Complete the factored form of the algebraic expression
18a + 3 = 3 ( + )
Answer: 0
Step-by-step explanation: 18a + 3 = 3
-3 -3
--------------
18a = 0 you can't divide 18 and zero it would be 0
Answer:
So to factorize an expression, you put it into a form where if you expanded the brackets, you'd get the given expression.. if that makes sense. Therefore, you need to multiply the 3 by something to get 18a, and so the first term is 6a. You don't need to multiply 3 by anything to get 3, so the second term is 1. The final result looks like this :
3(6a + 1)
Step-by-step explanation:
*Credit to baabaagreysheep*
have a nice weekend
Dr.Osborne has scheduled Anita Blanchette for a spirometry test and wants you to telephone her the day before the test to prepare her so that optimal results are obtained.
1.) What information do you give Anita before her spirometry so that the best test results can be obtained?
2.) How would you explain the rationale for the performance of this procedure?
To ensure the best test results, Anita should be provided with the following information before her spirometry:
1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.
2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.
3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.
4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.
The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.
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HELP PLZ!
proerties of Transformations
In the pre-image of the parallelogram, the slope of AD is
--3 and the slope of BC is -3. The image is translated
down 7 units and then reflected over the y-axis,
The slope of A"D" is
The slope of B"C"is
What can you determine about the line segments A"D"
and B"C"?
A"
D"
Answer:
1... 3
2...3
3...parallel
Step-by-step explanation:
Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix? $
Answer:
$24
Step-by-step explanation:
Cranberries needed: 1 pound
Cost of 1 pound = $4
Almonds needed: 4 pound
Cost of 1 pound = $5
4 x 5 = $20
20 + 4 = $24
Answer:
4.80
Step-by-step explanation:
I'm begging you please help me!!! Thank you! ♡
out of 150 coins, 90 are quarters. of the remaining coins, 40% are nickels and the rest are dimes and pennies. there are 5 dimes for every penny. how many pennies are there?
There are 6 pennies in a total of 150 coins.
Given that,
Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.
and also,
For every penny, there are five dime.
Total = 150 coins
Out of it, 90 are quarters so the remaining coins are 60
It is said that,
In that 60 coins 40% are nickels which means
40% of 60 is 24
So remaining coins are 36 (by subtracting 24 from 60)
It is said that there are 5 dimes for every penny which means
Using Algebra,
x + 5x = 36
6x= 36
x= 6
Therefore, there are 6 pennies in a total of 150 coins.
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how to I write a one solution function??
Question 5 Use the rules of differentiation to find the derivative of the function y (6x + 1)5 + 30x(6x + 1)ª (6x + 1)² (36x + 1) 1 X 6 No correct answer provided. = X x(6x + 1)5.
The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴
To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.
For the first term x, the derivative is simply 1.
For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.
Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.
For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.
Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.
Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.
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Complete question:
Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵
(6x + 1)⁵ + 30x(6x + 1)⁴
(6x + 1)⁴ (36x + 1)
x-1/6
No correct answer provided.
Find the HCF of
x^2y and x
The highest common factor of \(x^2 y\) and \(x\) is \(\boxed{x}\)
evaluate the expression when x= -3 x/3 + 5x -7
Answer: -23
Step-by-step explanation:
Essentially this question is asking you what happens if x = -3 in the equation. If you were to plug x = - 3 you would get:
(-3)/3 + 5(-3) -7
= -1 + -15 - 7
= -23
What is the value of each angle and side of the triangle
x=13, no idea what y is.
Suppose there are 12-year cicadas and that cicadas have predatorswith 2-year cycles. How often would 12-year cicadas face theirpredators? Would life be better for 13-year cicadas than for12-year cicadas? Explain.
Imagine a bunch of 12-year cicadas along with some 13-year cicadas. Assume this is the exact moment where predators are around.
Both groups face predators no matter their age. For the next cycle, 13-years cicadas will be 15, and 12-years cicadas will be 14 and they will face predators just the same.
So, once they are grown-up cicadas, they face the dangers in the same way at the same frequency.
Now analyze their whole lifetime. Today a new cicada was born and the next cycle of predators will be 2 years from now. Next year a new cicada will be born and the next cycle is only one year ahead.
This means that the next cycle of predators finds the older cicada for the first time and also for the new cicada. And for the rest of their lifetimes, no relative advantage is found for either of them, with the possible exception that older cicadas may be more prepared to avoid the danger.
So my best answer is NO.
help plzzz i need someone to help me with this
Answer:
I think the answer to the question is C
Answer:
A
Step-by-step explanation:
The sign means that x is smaller than 3. There is no need for the line underneath since the dot is not filled in.
what is the value of the following expression tan (-5pi/6)
The value of the expression tan(-5π/6) can be determined using trigonometric properties and identities.
First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.
The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.
In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.
