Answer: FE is 7 and RS is 6.
Step-by-step explanation:
13 - 6 = 7
11-5= 6
Answer:
FE = 7
RS = 6
Step-by-step explanation:
for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.
13 - 6 = 7
You can do the same thing for the second problem.
11 - 5 = 6
hope it helps!
Julie paid $28 for an item after a 20% discount. What was the original price?
Answer:
33.60
Step-by-step explanation:
Multiply 28 by 20%
28*20%=5.6
Add 5.6 and 28 together
28+5.6=33.60
Sorry if it is wrong Im still really tired
How do I solve this problem?
Answer:
Step-by-step explanation:
The first 2 pieces of this function agree at pi/4, so we will set them equal to each other and sub in pi/4 for x to solve for k:
\(ksin(\frac{\pi}{4})+(\frac{\pi}{4})^2=\frac{\pi}{4}+2\) and
\(k(\frac{\sqrt{2} }{2})+\frac{\pi^2}{16}=\frac{\pi}{4}+2\) and we'll multiply everything by 16 to get rid of the fractions. Doing that gives us:
\(8k\sqrt{2}=4\pi+32-\pi^2\) and
\(k=\frac{4\pi+32-\pi^2}{8\sqrt{2} }\) so
k = 3.067
The next one is a bit tricky if you're not up on your natural log equations.
Again, we set these equal to each other because they meet at the value of e. We sub in e for x and solve for m:
\(x +2=mlne^x\)
We'll sub in e for x. ln of e to the x power is equal to x, so
e + 2 = me and
\(m=\frac{e+2}{e}\) so
m = 1.736
Hope that helps!
suppose that the functions s and t are defined for all real numbers x as follows
s(x)=x+6
t(x)=2x^2
write the expressions for (s+t)(x) and (s*t)(x) and evaluate (s-t)(2)
Answer:
(s+t)(x) = s(x) + t(x)
(s*t)(x) = 2x³ + 4x²
Step-by-step explanation:
(s+t)(x) = s(x) + t(x)
= x + 2 + 2x²
= 2x² + x + 2
(s*t)(x) = s(x) * t(x)
= (x + 2) * 2x²
= 2x³ + 4x²
please give me brainliest if my answer is helpful
The value of a home in 2015 was $400,00 it’s value has been doubling each decade if v is the value of the home in dollars write an equation for v terms of d the number of decades since 2015
Answer:
400,000*(2)^d=v
Step-by-step explanation:
statisticians for a roadside assistance company interviewed 50{,}00050,00050, comma, 000 randomly selected United States (US) households. Of those, 15{,}59515,59515, comma, 595 reported that they had traveled 505050 or more miles from home between December 232323 and January 444. If there are 115{,}000{,}000115,000,000115, comma, 000, comma, 000 US households, approximately how many of them do the interviews suggest traveled 505050 or more miles from home at that time
Answer:
The answer is "35,868,500 people".
Step-by-step explanation:
In this question, the chance of people that have traveled above 50 miles is calculated. The chance of success is the probability.
\(n=50000\\\\ p=15595\)
\(\to P(x\geq 50)=\frac{15595}{50000}=0.3119\)
The population of the United States is at 1150000.
Let's determine that portion of the current population has gone more than 50 miles:
\(\to E(X)=np,N=115000000,p=0.3119\\\\=0.3119\times 115000000\\\\=35868500\)
Select the polynomials that are a difference of squares.
y^4-2
25m^2n^4-1
p^8-q^4
16x^2-24
Answer:
\(y^4-2\\\\16x^2-24\)
Step-by-step explanation:
\(Difference \ of \ squares:\ a^{2}-b^{2}=(a+b)(a-b)\)
\(y^4-2\\\\25m^2n^4-1\\\\p^8-q^4\\\\16x^2-24\\\\\)
Hope this helps!
Which Of The Following Statements Are Correct In The Simple CLRM Of One Variable And An Intercept Y=Β1+Β2X+U ? (Choose All Correct Answers) If We Know That Β2^<0 Then Also Β^1≪0. The Sample Correlation Of X And U^ Is Always Zero. The OLS Estimators Of The Regression Coefficients Are Unbiased. The Estimator Of Β2 Is Efficient Because It Has Lower Variance
The correct statements in the simple classical linear regression model (CLRM) with one variable and an intercept (Y = β1 + β2X + U) are:
1. If we know that β2 < 0, then also β1 < 0.
2. The OLS estimators of the regression coefficients are unbiased.
Let's analyze each statement:
1. If we know that β2 < 0, then also β1 < 0.
This statement is correct. In the simple CLRM, β1 represents the intercept, and β2 represents the slope coefficient. If the slope coefficient (β2) is negative, it implies that there is a negative relationship between X and Y. Consequently, the intercept (β1) needs to be negative to account for the starting point of the regression line.
2. The OLS estimators of the regression coefficients are unbiased.
This statement is correct. In the ordinary least squares (OLS) estimation method used in the simple CLRM, the estimators of β1 and β2 are unbiased. This means that, on average, the OLS estimators will be equal to the true population values of the coefficients. The unbiasedness property is a desirable characteristic of the OLS estimators.
The other two statements are incorrect:
3. The sample correlation of X and U^ is always zero.
This statement is not necessarily true. The error term (U) in the simple CLRM represents the part of the dependent variable (Y) that is not explained by the independent variable (X). The sample correlation between X and the estimated error term (U^) can be different from zero if there is a relationship between X and the unexplained variation in Y.
4. The estimator of β2 is efficient because it has lower variance.
This statement is incorrect. The efficiency of an estimator refers to its ability to achieve the lowest possible variance among all unbiased estimators. In the simple CLRM, the OLS estimator of β2 is indeed unbiased, but it is not necessarily efficient. Other estimation methods or assumptions may yield more efficient estimators depending on the characteristics of the data and the model.
To summarize, the correct statements are:
- If we know that β2 < 0, then also β1 < 0.
- The OLS estimators of the regression coefficients are unbiased.
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What is the answer here?
Answer:
yes
Step-by-step explanation:
you plug in (2,8) so 8 = y and 2=x.
so 8=4(2) 8=8 which is correct
then 8= 2+6 8=8 which is correct
Given the points (–3,k)(–3,k) and (2,0)(2,0), for which values of k would the distance between the points be 34−−√34 ?
Answer:
The possible values of k are 3 and -3
Step-by-step explanation:
Given
Points: (-3,k) and (2,0)
Distance between them = √34
Required
Determine the value of k
The distance between two points is calculated as thus;
\(Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)
Let
\((x_1,y_1) = (-3,k)\)
\((x_2,y_2) = (2,0)\)
Substitute these values in the given formula
\(Distance = \sqrt{(-3 - 2)^2 + (k - 0)^2}\)
Evaluate the brackets
\(Distance = \sqrt{-5^2 + k^2}\)
\(Distance = \sqrt{25 + k^2}\)
Recall that Distance = √34
So; we have
\(\sqrt{34} = \sqrt{25 + k^2}\)
Take square of both sides
\(34 = 25 + k^2\)
Collect Like Terms
\(k^2 = 34 - 25\)
\(k^2 = 9\)
Take square root of both sides
\(k = \±3\)
Hence, the possible values of k are 3 and -3
Help please, will mark you brainliest (Only if the answer is correct)
An unknown biomolecule was tested using benedict's test, the color remains blue. the same substance was tested using biuret test the color change to purple. what is the unknown biomolecule?
The unknown biomolecule is a protein.
What is the identity of the biomolecule that remains blue in Benedict's test but turns purple in the biuret test?The unknown biomolecule is a protein. Benedict's test is commonly used to detect reducing sugars such as glucose, which produce a blue color. Since the color remained blue in the test, it suggests that the unknown biomolecule does not contain reducing sugars. On the other hand, the biuret test is used to detect the presence of peptide bonds, which are characteristic of proteins. When the unknown biomolecule was subjected to the biuret test, the color changed to purple, indicating the presence of peptide bonds and thus confirming that the unknown biomolecule is a protein.
