Answer:
X2 = 1.0792
Y2 = 2.0594
ΔX = 4.0792
ΔY = 3.0594
θ = 36.869897645844°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
OR
X2 = -7.0792
Y2 = -4.0594
ΔX = -4.0792
ΔY = -3.0594
θ = 216.86989764584°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
Write the equation of a line that passes through the point (4, -2) and is perpendicular to y = 3.
Answer:
x = 4
Step-by-step explanation:
When something is perpendicular, it must form a 90° or right angle [it will make a square]. Also keep in mind that perpendicular lines have reciprocal [numerator and denominator switch] slopes [steepness]
If you are given a line with a slope of zero like y = 3, any given line of x will be perpendicular. This is because when y = n; x is undefined. When x = n ; y is undefined. Since you want a line that will go through point (4, -2) and will be perpendicular to y = 3, just set x to the value of x in the coordinate. And in this case x is 4 so x = 4 will be the equation.
solve for x -2x + 2 = x -13
Answer:
x = 5
Step-by-step explanation:
Add 2x to both sides: 2 = 3x - 13
Add 13 to each side: 15 = 3x
Divide both sides by 3: 5 = x
Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15
Please help! I'm writing a test and don't have much time. Step by step please! (20 point)
Answer:
-3+6x
x+3
Step-by-step explanation:
Answer:
23x^3+9x^2-5x+1/x^2
Step-by-step explanation:
I hope you don't mind me putting my explanation as a screenshot of this lol
(THIS IS 30 POINTS!!) In Ms. Hollbrook's class, 62% of the class enjoys watching anime. If there are 32 students in Ms. Hollbrooks class, about how many students enjoy watching anime?
A) 12 students
B) 14 students
C) 16 students
D) 20 students
Answer:
D)
Step-by-step explanation:
32*0.62=19.84≈20.
Simplify using Synthetic Division
Evaluate the expression when b=9 .
24/9 + 8 =
Answer:
Answer:
Exact Form:
32 /3
Decimal Form:
10. 6
Mixed Number Form:
10
2 /3
Step-by-step explanation:
The table shows values for functions f(x) and g(x) .
What is the solution to f(x)=g(x) ?
Select each correct answer.
A. −3
B. −2
C. −1
D. 0
E. 1
F. 2
G. 3
geometric mean of 384 and 6
Answer:
48 is the geometric mean of 384 and 6
What is the ratio of the calories Robyn
burned on Wednesday le the celories she
burned on Monday?
Question isn't complete but we make assumptions in order to complete the question and explain
Answer and explanation:
If we are given a table on calories burned by Robyn on weekdays from Monday to Friday and on this table Robyn burnt 500 calories on Monday and burnt 400 calories on Wednesday, then we are required to determine the ratio of calories burnt on Wednesday to calories burnt on Monday:
Calories burnt on Wednesday = 400
Calories burnt on Monday =500
Ratio of calories burnt on Wednesday to calories burnt on Monday =400/500=4/5
Ratio =4:5
A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experience in writing grants. The president randomly selected 30 members and surveyed the selected members on their grant-writing experience. Of the 30 selected members, 12 indicated that they did have the experience. Have the conditions for inference with a one-sample z -interval been met
Answer:
Yes the sample can be use to make inference
Step-by-step explanation:
The inference is possible if the conditions:
p*n > 10 and q*n > 10
where p and q are the proportion probability of success and q = 1 - p
n is sample size
Then p = 12 / 30 = 0,4 q = 1 - 0,4 q = 0,6
And p*n = 0,4 * 30 = 12 12 > 10
And q*n = 0,6 * 30 = 18 18 > 10
Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met
To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.
No, the sample size is not less than 10% of the population size,
Given:
The total number of council member are 200.
The randomly selected members are 30 .
Calculate the ratio of randomly selected members and total number of council member.
[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]
Thus, No, the sample size is not less than 10% of the population size.
Learn more about z-interval here:
https://brainly.com/question/7204089
A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioningsystems:
Yes No
Evidence of electrical failure Yes 55 17
Electrical failure No 32 3
The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability.
a. That failure involves a gas leak
b. That there is evidence of electrical failure given that there was a gas leak
c. That there is evidence of a gas leak given that there is evidence of electrical failure
Answer:
A) 0.8131 ≈ 0.81
B) 0.6322 ≈ 0.63
C) 0.7639 ≈ 0.77
Step-by-step explanation:
A)
Total number of units
= 55 + 32 + 17 + 3
= 107
hence the probability that the failure involves a gas leak
= ( 55 + 32 ) / 107
= 0.8131
B) probability that there is evidence of electrical failure given tat there is a gas leak
P ( A / B ) = [tex]\frac{P(A n B)}{P(B)}[/tex]
P( A∩B ) = 55/107 = 0.5140
P ( B ) = ( 55 + 32 ) / 107 = 0.8131
hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322
A = failure due to electrical
B = failure due to gas leak
C) Probability of a gas leak given that there is evidence of electrical failure
P ( B / A ) = [tex]\frac{P(BnA)}{P(A)}[/tex]
P ( B ∩ A ) = 0.5140
P( A ) = ( 55 + 17 ) / 107 = 0.6729
hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639
wei kiat is 4 times as old as hafiz. Find the ratio of Wei kiat's age to hafiz's age. pls help
need help on these math questions. please and thank u
9514 1404 393
Answer:
a) x = -3
b) y = (28/27)x -27
Step-by-step explanation:
a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...
x = constant
For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...
x = -3
__
b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...
m = -1/(-27/28) = 28/27
Using the point-slope equation for a line, we can model Ace Rd as ...
y -y1 = m(x -x1)
y -1 = (28/27)(x -27)
y = (28/27)x -27
Please. help me guys.