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A store pays $147 for a skateboard. If the store marks it up 75%, then marks it down 22%. What is the new cost
Answer:
$200.65
Step-by-step explanation:
If they bought it for 147 then marked it up 75% you would do
$147+75% = 257.25
THEN they mark down
257.25 - 22% = $200.255 which would be
$200.25 orrr $200.26
How many vertices have odd degree in the graph that models the bridges in the map?
A. 2 B. 3 C. 4 D. 5
The answer to the question is option A: 2 vertices have an odd degree.
To answer this question, we need to first understand what vertices and odd degrees mean in graph theory. A vertex is a point in the graph, and degree refers to the number of edges that are connected to that vertex. An odd degree means that a vertex is connected to an odd number of edges.
Looking at the map of bridges, we can see that there are several vertices where the bridges intersect. To determine the odd degree of each vertex, we need to count the number of bridges that intersect at that point.
Starting at the top left corner of the map, we can count the number of bridges that intersect at each vertex. The first vertex has three bridges connected to it, so its degree is odd. The same is true for the second vertex, which also has three bridges connected to it. Moving down the map, the third and fourth vertices both have two bridges connected to them, making their degrees even. Finally, the fifth vertex has three bridges connected to it, giving it an odd degree.
So, the answer to the question is option A: 2 vertices have an odd degree. It's important to note that in a graph, the sum of the degrees of all vertices must be even, so the fact that there are only two vertices with odd degrees tells us that there must be an even number of vertices with even degrees.
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what is the distance in feet from base of ladder to base of the house?
The distance from the base of the ladder to the base of the house is 12 feet.
Based on the given information, we know that the ladder is 15 feet long and that it is placed 6 feet away from the house. To find the distance in feet from the base of the ladder to the base of the house, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse (the longest side).
In this case, the ladder is the hypotenuse, and the two shorter sides are the distance from the house to the base of the ladder (which we want to find) and the distance from the top of the ladder to the house (which is 9 feet, since the ladder is 15 feet long and the bottom 6 feet are on the ground). We can set up the equation as follows:
a^2 + 9^2 = 15^2
a^2 + 81 = 225
a^2 = 144
a = 12
Therefore, the distance from the base of the ladder to the base of the house is 12 feet.
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Rewrite the expression 2(x + 5) using the Distributive Property.
Answer:
2x + 10
Step-by-step explanation:
To expand (using the distributive property) multiply the number outside the bracket i.e. in this case '2', with the values inside the brackets.
So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.
So
2(x + 5)
= (2*x)+(2*5)
=2x+10
extention note: be careful when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.
an example
2(x-5)
= (2*x)+(2*-5)
=2x -10
Anyhow, I hope this helped!
Let sin A = 1/3 where A terminates in Quadrant 1, and let cos B = 2/3, where B terminates in Quadrant 4. Using the identity:
cos(A-B)=cosACosB+sinAsinB
find cos(A-B)
Using trigonometric identity, cos(A-B) is:
\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)
How to find cos(A-B) using the trigonometric identity?Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.
If sin A = 1/3 and A terminates in Quadrant 1. All trigonometric functions in Quadrant 1 are positive
sin A = 1/3 (sine = opposite/hypotenuse)
adjacent = √(3² - 1²)
= √8 units
cosine = adjacent/hypotenuse. Thus,
\(cos A = \frac{\sqrt{8} }{3}\)
If cos B = 2/3 and B terminates in Quadrant 4.
opposite = √(3² - 2²)
= √5
In Quadrant 4, sine is negative. Thus:
\(sin B = \frac{\sqrt{5} }{3}\)
We have:
cos(A-B) = cosA CosB + sinA sinB
\(cos (A-B) = \frac{\sqrt{8} }{3} * \frac{2}{3} + \left \frac{1}{3} * \frac{\sqrt{5} }{3}\)
\(cos (A-B) = \frac{2\sqrt{8} }{9} + \left\frac{\sqrt{5} }{9}\)
\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)
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Three boxes each contain a different number of marbles. Box A has 70 marbles, box B has 88 marbles, and box C has 80 marbles. Marbles are to be transferred from box B to box A. What is the least number of marbles that can be transferred so box C has the most marbles?
it A
Step-by-step explanation:
Please help I don't understand this!
Answer:
5
Step-by-step explanation:
you have to look at the temperature in the picture and look at how it slopes down and predict.
Heather rode her bicycle 3 5/6 miles in 2/3 hour. What was her average speed in miles per hour?
Answer:
her average speed is 7 and 2/3 miles per hour
Step-by-step explanation:
The points (0,k) and (1,4) fall on a line with a slope of 9. What is the value of k?
Answer:
Formula for gradient is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2), where x and y are the coordinates of the points.
(k-4)÷(0-1) = 9
k-4 = 9(0-1)
k-4 = -9
k = -5
What scale of measurement is the type of a car (sedan, SUV, convertible, etc)?
A. Quantitative
B. Ordinal
C. Interval
D. Nominal
The scale of measurement for the type of car(sedan, SUV, convertible, etc) is D. Nominal.
