x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Step-by-step explanation:
Given,
Number of banana breads and nut breads to bake = at most 30
At most 30 means the amount cannot exceed 30.
Selling price of each banana bread = $2.50
Selling price of each nut bread = $2.75
Amount to make = $44 at least
At least 44 means that the amount cannot be less than 44.
Let,
x represent the number of loaves of banana bread to be sold
y represent the number of loaves of nut bread to be sold
x+y≤30
2.50x+2.75y≥44
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Keywords: linear inequalities, addition
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Answer:
81x^4
Step-by-step explanation:
Apply the product rule to 3x
3^4x^4
Raise 3 to the power of 4
81x^4
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Answer:
The value of x is approximately 0.3684.
Step-by-step explanation:
Given:

We need to solve the proportion.
Solution:
Now we can see that;
In given equation one number is fraction and other number is whole number.
Now To make whole number into fraction we will divide by 1.
hence the whole number will be equal to;

Now the new equation will be;

Now by cross multiplication we get;

Now dividing both side by 19 we get;

Hence the value of x is approximately 0.3684.
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
Answer:
Growth
Step-by-step explanation: