Pierre found a new store where he hopes to save
money on his supplies. He bought 4 brushes and 7
tubes of paint for $32. He has another order for 6
brushes and 8 tubes of paint that will cost $43.
What is the cost of one brush? What is the cost of
one tube of paint?
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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please do this for me
Answer:
x 1/2 + 6
Step-by-step explanation:
Let x be the number of shhoes mercades has and 1/2 represents the half jane has then +6 represents the 6 more she has
Can y’all help me on question 19?!
Answer:
Its D
Step-by-step explanation:
Two machines just completed projects at the same time. Machine A complete a project every 1.25 minutes. Machine B completes a project every 4.5 minutes. How long will it be until both machines complete a project at the same time again?
Answer:
5.75
Step-by-step explanation:
1.25 +4.5 =5.75(the time =the addition of the both times)
20 points and brainliest if answered correctly
Answer:
To calculate the total number of hours in one week and four days, we can break it down as follows:
One week consists of 7 days, and each day has 24 hours. So, the total number of hours in one week is 7 * 24 = 168 hours.
Four days consist of 4 * 24 = 96 hours.
To find the total, we add the hours from one week and four days:
168 hours (one week) + 96 hours (four days) = 264 hours
Therefore, the correct answer is (b) 264 hours.
Answer:
It would be 264 hours. (B)
Step-by-step explanation:
There are 168 hours in a week and 4 (24) is 96. 168 + 96 =264
1. A honeybee leaves the hive and travels 2 KM before returning. What distance did the
honeybee travel and what was the honeybee's displacement
Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0
Displacement is defined as the shortest distance travelled by the object.
According to the question we have been given that the honeybee travelled 2km before returning to the hive.
Thus the total distance travelled by the honeybee is = 2 + 2 km
= 4 km
And the honeybee’s displacement = 0
Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.
Hence total distance = 4km
And displacement = 0
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Which is a certain event?
A) pulling a blue sock from a drawer that has 4 blue socks and 2 pink socks
B) pulling a pink sock from a drawer that has 4 blue socks and 2 pink socks
C) pulling a blue sock from a drawer that has only 5 blue socks
D) pulling a pink sock from a drawer that has only 5 blue socks
Answer:
C. Pulling a blue sock from a drawer of only blue socks
Step-by-step explanation:
If there is no other color in the drawer, only that color can be pulled certainly.
find the missing terms in each of the
Which equation represents this statement?
−115 is the same as the sum of −23 times a number and −3
−115+(−23)=−3x
−115+(−23x)=−3
−115=−23x+(−3)
−115=−23+(−3x)
Answer:
−115=−23x+(−3)
Step-by-step explanation:
i just...did the test and saw what was right k12 test
Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, an instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam. The overall average for the exam was μ = 73.4, but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of s = 8.4. For this study, did answering questions while studying produce significantly higher exam scores? Use a one-tailed test with α = .01 and the Distributions tool to help. (Round your answers to three decimal places, when needed.)
Answer:
We conclude that answering questions while studying produces smaller or equal exam scores.
Step-by-step explanation:
We are given that an instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam.
The overall average for the exam was μ = 73.4, but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of s = 8.4.
Let \(\mu\) = overall average for the exam.
So, Null Hypothesis, \(H_0\) : \(\mu \leq\) 73.4 {means that answering questions while studying produce smaller or equal exam scores}
Alternate Hypothesis, \(H_A\) : \(\mu\) > 73.4 {means that answering questions while studying produce significantly higher exam scores}
The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;
T.S. = \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\) ~ \(t_n_-_1\)
where, \(\bar X\) = sample mean score = 78.3
s = sample standard deviation = 8.4
n = sample of students = 16
So, the test statistics = \(\frac{78.3-73.4}{\frac{8.4}{\sqrt{16} } }\) ~ \(t_1_5\)
= 2.33
The value of t-test statistic is 2.333.
Now at the 0.01 significance level, the t table gives a critical value of 2.602 at 15 degrees of freedom for the right-tailed test.
Since our test statistic is less than the critical value of t as 2.333 < 2.602, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that answering questions while studying produces smaller or equal exam scores.
please help me im stuck
Answer:
A. by adding an identical classroom and allowing students t use electric ans in it
Step-by-step explanation:
Because Fans are opposite to natural Air
Need help with short problem 1
As stated in the problem description, matrix A transforms the input vector (x, y, and z) into the output vector (y+z, 2x-z, 0).
The matrix A is: | 0 1 1 |, | 2 0 -1 |, | 0 0 0 |
What is a matrix?A matrix, sometimes known as matrices, is a rectangular array or table of letters, numbers, or other symbols organized in rows and columns that are used to represent a mathematical object or a characteristic of one.
In linear algebra, matrices describe linear mappings and enable explicit computations. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices. The composition of linear maps, for instance, is represented by matrix multiplication.
Not every matrix has a connection to linear algebra. This is especially true for incidence matrices and adjacency matrices in graph theory.
