Find the value of this expression if x = 1 and
y=-7.
xy
-9
Answer:
the answer is 7/9............
given..
expression is x^2y/-9
value of x=1
value of y=-7
then.... putting value of x and y in the given equation...
we get .
={1^2*(-7)}/-9
={1*(-7)}/-9
=(-7)/-9
=7/9
Step-by-step explanation:
x²y/-9
1²(-7)/-9
-7/-9
7/9.
hope this helps you.
Help I’m failing math
Step-by-step explanation:
the answer is 72.70 cents
Answer: See explanation
Step-by-step explanation:
Markup is 39% of the cost.
Markup is what is added to the price to get the retail price.
39% × 72.72
0.39 × 72.72 = 28.3608
28.3608 ≈ 28. 36
Markup ≈ $28.36
Retail price is the price you get after you add the markup to the original price.
Retail price: Cost + Markup
Retail price: $72.72 + $28.36
Retail price = $101.08
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Solve the following inequality. Write the answer in interval notation. 3×+13≤8×+2
Answer:
[ 11/ 5 , ∞ )
Step-by-step explanation:
On 1 April mazibane has R540, 00 in his credit card account. He buys a lounge suit for R8300, 00 on credit. There is no interest on the debit amount for the first month. Thereafter the interest is 16% per year calculated daily but compounded monthly. On 1 June Mazibane pays R5000 into the account.
How much must Mazibane pay into the account on 30 June to have no debt in the account
According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.
How to calculate the amount Mazubane must pay on 30 June?To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.
Initial Debt:
On 1 April, Mazibane had a credit card debt of R8300.Interest Calculation:
The interest on the debt is 16% per year, calculated daily but compounded monthly. From 1 April to 1 June, a period of two months, there is no interest charged on the debt.Previous Payment:
On 1 June, Mazibane paid R5000 into the account.To determine the remaining debt on 1 June, we subtract the payment from the initial debt:
Remaining debt on 1 June = R8300 - R5000 = R3300.From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.
To calculate the interest for one month, we use the formula:
Interest = Principal x (1 + (rate/100))^(time/12) - Principal,where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).
Interest for one month = R3300 x (1 + (16/100)/12)^(1/12) - R3300.To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:
Total debt on 30 June = R3300 + Interest for one month.To have no debt on 30 June, Mazibane must pay the total debt amount:
Mazibane must pay R3300 + Interest for one month on 30 June.Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.
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The solution to 7(b-1)/b ≤0 is:
0
O 0
O 0>b≥1
O. 0≥b>1
The solution to the given inequality is b ≤ 1.
What are Inequalities?Inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥.
Given inequality expression is,
7 (b - 1) / b ≤ 0
(7b - 7) / b ≤ 0
(7b / b) - (7 / b) ≤ 0
7 - 7/b ≤ 0
Adding 7/b on both sides,
7 ≤ 7/b
Multiplying b on both sides,
7b ≤ 7
b ≤ 1
Hence the value of b is b ≤ 1.
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What is the constant of proportionality in the equation y=5/4x
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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The amount of mineral water consumed by a person per day on the job is normally distributedwith mean 19 ounces and standard deviation 5 ounces. A company supplies its employees with 2000 ounces ofmineral water daily. The company has 100 employees. Find the probability that the mineral water suppliedby the company will not satisfy the water demanded by its employees.
Answer:
0.0228 = 2.28% probability that the mineral water supplied by the company will not satisfy the water demanded by its employees.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
n values from a normal distribution:
The mean is \(\mu*n\) and the standard deviation is \(\sigma\sqrt{n}\)
Normally distributed with mean 19 ounces and standard deviation 5 ounces.
This means that \(\mu = 19, \sigma = 5\)
The company has 100 employees.
This means that for the mean consumption of all employees, we have that:
\(\mu = 19*100 = 1900\)
\(\sigma = 5\sqrt{100} = 50\)
Find the probability that the mineral water supplied by the company will not satisfy the water demanded by its employees.
Consumption higher than 2000 ounces, which is 1 subtracted by the pvalue of Z when X = 2000. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2000 - 1900}{50}\)
\(Z = 2\)
\(Z = 2\) has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that the mineral water supplied by the company will not satisfy the water demanded by its employees.
If M is a midpoint of line CD and MD = 27. Find the length of CD. (Hint: Draw a picture)
please please please please please please
Segments RA and NY are best described as which of the following?
A. Parallel segments
B. Perpendicular lines
C. Perpendicular segments
D. Perpendicular rays
Solve: x + 3 = -x + 7 (5 points)
Answer:
x = 2
Step-by-step explanation:
x + 3 = -x + 7
Add x to each side
x+x + 3 = -x+x + 7
2x+3 = 7
Subtract 3 from each side
2x = 7-3
2x = 4
Divide by 2
2x/2 = 4/2
x = 2
Answer:
X+3 = -x+7
-3. -3 subtract from each side
X. = -x+4
+× +x. Add to each side
2x. = 4
/2. /2 divide each side
X. =2
Solve by graphing. x2 + 2x – 3 = 0
By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.
