Answer:
Absolute value equation is:
|L - 72| ≤ 0.05
Solution is 71.05 ≤ L ≤ 72.5
Step-by-step explanation:
We are told that the length (l) of the boards that the company received varies from a maximum length of 0.05 inches longer than 6 feet to a minimum length of 0.05 inches shorter than 6 feet.
From conversions, 1 ft gives 12 inches. Thus, converting the 6 ft to inches gives us; 6 × 12 = 72 inches
This means that minimum value of L is 72 - 0.05 and maximum is 72 + 0.05.
Thus,the absolute value equation is;
|L - 72| ≤ 0.05
Solving this gives;
L - 72 ≤ 0.05 and -(L - 72) ≤ 0.05
This gives;
L ≤ 72 + 0.05 and -L + 72 ≤ 0.05
L ≤ 72.05 and 72 - 0.5 ≤ L
L ≤ 72.05 and 71.05 ≤ L
what is the value of expression below when x=2? 2x+6
Answer:
10
Step-by-step explanation:
2(2) + 6
4 + 6
10
Answer:
10
Step-by-step explanation:
Which rule describes the composition of transformations that maps ABC to A"B"C"?
O T-6.-2°rx-axis(x, y)
O rx-axis° T-6 -2(x, )
O T-6.-2°Ro, 90°(x,y)
O RO, 90° T -6, -2(x, y)
Answer:
The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2) ⇒ B
Step-by-step explanation:
Let us revise some rules of transformation
If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)If The point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)Look at the graph and list the vertice of each triangle
∵ A = (5, -5) and A' = (5, 5)
∵ B = (1, -2) and B' = (1, 2)
∵ C = (1, -5) and C' = (1, 5)
→ The signs of y-coordinates of all vertices of ΔABC are opposite
in ΔA'B'C'
∴ Δ ABC is reflected across the x-axis
∴ The rule is rx-axis (x, y) → (x, -y)
∵ A' = (5, 5) and A" = (-1, 3)
∵ -1 - 5 = -6 and 3 - 5 = -2
∵ B' = (1, 2) and B" = (-5, 0)
∵ -5 -1 = -6 and 0 - 2 = -2
∵ C' = (1, 5) and C" = (-5,3)
∵ -5 - 1 = -6 and 3 - 5 = -2
→ That means every x-coordinate in Δ A'B'C' added by -6 and every
y-coordinate add by -2
∴ Δ A'B'C' is translated 6 units to the left and 2 units down
∴ The rule is T (x, y) → (x - 6, y - 2)
The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2)
Transformation involves changing the position of a shape.
The transformation rule is (b) rx-axis° T-6 -2(x, y
First, triangle ABC is rotated across the x-axis.
The rule of this transformation is represented as: rx
Next, the resulting shape (i.e. triangle A'B'C') is translated 6 units left and 2 units down.
Using the coordinates of A as a guide, we have:
[tex]\mathbf{A = (5,-5)}[/tex]
Apply the first transformation: Rotate across the x-axis
[tex]\mathbf{A' = (5,5)}[/tex]
Apply the second transformation: Translate 6 units left, and 2 units down
[tex]\mathbf{A" = (5 - 6,5-2)}[/tex]
[tex]\mathbf{A" = (- 1,3)}[/tex]
Hence, the transformation rule is (b)
Read more about transformation at:
https://brainly.com/question/11707700
Use the graph to answer the following questions help please !!
Answer:
follow me,i'm geneous
10. A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour?
Answer:
1.5 inches I think
Step-by-step explanation:
18/12=1.5
Helen had $330 in her savings account when Vince opened a savings account with zero dollars.• Helen deposited $30 into her account each week for x weeks.• Vince deposited $50 into his account each week for x weeks.• The accounts did not earn interest.Which inequality represents this situation when the amount of money in Helen’s account wasgreater than the amount of money in Vince’s account?
Answer:
Step-by-step explanation:
C
Solve for x. −4≤11−3x
Answer: x ≤ 5
Explanation: −4 ≤ 11 − 3x = x ≤ 5
Answer:
The answer is x ≤ 5.
Step-by-step explanation:
Thomas spent $3.30 for 3 ice cream cones. Dan spent 2.50 for 2 ice cream cones. Who spent less per ice cream cone
Answer:
Thomas spent less per ice cream cone.
Step-by-step explanation:
Thomas spent $1.10 per ice cream cone.
Dan spent $1.25 per ice cream cone.
HELP PLEASE I NEED ANSWER QUICK!!!
Explain why a function is always a relation but a relation is not always a function.
Answer:
Function is always a relation because otherwise an equation could not be written about its spread behavior.
Function cannot have two ys to an x. So, a relation is not always a function.
Step-by-step explanation:
Answer:
Function is always a relation because otherwise an equation could not be written about its spread behavior.
