Answer:
it should be 4x^3 y-4xy^2+xy+3x^2
Step-by-step explanation:
Danny gets paid $8 per hour. What is the rate of change?
A) m=4
B) m= 1/2
C) m=8
Which values from the specified set make up the solution set of the inequality?
4n<16 ; {1,2,3,4}
Select ALL OF THE correct answers.
A. 1
B. 2
C. 3
D. 4
You may solve this problem in two ways:
If you solve the inequality explicitly (divide both sides by 4), you get
[tex] \dfrac{4n}{4} < \dfrac{16}{4} \iff n < 4 [/tex]
So, if [tex] n [/tex] has to be stricktly less than 4, you can only choose 1, 2 and 3 as answers.
Alternatively, you can plug in all of the values you're proposed and check if the inequality holds:
If [tex] n=1 [/tex], you have [tex] 4<16 [/tex], which is true.
If [tex] n=2 [/tex], you have [tex] 8<16 [/tex], which is true.
If [tex] n=3 [/tex], you have [tex] 12<16 [/tex], which is true.
If [tex] n=4 [/tex], you have [tex] 16<16 [/tex], which is false.
So, again, only 1, 2 and 3 are solutions.
everyday each maid a-milking gets 3 gallons of milk from her cow. How much milk to the maids gets in one day?
\(•_•)
( )Z
/ \
Answer:
3 gallons? haha
Step-by-step explanation:
The question did not make that much sense but the only amount of anything given in the question was 3 gallons.
The questions says the maid gets 3 gallons of milk from the cow everyday. SO if we are wondering how much she makes in one day it has to be 3 gallons because it does not give any other information...
Assuming the traditional context of 'The Twelve Days of Christmas' with 8 maids a-milking, each maid gets 3 gallons of milk from her cow, so they would collectively get 24 gallons of milk in one day.
The student is asking how much milk the maids a-milking would get in one day if each maid gets 3 gallons of milk from her cow. To find the total amount of milk gathered by the maids in one day, we need to know the number of maids a-milking. Assuming a traditional context of the song 'The Twelve Days of Christmas', there are 8 maids a-milking. Therefore, the calculation would be:
8 maids x 3 gallons per maid = 24 gallons
So, the maids a-milking would get a total of 24 gallons of milk in one day.
It is important to note that the unit of measurement appropriate for such a quantity of milk is gallons, which is useful for larger capacities, such as the amount produced by a dairy farm operation.
A computer and printer cost a total of $1060 . The cost of the computer is three times the cost of the printer. Find the cost of each item.
Answer:
Printer cost 265
Computer cost 795
Step-by-step explanation:
1060 / 4 = 265
he cost of the printer is $265, and the cost of the computer is $795.
The question involves solving a system of equations to find the cost of two items based on their total cost and the ratio of their costs. To find the cost of a computer and a printer, we can set up the equations based on the given information: the total cost is $1060, and the cost of the computer is three times the cost of the printer.
Let's define C as the cost of the computer and P as the cost of the printer. According to the problem, we have two equations: C + P = $1060 (total cost) and C = 3P (cost relationship). We can substitute the second equation into the first to find P: 3P + P = $1060, so 4P = $1060. Dividing both sides by 4, we get P = $265. Using this value, we can find C by multiplying P by 3, giving us C = 3 * $265 = $795.
Thus, the cost of the printer is $265, and the cost of the computer is $795.
cos(−θ)=√3/4 , sinθ<0
What is the value of sinθ ?
Answer:
as written, sin(θ) = -√13/4perhaps, sin(θ) = -1/2Two answers are given because the question is "unexpected." cos(θ) = √(3/4) is more commonly seen in such problems than is cos(θ) = (√3)/4, which is what you have written here. Choose the answer that matches your intent.
Step-by-step explanation:
The cosine function is an even function, so cos(θ) = cos(-θ).
The relationship between sin(θ) and cos(θ) is ...
... sin(θ) = ±√(1 -cos(θ)^2)
For sin(θ) < 0 and cos(θ) = (√3)/4, ...
... sin(θ) = -√(1 -3/16) = -√(13/16)
... sin(θ) = -(√13)/4
For sin(θ) < 0 and cos(0) = √(3/4), ...
