal to 9, as of the given percentage situation.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
To find the number that 15% of is equal to 9, we can set up a proportion:
15% of x = 9
Converting 15% to a decimal:
0.15x = 9
Dividing both sides by 0.15 gives:
x = 60
Therefore, 15% of 60 is equal to 9.
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Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each turn player A targets a pair of points and player B says whether those two points are connected or unconnected. A can target each pair only once and the game ends when all pairs have been targeted. Player B wins iff a point is connected with all other points on the very last turn, while player A wins if any point is connected with all other points on any turn but the very last one OR if no point is connected to all other points after the last turn. For what values of n does either player have a winning strategy?
The values of n that either player has a winning strategy is when the number of points are odd such as 3:-
How to depict the strategy?The game is begun by A and then its chance of B to play the game alternatively, then all the possible moves are 1,2; 2,3; 1,3 in which all possible pairs are selected.
If the game end on an even number of moves then the game is won by A. For B to win, these points should be connected at the very end of the game.
Similarly, for even number of moves B wins the game when number of points is odd.
If the number of points is even the opposite of this happens that is, for even moves B wins and for odd number of moves A wins.
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Two points are:
A. always collinear and always coplanar.
B. always collinear and sometimes coplanar.
C. sometimes collinear and sometimes coplanar.
D. sometimes collinear and never coplanar.
1st Spin
4
5
2nd Spin
What is the probability of
spinning a green, spinning
a purple, and then flipping
a coin that lands on tails?
1
20
2|5
The probability of spinning a green, spinning a purple, and then flipping a coin that lands on tails will be 0.02
How to calculate the probability?From the information given, the probability of spinning a green, spinning a purple, and then flipping a coin that lands on tails will be calculated thus:
= 1/5 × 1/5 × 1/2
= 0.2 × 0.2 × 0.5
= 0.02.
Therefore, the probability is 0.02.
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The box plot below represents some data set. What is the interquartile range (IQR) of the data?
-a-10 = 5a +8 pleasee help me
Answer:
a=-3
Step-by-step explanation:
5a+a=-10-8
6a=-18
a=-18/6
a=-3
Answer:
a = -3
Step-by-step explanation:
This is a linear equation in one variable that has a constant term and a variable term on each side of the equal sign. It can be solved in 3 steps, so can be called a "3-step equation."
The three steps involve separating the variable and constant terms, then dividing by the variable's coefficient.
__
-a -10 = 5a +8 . . . . . . given
step 1To separate the variable and constant terms, we eliminate one of the variable terms by adding its opposite to both sides of the equation. It is generally convenient to choose the variable term with the lowest coefficient value. When we add the opposite of that to both sides of the equation, the resulting variable term will have a positive coefficient. (Dealing with positive numbers generally reduces errors.)
Here the two variable terms are -a and 5a. The coefficient -1 is less than the coefficient 5, so we choose to add the opposite of -a to both sides.
-a +a -10 = 5a +a +8 . . . . . add a to both sides
-10 = 6a +8 . . . . . . . . . . . simplify
step 2Now there is only one variable term, but it has a constant added to it. We can eliminate that constant by adding its opposite.
-10 -8 = 6a +8 -8 . . . . . add -8 to both sides
-18 = 6a . . . . . . . . . . . simplify
step 3This equation gives us the value of a multiple of the variable (6a). To get the variable by itself, we multiply by the reciprocal of the variable's coefficient. The product of the coefficient and its reciprocal is 1, so we will have the variable alone.
Multiplying by 1/6 is the same as dividing by 6. Often, it is easier to think in terms of division. However, when the coefficient is a fraction, it can be useful to think in terms of multiplying by the reciprocal of that fraction.
(1/6)(-18) = (1/6)(6a) . . . . . . multiply by 1/6
-3 = a . . . . . . . . . . . . . . . simplify
The solution to the equation is a = -3.
_____
Additional comment
When we say "add" or "multiply" the equation by some number, we mean that operation to be performed on both sides of the equation. The properties of equality say we can do whatever we like to an equation, as long as we do the same thing to both sides of the equation.
Which of the following best describes the graph shown below?
A. This is not the graph of a function.
B. This is the graph of a one-to-one function.
C. This is the graph of a function, but it is not one-to-one.
D. This is the graph of a linear function.
Answer: the answer is C
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to describe the graph shown in the attached picture.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Please see below! ^^
Is the graph a function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.
[tex]\underline{\rule{50}{1}}[/tex]
Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.
One down, three to go! ^^
Is the graph a one-to-one function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph
[tex]\underline{\rule{50}{1}}[/tex]
Since a horizontal line touches the graph more than once, this function is not one-to-one.
Option B. isn't right either.
Two down, two to go! ^^
However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.
So I choose Option C.
Let's ensure our answer is correct by checking the last option:
Is the graph a linear function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.
