Answer:
x= -2
Step-by-step explanation: (remember the 6 in this equation is positive so you'll subtract it and the 2 is actually -2x. First, you'll subtract 6 from itself and 10, the two 6's cancel out and 10-6=4. Then, you'll divide -2 and 4 by -2, the two -2's cancel out and 4 divided by -2 is -2. Finally, you'll see that x = -2. This is all done by the order of operations also known as PEMDAS. )
6 - 2x =10
-6 -6
-----------------
-2x = 4
------------
-2 = -2
x = -2
b. y = sin x
c. y = sec x
d. y = cos x
The function is even will be y = sec x and y = cos x. Then the correct options are C and D.
Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.
The equation should be stored in an even function:
f(-x) = f(x)
Check all that apply.
a. y = csc x, then replace x with -x. Then we have
y = csc -x
y = 1/sin -x
y = - 1/ sin x
y = -csc x
b. y = sin x, then replace x with -x. Then we have
y = sin -x
y = - sin x
c. y = sec x, then replace x with -x. Then we have
y = sec-x
y = 1/cos -x
y = 1/ cos x
y = sec x
d. y = cos x, then replace x with -x. Then we have
y = cos -x
y = cos x
Thus, the function is even will be y = sec x and y = cos x.
Then the correct options are C and D.
More about the even function link is given below.
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Answer: c and d
Step-by-step explanation: they’re both even
Answer:
His daily fat intake is 40.824g.
His daily Vitamin D intake is 290.304 IU.
Step-by-step explanation:
The first step to solve this problem is finding the daily kcal intake of the dogs.
Each cup has 324 kcal, and he eats 3.5cups a day. So:
1 cup - 324 kcals
3.5 cups - x kcals
kcals.
His daily intake is of 1134 kcals.
The food contains 3.6 g of fat in 100 kcals of energy. what is his daily fat intake?
There are 3.6g of fat in 100 kcals of energy. How many g of fat are there in 1134 kcals?
3.6g - 100 kcals
xg - 1134 kcal
g
His daily fat intake is 40.824g.
The food contains 25.6 IU of Vitamin D3 in 100 kcals of energy. what is his daily Vitamin D inake?
Similar logic as above.
25.6IU - 100 kcals
x IU - 1134 kcal
IU
His daily Vitamin D intake is 290.304 IU.
Answer: 339
Step-by-step explanation:
Since the prior estimate of population proportion is unknown , then we take p= 0.5
Given : Margin of error : E=0.07
Critical value for 99% confidence interval :
Formula for sample size :-
Hence, the minimum sample size required = 339
i.e. they need to survey 339 residents.
To be at least 99% confident that the sample proportion is within 0.07 of the true proportion, the Arizona Department of Transportation needs to survey at least 753 residents.
To determine the minimum number of residents needed to survey in order to be at least 99% confident that the sample proportion is within 0.07 of the true proportion, we can use the formula:
n = (Zα/2)2p(1-p) / E2
Where:
Plugging in the values:
Calculating n:
n = (2.576)2(0.5)(1-0.5) / (0.07)2 = 752.92
Rounding up to the nearest whole number, the Arizona Department of Transportation needs to survey at least 753 residents to be at least 99% confident that the sample proportion is within 0.07 of the true proportion.
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