... sin(θ) = -√(1 -3/4) = -√(1/4)
... sin(θ) = -1/2
Answer:
-√13/4 took the test.
Choose the correct conic section to fit the equation. 49x 2 - 16y 2 = 784 Circle Ellipse Parabola Hyperbola
Answer:
hyperbola
Step-by-step explanation:
49x^ 2 - 16y^ 2 = 784
Divide each side by 784
49/784x^ 2 - 16/784y^ 2 = 784
x^2/16 - y^2/49 = 1
This is a hyperbola centered at (0,0)
If it has subtraction, it has to be a hyperbola
Answer:
Thus, The conic which fits the given equation correctly is hyperbola
Step-by-step explanation:
The equation is given to be : 49x² - 16y² = 784
Now, we need to find the correct conic section which fits this given equation
So, to find the correct conic, we will reduce the given equation into the standard form :
So, make R.H.S. 1 by dividing each term by 784
[tex]\frac{49x^2}{784}-\frac{16y^2}{784}=\frac{784}{784}[/tex]
[tex]\implies \frac{x^2}{16}-\frac{y^2}{49}=1[/tex]
[tex]\implies\frac{x^2}{4^2}-\frac{y^2}{7^2}=1[/tex]
This is the standard equation of hyperbola, where a = 4 and b = 7
Thus, The conic which fits the given equation correctly is hyperbola
last year 950 people attended a town's annual parade. This year $1,520 people attended. What was the percent increasse in ttendancce from last year to this year
60%
Step-by-step explanation:The percent change can be found from ...
... ((new value)/(old value) -1) × 100%
... (1520/950 -1) × 100% . . . . . . filling in your numbers
... (1.6 - 1) × 100% = 60% . . . . . . simplify
Attendance this year was 60% higher than last year.
What is the effect on the graph of the function f(x) = x when f(x) is replaced with -1/2 f(x)?
A) vertical reflection over x-axis and vertical stretch
B) vertical reflection over x-axis and vertical compression
C) horizontal reflection over y-axis and horizontal stretch
D) horizontal reflection over y-axis and horizontal compression
Answer:
C) horizontal reflection over y-axis and horizontal stretch
Step-by-step explanation:
1a- A vertical reflection over the x-axis occurs when a function [tex]f(x)[/tex] is transformed into [tex]f(-x)[/tex]
1b- A horizontal reflection over the y-axis occurs when a function [tex]f(x)[/tex] is transformed into [tex]-f(x)[/tex]
2a- A function is being compressed if [tex]f(x)[/tex] is multiplied by a positive factor k: [tex]k f(x)[/tex] with [tex]k>1[/tex]
2b- A function is being stretched if [tex]f(x)[/tex] is multiplied by a positive factor k: [tex]k f(x)[/tex] with [tex]k<1[/tex]
In our problem, the original function [tex]f(x)[/tex] is:
- Multiplied by 1/2, so by a factor which is smaller than 1, so we are in case 2b
- Transformed from [tex]f(x)[/tex] into [tex]-f(x)[/tex] (due to the negative sign in front of it), so we are in case 1b
So, overall, we had a horizontal reflection over the y-axis and a stretch of the function.
Someone please help for grade‼️
Answer:
x=8
Step-by-step explanation:
Since this is an isosceles triangle, the angles in the triangle are 4x, 4x, and 84. The sum of the three angles in a triangle are 180.
4x+4x+ 84 = 180
Combine like terms
8x+84 = 180
Subtract 84 from each side
8x+84-84 = 180 - 84
8x = 96
Divide each side by 8
8x/8 = 96/12
x = 8
The sum of two numbers is 67 and the difference is 13 . What are the numbers?
Answer:
27 and 40
Step-by-step explanation:
Final answer:
The sum of two numbers is 67 and the difference is 13. The two numbers are 40 and 27.
Explanation:
Let's solve this problem step by step:
Let's call one number x and the other number y.We know that x + y = 67 and x - y = 13.To find the numbers, we can solve this system of equations.Adding the two equations together, we get 2x = 80.Dividing both sides by 2, we find that x = 40.Substituting x = 40 into either equation, we find that y = 27.Therefore, the two numbers are 40 and 27.
At Frank's work he can produce 2 widgets every hour. Which of the following expresses how many widgets Frank can make during an 8 hour day?
