It will take 6 years for the trees to have same height.
Step-by-step explanation:
Type A tree;
Initial height = 9 feet
We will convert feet into inches because growth is in inches.
1 feet = 12 inches
9 feet = 12*9 = 108 inches
Growth rate = 6 inches per year
Let,
x be the number of years.
A(x) = 108 + 6x
Type B;
Initial height = 4 feet = 4*12 = 48 inches
Growth rate = 16 inches per year
B(x) = 48 + 16x
The height will be same, when functions are equal
A(x) = B(x)
Dividing both sides by 6
It will take 6 years for the trees to have same height.
Keywords: function, division
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Option B
5 hundredths is not the way to express 0.50
<h3><u>Solution:</u></h3>
Given that Three of the choices are ways to express 0.50
To find: wrong option
Let us first write 0.50 in different ways
<h3><em><u>
To convert a Decimal to a Fraction follow these steps:
</u></em></h3>
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...
Step 3: Simplify (or reduce) the fraction.
means 50 hundredths
<h3>Therefore option D is correct</h3>
On simplifying we can write,
means one half
<h3>Therefore option A (one half) is correct</h3>
Similarly, \frac{5}{10} means 5 tenths
<h3>Therefore Option C is also correct</h3>
Thus the wrong option is B
<em><u>Justification:</u></em>
5 hundredths can be written as:
Therefore option B is wrong
Answer:
C. 3 in x 6 in
Step-by-step explanation:
Jammal cuts the block in a straight line parallel to one side... so the section revealed when he finishes his cut will be identical as the parallel side to which the cut is done.
We know the the left side of the prism on the image is 3 inches wide and 6 inches high... so that will also be the dimensions of the exposed cross section.
The answer is then 3 inches y 6 inches. The thickness of the block (5 inches) has no impact on the exposed area of the cross-section.
Answer:
the equation should be corrected to fit the data of the problem. With the corrected equation a mass of 0.5 grams remains after 150 years
Step-by-step explanation:
for the mass y( in grams)
y=23* (1/2)^(t/45), t ≥ 0.
the initial mass is at t=0 , then
y= 23 grams → should be 16 grams
half-life from the equation = 45 years → should be 30 years
the correct equation should be
y=16*(1/2)^(t/30), t ≥ 0
then after 150 years → t= 150
y=16*(1/2)^(150/30)= 16*(1/2)^5 = 16/32 = 0.5 grams
then a mass of 0.5 grams remains after 150 years
Answer:
Slope is undefined
Step-by-step explanation:
