Answer:
a. E = 50 H b. 950 dollars
Step-by-step explanation:
a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H
E = 50H.
b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.
So, E = 50H
E = 50 × 19
E = 950 dollars.
So, Rachel's earnings after 19 hours is 950 dollars.
sanita is buying 5 posters that are all the same price. the store has a sale that takes $3 off the regular price of each poster. she pays a total of $63. she wants to know the regular price of one poster
Answer: $15.6
Step-by-step explanation:
Sanita pays $63 for 5 posters that are $3 off each, if you divide 63 by 5 you will get $12.6, so you have to add $3 to $12.6 to get 15.6 which was the original price of one poster.
The regular price of one poster $15.6
Sanita pays $63 for 5 posters that are $3 off each.
What is the meaning of regular price?Regular price means the price at which similar goods or services are regularly sold on the market.
If she divide 63 by 5 she will get $12.6
Therefore we have to add $3 to $12.6 to get 15.6
It was the original price of one poster.
To learn more about the pirce visit:
https://brainly.com/question/1153322
in the following figure, the value of x is
Answer:
x≈11.5
Step-by-step explanation:
sin(35)=x/20
x=20*sin(35)≈11.5
solve each proportion
8/16=n/78
125/25=60/x
The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is the length of the shortest side of the triangle
Answer:
20 cm
Step-by-step explanation:
5x + 32 + 6x + 4 = 80
11x + 36 = 80
11x = 44
x = 4
sides of triangle:
5(4) = 20 cm
32 cm
6(4) + 2 = 26 cm
Write each expression as a single logarithm.
log₂9-log₂3
If the expression is log₂9-log₂3, then it will look like \(log_{2}3\) in single logarithm.
Given that the expression is log₂9-log₂3.
We have to give the single logarithm for the given expression.
The quotient rule for logarithms tells us that the logarithm of a quotient is equal to a difference of logarithms. Just as with the product rule we also can use the inverse property to derive the quotient rule. The quotient property basically says that log (m/n)=log m-log n.
The expression is log₂9-log₂3.
log₂9-log₂3=\(log_{2}\)(9/3)
We can write it as \(log_{2}3\).
Hence if the expression is log₂9-log₂3, then it will look like \(log_{2}3\) in single logarithm.
Learn more about quotient property of logarithm at https://brainly.com/question/16472387
#SPJ4
Work out
25% of 401. 16m
Give your answer rounded to 2 DP
The 25 percent of 401.16m is equal to 100.29m, rounded to 2 decimal places as 100.30m.
To calculate 25% of 401.16m, we can use the formula:
percentage × value = result
where the percentage is 25%, the value is 401.16m, and the result is what we want to find.
So, we can write:
25% × 401.16m = (25/100) × 401.16m = 0.25 × 401.16m = 100.29m
Therefore, 25% of 401.16m is equal to 100.29m.
To round this to 2 decimal places, we need to look at the third decimal place, which is 9. Since 9 is greater than or equal to 5, we round up the second decimal place, which is 0. Therefore, the final answer rounded to 2 decimal places is:
100.29m rounded to 2 decimal places is 100.30m.
To learn more about percentage click on,
https://brainly.com/question/28973696
#SPJ4
Joe is wrapping a birthday present in a box that is 21 inches long, 14.5 inches wide, and 9 inches high. All sides of the box must be covered. What is the surface area that must be covered by wrapping paper? *
Answer:
2740.5
Step-by-step explanation:
This is what I got why I did was multipley them
Answer:
2740.5
Step-by-step explanation:
This is what I got when I multipled
based on the data provided, does this algorithm run in a reasonable or unreasonable time? explain your answer
As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.
What exactly is a linear equation?A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Based on how quickly iterations rise as input increases, fair and unreasonable algorithms can be distinguished. Since the algorithm does not grow exponentially, we can infer that it completes in an acceptable amount of time.
assessing the mathematical function that represents the algorithm's growth rate when input is added;
200 = 10k, where k is the proportionality constant.
k = 200/10
k = 20
The function that represents the number of iterations is as a result:
I = input size; n = 20i; represents the number of iterations.
As a result, the answer to the provided linear equation problem is that the iteration runs in an acceptable amount of time and does not rise exponentially.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
For the graph y = 2x + 23, find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two are more sentences.
Answer:
Parallel slope: 2
Perpendicular slope: -1/2
Step-by-step explanation:
For a parallel line, the slope are the same. The slope is the number before the x.
For perpendicular slopes, you turn the slope upside down and take the opposite sign.
dodie wants to plant roses in her triangular plot. there will be 1 plant at a corner. starting from that corner, each row will have 5 more plants than the row before it. she has 160 rose plants and wants the plot to have as many rows as possible. how many rows will dodie's plot have
Dodie's triangular plot with 160 rose plants will have 12 rows.
To solve it,
Assigning a variable to the number of rows we want to find. Assume that this variable is "n".
Since there are 5 more plants in each row than in the previous row,
We can use an arithmetic sequence to represent the number of plants in each row.
Specifically, the first row will have 1 plant, and the second row will have
1 + 5 = 6 plants, the third row will have 1 + 5 + 5 = 11 plants, and so on.
The formula for an arithmetic sequence is,
an = a1 + (n-1)d
Where an is the nth term of the sequence,
a1 is the first term,
And d is a common difference.
Using this formula, we can write an expression for the total number of plants in all n rows,
160 = n/2 (2 + (n-1)5)
Simplifying this equation, we get,
160 = 2.5n² + 2.5n - 5
Now we can solve for n using the quadratic formula,
n = (-2.5 ± √(2.5²+ 4(2.5)(165)))/(2(2.5))
After simplifying this equation, we get two solutions,
n = -13.2 and n = 12.2.
Since we can't have a negative number of rows, we'll take the positive solution, n = 12.2.
Now, since we can't have a fraction of a row, we'll round down to the nearest integer.
Therefore, Dodie's plot will have 12 rows.
To learn more about quadratic equations visit:
https://brainly.com/question/30098550
#SPJ12
What is the slope of a line that is parallel to y= 3x+5?
Answer here_________
Answer:
3
Step-by-step explanation:
The slope of a line parallel to another should be the same, therefore the answer is 3. To ensure the lines do not overlap make sure the y-intercepts are different.
What is the equation of the line that passes through the point (2,-5) and is perpendicular to the line y = -2x + 1? A y = 2x - 1 B y = -x-4 C y = { x - 4 D y = į x-6
Answer:
sorry
Step-by-step explanation:
im so sorry
student x pushes a 10-n box with a force of 2 n. at the same time, student y pushes the same box with a force of 6 n, but in the opposite direction. which would most likely occur? (ignore friction.)
Find the inverse Laplace transform if the given functiona) F(s) = s^n+1 . n! / s^n+1b) F(s) = 2s +1 / 4s^2 + 4s + 5
The inverse Laplace transforms of the given functions.
\(a) F(s) = (s^{n+1} * n!) / (s^{n+1})\)
Simplify F(s).
F(s) = n! (since\(s^{n+1}\) in the numerator and denominator cancels out)
Apply the inverse Laplace transform.
\(L^(-1){n!} = t^n * u(t)\)
\((a): t^n * u(t)\), where u(t) is the unit step function.
b) F(s) = (2s + 1) / (4s^2 + 4s + 5)
Rewrite F(s) in the standard form for inverse Laplace transforms of a quadratic denominator.
\(F(s) = (2s + 1) / (2s + 1)^2\).
Apply the inverse Laplace transform using the property \(L^{-1}{1 / (s + a)^2} = t * e^{-a*t} * u(t).\)
In our case, a = 1.
\(L^{-1}{(2s + 1) / (2s + 1)^2} = t * e^{-t}* u(t)\)
\((b): t * e^(-t) * u(t),\) where u(t) is the unit step function.
The Laplace transform is a mathematical technique used to convert a function of time into a function of complex frequency.
The inverse Laplace transform is the reverse process, which is used to convert a function of complex frequency back into a function of time.
The inverse Laplace transform is defined as follows:
f(t) = (1/2πi) ∫γ [\(F(s) e^{st} ds\) ]
where f(t) is the function of time, F(s) is the Laplace transform of f(t), γ is a contour in the complex s-plane that encloses all the poles of F(s), and i is the imaginary unit.
