The independent variable in the study is the temperature of the water
What is the independent variable?The variable that the experimenter consciously modifies or changes is known as the independent variable.
The variable that is supposed to have an impact on the dependent variable is this one. After then, the dependent variable is assessed and recorded to see if it changes as a result of the independent variable's manipulation.
The temperature was changed before each trial hence the temperature was manipulated and that is the independent variable.
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A $350 suit is marked down by 25%. What is the sale price of the suit after the markdown?
Answer:
262.50
Step-by-step explanation:
350 x .25 (25 %)=87.50
350-87.50=262.50
or
350x.75=262.50
AB = x - 10, BC = x + 2, and AC = 28. Find BC.
Please help!
Answer:
BC = 20
Step-by-step explanation:
AC = AB + BC
28 = x-10 + x+2
Combine like terms
28 = 2x -8
Add 8 to each side
28+8 = 2x-8+8
36 = 2x
Divide by 2
36/2 = 2x/2
18 =x
We want to find BC
BC = x+2
=18+2
=20
Answer:
BC = 20
Step-by-step explanation:
Since line segment AC = 28, that means line segment AB and line segment BC must add up to 28:
x - 10 + x + 2 = 28
2x - 8 = 28
2x = 36
x = 18
Now we plug in x into segment BC's equation to find length of BC:
BC = x + 2
BC = 18 + 2
BC = 20
Megan charges %5.00 for each hour, (h), she babysits. Last week, the total amount she earned by babysitting was $65.00.
Which equation could be used to find the number of hours Megan babysat last week?
A) $5.00+h=$65.00
B) 5h=$65.00
C) $65.00-h=$5.00
D) $65.00×$5.00=h
Answer:
B
Step-by-step explanation:
To find how many hours she worked you must divide $65 by $5 and B is the only equation where you can do that.
Find the area of the parallelogram with vertices k(2, 2, 1), l(2, 3, 3), m(6, 9, 3), and n(6, 8, 1).
Let \(\vec K,\vec L,\vec M,\vec N\) be vectors pointing the vertices K, L, M, and N, respectively.
The side KL is parallel to and has the same length as the vector
\(\vec L - \vec K = (2\,\vec\imath + 3\,\vec\jmath + 3\,\vec k) - (2\,\vec\imath+2\,\vec\jmath+\vec k) = \vec\jmath + 2\,\vec k\)
Similarly, the side KN is parallel and as long as
\(\vec N - \vec K = (6\,\vec\imath+8\,\vec\jmath+\vec k) - (2\,\vec\imath+2\,\vec\jmath+\vec k) = 4\,\vec\imath+6\,\vec\jmath\)
These vectors have magnitudes
\(\|\vec L - \vec K\| = \sqrt{0^2 + 1^2 + 2^2} = \sqrt5\)
\(\|\vec N - \vec K\| = \sqrt{4^2 + 6^2 + 0^2} = 2\sqrt{13}\)
and their dot product is
\((\vec L - \vec K) \cdot (\vec N - \vec K) = 0\cdot4 + 1\cdot6+1\cdot0 = 6\)
The parallelogram spanned by the vectors \(\vec L-\vec K\) and \(\vec N-\vec K\) has area equal to the magnitude of their cross product, for which we have the identity
\(\bigg\|(\vec L - \vec K) \times (\vec N - \vec K)\bigg\| = \|\vec L - \vec K\| \|\vec N - \vec K\| \sin(\theta) \\\\ \implies \text{area} = 2\sqrt{65} \, \sin(\theta)\)
where \(\theta\) is the angle between the sides KL and KN.
From the dot product identity, we have
\((\vec L - \vec K) \cdot (\vec N - \vec K) = \|\vec L - \vec K\| \|\vec N - \vec K\| \cos(\theta) \\\\ \implies 6 = 2\sqrt{65} \cos(\theta)\)
Then
\(\cos(\theta) = \dfrac3{\sqrt{65}} \implies \sin(\theta) = \sqrt{1-\cos^2(\theta)} = 2\sqrt{\dfrac{14}{65}} \\\\ \implies \text{area} = 2\sqrt{65} \cdot 2\sqrt{\dfrac{14}{65}} = \boxed{4\sqrt{14}}\)
Factor completely −2x3 6x2. −x(2x2 − 6x) 2x(−x2 3x) −2x2(x − 3) Prime.
To factor completely the expression −2x³ + 6x², we can follow the below steps:Step 1: Take out common factor −2x². -2x²(x − 3)Step 2:
The obtained expression −2x²(x − 3) is already factored completely.
Step 3: The given expression −2x³ + 6x² can be written as −2x²(x − 3) as obtained in
step 1. Thus, −2x³ + 6x² = −2x²(x − 3)The expression −2x³ + 6x² can be factored completely as −2x²(x − 3).
The obtained expression is already factored completely, and therefore the prime factorization of the given expression is −2x²(x − 3). Hence, the answer is: −2x²(x − 3).
This is a complete and comprehensive solution that includes more than 100 words.
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Find the area I will mark the BRAINEST
Answer:
84 or 90 i say 90
Step-by-step explanation:
thses are the closest ones
I'm not sure if I am right and just want to make sure I got the right answer
Answer:
The answer is 9
Step-by-step explanation:
The answer is 9
what is the diffrence between irregular and irrational numbers?
Answer:
Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number. Numbers that cannot be expressed as a ratio of two numbers are termed as an irrational number.
Step-by-step explanation:
please make my answer as brainelist
Which statements are true regarding quadrilateral ABCD? Check all that apply. ABCD has congruent diagonals. ABCD is a rhombus. ABCD is not a rectangle. ABCD is not a parallelogram. ABCD has four congruent angles
Answer:
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD has four congruent angles
Step-by-step explanation:
The following statements would be considered true
1. The quadrilateral ABCD could have the congruent diagonals as the diagonals are perpendicular
2. ABCD would be treated as the rhombus as it is a regular quadrilateral
3. ANd, It Have the four congruent angles that means the four angles be 90 degrees
The other statements would be false.
Answer:
A,B,E
Step-by-step explanation:
Edge 2021
A stadium charges $85 for each seat in section A, $55 for each
seat in section B, and $30 for section C. There are three times
as many seats in section B as in section A. The revenue from
selling all 19,600 seats is $770,000.
a) Write a system to represent the situation.
b) Solve the system from part (a), write your solution in (x, y, z)
form.
Answer:
(x,y,z)=(1400, 4200,14000)
Step-by-step explanation:
x*85+3*x*55+y*30=770.000
x+3x+y=19600
250x+30y=770.000
4x+ y=19600 /*-30
250x +30y= 770 000
-120x -30y= - 588.000
---------------------------------
250x-120x = 182 000
130 x= 182000
x=182000/130
section A x=1400 seats
section B 3x=3*1400=4200 seats
section C y=19600-4*1400=19600-5600=14000 seats
Find a rational and an irrational number between 6 and 6.1
9514 1404 393
Answer:
rational: 6.08irrational: √37 ≈ 6.082762530...Step-by-step explanation:
Any terminating decimal number in the desired range will be rational. 6.08 for example.
Any of the infinite number of non-terminating decimals in that range will be irrational. √37 ≈ 6.08376253029821968899968... is an example.
As it happens, the square root of the non-square integer 37 is in that range, so we have selected it for the irrational number.
Which of the following represents "10 less than n"?
Answer:
n - 10
Step-by-step explanation:
10 is less than n so subtract 10 from n
Carson invested $850 in an account paying an interest rate of 5.7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 6 years?
Answer:
$850×5.7/100=48.45
850+48.45=898.45
898
Answer: 1197
Step-by-step explanation:
help no comprehension
Answer:
x=17
Step-by-step explanation:
So the outside angle is basically is an addition of the two angles given to you. 60°+2x°=94°.
Please help me this due in a couple of hours and yes i do have to do them all and ill give brainly
dont gggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
sorry but your image is not clear can you send a clearer one. thanks
The ratio of boys to girls at King Middle School is 3: 2. What is the ratio of girls to all students?
Answer:
2 : 5Step-by-step explanation:
The ratio of boys to girls is 3: 2:
Number of boys = 3xNumber of girls = 2xTotal number of students:
3x + 2x = 5xThe ratio of girls to all students:
2x : 5x = 2 : 5Total students in ratio =3+2=5
Girls =2Girls: students
2/52:5Please help me please help me please help me
Step-by-step explanation:
solution file attached
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
Add -0.25+ 3 1/6+ 2 1/12. Write in simplest form
Answer: 5
Step-by-step explanation: because
Based on this summary of Sheldon’s credit card statement, complete the following statements.
The amount in the ______ column represents the amount of credit that Sheldon is currently using. If the credit line on Sheldon’s card is $5,000, Sheldon’s current available credit is ______.
Please use the image(s) to help you answer the question. It contains the table which you'll need to answer the question. I even added the answer responses for the blanks.
Answer: The amount in the new balance column represents the amount of credit that Sheldon is currently using. If the credit line on Sheldon's card is $5,000, Sheldon's current available credit is $4,642.18.
Step-by-step explanation:
There are 2 methods of solving this problem.
First method:
So, first before you do this problem, you're going to need this formula:
Available Credit = Credit Line - New Balance
Available Credit = $5,000.00 - $357.82
Subtract that, & you get $4,642.18.
Second Method:
So for the second method I subtracted each of the answers in the 2nd blank by the Credit Line, which in this case it's $5,000.00.
$5,000.00 - $3,477.98 = $1,522.02 (❌)
$5,000.00 - $4,642.18 = $357.82 (✔️)
$5,000.00 - $4,760.50 = $239.50 (❌)
So, the amount in the new balance column represents the amount of credit that Sheldon is currently using. If the credit line on Sheldon's card is $5,000, Sheldon's current available credit is $4,642.18.
Marty graphs the hyperbola (y+2)2/36−(x+5)2/64=1 .
How does he proceed?
Drag a value, phrase, equation, or coordinates in the boxes to correctly complete the statements.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Marty first identifies the center of the hyperbola as Response area, and that the hyperbola opens Response area. Since a = Response area, the coordinates of the vertices are Response area.
The slopes of the asymptotes of this parabola are ± Response area, and the asymptotes pass through the center of the hyperbola. The equations of the asymptotes are Response area.
Once this information is gathered, the asymptotes are graphed as dashed lines, and the hyperbola is drawn through the vertices, approaching the asymptotes.
To construct the graph of the hyperbola, the procedure is as follows:
Marty first identifies the center of the hyperbola as (-5,2), and that the hyperbola opens up and down. Since a = 6, the coordinates of the vertices are (-5, -4) and (-5, 8).The slopes of the asymptotes of this parabola are a = ± 3/4, and the asymptotes pass through the center of the hyperbola. The equations of the asymptotes are y - 2 = ± 3/4(x + 5).Equation of an hyperbolaThe equation of a vertical hyperbola with center (x*, y*) is given according to the following equation:
(y - y*)²/a² - (x - x*)²/b² = 1.
A vertical hyperbola opens up and down.
In this problem, the equation is:
(y + 2)²/36 - (x + 5)²/64 = 1.
Hence the center is:
(-5, 2).
The value of coefficient a is:
a² = 36 -> a = 6.
Then the vertices of the hyperbola are:
(-5, 2 - 6) = (-5,-4).(-5, 2 + 6) = (-5,8).The slopes of the asymptotes of the parabola are given as follows:
±a/b.
Hence:
a/b = 6/8 = 3/4.-a/b = -6/8 = -3/4.Since the asymptotes pass through the center, the equation is:
y - 2 = ± 3/4(x + 5).
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If a negative relation exists between two variables, then low scores on one variable will be associated with _____ scores on the other variable.
If a negative relation exists between two variables, low scores on one variable will be associated with high scores on the other variable.
In a negative relationship between two variables, a decrease in one variable is accompanied by an increase in the other variable. This means that as scores on one variable decrease (i.e., low scores), the scores on the other variable tend to increase (i.e., high scores). The negative relationship implies an inverse pattern where the variables move in opposite directions.
The exact nature and strength of the negative relationship can vary, but the general trend is that low scores on one variable correspond to high scores on the other variable. This negative association provides insights into the behavior and interactions between the variables being examined.
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In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is
approximately normal with a mean of 528 and standard deviation of 117. The University of Michigan has a recommended SAT
math score of at least 730.