To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.
First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.
We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.
1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:
0 = x^2 + 2x - 3.
This quadratic equation can be factored as (x + 3)(x - 1) = 0.
Therefore, x = -3 or x = 1.
2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.
3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).
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Marissa has a block of cheese that is a rectangular prism, with dimensions in inches (in.), as shown below.
Marissa cuts 3 inches off the length of the block of cheese. What is the volume of the piece of cheese Marissa removes?
The volume of the piece of cheese Marissa removes is 12 cubic inches if
Marissa cuts 3 inches off the length of the block of cheese.
What is volume?Volume is a measure of the amount of space that an object occupies in three-dimensional space.
In mathematics, volume is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic inches.
The volume of an object can be calculated by multiplying its length, width, and height (or depth), or by using other mathematical formulas depending on the shape of the object.
The original volume of the block of cheese is:
V1 = length x width x height = 8 in x 2 in x 2 in = 32 in³
When Marissa cuts 3 inches off the length, the new length becomes:
length - 3 in = 8 in - 3 in = 5 in
The new volume of cheese block is:
V2 = (length - 3 in) x width x height = 5 in x 2 in x 2 in = 20 in³
To find the volume of the piece of cheese Marissa removes, we need to subtract V2 from V1:
Volume of cheese removed = V1 - V2 = 32 in³ - 20 in³ = 12 in³
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RSM a pharmisest has a 18 percent alcohol sulution and a 40 percent alcohol sulution how much of each must he use to make 10 leaters of 20 persent alcohol sulution
Answer:
To make 10 liters of 20% alcohol solution, RSM would need to use a combination of the 18% and 40% alcohol solutions. Let's call the amount of 18% solution used "x" and the amount of 40% solution used "y".
To set up the equation, we'll use the fact that the amount of pure alcohol in the final solution must be equal to 20% of the total volume.
So:
0.18x + 0.40y = 0.20(10)
Simplifying:
0.18x + 0.40y = 2
We have one equation with two unknowns, which means we need another equation. Fortunately, we know that RSM is making a total of 10 liters of solution. So:
x + y = 10
We now have two equations with two unknowns, which we can solve simultaneously. One way to do this is to solve one equation for one variable, then substitute that expression into the other equation, like so:
x = 10 - y (from the second equation)
0.18(10-y) + 0.40y = 2 (substituting into the first equation)
1.8 - 0.18y + 0.40y = 2
0.22y = 0.2
y = 0.91
So RSM would need to use approximately 0.91 liters (or 910 milliliters) of the 40% solution, and the rest (9.09 liters or 9090 milliliters) of the 18% solution, to make 10 liters of 20% alcohol solution.
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
O Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input
To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.
Missing Information
The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.
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ASAP Compare the square root of one hundred thirty and one hundred eleven eighths using <, >, or =.
square root of one hundred thirty > one hundred eleven eighths
square root of one hundred thirty = one hundred eleven eighths
one hundred eleven eighths > square root of one hundred thirty
one hundred eleven eighths < square root of one hundred thirty
The square root of one hundred thirty and one hundred eleven eighths using <, >, or =.
The square root of 130 is 11.401 and the square root of 111.8 is 10.573.
Therefore, √130 > √111.8
or 11.401 > 10.573.
Hence, the square root of one hundred thirty > one hundred eleven eighths.
What is a square root?
The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2.However, the square root of a number is typically only expressed as the positive value.The square root of a number gives the original number when the number is multiplied by itself.The square root is the inverse of squaring, that is √x = y or x² = y.The symbol square root is denoted by √ .To learn more about square root, visit:
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given the function f(x)= 3^ - 2 what is the value of f (3)
Mayumi plans to buy pencils and a notebook at the school store. A pencil costs $0.15, and a The notebook costs $1.59. Mayumi has $5.00. Which inequality could she use to find the number of pencils she can buy? in equation please
Answer: 0.15p+1.59n ≤ 5.00
Step-by-step explanation:
Given: A pencil costs $0.15, and a The notebook costs $1.59.
Let p = Number of pencils.
n = Number of notebooks.
Total cost of pencil and notebook = 0.15p+1.59n
Since Mayumi has $5.00.
So, Total cost of pencil and notebook ≤ $5.00
⇒ 0.15p+1.59n ≤ 5.00
Hence, the required inequality: 0.15p+1.59n ≤ 5.00
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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4,7,14,49, next number is what
How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?
Answer: 51
Step-by-step explanation:
2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.
