Y- x=-2 is parallel ?
Answer:
Answers
Answer:
yes and the slope of the line parallel to that is 1
Step-by-step explanation:
Answer:
yes, also y = 3x +1 is parallel to y = x - 2
Step-by-step explanation:
slope of the line parallel to the line y = x - 2 should be 1.
Related Questions
i’ll mark brainlest
Answers
Answer: blank number 1 would be 4, and blank number 2 would be 8. then, blank number 3 would be 3. blank number 4 would be 2,048.
Explaination:
the starting number of employees is 4, so that starts off as our base number in the first blank. we are multiplying the 4 by how many will be there in 8 years, so that's why it goes in the second blank. now, we are tripling this every year, so that goes in the 3rd blank as the exponent. multiply all that together in a calculator, and you get 2,048.
Volume of a cylinder with polynomials radius is x+3 and height is x+11
Answers
Answer:
The formula for the volume of a cylinder is:
V = πr^2h
where r is the radius of the cylinder and h is its height.
In this case, the radius is x+3 and the height is x+11, so we can substitute these values into the formula:
V = π(x+3)^2(x+11)
Simplifying this expression, we have:
V = π(x^2 + 6x + 9)(x+11)
V = π(x^3 + 17x^2 + 69x + 99)
Therefore, the volume of the cylinder with radius x+3 and height x+11 is π(x^3 + 17x^2 + 69x + 99) cubic units.
Find the area of the circle. Use 3.14
42 mm
Answers
Answer:
A = 5538.96mm
Step-by-step explanation:
A = πr2
A = π × 422
A = 1764π
A = 5538.96
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Joanne wants to buy a dishwasher. The dishwasher costs £372. Joanne will pay a deposit of £36. She will then pay the rest of the cost in 4 equal monthly payments. How much is each monthly payment?
Answers
Answer:
£84
Step-by-step explanation:
The total cost of the dishwasher is: £372
The deposit she makes is: £36
Thus, she still has to pay the following amount:
£372 - £36 = £336
And this amount will be divided into 4 equal monthly payments. So, we must divide the amount that she still has to pay by 4.
Each one of this monthly payments will have a value of:
£336 ÷ 4 = £84
the answer is that each monthly payment will be of £84
a group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. the purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. in particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college in a typical week differs from the mean of u.s. college students in general, which is estimated to be 4.73. the group of 54 students in the study reported an average of 5.
Answers
We do not have sufficient evidence to conclude that the mean number of alcoholic drinks consumed by students at the liberal arts college is significantly different from the mean number consumed by college students in general.
We need to conduct a hypothesis test to determine whether the mean number of alcoholic drinks consumed by students at the liberal arts college is significantly different from the mean number consumed by college students in general.
To conduct the hypothesis test, we need to set up the null and alternative hypotheses.
Null Hypothesis: The mean number of alcoholic drinks consumed by students at the liberal arts college is equal to the mean number consumed by college students in general (μ = 4.73).
Alternative Hypothesis: The mean number of alcoholic drinks consumed by students at the liberal arts college is not equal to the mean number consumed by college students in general (μ ≠ 4.73).
We would then need to calculate the test statistic, which would be a t-score. This can be calculated using the formula:
t = (x bar - μ) / (s / √n)
where x bar is the sample mean (5), μ is the hypothesized population mean (4.73), s is the sample standard deviation, and n is the sample size (54).
Assuming that the sample standard deviation is unknown, we would need to estimate it using the sample data. This gives us:
s = √[Σ(xi - x bar)² / (n - 1)] = 3.05
Plugging in the values, we get:
t = (5 - 4.73) / (3.05 / √54) = 1.67
To determine the p-value, we would need to consult a t-distribution table with 53 degrees of freedom (n - 1). The p-value corresponding to a t-score of 1.67 with 53 degrees of freedom is approximately 0.102.
Since the p-value is greater than the level of significance (α) typically chosen (0.05), we fail to reject the null hypothesis. This means we do not have sufficient evidence to conclude that the mean number of alcoholic drinks consumed by students at the liberal arts college is significantly different from the mean number consumed by college students in general.
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I can’t figure this out
Answers
its the first one or A
Answer:
The answer to that is the first one :)
what would be the sum and carry for this function on a truth table
Q = (X*2) + (Y/2) + Z
Answers
To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.
The given function is\(Q = (X*2) + (Y/2) + Z\)
Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3
From the truth table above, we can see that the sum of Q for all eight input combinations is 12.
To find the carry, we will need to determine the maximum output value for the given function.
We can observe that the highest output value is 3.5.
Therefore, there is no carry for this function since the highest output value is less than four.
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Factor the given polynomial completely.