The matrix A is:
| 0 1 1 |
| 2 0 -1 |
| 0 0 0 |
Applying the matrix multiplication A x y z to any random vector (x, y, z) will demonstrate why:
| 0 1 1 | | x | | y + z |
| 2 0 -1 | x | y | = | 2x - z |
| 0 0 0 | | z | | 0 |
Hence, as stated in the problem statement, matrix A transforms the input vector (x, y, and z) into the output vector (y+z, 2x-z, 0).
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How many gallons of 35% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of 40%
alcohol solution?
There needs to be____
gallons of 35 % alcohol solution and____
gallons of 50 % solution.
There needs to be 6 gallons of 35 % alcohol solution
and 3 gallons of 50 % solution.
======================================================
Explanation:
x = number of gallons of the 35% solution
y = number of gallons of the 50% solution
The two amounts must add to 9 gallons, so x+y = 9
This solves to y = 9-x
Since we want 9 gallons of 40% alcohol solution, this means we want 0.40*9 = 3.6 gallons of pure alcohol.
----------------
0.35x = amount of pure alcohol from the first batch
0.50y = amount of pure alcohol from the second batch
0.35x+0.50y = total amount of pure alcohol
Set that expression equal to the 3.6 figure calculated earlier (the total amount of pure alcohol we're after) and we get this equation
0.35x+0.50y = 3.6
----------------
Next, we replace y with 9-x and then solve for x.
0.35x+0.50y = 3.6
0.35x+0.50(9-x) = 3.6
0.35x+4.5-0.50x = 3.6
-0.15x+4.5 = 3.6
-0.15x = 3.6-4.5
-0.15x = -0.9
x = -0.9/(-0.15)
x = 6
We'll need 6 gallons of the 35% solution
Use this x value to find y
y = 9-x
y = 9-6
y = 3
We'll also need 3 gallons of the 50% solution
A coffee place is selling coffees for $2.50 each and cappuccinos for $3.75 each.
Today the coffee place sold a total of 70 drinks (coffees and cappuccinos) for a total of $222.50.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find how many coffees and how many cappuccinos the coffee place sold today.
Answer:
Step-by-step explanation:
a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.
The equation that represents the given information is:
2.50x + 3.75y = 222.50
b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.
Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.
Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):
2.50(40) + 3.75y = 222.50
100 + 3.75y = 222.50
3.75y = 222.50 - 100
3.75y = 122.50
y = 122.50 / 3.75
y ≈ 32.67
In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.
We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.
Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.
In one hour, a satellite orbiting the Earth travels 1.1 x 107 m (meters). Whichof the following is the best way to rewrite this quantity, using moreappropriate units?A. 1.1 x 10^9 cmB. 1.1 x 10^10 mmC. 1.1 x 10^7 mD. 1.1 x 10^4 kmSUBMIT
I wrote the full explanation about scientific notation to the student ten minutes ago. He or she just has to review the question answered and can answer this or similar exercises without inconvenience.
can you guys help me pls what is [34 + (9×2)]÷2= what is it pls help
Answer:
306
Step-by-step explanation:
compute the sample variance of the data set given by 1, 3, 10, 2, 9, and 6. report your answer to three decimal places.
The sample variance of the given data set is 5.667. This value was determined by subtracting the mean of the data set from each value, squaring the differences, and then calculating the average of the squared differences.
To calculate the sample variance of the given data set, I first determined the mean by adding all of the values together and then dividing them by the number of values (6). The mean value of the data set was 5. Next, I subtracted the mean from each value and squared the differences to get the squared differences. The squared differences were -4, 4, 25, -3, 16, and 1. I then added all of the squared differences together and divided them by the number of values (6) to get the sample variance of 5.667. This is the final value which was rounded to three decimal places.
Mean = (1 + 3 + 10 + 2 + 9 + 6) / 6 = 5
Squared difference = (-4)^2, (4)^2, (25)^2, (-3)^2, (16)^2, (1)^2
Sample variance = (-4)^2 + (4)^2 + (25)^2 + (-3)^2 + (16)^2 + (1)^2 / 6 = 5.667
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using the table find the value of y when x=2
Answer:
y = 8 when x = 2
Step-by-step explanation:
y = 4x
In a bank, 20 customers on the average, are served by a cashier in an hour. If
the service time has exponential distribution, what is the probability that;
(i) It will take more than 10 minutes to serve a customer?
(ii) A customer shall be free within 4 minutes
(i) The probability that it will take more than 10 minutes to serve a customer is approximately 0.1353.
(ii) The probability that a customer shall be free within 4 minutes is approximately 0.4866.
To solve this problem, we can use the exponential distribution formula. The exponential distribution is often used to model the time between events occurring at a constant average rate. In this case, we want to find the probability of specific service times.
Let's denote λ as the average number of customers served per hour. Given that 20 customers are served on average, we can determine λ by dividing the average number of customers by the time taken to serve them, which is 1 hour. Therefore, λ = 20 customers/hour.
