Answer:
y-b/m = x
Step-by-step explanation:
y = mx + b
~Subtract b to both sides
y - b = mx
~Divide m to both sides
y-b/m = x
Best of Luck!
Joe needs to add 1/2 cup of water to his cake mix, but all he has to measure with is a teaspoon. There are 48 teaspoons in a cup. How many teaspoons of water does Joe need to add to his mix?
Answer:
24
Step-by-step explanation:
*extra points* evaluate \(\sqrt[3]{2744}\)
Answer:
14
Step-by-step explanation:
describe how to estimate the regression function (equivalently, a,b) by the least-squares principle. notes: you only need to provide a description. this is an example of a nonlinear regression model.
The estimates are used to construct the estimated regression equation:
ŷ = b0 + b1x.
What is the estimation of the regression function?Regression analysis is typically performed for one of two reasons: to estimate the influence of some explanatory variable on the dependent variable or to predict the value of the dependent variable for individuals for whom some information about the explanatory variables is available. Y = mX + b is the equation for simple linear regression, where X is the predictor (independent) variable, m is the estimated slope, and b is the estimated intercept. An estimated regression equation is created using these estimates: ŷ = b0 + b1xA straight line is a good approximation to the relationship between y and x on the graph of the estimated regression equation for simple linear regression.Therefore, the estimates are used to construct the estimated regression equation: ŷ = b0 + b1x.
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Find the value of $x$ .
Right triangle S T W is shown. Angle T is marked as a right angle. A vertical segment U V is drawn, with point U along side S W and point V along side T W. Segment U V is perpendicular to segment T W so that U V W is a right triangle with V as the right angle. Segment S T measures 5 meters, segment T V measures 9 meters, segment V W measures 6 meters and segment U V is labeled x meters.
The triangle ΔSTW is similar to the triangle ΔUVW. Then the value of the variable 'x' is 12.5 meters.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔSTW and ΔUVW, we have
∠T = ∠V (Given)
∠W = ∠W (Common angle)
Then the triangles ΔSTW and ΔUVW will be similar to each other. Then the ratio of the corresponding sides will be constant. Then the equation is given as,
ST / UV = VW / TW
ST / UV = VW / (TV + VW)
5 / x = 6 / (9 + 6)
x = 5 (9 + 6) / 6
x = 5(15) / 6
x = 75 / 6
x = 12.5
The triangle ΔSTW is similar to the triangle ΔUVW. Then the value of the variable 'x' is 12.5 meters.
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I need help please! It's due today
The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The slope intercept form of a line is:
y = mx + b
where m is the slope and b is the y intercept
Monique graph passes through (0, 0) and (2, -1). Hence:
y - 0 = [(-1 - 0)/(2 - 0)](x - 0)
y = (-1/2)x
Clarence graph passes through (0, 0) and (2, 1). Hence:
y - 0 = [(1 - 0)/(2 - 0)](x - 0)
y = (1/2)x
Jose graph passes through (0, 1) and (-2, -2). Hence:
y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)
y = 1.5x + 1
Quincy graph passes through (0, -1) and (-2, 2). Hence:
y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)
y = -1.5x - 1
The equation Monique graph is y = (-1/2)x
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If x = 2, y = 3 and z = 5, calculate the following: 2yz ÷ 3
Step-by-step explanation:
2x 3x5 = 30 ÷ 3 = 10
hope this helps
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs.
What is the price of apples on tuesday?
Answer:
The average price for all apples Mrs. Wise bought is $1.5 and this can be determined by using the unitary method.
Step-by-step explanation:
Given :
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb.
On Tuesday, apples were on sale for 20% off so she bought another 5 lbs.
If the price of 3 lbs apples is $4 then the price of 5 lbs apples is:
= $20/3
Now, determine the price of apples Mrs. Wise bought on Tuesday when apples are on 20% sale.
= $16/3
The average price is given by:
Average Price = $1.5
So, the average price for all apples Mrs. Wise bought is $1.5.
