Answer:
A. Yes, the relationship is proportional
B. No, the slope is -3
C. Yes, the slope is negative
D. No, the y intercept is 0
E. Yes, the equation is y=-3x.
Answer
The answer is A C and E
Step-by-step explanation:
Cual es el resultado de (3/4)²
Answer:
Step-by-step explanation:
1. (3/4)^2 = 3/4 * 3/4
2. numerator * numerator so 3 * 3 = 9
3. denominator * denominator so 4 * 4 = 16
Hence, the answer is 9/16
Step-by-step explanation:
(3/4)² = 3²/4² = 9/16
(a×b×c×d×...×z)² = a²×b²×c²×d²×...×z²
independent variable was contact plates placed on the tile for less than 5 seconds. the standardized variables were the length of time plates were on the tiles. the control was the inoculating floor tiles for five days in chicken broth. the dependent variable was the plates placed on the tile for more than 5 seconds.
Their experimental design was Independent variable was contact plates placed on the tile for less than 5 seconds. Option D is the correct answer.
The independent variable is the factor that is being manipulated by the experimenter. In this case, the experimenter is manipulating the length of time the plates are on the tiles. The dependent variable is the factor that is being measured by the experimenter. In this case, the experimenter is measuring the amount of bacteria on the plates.
The control is a group of subjects that are not exposed to the independent variable. In this case, the control group is the floor tiles that have been inoculated with chicken broth. The control group is used to compare the results of the experimental group, which is the group of plates that have been dropped on the tiles.
The standardized variables are the factors that are kept the same for both the experimental group and the control group. In this case, the standardized variables are the type of food, the surface of the tiles, and the temperature of the room. These factors are kept the same so that the only difference between the two groups is the length of time the plates are on the tiles.
This experimental design is a well-controlled experiment because the experimenter has taken steps to ensure that the only difference between the two groups is the length of time the plates are on the tiles. This will allow the experimenter to make accurate conclusions about the effect of the independent variable on the dependent variable. Option D is the correct answer.
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The following question may be like this:
The Myth busters conducted an experiment to test the five second rule. Which of the following represented their experimental design?
The standardized variables were the length of time plates were on the tiles. The control was the inoculating floor tiles for five days in chicken broth. The dependent variable was the plates placed on the tile for more than 5 seconds. Independent variable was contact plates placed on the tile for less than 5 seconds.Solve for w.6+17w= -15+14w Simplify your answer as much as possible
Given:
\(6+17w=-15+14w\)To solve the expression, follow the steps below.
Step 01: Subtract 14w from both sides.
\(\begin{gathered} 6+17w-14w=-15+14w-14w \\ 6+3w=-15 \end{gathered}\)Step 02: Subtract 6 from both sides.
\(\begin{gathered} 6+3w-6=-15-6 \\ 3w=-21 \end{gathered}\)Step 03: Divide both sides by 3.
\(\begin{gathered} \frac{3w}{3}=\frac{-21}{3} \\ w=-7 \end{gathered}\)Answer: w = -7.
London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie watched. Plan B costs $38 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if London watches xx per month, and let BB represent the monthly cost of Plan B if London watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if London plans on watching 26 movies each month
Answer:
Plan A is $3 cheaper can Plan B.
Step-by-step explanation:
first equation: 1.5t+9
second equation: .50t+38
Then substiute the 26 for x. So you get 48 for Plan A and 51 for Plan B. Then subtract so you can get 3, for Plan A is three dollars cheaper than Plan B.
What is the slope of this line?
A. 2/3
B. 1/3
C. - 2/3
D. -1/3
Name the slope and one point or
y-1=2(x+3)
Q
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=_
m=
Answer: M=2
y-intercept = (0,7)
x-intercept = (-7/2,0)
Step-by-step explanation:
The slope is already given in the equation, which is 2
M=2
y-intercept = (0,7)
x-intercept = (-7/2,0)
What is a saturated vapor pressure of ethanol
(C2H5OH) at 28°C if its boiling point is 78°C
and ΔHvap is 38.6 kJ/mol?
A.9atm
B.0.111atm
C.0.909atm
D.1.11atm
The given temperature of ethanol is 28 °C, and its boiling point is 78 °C. Thus, the temperature given is less than its boiling point, which means that the ethanol is in the liquid state, not in the gaseous state. The answer is option B. 0.111atm.
This means that the vapor pressure is the saturated vapor pressure of ethanol at 28 °C. The Clausius-Clapeyron equation is used to calculate the saturated vapor pressure. The equation is given as:
log P2/P1 = ΔHvap/R × (1/T1 - 1/T2)
where ΔHvap is the heat of vaporization, R is the gas constant, T1 is the boiling point of the liquid, T2 is the temperature for which the saturated vapor pressure is to be calculated, P1 is the vapor pressure at T1, and P2 is the vapor pressure at T2.The values are given as follows:
ΔHvap = 38.6 kJ/molR
= 8.314 J/mol.