Proteins are complex macromolecules composed of amino acids linked together by peptide bonds. They play crucial roles in various biological processes, serving as structural components, enzymes, antibodies, and signaling molecules, among others. Benedict's test, which relies on the reduction of copper ions by reducing sugars, is not specific for proteins. Therefore, the lack of color change indicates the absence of reducing sugars in the unknown biomolecule. However, the biuret test specifically detects peptide bonds, which are unique to proteins. The formation of a purple color in the biuret test confirms the presence of proteins in the unknown biomolecule.
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Can someone plz help me? <3
Answer:
B) A person runs x miles at a rate of 12 minutes per miles then walks for 10 minutes is your best answer.
Step-by-step explanation:
This is the only one that meets all requirements, though the wording is rather poor, in my opinion.
'x" is stated in this statement rather correctly compared to the others.
For A), "A person drives 12 miles each day (x) for 10 days:
x would signify the amount of days: 12x or 12(10) = 120
For C), " A person drives 12 miles plus 10 miles for each additional hour they drive":
x would signify the amount of hour: 10x + 12
For D), "A person runs 12 miles the first day, x miles the second day, and 10 miles the third day":
x would signify the stand-alone value: 12 + x + 10
~
If sandy picked 5 apples and she ate 6 where did she get the one from?
Add.
Your answer should be eth expanded polynomial in standard f
(5h – 8h)+(-2h – hè – 2h) =
If a is an odd number, b an even number, and c an odd number, which expression will always be equivalent to an odd number?
4. Find the Laplace transform of f(t)= te-4t"cosh5t 5. i. Find the solution of the partial differential equation au/ax=10 au/at by variable separable method.
The solution to the partial differential equation is u(x,t) = \(kx^{a/10\), where k is a constant.
What is differential equation?A differential equation is a mathematical formula that includes one or more terms as well as the derivatives of one variable with respect to another.
To find the Laplace transform of f(t) = te^(-4t) cosh(5t), we use the formula:
\(L{f(t)} = \int_0 f(t) e^{(-st)} dt\)
= ∫₀^∞ \(te^{(-4t)} cosh(5t) e^{(-st)} dt\)
= ∫₀^∞ t cosh(5t) \(e^{(-(4+s)t)\) dt
Using integration by parts with u = t and dv = cosh(5t) \(e^{(-(4+s)t)\) dt, we get:
L{f(t)} = [-t/(4+s) cosh(5t) \(e^{(-(4+s)t)\)]₀^∞ + ∫₀^∞ (1/(4+s)) cosh(5t) \(e^{(-(4+s)t)\) dt
Simplifying the boundary term, we get:
L{f(t)} = (1/(4+s)) ∫₀^∞ cosh(5t) \(e^{(-(4+s)t)}\) dt
= (1/(4+s)) ∫₀^∞ (1/2) [\(e^{(5t)\) + \(e^{(-5t)\)] \(e^{(-(4+s)t)\) dt
= (1/2(4+s)) ∫₀^∞ [\(e^{((1-s)t)\) + \(e^{(-(9+s)t)\)] dt
Using the Laplace transform of \(e^{(at)\), we get:
L{f(t)} = (1/2(4+s)) [(1/(s-1)) + (1/(s+9))]
= (1/2) [(1/(4+s-4)) + (1/(4+s+36))]
= (1/2) [(1/(s+1)) + (1/(s+40))]
To solve the partial differential equation au/ax = 10 au/at by variable separable method, we can write:
(1/u) du/dt = 10/a dx/dt
Integrating both sides with respect to t and x, we get:
ln|u| = 10ax + C₁
Taking the exponential of both sides, we get:
|u| = \(e^{(10ax+C_1)\)
= \(e^{(10ax)\) \(e^{(C_1)\)
= \(ke^{(10ax)\) (where k is a constant)
Since u is positive, we can drop the absolute value and write:
\(u = ke^{(10ax)\)
Taking the partial derivative of u with respect to x, we get:
au/ax = \(10ke^{(10ax)\)
Substituting this into the given partial differential equation, we get:
\(10ke^{(10ax)\) = 10 au/at
Dividing both sides by 10u, we get:
(1/u) du/dt = a/(10x)
Integrating both sides with respect to t and x, we get:
ln|u| = (a/10) ln|x| + C₂
Taking the exponential of both sides, we get:
|u| = \(e^{(a/10 ln|x|+C_2)\)
= \(e^{(ln|x|^{a/10)\) \(e^{(C_2)\)
= \(kx^{a/10\) (where k is a constant)
Since u is positive, we can drop the absolute value and write:
\(u = kx^{a/10\)
The solution to the partial differential equation is u(x,t) = \(kx^{a/10\), where k is a constant.
