Answer:
a) The daily fee is $102
The processing fee is $42
b) The maximum number of days the beach house can be rented with no more than $1,200 is (by rounding down) 11 days
Step-by-step explanation:
The data given in the table are as follows;
Number of days (t) \({}\) Total cost, T (dollars)
2 \({}\) 246
4 \({}\) 450
6 \({}\) 654
8 \({}\) 858
Whereby, we have that the processing fee is P, and the daily fee is D, we can write;
Total cost, T = D × t + P
From the table, we have;
When t = 2 days and T = $246, the above equation for total cost becomes;
$246 = D × 2 + P = 2·D + P
246 = 2·D + P.....(1)
Similarly, when t = 6 days, and T = $654, we have;
$654 = D × 6 + P = 6·D + P
654 = 6·D + P.....(2)
Subtracting equation (1) from equation (2) gives;
654 - 246 = 6·D + P - (2·D + P)
408 = 4·D
D = 408/4 = 102
The daily fee, D = $102
From equation (1), we have;
246 = 2·D + P = 2 × 102 + p
p = 246 - 2 × 102 = 42
P = $42
The processing fee, P = $42
b) Given that the maximum amount available (total amount) for spending on the beach house rental = $1200, we have;
T = D × t + P
Where, D = $102 and P = $42 are constants and T = $1,200, we have;
1,200 = 102 × t + 42
t = (1200 - 42)/102 ≈ 11.35 days
Given that we can only rent the beach house for a whole number of days, the number of days the beach house can be rented is therefore, by rounding down, t = 11 days.
a) D = $102
P = $42
b) t = 11 days
Step-by-step explanation:
Given :
Data in the table -
Days (t) Total cost (dollors) (T)
2 246
4 450
6 654
8 858
Calculation :
a) Let the total processing fee is P and the daily fee is D.Now,
\(\rm T = D \times t + P\) ------------ (1)
Now, from the table we have ,
When t = 2 days and T = $246 than equation (1) becomes
\(\rm 246 = D\times 2+ P = 2D + P\)
246 = 2D + P ------- (2)
Similarly, when t = 6 days, and T = $654, then equation (1) becomes
\(\rm 654 = D\times 6+ P = 6D + P\)
654 = 6D + P --------- (3)
Subtracting equation (2) from equation (3) ,
654 - 246 = 6D + P - (2·D + P)
408 = 4D
D = $102
From equation (2),
246 = 2·D + P = 2 × 102 + p
p = 246 - 2 × 102 = 42
P = $42
b) Given:
The maximum amount available for spending on the beach house rental = $1200
Now,
\(\rm T= D\times t + P\)
Where, D = $102 and P = $42 are constants and T = $1,200,
1200 = 102t + 42
t = 11.35 days
Given that we can only rent the beach house for a whole number of days. therefore, the number of days the beach house can be rented is, t = 11 days.
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At Creekland Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?
Answer:
120
Step-by-step explanation:
Okay you take the 24 students in each class
Then you take the 5 art classes in the school
Then you take the 5 and 24 and multiply them
And the sum of that is 120 and there
suppose that a simson goes through its own pole show that the pole must be one of the vertices of the triangle.
If a Simpson's line (a line passing through the centroid and any point on the circumcircle of a triangle) goes through its own pole (the isogonal conjugate of the point), then the pole must be one of the vertices of the triangle.
How can a Simpson's pole pass through its own vertex?In a triangle, the centroid is the point of intersection of the medians, while the circumcircle is the circle passing through all three vertices of the triangle.
The isogonal conjugate of a point with respect to a triangle is a point that lies on the reflections of the triangle's sides with respect to the angle bisectors. In the case of the circumcircle and centroid, the isogonal conjugate of the centroid is the circumcenter, and the isogonal conjugate of the circumcenter is the orthocenter.
Now, when the Simpson's line passes through its own pole, it means that the pole (orthocenter) must lie on the circumcircle of the triangle. Since the circumcircle passes through all three vertices of the triangle, it follows that the pole (orthocenter) must be one of the vertices of the triangle.
Therefore, if a Simpson's line goes through its own pole, the pole must be one of the vertices of the triangle.
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Is the relation shown in the arrow diagram a function? Justify your answer.
Alternative text
Yes. The input 0.8 and 0.4 have only one output.
Yes. Each output has only one input.
No. Each input has only one output.
No. The input 1.2 has 2 outputs.
Answer:
No. The input 1.2 has 2 outputs.
Step-by-step explanation:
See attachment for complete question
The first circle represents the domain while the second represents the range of the function.
For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.
One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.
Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function
However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).
Hence, this does not represent a function.
Of the $175 that Sheila has, she gives $7 to charity. What percent does she give to charity?
Answer:
Your answer is 4%
Step-by-step explanation:
7÷175×100 = 4
does anyone know the area and the perimeter of this??
Answer:
Area=15in²
Perimeter=16in
Step-by-step explanation:
area=L×W
Perimeter=L+L+W+W
Answer:
Your answer is
Area = ( 5 * 3) = 15 inch ^2
Perimeter = 2(5+3) = 16 inch
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Step-by-step explanation:
suppose the proportion of students in school a diagnosed with adhd is p1 and the proportion of students in school b diagnosed with adhd is p2. state the null hypothesis for a test to determine if school a has the lower proportion of students diagnosed with adhd.
H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)
Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.
Symbolically, the null hypothesis can be stated as:
H0: p1 ≥ p2
Where:
H0: Null Hypothesis
p1: Proportion of students diagnosed with ADHD in School A
p2: Proportion of students diagnosed with ADHD in School B
In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.
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When calculating correlation and regression both sets of data must be __________
When calculating correlation and regression both sets of data must be Statistical.
According to the statement
we have to find the type of data when we calculate the correlation and regression both sets.
so, The difference between these two statistical measurements is that correlation measures the degree of a relationship between two variables (x and y), whereas regression is how one variable affects another.
And when we calculate both then data sets must be a statistical data. because correlation summarizing direct relationship between two variables and regression predict or explain numeric response. So, without statistical data this is not possible to calculate correlation and regression both sets.
so, When calculating correlation and regression both sets of data must be Statistical.
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ASAP!!!!! A square pyramid and its net are shown below. What is the surface area of the pyramid?
Answer:
800
Step-by-step explanation:
16x16=256
17x16=272
272/2=136
136x4=544
544+256=800
At Morgan Middle School, 35% of the eighth-grade students are enrolled in Algebra 1. There are 105 eighth-grade students in Algebra 1. How many eighth-grade students in total attend Morgan Middle School?
Answer:
300 students
Step-by-step explanation:
We can infer from the information given that 35% = 105 students. To find 100%, we can first find 5%, divide 105 by 7. 105 ÷ 7 = 15. We can now multiply by 20 to get 100%; 15 × 20 = 300.
Answer: 300 students
Hope this helps!
Solve the equation. 5t^3 +40t^2 = -80t
Answer:
-5t2 + 40t - 3
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 5 • 3 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -40 .
-15 + -1 = -16
-5 + -3 = -8
-3 + -5 = -8
-1 + -15 = -16
1 + 15 = 16
3 + 5 = 8
5 + 3 = 8
15 + 1 = 16
how can we draw it in graph?
\(f(x) = { - 2}^{ - x} \)
The graph of f(x) = -2⁻ˣ is given as attached.
How was the above graphed?To graph the function f(x) = -2⁻ˣ, we can follow these steps:
1. Choose a set of x-values to plot on the x-axis. Since the function has an exponent that involves negative powers of 2, we should choose values that are evenly spaced on the x-axis, such as -3, -2, -1, 0, 1, 2, and 3.
2. Substitute each x-value into the function to find the corresponding y-value. For example, when x = -3, we have f(-3) = -2⁻³ = -1/8. Similarly, we can find the y-values for the other x-values we chose.
3. Plot the points (x, y) on the graph. Make sure to label the axes and use a ruler or graphing software to ensure accuracy.
4. Connect the points with a smooth curve to show the shape of the function between the plotted points. Since the function has a negative exponent, it approaches zero as x gets larger, so the curve should approach the x-axis as it moves to the right.
The resulting graph should show a decreasing curve that gets closer and closer to the x-axis, without ever touching it, as x gets larger.
Note that the values of y for each x are:
When x = -3, y = -1/8
When x = -2, y = -1/4
When x = -1, y = -1/2
When x = 0, y = -1
When x = 1, y = -2
When x = 2, y = -4
When x = 3, y = -8
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a restaurant sold 5 sandwiches and 7 pies everday for a week. how many sandwiches and pies combined were sold
Step-by-step explanation:
5 sandwiches plus 7 pies =12
12×7 days (week) =84 were sold
For a lottery, the probability of a winning ticket is 0. 10. What is the probability the 20th ticket purchased is the second winning ticket? O 0. 015 O 0. 090 O 0. 257 O 0. 29
The probability that the 20th ticket purchased is the second winning ticket is 0.10
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.
