Answer:
The answer to this is 26
Step-by-step explanation:
38+(-12)=26
Answer:
26
Step-by-step explanation:
experiments on learning in animals sometimes measure how long it takes for mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 36 randomly selected lab mice takes with noise as stimulus. Her sample data yielded a mean of 16. 5 seconds and a standard deviation of 6. 4 seconds
This indicates that the mean of the sample (16.5 seconds) is statistically significantly lower than the mean of the population (18 seconds). Therefore, the researcher can conclude that the noise does cause the mice to complete the maze faster.
Using a two-tailed t-test with a significance level of 0.05, the researcher can conclude that the noise does cause the mice to complete the maze faster. The test statistic for this experiment is -2.097, which is less than the critical value of -1.68. This indicates that the mean of the sample (16.5 seconds) is statistically significantly lower than the mean of the population (18 seconds). Therefore, the researcher can conclude that the noise does cause the mice to complete the maze faster.
the complete question is :
experiments on learning in animals sometimes measure how long it takes for mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 36 randomly selected lab mice takes with noise as stimulus. Her sample data yielded a mean of 16. 5 seconds and a standard deviation of 6. 4 seconds. what can you conclude from the sample data ?
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using the clausius‐clapeyron equation determine what variables related to the measured values would be graphed on the x and y axes, along with what m and b would represent.
In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.
Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.
The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.
The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.
By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.
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A couple plans to have three children. There are eight possible arrangements of girls and boys. For example, GGB means the first two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely.
Write down all eight arrangements of the sexes of three children
Based on the eight arrangements, what is the probability of any one of these arrangements?
Answer:
GGB
GGG
GBB
GBG
BGG
BGB
BBG
BBB
Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%
Step-by-step explanation:
GGB
GGG
GBB
GBG
BGG
BGB
BBG
BBB
Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%
Lisa is seven times as old as her brother. She will be four times as old as her brother in three years. Represent the above situation in mathematical form.
Answer:
Let B = the brothers age now
Let L = Lisa's age now
Then today:
L = 7B
And three years from now, Lisa's current age plus 3 equals 4 times the brothers age plus 3 represented by the following formula
L+3 = 4(B+3)
Now we can substitute the value of L in the first formula for L in the second formula
7B + 3 = 4(B+3)
So the answer is C
Step-by-step explanation:
Bob owns a hardware store he sells hammers for 15$ on Saturday he sold 36 hammers how much money did he collect for hammers that day
Given:
Bob owns a hardware store he sells hammers for 15$
On Saturday he sold 36 hammers.
The total cost of the hammers =
\(15*36=540\)So, the answer will be $540
A cube with 2.0-cm sides is made of material with a bulk modulus of 4.7 x 10^5 N/m^2. When it is subjected to a pressure of 2.0 x 10^5 Pa is the length of its any of its sides is
The answer is 2.6825 cm, which is not one of the given options. Therefore, the correct answer is E. none of these.
What is the bulk modulus?The bulk modulus, B is defined as:
B = (P / ΔV / V), where P is the pressure applied, ΔV is the change in volume, and V is the original volume.
For a cube, the change in volume, ΔV is related to the change in length, ΔL by:
\(\sf \Delta V = \Delta L^3\).
Given that the cube has 2.0 cm sides, the original volume, V is:
\(\sf V = (2.0 \ cm)^3 = 8.0 \ cm^3\).
The pressure applied is \(\sf P = 2.0 \times 10^5\) Pa and the bulk modulus is \(\sf B = 4.7 \times 10^5 \ N/m^2\).
We can rearrange the bulk modulus formula to solve for ΔL as:
\(\sf \Delta L = \huge \text(\dfrac{P}{B} \huge \text) \times \dfrac{V}{3}\).
Substituting the values, we get:
\(\sf \Delta L = (2.0 \times 10^5 \ \dfrac{Pa}{4.7} \times 10^5\ N/m^2) \times \dfrac{8.0 \ cm^3}{3} = 0.6825 \ cm\)
Therefore, the final length of any side of the cube is:
\(\sf L = 2.0 \ cm + \Delta L = 2.0 \ cm + 0.6825 \ cm = 2.6825 \ cm\)
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Complete Question:
A cube with 2.0-cm sides is made of material with a bulk modulus of4.7 × 10^5 N/m2. When it is subjected to a pressure of 2.0 × 10^5 Pa the length of its any of its sides is:
A. 0.85 cm
B. 1.15 cm
C. 1.66 cm
D. 2.0 cm
E. none of these
Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8
Answer:
-9x + x = 17 – 1
8x = 16
X = 16/8
X=2
Which pair of points are 4 units apart?
A.
(1, 4) and (8, 4)
B.
(6, -1) and (6, 3)
C.
(-3, 0), (7, 0)
D.
(-2, 2), (6, 10)
Answer:
B
Step-by-step explanation:
-1+4=3
A new building in the shape of a square pyramid is to be constructed. The slant height will be five times the side length of the base. There will be between 20,000 square feet and 50,000 square feet of construction material used for the outside of the building. What would be the maximum possible side length of the base of the building? Round your answer to the nearest foot.
A.
89 feet
B.
141 feet
C.
71 feet
D.
45 feet
The maximum possible side length of the base of the building is; C: 71 feet.
How to determine the maximum side length of a Pyramid?The given parameters of the new building in the shape of a square pyramid that is to be constructed are as follows:
Base is expressed as b
Slant height (l) is expressed as 5b
The lateral surface area of the square pyramid is calculated from the formula given as;
LSA = 2bl
Thus, the lateral surface area is expressed as;
L = 2 * b * 5b
L = 10b²
The total surface area is calculated using the formula:
T = L + b²
Thus, plugging in the value of 10b² for L gives the total surface area as;
T = 10b² + b²
T = 11b²
The maximum surface area is 50,000 square feet and so we can find b from the following expression;
11b² = 50000
Divide both sides of the equation by 11 to get;
b² = 50000/11
b = √(50000/11)
b = 71 feet to the nearest foot.
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Question 1 Linearize f(x)= ³√x+1 when x=7
The linear approximation of f(x) = ³√(x+1) at x = 7 is given by y = (1/12)(x - 7) + 2.
To linearize the function f(x) = ³√(x+1) at x = 7, we can use a technique called linear approximation. The linear approximation of a function at a given point involves finding the equation of the tangent line to the graph of the function at that point.
First, let's find the derivative of f(x) = ³√(x+1). We can use the chain rule to differentiate this function:
f'(x) = (1/3)(x+1)^(-2/3)
Next, we evaluate f'(7) to find the slope of the tangent line at x = 7:
f'(7) = (1/3)(7+1)^(-2/3)
= (1/3)(8)^(-2/3)
= 1/12
Now, we have the slope of the tangent line, which is 1/12. Using the point-slope form of a line, we can write the equation of the tangent line:
y - f(7) = f'(7)(x - 7)
To find f(7), substitute x = 7 into the original function:
f(7) = ³√(7+1)
= ³√8
= 2
Substituting f(7) = 2 and f'(7) = 1/12 into the equation of the tangent line, we get:
y - 2 = (1/12)(x - 7)
Rearranging the equation, we can linearize f(x) at x = 7:
y = (1/12)(x - 7) + 2
Therefore, the linear approximation of f(x) = ³√(x+1) at x = 7 is given by y = (1/12)(x - 7) + 2.
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Sarah has 8 cups of canned tuna for making tuna salad sandwiches. She uses 1/2 of a cup of canned tuna in each sandwich. what is greatest number of sandwiches she can make using 8 cups of canned tuna?
A. 1/8 B.2 C.1/16 D.16 please let me know thank you for your help!
The greatest number of sandwiches she can make using 8 cups of canned tuna is D...16 sandwiches.