Answer:
8x2 or (8)(2)
Step-by-step explanation:
The value of 1 hour is 2 widgets, in 8 hours simplified would lead to 8x2 which is 16 widgets.
This leaves you with 16 widgets made in 8 hours.
Frank can make 16 widgets by working 8 hours a day.
What is the concept of Unitary method ?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Solving the given problem using the Unitary method -Given that at Frank's work he can produce 2 widgets every hour.
Thus if he produce 2 widgets in one hour, using Unitary method
In 1 hour Frank can make 2 widgets.
Thus in 8 hour work, Frank can make (2 * 8) widgets.
In 8 hour work, Frank can make 16 widgets.
To learn more about Unitary method, refer -
https://brainly.com/question/26548578
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Pleaaasssee hellpppp. The farm has cows and turkeys. Between all the animals, there are 148 legs and sixty heads. How many cows and how many turkeys does the farm have?
Answer:
Step-by-step explanation:
14 cows
46 turkeys
Step-by-step explanation:If all the animals were turkeys, there would be 120 legs. There are 28 more than that. Replacing a turkey with a cow adds 2 legs, so there must be 14 such replacements.
There are 14 cows and 46 turkeys.
_____
Check
14×4 + 46×2 = 56 + 92 = 148 . . . . legs
14 + 46 = 60 . . . . . . heads
The point (0, 5) lies on circle A with the center at the origin. Does the point (0, −5 ) lie on the circle? A. Yes, because both points are equidistant from the center of the circle. B. Yes, because the distance between the two points is half the distance from the center to one of the points. C. No, because both points are not equidistant from the center of the circle. D. No, because the distance between the two points is twice the distance from the center to one of the points.
A. Yes, because both points are equidistant from the center of the circle.
Step-by-step explanation:The point (0, 5) is 5 units from the point (0, 0).
The point (0, -5) is 5 units from the point (0, 0).
The given points are equidistant from the circle center at (0, 0), so both will lie on the circle—along with any other points that are 5 units from (0, 0).
The mean of a set of data is 4.68 and its standard deviation is 2.83. find the z score of the value
Answer:
z=-0.35 ( Depending on value given)
Step-by-step explanation:
Let the value be x. For calculation purposes, let us take x as 3.68. ( as mean is 4.68). We may assume a higher value as well. Depends on the given value.
The formula for z score is given as-
z=(value-mean)/Standard Deviation
z=(3.68-4.68)/2.83
z=-0.35
Jeff answered all 25 questions on his chemistry test. For each right answer, he got 4 points and for each wrong answer he lost 2 points. If he got a score of 70 points, how many questions did he get right?
Answer:
Jeff got 20 answers right.
Step-by-step explanation:
The maximum number of points Jeff can get is 100. (25 * 4) However, for each question he gets wrong, he's actually losing 6 points because he doesn't get the four points for getting right, and has the additional -2 points for getting it wrong. Since he only got a score of 70, that means he lost 30 points.
30/6 = 5. So he missed 5 question and got 20 question right.
As per the given values, Jeff got 20 questions right.
Explanation:Total questions answered = 25
Total points for each correct answer = 4
Total points for each incorrect answer = 2
To find the number of questions Jeff got right, we can set up the equation:
4x - 2(25 - x) = 70,
where x represents the number of questions he got right.
Simplifying the equation, we get -
6x - 50 = 70.
Adding 50 to both sides, we have 6x = 120.
Dividing both sides by 6, we get x = 20.
Therefore, Jeff got 20 questions right.
Learn more about Finding the number of questions answered correctly here:https://brainly.com/question/40214390
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Pls I need help with this one. Find the value of y in the equation
Answer:
y = 2 3/8
Step-by-step explanation:
Multiply by the denominator. This gives a linear equation that can be solved in the usual way.
... 3 = 8(y -2)
Divide by 8.
... 3/8 = y - 2
Add 2
... 2 3/8 = y
_____
In problems involving rational expressions, it often works well to multiply by the product of the denominators, or by their least common multiple, if that is easy to find. Doing this eliminates fractions. Here there is only one denominator (y-2), so we multiply by that.
If z is a standard normal variable, find the probability. The Probability that z is greater than -1.82.