What percent of students who took the SAT math test meet this requirement?
Round your answer to 4 decimal places and then convert to a percentage.
Using the normal distribution, it is found that 4.18% of the students who took the SAT math test meet this requirement.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean given by \(\mu\) and standard deviation represented by \(\sigma\) is by the following equation:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.The mean and the standard deviation for the distribution of SAT scores is given as follows:
\(\mu = 528, \sigma = 117\)
The proportion above 730 is given by one subtracted by the p-value of Z when X = 730, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (730 - 528)/117
Z = 1.73
Z = 1.73 has a p-value of 0.9582.
1 - 0.9582 = 0.0418.
Hence 4.18% of the students who took the SAT math test meet this requirement.
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What is the slope of a line that passes through the points shown in this table?
XY
00
13
26
Please enter your answer in the blank provided below (Example answer: 42)
The slope of a line that passes through the points is 3
What is a slopeA slope is defined as the ratio of rise to run of a line. It is expressed according to the formula below;
Slope = rise/run
Slope = y₂-y₁/x₂-x₁
Using the coordinate points (1, 3) and. (2, 6), the slope is expressed as:
Slope = 6-3/2-1
Slope = 3/1
Slope = 3
Hence the slope of a line that passes through the points is 3
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what+is+the+present+value+of+annual+$8,848+payments+over+the+upcoming+5+years+,on+an+interest+rate+of+10%?
The present value of $8,848 annual payments over the next 5 years at an interest rate of 10% is approximately $33540.88.
The present value of an annuity is a measure of its worth today, taking into account the time value of money and the rate of interest. To calculate the present value, each future payment is discounted back to the present day.
In this case, with an interest rate of 10%, each $8,848 payment is worth less in today's dollars the further out it is made. The present value of these payments over the next 5 years would be the sum of the present value of each payment, which is approximately $33540.88.
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Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
Please help me find the value and the kind of angel this is?
Answer: the only line crossed is called a transversal line. x +3 would be vertically opposite to the other angle,and 2x-61 would also be vertically opposite. if you look at alternate and corresponding angles you would find the exact answer. this angle does not have a kind i guess.
hope it helps you!!!
Step-by-step explanation:
can someone help me solve this please?
Answer:
h = 9
Step-by-step explanation:
You can use the Pythagorean theorem to solve this. Consider each half of the main triangle their own triangles.
h = a
a^2 + b^2 = c^2
or
a^2 = c^2 - b^2
a^2 = 10^2 - 5^2
a^2 = 100 - 25
a^2 = 75
a = √75
a = 8.66, or 9
h = 9 (when rounded)
if the angle between the vector a = 3i -4j and the vector b = 2i +byj is 900, what is by?
The value of B from the vector b = 2i + Bj is B = 1.5
What is the product of vectors?
The dot product, or inner product, of two vectors, is the sum of the products of corresponding components. Equivalently, it is the product of their magnitudes, times the cosine of the angle between them . The dot product , also known as the inner product, of u and v to be the number u ⋅ v given by
u ⋅ v = u₁v₁ + u₂v₂ + u₃v₃
An equivalent definition is
u ⋅ v = ∣u∣ ∣v∣ cos θ,
where θ is the angle between u and v
Two nonzero vectors are perpendicular, or orthogonal, if and only if their dot product is equal to zero
Given data ,
Let the first vector be A
The value of A is
A = 3i - 4j
Let the second vector be B
The value of B is
B = 2i + bj
Now , the angle between the two vectors is 90°
So , the two nonzero vectors are perpendicular, or orthogonal, if and only if their dot product is equal to zero
Substituting the values in the equation , we get
A.B = ( 3i - 4j ) . ( 2i + bj ) = 0
On simplifying the equation , we get
3 ( 2 ) - 4 ( b ) = 0
6 - 4b = 0
Adding 4b on both sides of the equation , we get
6 = 4b
Divide by 4 on both sides of the equation , we get
b = 6/4
b = 1.5
Therefore, the value of b is 1.5
Hence , the value of b in the vector 2i + bj is b = 1.5
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I suck at math please do this for me I’ll give you anything
Answer:
Step-by-step explanation:
20: