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.
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help asap ---------------------------
Answer:
"D"
the start point is below zero and is doing deeper
Step-by-step explanation:
The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
approximation for the number of students who scored 79 or better?
Answer:
the number of student that took the test is missing
I think it is 100?
79 is 1 sigms (1 standard deviation) above the mean....
1 sd is 84% ... 16% are above the 79
multiply the students that took the test by .16
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 159. i just took the test and got it right
A piece of ribbon is cut into two pieces in the ratio 3:7. The length of the shorter piece is 45cm. Calculate the length in cm of the longer piece of ribbon.
Answer:
105 cm
Step-by-step explanation:
3/7 = 45/x
cross-multiply:
3x = 315
x = 105
9. Select all expressions that are
equivalent to 18a – 12.
2(9a - 6)
6(3a – 2)
-3(6a + 4)
3(6a + 4)
0 (
— 3(4 – 6а)
Answer:
Step-by-step explanation:
2(9a - 6) = 2*9a - 2*6 = 18a - 12
Yes, it is equivalent.
6*(3a-2) = 6*3a - 6*2 = 18a - 12
Yes, it is equivalent.
-3(6a+4)= -3*6a + 4*(-3) = -18a - 12
No, not equivalent
3(6a+4) = 3*6a + 3*4 = 18a + 12
No, not equivalent
-3(4-6a) = -3*4 - 6a*(-3 ) = -12 + 18a = 18a - 12
Yes, it is equivalent.
Answer:
2(9a - 6), 6(3a – 2) and -3(4 – 6а)Step-by-step explanation:
2(9a - 6) = 2 × 9a + 2 × (-6)
= 18a - 12
6(3a - 2) = 6 × 3a + 6 × (-2)
= 18a - 12
- 3( 4 - 6a ) = - 3 × 4 + (-3) × (- 6a)
= - 12 + 18a = 18a - 12
please help me with my question
Answer:
14.3%
Step-by-step explanation:
subtract 320 with 280 which is 40. divide 40 with 280 and multiply that will 100. You get 14.3%
Answer:
14.28 %
Step-by-step explanation:
cost price of an umbrella = 280
selling price of an umbrella = 320
profit% = SP - CP / CP *100%
=320 - 280/280 * 100
=40/280 * 100
=4000/280
=14.28
Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answer:
hope this will help you more
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]
Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 in. If her cuts are normally distributed, what percentage of her squares would be between 4.9 and 5.1 in?
Answer:
[tex]\approx 68\%[/tex]
Step-by-step explanation:
For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].
*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.
Answer:
68.26%Step-by-step explanation:
Given:
Mean μ = 5 inStandard deviation σ = 0.1 inThe squares between 4.9 and 5.1 represent:
x = 5 ± 0.1Relevant z- scores are:
z = (x - μ)/σz = (5.1 - 5)/0.1 = 1z = (4.9 - 5)/0.1 = -1From the z-score table we get:
z = 1 ⇒ 84.13% markz = -1 ⇒ 15.87% markThe data between these points is:
84.13% - 15.87% = 68.26%ΔCAP ∼ ΔHIT. Solve for y, given that b = 19. (Round your answer to 1 decimal place, if necessary.)
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:
[tex]CA \to HI[/tex]
[tex]AP \to IT[/tex]
[tex]PC \to TH[/tex]
Take for instance:
[tex]CA = y[/tex] [tex]HI = b[/tex]
[tex]AP = 20[/tex] [tex]IT = 38[/tex]
Then the solution is:
[tex]CA : HI = AP : IT[/tex]
Substitute values for CA, HI, AP and IT
[tex]y : b= 20 : 38[/tex]
Express as fraction
[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]
Multiply both sides by b
[tex]y= \frac{20 }{ 38}*b[/tex]
Substitute 19 for b
[tex]y= \frac{20 }{ 38}*19[/tex]
[tex]y= \frac{20 }{ 2}[/tex]
[tex]y=10[/tex]
set up an equation and solve for x! 25 points!
Answer:
7
Step-by-step explanation:
70+16x-2
68+16x=180
16x=180-112
x=112/16
x=7
Answer:
x = 7
Step-by-step explanation:
70 + 16x - 2 = 180 degree (being co interior angle)
68 + 16x = 180
16x = 180 - 68
16x = 112
x = 112/16
x = 7
Area of the base=
A) 8 pie square units
B) 16 pie square units
C) 64 pie square units
Answer:
16 pi
Step-by-step explanation:
The base is the circle
A = pi r^2
A = pi (4)^2
A = 16 pi
Answer: 16[tex]\pi[/tex] square units
Step-by-step explanation:
This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is [tex]\pi r^2[/tex]. The radius in the image is 4. Now we can solve
[tex]\pi 4^2\\\pi 16\\16\pi[/tex]
..
What is the answer to this question?
Simplify fully
(x²+3)² - (x²-1)²
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand factors using FOIL
= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1
= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 8x² + 8
Anyone know the answer to this ??
Answer:
18 i think sorry if i am wrong
Step-by-step explanation:
what's the explicit formula for 5,10,15,20,25,30
Answer:
[tex]a_{n}[/tex] = 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
[tex]a_{n}[/tex] = 5 + 5(n - 1) = 5 + 5n - 5 = 5n
The density of a certain material is such that it weighs 4 kilograms per cubic foot of
volume. Express this density in ounces per cubic meter. Round your answer to the
nearest whole number.
Answer:
Step-by-step explanation:
4986 ounces/m³
Step-by-step explanation:
1 kilogram = 35.274 ounces
1 cubic foot = 0.0283 cubic metre
We are converting kg/ft³ to ounces/m³
Hence:
4kg/ft³ × 35.274 ounces/ 1 kg × 1 ft³/0.0283m³
= 4985.7243816 ounces/m³
Approximately to the nearest whole number = 4986 ounces/m³
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The density of the material is approximately 123 ounces per cubic meter.
Density [tex](\(D\))[/tex] is defined as mass [tex](\(m\))[/tex] per unit volume [tex](\(V\))[/tex], and it is calculated using the formula:
[tex]\[ D = \frac{m}{V} \][/tex]
In this case, the density is given in kilograms per cubic foot. To convert this to ounces per cubic meter, we need to perform the following steps:
Step 1: Convert kilograms to ounces:
1 kilogram = 35.27396 ounces
Step 2: Convert cubic feet to cubic meters:
1 cubic foot = 0.0283168 cubic meters
Now, let's substitute the given values and perform the conversion:[tex]\[ \text{Density in ounces per cubic meter} = \frac{4 \, \text{kg} \times 35.27396 \, \text{ounces/kg}}{1 \, \text{cubic foot} \times 0.0283168 \, \text{cubic meters/cubic foot}} \][/tex]
Solving this equation gives us the density in ounces per cubic meter:
[tex]\[ \text{Density} \approx 123 \, \text{ounces/m}^3 \][/tex]
Rounded to the nearest whole number, the density of the material is approximately 123 ounces per cubic meter.
In summary, we converted the given density from kilograms per cubic foot to ounces per cubic meter using unit conversions.
This involved converting the mass units and volume units before performing the calculation to obtain the final density value in the desired units.
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Find the mean, median and mode(s) of the data.
4, 6, 5, 4, 4, 5, 4,8
Mean
Median
Mode
Answer:
mean = 5
median = 4.5
mode = 4
Step-by-step explanation:
Mean :
n = 8
sum of all items = 4+6+5+4+4+5+4+8
= 10+9+9+12
= 19+ 21
= 40
so,
mean = sum of all items/ n
= 40/8
= 5
mean = 5
Median:
ascending order: 4,4,4,4,5,5,6,8
n = 8
md = (n+1)/2 the term
= (8+1)/2 th term
= 9/2 th term
= 4.5 th term
= (4th + 5th) / 2
= (4+5)/2
= 9/2
= 4.5
median = 4.5
x. f.
4. 4
5. 2
6. 1
8. 1
here the highest frequency is 4 and 4 is corresponding to 4
so, mode = 4
Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?
Answer:
$1020
Step-by-step explanation:
660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).
Jay has a car worth $36,001. It is depreciating at a rate of 16% per year. How much will
it be worth in 3 years?
Answer:
$18,720.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Depreciation Formula: A = P(1 - rt)
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 36001
r = 16% = 0.16
t = 3
Step 2: Find Cost
Substitute in variables [Depreciation Formula]: A = 36001(1 - 0.16 · 3)(Parenthesis) Multiply: A = 36001(1 - 0.48)(Parenthesis) Subtract: A = 36001(0.52)Multiply: A = 18720.5Lydia's school is holding a candy fundraiser. They are selling lollipops for $0.50 and candy bars for $1.50 Lydia buys 6 lollipops and some candy bars. If she spends $15.00 in total, how many candy bars, b, did Lydia buy?
