The solution of the equation in terms of z will be; z = 2x - 8/y
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given the equation as;
2xy-yz=8
Now we have to solve for z;
2xy-yz=8
-yz = 8 - 2xy
Then divide by y on both sides;
z = 2xy/y - 8 / y
z = 2x - 8/y
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PLS HELP
What is the area of the triangle?
Answer:
B
Step-by-step explanation:
(base x height)/2 = (2.9 x 8.1)/2 = 11.7 cm^2
Answer:
B
Step-by-step explanation:
Use a calculator to work out (5.46 × 10−4)³ | (2.23 × 10−³) × (1.39 × 10−º) Give your answer in standard form to 3 significant figures.
The simplification of \((5.46 *10^4)^{3} + (2.23 * 10^-4) + (1.39 * 10^-6)\) in standard form to 3 significant figures is
How can the expression be simplified?Given that
\((5.46 *10^4)^{3} + (2.23 * 10^-4) + (1.39 * 10^-6)\)
\((5.46 *10^4)^{3} = (5.46 * 5.46 * 5.46) * (10^4 * 10^4 * 10^4)\\\\=1.61052936 * 10^14\)
Now we were able to calculate the first term, then we can join them to the second other terms as;
\(1.6105 * 10^{14} + (2.23 * 10^-4) + (1.39 * 10^-6)\)
=\(=1.93769 * 10^{-10}\)
\(=1.934* 10^{-10}\)
Therefore,the answer is been expressed into 3 significant figures.
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Check he correct and complete question
\((5.46 *10^4)^{3} + (2.23 * 10^-4) + (1.39 * 10^-6)\)
2^(2t)-12(2^(t))+32=0
Answer:
t = 2 and t = 3.
Step-by-step explanation:
To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:
2^t = 4Taking the logarithm base 2 of both sides:
t = log2(4)
t = 2For u = 8:
2^t = 8Taking the logarithm base 2 of both sides:
t = log2(8)
t = 3
The current yield on stock invested in Lynx Corporation is 4.2%. The dividend last year was $3.25 per share. What was the selling price of the stock?
Answer:
Step-by-step explanation:
77.38$
square?
i neeed 200000000 charaters reeeeeeeee
Answer:
31
Step-by-step explanation:
you do 6×3=18 then you do 18+7=25 last 25+17=42 then you add 2
Answer:
i dont know what ur saying but square would me x2 or somthing like that.
Correct answer please
Answer:
50.75
Step-by-step explanation:
We have:
\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)
\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)
Garnier's Opera House is a revival of the________style.
Romantic
Gothic
Renaissance
Baroque
Garnier's Opera House is a revival of the Gothic style.
What is Garnier's Opera House ?The Palais Garnier usually referred to as the Garnier Opera House is a renowned opera house in Paris, France. Charles Garnier, a French architect, created the design which was finished in 1875.
The opera house is well-known for its spectacular Beaux-Arts and Gothic-inspired architecture as well as for its extensive history and connections to some of the most well-known composers and performers of the 19th and 20th centuries.
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If x-a is a factor of the difference of powers of equal odd exponent of the form x\(^{n}\)-a\(^{n}\) the signs of the second factor are:
A.
All negative
B.
All positive
C.
Alternating +, -, + ...
Answer:
Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Both the first and second signs are negative,
Let α and β are the roots of the ,
then, we know that the relationship between the zeroes and coefficients of quadratic equations:
Since the product of roots is positive.
So, the signs of the factors will be one positive and one negative.
Hence, Option 'D' is correct.
Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.
5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.
Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.
To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.
The payment for raw materials purchases in July (35% of X pounds) will be:
0.35 * X pounds
The payment for raw materials purchases in August (65% of X pounds) will be:
0.65 * X pounds
Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
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Todd and Tim are exercising. Todd does 20 push-ups at the same time as Tim does 30 push-ups. When Todd does
40 push-ups, how many push-ups does Tim do?
Answer:
50 pushups.
Step-by-step explanation:
simple pattern of adding 10 each time.
Will give brainliest!!!
Answer: D
Step-by-step explanation:
We can solve for k by plugging in the x-intercept. We know that the x-intercept is 4, therefore the y is 0. The coordinates would be (4,0). Now that we have our x and y, we can plug in and solve for k.