Please help me!!! It is urgent. I added 2 more points to this, so please help!
Find x.
A. 11√42/2
B. 22√7
C. 11√42
D. 22v42/3
Select all COEFFICIENTS in the following expression:
17x +3 - 5y + 19 + 10z
Answer:
17, -5, and 10
Step-by-step explanation:
In a nutshell, for this problem, the coefficients are the numbers that go in front of the variables.
How do I solve sinhx= -2 and sinhx= \(\frac{7}{2}\)
and get the answer in logs?
Answer:
Step-by-step explanation:
1)
\(sinh(x)=-2\\\\\dfrac{e^x-e^{-x}}{2} =-2\\\\e^{2x}-1=-4e^x\\\\(e^x)^2+4e^x-1=0\\\\\Delta=16+4=20\\\\e^x=\dfrac{-4-\sqrt{5} }{2} \ (exclude) \ or\ e^x=-2+\sqrt{5} \approx{0,236067977...}\\\\x=ln(-2+\sqrt{5} ) \approx{-1,443635475178...}\\\\\)
2)
\(sinh(x)=\dfrac{7}{2} \\\\\dfrac{e^x-e^{-x}}{2} =\dfrac{7}{2} \\\\e^{2x}-1=7e^x\\\\(e^x)^2-7e^x-1=0\\\\\Delta=49+4=53\\\\e^x=\dfrac{7-\sqrt{53} }{2} \ (exclude) \ or\ e^x=\dfrac{7+\sqrt{53}}{2} \approx{7,1400549...}\\\\x=ln(7+\sqrt{53} ) \approx{1,96572...}\\\\\)
constant of proportionality the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.
Here's a breakdown of the components in the equation:
y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.
x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.
k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.
The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.
For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.
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the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? the answer should be typed as a decimal with 4 decimal places.
This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.
Using the normal distribution formula, we can calculate the z-scores for 200 and 400 shoppers:
z(200) = (200 - 505) / 115 = -2.65
z(400) = (400 - 505) / 115 = -0.91
Next, we can use a standard normal distribution table or calculator to find the area between these two z-scores. The probability is:
P(-2.65 < z < -0.91) = 0.1678
Therefore, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.
To calculate the probability that there are between 200 and 400 shoppers at the grocery store, we first need to determine the z-scores for those values. We can then use a standard normal distribution table or calculator to find the area between those two z-scores. The result is the probability of interest. In this case, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.
The probability that there are between 200 and 400 shoppers at the grocery store is 0.1678. This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.
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please help super confused
Answer:
∠ EHK
Step-by-step explanation:
Adjacent angles are positioned next to each other on a straight line and are supplementary.
∠ IHK is next to ∠ EHK on the line DI and are adjacent
a visitor is staying in an inn that is 15 kilometers west of the closest point on a shoreline to an island. the island is 2 kilometers due south of the shoreline. the visitor plans to travel from the inn to the island by running and swimming. if the visitor runs at a rate of 3 kmph and swims at a rate of 1 kmph, how far should the visitor run to minimize the time it takes to reach the island?
to minimize the time it takes to reach the island, the visitor has to run 15 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.
Here we have;
Location of island = 15km west
Location of tent = 2 km south of point on shoreline
Running speed of visitor = 8 km/h
Swimming speed = 1 km/h
Distance of island from tent = \(\sqrt{15^2 +2^2}\) = 15.13
Since, time = distance/speed, it will take 15.13/1 hours or 15.13 hours to swim directly to the island.
However if the visitor first runs to the closest point on the shoreline to the island, then swims across to the island, it will take;
15/8 Hr + 2/1 hr = 31/8 hours or 3.875 hours only.
Therefore, to minimize the time it takes to reach the island, the visitor has to run 15 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.
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What is the domain of this function?