Answer:
8
Step-by-step explanation:
Let's say that the amount of lollipops Lydia buys is represented by x and the number of candy bars is represented by y. For each x, Lydia spends 0.50, and for each y, Lydia spends 1.50. This means that the total amount she spends can be represented by the equation 0.50*x+1.50*y. Our equation is then 0.50*x+1.50*y=15
Using our equation, we can plug 6 in for x, resulting in 0.50*6+1.50*y=15, so [tex]0.50x+1.50y=15\\0.5(6)+1.50y=15\\3+1.50y=15\\1.50y=12\\y=8[/tex]
In this set of equations, we plugged 6 in, multiplied it out, then subtracted 3 from both sides, and finally divided both sides by 1.50 to get 8 as our answer.
What is the area? Bit confused on this one.
Answer:
x² + 8x + 12
Step-by-step explanation:
see
the length of the entire rectangle = x + 6
breadth of the entire rectangle = x + 2
area of a rectangle = length × breadth
= (x + 6)(x + 2)
= x² + 8x + 12
which is the required polynomial in standard form
Answer:
x^2 + 8x + 12
Step-by-step explanation:
length = x+6
breadth = x+2
ara of rectangle = l*b
=(x+6)(x+2)
=x(x+2) +6(x+2)
=x^2 + 2x + 6x +12
=x^2 + 8x +12
Does anyone know the answer to this question ?
Answer:
12/25 = 48/100 = .48 = 48%
Step-by-step explanation:
Write an equation for the line that passes through E(4, -3) and is parallel to the line
0 = 5x - 7y - 27 Write the equation in general form.
Answer:
make y the subject first
Step-by-step explanation:
y=5/7(x) -27/7
parallel lines have equal gradient m1=m2
y-y1=m(x-x1)
y-(-3)=5/7(x-4))
y=5/7(x) -20/7 -3
final answer
y=5/7(x) -41/7
what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?
Answer:
- 30
Step-by-step explanation:
3x + 2y - 5xy
3(2) - 2(3) - 5((2)(3))
6 - 6 - 30
6 - 6 - 30
- 30
Given that 3(x-1)-2(x-1)=7, then the value of x is MI 6 7 (A) (B) (C) (D) 8 9
Answer:
x = 8
Step-by-step explanation:
Given
3(x - 1) - 2(x - 1) = 7 ← distribute both parenthesis on left side
3x - 3 - 2x + 2 = 7 , simplifying
x - 1 = 7 ( add 1 to both sides )
x = 8
The variable 100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0
Answer:
second option is correct
Someone help me on this Problem !!
Answer:
[tex] \frac{1}{2} [/tex]Negative1 divided by 1 = 12 divided by 4 = 2#Correct me if I'm wrong#Hope it's HelpEvaluate expressions- if A=4 and B=9 what is the value of the following expression
20/a+7•b
A.28
B.33
C.68
D.108
Answer:
68
Step-by-step explanation:
just put the value of a and b in the expression and you will get the answer
20/a+7.b is
20/4+7×9
5+63
68
Answer:
C. 68
Step-by-step explanation:
Fill in your values.
20/ 4 + 7 x 9
Solve using PEMDAS.
5 + 7 x 9
5 + 63
68
Shem will select a letter at random from the word “PROBABILITY”. Japhet will select a letter at random from the word “STATISTICS”. Who is more likely to pick the letter “I”?
Answer:
The answer to this situation would be that Japhet will be most likely to pick the letter “I.”
Step-by-step explanation:
First, calculate how many letters each word has:
P R O B A B I L I T Y - 11 Letters
S T A T I S T I C S - 10 Letters
Next, calculate how many “I”'s each letter has:
"Probability" has two “I”'s.
"Statistics" has two “I”'s.
Finally, divide the amount of “I”'s in the word by it's letter count:
"PROBABILITY" - 2 “I”'s / 11 Letters ≈ 18%
"STATISTICS" - 2 “I”'s / 10 Letters = 20%
So, Japhet would have the better probability to choose the letter “I.”
Hope this helps!
if the probability that it will rain tomorrow is 1/5
what is the probability that it will not rain tomorrow?
Answer:
If the probability is that it WILL rain 1/5. Then the remaining chances are the number it will not rain. The denominator tells us that there are at total of 5 chances. That leaves a 4/5 chance it will not rain.
Step-by-step explanation:
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
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