Answer:
40
Step-by-step explanation:
there are 4 quarters so if one quarter is 10 then 4 quarters are 40
10 x 4 = 40
PLEASE HELP WITH THESE QUESTIONS I HAVE 5 MINUTES LEFT
What is 4 superscript 5 written in expanded form?
O 4 + 4 + 4 + 4 + 4
O 4 times 4 times 4 times 4 times 4
O 5 + 5 + 5 + 5
O 5 times 5 times 5 times 5
Answer:
4+4+4+4+5
Step-by-step explanation:
is 5 times the number only expanded
Answer:
4+4+4+4+5
Step-by-step explanation:
Given that P=x+y. Find P when: x=−5 and y=−3
Answer:
P = - 8
Step-by-step explanation:
Given
P = x + y ← substitute x = - 5 and y = - 3
P = - 5 + (- 3) = - 5 - 3 = - 8
identify the independent variable for this function
Explanation:
Time progresses without any control over it, so it's something that does not depend on any other factor such as distance. On the other hand, as the time value changes, the distance changes. So the distance is dependent on the time.
The horizontal axis is the x axis, and the x value is always the independent variable. The vertical y axis is the distance. The y value is always the dependent variable.
The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year
Answer:
The equation is given by:
[tex]n = \frac{7}{10} \times 45.50[/tex]
Step-by-step explanation:
During last years's charity walk, she raised $45.50.
During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:
[tex]n = \frac{7}{10} \times 45.50[/tex]
Answer: 45.50=0.7n
Step-by-step explanation:
Someone help me on question 10 please!
Answer:
Step-by-step explanation:
500÷9=55.56miles/h (correct to 3 decimal places)
If 8 people can be seated at a dinner table, how many tables are required to seat 48 people?
Answer:
6 tables
Step-by-step explanation:
8 multiply by 6 gives you 48
-4x-y=24 complete the missing value in the solution to the equation
Answer:
point
Step-by-step explanation:
Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24
Answer:
-4,-5
Step-by-step explanation:
Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.
4(-24 - 4y) - 2y = -6
-96 -16y -2y = -6
-18y = 90
y = -5
Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4
Find the perimeter of the following shape:
Answer:
itas niot hard. its 10+10+7+7. the 9 is meaning if it was a striaghjt line, and that is the length of the straight line.
Step-by-step explanation:
I really need help on this question.!
Answer:
[tex]60 + 55 + x + 20 = 180 \\ x + 135 = 180 \\ x = 180 - 135 \\ x = 45[/tex]
There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses. How many tulips were there?
Answer:
I think the answer is 12 (sorry if i misunderstood the question)
Step-by-step explanation:
Because if there are 10 things of roses and tulips and then 2 more tulips are added in the question in total thats 12.... 10+2=12
4.(06.02 MC)
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB In slope-Intercept form that contains point (3,-2). (4 points)
O y = 2x + 4
O y = 2x - 8
Answer:
The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
y = 2x- 8Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the equation of a line
y = 2x + 4
comparing with the slope-intercept form of the line equation
The slope of the line AB is m = 2
We know that the parallel lines have the same slope.
Thus, the slope of the new line is also 2.
now we have,
The slope of new line m = 2The point = (3, -2)Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 2 and the point (x₁, y₁) = (3, -2)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y - (-2) = 2(x - 3)
y + 2 = 2x - 6
subtracting 2 from both sides
y + 2 - 2 = 2x - 6 - 2
y = 2x- 8
Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
y = 2x- 8Solve the inequality.
2>6-3r
The solution is
Answer:
r=9
Step-by-step explanation:
A man spend 10% of his salary on rent, 25% on food, 18% on transportation and the balance he saves. If his salary is $1500 per month, how much does he save each month?
Answer:
He saved $705 pls mark brainliest
Step-by-step explanation:
So 10% is $150 and 25% is 375 and 18% is 270 so you would add all those togeather to get 795 and 1500-795 is 705 so he saved $705!
Craig has 5/8 of a bottle of glue but the recipe calls for three quarters a bottle. Does he have enough
Answer:
No, he doesn't have enough
Step-by-step explanation:
In eights, three quarters of a bottle is equal to 6/8.
Since 5/8 is smaller than 6/8, Craig won't have enough glue.
So, the answer is no.
Answer:
NO
Step-by-step explanation:
3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8
Which type of transformation is described by (x, y)
->
+ (x + 3, y — 2)?
Answer:
(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.
Step-by-step explanation:
Given the rule of transformation:
(x, y) → (x+3, y-2)
If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.
In other words,
(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.
For example,
Let say if we have the point A(4, 5)
Using the translation rule:
(x, y) → (x+3, y-2)
A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)
Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)