KT1 = 78 °C + 273.15
= 351.15 K (boiling point of ethanol)
T2 = 28 °C + 273.15
= 301.15 K (temperature given)
P1 = atmospheric pressure (because the boiling point of ethanol is above the atmospheric pressure)P2 = ?log P2/atm atmospheric pressure/atm = 0.111atmapproximately.So, the answer is option B. 0.111atm.
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6x-3+1 when x=-3 and y= 2
9. Instructions: Find the missing side of the triangle.
4.1. A computer cost R8500. You have to pay a deposit of 20% to buy it on hire purchase. How much is the deposit in rands?
Answer:
1700
Step-by-step explanation:
20/100 x 8500
why isn't counting on by 1 the fastest way to add 20+27 on a number line
Counting on by 1 on a number line is not the fastest method to add 20+27 because directly adding the numbers together yields a quicker result.
What is the Fastest Way to Add Figures on a Number Line?Counting on by 1 on a number line to add 20+27 may not be the fastest method because it involves a larger number of individual steps.
Instead, an efficient approach would be to directly add the two numbers together, recognizing that 20+27 equals 47. This method bypasses the need for incremental counting and allows for a quicker calculation.
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k(x) = x + 1; Find k(−7)
Answer:
k=-6
Step-by-step explanation:
This means k=-7+1 = -6
prove the identity. sinh(2x) = 2 sinh(x) cosh(x)
To prove the identity sinh(2x) = 2 sinh(x) cosh(x), we can use the definitions of sinh(x) and cosh(x) and apply trigonometric identities for exponential functions.
We start with the left-hand side of the identity, sinh(2x). Using the definition of the hyperbolic sine function, sinh(x) = (e^x - e^(-x))/2, we can substitute 2x for x in this expression, giving us sinh(2x) = (e^(2x) - e^(-2x))/2.
Next, we focus on the right-hand side of the identity, 2 sinh(x) cosh(x). Again using the definitions of sinh(x) and cosh(x), we have 2 sinh(x) cosh(x) = 2((e^x - e^(-x))/2)((e^x + e^(-x))/2).
Expanding this expression, we get 2 sinh(x) cosh(x) = (e^x - e^(-x))(e^x + e^(-x))/2.
By simplifying the right-hand side, we have (e^x * e^x - e^x * e^(-x) - e^(-x) * e^x + e^(-x) * e^(-x))/2.
This simplifies further to (e^(2x) - 1 + e^(-2x))/2, which is equal to the expression we derived for the left-hand side.
Hence, we have proved the identity sinh(2x) = 2 sinh(x) cosh(x) by showing that the left-hand side is equal to the right-hand side through the manipulation of the exponential functions.
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Let F(x) = integral from 0 to x sin(3t^2) dt. Find the MacLaurin polynomial of degree 7 for F(x)
Answer:
\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)
Step-by-step explanation:
Recall the MacLaurin series for sin(x)
\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)
Substitute 3t²
\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)
Use FTC Part 1 to find degree 7 for F(x)
\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)
Hopefully you remember to integrate each term and see how you get the solution!
Could someone please help? Thanks
what do you want help with?
A city's population is currently 500,000. If the population doubles every 10 years, what will the population be 40 years from now
Answer:
8,000,000
Step-by-step explanation:
Since it doubles every ten years you will do 500000*2*2*2*2
4 cards are drawn from a pack without replacement. What is the probability of getting all 4 from different suits?
The probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.
There are 4 suits in a standard deck of cards, and there are 13 cards in each suit. There are C(52,4) ways to choose 4 cards from a deck of 52 cards.
To calculate the probability of getting 4 cards from different suits, we can break it down into steps:
Choose 1 card from any suit (there are 52 possible cards to choose from).
Choose the next card from one of the 39 remaining cards of a different suit (there are 39 cards remaining after taking out the 13 cards from the first suit).
Choose the third card from one of the 26 remaining cards of a different suit (there are 26 cards remaining after taking out the 13 cards from the first and second suits).
Choose the fourth card from one of the 13 remaining cards of a different suit (there are 13 cards remaining after taking out the 13 cards from the first, second, and third suits).
The probability of getting all 4 cards from different suits can be calculated as:
P = (52/52) x (39/51) x (26/50) x (13/49) = 0.267
Therefore, the probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.
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does anybody know this ???
Answer:
(a) angle ACB is not proper way
Answer:
A.
Step-by-step explanation:
We can read the angle with the labels found in answers B, C and D.
is this a parallelogram?