{x|x >0}
{x|x <8)
{x|0
{xlx < 0x8}
Answer:
x≥0, or x=[0,∞)
Step-by-step explanation:
Domain is values of x.
x≥0, or x=[0,∞)
What is −2y + 10 + 2y − 8 simplified?
Please help-
Answer:
2
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Answer:
2 is the answer ☺️ the correct one
Evaluate each expression.
a) 3 + x for x = 1/2 b) 3 -- x for x = -2 c) 3x for x =1/4
explain how the inverse and the contopositivve of a conditional are alike and how they are different
Answer:
See explanation!
Step-by-step explanation:
The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.
The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.
Here is an example:
Conditional: If C, then D. (starting statement)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Based on the information from the example, you can conclude:
Primary Similarity:
Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).
Primary Difference:
The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.
I am sure you could find more similarities/differences, but these were the two that stood out to me the most!
I hope this helps! :)
Two people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other.
10. the probability of winning at the board game monopoly is 32.5% if you move first. if you play 20 games of monopoly where you move first, what is the probability that you win at least 10 out of 20 times?
The probability of winning the board game Monopoly is 32.5% if you move first. If you play 20 games of monopoly where you move first, the probability that you win at least 10 out of 20 times is 0.334.
Monopoly is a game of chance where the probability of winning changes depending on the variables. When you move first in a game of Monopoly, the probability of winning is 32.5%. If you play 20 games of Monopoly where you move first, you need to determine the probability of winning at least ten games.
We can determine this by using a binomial distribution. A binomial distribution is used to determine the probability of the number of successes or failures in a fixed number of independent trials.
The formula for the binomial distribution is:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) = probability of k successes
n = number of trials
k = number of successes
p = probability of success
(1-p) = probability of failure
C(n,k) = the number of combinations of n things taken k at a time.
Using this formula, we can determine the probability of winning at least ten games of Monopoly out of twenty. We need to find the probability of winning exactly ten games, eleven games, twelve games, and so on, up to twenty games. We can then add these probabilities together to get the probability of winning at least ten games.
P(X>=10) = P(X=10) + P(X=11) + P(X=12) + ... + P(X=20)
P(X=k) = C(20,k) * 0.325^k * 0.675^(20-k)
Therefore, the probability that you win at least 10 out of 20 times is:
P(X>=10) = 0.334
Hence, the answer is 0.334.
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Define the slope of the slope-intercept line form y=mx+b in terms of A,B and C belonging to the standard form of the linear equation Ax+By=C.
The definition of slope-intercept form y=mx+b is given below.
What is a line explain?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
What are the types of lines?In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.
In the given question:-
The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.
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a. if you were to select one block from the
bag 12 times, replacing the block you drew
between each selection, how many of those
times would you expect to have selected a
blue block? explain your reasoning.
If the bag contains a total of n blocks and m of them are blue, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws, assuming the selection process is random and the probabilities remain constant.
Let's assume that the bag contains a total of n blocks, and m of them are blue blocks. The probability of selecting a blue block on each draw, P(blue), would be m/n.
Since we are replacing the block after each selection, the total number of blocks in the bag remains the same throughout the process. Therefore, the probability of selecting a blue block on each draw remains constant at m/n.
To find the expected number of times we would select a blue block, we can multiply the probability of selecting a blue block on each draw (m/n) by the total number of draws (12):
Expected number of blue blocks = (m/n) * 12
The reasoning behind this is that in each individual draw, the probability of selecting a blue block is m/n. By performing 12 independent draws, we can expect to encounter this probability m/n a total of 12 times on average.
Therefore, if the bag contains n blocks with m blue blocks, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws.
