Answer: Use order of operations (PEMDAS). Answer is 45.72.
Step-by-step explanation:
First, solve inside parenthesis:
(5.25*1 1/5 - 4.5*4/5)
Convert 1 1/5 into decimal. It will be easier. 1 1/5 is the same as 1.2
Do multiplication and division first.
5.25*1.2 = 6.3
Now it looks like: (6.3 - 4.5*4/5)
Convert 4/5 to a decimal: 4/5 = 0.8
(6.3 - 4.5*0.8)
Multiply 4.5*0.8 = 3.7
Subtract (6.3 - 3.7) = 2.6
Now the full equation is: 19.6*2 1/5 + (2.6)
2 1/5 as a decimal: 2.2
Multiply 19.6*2.2 = 43.12
Now the equation is: 43.12 + 2.6
Add 43.12 + 2.6 = 45.72
Answer:
Option (C)
Step-by-step explanation:
Equation of the quadratic function having vertex at (3, 4) and opening upwards,
So the the minimum point of the function is (3, 4).
Therefore, minimum value of the function is 4 at x = 3.
y = (x - h)² + k [Here, (h, k) is the vertex]
g(x) = 2(x - 4)² + 3
Vertex of the parabola is (4, 3).
Since, leading coefficient is positive, parabola will open upwards.
Therefore, vertex will be the minimum point.
Minimum value of the function will be 3 at x = 4.
Minimum value of the function 'f' is greater than the minimum value of the function 'g'.
Option (C) will be the answer.
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches
Answer:
See explaination
Step-by-step explanation:
Probability is the number of desired outcomes over the total outcomes.
1) You want to find Oranges, so that is your desired outcome:
There are 4 oranges in the bowl.
Now sum up all the fruits to get the total:
9+4+7+3+6 = 29
Therefore you have 4/29
2) Same idea, count the peaches and put it over total:
3/29
3) This time, you still want to use the same idea, but its just your desired outcomes that have increased. So instead of just having one fruit, now you want to add the total of 2 fruits as your desired outcome.
(9+4)/29
= 13/29
4) To find the probability of a fruit other than a plum, you can use complementary counting. Since the maximum probability is one, we can find what we dont want, and the outcome of that subtracted from one must be the results that we want.
So a plum is 6/29
1-6/29 = 23/29
5) Same idea as what is used in problems 3 and 4, just a combination of the 2.
(4+3)/29
1-7/29
= 22/29
Answer:
Connexus: C,D,C,A,A.
Step-by-step explanation:
