Answer:
lines, andplanes.Explanation:
In geometry, undefined terms refer to three entities: points, lines, and planes. They are considered undefined because they are rather described than formally defined.
The reason behind this lack of definition is that they are abstractions: you cannot touch or see a real point, line or plane.
A point represents a position in the plane or the space, and it is dimensionless. Yet it is used to define a line and a plane.
Among those three terms, only line and plane meet the feature of not having begin or end. That is so because lines and planes extend infinetly
LInes extend in two directions, in one dimension: for example, from left to right, or from east to west, or vertically.
Planes extend infinetly in two dimensions: they are flat infinite surfaces.
You have reason to believe that there are actually
more raisins in each box than the company
claims. What is Your alternative hypothesis?
Answer:
The answer is A.) u < 200
next one is B.) u > 200
The alternative hypothesis in your testing would be: u < 20; u > 200.
What is Alternative Hypothesis?An alternative hypothesis can be defined as a statement in statistical inference which is used in contradictory form against what is stated in the null hypothesis.
Alternative hypothesis is the alternative t a null hypothesis in hypothesis testing.
Therefore, the alternative hypothesis in your testing would be: u < 20; u > 200.
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!!!!!!PLEASE HELP!!!!!What is the minimum value for the function f(x)=1/2(x+3)(x-5)
Answer:
the minimum value is 1/2x^2+4x+15/2 (write down the work below)
Step-by-step explanation:
f(x)=1/2*(x+3)*(x+5)=0
multiply the parenthesis by 1/2
(1/2x+3/2)*(x+5)
multiply the parenthesis
1/2x^2+5/2x+3/2x+15/2
calculate the equation
1/2x^2+4x+15/2 is you're answer
One number is five more than another, and their sum is three less than three times the smaller. Find the numbers. If x represents the smaller number, which equation could be used to solve for x? X 2 + 5 = 3x - 3 2x + 5 = 3x - 3 2x + 5 = 3(x - 3)
Answer:
2x+5=3x-3
Step-by-step explanation:
The larger number is represented by X=5, and that number plus x would be 2x+5. The sum of those is 3 less than 3 times x, which is shown by 3x-3. So, 2x+5=3x-3
Answer:
The numbers are 8 and 13. Hopefully that can help with the equation.
Step-by-step explanation:
what is the simplified expression of the following polynomial: xy4 + 5y7 - (6xy + 7y7) - x8y2 + (-3xy4) Step by Step
Answer:
-x^8y^2 -2y^7 -2xy^4 -6xy
Step-by-step explanation:
Eliminate parentheses.
xy^4 + 5y^7 - 6xy - 7y^7 - x^8y^2 -3xy^4
Arrange in descending degree order, group like terms.
-x^8y^2 +(5y^7 -7y^7) +(xy^4 -3xy^4) -6xy
Combine like terms.
-x^8y^2 -2y^7 -2xy^4 -6xy
A biologist pollster asks people what their favorite TV show is. This is an example of what kind of statistical study:
1. Experiment
2. Observational Study
3. Survey
NEED HELP ASAP!! Will give brainliest!
What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?
y=3x-17
y=3x+19
y=-3x+19
y=-3x-17
ANSWER
[tex]y = 3x - 17[/tex]
EXPLANATION
The given line has equation;
[tex]y - 3x = 2[/tex]
We solve for y to get;
[tex]y = 3x + 2[/tex]
The slope of this line is 3.
Since tyheline is parallel to this line, it also has slope 3.
The line passes through (6,1), we can use the slope intercept form,
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the point and the slope to get;
[tex]y - 1 = 3(x - 6)[/tex]
[tex]y = 3x - 18 + 1[/tex]
[tex]y = 3x - 17[/tex]
Answer: First Option
[tex]y = 3x - 17[/tex]
Step-by-step explanation:
For a linear equation of the form
[tex]y = mx + b[/tex] the slope of the line is the constant m.
