A furniture maker uses the specification 21.88< or = w
Answers
According to the fact that abs(w-22) should be less than equal to 12, the answer should have a look like this : Iw - 22I < or = 0.12. I am pretty sure it will help you.
Next time check it carefully. Regards!
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Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Help me on this math pls!!!!!!!!!!!!!!!!!!!!!!!
A) (-1.5, 4)
B) (1.5, 10)
C) (4, -1.5)
D) (-1.5, -2)
Answers
-2x+y=7
4x-y=-4 +
2x+0y=3
2x=3
divide 2
x=3/2
sub
2x-y=-7
2(3/2)-y=-7
3-y=-7
minus 3
-y=-10
negative 1 times both sides
y=10
(3/2,10)
(1.5,10)
B is ansre
Answers
B.) 2n
C.) n²
Answers
All of the following expressions represent the sum of n and itself, except n² so option (C) will be correct.
What is an expression?
An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
The expression n + n is the sum of n and n(itself).
The expression 2n = n + n is the sum of n and n(itself).
The expression n² = n × n is the multiplication of two n, not a sum so it will not sum of n and itself.
Hence "All of the following expressions represent the sum of n and itself, except n²".
To learn more about expression,
#SPJ2
Answers
The dimensions of the length of the legs are 15 m and 20 m in the given right triangle.
What is Pythagoras's theorem?
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Let x be the length of one of the legs. Then the length of the other leg is 2x-10m. We can use the Pythagorean theorem to find the lengths of the legs.
We can write this as an equation:
x² + (2x - 10)² = 25²
5x²- 40x + 100 = 625
5x²- 40x + 100 - 625 = 0
5x²- 40x - 525 = 0
Divided by 5 into the above equation,
x²- 8x - 105 = 0
After solving the above quadratic equation, we get
x = 15 and x = -7
Take x = 15 as the length of one of the legs.
So, the length of the other leg is 2(15)-10 = 20 m.
Thus, the dimensions of the length of the legs are 15 m and 20 m.
Learn more about Pythagoras's theorem here:
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4x^2-40x+100+x^2=625
5x^2-40x+100-625=0
5x^2-40x-525=0
5(x^2-8x-105)=0
5(x-15)(x+7)=0
x-15=0
x=15 for the short side.
2*15-10
30-10=20 for the long side.
Proof:
15^2+20^2=25^2
225+400=625
625=625
0.3024
0.15
1.11
Answers
Answer:
Option B is correct
0.3024
Step-by-step explanation:
Definition:
If event A and B are independent, then;
Given that:
Suppose Q and R are independent events.
We have to find
It is given that:
and
then by definition we have;
Substitute the given values we have;
Simplify:
Therefore, the value of is 0.3024
Q and R are independent if p(Q and R)=p(Q)*p(R)
Here p(Q and R)=0.63-0.48=0.3024
ANSWER B