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8
If f(x) = x2, what is g(x)?
7
6
5
g(x
4
3
2
-5
- 5
4
-3
-2
6
Answer:
The new function is g(x) = x² +1
Step-by-step explanation:
Explanation:-
Given that the function f(x) = x²
From graph ,
The parabola y = x² is shifting to up with '1' units
y = x² +1
The new function is g(x) = x² +1
Verification:-
y = x²+1
Put x=0 ⇒ y =1
The point (0,1) lies on the parabola y = x²+1
similarly put x =1 and y = 2
The Point (1,2) lies on the Parabola y = x²+1
∴ The new graph y = x²+1
If there are 135 revolutions in 180 seconds how many revolutions in 40 seconds?
Answer:
53.3 rotations
Step-by-step explanation:
135/180=x/40
solve by cross multiply
What is the answer plz help
Answer:
9 cm
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Find the missing length indicated. Leave your answer in simplest radical form
Answer:
25; 15^2+20^2=625. 25^2=625, therefore the answer is 25.
WILL GIVE BRAINLIEST find the value of x
Answer:
143.5
Step-by-step explanation:
In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in 4 minutes 37 seconds, how many minutes does it take in total for the team of 8 competitors to finish the race? Give your answer correct to the nearest minute. [Answer format: integer, no units]
Answer:
31 minutes
Step-by-step explanation:
Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds
1st runner time = 4 minutes 37 seconds
2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds
3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds
4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds
5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second
6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds
7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds
8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds
The total time is the addition of all the times
For clarity sake, we shall be adding all the minutes together and all the seconds together;
That will be ;
(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)
= 27 minutes + 224 seconds
We need to convert 224 seconds to minutes
Since 60 seconds make one minute; we have
224 - 60(3) = 3 minutes and 44 seconds
Let’s add this to the minutes we had before
That would be;
27 minutes + 3 minutes + 44 seconds
= 30 minutes 44 seconds
since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute
So the total time is 30 minutes + 1 minute = 31 minutes
HELP THIS IS DUE TONIGHT!!
What is the LCM (least common multiple) of the following
16ab^3 5a^2b^2 20ac
Also ^ means that it’s an exponent
You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct answer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?
Answer:
729 ways
Step-by-step explanation:
Given
Number of questions = 6
Choices = 3
Required
Number of ways of answering the questions
For each of the 6 questions;
There are 3 possible ways of selecting an answer;
The possible ways for the 6 questions is:
\(Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3\)
\(Possible\ Ways = 729\)
Hence, there are 729 ways of answering the question
Kayla is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. The total cost of renting the truck can be modeled by the equation C = 30 +2.50m, where m is the number of miles driven. What is the slope of the equation and what is its interpretation in the context of the problem? The slope of the function is which represents
The interpretation of the slope is that it represents the additional cost per mile driven, beyond the initial charge of $30.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
The equation for the total cost of renting the truck is:
C = 30 + 2.50m
where C is the total cost
m is the number of miles driven.