A. -0.0344
B. 0.9656
C. 0.0344
D. 0.4656
Answer:
C.) 0.9656
Step-by-step explanation:
Using a z-table look for -1.82 and we obtain : 0.0344. So what's the probability that z > -1.82 is the same as saying when is z > 0.0344? Since we're talking about probabilities of an outcome from ranging from 0% to 100% meaning 0 through 1 in decimals then:
1 - 0.0344 = 0.9656
So the probability that z>-1.82 is C.) 0.9656
Using the normal distribution, it is found that there is a 0.9656 probability that z is greater than -1.82, option B.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 probability of finding a value above X, that is, having a z-score above the one found, is 1 subtracted by the p-value of Z.In this problem:
z = -1.82 has a p-value of 0.0344.
1 - 0.0344 = 0.9656.
0.9656 probability that z is greater than -1.82, option B.
A similar problem is given at https://brainly.com/question/5954134
Which postulate or theorem proves ∆WXY ≅ ∆WZY ?
SSS Congruence Theorem
SAS Congruence Postulate
HL Congruence Theorem
Answer:
HL Congruence Theorem
Step-by-step explanation:
Answer:
HL congruence theorem
Step-by-step explanation:
Given that WZX is an isosceles triangle with sides WX=WZ
Also given that WY is altitude on side XZ
Consider triangles WXY and WZY
WX=WZ Given
WY=WY REflexive property
Angle wyz =angle wyx Right angle
Hence by HL congruence theorem, since one leg and hypotenuse are equal we get the two triangles to be congruent.
Express 4 as a fraction. A) 1 1 B) 1 4 C) 4 1 D) 4 4
The answer is C) 41 hope this helped
Who's beaker has the greatest amount of liquid left in it?
Jay 0.8
Alana 1.05
Evan 1.2
Stacey 0.75
Evan has the most in his beaker.
This is because:
0.75 < 0.8 < 1.05 < 1.2.
−10x+3y=5 ASAP
x=y−4
x ?
y?
Answer:
x = 1 and y = 5
Step-by-step explanation:
Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.
Given: ∆ABC, AB = CB BD − median to AC E∈ AB ,F∈ BC AE = CF Prove: △ADE ≅ △CDF ΔBDE ≅ ΔBDF
Answer:
1) By SAS theorem, ΔADE≅ΔCDF
2) By SSS theorem, ΔBDE≅ΔBDF
Step-by-step explanation:
Consider isosceles triangle ABC (see diagram).
1. In triangles ADE and CDF:
AD≅DC (since BD is median, then it divides side AC in two congruent parts);AE≅CF (given);∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).By SAS theorem, ΔADE≅ΔCDF.
2. In triangles BDE and BDF:
side BD is common;DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).Be SSS theorem, ΔBDE≅ΔBDF.
PLEASE HELP WITH MATH CONSTRUCTED RESPONSE!!
1. Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable.
2. What is the best estimate for the average cost of tuition at a 4-year institution starting in 2000.
3. What is the best estimate for the average cost of tuition at a 4-year institution starting in 2020.
4. What does the slope mean in context of the situation?
5. Most students are not able to afford this tuition for 4 years. What are some ways that you can lower the cost of your college tuition? If you don’t plan to attend college, what things can do you post- HS graduation to continue your education or provide for yourself financially?
Answer:
y = 0.937976x +12.765$12,765$31,524the cost increase each yearStep-by-step explanation:
1. For this sort of question a graphing calculator or spreadsheet are suitable tools. The attached shows the linear regression line to have the equation ...
... y = 0.937976x + 12.765
where x is years since 2000, and y is average tuition cost in thousands.
2. The y-intercept is the year-2000 tuition: $12,765.
3. Evaluating the formula for x=20 gives y ≈ 31.524, so the year-2020 tuition is expected to be $31,524.
4. The slope is the rate of change of tuition with respect to number of years. It is the average increase per year (in thousands). It amounts to about $938 per year.
5. [not a math question]
The sum of two numbers is 60 . The smaller number is 12 less than the larger number. What are the numbers?
Answer:
36 and 24
Step-by-step explanation
36 - 24 = 12
36 + 24 = 60
In ΔABC (m∠C = 90°), the points D and E are the points where the angle bisectors of ∠A and ∠B intersect respectively sides BC and AC . Point G ∈ AB so that DG ⊥ AB and H ∈ AB so that EH ⊥ AB .