In this case we have the line
[tex]y-3x=2\\y=3x +2[/tex]
Then the slope is [tex]m=3[/tex]
If the equation of the line sought is parallel to the line [tex]y=3x +2[/tex] then by definition both lines have the same slope m = 3
Therefore the equation of the line sought is:
[tex]y = 3x + b[/tex]
Where b is a constant that represents the intersection of the line with the y axis.
[tex]b = y_0 -3(x_0)[/tex]
Where [tex](x_0, y_0)[/tex] is a point belonging to the line sought.
In this case the point is (6, 1)
So
[tex]b =1 -3(6)[/tex]
[tex]b =-17[/tex]
Finally the equation is:
[tex]y = 3x - 17[/tex]
Two 6-sided dice are rolled at the same time. How many outcomes correspond to the event that the sum of the numbers is 5? A. 2 B. 3 C. 4 D. 5
A - the sum of the numbers is 5
[tex]A=\{(1,4),(4,1),(2,3),(3,2)\}\\|A|=4\Rightarrow \text{C}[/tex]
A poll is given, showing 65% are in favor of a new building project. If 4 people are chosen at random, what is the probability that exactly 3 of them favor the new building project? Preview
Answer:
0.38Explanation:
When 4 people are chosen at random, the probability that exactly 3 of them favor the new building project may be thought as four cases:
- the first one is against and the other three are in favor
- the second one is against and the other three are in favor
- the third one is against and the other three are in favor
- the fourth one is against and the other three are in favor.
Each one of those probabilities are equal to:
(0.35) × (0.65)³ = 0.09611875↑ ↑
one against three in favor
Since, there are four equal results: 4 × 0.09611875 = 0.384475
Rounded to 2 significant digits that is 0.38.
The probability that exactly 3 out of 4 people randomly selected from a poll, where 65% of people are in favor of a certain building project, are also in favor of it is approximately 0.3835 or 38.35%.
Explanation:This question is about the calculation of probability related to a poll result. To calculate the probability that exactly 3 of 4 randomly chosen people favor the new building project, we should consider this as a binomial probability problem, because each person either supports the project or not, and each person is independent of the others. Accordingly, the probability that exactly 3 out of 4 people are in favor is given by the formula:
P(X=3)=C(4,3)*(0.65)^3*(1-0.65)^(4-3)=4*(0.65)^3*(0.35)=(4*0.2746*0.35)=0.3835
So, the probability that exactly 3 of them favor the new building project is approximately 0.3835 or 38.35%.
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Given: STU with Prove: Complete the steps of the proof. ?: angle STU is congruent to angle XYUtriangle STU is congruent to triangle XYUtriangle STU is similar to triangle XYU ?: substitution propertysubtraction propertytransitive property
Answer: 5 triangle STU is similar to triangle SYU
11 sub traction property.
Step-by-step explanation:
i got it right on edgnuity if its the question with the triangle and the proof chart with 11 statements
Answer:
5: triangle STU is similar to triangle XYU
11: subtraction property
Step-by-step explanation:
PLEAS HELP ME FIND THE AREA OF THE SHADED SECTOR
ANSWER
461.7 yd²
EXPLANATION
The shaded region represents a sector.
The area of the sector is a fraction of the area of the whole circle.
Area of sector
[tex] = \frac{angle \: \: of \:sector }{360 \degree} \times \pi {r}^{2} [/tex]
We substitute the angle of the sector and the radius of the circle to obtain:
[tex] = \frac{167 \degree}{360 \degree} \times \pi \times {17.8}^{2} [/tex]
[tex] = 461.7 {yd}^{2} [/tex]
Therefore the area of the shaded region to the nearest tenth is 461.7 square yards.
Answer:
Area of shaded sector = 461.5 yd²
Step-by-step explanation:
Points to remember
Area of circle = πr²
Where 'r' is the radius of circle
To find the area of given circle
Here r = 17.8 yd
Area = πr²
= 3.14 * 17.8²
= 3.14 * 316.84
= 994.8776 yd²
To find the area of shaded region
Central angle of sector = 167°
Area of sector = (167/360) * area of circle
= (167/360) *994.8776
= 461.52 ≈ 461.5 yd²
20 POINTS
Solve x.
sin x= 0.0349
Show work.
Explain your answer.
Thanks-Aparri
Answer:
2 raisins
Step-by-step explanation:
The mean is calculated in the usual way: the sum divided by the number of numbers.
mean = (5 +9 +5 +5 +7 +11)/6 = 7
The deviations are the differences from the mean:
deviation = {5, 9, 5, 5, 7, 11} -7 = {-2, 2, -2, -2, 0, 4}
and the absolute deviation is the absolute value of these numbers:
absolute deviation = {2, 2, 2, 2, 0, 4}
The mean absolute deviation (MAD) is the average of these values:
(2 +2 +2 +2 +0 +4)/6 = 2
The mean absolute deviation is 2.
_____
It is generally convenient to let technology do the computation. A spreadsheet or graphing calculator can do this easily.
Which account has the highest effective annual interest rate? Not necessary but please show how you got your answer.
A. Account 1: Interest is compounded quarterly at an annual rate of 4.20%.
B. Account 2: Interest is compounded monthly at an annual rate of 4.15%.
C. Account 3: Interest is compounded semiannually at an annual rate of 4.10%
D. Account 4: Interest is compounded annually at a rate of 4.25%.
Answer:
A. 4.20% compounded quarterly
Step-by-step explanation:
The effective annual multiplier on an account with annual interest rate r compounded n times per year is ...
(1 +r/n)^n
When doing multiple evaluations of the same expression, it is convenient to let a spreadsheet or calculator do them from a list of inputs. In the attached, we round the result to 4 decimal places to make comparison easier.
The highest effective rate is 4.2% compounded 4 times per year.
____
Example calculation
(1 +0.042/4)^4 = 1.0105^4 = 1.0426661426550625 ≈ 1.0427
Answer:
A) Account 1: Interest is compounded quarterly at an annual rate of 4.20%
WILL GIVE BRAINIEST TO THE BEST ANSWER (multiple choice question)
Addison mows three lawn(s) per day and earns $35.00 per lawn. If Addison spends three days mowing, how much money will he earn? Identify the input and output.
A- Input: $315.00 days Output: 9 lawns
B- Input: 3 days Output: $315.00
C- Input: 9 lawns Output: $315.00
D- Input: $315.00 Output: 3 days
Answer:
im going to say c is the answer to this question
Answer: C
Step-by-step explanation:
15x – 24 > 3(4x – 10)Solve using the addition and multiplication principle. One of these is the answer. {x | x ? -2} {x | x ? -2} {x | x < -2} {x | x > -2
Answer:
bsqaure +csqaure =bsqaure
Step-by-step explanation:
the values in the table represent an exponential function.what is the common ratio of the associated geometric sequence
x y
1 8
2 32
3 128
4 512
5 2048
A.4 B.24 C.40 D.8
Answer:
A. 4
Step-by-step explanation:
Pick two terms with consecutive x-values and find their ratio. That is the common ratio.
for x = 2 and x = 1,
r = 32/8 = 4
The common ratio is 4.
_____
You can check other pairs of terms if you want to confirm.
r = 2048/512 = 4 . . . . for x=5 and 4.
Answer:
Hi!
The correct answer is A. 4.
Step-by-step explanation:
To find the common ratio of an geometric sequence of set A = {a₁, a₂, a₃, ..., aₙ} you can use the formula:
[tex]r=\frac{a_{i+1}}{a_i}[/tex]
If you pick x = 4 to find the ratio, you have to replace in the formula:
[tex]r=\frac{a_{4+1}}{a_4} =\frac{a_{5}}{a_4}[/tex] // replace the values
[tex]r= \frac{2048}{512} = 4[/tex]
The common ratio of this geometric sequence is 4.
5. A raffle prize of 14x^2 /15 dollars is to be divided among 7x people. Write an expression for the amount of money that each person will receive
Given that the raffle prize is to be divided equally, the amount of money each person will receive will be equal to the total raffle prize (14x^(2)/15) divided by the number of people (7x). Thus, we get:
(14x^(2)/15) / 7x
= (14x^(2)/15) * (1/7x)
= 14x^(2)/15*7x
= 14x^(2)/105x
= 2x/15 (Divide both the numerator and denominator by 7x)
Therefor, each person would receive 2x/15 dollars.
