Given the expression;
\(6-(2-4x)\)Expanding the expression;
\(undefined\)Evaluate -7x + y5x
When x = -3, y = -9
Answer:
156
Step-by-step explanation:
-7(-3)+(-9)(5)(-3)
21+135
156
Answer:
156
Step-by-step explanation:
Substitute x and y values in the equation-7x+y5x
(-7)(-3)+(-9)*5*(-3)
21+135
156
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A particular disease is tested for and the results determine that it occurs in about 1 of every 750 Hispanic females and about 1 of every 138,000 non-Hispanic females 26,000 Hispanic females were to be tested, about how many of them would you expect to have this particular disease?
Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
Hispanic female;A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."
The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:
1 / 750 = 0.001333
This means that for every 750 Hispanic females, one is expected to have the disease.
To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:
0.001333 * 26,000 = 34.658
So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
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simplify -(2a -2) -(a + b)+(a-6+b)
Step-by-step explanation:
-2a-2-a-b+a-6+b
-2a-a+a-b+b-2-6
-2a+0-8
-2a-8
Answer:
-2a-8
Step-by-step explanation:
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just say something so that you can have my points :)
Answer:
thanks !!
Step-by-step explanation: have a wonderful day :)
Answer:
Thank you!!
Step-by-step explanation:
Have a great day:)
The electrical power. P. dissipated by a certain motor is directly proportional to the square of the voltage. V of thecircuit in the motor and inversely proportional to the resistance, R of the circuit in the motor. Which of thefollowing equations correctly states the relationship between the power voltage, and resistance in this motor?(Note: kis the constant of proportionality)
Step 1
State the general relationship between the electrical power, P, the voltage of the motor, V, and the resistance R from the question
\(\begin{gathered} P\propto V^2----\text{ the direct proportionality betw}een\text{ the power, P and the square of the voltage, V} \\ P\propto\frac{1}{R}---\text{the inverse relationship betw}een\text{ the power, P and the Resistance, R} \\ \text{Merging both yields} \\ P\propto V^2\propto\frac{1}{R} \\ P\propto\frac{V^2}{R} \\ \text{If k = constant of proportionality} \\ P=\frac{kV^2}{R} \end{gathered}\)Hence the equation that correctly states the relationship between the power, voltage, and resistance is
\(P=\frac{kV^2}{R}\)The demand equation for a popular brand of fruit drink is given by the equation:
Qx=10-5px+0.001M + 10Py
where:
Qx= monthly consumption per family in liters
Px= price perlite of the fruit drink =$2.00
M= median annual family income =$20,000
Py= price per liter of a competing brand of fruit drink = $2.50.
1. Interpret parameter estimates.
2. Calculate the monthly consumptioliterslitres) of the fruit.
3. Suppose that the median annual family income increased to ¢30,000. How does this change your answer to part (b)?
4. Determine the demand function and the inverse demand function.
Answer:
Parameter estimates
The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.
The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.
The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.
Step-by-step explanation:
To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,
Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)
Qx = 10 - 10 + 20 + 25
Qx = 45 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family is 45 liters.
If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,
Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)
Qx = 10 - 10 + 30 + 25
Qx = 55 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.
To determine the demand function, we need to solve for Qx in terms of the other variables,
Qx = 10 - 5Px + 0.001M + 10Py
Qx - 10Py = 10 - 5Px + 0.001M
Qx = (10 - 5Px + 0.001M) / 10Py
Therefore, the demand function is:
Qx = (10 - 5Px + 0.001M) / 10Py
To find the inverse demand function, we need to solve for Px in terms of Qx.
Qx = 10 - 5Px + 0.001M + 10Py
5Px = 10 - Qx - 0.001M - 10Py
Px = (10 - Qx - 0.001M - 10Py) / 5
Therefore, the inverse demand function is,
Px = (10 - Qx - 0.001M - 10Py) / 5
What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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Consider the graph of the function f(x)=log4(x-2)+2. What are the domain and the range of function f?
For the function f(x) = log4(x - 2) + 2, the domain is (2,∞) and range is (-∞,∞).
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The logarithmic function f(x) = log4(x - 2) + 2 is defined only for x-2 > 0, or equivalently, x > 2.
So, the domain of the function is all real numbers greater than 2, or -
Domain: x > 2
Now let's consider the range of the function.
The logarithmic function takes positive values for positive inputs, and it approaches negative infinity as x approaches zero from the right.
