Clare is paid 90$ for 5 hours of work. At this rate, how many seconds dose it take for her to earn 25 cents?
Answer:
84 seconds
Step-by-step explanation:
Because if you divide all of that you would get that answer
Help me please I need help
Answer:
please see answers below
Step-by-step explanation:
1) 5/10 X 5 = (5 X 5)/ 10 = 25/10 = 2.5
2) 3/5 X 10 = (3 X 10) /5 = 30/5 = 6
3) 5/6 X 3 = (5 X 3)/6 = 15/6 = 5/2 = 2.5
4) 5/6 X 12 = (5 X 12)/6 = 60/6 = 10
5) 3/5 X 20 = (3 X 20)/5 = 60/5 = 12
6) 2/3 X 8 = (2 X 8)/3 = 16/3
7) 2/9 X 3 = (2 X 3)/9 = 6/9 = 2/3
8) 4/7 X 21 = (4 X 21)/7 = 84/7 = 12
find the limit. (if the limit is infinite, enter '[infinity]' or '-[infinity]', as appropriate. if the limit does not otherwise exist, enter dne.) lim x→[infinity] 7 − x 7 2ex
The limit is 0.
We will first understand what limit is and ten calculate it :
A limit is a boundary beyond which something may not extend. Limit has many meanings such as "the point at which something stops", or "a boundary". It can also mean "to restrict" or "restrict".
We can use the word "limit" to describe what we don't want, but if it is to get used with time-sensitive items we have to make sure it's accurate.
To evaluate the limit, we can use L'Hopital's rule since we have an indeterminate form of "infinity/infinity". Differentiating the numerator and denominator with respect to x, we get:
lim x→[infinity] 7 - x / 7(2ex) = lim x→[infinity] (-1) / (14ex)
Since the denominator goes to infinity as x goes to infinity, and the numerator remains constant, we can see that the limit is equal to zero:
lim x→[infinity] 7 - x / 7(2ex) = lim x→[infinity] (-1) / (14ex) = 0
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Write a \(y=\frac{4}{5}x-2\) in standard form using integers.
Answer:
4x-5y=10
Step-by-step explanation:
The perimeter of square S is 40. Square T is inscribed in square S. What is the least possible value of the area of square T ?
A. 45
B. 48
C. 49
D. 50
E. 52
The least possible value of the area of square T is 49 i.e., the correct answer is option (C) 49, representing the least possible value of the area of square T.
The least possible value of the area of square T can be determined by analyzing the relationship between the two squares and their perimeters.
Let's denote the side length of square S as 'a'.
Since the perimeter of square S is 40, each side of the square has a length of 10 (40 divided by 4).
Square T is inscribed in square S, which means that its corners touch the sides of square S.
To find the least possible value of the area of square T, we need to consider the scenario where square T is the smallest possible square that can be inscribed in square S.
In this case, the sides of square T are parallel to the sides of square S, and the corners of square T coincide with the midpoints of the sides of square S.
Since square T is inscribed in square S, the diagonal of square T is equal to the side length of square S.
Using the expression of Pythagorean theorem, we can calculate the length of the diagonal of square T:
Diagonal of square T = √(\(10^2 + 10^2\)) = √200 = 10√2
The side length of square T can be found by dividing the diagonal length by √2:
Side length of square T = 10√2 / √2 = 10
Therefore, the area of square T is (side length)^2 = \(10^2\) = 100.
However, we are looking for the least possible value of the area of square T.
Since the answer choices are given, we can see that the smallest possible area is 49, which corresponds to option (C).
Hence, the correct answer is option (C) 49, representing the least possible value of the area of square T.
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Find the area of the quadrilateral. Round
to the nearest hundredth.
Step-by-step explanation:
The area of a parallelogram is height * base
See diagram
area = 6 sin 60 * 8 = ~ 41.57 units^2
Here is a triangle ABC.
A
30°
Work out the value of sin ABC
Give your answer in the form
6.5 cm
n
C
10.7 cm
m where m and n are integers.
B
/+21.
Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.
To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.
The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.
In the given information, we don't have a right triangle or the length of the side opposite angle ABC.
Without this information, it is not possible to calculate the value of sin(ABC) accurately.
If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).
We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).
The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.
A right triangle or the length of the side opposite angle ABC are absent from the provided information.
The value of sin(ABC) cannot be reliably calculated without these information.
Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).
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Solve for z.
3 + 2z = 7
z =
Solve for z.
3 + 2z = 7
z =
Answer: z=2
Step-by-step explanation:
2 x 2 = 4 + 3 = 7
Answer: Okay, the answer is z=2.
Step-by-step explanation: Step 1: Simplify the both sides of the equation: 2z+3=7.
Step. 2: Subtract 3 from the both sides: 2z+3−3=7–3.
Last but not least is step 3. Divide the both sides by 2: 2z/2=4/2. So you get z=2. I hoped my step-by-step explanation formula substitution is very helpful, please mark me as Brainliest, and have a happy holidays!!!!!!! :D
What is the mean score Score90807060
Given:
A table is given
Required:
To calculate mean of the data
Explanation:
We know the formula to calculate mean
\(mean=\frac{sum}{count}\)\(sum=\frac{90+80+70+60}{4}=\frac{300}{4}=75\)Required answer:
75
.
−15a + _______ = 65 + (−15a)
solve :))
Answer:
I think it is -15a + 65 = 65 + (-15a)
Step-by-step explanation:
46 pts to first correct and brainliest. Help ASAP PLZ. GOD BLESS YOU
Answer:
a^4
Step-by-step explanation:
First evaluate the quantity inside the parentheses: (a^(-3)).
Then raise this result to the power -1:
(a^(-3))^(-1) = a^4
Answer:
a^3
Step-by-step explanation:
1/a^-1 a^-2
a^-1a^-2= a^-3
1/a^-3
1/1/a^3
a^3/1
a^3
HELP I WILL GIVE BRAINLIEST!!!! 14. Select all the situations that could be represented by the expression 40. (-18).
A hot air balloon descends 18 inches per a second for 40 seconds.
A hot air balloon ascends 40 inches per a second for 18 seconds.
Trey withdraws $18 from his checking account once a week for 40 weeks.
Suzanne deposits $18 into her savings account once a week for 40 weeks.
Morty withdraws $40 from his checking account once a month for 18 months.
I think that it is the 2nd one and the 5th one.
I hope that this helps! :)
Can someone please help me with this
Answer:
Yes
Step-by-step explanation:
Because I can assist you hit my inbox
Answer:
help you with what?
Step-by-step explanation:
post the question and I am probably 90% sure I can answer it for you I just need to know what the question is . if you've already got it done then no need to answer back .
annually versus quarterly. $5,000 at 10% for 5 years
Answer:
2500
Step-by-step explanation:
500*5
The diameter of a circle is 16 centimeters. How would you calculate the area?
A. TT. 82 cm.
B. 28 cm.
C. TT 162 cm.2
D. 2. T. 16 cm.
Which equation shows y=3x−1/5 in standard form?
5x−15y=−1
15x+5y=−1
5x−15y=1
15x−5y=1
(Others who have asked this question have mistaken the "1/5" for 15 and answers have been false, so I'm going to ask this question correctly.)
answer: 15x−5y=1
I took a test and that was answer, wish I could be more help.
which, if any, of the following are antiderivatives of the function e x 2 ? circle all that apply, or ‘none’ as appropriate. z x 2 1 e t 2t dt z x √ 2 e t 2 dt e x 2 2x z x 2 0 e t dt n
The anti derivative of the function eˣ² is eˣ²/2x.
What is defined as the anti derivative?Derivatives are the inverse of antiderivatives. An antiderivative is a function that does the opposite of what a derivative does. There are many antiderivatives of one function, but they all take the shape of a function + an arbitrary constant. Indefinite integrals rely heavily on antiderivatives.An antiderivative, F, of the a function, f, is a function that may be differentiated to get the original function, f. In other words, an antiderivative is defined mathematically as follows: ∫ f(x) dx = F(x) + C, where C is the integration constant.The given function is; eˣ².
To find the anti derivative of the function, integrate the function with respect to x.
Let y = eˣ²
Integration of exponential function remains same but applying the chain rule, the derivative of the power of exponent comes at the denominator.
∫y. dx = ∫eˣ² .dx.
∫eˣ² .dx. = eˣ²/(d/dx)x²
∫eˣ² .dx. = eˣ²/2x
Thus, the anti derivative of the function is found as eˣ²/2x.
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Match a recursive formula for the graph and identify the sequence as arithmetic or geometric.
Graph of a sequence
Arithmetic, t0=15
and tn=2.8+tn−1
where n≥1
.
Geometric, t0=15
and tn=2.8⋅tn−1
where n≥1
.
Arithmetic, t0=15
and tn=2.8⋅tn−1
where n≥1
.
Geometric, t0=15
and tn=2.8+tn−1
where n≥1
.
The recursive formula in this case is;
Arithmetic, t0=15
and tn=2.8+tn−1
where n≥1
Option A
What is a recursive formula?A recursive formula is a formula that defines a sequence of values in terms of its previous values. It provides a way of defining a sequence in a compact form, with each term of the sequence depending on one or more preceding terms.
In mathematics, recursive formulas are often used to define sequences. We can see that in this sequence, the first term is 15 and the common difference is obtained by simple subtraction .
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Suppose that n =
133
i.i.d. observations for
Yi, Xi
yield the following regression results:
Y=33.97+69.53X, SER=15.65, R2=0.81
(15.4)
(13.3)
Another researcher is interested in the same regression, but he makes an error when he enters the data into the regression: He enters each observation twice, so he has
266
observations (with observation 1 entered twice, observation 2 entered twice, and so forth).
Part 2
Which of the following estimated parameters change as result?
(Check
all that
apply)
A.
The estimated intercept and slope.
B.The
R2
of the regression.
C.The standard error of the regression
(SER).
Your answer is correct.
D.
The standard errors of the estimated coefficients.
Your answer is correct.
Part 3
Using the
266
observations, what results will be produced by his regression program?
Y
=
33.97
+
69.53X,
SER =
enter your response here,
R2
= 0.81
(enter your response here)
(enter your response here)
(Round
your responses to two decimal
places)
Part 2: The estimated intercept and slope (A) and the standard errors of the estimated coefficients (D) will change as a result of entering each observation twice. Part 3: The regression program predicts the dependent variable Y based on the independent variable X. The intercept term is 33.97, and the slope term is 69.53. The standard error of the regression (SER) is not provided and should be filled in. The coefficient of determination (R2) is 0.81, indicating that 81% of the variability in Y can be explained by the linear relationship with X.
Part 2:
The estimated intercept and slope (A) and the standard errors of the estimated coefficients (D) will change as a result of entering each observation twice. The intercept and slope estimates will be affected because the doubled observations will introduce more data points, leading to a different estimation of the regression line. The standard errors of the estimated coefficients will also change because they are calculated based on the variance of the residuals, and the doubled observations will alter the residuals.
Part 3:
Using the 266 observations, the regression program will produce the following results:
Y = 33.97 + 69.53X
SER = (original SER) x √2
R2 = 0.81
The standard error of the regression (SER) will change by multiplying the original SER by the square root of 2, since doubling the observations will decrease the variability in the residuals. The R2 value will remain the same because it represents the proportion of the variance in the dependent variable explained by the independent variable(s), and doubling the observations does not affect this relationship.
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Which graph represents a bike traveling at a constant rate of
12 miles per hour?
Answer:
what graph?...........
Compute the absolute maximum bending moment developed on the span of a 30 m simple span RC girder over a bridge, due to the moving loads shown in Fig. Q. S(b).
The absolute maximum bending moment developed on the span of a 30 m simple span RC girder over a bridge due to the moving loads shown in Fig.
Q. S(b) is 1350 kN-m.
According to the loading arrangement, a UDL of 10 kN/m is applied over the entire span, and a concentrated load of 30 kN is applied at the centre of the span.
There are a total of 7 equal panels, each of which has a length of 30 m / 7 = 4.285 m. To determine the maximum moment due to a UDL, it is multiplied by the moment of the uniformly distributed load (w) acting over the span at the centre.
Therefore, we have; Maximum moment due to UDL = wL^2 / 8= 10 x 30^2 / 8= 1125 kN-m
Moment due to a concentrated load at the centre of the span = WL/4= 30 x 30/4= 225 kN-m
Therefore, the absolute maximum bending moment developed on the span of a 30 m simple span RC girder over a bridge, due to the moving loads shown in Fig.
Q. S(b) is;1125 kN-m + 225 kN-m= 1350 kN-m
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Find the value of y !!
Answer:
y ≈18.8
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
y^2 +18^2 = 26^2
y^2 +324=676
y^2 = 676-324
y^2 =352
Taking the square root of each side
sqrt(y^2) = sqrt(352)
y is approximately 18.76
y ≈18.8
8x+3>_x+10 how do i solve dis
HELP
Answer:
x > 1
Step-by-step explanation:
Subtract 3 from both sides
8x + 3 - 3 > x + 10 - 3
Simplify
8x > x + 7
Subtract x from both sides
8x - x > x + 7 - x
Simplify
7x - 7
Divide both sides by 7
7x/7 > 7/7
Simplify
x > 1
plz answer number 10 :)
Answer: The answer is C. ( 6, -5)
Step-by-step explanation:
3.Write the equation of a parabola with focus (-2, 4) and directrix y = 2. Show your work, including a sketch.
