Answer:
300watts
Step-by-step explanation:
Given the power generated by an electrical device modeled by the equation
P(x) = -12x²+120x
The maximum power generated occurs when dP(x)/dx = 0
dP(x)/dx = -24x+120 = 0
-24x + 120 = 0
-24x = -120
x = 120/24
x = 5
Substitute x = 5 into the modeled function to get the maximum power as shown;
Recall that: P(x)=-12x^2+120x
P(5) = -12(5)² + 120(5)
P(5) = -12(25) + 600
P(5) = -300+600
P(5) = 300
Hence the maximum power generated by the circuit is 300watts
Which simplified ratio correctly compares 30 inches to 2 feet?
01:15
O 15:1
O 5:4
04:5
Answer:
15:1
Step-by-step explanation:
30/2=15
2/2 = 1
15:1
Which of the following is the value of the expression 3y + 5(x - 8) when x = 11 and y = -2
Answer:
9 Is the answer.
Step-by-step explanation:
So you have to substitute these values in to the equation and solve.
3(-2) +5(11-8)
-6+5(3)
-6+15
9
What property would you use to find an equivalent expression for 5(x - 2)?
Hey there!
You would use the distributive property. ( * = multiplication)
5(x - 2) = (5 * x) - (5 * 2) = 5x - 10
Hope it helps and have an amazing day!
5%of =13
what is the answer
Elena multiplies 0.06x0.5 on a calculator. the calculator shows a product of 0.03. Elena says the calculator must be broken because multiplying tenths by hundredths always gives a product in the thousands. is Elena's calculator broken?
Answer:
It is not broken
Answer:
it’s B:)
Step-by-step explanation:
Help
G
Fjdjdhdhdhdhdhdd
Answer:
The answer is 40
Step-by-step explanation:
in this question wave to find the perpendicular side of the triangle we apply the formula (perp)2 = (hyp)2-(base)2 and then after simplifying it do the square of it the answer comes 40
hope it will help you a lot
PLEASE HELP, WILL GIVE LOTS OF POINTS & BRAINLY
solve the 2 questions!
Answer:
5) we get a=6
6) we get c=8
Step-by-step explanation:
The triangles given are similar.
When the triangles are similar, the ratio of corresponding sides are also similar.
5) If c = 12, find a
We will use the ratio
[tex]\frac{30}{12}=\frac{15}{a}[/tex]
Now cross multiply to find value of a
[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]
So, we get a=6
6. If b = 6.4, find c
We will use the ratio
[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]
Now cross multiply to find value of b
[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]
So, we get c=8
Solve the equation 1/4(16+12x) =28 by first using the distributive property
Answer: x=8
Step-by-step explanation:
Answer:
The equivalent equation is found by distributing the 1/4 to get 4 + 3x = 28
The first step is subtract 4 to both sides.
The second step is divide both sides by 3.
The answer is x = 8
i did it wrong in edg, but it shows the correct answers at the end :)
which of the following fractions is not simplest form
4/15
7/10
9/12
3/4
Answer:
9/12
Step-by-step explanation:
you can divide both numbers by 3 to make 3/4
In 3x + 5y - 6 the coefficient of y is ?
Select the correct answer.
The dot plot shows the highest daily temperature recorded in a city each year for the past 15 years. What is the interquartile range of the data?
A.
97
B.
6
C.
98
D.
4
Answer:a
Step-by-step explanation:
I would explain but it’s a lot of work sorry
Answer:
it's 4 because i got it right 100%
Step-by-step explanation:
The purple figure is composed of small squares with side-length 1 unit and curves that are an arc of a circle.
Area of the circle:
Perimeter of the circle:
Answer:
Area = 3.141593 units ²
Perimeter = 6.283185 units
Step-by-step explanation:
Area = πr² = π1² = 3.141593 units ²
Perimeter = 2πr = 2π(1) = 6.283185 units
Please help with this!! Triangles and angles
Answer:
Hello, for the second question, you can actually form a triangle from the line. From there, you can see the height (aka y) will be easier to solve. I hope this helps!
Ans: 1) 47.5
2) 3.4
Step-by-step explanation:
A recent report indicated that 22 percent of the households in a certain community speak a
language other than English at home. A reporter will randomly select a household from the
community until the first houehold that speaks a language other than English at home is
selected. Let random variable Q represent the number of attempts needed until the first
household that speaks a language other than English at home is selected. The random variable
Q has a geometric distribution with p = 0.22. Which of the following is closest to the variance
of the random variable?
Answer:
16.1157
Step-by-step explanation:
The random variable Q has a geometric distribution with p = 0.22. The variance of the random variable will be 16.1157.