Find the slope of the line passing through the given points
Answer:
slope = 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 1, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m = \(\frac{2-(-4)}{2-(-1)}\) = \(\frac{2+4}{2+1}\) = \(\frac{6}{3}\) = 2
-Name The Slope
-Name The Starting Value
-How many blocks would be in figure 100
A line's slope is a measurement of how steep a line is. Slope is calculated by dividing the change in y values by the change in x values.
In math, what is a slope?A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
Slope is a measure of the steepness of a line.
Slope = rise / run = Δy / Δx.
Slope= Δx /Δy = 4−0 /2−5 = 4 / −3
Slope from two points, for instance
We are informed that there are two possible solutions to a particular linear equation:
Solution: x = 11.4, y = 11.5, x = 11.4, y = 11.5, space, space, space, y = 11.
Answer: x=12.7 y=15.4 x=12.7 y=15.4
Slope=
Δx / Δy = 12.7−11.4 /15.4−11.5
= 1.3 /3.9
= 13 /39
=3.
The line has a 333 slope.
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the margin of error for a sample taken from 150 households is _____________.
The margin of error for a sample taken from 150 households, with a 95% level of confidence and assuming a standard deviation of 0.5, is approximately 0.080 or 8.0%
How to find the margin of error for a sample taken from 150 households?To determine the margin of error for a sample taken from 150 households, we need to know the sample size and the level of confidence we want to have in our estimate.
Assuming a 95% level of confidence and a standard deviation of 0.5 (which is a conservative estimate when the population size is much larger than the sample size), the margin of error can be calculated using the following formula:
Margin of error = Z * (σ / √n)
where Z is the Z-score for the desired level of confidence, σ is the standard deviation of the population (or an estimate of it), and n is the sample size.
For a 95% level of confidence, the Z-score is 1.96. Assuming a standard deviation of 0.5, we can calculate the margin of error as:
Margin of error = 1.96 * (0.5 / √150) = 0.080
Therefore, the margin of error for a sample taken from 150 households, with a 95% level of confidence and assuming a standard deviation of 0.5, is approximately 0.080 or 8.0%. This means that the estimate obtained from the sample is likely to be within 8.0% of the true population parameter with 95% confidence.
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Which of the following tables represents a function?
X 66
77
y 2 -2 3-3
x 2-2 3-3
y 55
77
x 3 -3 3-3
y 6 7
89
X 4 4 5 5
y 1 2 3 4
Answer:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain, or x value, can only be matched with one y value, so given this, the third one is the answer since every domain is only matched with one range, or in other words, there are no repeating domains in on the x row of the table.
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can have many to one but a function can not have one to many.
So,
From the table,
x 2 -2 4 -4
y 8 8 12 12
This is a many-to-one function.
All the other tables are one-to-many functions.
Thus,
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
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Let the C.P. be Rs x. If a shopkeeper makes 12% loss by selling a watch for Rs 484, find C.P.
Answer:
To find the cost price (C.P.) of the watch, we need to use the following formula:
C.P. = Selling Price / (1 - Loss Percentage)
In this case, we know that the Selling Price is Rs 484 and the Loss Percentage is 12%. To use this formula, we first need to convert the Loss Percentage to a decimal:
12% = 0.12
Now we can plug in the values into the formula:
C.P. = 484 / (1 - 0.12)
Solving for C.P., we get:
C.P. = 484 / 0.88
C.P. = Rs 550
Therefore, the cost price (C.P.) of the watch is Rs 550.
A basketball player scored 8 points in the 1st quarter 5 points during 2nd quarter 2 points in the 3rd quarter and 20 in the 4th quarter
Answer: 25
Step-by-step explanation: He scored 25 in the game
Help me please!
w-7(w-7)
Answer:
-6w+49
Step-by-step explanation:
w-7(w-7) <-- Distribute the -7
w-7w+49 <-- Combine like terms
-6w+49
What is the difference between an equation with no solution and an equation with a infinitely many solutions?
Please give an example in your response.
PLEASE HELP, ILL CASHAPP YOU $20 no cap
Answer:
No solution would mean that there isn't an answer to the equation. it would be impossible for the equation to be true. Infinite/many solutions means that any value for the variable would make the equation true.