Since f(x) = log4(x-2) + 2, the function takes values greater than 2 when x is greater than 4, and it approaches 2 as x approaches 2 from the right.
So, the range of the function is -
Range: -∞ > f(x) > ∞
Therefore, the function has range and domain as (-∞,∞) and (2,∞) respectively.
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On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza?
Answer:
your answer should be 8.76 :D
Step-by-step explanation:
Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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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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Anna travelled 3 miles by bus, 5 miles by train, and the rest 7
miles by car. Find the percentage of distance travelled by her in
the train?
45.455% is the percentage of distance travelled by her in the train .
In math, what is a distance?
The length of the line segment connecting the two sites is used to measure distance between them.
The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.
Distance travelled by bus = 3 miles
Distance travelled by train = 5 miles
Distance travelled by car = 3 miles
Total distance travelled = 3 + 5 + 3 = 11 miles
the percentage of distance travelled by her in the train = 5/11 * 100
= 45.455%
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What is the degree of this monomial? 20x
Answer:
1
Step-by-step explanation:
(20 points)
Answer this and explain how you got the answer please and thank you
PLS HELP WITH BOTH ASAP WILL GIVE BRAINLIEST
Answer:
13) 25 and 17
14) cupcakes = $5
brownies = $3
Step-by-step explanation:
13) you can set this up as equations
so x + y = 42
x-y = 8
solve simultaneously by subtracting from each other
2y = 34
y= 17
if y = 17
42 - 17 = 25 = x
14) set up as equations again
Ben 7c + 10b = 65
franklin 7c +7b = 56
subtract from eachother
3b = 9
b = $3
7c + 10(3) = 65
7c = 35
c = $5
Answer:
First question = 2&8
Second question = Cupcakes 6.5 Brownies 8
Step-by-step explanation:
it says i got s.a wrong.
Answer:
Surface area is also 384.
Step-by-step explanation:
A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384
Find the perimeter for a rectangle that has an area of 2x^2+6x-8 and length of 2x-2. (Hint: First find the length)
A man earns RS.95 in a day how much does we earn in 18 days
Answer:
RS 17.10
Step-by-step explanation:
If they earn 0.95 a day, you can multiply that income by the number of days, which is 18.
RS 17.10
Help I need help with this now
The volume of the rectangular prism is 90 units³
We have,
The figure shown has the dimensions:
L = Length = 5 units
W = Width = 6 units
H = Height = 3 units
Now,
The volume of the rectangular prism.
= L x W x H
= 5 x 6 x 3
= 90 units³
Thus,
The volume of the rectangular prism is 90 units³
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Determine whether the given experiment has a sample space with equally likely outcomes.A loaded die is rolled, and the number appearing uppermost on the die is recorded.a) Yesb) No
No, the given experiment does not have a sample space with equally likely outcomes.
The term "loaded" means that the die is not fair, and certain numbers are more likely to appear than others. This means that the probabilities of each possible outcome are not equal, and therefore the sample space does not have equally likely outcomes. For example, if a die is loaded to favor rolling a 6, then the probability of rolling a 6 is higher than the probability of rolling any other number. Therefore, the sample space of this experiment is not uniform, and outcomes are not equally likely.
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2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
Answer:
x<=-1/2
Step-by-step explanation:
An inequality is a mathematical relationship that compares two unequal numbers using the number line
To solve the inequality 2x – 6 ≥ 6(x – 2) + 8
We first simplify both sides of the inequality
2x-6≥6x-12+8
2x-6≥6x-4
Add 6 to both sides
2x≥6x+2
-4x≥2
x≥2/-4
Sign changes when we divide both sides of equation by a negative sign
x<=-1/2
Therefore x is less than or equal to -1/2 on the number line
in a science experiment the intial temperature was 55 degrees faherheit
Answer:
Answer to your question ; f(t) = 55 = 4t
4 waiters can serve 250 dishes in 8 days by working 5 hours/day. for how many hours/day would 2 waiters have to work to serve 500 dishes in 20 days?
Answer:
8 hours/day is the answer.
For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay
Given statement solution is :- For the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.
Regular Pay:
Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:
Regular Pay = Regular Hours x Hourly Rate
Regular Pay = 40 hours x $11.90/hour
Regular Pay = $476
Overtime Pay:
Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.
Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)
Overtime Pay = 13 hours x ($11.90/hour x 1.5)
Overtime Pay = 13 hours x $17.85/hour
Overtime Pay = $231.45
Gross Pay:
Gross Pay is the sum of Regular Pay and Overtime Pay.