[tex]\underline{\rule{50}{1}}[/tex]
As we can see, the given graph is not a staight line; thus, Option D. is also wrong.
Thus, Option C. is the correct answer.
Hope it helps you out! :)
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
Someone help please
The bus will be early, on time, or late. these are the only three outcomes, so the probability that the bus will be late is 1/3.
what is wrong with sasha's argument?
Answer:
Sasha has used the theoretical probability which assumes that all the possibilities have an equal chance of occurring but in reality, the chances of each probability happening are not going to be equally split with the chances of the bus being on time being slightly higher than being early or late. This is called the experimental probability where you actually test out the probability of the bus being on time, early or late which is much more accurate than the general, theoretical probability.
-5+(-3).I know the answer is -8 but how because a negative plus a negative is a positive.
Answer:
“two negatives = positive” rule works for multiplication and division.
Step-by-step explanation:
-5 + (-3) example
imagine a number line with 0 in the center. From (0) You move left 5 places to (-5) on the number line. Now you move another 3 more to the left (-3) and land on (-8).
You are combining the negatives. I hope this helps.
What is 1.7⎯⎯ expressed as a fraction in simplest form?
Answer:
17/10 or 1 7/10
Step-by-step explanation:
Step 1: Write down the number as a fraction of one:
1.7 = 1.7/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
1.7/1
= (1.7 × 10)/ (1 × 10)
= 17/10
(This fraction is alread reduced, We can't reduce it any further).
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 17/
10 is also equal to 1 7/10 when expressed as a mixed number.
Question 1 of 10
A triangle has two sides of lengths 5 and 12. What value could the length of
the third side be? Check all that apply.
A. 5
B. 19
C. 17
D. 7
E. 11
F. 9
Write 4x²(4x² + 4x³) in standard form.
Answer:
[tex]16x^{5} + 16x^{4}[/tex]
If the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of \overline{AB} AB is: Part A The X portion of the midpoint is __________________. Part B The Y portion of the midpoint is _________________.
Step-by-step explanation:
it is very simple :
the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.
the x coordinate of the midpoint is
(0 + 10)/2 = 10/2 = 5
the y coordinate of the midpoint is
(-2 + -6)/2 = -8/2 = -4
If sin Q = 4/5, cos P + cos Q
The value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know that:
P + Q are complementary, which means that
P+Q = 90°
Then R is a right angle, i.e. it measures 90°.
sin(90-x) = cos (x)
cos(90-x) = sin (x)
Then sinQ = 4/5
cos(90-Q) = cosP = 4/5
Now sin²(P) + cos²(P) = 1
sin²(P) = 1 - cos²(P)
sin²(P) = 1 -[4/5]² =9/25
sin(P) = 3/5
cos(Q) = sin(P) = 3/5
cos(P) + cos(Q) = 4/5 + 3/5 = 7/5
Thus, the value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
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What is the area of the shape
The area of the shape is 180 square feet if the length of the diagonals are 20 and 18 ft respectively, option (a) is correct.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.
We know the area of the kite = pq/2
Where p and q are the length of the diagonals
p = 10+10 = 20 ft
q = 7+11 = 18 ft
Area = (20×18)/2
Area = 180 square feet
Thus, the area of the shape is 180 square feet if the length of the diagonals are 20 and 18 ft respectively option (a) is correct.
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please help ‼️‼️
What is the measure of m?
m = [?]
Give your answer in simplest form.
Answer:
m = 10
Step-by-step explanation:
Find 'n' first..... then pythag theorem for 'm'....
n is to 5 as 15 is to n
n/5 = 15/n
n^2 = 75 n = sqrt (75)
Then m^2 = n^2 + 5^2
m^2 = 75 + 25 s-o-o-o-o: m = 10
3x+2y=39
5x-y=13
What is the solution to the system of equations
Answer:
I assume ur asking for x and y
Step-by-step explanation:
[tex]3x + 2y = 39 \: \: \: \: \: 1 \ \\ \ 5x - y = 13 \: \: \: \: \: \: \: \: 2 \\ y = 5x - 13 \: \: \: \: \: \: \: \: 3 \\ 3 > 1 \\ 3x+ 2(5x - 13) = 39 \\ 3x + 10x - 26 = 39 \\ 13x = 39 + 26 \: \: \: \: \: \: ( \div 13) \\ x = 5 \\ x = 5 > 3 \\ y = 5(5) - 13 \\ y = 12[/tex]
Answer:
(5, 12 )
Step-by-step explanation:
3x + 2y = 39 → (1)
5x - y = 13 → (2)
multiplying (2) by 2 and adding to (1) will eliminate y
10x - 2y = 26 → (3)
add (1) and (3) term by term to eliminate y
13x + 0 = 65
13x = 65 ( divide both sides by 13 )
x = 5
substitute x = 5 into either of the 2 equations and solve for y
substituting into (1)
3(5) + 2y = 39
15 + 2y = 39 ( subtract 15 from both sides )
2y = 24 ( divide both sides by 2 )
y = 12
solution is (5, 12 )
Translate the shape A four squares right and two squares up.
What are the coordinates of the vertices of the image?
If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-3, 6), (-3, 3) and (-1, 3)
Translation of coordinatesTranslation is a way of changing the position of an object on the xy plane
Given the coordinates of the vertices (1, 4), (1, 1), (3,1)
If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-3, 6), (-3, 3) and (-1, 3)
Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.
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Please help me with this
Answer:
Point C
Step-by-step explanation:
Answer: Point C
Step-by-step explanation: I hope this helped! :D
factored form of x^2+12x+36
URGENT PLEASE HELP!!
petrus takes a bus to school. The bus travels at an average speed of 40km/h. The school is 9km from his house. How many minutes does he take to get to school?
Answer:
13.5
Step-by-step explanation:
speed = distance/time
let the time be x
40 = 9/x
so, x = 9/40
to convert it into minutes,
(9/40)*60 = x
(9*60)/40 = x
540/40 =x
54/4 = x
27/2 = x
13.5 = x
hope this helps :)
Answer:
27/2 is the answer
8x+2 ≥74 or 6-6x ≥30
Solve
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
≥
9
Interval Notation:
[
9
,
∞
)
Step-by-step explanation:
Guys, can you please help me complete 3 remaining statements about The Quadratic Relations for me, please? :)
Answer:
To graph [tex]y=ax^2[/tex], you stretch or compress the graph of [tex]y=x^2[/tex] vertically by a factor of a. If [tex]a < 0[/tex], the parabola is also reflected in the x-axis.
To graph [tex]y=ax^2[/tex], you stretch or compress the graph of [tex]y=x^2[/tex] vertically by a factor of a. If [tex]a > 1[/tex] or [tex]a < -1[/tex], the graph is stretched vertically by a factor of a.
To graph [tex]y=(x-h)^2[/tex], you translate the graph of [tex]y=x^2[/tex] horizontally h units. If [tex]h < 0[/tex], the graph is translated h units to the left.
#39
y=x²Then
y=-ax² as a is negativeThe parabola is reflected about x axis
#40
a>1 or a<-1
Theis should be vertically streched by factor a
*41
horizontal translation=hunits
So the graph is shifted h units left
the questions:
What is the median value of each data set?
Compare the median values of the data sets by stating which one is greater and what their difference is.
What does this comparison tel, you in terms of the situation the data represent?
What is the range in battery life for Y?
If Mary bought 12 of the Brand X, how many of them lasted more than 14 hours.
Answer:
I'd rather ask G.oogle
Step-by-step explanation:
btw brainliest me
What is the length of EF? (Giving 45 points, please hurry!)
Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!
WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD
Answer + Step-by-step explanation:
GRASS method is an acronym for Given, Required, Analysis, Solution, and Statement.
Given:
Charles has $50.00 (total)Charles spent 1 / 4 on a gift card (spent means subtract from total)Charles spent 5 / 8 on a new wallet (spent means subtract from total)Required:
The question asks: “How much money is leftover?” From this we know we have to find the leftover amount. Find: x = ?Analysis:
50 (total) = x + 1/4 + 5/8 than solve for x
how much money leftover (x)
= total - spent on gif card - spent on new wallet
x = 50 - 1 / 4 - 5 / 8
Solution:
x = 50 - 1/4 - 5/8
1/4 of 50 is 50 / 4 = 12.5x = 50 - 12.5 - 5/8
5/8 of 50 is 50/8 = 6.25 this is 1/8 of the pricethan multiply by 5 to get 5/8, 6.25 x 5 = 31.25x = 50 - 12.5 - 31.25
x = 6.25
Statement:
We found that the leftover amount is $6.25.
Therefore, the leftover amount of money with a starting amount of $50.00 and purchasing a gift card and new wallet is in fact $6.25.
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
An equation is formed of two equal expressions. The equation of the perpendicular bisector is y=(1/3)x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of the line that passes through (2, 4), (3, 1), and (4,-2), are,
m = (4-1)/(2-3) = 3/-1 = -3
Since the product of the slope of two perpendicular lines is -1. The slope of the perpendicular line is,
m₁m₂ = -1
(-3) m₂ = -1
m₂ = 1/3
Since the line is the perpendicular bisector it will pass through midpoint,
1 = (1/3)(3) + C
1 = 1 + C
C = 0
Hence, the equation of the perpendicular bisector is y=(1/3)x.
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click on the picture. I really need help and would appreciated.
Answer:
the value of x is 12 and the measure of angle MNQ is 23