If you know how to cancel when dealing with fractions, you can get to this step much easier, however this way also works. The idea with cancelling would be that when you had (14x^(2)/15) / 7x, you would recognise that 14x^2 may be divided by 7x straight away to get 2x. Then you would have 2x/15 as your answer.
Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?
Yes; 1,200 is less than 1,400.
Yes; 1,200 is less than 2,000.
No; 1,200 is more than the 400 he burned off at the gym.
No; 1,200 will cause him to exceed 2,000.
Answer:
Easy its D
Step-by-step explanation:
remember he does not want to pass 2,000
1,400 - 400 = 1,000
1,000 + 1,200 = 2,200
Answer:
No; 1,200 will cause him to exceed 2,000.
Step-by-step explanation:
Given that Brett wants to stay within his daily calorie limit of 2,000 calories, and he has already consumed 1,400 calories and burned 400 calories at the gym, the maximum additional calories he can consume without exceeding his limit is:
2,000 (daily limit) - 1,400 (already consumed) - 400 (burned at the gym) = 1,000 calories
So, Brett can consume a maximum of 1000 more calories to stay within his daily limit of 2,000 calories. Therefore, 1,200 calories is not a viable solution because it exceeds his limit by 200 calories.
The correct answer is:
No; 1,200 will cause him to exceed 2,000 calories.
Hope this helps :))
What is the circumference of circle P?
Express your answer in terms of Pi
PB= 29 m
Answer:
The formula for circumference: 2rpi
PB = r = 29m
The circumference of circle P is:
2(29)pi
=58pi
Answer:
The circumference of circle =58π m
Step-by-step explanation:
Points to remember
Circumference of circle = 2πr
Where r is the radius of the circle
From the figure we can see a circle with radius PB = 29 m
To find the circumference of circle
Here r = 29 m
Circumference = 2πr
= 2 * π * 29
= 58π m
Therefore the circumference of circle =58π m
Geometry PEOPLE COME HELP
Answer:
The answer should be. ( 7,2 )
Answer: second option.
Step-by-step explanation:
Given the transformation [tex]T:(x,y)[/tex]→[tex](x+3,y+1)[/tex]
You must substitute the x-coordinate of the point B [tex]x=4[/tex]) and the y-coordinate of the point B [tex]y=1[/tex]) into [tex](x+3,y+1)[/tex] to find the x-coordinate and the y-coordinate of the image of the point B.
Therefore, the image of B(4,1) is the following:
[tex](x+3,y+1)=(4+3,1+1)=(7,2)[/tex]
You can observe that this matches with the second option.
The system of equations is solved using the linear combination method. What does 0 = ?12 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines. There are no solutions to the system because the equations represent the same line. There are infinitely many solutions to the system because the equations represent parallel lines. There are infinitely many solutions to the system because the equations represent the same line.
Answer:
There are no solutions to the system because the equations represent parallel lines
Step-by-step explanation:
If you get a solution 0 =12
This is never true, so that means there are no solutions.
The lines are parallel.
If you get 2=2, you will have infinite solutions because they are the same line
Plz, help! I don't know this ! will give brainlest!
Answer:
its the mean for the data, its showing you the average studying time
Please help ^^ -Rudy has arranged to buy a car for $10,240. He has a $3000 trade-in allowance and will make a $2000 down payment. He will finance the rest with a 3-year auto loan at 3.4% APR.
Monthly Car Loan Payment Per $1000 Borrowed.
(a) How much money will he borrow in an auto loan?
(b) What will his monthly auto payment be?
(c) What is the total amount of interest he will pay?
(d) What is his total payment for the car?
Answer:
(-) $29.26 per thousand for a 3-year 3.4% loan
(a) $5,240
(b) $153.32
(c) $279.52
Step-by-step explanation:
• Payment per thousand
The payment amount can be computed from the formula ...
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual rate, n is the number of payments per year, and t is the number of years.
For a $1000 3-year loan at 3.4%, this evaluates to ...
A = 1000(0.034/12)/(1 -(1 +0.034/12)^(-12·3)) ≈ $29.26
The monthly car payment per $1000 borrowed is $29.26.
__
• Rudy's trade-in allowance and down payment will reduce the amount he finances to ...
$10,240 -3000 -2000 = $5,240
__
• $5,240 = 5.24 × $1000, so Rudy's payment will be ...
5.24 × $29.26 = $153.32
__
• The amount of interest Rudy pays is the difference between the amount paid back and the amount of the loan.
(36 mo)×($153.32/mo) - 5240 = $279.52
Monthly Car Loan Payment Per $1000 Borrowed is $29.26
(a) money he will borrow for loan = $ 5240
(b) monthly auto payment = $ 153.32
(c) the total amount of interest he will pay is $279.52
(d) Total payment for car= $ 10,519.52
Given Information :
The cost of car is $10,240. He has allowance of $3000 and He will make a $2000 down payment.We find out the monthly car loan payment for every $1000 borrowed.
Lets use monthly payment formula
[tex]A=\frac{P\cdot \frac{r}{n} }{1-(1+\frac{r}{n})^{-nt} }[/tex]
Where P is the loan amount.
r is the rate of interest and t is the number of years
n is the period
P=1000
Given that 3-year auto loan at 3.4% APR.
t=3, r= 3.4%= 0.034, n=12
Substitute all the values and calculate the monthly loan
[tex]A=\frac{P\cdot \frac{r}{n} }{1-(1+\frac{r}{n})^{-nt} }\\A=\frac{1000\cdot \frac{0.034}{12} }{1-(1+\frac{0.034}{12})^{-12\cdot 3} }\\A=\frac{1000\cdot \frac{0.034}{12}}{1-\left(\frac{0.034}{12}+1\right)^{-36}}\\A=\frac{2.83333\dots }{1-1.00283\dots ^{-36}}\\A=29.25782[/tex]
Monthly Car Loan Payment Per $1000 Borrowed is $29.26
The cost of car is $10,240. Allowance = 3000 and down payment = 2000
(a) Auto loan = cost of car - allowance - down payment
[tex]Auto \; loan = 10240 - 3000 -2000=5240[/tex]
(b) Monthly Car Loan Payment Per $1000 Borrowed is $29.26
Monthly car loan payment for $5240 is
[tex]\frac{5240}{1000} * 29.26=153.32[/tex]
(c) first we find out the total loan amount paid in 3 years (36 months)
[tex]36 \cdot 153.3224=5,519.52[/tex]
To find the amount of interest he pay , we subtract the loan amount
[tex]5,519.52-5240=279.52[/tex]
the total amount of interest he will pay is $279.52
(d) Total payment for car = down payment +total loan amount paid
Total payment for car =[tex]5000+5519.52=10,519.52[/tex]
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If varies directly with y and x = 6 m when y = 15, find x when y = 20
If x varies directly with y, then :
● Increase in x results in increase of y
● Decrease in x results in decrease of y
● It is represented by : x ∝ y
[tex]\mathsf{\bigstar\;\;If\;x\;varies\;directly\;with\;y\;then : \large\boxed{\mathsf{\dfrac{x_1}{x_2} = \dfrac{y_1}{y_2}}}}[/tex]
Here : x₁ = 6 and y₁ = 15 and x₂ = x₂ and y₂ = 20
Substituting the values we get :
[tex]\mathsf{\implies \dfrac{6}{x_2} = \dfrac{15}{20}}[/tex]
[tex]\mathsf{\implies x_2 = \dfrac{20 \times 6}{15}}[/tex]
[tex]\mathsf{\implies x_2 = 8}[/tex]
Answer : x = 8 when y = 20
Answer:
x = 8
Step-by-step explanation:
Given that x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 6 when y = 15
k = [tex]\frac{x}{y}[/tex] = [tex]\frac{6}{15}[/tex] = 0.4
x = 0.4y ← equation of variation
When y = 20, then
x = 0.4 × 20 = 8
(x + 2)²
Given: (x + y)² = x² + 2xy + y²
Answer:
x² +4x +4
Step-by-step explanation:
Matching the expressions, you see you have y=2. Put 2 where y is and simplify.