For similar question on inverse Laplace.
https://brainly.com/question/27753787
#SPJ11
What is the value of |-7| - |3|
Answer:
4 is the correct answer
Step-by-step explanation:
|-7| = 7
|3| = 3
7 - 3 = 4
HELP ME
I WILL GIVE YOU BRAINLIEST
Answer: The mass of the remaining element = 1.1 grams .
Step-by-step explanation:
Exponential equation of decay: \(y=A(1-r)^x\) ...(i), where A = intial value , r= rate of decay in decimal , x= time.
As per given :
Initial mass : A= 140 grams
Rate of decay : r= 21.6% per minute= 0.216 per minute.
x= 20 minutes
Substitute values in (i) , we get
\(y=140(1-0.216)^20\\\\=140(0.784)^2^0=1.077579422\)
Hence, the mass of the remaining element = 1.1 grams .
Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Fill in the blank
d = __ s + __
(also to understand better we are doing the equation y = __ x + __ )
Answer:
I know this is late but the actual answer is d=3s+-50
Step-by-step explanation:
The reason is because he is swimming down, so yeah.
Please help meeee !!!!!!
Answer: 3/5
Step-by-step explanation:
Since 10 divided by 5 = 2 (denominator), you should also divide 6 by 2(numerator).
If the predicted odds of buying are 3:1 then which of the following is true? P-.75 and 1-P-25 OP - 25 and 1-D-75 None of the Above
A). (P-.75 and 1-P-25) is the correct option. If the predicted odds of buying are 3:1
This is a bit of a tricky question, but I will do my best to give you a long answer that explains the different components at play here. First, let's start with the term "predicted odds of buying." This term refers to the likelihood that someone will make a purchase based on some kind of analysis or prediction. In this case, the odds are given as 3:1, which means that for every 3 people who are predicted to buy, 1 person is predicted not to buy.
Option A (P-.75 and 1-P-25) refers to the probabilities of buying (P) and not buying (1-P), and suggests that the probability of buying is 0.75 (or 75%) and the probability of not buying is 0.25 (or 25%). Option B (OP-25 and 1-D-75) is similar, but uses the term "OP" instead of "P." It also suggests that the probability of not buying is 0.75 (or 75%) and the probability of buying is 0.25 (or 25%).
Finally, option C (None of the Above) suggests that neither of the previous options are correct.
The answer is actually option A (P-.75 and 1-P-25). This is because the odds of buying (3:1) can be converted into probabilities by dividing the number of predicted buyers by the total number of predicted buyers and non-buyers. In this case, there are 3 predicted buyers for every 1 predicted non-buyer, so the probability of buying is 3/4 (or 0.75) and the probability of not buying is 1/4 (or 0.25).
To know more about predicted odds:
https://brainly.com/question/31911056
#SPJ11
In the reading, it states: F∝ r 2
1
What is the interpretation of this equation? A. Gravity is a force that acts as a directly proportional square law with respect to distance. B. Gravity is a force that acts as an inversely proportional law with respect to distance. c. Gravity is a force that acts as an inversely proportional square law with respect to distance. D. Gravity is a force that acts as an directly proportional law with respect to distance. QUESTION 2 What is currently used to test how the constant G has changed over the evolution of the Universe? A. atoms B. type la supernovae c. black holes D. comets QUESTION 3 By the same token as this excerpt, the gravity of the Sun is directed and A. upwards; towards the center of the Sun B. downwards; towards the surface of the Sun c. upwards; towards the surface of the Sun D. downwards; towards the center of the Sun
1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.
2. B. Type Ia supernovae
3. D. Downwards; towards the center of the Sun
The interpretation of the equations and the correct options for the given questions are as follows:
Question 1:
The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:
C. Gravity is a force that acts as an inversely proportional square law with respect to distance.
Question 2:
To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:
B. Type Ia supernovae
Question 3:
Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:
D. Downwards; towards the center of the Sun
Learn more about gravity on:
https://brainly.com/question/14874038
#SPJ11
What is the quotient of –11.25 divided by –0.375?
Answer:
D!!
Step-by-step explanation:
(30)
lol np
A surf instructor has an initial fee of $12 and charges $8
per hour for lessons.
Explain how to determine what the y-intercept is and
where it would be located on
the graph.
PLEASE ANSWER!!
Answer:
Step-by-step explanation:
The equation for this surf instructors' price would be y = 8x + 12.
