Answer: 3x2 + 3x - 7
Step-by-step explanation: The first term is, 3x2 its coefficient is 3
The middle term is, +3x its coefficient is 3
The last term, the constant, is -7
1.Multiply the coefficient of the first term by the constant 3 times -7 = -21
2. Find two factors of -21 whose sum equals the coefficient of the middle term, which is 3
Radius is half of the diameter so the radius of 4 is 2
The correct option is D) Nosema ceranae.
The pathogen Nosema ceranae infected the highest percentage of honeybee colonies without colony collapse disorder.
<h3>What is Nosema Ceranae pathogen?</h3>
The microsporidian Nosema ceranae is a tiny, unicellular parasite that mostly infests Apis cerana, the Asiatic honey bee. The most common disease affecting adult honey bees, nosemosis is also caused by Nosema apis.
The Nosema Ceranae pathogen infected 81 percent of colonies without colony collapse disorder, according to the fourth row in the table.
Compared to the other pathogens' infection rates of 76, 48, and 5 percent, this is the greatest.
To know more about colony collapse disorder, visit: brainly.com/question/24825576
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<h3>
Answer: 24</h3>
Explanation:
The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.
In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.
The mode is 24.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using simultaneous equations to solve this problem.
Let's first establish the two equations we will be using.
Let integer no. 1 = x
Let integer no. 2 = y
Equation No. 1 -
x + y = - 7
Equation No. 2 -
xy = - 18
To begin with, we will make ( x ) the subject in the first equation.
Equation No. 1 -
x + y = - 7
x = - 7 - y
Next we will substitute the value of ( x ) from the first equation into the second equation to solve for ( y ).
Equation No. 2 -
xy = - 18
y ( - 7 - y ) = - 18
- 7y - y^2 = - 18
- y^2 - 7y + 18 = 0
- [ y^2 + 7y - 18 ] = 0
- [ y^2 + 9y - 2y - 18 ] = 0
- [ y ( y + 9 ) - 2 ( y + 9 ) ] = 0
- ( y + 9 ) ( y - 2 ) = 0
y + 9 = 0
y = - 9
OR
y - 2 = 0
y = 2
Then we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ).
Equation No. 1 -
x = - 7 - y
x = - 7 - ( - 9 )
x = - 7 + 9
x = 2
OR
x = - 7 - y
x = - 7 - ( 2 )
x = - 9
FINAL ANSWER:
Therefore, the answer is:
x = 2
y = - 9
OR
x = - 9
y = 2
The two integers are 2 and - 9 or - 9 and 2.
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