The probability of a winning ticket is = 0. 10
Thus,
This means there is a 10% chance of winning with each ticket purchased.
The likelihood that the 20th ticket will be the second winning ticket is the same as the chance that any other ticket will be the second winning ticket, which is 0.10. This is because each ticket purchase is autonomous and has no bearing on the results of other tickets. Therefore, the probability of the 20th ticket purchased being the second winning ticket is also 0.10 or 10%
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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 slope of the line below is -3. use the coordinates of the labeled point to find a point-slope equation of the line.
Answer:
B
Step-by-step explanation:
point (5,-7) slope ( -3) form of the line would be
(Y- -7) = - 3(x-5)
y+7 = -3 (x-5)
Is the ordered pair (5,-6) a solution of the following system of linear equations?
6x + 3y = 12
4x + y = 14
A) No, the ordered pair is not a solution.
B) Yes, the ordered pair is a solution.
determine whether the series is convergent or divergent. [infinity] 5 n2 n3 n = 1
Let's solve the given problem. Suppose v is an eigenvector of a matrix A with eigenvalue 5 and an eigenvector of a matrix B with eigenvalue 3.
We are to determine the eigenvalue λ corresponding to v as an eigenvector of 2A² + B².We know that the eigenvalues of A and B are 5 and 3 respectively. So we have Av = 5v and Bv = 3v.Now, let's find the eigenvalue corresponding to v in the matrix 2A² + B².Let's first calculate (2A²)v using the identity A²v = A(Av).Now, (2A²)v = 2A(Av) = 2A(5v) = 10Av = 10(5v) = 50v.Note that we used the fact that Av = 5v.
Therefore, (2A²)v = 50v.Next, let's calculate (B²)v = B(Bv) = B(3v) = 3Bv = 3(3v) = 9v.Substituting these values, we can now calculate the eigenvalue corresponding to v in the matrix 2A² + B²:(2A² + B²)v = (2A²)v + (B²)v = 50v + 9v = 59v.We can now write the equation (2A² + B²)v = λv, where λ is the eigenvalue corresponding to v in the matrix 2A² + B². Substituting the values we obtained above, we get:59v = λv⇒ λ = 59.Therefore, the eigenvalue corresponding to v as an eigenvector of 2A² + B² is 59.
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(1) A pizza restaurant had 3/5 of a gallon of pizza sauce left at the end of the evening and
divided it equally among 6 pizzas. How much sauce did they put on each pizza?
Answer:
The pizza restaurant put 1/10 of the sauce on each pizza.
Step-by-step explanation:
Take the 3/5, and on a calculator divide the 3 by the 5:
0.6
Then, take the 0.6 and divide it by the 6 pizzas:
0.1, converted into a fraction equals 1/10.
The pizza restaurant put 1/10 of the sauce on each pizza.
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What is the x-intercept of the line with equation 3y - 8x = 10? Represent your answer as a point in (x, y) form.
The solution is
Answer:
(-1.25, 0) or (-5/4, 0)
Step-by-step explanation:
The x-intercept is when y = 0, so let's plug 0 into the equation:
3(0) - 8x = 10
Now we use basic algebra to solve for x:
0 - 8x = 10
-8x = 10
x = -5/4 or -1.25
So the answer is (-1.25, 0) or (-5/4, 0).
Hope this helps (●'◡'●)
A farmer wants to build two fenced-off sections within his field, one in the shape of a rectangle and the other in the shape of a square. The side of the square must be equal to the width of the rectangle, x feet. The length of the rectangle must be 50 feet longer than its width. The field the farmer wants to build the two fenced sections in has an area of y square feet. The difference of the area of this field and the area of the fenced, square section needs to be at least 1,000 square feet. In addition, the sum of the fenced areas must be less than the area of the field. This is the system of inequalities that represents this situation. Y > 1 2 + 1,000 y > 2. 12 + 501
Which points represent viable solutions?
The points that represent viable solutions include the following:
B. (5, 3,000).
C. (20, 2200).
E. (10, 1,100).
How to graphically solve this system of equations?In order to graphically determine the viable solution for this system of equations on a coordinate plane, we would make use of an online graphing tool to plot the given system of quadratic equations while taking note of the point of intersection;
y = x² + 4x - 1 ......equation 1.
y + 3 = x ......equation 2.