(x +2)² = x² +2x(2) +(2)² = x² +4x +4
ANSWER
[tex] {x}^{2} + 4x + 4[/tex]
EXPLANATION
We want to expand:
[tex](x { + 2)}^{2} [/tex]
Using the identity:
[tex] {( x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} [/tex]
We put y=2 into the identity to obtain;
[tex] {( x + 2)}^{2} = {x}^{2} + 2x(2) + {2}^{2} [/tex]
This simplifies to:
[tex]{( x + 2)}^{2} = {x}^{2} +4x + 4[/tex]
What is the solution for the system of equations {9x+8y=3 6x−12y=−11?
Answer:
( - [tex]\frac{1}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Step-by-step explanation:
Given the 2 equations
9x + 8y = 3 → (1)
6x - 12y = - 11 → (2)
To eliminate the y- term multiply (1) by 1.5
13.5x + 12y = 4.5 → (3)
Add (2) and (3) term by term
(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)
19.5x = - 6.5 ( divide both sides by 19.5 )
x = [tex]\frac{-6.5}{19.5}[/tex] = - [tex]\frac{1}{3}[/tex]
Substitute this value into either of the 2 equations and solve for y
Using (1), then
- 3 + 8y = 3 ( add 3 to both sides )
8y = 6 ( divide both sides by 8 )
y = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Solution is (- [tex]\frac{1}{3}[/tex], [tex]\frac{3}{4}[/tex] )
PLEASE HELP! I'm on a time limit!!
Identify the reflection of the figure with vertices A(7,8), B(−12,19), and C(14,−21) across the line y=x.
A (8, 7), B (19, −12), C (−21, 14)
A (8, 7), B (12, −19), C (14, −21)
A (8, 7), B (−19, 12), C (14, −21)
A (7, 8), B (19, −12), C (21, −14)
Answer:
A. (8, 7), B (19, −12), C (−21, 14)
Step-by-step explanation:
You swap the X and Y coordinate for reflections over y=x
Answer:
Its the first choice.
Step-by-step explanation:
You flip the coordinates so the point (a, b) shifts to (b, a). So point A (7, 8) shifts to (8.7).
CAN SOMEONE CHECK MY WORK GEOMETRY PEOPLE ONLY PLS
Answer:
Is the graph shown the initial triangle, or the translated one?
Step-by-step explanation:
The perimeter of the rectangle is 146 units. What is the length of the longer side? 1 side = 2x, 2nd side = 3x+3
Answer:
45 units
Step-by-step explanation:
The perimeter is equal to 2(width+length)
Let the longer side be the length of the rectangle
2(2x+3x+3)=146
Divide both sides by 2
2x+3x+3=73
5x+3=73
5x=70
x=14
The longer side = 3x+3
substitdude x into the equation
3(14)+3
= 45 units
There are 8 movies that you would like to see currently showing in theatres. In how many different ways can you choose a movie to see this Saturday and one to see this Sunday?
Answer:
56
Step-by-step explanation:
Assumption: You don't watch the same movie twice
I will explain in 2 ways
METHOD 1: Multiplication Rule
On Saturday, you have 8 choices. On Sunday, you have 7 choices because u have already watched 1 movie on Saturday
8×7 = 56
METHOD 2: Permutation
Since 'order' is important, i.e. watching movie A on Saturday & B on Sunday is different from watching B on Saturday & A on Sunday, so it's
8P2 = 56
Using the permutation formula, it is found that you can choose a movie to see this Saturday and one to see this Sunday in 56 ways.
The order in which the movies are chosen is important, as they are respective to different days, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 2 movies will be chosen from a set of 8, hence:
[tex]P_{(8,2)} = \frac{8!}{6!} = 8 \times 7 = 56[/tex]
Hence, you can choose a movie to see this Saturday and one to see this Sunday in 56 ways.
More can be learned about the permutation formula at https://brainly.com/question/25925367