12y⁴-66y³+30y²
Answers
Answer:
6y²(2y - 1)(y - 5)
Step-by-step explanation:
12\(y^{4}\) - 66y³ + 30y² ← factor out 6y² from each term
= 6y²(2y² - 11y + 5) ← factor the quadratic
consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term, that is
product = 2 × 5 = 10 and sum = - 11
the factors are - 1 and - 10
use these factors to split the y- term
2y² - y - 10y + 5 ( factor the first/second and third/fourth terms )
y(2y - 1) - 5(2y - 1) ← factor out (2y - 1) from each term
(2y - 1)(y - 5)
then
12\(y^{4}\) - 66y³ + 30y² = 6y²(2y - 1)(y - 5)
\(12y {}^{4} - 66y {}^{3} + 30y {}^{2} \\ 6y {}^{2} (2y {}^{2} - 11y + 5) \\ 6y {}^{2} (2y {}^{2} - y - 10y + 5) \\ 6y {}^{2} (y(2y - 1) - 5(2y - 1)) \\ 6y {}^{2} (2y - 1)(y - 5)\)
x-2y=4 in slope intercept form
Answers
Answer:
y = 1/2x - 2
Step-by-step explanation:
Slope intercept form:
y = mx + b
x - 2y = 4
-2y = -x + 4
2y = x - 4
y = 1/2x - 2
Slope intercept form: y = mx + b
y= answer, y-value
m=slope
x= independent variable, x-value
b= y-intercept (0,b)
x-2y=4
1. Isolate 2y by adding x to both sides of the equation: 2y = 4+x
2. Isolate y by dividing 2 to both sides of the equation: y = 2+(1/2)x
3. Rearrange in slope intercept form.
y=(1/2)x + 2
what is 982 rounded to the nearest hundred
Answers
Why does it say it’s incorrect-
When the 982 rounded to the nearest hundred so it comes 1000.
The following information should be relevant:
At the time of rounding off the numbers, we have to look at whether the tens digit is 5 or more or it should be less than 4 or 4.If it is 5 or more so the same should be rounded up.And, if it is 4 or less so the same should be rounded down.Therefore we can conclude that When the 982 rounded to the nearest hundred so it comes 1000.
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P(Music/Drama) round to the nearest percent
Answers
Using it's concept, the probability that a randomly selected student is in music/drama is: 25%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Hence, in this problem, the probability will be found dividing the number of students that are in music or drama by the total number of students.
These data is given in a table, which is not given in this exercise. Researching this problem on the internet, we have that there are 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100 students, of which 7 + 13 + 5 = 25 are in music/drama, hence the probability is:
P = 25/100 = 25%.
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Find the slope of the line.
A. 5
B. -5
C. 1/5
D. -1/5
Answers
Answer:
C) 1/5
Step-by-step explanation:
rise/run
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Fruit Company A recently released a new applesauce. By the end of its first year, profits on this product amounted to $37.100. The anticipated profit for the end of the fourth year is$58,400. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit.a. Write a linear function P(x) that expresses profit as a function of time.P(x) = 7100x + 30000the profit should reach $108,100 in how many years?
Answers
Okay, here we have this:
We need to calculate in how many years the profit should reach $108,100, so, let's replce in the function P(x):
108100=7100x+30000
Now, we are going to clear x:
108100=7100x+30000
7100x=78100
x=11
Finally we have that it will take eleven years to reach earnings of $ 78,100.
Complete the steps to solve for x.
4
1
7X - 5=
X = 13
4
7*- 5* = 13
Ex
= 13
35
Answers
Answer:
45
Step-by-step explanation:
The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answers
Answer:
above sea level
Step-by-step explanation:
The midpoint of AB is M(-5, 1). If the coordinates of A are (-4,-5), what are
the coordinates of B?
Answers
Answer:
-6, 7
Step-by-step explanation:
Answer: B(-6,7)
Step-by-step explanation:
M(-5, 1) A(-4,-5) B(x,y)=?
\(\displaystyle\\M_x=\frac{x_A+x_B}{2} \\\\-5=\frac{-4+x_B}{2}\\\\\)
Multiply both parts of the equation by 2:
\(-5(2)=-4+x_B\\\\-10=-4+x_B\\\\-10+4=-4+x_B+4\\\\-6=x_B\\\\Thus,\ x_B=-6\)
\(\displaystyle\\\\\\1=\frac{-5+y_B}{2} \\\\\)
Multiply both parts of the equation by 2:
\(1(2)=-5+y_B\\\\2=-5+y_B\\\\2+5=-5+y_B+5\\\\7=y_B\\\\Thus,\ y_B=7\)
Calculate the 95onfidence interval for the true population mean based on a sample with =225, =8.5, and =45. function
Answers
The true population mean is (222.52, 227.48) with a 95% confidence interval.