Now, we can calculate the probability using the exponential distribution formula:
(i) To find the probability that it will take more than 10 minutes to serve a customer, we need to convert 10 minutes to hours, which is 10/60 = 1/6 hour. Let's call this value x.
The probability can be calculated as P(X > x) = 1 - P(X ≤ x), where X follows an exponential distribution with rate parameter λ.
P(X > 1/6) = 1 - P(X ≤ 1/6)
= 1 - (1 - \(e^{(-\lambda x))\) [Using the cumulative distribution function (CDF) of the exponential distribution]
= \(e^(- \lambda x)\)
= \(e^{(-20/6)\)
≈ 0.1353
(ii) To find the probability that a customer shall be free within 4 minutes, we convert 4 minutes to hours, which is 4/60 = 1/15 hour. Let's call this value y.
The probability can be calculated as P(X ≤ y), where X follows an exponential distribution with rate parameter λ.
P(X ≤ 1/15) = 1 - \(e^{(-\lambda y)\)
= 1 - \(e^{(-20/15)\)
≈ 0.4866
Therefore, the probability that a customer shall be free within 4 minutes is approximately 0.4866.
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James shares 5/8 of a cake between 6 people.
What fraction of the cake do they each receive?
Answer:
5/48
Step-by-step explanation:
The fraction of people getting cake will be 1/6 of 5/8 thus it will be 5/48.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.
As per the given,
James shares 5/8 of a cake between 6 people.
Now, 1/6 of 5/8 will be as,
1/6(5/8) = 5/48
Hence "The fraction of people getting cake will be 1/6 of 5/8 thus it will be 5/48".
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Mr. Tomich has a total of 150 dollars to give away. If he is giving away the money to 8 people, which equation can be used to represents, the amount of money each person will receive?
Answer:
8x=150
Step-by-step explanation:
number of people=8
total money to give away=150
amount of money each person will receive=X
we know, 8X=150
or, X=150/8
•°• X=18.75
Solve: 1606 ÷ 73 = ____
Answer:
22
Step-by-step explanation:
the answer is 22 duydtodogxhfydududurudyxhxoxitxyiydyid
Answer:
22..Hope it help you...
Step-by-step explanation:
1606/73=22
Solve the following problems using the Polygon Interior Angle Sum Theorem and Polygon Exterior Angle Sum Theorem.
Sum of the measures of the interior angles of the regular nonagon
Measure of each interior angle of the regular nonagon
Measure of each exterior angle of the regular nonagon
a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°
b) The measure of each interior angle of the regular nonagon is a = 140°
c) The measure of each exterior angle of the regular nonagon is b = 40°
Given data ,
Sum of the measures of the interior angles of a regular nonagon:
The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:
Sum of interior angles = (n - 2) * 180°
For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:
Sum of interior angles = (9 - 2) * 180
Sum of interior angles = 7 * 180
Sum of interior angles = 1260°
So, the sum of the measures of the interior angles of a regular nonagon is 1260°
Measure of each interior angle of a regular nonagon:
Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:
Measure of each interior angle = Sum of interior angles / Number of sides
Measure of each interior angle = 1260 / 9
Measure of each interior angle = 140°
So, the measure of each interior angle of a regular nonagon is 140°
Measure of each exterior angle of a regular nonagon:
The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°
Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:
Measure of each exterior angle = 360 / Number of sides
Measure of each exterior angle = 360 / 9
Measure of each exterior angle = 40°
Hence , the measure of each exterior angle of a regular nonagon is 40°
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Q. Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is
30% complete. How many windows does she clean in all?
Answer:
30
Step-by-step explanation:
So we know that 9 windows is 30% so then we multiply 30 to get to the closest to 100 which is x3 so its 90%. Then you divide 30 by 9 which is 3.3 and round it to 3.
transform the linear equation 12-4y=5x to slope and y-intercept form
Step-by-step explanation:
-4y = 5x - 12
4y = -5x + 12
y = -5/4x + 3
Find the inverse of A = 9, -2 -10, 7 , if it exists.
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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Gas at Shell station in Marsing cost Lane $4.739 per gallon. Round this to the nearest hundredth.
Answer:
$4.74
Step-by-step explanation:
the hundredths place is the second one after the decimal, and the number after is 9 so it rounds up
The lengths of a professor's classes has a continuous uniform distribution between 60.0 min and 90.0 minutes. If one such class is randomly selected, find the probability that the class length is less than 76 min.
Answer:
0.533
Step-by-step explanation:
Given that :
Class length has a Continuous uniform distribution between 60 - 90 min
Lower limit (L1) = 60
Upper limit (L2) = 90
Probability that class length is less than 76 min
P(x < 76):
(x - L1) / (L2 - L1)
(76 - 60) / (90 - 60)
16 / 30
= 0.533
P(x < 76) = 0.533
Write an equation of a line that is perpendicular to 6x - 3y = -6 and passes
through the point (-12, 14).
I'm sorry but I didn't get that