The y-intercept would be located at (0,12) as that is the initial price that the instructor charges before pricing hourly.
Hope this helps, but if you have any questions, please let me know. :)
The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.
Answer:
103 at most and 87 at least
Step-by-step explanation:
95-8=87 seeds
95+8=103 seeds
Answer with step-by-step explanation:
Max: 25 + 3 = 28
Min: 25 - 3 = 22
Hope this helped!
Last week, Leon bought 8 pizzas and 13 cakes
for a total of $134.
Today, Leon bought 28 pizzas and 4 cakes for a
total of $220.
Assuming neither item has changed in price,
what is the cost of a pizza in dollars?
Addition and subtraction of algebraic expressions(9x - 1)/6 + (2x -10)/5
To solve this question, follow the steps below.
Step 01: Find the LCM of 5 and 6 (denomitators).
5, 6 | 2
5, 3 | 3
5, 1 | 5
1, 1
The LCM is 2*3*5 = 30
Step 02: Rewrite the fractions using 30 as the denominator.
To do it, divide 30 by the original denominator and multiply the result by the numerator.
\(\frac{5\cdot(9x-1)}{30}+\frac{6\cdot(2x-10)}{30}\)Step 03: Solve the expression.
First, since the fractions have the same denominator, you can write them using only one denominator:
\(\frac{5\cdot(9x-1)+6\cdot(2x-10)}{30}\)Now, remove the parentheses by solving the multiplications.
\(\begin{gathered} \frac{5\cdot9x+5\cdot(-1)+6\cdot2x+6\cdot(-10)}{30} \\ \frac{45x-5+12x-60}{30} \end{gathered}\)Adding like terms:
\(\begin{gathered} \frac{45x+12x-5-60}{30} \\ \frac{57x-65}{30} \end{gathered}\)Answer:
\(\frac{57x-65}{30}\)(b) by how much could the smallest sample observation, currently 8.1, be increased without affecting the value of the sample median?
The smallest sample observation that can increase 8.1 without changing the sample median's value is 4.4.
By sample median, what do you mean?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set. Simply expressed, the sample median is the middle value after sorting the observations in ascending order if the sample size is odd. The sample median is the average of the two middle values if the sample size is equal. The data set's median value is the value that falls in the middle, ordered by magnitude. The sample median is the average of the two middle terms when the number of samples in the data set is even. When the data set is symmetrically distributed, the sample mean serves as a reliable indicator of the central tendency.
The median can be calculated as (12.5+12.6)/2=12.55.
The incremented least observed value is 12.5-8.1=4.4, and the difference is that.
To know more about sample median, click here:
https://brainly.com/question/16977875
#SPJ4
PLS HELP THIS IS IMPORTANT OFFERING 20 POINTS
The exponential function f intersects the x-axis at the point (2,0) and intersects the y-axis at the point (0,-5.25)
If g(x) = 3x - 2, which statement is true over the interval [0, 2]?
A.
The average rate of change of g is equal to the average rate of change of f.
B.
The average rate of change of g is greater than the average rate of change of f.
C.
The average rate of change of f cannot be determined using the information given.
D.
The average rate of change of g is less than the average rate of change of f.
Answer:
A.
Step-by-step explanation:
Find the area of the parallelogram whose vertices are listed below. (-2, 0), (0, 3), (1, 3), (-1, 0).
The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.
To find the area of a parallelogram whose vertices are given, we use the formula
A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .
Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.
Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2
=|(-6+0+0)+ (0+3+2)|/2
=11/2 square units.
Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.
Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.
To know more about area of a parallelogram Visit:
https://brainly.com/question/28284595
#SPJ11
please help and solve for me
Step-by-step explanation:
\(8x - 7y = 23\)
\(7y = 8x - 23\)
\(y = \frac{8x}{7} - \frac{23}{7} \)
Find the net change in the value of the function between the given inputs.
g(t) = 2 − t2; from −3 to 7
Answer:
\(-54\)
Step-by-step explanation:
The net change of \(g(t)\) from \(-3\) to \(7\) is just \(g(7) -g(-3)\).
Given:
\(g(t) = 2 -t^2\)
Solution:
\(g(7) -g(-3) \\ (2 -(7)^2) -(2 -(-3)^2) \\ (2 -49) -(2 -9) \\ -47 -7 \\ -54\)