Answer:
y = -¹/₁₄x + 3³/₁₄Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 14x - 2 ⇒ m₁=14
14×m₂ = -1 ⇒ m₂ = -¹/₁₄
The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:
3 = -¹/₁₄×3 + b must be true
3 = -³/₁₄ + b
b = 3³/₁₄
Therefore equation in slope-intercept form:
y = -¹/₁₄x + 3³/₁₄
Divide the fractions: Leave the answer as an improper fraction
1/5 divided by 2/11
Answer:
The an
Step-by-step explanation:
Answer:
11/4
Step-by-step explanation:
reciprocal methodchange the operation to multiplicationmultiplyreduce/simplify the fraction if needed (if the fraction is already reduced you don't have to reduce it)1 2
___ ÷ ___
2 11
1 11
___ ÷ ___2 2
1 11 11
___ × ___ = ___2 2 4
since 11/4 is already in a simplified/reduced form we don't need to reduce it or anything.
FINAL ANSWER: 11/4
Зx +1 <10
What is the answer for this
Answer:
x < 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Inequality
3x + 1 < 10
Step 2: Solve for x
Subtract 1 on both sides: 3x < 9Divide 3 on both sides: x < 3Here we see that any value x smaller than 3 would work as a solution to the inequality.
what is the geometric mean of
9 and 12
16 and 25
7 and 11
Answer:
Step-by-step explanation:
9 and 12 GM=[tex]\sqrt{9*12}[/tex]=10.39
16 and 25 gm=[tex]\sqrt{16*25}[/tex]=[tex]\sqrt{400}[/tex]=20
7 and 11 GM=[tex]\sqrt{7*11}[/tex]=8.77
Answer:
6sqrt(3)
20
sqrt(77)
Step-by-step explanation:
x is the geometric mean of a and b if the following equation is true.
a/x = x/b
9 and 12
9/x = x/12
x^2 = 9 * 12
x^2 = 108
x = sqrt(108)
x = 6sqrt(3)
16 and 26
16/x = x/25
x^2 = 16 * 25
x^2 = 400
x = 20
7 and 11
7/x = x/11
x^2 = 7 * 11
x = sqrt(77)
Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive to the beach.
64t = 384
What is the unit rate in the equation above?
A.
64 miles per hour
B.
320 miles per hour
C.
384 miles per hour
D.
6 miles per hour
9514 1404 393
Answer:
A. 64 miles per hour
Step-by-step explanation:
In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.
Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...
(miles/hour) × (hours) = miles
With numbers/variables, that is ...
(64 miles/hour) × (t hours) = 384 miles
The unit rate is 64 miles per hour.
What is the equation to a line with a slope of -3 and a y-intercept of 8?
Answer:
y=-3x+8
Step-by-step explanation:
y=mx+b
(m=slope and b=y-intercept)
Answer:
Step-by-step explanation:
let’s use this equation y = mx + b
where m = slope
and b = y intercept
since slope is -3, m = -3
and since y intercept is 8, b = 8
so the equation is
y = -3x +8
area of a square field is 1600 square metre. find the cost of boundary wall if the rate of per metre is Rs. 500
Answer:
Rs. 20,000
Step-by-step explanation:
the boundary wall will act as a perimeter.
the perimeter of a square field is 4S( S = side)
S x S = area
S2 = area
S =
square root of S2= square root of area
square root of S2 = S
S = square root of area
S = square root of 1600
S = 40m
perimeter = 4 x S
= 4 x 40
= 160m
1m = rs. 500
40m = 40m x rs.500
1m
=Rs. 20,000
how to solve
[tex] \sqrt{4} x {}^{2} = x + 2[/tex]
Answer:
➩ [tex]x=2,-\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{4x^2}=x+2[/tex]
➨ We can also solve by completing both squares, however. Since we can pull out the square root.
[tex]\sqrt{4x^2}=|2x|[/tex] ➩ Define of Absolute Value/Square Root
➩ [tex]\sqrt{x^2}=|x|[/tex]
Thus, our new equation is ➩ [tex]|2x|=x+2[/tex]
To solve an absolute-value equation, let there be two conditions.
➨ Where x ≥ 0
[tex]2x=x+2\\[/tex]
Move x to another side
[tex]2x-x=2\\x=2[/tex]
➨ Where x < 0
[tex]-2x=x+2\\-2x-x=2\\-3x=2\\x=\frac{2}{-3}\\x=-\frac{2}{3}[/tex]
In a football stadium, 43% of the crowd cheering for Team A, and 52% of the crowd is female. 19% of the crowd is cheering for Team A and female . What is the probability that a randomly selected Person from the crowd are cheering for Team A or female?