Gross Pay = Regular Pay + Overtime Pay
Gross Pay = $476 + $231.45
Gross Pay = $707.45
Therefore, for the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
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uck onto the tin has a height of 8 cm. 2.1 Calculate the area of sheet metal needed to make a soup tin. 2.2 Calculate the total surface area of the label. Use the formula: TSA = 2 × x radius x height where π = 3,142 2.3 Tins of butternut soup are tightly packed into boxes, with 4 tins fitting in the width of the box, and 5 tins fitting in the length of the box as shown in the diagrams. What are the dimensions (length and breadth) of the box? 7 4 1f thin box
The dimensions (length and breadth) of the box are 10r x 8r.
We are given that;
π = 3,142
Number of tins=4,5
Now,
To calculate the area of sheet metal needed to make a soup tin, we can use the formula for surface area of a cylinder which is given by:
Surface Area = 2πrh + 2πr^2
where r is the radius of the cylinder and h is the height of the cylinder.
Using the given values, we can calculate the surface area of the soup tin as follows:
Surface Area = 2π(4.5)(8) + 2π(4.5)^2 Surface Area = 226.08 cm^2
To calculate the total surface area of the label, we can use the formula for surface area of a cylinder which is given by:
Surface Area = 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
Using the given values, we can calculate the surface area of the label as follows:
Surface Area = 2π(4.5)(8) Surface Area = 226.08 cm^2
To find out the dimensions (length and breadth) of the box in which tins are packed, we can use the given information that 4 tins fit in the width of the box and 5 tins fit in the length of the box. Let’s assume that each tin has a diameter of d cm.
4d = width of box 5d = length of box
We know that diameter (d) = 2r where r is radius.
So, width of box = 4d = 8r length of box = 5d = 10r
Therefore, by the area the answer will be 10r x 8r.
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In 1980, the average price of a home in Lake County was $93,000. By 1985, the average price of a home was $118,000. Which of the following is a linear model for the price P of home in Lake County, in terms of the year t? Let t = 0 correspond to 1980.
[A] P=25,000t +93,000
[B] P=118,000-25,000t
[C] P = 5000t +93,000
[D] P=118,000-5000t
Answer: [C] P = 5000T + 93,000
Step-by-step explanation:
What is the difference quotient of the function g(x) = 4^x
Answer:
First choice
Step-by-step explanation:
The difference quotient in general is \(\frac{g(x+h)-g(x)}{h}\). To get an expression for \(g(x+h)\), replace x with x + h.
For this question,
\(\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}\)
Factor \(4^x\) out of the numerator.
\(\frac{4^x(4^h-1)}{h}\)
Answer:
The answer is A the first option
Step-by-step explanation:
Just took the unit review and got a 100
A stock price will rise if:
Supply of stock is greater than demand
The price-earnings ratio is 10 or greater
Stock yield is greater than 8%
Demand for stock is greater than supply
None of these
A stock price will rise if demand for stock is greater than supply. So, the correct answer is option (d).
What is Stock price ?The stock price or share price is the amount of money it costs to buy shares in a company. Stock prices are not fixed and fluctuate based on market conditions. It is likely to go up if the company is viewed as good, and it is likely to go down if the company is not performing as expected. If there are more people who want to buy a demand than sell (supply ) it, the stock price will go up. Conversely, if more people want to sell than buy stocks, there will be more supply than demand and prices will fall. Understanding supply and demand is easy.
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Complete question:
A Stock Price Will Rise If:
a) Supply Of Stock Is Greater Than Demand
b)The Price-Earnings Ratio Is 10 Or Greater
c)Stock Yield Is Greater Than 8%
d) Demand For Stock is Greater Than Supply
e) None Of These.
What is the area
Use 3.14 for pi
Round to the nearest hundredth
Answer: The answer is 120
Step-by-step explanation:
5x4x3=60 6x4x5+120 divided by 2= 60
60+60= 120
Solve the given initial-value problem by finding, as an appropriate integrating factor.
(x2 + y2 − 3) dx = (y + xy) dy, y(0) = 1
Answer:
hello attached below is the detailed solution
answer : In |x+1| + [2/(x+1)] + [1/(1+x)^2] - [y^2/2(1+x)^2] = 5/2
Step-by-step explanation:
Given
(x^2 + y^2 - 3) dx = ( y + xy ) dy, y(0) = 1
solving the given initial-value problem