What is the critical factor?The critical factor for a 90% confidence interval for the true population mean is given by;
Critical factor = (x-μ)/(s/√n)
where, x = sample mean repair cost
s = standard deviation of a sample
n = sample of stereos
μ = critical value
⇒ P(-1.96< (x-μ)/(s/√n) < 1.96) = 0.95
⇒ P(-1.96×(s/√n) < (x-μ) < 1.96×(s/√n)) = 0.95
⇒ P(x - 1.96×(s/√n) < μ < x + 1.96×(s/√n)) = 0.95
95% confidence interval for
⇒ μ = (x - 1.96×(s/√n) , x + 1.96×(s/√n))
Here, x = 225, s = 8.5, and n = 45
⇒ μ = (225- 1.96×(10.81/√13) , 225+ 1.96×(10.81/√13))
⇒ μ = (222.52, 227.48)
Hence, the true population mean is (222.52, 227.48) with a 95% confidence interval.
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The question seems to be incomplete the correct question would be
Calculate the 95% confidence interval for the true population mean based on a sample with x=225, s=8.5, and n=45.
1.Given the following:
D: μ≥1000;
E: μ<1000
D and E represent respectively.
Select one:
a. H(a) and H(0)
b. H(0) and H(a)
c. Type I error and Type II error
Answers
Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
How to determine D: μ≥1000; E: μ<1000?Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).
The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.
The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.
Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 9 people took the trip. She was able to purchase coach tickets for $200 and first class tickets for $1010. She used her total budget for airfare for the trip, which was $6660. How many first class tickets did she buy? How many coach tickets did she buy?
Answers
The number of first class tickets bought by Sarah is 6
The number of coach tickets bought by Sarah is 3
How to find the required number of ticketsThe problem is a simultaneous equation of two unknowns with two equations.
The equations are formed as follows
let x people be for coach ticket and y be for first class ticket
Sarah a total of 9 people took the trip.
x + y = 9
She was able to purchase coach tickets for $200 and first class tickets for $1010. She used her total budget for airfare for the trip, which was $6660
$200x + $1010y = $6660
The simultaneous equation
x + y = 9
$200x + $1010y = $6660
solving the simultaneous equation gives
x = 3 and y = 6
Hence the number of coach tickets = 3 and the number of first class tickets = 9
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.please help!!!!!!!!
Answers
Answer:
226.19 cubic units
Step-by-step explanation:
radius = r = 6 units
height = h = 6 units.
To find the volume of resulting solid, subtract the volume of cone from the volume of hemisphere.
Volume of the resulting solid = Volume of hemisphere - volume of cone
\(\sf \bf = \dfrac{2}{3}\pi r^3 - \dfrac{1}{3}\pi r^2h\\\\\\=\dfrac{2}{3}*3.14*6*6*6 - \dfrac{1}{3}*3.14*6*6*6\\\\\\=(3.14*6*6*6)(\dfrac{2}{3}-\dfrac{1}{3})\\\\=3.14*6*6*6**\dfrac{1}{3}\\\\=3.14*6*6*2\\\\=226.19 \ cubic \ units\)
The Central Limit Theorem is important in Statistics because it allows us to use the normal distribution to make inferences concerning the population mean: O provided that the population from which the sample was drawn is normal and the sample size is reasonably large. O provided that the population size is reasonably large (whether the population distribution is known or not). O provided that the sample size is reasonably large (for any population). o provided that the population from which the sample was drawn is normal.
Answers
The correct statement is: provided that the sample size is reasonably large (for any population).
Why the statement provided that the sample size is reasonably large is correct?The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.
These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).
Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.
This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters
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12. A hot air balloon is flying at an altitude of 1,000 ft. The pilot wants to increase the altitude of
the balloon at 5° angle over the next 500 ft. What will be the balloon's change in altitude?
(sin 5° -0.0872; cos 5º = 0.9962; tan 5° = 0.0875)
A. 25.8 ft
B 43.7 ft
C. 231.4 ft
D. 498 ft
Answers
Balloon's altitude = 43.7ft as
change in altitude/500 = tan 5°
change in altitude = .0875*500
=43.7ft
What is the value of the expression below when z=6z=6 and w=7w=7?
8z+7w
Answers
8z + 7w; z = 6; w = 7
8z + 7w
=(8x6) + (7x7)
=48 + 49
=97
The answer is 97.
Answer:
97
Step-by-step explanation:
BIG BRAIN
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question-
jack jogs and rides his bike for a total of 75 minutes every day. he rides his bike 15 minutes more than he jogs.
part a: write a pair of linear equations to show the relationship between the number of minutes jack jogs (x) and the number of minutes he rides his bike (y) every day.
part b: how much time does jack spend jogging every day?
part c: is it possible for jack to have spent 60 minutes riding his bike every day? explain your reasoning.
Answers
The answers have been shown below.
To find the answers:Questions regarding the time spent by Jack jogging and bike riding are needed to be answered.
(A) The equations are \(x+y=75, y=15+x\)
Time spent jogging is 30 minutes
The total time would be \(45+60=105\) minutes which is not equal to 75 minutes.
(B) Let \(x\) be the time spent jogging.
\(y\) be the time spent bike riding.
\(x+y=75\\y=15+x\\x+15+x=75\\2x+15=75\\x=\frac{75-15}{2} =30\)
Time spent jogging is 30 minutes.
\(y=60\\x+y=75\)
(C) If he rides his bike 15 minutes longer than he jogs then he would have to jog \(60-15 = 45\) minutes.
Therefore, the total time would be \(45+60=105\) minutes which is not equal to 75 minutes.
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When calculating simple interest, what must you do if you want to invest for months instead of years?
Answers
Answer:
Interest rates are annual, so you must convert the units into years.
Step-by-step explanation:
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9) Willie took a trip to Oman. Upon leaving he decided to convert all of his Rials back into dollars. How many dollars did he receive if he exchanged 12 Rials at the rate of 1 Rial to $3?
10) A rectangle is 2 in wide and 1 in tall. If it is enlarged to a width of 14 in then how tall will it be?
Answers
number 9 is 36 12x3 is 36
find the open intervals over which the function is increasing or decreasing. write the answers in interval notation.
Answers
Given a quadratic function y = 36 - x² , the intervals over which the function is increasing is: (-∞ , 0) and the intervals over which the function is decreasing is: (0, ∞).
The standard form of a quadratic function is given by:
f(x) = ax² + bx + c
If a > 0, the graph of the function opens upward and the extreme point is the minimum one.
If a < 0, the graph of the function opens downward and the extreme point is the maximum one.
In this case, the function is: y = 36 - x²
Since the coefficient of the quadratic term is negative, or a < 0, then the graph opens downward and has a maximum point.
y = 36 - x² is already in the form of perfect square, hence, we can immediately compute:
x-intercepts : (-6,0) and (6,0)
y-(intercept = maximum point = (0, 36)
Before the maximum point, the function is increasing, while after the maximum point, the function is decreasing.
Hence,
increasing interval = (-∞ , 0)
decreasing interval = (0, ∞)
Your question is incomplete, most likely, it was:
Find the open intervals over which the function is increasing or decreasing. write the answers in interval notation.
y = 36 - x²
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While sorting some change into piggy banks, Kyle put 4 coins in the first piggy bank, 6 coins in the second piggy bank, 9 coins in the third piggy bank, 13 coins in the fourth piggy bank, and 18 coins in the fifth piggy bank. If this pattern continues, how many coins will Kyle put in the sixth piggy bank?
Answers
Answer:24
Step-by-step explanation:4+2=6,6+3=9,9+4=13,13+5=18,18+6=24
Answer:
24
Step-by-step explanation:
because in first piggy bank has 4 coins and second has 6 . difference=6-4=2
second has 6 coins and third has 9 . difference= 9 - 6 = 3 third has 9 coins and fourth has 13 . difference=13-9=4
fourth has 13 and fifth has 18 coins difference is 18 -13 =5
then,sixth has 24 because all have 2 3 4 5 difference then six has 6
Help please ASAP :) please give answers to both questions
Answers
Answer:
2 cm
10 cm
Step-by-step explanation:
14/7 = 2
This helps to find because area of rectangle = bh or base times height.
A = 1/2 bh
30 = 1/2 b 6
30 = 3b
b = 10
Answer:
b = 2 cm
b = 10 cm
Step-by-step explanation:
Area of a Rectangle: A = lw
Area of a Triangle: A = 1/2bh
We are given area and length, so simply plug it in:
14 = 7w
w = 2 cm
We are given area and height, so simply plug it in:
30 = 1/2(6)(b)
30 = 3b
b = 10 cm
Simplify 6(3a - 8b + 2)
9a - 8b + 2
18a - 48b + 12
9a - 14b + 12
18a - 8b + 2
Answers
\( \sf = 6(3a - 8b + 2)\)
\( \sf = 18a - 48b + 12\)
Opsi : B
Answer:
Step-by-step explanation:
Distribute 6 to all terms in (3a - 8b + 2 )
6(3a - 8b + 2) = 6*3a - 6*8b + 6*2
= 18a - 48b + 12