4k+2(0)+8=0
4k+0+8=0
4k+8=0
4k=-8
k=-2
Malik read that the land area of Alaska is about 5.7x10
Answer:
the answer is 60
Step-by-step explanation:
first you need to round 5.7 to the nearest whole number
6
after that multiply by 10 and you've done it
60
graph y = 2/3x
this khan academy buulcrap >:(
Answer:
.__.
Step-by-step explanation:
Start from (0,0), go up 2 units, right 3 units. Repeat and there, you graphed it! Now pat yourself on the back and move on with your life :D
A vendor sells burgers and cookies. A customer buys 2 burgersand 2 cookies for $7.50. Another customer buys 4 burgers and 3 cookies for $13.75. Find the cost of each item.
Answer:
The burgers cost $2.50 and the cookies cost $1.25.
Step-by-step explanation:
Let b represent burgers and c represent cookies.
2b + 2c = 7.50
4b + 3c = 13.75
Step 1: Use one of the two equations and isolate one of the variables.
2b + 2c = 7.50
- 2c -2c
\(\frac{2}{2}\)b = \(\frac{7.50}{2}\) - \(\frac{2}{2}\)c
b = 3.75 - c
Step 2: Plug what you get for b into the second equation.
4(3.75 - c) + 3c = 13.75
15 - 4c + 3c = 13.75
15 - 1c = 13.75
Step 3: Isolate the variable and solve for c.
15 - 1c = 13.75
-15 -15
\(-\frac{1}{1}\)c = \(\frac{-1.25}{-1}\)
c = 1.25 ← price for cookies
Step 4: Plug in what you have for c into one of the previous equations and solve for b.
2b + 2(1.25) = 7.50
2b + 2.50 = 7.50
- 2.50 -2.50
\(\frac{2}{2}\)b = \(\frac{5}{2}\)
b = 2.50 ← price for burgers
Now you know the cost of each item:
The burgers cost $2.50 and the cookies cost $1.25.
Which of the following shows the factored form of x2 + 7x – 8?
Answer:
Step-by-step explanation:
Go to algebra calculator it will show the answer.
Answer:
(x-1) (x+8)
Step-by-step explanation:
If you factor this question out correctly, you would get the answer above.
What is another way to write the compound inequality y + 3 ≥ 2 and y + 3 ≤ 6 ?
Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer
How to write a compound inequality in another way?
An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4
Given: y + 3 ≥ 2 and y + 3 < 6
To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:
y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:
2 ≤ y+3 and y + 3 < 6
Combine the two:
2 ≤ y+3 < 6
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Find the equation of the hyperbola that has foci at (±3,0) and vertices at (±2,0).
The equation of the hyperbola with foci at (±3,0) and vertices at (±2,0) is\((x^2 / 4) - (y^2 / 5) = 1\).
To find the equation of a hyperbola, we need to determine its center, vertices, and foci. In this case, we can observe that the hyperbola is centered at the origin (0, 0) since the foci and vertices lie along the x-axis.
Let's denote the distance between the center and each focus as c, and the distance between the center and each vertex as a. In this scenario, the foci are located at (±3, 0), and the vertices are at (±2, 0).
From the given information, we can deduce that c = 3 and a = 2. Now, we can calculate the value of b using the relationship between a, b, and c in a hyperbola:
\(c^2 = a^2 + b^2\)
Plugging in the values, we have:
\(3^2 = 2^2 + b^2\\9 = 4 + b^2\\b^2 = 9 - 4\\b^2 = 5\)
Now we have all the necessary values to write the equation of the hyperbola. Since the foci lie on the x-axis and the center is at the origin, the equation of the hyperbola in standard form is:
\((x^2 / a^2) - (y^2 / b^2) = 1\)
Plugging in the values for a and b, we get:
\((x^2 / 2^2) - (y^2 / 5) = 1\\(x^2 / 4) - (y^2 / 5) = 1\)
Therefore, the equation of the hyperbola with foci at (±3,0) and vertices at (±2,0) is\((x^2 / 4) - (y^2 / 5) = 1\).
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PLEASE HELP will give brainly and 10 points Which inequality is represented by the number line graph?
Answer: A
Step-by-step explanation: The dot is a filled-in circle, meaning it has to be A, B, or E. Then, B is saying that the arrow is going left, so that's wrong. E is saying that it is just 6 instead of -6, which leaves us with A.
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An IV infiltrates with 330 mL remaining in the bag. It was restarted at 1015 at a rate of 30 mL/hr. What is the IV completion time?
Answer:
11 hours
Step-by-step explanation:
I came up with this answer by dividing the IV infiltrate in the bag by the rate. This gave the completion time.
Volume of IV infiltrate = 330ML
Rate at which it was running = 30 ML/hour
The IV completion time = volume/rate
= 330 ML/30 ML
= 11 hours
Therefore the IV completion time is 11 hours.
How to solve 18 - 1 and 7/16 - 7/12
Answer:
- 7/48, decimal form 0.145 and 17
Step-by-step explanation:
The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table. Hours after 8 am 1 3 4 6 9 Number of Customers 2 15 18 13 0 Which statement best describes the data?
The statement which best describes the data given is C) The data can be modeled by a quadratic function.
Given a data,
The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.
It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.
So this data cannot be modeled by a linear function or an exponential function.
Also since the number of customers arriving is not constant, this cannot be expressed as constant function.
So it is quadratic function.
Hence the correct option is c.
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5 is 10% of what number?
Betty is baking a cake that
calls for 2 cups of flour.
She has 3/8 of a cup
already measured out, how
much more does she need?
Answer:
She has 3/8 of a cup
Step-by-step explanation:
Answer:
turned out right, or would you convert it to metric values, ... the recipe calls for 2 cups of flour, you would need to convert to.
Imagefaculty.washington.edu › Fra...PDF
Step-by-step explanation:
make me as brain liest
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
HELP!!!Joe can type 40 words every 2 minutes. How many words can he type in 5 minutes?
Answer:100
Step-by-step explanation:
40+40 =80 +20=100
Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided
When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).
What are the quadratic functions?Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.
The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).
Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.
Hence, option (c) is the correct answer.
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The Jukes bought a refrigerator for $680. They had to pay 12% down and the remainder in 24 equal installments. How much money did they pay down?
Answer:
81.6$
Step-by-step explanation:
if 100% =$680
what about 12%
Answer:
81.6$
Step-by-step explanation:
in 1977, Pistol Pete Maravich led the NBA with 2273 points. In 2006, Kobe Bryant led the NBA with 2832 points. However, there were many differences between basketball in 1977 and basketball in 2006, including the number of teams and possibility of a three-point shot. The mean number of points for the top 110 players in 1977 was 1198 points with a standard deviation of 379 points. The mean nimber of yards for the top 150 players in 2006 was 1123 points with a standard deviation of 433 points. Who had the better performance, Maravich or Bryant? Explain your reasoning.
Using z-scores, it is found that due to the higher z-score, Bryant had the better performance.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It 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, which is the percentile of X.The above bullet point means that higher z-scores mean a better performance.For Maravich, we have that the parameters are \(X = 2273, \mu = 1198, \sigma = 379\), hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2273 - 1198}{379}\)
Z = 2.84.
For Bryant, we have that the parameters are \(X = 2832, \mu = 1123, \sigma = 433\), hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2832 - 1123}{433}\)
Z = 3.95.
Due to the higher z-score, Bryant had the better performance.
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f(x)=-3/4x+9 what are the steps for finding f^-1(x)
The inverse function \(f^{-1}(x)\) is such that
\(f\left(f^{-1}(x)\right) = x\)
If \(f(x)=-\frac34x+9\), then we have
\(f\left(f^{-1}(x)\right) = -\dfrac34f^{-1}(x)+9 = x\)
Solve for the inverse :
\(-\dfrac34f^{-1}(x)+9 = x \\\\ -\dfrac34f^{-1}(x) = x-9 \\\\ f^{-1}(x) = -\dfrac43(x-9) \\\\ \boxed{f^{-1}(x) = -\dfrac43x+12}\)
When entering a power, you can use a caret (SHIFT-6).
Enter
as w^5:
Use the fraction tool (fraction tool) to enter the numerator and denominator.
Enter
:
The power expression "w^5" can be entered as "w^5".
To represent a power using the caret symbol, follow these steps:
Start with the base variable or term, in this case, "w".
Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.
Immediately after the caret symbol, enter the exponent or power value, in this case, "5".
The resulting power expression "w^5" represents the variable "w" raised to the power of 5.
Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.
Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.
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