Example:
No solution:
0 = 0, x = x
2x + 4y= 8
x + 2y = 4
Many solutions:
2 = 5
3x + 2y = 5
6x + 4y = 8
solve the inequality and graph the solution on the line provided.
7x-8 ≤ -15
we need to solve the inequality 7x - 8 ≤ -15 and graph the solution on the number line.
To solve the inequality, we start by isolating the variable x. We add 8 to both sides of the inequality, which gives us 7x ≤ -7. Then, we divide both sides by 7 to obtain x ≤ -1.
The solution to the inequality is x ≤ -1. On the number line, we represent this solution by shading all values to the left of and including -1. This indicates that any value of x that is less than or equal to -1 satisfies the inequality.
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Let thetaθ be an angle in standard position. Name the quadrant in which thetaθ lies. tangent theta greater than 0 comma secant theta greater than 0tanθ > 0, secθ > 0 The angle thetaθ lies in which quadrant?
Let thetaθ be an angle in the standard position. We can conclude that the angle theta lies in the first quadrant because both tangent theta and secant theta are positive.
If tangent theta is greater than 0 and secant theta is also greater than 0, then we know that the angle theta is located in either the first quadrant or the third quadrant.
To determine which quadrant the angle lies in, we need to consider the signs of sine and cosine as well. Since tangent is positive and secant is positive, we know that sine and cosine are either both positive or both negative.
In the first quadrant, all trigonometric functions are positive. So if sine and cosine are both positive, then the angle theta must lie in the first quadrant.
In the third quadrant, only tangent and cotangent are positive. So if sine and cosine are both negative, then the angle theta must lie in the third quadrant.
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the area of the rectangle shown is 66m^2
width = 4 2/5
length = x
work out the missing length x
Answer:
143cm
Step-by-step explanation:
Area=2(l+b)
Substitute the values for the variables.
66=2(l+22/5)
66=2xl+2x22
5
66=2l+44
5
Cross multiply
66x5=2l+44
330=2l+44
Collect like terms
-2l = 44-330
-2l = -286
-2l = -286
-2 -2
l=143
The missing length is 143m.
Find the slope of the line that passes through (1, 2) and (10, 10).
$1 less than three times the price
Answer:
???????
Step-by-step explanation:
Answer: 3x - 1
Step-by-step explanation:
let x = the price
3x would be three times the price
now minus one dollar would get:
3x - 1
find the side of the square whose perimeter 20 m
9.) List three things vertical and horizontal lines have in common.
Answer:
Horizontal lines have a slope of zero, and run parallel to the x axis. Vertical lines have a undefined slope, and run parallel to the y axis. The equation for a horizontal line equals y=c, and the equation for a vertical line equals x=c. If a horizontal line crosses a vertical line the two lines would be perpendicular to one another.
Step-by-step explanation:
Use this:
What is a Horizontal Line?A Horizontal Line is a line that goes straight from left to right (or right to left) parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.
What is a Vertical Line?A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.
Commonality:129 students went on a field trip. Five buses
were filled and 9 students traveled in cars.
How many students were in each bus
Answer: 24 students
Step-by-step explanation:
We know that there were 129 students total. However, of those 129 students, 9 traveled in cars, which means that only 120 students took the bus. We know there were five buses, so if the students filled the buses up equally, we can divide the number of bus riders by the number of buses to find the number of students per bus.
With 120 students and 5 buses, we get 120 ÷ 5 = 24.
The dwarf seahorse swims at a rate of 52.68 feet per hour. What is this speed in inches per minute?
Answer:
It should be around 10.536
Step-by-step explanation:
For this one, I'm pretty sure you divide the speed value by 5
If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is
The most the salon would be willing to pay that groomer is $25×4 = $100.
What is unitary method?The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.
Some key features regarding the unitary method are-
It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.To know more about the unitary method, here
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HELP PLS ILL GIVE 20 POINTS!
Answer:
hope this helps
Step-by-step explanation:
6.1 represent the lbs that a child gains every x years
10 represents the starting weight of a newborn