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4t + 5 = -9
Solve for t
Answer:
t = -3.5
Step-by-step explanation:
4t + 5 = -9
4t = -14
t = -3.5
Answer:
t=1
Step-by-step explanation:
subtract 5 from both sides then simplify and divide
Jennifer invested $5,000 in her savings account for 7 years. When she withdrew it, she had $7,825 89 Interest was compoundedcontinuously. What was the interest rate on the account? Round to the nearest tenth of a percent
We are told that the interest is compounded continuously, therefore, we use the following formula:
\(A=Pe^{rt}\)Where "A" is the present value, "P" the initial value, "r" the interest rate, and "t" the time:
Now we solve for "r", first by dividing both sides by "P":
\(\frac{A}{P}=e^{rt}\)Now we take natural logarithm to both sides:
\(\ln \frac{A}{P}=rt\)Now we divide both sides by "t":
\(\frac{1}{t}\ln \frac{A}{P}=r\)Now we replace the given values:
\(\frac{1}{7}\ln \frac{7825.89}{5000}=r\)Solving the operations we get:
\(0.063=r\)Therefore, the interest rate is 6.3%.
I’m just lost on this on
Answer:
im sorry i cant really see that...
Step-by-step explanation:
Make t the subject of the formula.
Please help.
Answer:
\(t = \frac{2-3q}{q+4}\)
Step-by-step explanation:
\(q = \frac{2-4t}{t+3}\\\\\)
Cross multiply,
q(t+3) = 2 - 4t
Use distributive property: a*(b + c) =(a*b) + (a*c)
qt + 3q = 2- 4t
qt + 4t + 3q = 2
qt + 4t = 2 - 3q
t(q + 4) = 2 -3q
\(t = \frac{2-3q}{q+4}\)
a man finds 1 hundred dollars and he keeps one half of it, gives 1 fourth if it to someone and and gives another 1 fifth of it to some else and he puts the rest in savings. how much did he give everyone
g(x)=x-6
If the opposite of g(x) is -g(x),
then -g(x) =
What type of number is
\( \sqrt{7} \)
O A rational number O A whole number O An irrational number O A decimal that ends
Answer:
C
Step-by-step explanation:
It's not rational. It can't be represented as a fraction.
It can't be a decimal the ends. If I told you want the hundredth digit was, you could not establish the 101st digit.
If you try to find the square of 7 using the calculator that comes with winds, you get an answer that goes out to 2 followed by the decimal followed by 31 digits. You cannot find a pattern nor can you find an ending.
sqrt(7) is irrational.
Use double integrals to find the area inside the curveR={(r,θ)|0≤r≤5+sin(θ),0≤θ≤2π}(1
the area inside the curve R is approximately 42.4115 square units.
To find the area inside the curve R, we can use a double integral. The formula for finding the area of a region using a double integral is:
A = ∬R dA
where A is the area of the region R, and dA is an infinitesimal element of area in the region R.
In polar coordinates, dA can be expressed as:
dA = r dr dθ
where r is the radius and θ is the angle.
Substituting this into the formula for the area, we get:
A = ∫₀^2π ∫₀^(5+sinθ) r dr dθ
We can evaluate this integral by integrating first with respect to r and then with respect to θ:
A = ∫₀^2π [1/2 r²] from 0 to (5+sinθ) dθ
A = ∫₀^2π 1/2 (5+sinθ)² dθ
Expanding the square and simplifying, we get:
A = ∫₀^2π 1/2 (25 + 10sinθ + sin²θ) dθ
A = 1/2 ∫₀^2π (25 + 10sinθ + sin²θ) dθ
Using the trigonometric identity sin²θ = (1-cos2θ)/2, we can simplify this to:
A = 1/2 ∫₀^2π (25 + 10sinθ + 1/2 - 1/2cos2θ) dθ
A = 1/2 ∫₀^2π (27/2 + 5sinθ - 1/2cos2θ) dθ
Integrating each term separately, we get:
A = 1/2 [27/2θ - 5cosθ + 1/4sin2θ] from 0 to 2π
A = 1/2 [(27/2)(2π) - 5cos2π + 1/4sin2(2π) - (27/2)(0) - 5cos0 + 1/4sin0]
A = 1/2 (27π)
A = 13.5π
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