Function cannot have two ys to an x. So, a relation is not always a function.
solve y=-2/5x+1/10 as a standard form
Answer:
The answer is 4x+10y=1 :)
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 164º. Find the value of x.
Answer:
x=50
Step-by-step explanation:
The value of the angle of the triangle 'x' will be 111°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The sum of the two interior angles of the triangle is equal to the exterior angle of the triangle.
x + 53° = 164°
Simplify the equation, then we have
x + 53° = 164°
x = 164° - 53°
x = 111°
The value of the angle of the triangle 'x' will be 111°.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
An item on sale costs 80% of the original price. The original price was $22.
Answer:
17.6
Step-by-step explanation:
22 x .80 =17.6
17.6 is 80% of 22 so that would be your answer
3 (4x-2) = 12 x how many solutions are there
The area of a square patio is 196 square feet. How long is each side of the patio?
Each foot of the patio would be 49 feet because a square has four equal side lengths and 196/4=49. now don't put you'll whole faith in me, this is a good guess.
Answer: 14
Step-by-step explanation: the square root of 196 is 14
help me its due today and its literally 12 am
Answer:You can have 3 tables of 15 people at each table, 15 tables of 3 people at each table, 5 tables of 9 people at each table, or 9 tables of 5 people at each table.
Hope this helps!
Step-by-step explanation:
evaluate....
shafheahyfbejik5ewhdsa
Answer:
Step-by-step explanation:
Option B is the correct answer
What is the slope of the line shown below.
2x-4y=12
m=
Answer:
M= 1/2
Step-by-step explanation:
Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
Write an equation to represent the relationship between the dollar amount Kiran is spending and the number of games, x, and the number of rides, y, he could play/ride. (Note: He is spending all of his money on some unknown combination of games and rides)
Answer:
0.25x + y = 12
Step-by-step explanation:
I am hoping that these steps will be self-explanatory, as I am not quite sure how to explain writing an equation:
0.25x + y = 12
Hope this helps :)
What is the unit rate of (0,0) (6,8)
Answer:
4/3.
Step-by-step explanation:
Unit rate is the same as slope. In order to find the slope, we are going to use this formula:
m = y2 - y1 / x2 - x1
Now, we substitute the numbers into the equation:
m = 8 - 0 / 6 - 0
m = 8/6
m = 4/3
Therefore, the unit rate is 4/3.
Mason made 3/4 of a pound of trail mix if he puts 3/8 of a pound Into each bag how many bags can Mason fill? please show me how to work this out with the answer
Answer:
0.2815
Step-by-step explanation: you need to mulitply 3/4 times 3/8 and you will get 0.2815 hope this helped
-4.6+5.3 help please thank you are the best
Answer:
0.7
Step-by-step explanation:
Answer:0.7
Step-by-step explanation: you can use a Calculator to help
What of the value of x in the equation 8x+9=5x+6?
Answer:
-1
Step-by-step explanation:
hope that helps :)
Find the percent increase. Round to the nearest percent.
From 15 friends to 16 friends
Answer:
107%
Step-by-step explanation:
15-100%
16-x%
x%=16*100/15=106.6%~107%
David made a scale model of the Sam Houston Statue. The statue has an actual height of 67 feet. David's model used a scale in which 1 inch represents 10 feet. What is the height in inches of David's model?
Answer:
6.7 inches
Step-by-step explanation:
the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.
A plane intersects a pentagonal pyramid horizontally parallel to the base. Describe the cross-section if the pyramid is sliced.
Answer:
A pentagon.
Step-by-step explanation:
The pyramid has five slanting sides above the base.
The cross-section will be a pentagon.
I need help pleaseeeeeeeee
Im need help im not that clever
Answer:
42.23
Step-by-step explanation:
The bill given after the voucher was used was 36.72.
If we multiply 36.72 with the voucher amount of 15% or .15
36.72*.15=5.508
We then have to add 5.508 to 36.72.
36.72+5.508=42.228=42.23 when rounding up.
Solve for the value of s.
(35+6)/(25-1)º
Answer:
615/360º
Step-by-step explanation:
Given h(x) = -x + 4, solve for a when h(x) = 0.
Which of these is defined as a part of a line that is bounded by two end points?
ray
angle
point
line segment
Answer: Line Segment.
Step-by-step explanation:
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using a line above the symbols for the two endpoints (such as ĀB).
Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line
Answer:
slope=.5
intercept= 1
URGENT PLEASE HELP MAX POINTS
a line has a slope of -3 and a y intercept of 5 write the equation of the line in slope intercept form and explain how you would use the slope and y intercept to graph the equation
Answer:
y = -3x + 5
First plot the y-intercept on the graph, then you go down/up based on the slope, in this case the slope is -3, so you go down three units and to the right 1 unit and then you will get your next point.
Step-by-step explanation:
Hope This Helps!
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