I need some help with this problem
Answers
Second blank 5.9 meters left
Third blank 50 meters
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Verify the identity:cos(a+B)/cos a sin B = cot B -tan a
Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of years since the iguanas were introduced into the garden.i(x) = 12(1.9)^xRewrite this function in a form that reveals the monthly growth rate of the population of iguanas in the garden. Round the growth factor to the nearest thousandth.
What is the value of 8/36 in lowest terms?A. 4/18B. 1/2C.2/9D. 1/4
B) (1, 16.5)
C) (3, 49.5)
D) (5, 82.5)
Answers
Answer:
Option B.
Step-by-step explanation:
Consider the below table attached with this question.
It is given that Cambridge has a job mowing lawns. He mowed 5 lawns last week and earned $82.50.
We need to find the coordinate pair that represents the unit rate for this situation.
Unit rate represent the value of dependent variable when the value of independent variable is 1.
In the given situation, dependent variable is earnings and independent variable is number of lawns.
5 lawns = $82.50
Divide both sides by 5.
1 lawns = $16.5
So, the unit rate rate is $16.5 and the required coordinates are (1,16.5).
Therefore, the correct option is B.
B. It is shifted 5 unit(s) left.
C. It is shifted 5 unit(s) up.
D. It is shifted 5 unit(s) down.
Answers
to move graph c units right, minus c from every x
from
f(x)=-4x^2-5 to
f(x)=-4x^2
minused 5 from whole function
basicaly it is 5 units down from -4x^2
D
7+11+15+19+23
Answers
3x − 2 = 5(x + 2)
3x − 2 = 5x + 10
8x = 8
x = 1
Answers
The original equation: 7(x + 2) = 2x − 1
Eliminate parentheses on the left: 7x + 14 = 2x - 1
Subtract 2x from each side: 5x + 14 = -1
Subtract 14 from each side: 5x = -15
Divide each side by 5 : x = -3
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Jeff thought he had solved a similar equation, but his solution is not correct.
Here are his steps, with my commentary:
3x − 2 = 5(x + 2) The original equation, to be solved.
3x − 2 = 5x + 10 Eliminated parentheses on the right, correctly.
8x = 8 Subtracted 5x from each side, incorrectly.
Left side should be -2x, not 8x .
Added 2 to each side, incorrectly.
Right side should be 12, not 8.
x = 1 Divided each side by 8, correctly.
But the input from the previous step was garbage,
so the output from this one is garbage.
Jeff should have taken a moment to check his solution,
back in the original equation.
The original equation: 3x − 2 = 5(x + 2)
If x = 1, then 3(1) - 2 = 5 (1 + 2)
3 - 2 = 5 (3)
1 = 15 I'm afraid not.
Poor Jeff.
No, because the light bulb distributor trusts the LED bulb manufacturer.
Yes, because the LED bulb manufacturer may benefit from the survey results.
Yes, because the light bulb distributor wants to become a "green" company.
Answers
Answer:
C. Yes, because the LED bulb manufacturer may benefit from the survey results.
Step-by-step explanation:
We are given that,
'An LED bulb manufacturer gives the study with the result that LED light bulbs are better for the environment than the traditional bulbs'.
Now, if the light bulb distributor further shows the result to the consumers, they would like to buy LED bulbs.
So, the demand for the LED bulbs would increase. For that, the distributor would have to order more LED bulbs from the manufacturer.
Thus, the supply of LED bulbs would increase for the manufacturer resulting in increase in revenue.
Hence, the LED manufacturer may benefit from the survey result.
Yes, because the LED bulb manufacturer may benefit from the survey results.
If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.
Answers
The graph of y = (3/8)x - 5 and y = (3/8)x + 2 are parallel since both graphs have the same slope.
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The graph of two equations is parallel if the slope of each of the equations is the same.
The two equations are:
y = (3/8)x - 5 _____(1)
y = (3/8)x + 2 _____(2)
This is in the form of y = mx + c
Where m is the slope.
Now,
From (1 ) and (2) we see that,
m = 3/8
Thus,
The graphs are parallel.
Learn more about equation of a line here:
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