What is the variance of the random variable?A spread measure for a random variable distribution quantifies how much the values of a random variable deviate from the value that is predicted.
For a discrete random variable, the variance is determined by adding the square of the difference between the value of the random variable and the anticipated value, together with the chance that the value of the random variable will occur, across all of the values of the random variable.
It is given that 22 percent of people in the community speak a language other than English at home.
The required number of tries should be represented by the random variable Q.
The geometric distribution of the random variable Q has a p-value of 0.22.
The variance of a random variable is
V(Q) = (1-p)/p²
V(Q) = (1-0.22)/(0.22)²
V(Q) =0.78/0.484
V(Q) =16.1157
Thus, the random variable Q has a geometric distribution with p = 0.22. The variance of the random variable will be 16.1157.
Learn more about the variance of the random variable here,
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pls answer
Which point is a reflection of M(-5, -6) across the y-axis?
A.
point P
B.
point Q
C.
point R
D.
point S
E.
point T
Answer:
p
Step-by-step explanation:
its beginning to look a lot like christmas
7- (2x + 1) + 4x
help pls
Somebody please explain to me how to do this
Answer:
g(x)=x^2 + 3
Step-by-step explanation:
Michelle bought 3 pounds of apples for $2.77 per pound. How much did she spend on three pounds of apples?
Answer:
3x-20
Step-by-step explanation:
Answer
8.31
Step-by-step explanation:
2.77 * 3 = 8.31
to check my answer i did addition
2.77 + 2.77 + 2.77 = 8.31
What is the area of the triangle
Answer:
24
Step-by-step explanation:
8 × 6 = 48
48 ÷ 2 = 24
hope this helps...
The graph shows the function
y
y = sin(x) + 6
1 -
$
y = cos(x) - 6
y = sin(x) - 6
y = cos(x) + 6
-8
DONE
Answer: y=sin(x)-6
Step-by-step explanation: I guessed and got it right lol
A teacher driving to a conference in a school van records the number of gallons of gas used and the number of miles traveled,
Complete the table to show the case where there is a proportional relationship between the number of gallons of gas used by the school van and the number of miles traveled.
Answer:
The answer is 275 and 12
Step-by-step explanation:
I did it in school city 2021 and Im in Honors Math please make me brainliest
Answer:
the answer is 40-60 and the last one is 20 and 300
Step-by-step explanation:
just add them andnadj ehado it
which is the angle of elevation from the submarine to the boat? <1, <2 ,<4 <3
Answer:
<1
Step-by-step explanation:
When an observer is at the same level with the submarine, his line of sight above the horizontal upward to the boat would form an angle called the angle of elevation.
Thus, the angle of elevation from the submarine to the boat is marked as <1. <1 is the angle of elevation from the submarine.
86
Work out the size of angle x.
51
The measure of angle x is 129 degrees.
Given that the two parallel lines making angles 51° and x°, these are consecutive angles between the parallel we need to find the measure of x,
So, we know that,
If two lines are parallel, the consecutive interior angles formed by a transversal are supplementary, meaning their measures add up to 180 degrees.
In this case, we have one angle measuring 51 degrees. Let's denote the other angle as x degrees.
Since the angles are consecutive, their measures add up to 180 degrees:
51° + x° = 180°
To find the value of x, we can solve this equation by isolating x:
x° = 180° - 51°
x° = 129°
Therefore, the measure of angle x is 129 degrees.
Learn more about consecutive interior angles click;
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Show me a graph of y = 2.5x.
Answer:
right, i think this is what u want. hope this helps!
Step-by-step explanation:
3/4 of ... is 15/28
what is the ...
Answer:
2/5
Step-by-step explanation:
Hope you have a good day! :)
Carol buys last years best selling novel, in hardcover, for $20.70. This is with a 10% discount from the original price. What was the original price of the novel ?
When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 8.5% and you want to have $500,000 when you retire in 45 years, how much would you need to deposit, at the beginning of each month, to reach this goal?
Answer: The answer is A
PLEASE HELP DUE IN 10 MINS!!!!! I will give out brainiest to first answer
Don't send me a random answer I will report it.
Answer:
So your equation would be 1.50 + 2.85 = x
and your varible would be x
Step-by-step explanation:
x= 4.35
Today's luches cost $4.35
I hope that I did this right.
8.
+
-8-64
2
2
68
-4
-6
-8-
For what value of y do both equations have the same solution for x?
Answer:
4
Step-by-step explanation:
The y-coordinate of the point where both lines intersect will give us the same solution for x.
At y = 4, both equations will have a corresponding x-value of 1.
Therefore, the value of y that that will make both equations have the same solution of x is 4.
Two similar triangles are shown below:
Which two sets of angles are corresponding angles?