4 pentagons have 20 sides because a pentagon has 5 sides. So, 4x5=20.
5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.
In all, 16+20+15= 51
6. What is the area of a rectangular floor that is 7-3" long
and 4-2” wide?
The area of the rectangle will be 4350 Inches squared.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular floor is 7-3" long and 4-2” wide. Here 7 ft 3 in = 87 in. 4ft 2 in = 50 in.
The area of the rectangle is calculated by using the formula below:-
Area = Length x Width
Area = 87 x 50
Area = 4350 Inches
Therefore, the area of the rectangle will be 4350 Inches squared.
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Determine the period of this Function.
Answer:
4p
Step-by-step explanation:
The period is basically the difference in x from one "peak" to the other "peak".
The peaks are the highest points of a sinosodial function, and the figure them out, use the formula:
\(|peak_1-peak_2|=period\)
We know the first peak is at about x=0\(\pi\)
We know the second peak is at about x=4\(\pi\)
So plugging this in:
\(|0-4\pi |=4\pi\)
So the period is \(4\pi\)
I am assuming "p" stands for \(\pi\), so the answer should be 4p.
There are other ways to find the period, for instance if you are given a sinusodial function in writing instead of a graph.
Here is an example:
5sin(5x+2)+3
If we want to find period, we need to find what we call "b"
b is the number in front of x, which we can identify as bx, which in this case is 5x above.
Now what do we do with this "b"?
This is the value we need to find our period.
If you know b, you can use this formula to find the period:
\(\frac{2\pi }{b}=p\)
And when we plug in b:
\(\frac{2\pi }{5}\)
=
1.257, which would be your period.
THis can also be reworked so that you can find b:
If the formula for period is \(\frac{2\pi }{b}=p\), then the opposite formula would be \(\frac{2\pi }{ p}=b\)
And when you plug the period you have in:
\(\frac{2\pi }{1.257}\)
=
5
Anyway, your answer is 4p.
Hope this helps!
9x-3>5x+17
How would i solve this step by step
Answer:
x > 5
Step-by-step explanation:
add 3 to both sides
9x-3>5x+17
+3 +3
9x>5x+17+3
Simplify
9x > 5x + 20
Subtract 5x from both sides
9x > 5x + 20
-5x -5x
= x = 5
Hope This Helped
y> 3x +3
1
yer - 2
트로
Answer:
Is this in a different language?
Step-by-step explanation:ok:)
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scaled triangle will be larger than the initial size by a factor 2.
The scaled square will be smaller than the initial side by a factor 4.
What is dilation?Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.
Dilation involves scaling an object by a certain factor, that might result in enlarging or reducing its dimensions uniformly in all directions.
Based on the given diagram, the new length and size of the object is calculated as follows;
For the triangle, (measure the length with ruler)
new lengths = 2 times the original lengthoriginal length = 2 cm, new length = 4 cmthe new size of the triangle will increase by a factor 2For the square; (measure the length with ruler)
new lengths = 0.25 times the original lengthoriginal length = 4 cm, new length = 2 cmthe new size of the square will decrease by a factor 4Learn more about dilation here: brainly.com/question/20482938
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A firm makes two products X and Y, and has a total production capacity of 9 tones per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company. Each tone of X requires 20 machine hours of production time and each tone of Y requires 50 machine hours of production time. The daily maximum possible number of machine hour is 360. All the firm’s output can be sold, and the profit made is birr 80 per tone of X and birr 20 per tone of Y. it is required to determine the production schedule for maximum profit.
The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960
How to solve Linear Programming problems?We are told that two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity
The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.
Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;
x + y ≤ 9
x ≥ 2
y ≥ 3
Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;
20x + 50y ≤ 360
Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;
Z = 80x + 120y maximize
The solution from the graph attached is;
x = 3, y = 6
Thus, the maximum profit is;
Z = 80(3) + 120(6)
Z = 960
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If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is y = 2.1 + 0.28x, then the best prediction for the GPA of students who never go to the lab 2.1.TrueFalse
The statement is False.
If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is
y = 2.1 + 0.28x
If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.
A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.
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Given the circle below with secants PQR and TSR, find the length of PQ. round to the nearest tenth if necessary
Answer:
PQ ≈ 20.5
Step-by-step explanation:
The product of lengths from R to the intersection points with the circle is the same for each secant:
RS×RT = RQ×RP
40(40 +31) = (44)(PQ +44)
40(71)/44 = PQ +44
PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11
PQ ≈ 20.5
Fresh Fruits sells 10 lemons for $2.50. What is the price for 1 lemon
Answer:
25 cents per lemon
Step-by-step explanation:
Simply divide
Answer:
See below
Step-by-step explanation:
When solving real world problems relating to unit price, divide the cost by the amount.
2.5/10
The unit price is 0.25.
-hope it helps