Based on the graph shown (see attachment), we can logically deduce that the viable solutions for this system of quadratic equations is the point of intersection of each lines on the graph that represents them in quadrant I, which are represented by the following ordered pairs;
(5, 3,000).
(20, 2200).
(10, 1,100).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Identify the angle relationship:
Corresponding
Alternate Exterior
Alternate Interior
Consecutive Interior
Answer:
I believe the answer is alternate interior :^))
calculate the average value of f(x) = 8x sec2(x) on the interval [0, π/4].
The average value of f(x) = 8x sec^2(x) on the interval [0, π/4] is -4/3.
To find the average value of a function f(x) on an interval [a, b], we need to evaluate the definite integral of the function over that interval and divide it by the length of the interval.
The definite integral of f(x) = 8x sec^2(x) over the interval [0, π/4] is given by:
∫[0,π/4] 8x sec^2(x) dx
This integral can be evaluated by substitution. Let u = sec(x) and du = sec(x)tan(x)dxmthen the integral becomes:
∫[0,π/4] 8x sec^2(x) dx = ∫[1,sec(π/4)] 8xu^2du
= 8/3u^3 evaluated at u = sec(π/4) - 8/3u^3 evaluated at u = 1
= 8/3sec^3(π/4) - 8/3 = 8/3(1/cos^3(π/4)) - 8/3 = 8/3*(1/1/2) - 8/3 = 4/3 - 8/3 = -4/3
Thus, The average value of f(x) = 8x sec^2(x) on the interval [0, π/4] is -4/3.
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what is 77787874 times 77787874=
Answer:
77787874^2 or 77787874*77787874= 6.0509533e+15
Answer:6.0509533e+15
Step-by-step explanation:
Find the volume of a sphere that has a radius of 2 yards. Round to the nearest hundredth.
Volume =______cubic yards
It should be 33.49 sorry if I’m a little off!
according to statistics reported on cnbc, a surprising number of motor vehicles are not covered by insurance. sample results, consistent with the cnbc report, showed 46 out of 200 vehicles were not covered by insurance. Develop a 95% confidence interval for the population proportion
The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.
How to find the confidence interval for a population proportion?The confidence interval for a population proportion is calculated by the formula,
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
Where \(\bar{p}\) is the sample proportion and α is the level of significance.
Calculation:It is given that,
The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are
The sample size n = 200;
The number of successes = 46
So, the sample proportion \(\bar{p}\) = 46/200 = 0.23
For a 95% confidence interval, the level of significance is
α = 1 - 95/100 = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Then, the z-score for the value 0.025 is
\(z_{\alpha/2}\) = 1.96 (from the table)
Thus, the confidence interval is
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)
⇒ C.I = 0.23 ± 1.96 × 0.0298
⇒ C.I = 0.23 ± 0.0584
So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.
Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.
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PLS HELP ASAP! GIVING BRAINLIST
Answer:
8.48528137424
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
√72=8.48
6√2=8.48
25 % of what number is 5.
SHOW YOUR WORK!!!!
Answer:
The answer is 1.25
Step-by-step explanation:
5% of 25 = ?
5/100 × 25
1/20 × 25 = 25/20 = 5/4 = 1.25
Thus, 5% of 25 is 1.25
The angles of a triangle haves measures of x°, (2x +10)°, and (3x+20)°. What is the value of x?
The value of x in the triangle is: x = 25
What is the Sum of a Triangle Sum?The sum of the angles in a triangle is always 180 degrees. This means that if we add all the interior angles of any triangle, we will have a sum of 180 degrees..
So we can set up the following equation:
x + (2x + 10) + (3x + 20) = 180 [sum of a triangle]
Simplifying this equation by combining like terms, we get:
6x + 30 = 180
Subtracting 30 from both sides, we get:
6x = 150
Finally, dividing both sides by 6, we find that:
x = 25
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Answer:
x = 25
x = 25
x = 25
x = 25
x = 25
x = 25
x = 25
Please help I am failing this class!
Step-by-step explanation:
radius = 17 m
diameter = 34 m
circumference= 1814.92
plz mark my answer as brainlist plzzzz vote me also ... plzzzz ...... hope this helps you
help pls im dont know it
Answer and Step-by-step explanation:
Area of triangle:
A = \(\frac{bh}{2}\) (Base times height, all divided by 2)
Area of Rectangle/Square
A = bh (base times height)
Triangle:
\(\frac{7*24}{2} = \frac{168}{2} = 84\)
Rectangle:
A = 12.5 * 13 = 162.5
162.5 + 84 = 246.5
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