What needs to be corrected in this construction of a line parallel to AB passing through c?
second arc (centered at E)
E
first arc (centered at D)
F
B
D
ОА
The first arc should pass through C
OB.
The first arc should be centered at C
Ос.
The second arc should be centered at C
OD
The second arc should cross the first arc
OE The second arc should be centered at F
Dacat
Next
Answer:
The second arc should be centered at C.
Step-by-step explanation:
edmentum answer :)
hhhhhhhhhhhhhhellllllllllllllllllloooooooooooooppppppppppppppppp
Answer:
The answer is C. -3/4x+4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
y=(-3/4)x + 4
take any point on the line and go up 3 than left 4 and you will end up on the line again because slope is rise/run
the slope is negative because from left to right the line is downhill
Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction
Here is the full question:
Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.
Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.
Which equation correctly use the value of x to represents the cosine of angle A?
cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction
Answer:
cos(53°) = StartFraction y Over 5 EndFraction
Step-by-step explanation:
From the information above:
The sketch of the triangle is drawn and attached in the diagram below.
To find x using the sine rule,
We know that:
[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]
∴
[tex]Sin (53^0) = \dfrac{4}{x}[/tex]
Making x the subject of the formula:
[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]
[tex]x = \dfrac{4}{0.7986}[/tex]
[tex]x \simeq 5[/tex]
Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.
Recall that:
[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]
[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]
where; x = 5
[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]
Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:
cos(53°) = StartFraction y Over 5 EndFraction
Answer:
simple answer B
Step-by-step explanation:
Sam can clean the pool in 5 hours; his coworker Glenn can clean the same pool in 7 hours. One day Sam
started to clean the pool by himself and worked for an hour. Then Glenn joined him, and the finished
cleaning the pool. How long did it take them to finish cleaning the pool?
Answer:
23/12 hours or 1.9167 hours
Step-by-step explanation:
We are told that Sam can clean the pool in 5 hours. This implies 1:5
Also, his coworker Glenn can clean the same pool in 7 hours. This implies 1:7
Since it's the same pool, let's generate a workrate formula.
Thus;
(1/5)x + (1/7)x = 1
Where x is the amount of time used by both of them to clean 1 pool
Simplifying it, we multiply each term by 35 to get;
7x + 5x = 35
12x = 35
x = 35/12
We are now told that One day Sam
started to clean the pool by himself and worked for an hour.
Thus, remaining time after Sam worked 1 hour is; (35/12) - 1 = 23/12 hours
Thus, time they both used to finish cleaning the pool is 23/12 hours
please help, im desperate
Answer:
i think 124...is the answer
Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form
Answer:
8/3
Step-by-step explanation:
Given that:
Cost of violin = 13200 plus VAT at 20%
Cost of violin = (100 + 20)% * 13200
Cost of violin = 1.20 * 13200 = £15,840
Instalment pay = (360 * 12) = 4320
Therefore, deposit made equals ;
Total cost - Instalment pay
£(15,840 - 4320) = £11,520
Hence, ratio of deposit made to the total Instalment payment made ;
£11520 / £4320 = 8 / 3
The equation for the cost in dollars of producing computer chip is y = .000015x^2 - .03x +35. Where X is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for that number of chips?
Answer:
The equation for the cost in dollars of producing computer chips
The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.
Step-by-step explanation:
There is an animal farm where chickens and cows live. All together, there are 59 heads and 184 legs. How many chickens and cows are there on the farm?
Answer:
There are 33 cows and 26 chickens
Step-by-step explanation:
Problem Solving
This problem can easily be solved by using equations, but it's more fun to solve it through pure reasoning and arithmetics.
Let's imagine there are no cows on the farm. Just chickens. 59 chicken heads mean 59*2 = 118 legs.
Now let's take one chicken out and one cow in. The number of heads will remain the same, but now there are two more legs: 120 legs.
We are closer to the answer. The trick is to calculate how many chickens we have to exchange for cows knowing each change means two more legs.
Since we initially had 118 legs, we need to add 184 - 118 = 66 more legs.
62 more legs are 66/2 = 33 changes or 33 cows.
The number of chickens is 59 - 33 = 26
Answer: There are 33 cows and 26 chickens
Complete the table below for the function y 3.2 0. 0 1 2 3
HELP HELP HELP MEE Which point is located at (4, –2)?
A
B
C
D
Answer:
B
Step-by-step explanation:
Answer:
it's A
Step-by-step explanation:
if you look at Ait showa that the dot is at 4 and goes down to -2
I need help with this last question I have here
Answer:
its d
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The "quotient" is what you get after you divide 2 number, and in this case, you are dividing m/6.