In this problem, we need to find the equation and the graph of a parabola given the focus and the directrix.
Sometimes it's best to start with graphing the given information to determine if the graph is a horizontal or vertical parabola. So, we'll have:
Since the focus is always inside the parabola and the directrix is outside the parabola, we know this will be a vertical parabola. Depending on the text, this standard formula may look different. For our purposes, the standard form of a vertical parabola is:
\((x-h)^2=4p(y-k)\)Where (h,k) is the vertex.
The vertex is typically the same distance from both the focus and the directrix, so we can find the distance between them and divide by 2.
The vertex will be at (-2,3):
Now we can substitute the vertex into our standard form knowing (h,k) = (-2, 3):
\(\begin{gathered} (x-(-2))^2=4p(y-3) \\ (x+2)^2=4p(y-3) \end{gathered}\)Next, we need to find the value of p for our equation.
P is the distance from the vertex to the focus. Since our vertex is at (-2,3) and our focus is at (-2,4), the difference between the y-values shows a distance of 1.
Since p=1,
\(\begin{gathered} (x+2)^2=4(1)(y-3) \\ (x+2)^2=4(y-3) \end{gathered}\)Our final graph is:
Calculate a finite-difference solution of the equation au au ôt ox² U = Sin(x) when t=0 for 0≤x≤ 1, U=0 at x = 0 and 1 for t > 0, i) Using an explicit method with 8x = 0.1 and St=0.001 for two time-steps. ii) Using the Crank-Nikolson equations with dx=0.1 and St=0.001 for two time-steps. satisfying the initial condition and the boundary condition 00,
i) Using the explicit method, we can use the forward difference approximation for the time derivative and the central difference approximation for the spatial derivative. ii) Using the Crank-Nicolson method, we can use a combination of forward and backward difference approximations for the time derivative and the central difference approximation for the spatial derivative.
To calculate a finite-difference solution of the given equation, we will use both an explicit method and the Crank-Nicolson method. Let's calculate the solutions for each case:
i) Explicit method:
Using the explicit method, we can use the forward difference approximation for the time derivative and the central difference approximation for the spatial derivative.
Given: au/auôt = (\(U_{i,j\)+1 - \(U_{i,j\))/Δt
and: au/aux² = (\(U_{i+1,j\) - 2\(U_{i,j\) + \(U_{i-1,j\))/Δx²
For 0 ≤ x ≤ 1, Δx = 0.1, and St = 0.001, we have:
Δx = 0.1
Δt = 0.001
Using the explicit method, we can update the solution \(U_{i,j\) as follows:
\(U_{i,j+1\) = \(U_{i,j\) + (St/Δx²)(\(U_{i+1,j\) - 2\(U_{i,j\) + \(U_{i-1,j\)) + StSin(\(x_i\))
Performing the calculations for two time steps:
Step 1: j = 0
Initialize \(U_{i\),0 = 0 for 0 ≤ x ≤ 1
Apply the boundary conditions \(U_{0,j\) = 0 and \(U_{8,j\) = 0
Step 2: j = 1
Calculate \(U_{i,1\) using the update equation
Apply the boundary conditions \(U_{0,j\) = 0 and \(U_{8,j\) = 0
ii) Crank-Nicolson method:
Using the Crank-Nicolson method, we can use a combination of forward and backward difference approximations for the time derivative and the central difference approximation for the spatial derivative.
Given: au/auôt = (\(U_{i,j+1\) - \(U_{i,j-1\))/(2Δt)
and: au/aux² = (\(U_{i+1,j\) - 2\(U_{i,j\) + \(U_{i-1,j\))/Δx²
For 0 ≤ x ≤ 1, Δx = 0.1, and St = 0.001, we have:
Δx = 0.1
Δt = 0.001
Using the Crank-Nicolson method, we can update the solution \(U_{i,j\) as follows:
\(U_{i,j+1\) - \(U_{i,j-1\) = (St/2Δx²)(\(U_{i+1,j\) - 2\(U_{i,j\) + \(U_{i-1,j\)) + (St/2)(Sin(\(x_i\)) + Sin(\(x_i\)))
Performing the calculations for two time steps:
Step 1: j = 0
Initialize \(U_{i,0\) = 0 for 0 ≤ x ≤ 1
Apply the boundary conditions \(U_{0,j\) = 0 and \(U_{8,j\) = 0
Step 2: j = 1
Calculate \(U_{i,1\) using the update equation
Apply the boundary conditions \(U_{0,j\) = 0 and \(U_{8,j\) = 0
Please note that the specific calculations and solution values depend on the number of grid points and time steps used. The above explanation provides a general approach to solving the equation using finite-difference methods.
