Answer: y= 8295
Step-by-step explanation:
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The table below shows the cost of a pizza based on the number of toppings. (attached)
Which function represents the cost of a pizza with n toppings?
C(n) = 12 + n
C(n) = 1.5n + 12
C(n) = 12 + 1.5(n – 1)
C(n) = 12n
Answer:
C(n) = 12 + 1.5(n – 1)
Step-by-step explanation:
1. The angle of elevation from a point 116 meters from the base of the Eiffel Tower to the top of the Tower is 67". Find the approximate height of the tower.
If the function yr ya - 31 is a linear function, what is the value of a?
ANSWER:
A. 1
STEP-BY-STEP EXPLANATION:
A linear function is a polynomial function of the first degree, that is, a function of a variable, which can be written as follows:
\(y=mx+b\)Therefore, the correct answer would be:
\(\begin{gathered} y=x^1-31 \\ y=x-31 \end{gathered}\)You have saved $15,000 for a down payment. What is the max you can spend
(max house price)?
The maximum house price you can afford based on current Interest rates and loan terms.
The maximum house price you can afford based on your down payment, you need to consider the down payment percentage required by lenders and the maximum debt-to-income ratio typically accepted by lenders. Let's assume a down payment percentage of 20% and a maximum debt-to-income ratio of 36%.
1. Calculate the maximum loan amount:
Loan amount = Down payment / Down payment percentage
Loan amount = $15,000 / 0.20
Loan amount = $75,000
2. Calculate the maximum total monthly debt payments:
Maximum monthly debt payments = Monthly income * Debt-to-income ratio
Let's assume a conservative debt-to-income ratio of 36%.
If you have specific monthly income information, substitute it in the calculation. For example, if your monthly income is $5,000:
Maximum monthly debt payments = $5,000 * 0.36
Maximum monthly debt payments = $1,800
3. Determine the maximum monthly mortgage payment:
The maximum monthly mortgage payment is typically around 28% of your monthly income. Assuming the same monthly income of $5,000:
Maximum monthly mortgage payment = $5,000 * 0.28
Maximum monthly mortgage payment = $1,400
4. Calculate the maximum loan term and interest rate:
The loan term and interest rate will affect the maximum loan amount. The longer the term or the higher the interest rate, the lower the maximum loan amount.
Once you have these values, you can use an online mortgage calculator or consult with a lender to determine the maximum house price you can afford based on current interest rates and loan terms.the calculations provided are based on general assumptions and may not reflect specific loan programs or individual financial circumstances. It's important to consult with a financial advisor or mortgage professional for a more accurate assessment of your financial situation and to explore all available options.
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A peach orchard owner wants to maximize the amount of peaches produced by his orchard.
He cannot simply plant as many trees as he can, since planting more trees will decrease the amount of fruit that each tree produces (the yield of each tree).
He has found that the per-tree yield can be described by the equation
Y = 1200 - 15 x.
Here Y is the yield per tree and x is the number of trees planted per acre.
For example, if there were 10 trees planted per acre, each tree would produce 1200 - 15 * 10 = 1050 peaches.
Find the number of trees per acre that should be planted in order to produce the maximum crop and the resulting total yield.
Number of trees per acre : trees per acre
Total yield : peaches per acre
To maximize the amount of peaches produced by the orchard, the peach orchard owner should plant a certain number of trees per acre. The per-tree yield is given by the equation Y = 1200 - 15x, where Y represents the yield per tree and x represents the number of trees planted per acre.
To find the number of trees per acre that maximizes the crop yield, we need to determine the value of x that corresponds to the vertex of the equation. The vertex of a downward-opening parabola, represented by the given equation, occurs at the x-coordinate given by x = -b / (2a).
In this case, the coefficient of x is -15 and the constant term is 0, so b = 0 and a = -15. Substituting these values into the formula, we get x = -0 / (2 * -15) = 0.
While the mathematical calculation suggests that planting zero trees per acre would maximize the yield, this result is not practical. Therefore, the closest feasible value greater than zero would be 1 tree per acre.
For 1 tree per acre, substituting x = 1 into the equation, we find that each tree would produce a yield of Y = 1200 - 15 * 1 = 1185 peaches. Consequently, the resulting total yield would be 1185 peaches per acre.
Number of trees per acre: 1 tree per acre
Total yield: 1185 peaches per acre
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One year of classes at the University of Texas in Brownsville costs $15,000. Mariano has received a grant that will pay $800 and a scholarship for $1,700. He wants to get a job to pay 20% of the remainder of the costs and hopes to get a loan to cover the rest of the costs for one year.
How much does he need to earn on his job? (Hint: 20% of the remaining balance)
The amount Mariano must make from his job is
$2,500 ($12,500 * 0.2) = $2500.
A number can be divided by five or multiplied by 0.2 to determine 20% of that amount.
Mariano, for instance, would have to pay $12,500 ($15,000 - $800 - $1,700)
if he had to pay $15,000 for a year of classes at the University of Texas at Brownsville but had also been awarded a grant for $800 and a scholarship for $1,700.
We can divide $12,500 by 5 or multiply it by 0.2 to calculate how much he must make from his employment to cover 20% of the remaining expenses.
The amount Mariano must make from his job is
$2,500 ($12,500 * 0.2) = $2500.
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S • 41. If US$ 1 is equivalent to $ 47.50, the value of US$7 in Jamaican currency is?
Answer:
your anwser is 1085
Step-by-step explanation:
Polynomial and Other Equations Evaluate √b² - 4ac for the given values of a, b, and c, and simplify. a = 4, b = -2, and c = 7
Select one: a. 3i√6 b. 6√3
c.-6√3 d. 6i√3
We are given values for the coefficients a, b, and c in a quadratic equation, and we need to evaluate the expression √(b² - 4ac) and simplify it. The given values are a = 4, b = -2, and c = 7. We need to select the correct simplified form of the expression from the given options: a. 3i√6, b. 6√3, c. -6√3, d. 6i√3.
To evaluate √(b² - 4ac), we substitute the given values a = 4, b = -2, and c = 7 into the expression. We get √((-2)² - 4 * 4 * 7), which simplifies to √(4 - 112), further simplifying to √(-108).
Now, we can simplify the expression √(-108). Since -108 is negative, we can write it as -1 * 108. Taking the square root, we have √(-1 * 108), which simplifies to √(-1) * √(108). The square root of -1 is denoted as i (the imaginary unit). Therefore, the expression becomes i * √(108).
Further simplifying, we have i * √(36 * 3), which can be written as i * √(36) * √(3). The square root of 36 is 6, so the expression becomes 6i * √(3).
Therefore, the correct simplified form of √(b² - 4ac) for the given values of a = 4, b = -2, and c = 7 is d. 6i√3.
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Two fair dice are rolled 3 times and the sums of the numbers that come up is recorded. Find the probability of these events. A) the sum 10 on each of the three rolls? B) the sum is 10 exactly twice in three rolls?
Answer:
A) P(10 on three rolls) = 1/1728 = 0.0005787
B) P(10 in two of three rolls) = 11/1728 = 0.0063657
Step-by-step explanation:
Each die has 6 possible values, so a pair of dice have a total of 6*6=36 outcomes.
To find a sum of 10, the cases are:
(4,6), (5,5) and (6,4).
So to have a sum of 10 we have 3 cases among the 36 possible, therefore the probability is:
P(10) = 3/36 = 1/12
A)
If we want the sum of 10 in each of the three rolls, the probability is:
P(10 on three rolls) = P(10)^3 = (1/12)^3 = 1/1728 = 0.0005787
B)
If the sum is 10 in two of three rolls, in one roll we need the probability of the sum not being 10:
P(not 10) = 1 - P(10) = 1 - (1/12) = 11/12
So we have:
P(10 in two of three rolls) = P(10)^2 * P(not 10) = (1/12)^2 * (11/12)
P(10 in two of three rolls) = 11/1728 = 0.0063657
In a college there are 16 times as many students as professors. If together the students and professors number 42,500, how many students are there in the collego?The number of students in the college is
Let the number of professors be x.
If there are 16 times as many students as professors, then the number of students will be:
\(x\times16=16x\)If the number of students and professors is 42,500, then we have that:
\(\begin{gathered} x+16x=42500 \\ 17x=42500 \end{gathered}\)Solving by dividing both sides by 17, we have:
\(\begin{gathered} x=\frac{42500}{17} \\ x=2500 \end{gathered}\)Hence, we can calculate the number of students in the college to be:
\(\Rightarrow2500\times16=40000\)Therefore, there are 40,000 students in the college.
19. Brian ate 0.75 of a pie. Tell what part of the pie was left over. Write the answer as
a decimal and as a fraction.
Answer:
.25 and 1/4
Step-by-step explanation:
1 - .75 = .25
.25 = 1/4
How often does the line y=1 intersect the graph?
two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. one of the blocks, with a mass of 4.5 kgkg accelerates downward at 34g34g.
The block with a mass of 4.5 kg accelerates downward at 34g.
What is the acceleration of the 4.5 kg block in terms of g?The 4.5 kg block attached to one end of the rope is experiencing an acceleration of 34g, where g represents the acceleration due to gravity. This means that the block's acceleration is 34 times the acceleration due to gravity.
In terms of g, the acceleration of the 4.5 kg block is 34g. This implies that the block is accelerating downward at a rate of 34 times the acceleration due to gravity.
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one number is 9 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 1068, find the numbers
One number is multiple times the principal number. The numbers are 93, 837 and 193.
Given, one number is multiple times a first number.
A third number is 100 a greater number of than the primary number.
The amount of the three numbers is 1123,
We really want to track down the numbers.
allow the principal second and third numbers to be a, b, c respectively
According to given information, b = 9a - - - - (1)
c = 100 + a - - - - (2)
a + b + c = 1123 - - - - - (3)
presently substitute (1) and (2) in (3)
a + 9a + 100 + a = 1123
11a + 100 = 1123
11a = 1123 - 100
11a = 1023
a = 93
presently substitute a value in (1) and (2)
b = 9 x 93 = 837
c = 100 + 93 = 193
thus, the numbers are 93, 837, 193.
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Bookwork code: M74
Calculator
not allowed
Copy and complete this sentence:
The shaded region is less / more than 3 m from P/Q and closer to
to P than to Q/ to Q than to P
P.
3m
*Q
Scroll down
The shaded region is more than 3 m from P and closer to Q than to P.
As see in the image:
Point Q is 3 m far form the shaded region.
The shaded region more than 3 m from P and closer to Q than to P.
Therefore, the shaded region is close to Q.
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Choices are 152
124
60
65
45
90
Please help ill give BRAINLIST
Answer:
A and B is the correct answer
Step-by-step explanation:
What number makes the equation true?
24 =[ ] x 6
The answer is 4 .
Step-by-step explanation:
6 x 4 is 24
Answer: 4
Step-by-step explanation:
6 times 4 equals 24 and to make sure you know that's correct you can divide 24 and 6, and that equals 4 so you know that's your answer.
Hope This Helps!
what is the population being studied warts
The average population being studied is people with warts. Specifically, this population includes individuals of all ages who have been diagnosed with any type of wart caused by a virus, such as common warts, plantar warts, and flat warts.
The population being studied is people with warts. Warts are caused by a virus and can occur anywhere on the body. Common warts, plantar warts, and flat warts are the most common types. Common warts are usually found on the hands and fingers, and are usually round and raised. Plantar warts are found on the soles of the feet and can be painful. Flat warts are usually found on the face, arms, and legs, and are generally flat and smooth. People of all ages can be affected by warts, and they are highly contagious and can be spread through contact with an infected person or surface. Treatment options include over-the-counter medicines and prescription medications, as well as cryotherapy and laser treatments. This population is being studied to better understand the causes, risk factors, and treatments for warts.
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The complete question is
what is the population being studied warts and the prevalence of warts in the population being studied?
What fraction is equivalent - (7/8)
Answer:
21/24 , 28/32
Step-by-step explanation:
common denominator
Molly jogged at a rate of 6 mph, what was her speed in feet per second?
Answer:
8.8 feet per second
Step-by-step explanation:
1 mile = 5280 feet
3600 seconds = 1 hour
6 mph = 5280(6)/3600 = 528/60 8.8 feet per second
Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.
6x + y = 4
x - 4y = 19
The estimated solution is
The algebraic solution is
V : 33= 7 : 11 what is the answer to this please
The value of V illustrated in the ratio V : 33= 7 : 11 is 21.
What is a ratio?It should be noted that a ratio is simply used to show the relationship between the variables and illustrate the comparison.
In this case, the value of V can be illustrated as:.
V/33 = 7/11
Cross multiply
11V = 33 × 7
V = (33 × 7) / 11
V = 21
Therefore, V is 21.
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Express the confidence interval 0.039
A. 0.259+0.22The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.
This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.
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Copy and Run the code. 2. Solve the system of equation and grapg the system in 2-variables and interpret result.
4r−2s=9
2r−s=3
3. Solve the system of Equations. Interpret the result.
w
1
−3w
2
+4w
3
=9
4w
1
+3w
2
−5w
3
=7
w
1
+6w
2
−2w
3
=−5
1 \%\%EXERCISE 1: Copy and paste the given code and run the program \%EXERCISE 2. Using the codes from the given example perform the inidated operations, graph the equations, and using the indicated variables: \%Set the equations as Eq1 and Eq2, respectively \%Solve the system of equation and set the results as r1 and s1 \%Graph the equations \%Check if there is a solution. Set the text display as text3 \%EXERCISE 3. Using the codes from the given example perform the inidated operations and using the indicated variables: %$ olve for the roots and set the results as w
−
1,w
−
2 and w
−
3 set the text display ast text4
The solution of the given system of equations is consistent and independent.