Answer:
No
Step-by-step explanation:
A parallelogram has opposite angels equal and opposite sides equal. in this case, only a single pair of angels are equal.
Mark Went to the store and purchase nine pairs of socks and three packages of undershirts for $8.28 each he also purchase a pair of pants for $32 he spent a total of $77.99 how much did he pay for each pair of socks write an equation using the variable S
Answer:
He paid $2.35 for each pair of socks.
An equation using the variable S is
$77.99 = 9S + (3 × $8.28) + $32
Step-by-step explanation:
Let S be the cost of a pair of socks
From the question, Mark purchase nine pairs of socks, that is, the total cost of the pairs of socks is 9S
He purchase three packages of undershirts for $8.28 each; the total cost of the three packages of shirt will be 3 × $8.28 = $24.84
and he also purchase a pair of pants for $32
Since he spent a total of $77.99, we can write that
$77.99 = 9S + (3 × $8.28) + $32
Now, we can determine S, the cost of a pair of socks
$77.99 = 9S + (3 × $8.28) + $32
$77.99 = 9S + $24.84 + $32
$77.99 = 9S + $56.84
9S = $77.99 - $56.84
9S = $21.15
S = $21.15/9
S = $2.35
Hence, he paid $2.35 for each pair of socks.
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Answer:
x = 2
Step-by-step explanation:
Firstly, calculate the area of the rectangle with the formula:
Length x width = area
(x+6) * 3 = 3x + 18
The formula for the area of a triangle is:
\(\frac{1}{2} * b * h\)
We can plug the known variables into the equation and get:
\(\frac{1}{2} * 8 * (x+4)\)
4 * (x + 4)
4(x + 4)
4x + 16
As the two areas are the same:
4x + 16 = 3x + 18
Subtract 3x from both sides of the equation:
4x + 16 - 3x = 3x + 18 - 3x
x + 16 = 18
Subtract 16 from both sides of the equation:
x + 16 - 16 = 18 - 16
x = 2
Hope this helps!
perimeter describe in your own words
Answer:
adding up all the sides
Step-by-step explanation:
Answer:
I LIKE BAKED BEANS (ToT)
Step-by-step explanation:
Identify the type of pattern. Then find the next three numbers in the pattern.
13, 5, 1, 1, 5
Answer:
I believe the next numbers would be 13, 29, 61 and it would be a Cube pattern
Step-by-step explanation:
The product of 8 and the variable b
Answer:
The closest I can get is 8b
Step-by-step explanation:
Since we don't know what b is, you have to have 8b
Four cards are drawn at random without
replacement from a standard deck of 52 cards
Find P(4 diamonds).
answer this please i hate math
If f(x) = 3x³ + 5x² - 4, then what is the remainder when f(x) is divided by
x-1?
Can someone help? Im brand new to Sigma notation.
Find the sum of the five angles at the vertices of the five-star. Do not assume that the star is regular
The sum of the five angles at the vertices of the five-star is 1440 degrees.
To find the sum of the angles at the vertices of the five-star, we first need to determine the measure of each angle.
Since the five-star is not assumed to be regular, the angles will not be equal. However, we can use the fact that the sum of the angles in any polygon with n sides is (n-2)×180 degrees.
The five-star has 10 sides, so the sum of the angles at its vertices is:
(10-2)×180 = 1440 degrees
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The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds. Use the constraints of the real-world situation to predict the height of the water balloon at 15 seconds. Use complete sentences to support your answer.
The linear model is represented as
A. An increasing lines goes up from left to right. This is shown from 0 to 2
B. A horizontal line would show the height remaining the same. This is shown from 2 to 3
C. The steeper the line the faster the decrease. This is shown from 3 to 4
D. The height of the balloon at 10 seconds would be O as it hits the zero mark at 6 seconds and the arrow continues along the O line.
What is Linear Model ?
A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.
Part A the balloons height is increasing when the line is going up
It is increasing between 0 and 2
0 ≤ t ≤ 2
Part B the balloons height remains the same when the line is flat
It is constant between 2 and 3
2 ≤ t ≤ 3
Part C the balloons height is decreasing when the line is going down
It is decreasing the fastest when the line is going down the quickly and that is between 3 and 4. The slope is (80-20)/(4-3)= 60/160. The larger the slope, the faster the height decreases.
3 ≤ t ≤ 4
Part D At 10 second the balloon will be on the ground. At 6 second the height is zero and remains at 0.
The linear model is represented as
A. An increasing lines goes up from left to right. This is shown from 0 to 2
B. A horizontal line would show the height remaining the same. This is shown from 2 to 3
C. The steeper the line the faster the decrease. This is shown from 3 to 4
D. The height of the balloon at 10 seconds would be O as it hits the zero mark at 6 seconds and the arrow continues along the O line.
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