Prove that ΔCEH and ΔCDG are isosceles.
The problem is symmetrical, so proof for ΔCDG can serve as a model for proof for ΔCEH.
Step-by-step explanation:∠DGA ≅ ∠DCA ≅ 90° . . . . given
∠GAD ≅ ∠CAD . . . . definition of angle bisector AD
AD ≅ AD . . . . reflexive property
ΔDGA ≅ ΔDCA . . . . AAS congruence theorem
CD ≅ GD . . . . CPCTC
∴ ΔCDG is isosceles . . . . definition of isosceles triangle (2 sides congruent)
_____
To do the same for ΔCEH, replace "D" with "E", replace "G" with "H", and replace "A" with "B". The rest of the logic applies.
Which set of points matches the line above?
A.
(0,9) (6,8)
B.
(8,6) (3,11)
C.
(0,9) (11,3)
D.
(9,0) (3,11)
Answer:
C
Step-by-step explanation:
When x = 0, y = 9
When x = 11, y = 3
Find 11 on the horizontal line and go up to the crossing and the follow the line till the y-axis(going to the left direction(. Did you see the 3?
That is the (11 | 3) point
Clint's salary increased from $24000 to $36000 over a three-year period. Helen's salary increased from $29000 to $43, 500 over the same period. Whose salary increased more in absolute terms? In relative terms? Explain.
Answer:
Helen's salary increased more.
Step-by-step explanation:
We know that Clint's salary increased from $24000 to $36000 over a three-year period.
So the increase in Clint's salary will be = 36000 - 24000 = $12000
While Helen's salary increased from $29000 to $43, 500 over the same period of 3 years.
So the increase in Helen's salary will be = 43500 - 29000 = $14500
Therefore, in absolute terms, Helen's salary has increased more.
the table below shows the time, in seconds that it takes to fill to 20-ounce bottles with water.
Answer:
1 min and 40 sec
Step-by-step explanation:
well for every ounce it takes 5 sec
5 x 20 = 100
I hope i did this right ^_^
Answer:
100 seconds
Step-by-step explanation:
We are given the following data in the question:
Time: 0 30 60 90 120
Ounces of Bottles filled: 0 6 12 18 24
Where time is in seconds and the bottles are filled in ounces.
Amount of water filled in 30 seconds = 6 ounces
Amount of time taken to fill 1 ounce of water = [tex]\frac{30}{6}[/tex] = 5 seconds
We need to find the time to fill 20 Ounces
It is clear from the data that 18 ounces of water will fill in 90 seconds.
We have to find the time to fill 2 ounces of water.
Time taken to fill two ounces of water = [tex]2\times 5[/tex] seconds = 10 seconds.
Total time taken to fill 20 ounces of water = 990 + 10 = 100 seconds = 1 Minute 40 Seconds
Which is a third degree polynomial with –3 and 2 as its only zeros?
x^2 + x – 6
x^3 + 2x^2 – 5x – 6
x^3 + 4x^2 – 3x – 18
x^3 + x^2 – 8x– 12
The third-degree polynomial with – 3 and 2 as its only zeros is x³ + x² – 8x – 12, which can be factored as (x+3)(x-2)(x-2).
Explanation:A third-degree polynomial with – 3 and 2 as its only zeros must be in the format of A(x+3)(x-2)(x-C), where A and C are constants, and C is possibly another zero of the polynomial.
Given the four options, the only polynomial that fits this format and has – 3 and 2 as zeros is x³ + x² – 8x – 12.
To verify, we can factor it: (x+3)(x-2)(x-2), which shows that 2 is a zero of multiplicity 2, and – 3 is also a zero.
There are no other real zeros besides these, so it is the correct polynomial.
**WILL GIVE BRAINIEST! PLEASE HELP!**
d. $50.94
Step-by-step explanation:The deposit is for 1 year (4 quarters) at an annual rate of 5% (1.25% per quarter). The table value for those parameters is 1.05094. Multiply this value by the $1000 amount Miguel deposited to find his ending balance.
... ending balance = $1000 × 1.05094 = $1050.94
Since his deposit amount was $1000, the interest earned is ...
... $1050.94 -1000.00 = $50.94