Here is the solution to the given system of equations in 2 variables:
Given system of equations are:
4r - 2s = 9 ...(1)
2r - s = 3 ...(2
)We have to solve the above system of equations and graph them in 2 variables.
Let's solve the above system of equations as follows:
From equation (2), we get:s = 2r - 3
Substituting the value of s in equation (1), we get:
4r - 2(2r - 3) = 94r - 4r + 6
= 9
=> 0r = 9 - 6
=> r = 3/2
Substituting the value of r in equation (2), we get:s = 2(3/2) - 3
=> s = 0
So, the solutions for the given system of equations are:
r = 3/2 and s = 0
The graph of the given system of equations is shown below:
Interpretation: We can see from the graph that the two lines intersect at the point (3/2, 0). This is the unique solution for the given system of equations.
Therefore, the solution of the given system of equations is consistent and independent.
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Which inequality describes all the solutions to 4 X - 8 ≥ 20
Answer:
Inequality Form:
X ≥ 7
Interval Notation:
[ 7 , ∞ )
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
X ≥ 7
Interval Notation:
[ 7 , ∞ )
i think its this
pls helpT-T
(3rd periodical test in mathematics)
where are u from and why u need thes answer
how can relative frequencies be used to help us estimate porbailities occuring in sampling distriubution
Relative frequencies can be used to estimate probabilities occurring in a sampling distribution through the concept of the Law of Large Numbers.
Define the event of interest Determine the specific event or outgrowth for which you want to estimate the probability in the slice distribution. Conduct repeated trials Perform a large number of independent trials or compliances. Each trial should be done under the same conditions. Count circumstances Record the number of times the event of interest occurs within the total number of trials.
Calculate relative frequence Divide the count of circumstances by the total number of trials to gain the relative frequence. This represents the proportion of times the event of interest passed relative to the total number of trials. reprise way 2- 4 Repeat the process of conducting trials, counting circumstances, and calculating relative frequentness multiple times. The further trials you perform, the more accurate your estimates will come.
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Find the optimal values of x and y using the graphical solution method: Min x + y subject to: x + y ≥ 7 5x + 2y ≥ 20 x ≥ 0, y ≥ 0.
The optimal values of x and y that minimize the objective-function x + y, subject to the given constraints, are x = 4 and y = 0.
We can find the corner points of the feasible region and evaluate the objective function at those points to determine the optimal solution.
Graph the constraints:
Start by graphing the inequalities:
x + y ≥ 7
5x + 2y ≥ 20
x ≥ 0
y ≥ 0
Plot the lines x + y = 7 and 5x + 2y = 20. To graph x + y = 7, plot two points that satisfy the equation, such as (0, 7) and (7, 0), and draw a line through them. To graph 5x + 2y = 20, plot two points such as (0, 10) and (4, 0), and draw a line through them.
Shade the region that satisfies the inequalities x ≥ 0 and y ≥ 0.
The feasible region will be the shaded region.
Identify the feasible region:
The feasible region is the shaded region where all the constraints are satisfied. In this case, the feasible region will be a polygon bounded by the lines x + y = 7, 5x + 2y = 20, x = 0, and y = 0.
Find the corner points:
Locate the intersection points of the lines and the axes within the feasible region. These are the corner points. In this case, we have the following corner points:
Intersection of x + y = 7 and x = 0: (0, 7)
Intersection of x + y = 7 and y = 0: (7, 0)
Intersection of 5x + 2y = 20 and x = 0: (0, 10)
Intersection of 5x + 2y = 20 and y = 0: (4, 0)
Evaluate the objective function:
Evaluate the objective function, which is x + y, at each corner point:
(0, 7): x + y = 0 + 7 = 7
(7, 0): x + y = 7 + 0 = 7
(0, 10): x + y = 0 + 10 = 10
(4, 0): x + y = 4 + 0 = 4
Determine the optimal solution:
The optimal solution is the corner point that minimizes the objective function (x + y). In this case, the optimal solution is (4, 0) because it has the smallest objective function value of 4.
Therefore, the optimal values of x and y that minimize the objective function x + y, subject to the given constraints, are x = 4 and y = 0.
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solve for n:
4n-40=7(-2n+2)
Step-by-step explanation:
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