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A researcher is interested in finding a 98% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 106 students who averaged 37.5 minutes concentrating on their professor during the hour lecture. The standard deviation was 13.2 minutes. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a [? ✓ distribution. b. With 98% confidence the population mean minutes of concentration is between minutes. c. If many groups of 106 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean minutes of concentration and about percent will not contain the true population mean minutes of concentration. and Hint: Hints Video [+]
The answer to part (c) is 98 and 2 percent.
a. To compute the confidence interval use a Normal distribution.
b. With 98% confidence the population mean minutes of concentration is between 35.464 minutes and 39.536 minutes.
c. If many groups of 106 randomly selected members are studied, then a different confidence interval would be produced from each group.
About 98 percent of these confidence intervals will contain the true population mean minutes of concentration and about 2 percent will not contain the true population mean minutes of concentration.
Solution:
It is given that the researcher is interested in finding a 98% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture.
The study included 106 students who averaged 37.5 minutes concentrating on their professor during the hour lecture.
The standard deviation was 13.2 minutes.
Since the sample size is greater than 30 and the population standard deviation is not known, the Normal distribution is used to determine the confidence interval.
To find the 98% confidence interval, the z-score for a 99% confidence level is needed since the sample size is greater than 30.
Using the standard normal table, the z-value for 99% confidence level is 2.33, i.e. z=2.33.At a 98% confidence level, the margin of error, E is: E = z * ( σ / sqrt(n)) = 2.33 * (13.2/ sqrt(106))=2.78
Therefore, the 98% confidence interval for the mean is: = (X - E, X + E) = (37.5 - 2.78, 37.5 + 2.78) = (34.722, 40.278)
Hence, to compute the confidence interval use a Normal distribution.With 98% confidence the population mean minutes of concentration is between 35.464 minutes and 39.536 minutes.
Therefore, the answer to part (b) is 35.464 minutes and 39.536 minutes.
If many groups of 106 randomly selected members are studied, then a different confidence interval would be produced from each group.
About 98 percent of these confidence intervals will contain the true population mean minutes of concentration and about 2 percent will not contain the true population mean minutes of concentration.
Therefore, the answer to part (c) is 98 and 2 percent.
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an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 130 engines and the mean pressure was 6.1 lbs/square inch. assume the standard deviation is known to be 0.9 . if the valve was designed to produce a mean pressure of 5.9 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications? state the null and alternative hypotheses for the above scenario.
The null hypothesis for this scenario is that the valve performs to the specifications, i.e., the mean pressure produced by the valve is 5.9 lbs/square inch. The alternative hypothesis is that the valve does not perform to the specifications, i.e., the mean pressure produced by the valve is not 5.9 lbs/square inch.
To determine if there is sufficient evidence to reject the null hypothesis, we need to perform a hypothesis test.
Since the sample size is greater than 30 and we know the population standard deviation, we can use a z-test. We can calculate the test statistic as:
z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))
Plugging in the given values, we get:
z = (6.1 - 5.9) / (0.9 / sqrt(130)) = 2.33
Using a standard normal distribution table, we find that the probability of getting a z-value of 2.33 or greater is approximately 0.01.
Since this probability is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence that the valve does not perform to the specifications.
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im trying to raise up my grade help plz
Answer:
Step-by-step explanation:
2x + 2 + 5x + 3 = 180
7x + 5 = 180
7x = 175
x = 25
A cookie recipe calls for 5/7 cup of butter to make 4 dozen cookies. Mackenzie need to make 18 dozen cookies for a bake sale. How many cups of butter are required?
Given data:
5/7 cup of butter to make 4 dozen cookies
? cup of butter to make 18 dozen cookies
Use a rule of three:
\(\begin{gathered} ?=\frac{18*\frac{5}{7}}{4} \\ \\ ?=\frac{\frac{90}{7}}{4} \\ \\ ?=\frac{90}{7*4} \\ \\ ?=\frac{90}{28} \\ \\ ?=\frac{45}{14}=\frac{42}{14}+\frac{3}{14}=3\frac{3}{14} \end{gathered}\)Then, there are required 45/14 (or 3 3/14) cups of butter to make 18 dozen of cookies