The scale of measurement is a way to categorize and describe the type of data collected in a study. In the case of the type of car, the data collected is categorical, meaning it falls into a specific category without any order or ranking. The categories don't have any meaningful mathematical relationships between them. This type of data is best described by the nominal scale of measurement.
It's important to understand the scale of measurement for a variable because it determines the type of statistical analysis that can be performed on the data.
Nominal data can be summarized using frequency tables and percentages, but more advanced statistical techniques like regression or correlation cannot be performed.
In conclusion, the type of car is a nominal variable, and it's important to identify the scale of measurement of a variable as it affects the type of analysis that can be performed on the data.
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PLEASE HELP!!!! ANSWER QUICK 30 POINTS!!!
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths place.
Answer:
3rd one : 2.1x10-³
4th one : 3.7
Answer:
The guy above me is correct, but for some clarification:
1: 7.8
2: 3.3 * 10^3
3: 2.1 * 10^-3
4: 3.7
Which of the figures most closely reflects how the three species of spiny back are related to one another? A.) tree H B.) tree L C.) tree M D.) tree K.
Tree M most closely reflects how the three species of the spiny back are related to one another.
The branches of the tree, which are marked with the species names, demonstrate that the three species are all closely related, but still have distinct differences between them. For example, Species 1 and 2 share a relatively recent common ancestor, while Species 3 has a much more distant one. The species are represented as separate branches of the tree to show the different pathways of evolution that each species has taken.
In conclusion, Tree M most accurately reflects the evolutionary history of the three species of the spiny back. It shows that while they are all related, they still have distinct differences between them.
The complete question is:
A single species of fish, the three-species spiny back, once inhabited a large lake. At some point in the lake's history, lava flowed from a nearby volcano into the lake cutting it into three completely isolated mini-lakes. Despite the heat from the lava, a few individuals from the original population of spiny back survive in each mini-lake. Three million years later, a researcher finds that each mini-lake is inhabited by its own species of spiny back. Which of the following figures MOST closely reflects how the three species of spiny back are related to one another?
A.) tree H B.) tree L C.) tree M D.) tree K.
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An online store holds a sale. 300 of the customers who make a purchase during the sale, 120 use a coupon. What percent of the customers do not use a coupon?
The percentage of people that did not use coupon is 60%.
What is a percentage?percentage is a number or ratio that represents a fraction of 100. It is one of the ways to represent a dimensionless relationship between two numbers; other methods include ratios, fractions, and decimals. Percentages are often denoted by the symbol "%" written after the number.
Number of persons that used coupon = 120
Total number of customers = 300
Number of customers without coupon = 300 - 120 which is 180
Percentage of customers without coupon is 180/300 x 100% = 60%
In conclusion 60% did not use a coupon for purchase
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A system of equations has 1 solution.If 4x-y=5 is one of the equations which could be other equation?
Answer:
Step-by-step explanation:
Try this: Starting with 4x-y=5, change either the coefficient 4 or the coefficient 1 to another value (for example, 3x - y = 5). Then check to see whether the original and this new line intersect; you will find that they do.
Changing one of the coefficients changes the slope.
Were there answer choices? If so, share them next time you post a question.
Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and evaluate the simplest iterated integral.
⁹∫₀ ∫₀ √81-x² √81-x²-y² √x²+y²+z² dz dy dx
In cylindrical coordinates, the integral becomes ∫₀⁹ ∫₀²π √(81-r²) √(81-r²) r dz dr dθ, and in spherical coordinates, it becomes ∫₀²π ∫₀ⁱ ∫₀⁹ ρ² sinφ √(81-ρ²) √(81-ρ²sin²φ) dρ dφ dθ. The simplest iterated integral is ∫₀²π ∫₀ⁱ ∫₀⁹ ρ² sinφ √(81-ρ²) √(81-ρ²sin²φ) dρ dφ dθ, which can be evaluated to find the numerical value.
To convert the integral to cylindrical coordinates, we express the given limits of integration in cylindrical form and replace the corresponding terms. The integral becomes
∫₀⁹ ∫₀²π √(81-r²) √(81-r²) r dz dr dθ, where r represents the radial distance and θ is the azimuthal angle.
In spherical coordinates, the integral can be written as
∫₀²π ∫₀ⁱ ∫₀⁹ ρ² sinφ √(81-ρ²) √(81-ρ²sin²φ) dρ dφ dθ, where ρ is the radial distance, φ is the polar angle, and θ is the azimuthal angle.
To evaluate the simplest iterated integral, we can compute the integral
∫₀²π ∫₀ⁱ ∫₀⁹ ρ² sinφ √(81-ρ²) √(81-ρ²sin²φ) dρ dφ dθ numerically, using appropriate techniques such as numerical integration or software tools.
The resulting value will provide the numerical solution to the original integral.
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easy question... if someone starts with 100$ and adds 50 each week, how much will they have after 1 year
Hope this helped!
Also can I please have Brainliest?