According to the given information, the slope of the line is -1.
What is slope ?In mathematics, slope is a measure of how steep a line is, or how much y (vertical) changes for a given x (horizontal) change. It is represented by the letter "m" and is calculated as the change in y divided by the change in x, or rise over run. The slope can be positive, negative, zero, or undefined.
According to given information :The answer is D, -1; the amount of water decreases by 1 gallon per minute.
To find the slope of the line, we need to use the slope formula:
slope = (change in y)/(change in x)
In this case, the change in y represents the change in the amount of water, and the change in x represents the change in time.
Option A says that the slope is 2/3, which means that for every 3 minutes, the amount of water decreases by 2 gallons. This is incorrect because as time increases, the amount of water should decrease, so the slope should be negative.
Option B says that the slope is -2/3, which means that for every 3 minutes, the amount of water decreases by 2 gallons. This is the same as option A but with a negative slope, which is correct because the amount of water decreases over time.
Option C says that the slope is -3/2, which means that for every 2 minutes, the amount of water decreases by 3 gallons. This is incorrect because the amount of water should decrease by the same amount every minute.
Option D says that the slope is -1, which means that for every minute, the amount of water decreases by 1 gallon. This is the correct answer because it describes a constant rate of change in the amount of water over time.
Therefore, according to the given information, the slope of the line is -1.
To know more about slope visit :
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the measures of the angles of a triangle are shown in the figure. solve for x
Answer:
X=57.
Step-by-step explanation:
Every triangle equals 180 degrees. First you add 33 and 90 (the little box in the corner is equal to 90 degrees) which gets you to 123, then subtract from 180 (since every triangle is equal to 180), then you get 57.
help with this please?....:)
Answer:
200. 96 cm^2
Step-by-step explanation:
If the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex] = 3.14,
radius = 8 cm (r = diameter/2 ----> r = 16/2)
= [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]= 3.14 (8^{2})\\= 200. 96 cm^{2}[/tex]
can I please can some help on this question
Answer: The answer be 87 for both answer's
Step-by-step explanation:
because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)
Có bao nhiêu giá trị nguyên của tham số m để phương trình 4^x +4^-x = 2^ (x+1) – 2^(1-x) +4-m có nghiệm trên đoạn [0;1]
Answer:
m = 2
m = 2,75
Step-by-step explanation:
Được-
Phương trình =
4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m
Thay các giá trị của x = 0 vào phương trình đã cho ta được
4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m
1 +1 = 2 -2 + 4-m
m = 4-2 = 2
Thay các giá trị của x = 1 vào phương trình đã cho ta được
4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m
4 + 0,25 = 4 - 1 + 4 -m
m = 7-4,25 = 2,75
Use the picture above to determine why the work below received a 2/3. (hint: there are 2 mistakes)
V = TTr2h
V = TT(32)10
V = TT(6)(10)
V = 60TT square feet
Answer:
3^2 is not 6, it is 9 so that would have made your final answer wrong. It was supposed to be 90 not 60
Betty and Billy are selling cookies at the school bake sale. Billy sold twice as many cookies as Betty. Together, they sold 15 cookies at the bake sale. Could Betty have sold 3 cookies
No Betty would have sold at least 5 cookies.
We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.
It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE
Complete Question:
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?
*The circle is attached below in the attachment
Answer:
BD = 11
Step-by-step explanation:
Given:
AE = x
EC = x + 12
BE = x + 2
ED = x + 5
Required:
Length of BD
Solution:
First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem
x(x + 5) + 2(x + 5) = x(x + 12)
x² + 5x + 2x + 10 = x² + 12x
Add like terms
x² + 7x + 10 = x² + 12x
Subtract x² from each side
x² + 7x + 10 - x² = x² + 12x - x²
7x + 10 = 12x
10 = 12x - 7x
10 = 5x
10/5 = 5x/5
2 = x
x = 2
Next, find BD:
BD = BE + ED
BD = x + 2 + x + 5
Add like terms
BD = 2x + 7
Plug in the value of x
BD = 2(2) + 7
BD = 4 + 7
BD = 11
Answer:
What is BD?
11 units
Step-by-step explanation:
1. Convert the quinary number 42 into binary number.
Answer:
42 in binary number is 101010.
Question in attachment. Will give brainliest if correct.
Answer:
x= 50
Step-by-step explanation:
The angles of a triangle adds up to 180
First we can see R, S, O is equal to S, R, O
We can also see that the angles are equal to N, O, S
So R, S, O and S, R, O are both 65 degrees
Add 65 + 65
= 130
180 - 130 = 50
x= 50
La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:
Answer:
El coseno del ángulo esta dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Step-by-step explanation:
Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Donde:
CA es el cateto adyacenteH es la hipotenusa del triánguloEspero te haya sido de ayuda!
Multiply the polynomials.
(x + 2)(2x2 + 9x+8)
A. 2x3 + 13x2 – 26x+ 16
B. 16x3 + 72x2 + 46x - 16
C. 2x3 + 17x + 22x+16
D. 2x3 + 13x2 + 26x+ 16
Answer:
2x^3 + 13x^2 + 26x + 16
Step-by-step explanation:
x(2x^2 + 9x + 8) +2(2x^2 + 9x + 8)
2x^3 + 9x^2 + 8x + 4x^2 + 18x + 16
2x^3 + 13x^2 + 26x + 16
HOPE IT'S HELPFULđa thức p (x) = 2x ^ 3 - 3x ^ 2 + qx +56 có nhân tử là x-2 a) chứng tỏ q = -30? b) thừa số p (x) hoàn toàn và do đó xác định tất cả các nghiệm của p (x) = 0
Simon and sherry went blueberry simon picked 18.5 pounds and sherry picked 21.84 pounds
Answer:
ok
Step-by-step explanation:
whats the question?