Which of the scatterplots have no correlation? Check all that apply.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Answer:
2, 3, and 5
Step-by-step explanation:
got it right on test.
The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.
According to the given option,
The second has no slope, therefore there is no correlation.
The third has a zero average slope with no upward or descending trend; no correlation.
The fifth has a general increasing tendency and will have a non-zero correlation.
Thus, the scatterplots (B), (C), and (E) have no correlation.
Hence, the correct answer would be options (B), (C), and (E),
Learn more about the Scatter plot here:
brainly.com/question/1386565
#SPJ6
For a fundraiser, the Lexington High School football team is making ice cream sundaes, They can buy chocolate ice cream for $15 per gallon and vanilla ice cream for $10 per gallon. They need at least 25 gallons and have a budget of $300. The lines x + y = 25 and 15x +10y= 300 are graphed in the coordinate plane below where and represent the number of gallons of chocolate and vanilla ice cream, respectively.
Which region represents all the numbers of gallon of each flavor that the team could buy?
Region A
Region B
Region C
Region D
Answer:
region D
Step-by-step explanation:
all other regions are higher than $300
Answer:
C
Step-by-step explanation:
because its either A or C and when I did it I picked C and it was wrong.
¯\_(ツ)_/¯
Find the length of the unknown side. Round your answer to the nearest whole number.
Pls help thx 19 points
Answer:
7 inches
Step-by-step explanation:
you have to use the Pythagorean Theorem
Answer:
10 inches
Step-by-step explanation:
Assuming one of angles is 30 degrees we can use the theorem leg opposite to 30 degree angle the hypotenuse will be double than the leg measurements so it is 10 inches.
Use the table to write the rule (equation) for the relationship between x
and y.
х
у
0
4
1
5
2.
6
Answer:
y = x + 4 or x - y + 4 = 0
Step-by-step explanation:
The relation between "x" and "y" is linear.
Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1
Coordinates of y-intercept of the line (0, b) = (0, 4)
Slope-intercept form of a line equation is y = mx + b
The rule (equation) of line is y = x + 4
or x - y + 4 = 0 (in standard form)
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 6 options:
A)
right 2 and upward 3.
B)
right 3 and upward 2.
C)
left 3 and downward 2.
D)
left 2 and downward –3.
Answer:
A
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Then f(x - 2) represents a shift to the right of 2 units
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units
Answer:
right 2 and upward 3.
Step-by-step explanation: I took the test
Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____
Answer:
5000 is the best estimate
Which of the table in the image below represents a function?
Table 1
Input: 4, 3, 2
Output: 3, 2, 1
Table 2
Input: 1, 2, 3
Output: 3, 5, 7
Table 3
Input: 0, 1, 1
Output: 0, 4, 5
Table 4
Input: 4, 4, 4
Output: 1, 2, 3
Answer:
A
Step-by-step explanation:
Jesse plays basketball for his high school team. In his last 12 twelve games he scored the following points: 18, 22, 19, 15, 24, 22, 18, 15, 10, 14, 18, 10. Barbara plays basketball for her high school team. In her last 10 games she scored the following points: 15, 12, 12, 16, 18, 22, 16, 20, 20, 14. Determine which player had the largest range of points scored? What is the difference is the range of points between the two players?
In the form of a paragraph, explain in complete sentences the steps necessary to compute the range of the points, which team player had the largest range of points and include the final answer in your explanation. Complete your work in the space provided.
Answer:
Jesse has the largest range. To find the range you have to take the greatest value and the lowest value to find the range. Jesse's largest value is 24 points while his lowest is 10 points making his range 14 points. Barbara's highest value is 22 points while her lowest is 12 points making her range 10 points.
Step-by-step explanation:
24-10=14 Jesse
22-12=10 Barbara
A video posted on the internet is becoming very popular, and the total number of views is increasing by 40% every hour. If the video currently has 74,300 views, how many views will it have in 9 hours?
Answer:
74304 approx.Step-by-step explanation:
Step one:
given data
current view of the video is marked at =74300
the rate of increase is 40%
let the number of hours be x
and let the total views be y
hence the linear function for the total is
y=0.4x+74300
Required is the value of y when x=9
Step two:
substitute x=9
y=0.4(9)+74300
y=3.6+74300
y=74303.6
y=74304 approx.
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Answer:
8
Step-by-step explanation:
exact
127/9-5.89
14.11-5.89
8.22
estimating
14 1/9 is close to 14
5.89 is close to 6
14-6 is 8
Answer:
the answer is 8
Step-by-step explanation:
hope i help
A recipe calls for 0.8 oz of cheese. If I make 35 batches of this recipe, how many ounces of cheese do I need?
Answer:
28
Step-by-step explanation:
mm ya