The slope of the equation is the coefficient of "m", which is 2.50. The slope represents the rate of change of the total cost with respect to the number of miles driven.
In this case, the slope of 2.50 means that for each mile driven, the total cost of renting the truck increases by $2.50.
So, the interpretation of the slope is that it represents the additional cost per mile driven, beyond the initial charge of $30.
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Can someone help and work this out please, Thank you!!
Answer:
11 17/21
Step-by-step explanation:
If we were multiplying then this would be the answer.
In Canadian coins, 16 quarters is equal in value to 2 toonies. 2. What does the value next to 1 mean in this situation? Type your response in the space below.
Regarding the Canadian coins, 1 toonies will be equal to 8 quarters.
How to illustrate the information?From the information given, it was stated that 16 Canadian coins, 16 quarters is equal in value to 2 toonies.
Therefore, it's important to find the constant of proportionality. This will be:
y = kx
where y = quarter
k = constant
x = toonies
16 = 2k
k = 16/2
k = 8
The value next to 1 quarter will be:
y = kx
y = 1 × 8
y = 8
Therefore, the toonies will be equal to right quarters.
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100 PONITS PLEASE ANSWER
A-D
A person's lean body mass measures how much non-fat mass a person has.
This includes bones, muscles and organs. A person's metabolic rate is how nuch energy a body burns while at rest. Below are the body mass and netabolic rates for 12 people.
a. Create a scatter plot for the body masses and metabolic rates.
b. Calculate the correlation coefficient.
c. Use the scatter pot and the correlation coefficient to explain if there is a correlation between body mass and metabolie rate.
d. Will a person's body mass go up if their metabolic rate goes up? Explain your answer.
Answer:
(a) See attachment.
(b) r = 0.8765 (4 d.p.)
(c) Strong positive correlation.
(d) See explanation.
Step-by-step explanation:
Part (a)Correlation measures how closely two variables are linked.
When creating a scatter plot with bivariate data:
The explanatory (independent) variable is drawn on the x-axis.The response (dependent) variable is drawn on the y-axis.Plot a scatter diagram using the data from the given table and the following variables.
Explanatory variable = Body mass (in kg).Response variable = Metabolic rate (cal/day).(See attachment).
Part (b)The correlation coefficient (r) measures the strength of the linear correlation between two variables.
Using a calculator and the given data, calculate r:
r = 0.8765 (4 d.p.).Part (c)As r is close to +1, this suggests that the data has a strong positive correlation.
This suggests that the metabolic rate increases as the body mass increases.
Part (d)We cannot use a regression line to predict a value of the explanatory variable. Therefore, as the body mass is the explanatory variable, we cannot say that a person's body mass will increase if their metabolic rate increases. However, we can say that according to the scatter plot and correlation coefficient, it is highly likely that a person's metabolic rate increases as their body mass increases.
Remember to apply caution when using values of of x outside the range of the original data to predict corresponding values of y, as these predications can be unreliable since there is no evidence that the relationship is true for all values of x.
1. Rectangular Prism: a. The measures: 1 =5, w = 7, h = 8.. b. The measures: h=7, w = 7,1 = 7. c. w = 3.6,1 = 4.2, h = 8.3 2. Cylinder a. r = 4, h = 7 b. h = 14.3, r = 8.5 3. Triangular Prism: a. Triangle area = 24, h = 5 b. Tri = b = 10, h = 9, and the height is 12 4. Sphere: a. r= 2 b. r = 4. c. In a and b, the radius of b is twice the radius of a. Is this also true for the volume of a spheres? Why? 5. Cone: a. r = 3, h = 9 b. h = 12, r = 5
For a rectangular prism, the
17 cm/min=________m/h
Answer: .17 m/h
Step-by-step explanation: One centimeter is .01 meters/one hundredth of a meter, so you just need to move the decimal two digits to the right to convert.