Will your career more important than anything else
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 72 and 5, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 68. Compute the trainee's z-score.
Answer:
-0.8
Step-by-step explanation:
Given that :
Mean of test score, m = 72
Standard deviation of test score, σ = 5
Trainee's score, x = 68
Since the distribution is Symmetric ;
The Zscore Cann be calculated thus :
Zscore = (x - mean) / standard deviation
Zscore = (68 - 72) / 5
Zscore = - 4 / 5
Zscore = - 0.8
What is the slope of a line that is perpendicular to the line y = –1/4 x + 5
Answer:
4
Step-by-step explanation:
To find the slope of a line that is perpendicular to another line simply flip the slope ( so if it is 1/3 flip it to 3 or if it's 3 flip it to 1/3) and change the sign ( so if it's positive change it to negative vise versa )
The equation we are given has a slope of -1/4
So flip the fraction ( we would get -4)
And change the sign ( we would get 4)
So the slope of a line that is perpendicular to y = -1/4x + 5 is 4
Answer:
slope = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{4}[/tex] x + 5 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{4} }[/tex] = 4
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y = 1/5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that represents Angelo's second cut. 10 -10 10 --10 O A. y = -5x-6 B. y = 5x + 6 C. y = 5x + 6 O D. y - 18 x - 6
Answer:
y = 1/5x + 6
Step-by-step explanation:
If the second cut is parallel to the first, it will have the same slope.
So, it will have a slope of 1/5.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
6 = 1/5(0) + b
6 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = 1/5x + 6
So, the equation of the second cut is y = 1/5x + 6
Since I’m nice I’ll give 2 lucky people some points!!!
Answer:
hi
Step-by-step explanation:
thank u
Answer:
is that allowed or not......
Classify the following angles
--Answer--
1. acute
2. right
3. acute
4. obtuse
5. straight
--Explanation--
Acute angle = Greater than 0 °, Less than 90°
Right angle = 90°
Obtuse angle = Greater than 90°, less than 180°
Straight angle = 180°
Answer:
A) Acute B) Right C) Obtuse D) Obtuse E) Flat/Straight
Step-by-step explanation:
Acute angles are angles less than 90°
Right angles are angles that are 90°
Obtuse angles are angles that are over than 90°
Flat/Straight angles are 180°
What is the value of x? Round your answer to the nearest Whole number
X
A 10
C 17
B 1
D 13
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 9² = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → B
How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt
Answer:
600[tex]e^{10*.04}[/tex]
$895.09
Step-by-step explanation:
pls help me..... the question is in the attachment.... thank you
Answer:
I added some attachments as well, I hoped I helped.
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Answer:
for the triangle on top on side is 8 one side is 4 so if we use the theorem
64+16=80
a=9
so
Side a = 19.8242
Side b = 17.66349
Side c = 9
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 63° = 1.09956 rad = 7/20π
Angle ∠C = 27° = 0.47124 rad = 3/20π
Area = 79.48573
Perimeter p = 46.4877
Semiperimeter s = 23.24385
stuck on this its super hard
9. Here are two expressions with a missing number: Expression 1: • Expression 2: + 4 Choose the same number to put in both blanks, so that both expressions would result in an irrational answer. You can choose your number from the following list: 3.2, , , and 0.232323... Explain your reasoning. (4 points: 2 points for the answer and 2 points for the explanation)
what’s the difference between the area of the larger circle and the area of the smaller circle? in pi
Answer:
105 pi m^2
Step-by-step explanation:
radius squared - radius squared =
(16+3)^2 - 16^2 =
19^2 - 16^2 =
361-256= 105
5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?
pls no time help me fast no links ill report u and no brainlist
Answer:
Step-by-step explanation:
Line segment Point Point Distance Proof
AB A(-3 , 4) B(2,4) 5 2 - (-3) = 2 +3 = 5
BC B(2,4) C(5,4) 3 5 - 2 = 3
CD C(5,4) D(5,-1) 5 4 -(-1) = 4 +1 = 5
DE D(5 , -1) E(5,-3) 2 -1 -(-3) = -1 +3 = 2
EF E(5, -3) F(-5,-3) 10 5 - (-5) = 5+5 = 10
The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling. A car travelling at a speed of 70 km/h requires a distance of 40 m to make a stop. What distance is required to stop a car travelling at 80 km/h?
Answer:
52.24 km
Step-by-step explanation:
Given that,
The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.
d = ks²
Where
k is constant
When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?
So,
[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]
So, the new distance is 52.24 km.
9. Is the relation shown in the table a
function?
х
1
4
5
10
y
2
-1
-6
-1
Answer:
obvious answer, no
Step-by-step explanation:
specific and scientific answer:
the first input 1 equals 2, which could mean both +1 or times 2
but when there is input of 4 and an out-put of -1, it starts to not make sense
basically the first input is always going to be your control group for science experiments or the one that stays the same and judges