Answer:
y=9x^2 + 8
Step-by-step explanation:
using the power rule, we will differentiate each term separately
d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2
d/dx of 8x = 8x^(1-1) = 8
d/dx of -7 = 0
combining them we get the derivative which is y = 9x^2 + 8
Answer:
9x² + 8
Step-by-step explanation:
The given function to us is ,
[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]
And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have
[tex]\implies y = 3x^3 + 8x - 7 [/tex]
Recall that , the derivative of constant is 0 . Therefore ,
[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]
Hence the derivative of given function is 9x² + 8 .
The side of an equilateral triangle is 22. Find the exact length of the altitude.
Use the exact value, meaning leave your answer with a radical.
PLEASE HELP THE TEST IS DUE IN 5 MINS
Step-by-step explanation:
here's the answer to your question
Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?
(B * 7 ) - (36 * 4) = 184
7B + (36 * 4) = 184
184 - (36 * 4) = B/7
184/4 = B * 7
Answer:
7B + (36 * 4) = 184
Step-by-step explanation:
In a family restaurant there are 36 tables and 7 booths.
Each table can seat 4 people.
Let the number of people who can be seated in a booth be represented by B.
Total seating capacity of the restaurant is 184 people.
Expressing this as an equation:
Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form.
Answer:
[tex]a_n = -11-14n[/tex]
Step-by-step explanation:
Given
[tex]a_1 = -25[/tex]
[tex]a_n = a_{n-1}-14[/tex]
Required
The explicit formula
First, calculate [tex]a_2[/tex]
Set n=2; So:
[tex]a_2 = a_{2-1}-14[/tex]
[tex]a_2 = a_{1}-14[/tex]
Substitute -25 for [tex]a_1[/tex]
[tex]a_2 = -25-14[/tex]
[tex]a_2 = -39[/tex]
Calculate the common difference (d)
[tex]d = a_2 - a_1[/tex]
[tex]d = -39 --25[/tex]
[tex]d = -14[/tex]
So, the nth term is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = -25+ (n - 1)*-14[/tex]
Open bracket
[tex]a_n = -25-14n + 14[/tex]
Collect like terms
[tex]a_n = 14-25-14n[/tex]
[tex]a_n = -11-14n[/tex]
simplify(x_2y)(x_2y)_(x+2y)(x+2y)
Answer:
-8xy
Step-by-step explanation:
Expand
( x − 2 y ) ( x − 2 y )
x ⋅ x + x ( − 2 y ) − 2 yx − 2 y ( − 2 y ) − ( x+ 2 y ) ( x + 2 y )
x2−4xy+4y2−(x+2y)(x+2y)
x2−4xy+4y2+(−x−(2y))(x+2y)
Multiply2by−1.x2−4xy+4y2+(−x−2y)(x+2y)
x2−4xy+4y2−x⋅x−x(2y)−2yx−2y(2y)
x2−4xy+4y2−x2−4xy−4y2
− 8xy
Instructions: Find AB. given that line AD is the perpendicular bisector of BC.
Answer:
19
Step-by-step explanation:
because line a d divided the triangle ABC into two equal halves therefore line a b is equal to line AC which is equal to 19
Determine the x-intercepts of the function. Check all that apply.
(–2, 0)
(–1, –2)
(0, 0)
(1, 0)
(2, 0)
Answer:
-2,-1,0,1,2
Step-by-step explanation:
Answer:
-2.0
0,0
Step-by-step explanation:
i just did the test
If you sell 25 items at $150 a piece and your commission rate is 40%, how
much commission do you earn?
Answer: 1500 dollars.
Step-by-step explanation:
25 * 150 = 3750 (dollars) - total sale amount;
3750 : 100% * 40% = 1500 (dollars) - commission.
What is the answer to this question?
Answer:
yeah,I think it's 16 ...
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.
How can Preena share 11 identical apples among 30 of her classmates evenly so that no apple is sliced into more than 10 pieces?
Answer:
Step-by-step explanation:
you can divide 11/30 and get 0.37
0.37%/ 100*11 =
Multiply:
0.37*11 =
add the 100 to the product you multiplied and divide them together:
4.07/100=
your quotient:
0.0407
round by 2 decimals:
0.04
your final answer is :
0.04
If a car is moving on a straight line with a velocity of 40 m/s and it changes its velocity to 60 m/s in 4 seconds, calculate its acceleration.
Answer:
5m/s²
Step-by-step explanation:
Given :-
Initial Velocity = 40m/s Final velocity = 60 m/sTime = 4sTo Find :-
The acceleration .Solution :-
We know that the rate of change of velocity is called acceleration. Therefore ,
[tex]\sf\implies a = v - u / t \\ [/tex]
[tex]\sf\implies a = 60m/s - 40m/s/ 4 \\ [/tex]
[tex]\sf\implies a = 20m/s \div 4 \\[/tex]
[tex]\bf\implies a = 5m/s^2[/tex]
What number could replace the box so that the system of equations has
infinitely many solutions?
A. -9
B. 3
C. 9
D. -3
Answer:
d || if its wrong cancel me lol <3
Step-by-step explanation:
write a function rule for the following data
need help please thanks
Answer:
C
Step-by-step explanation:
All angles in a triangle add up to 180°.
63 + 52 = 115°.
180 - 115 = 65°, so part of the answer is done, y = 65°.
The angle next to y is a vertical angle.
61 + 65 = 126°.
180 - 126 = 54°.
So, x = 54°, y = 65°.
Find the missing angle measures.
Answer:
<ABD = 42 degrees
<ABC = 84 degrees
Step-by-step explanation:
<ABC = 42 + 42 = 84
What is the value of (3/10)^3?
♡ 3/1000
♡27/1000
♡9/10
♡27/10
Answer:
27/10 is the value of (3/10)^3.
Step-by-step explanation:
It is also written as 0.027
Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²
Answer:
a. 125 * 0.04 * 625 = 5 * 625 = 3125
b. a^2 * x^3
c. x^10 * x^ y^15
Last one: x^9 * y^4
Step-by-step explanation:
Because yes.
find the coefficient of variation from the following data mean=4 variance=25
Selecting a few households from New York City and observing whether or not they own stocks when it is known that 28% of all households in New York City own stocks. Is this experiment a binomial experiment? Explain why.
Answer:
Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.
Step-by-step explanation:
We have to take into consideration three things:
For each household, there are only two possible outcomes, either they own stocks, or they do not.
The probability of a household owning stock is independent of any other household, that is, for any household, the probability of someone owning stocks is 28%.
There is a fixed number of trials.
Is this experiment a binomial experiment?
Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's use the formula for the work rate:
Ted's work rate = 1/3 of the field per hour
Jacob's work rate = 1/2 of the field per hour
Together, their work rate.
= (1/3 + 1/2) of the field per hour
Now,
We can simplify the equation for the combined work rate by finding a common denominator:
(1/3 + 1/2)
= (2/6 + 3/6)
= 5/6 of the field per hour
Now we can use the formula for the work rate to solve the time it would take them to clear the field together:
(5/6)t = 1
(where t is the time in hours)
Solving for t:
(5/6)t = 1
t = 6/5
Therefore,
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ7
I need some one to help me!!
Is (7, 0) a solution to the equation y = x − 7?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCoordinates (x, y)
Step-by-step explanation:
Step 1: Define
Identify
Point (7, 0)
Equation y = x - 7
Step 2: Find
Substitute in point [Equation]: 0 = 7 - 7Subtract: 0 = 0Since 0 = 0 is true, then it would be a solution to the equation.
The total profit P of manufacturing x hundred DVD's is given by the equation below.
P = 600 + 1,500x − 100x2
Find x if the total profit is $5,600.
Answer:
x = -7.5
Step-by-step explanation:
P = 600 + 1,500x − 100x^2
P = − 100x^2 + 1,500x + 600
x = -b/2a
1500/ (2 x -100)
x = -7.5
6 times the diffrence of 12 and 9 divided by 3
Answer:
1
Step-by-step explanation:
The difference of 12 and 9 is 12 - 9 = 3
Then 3 ÷ 3 = 1
PLZ ANSWER ILL GIVE BRAINLIEST!
Answer:
It is A, E, and F
Step-by-step explanation:
Which of the following statements must be true about a rhombus?
The consecutive sides of a rhombus are parallel.
The diagonals of a rhombus are perpendicular.
The diagonals of a rhombus are congruent.
The opposite angles of a rhombus are supplementary.
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular
Answer: Choice B) The diagonals of a rhombus are perpendicular
=============================================================
Explanation:
Let's go through the answer choices to see which are true statements, and which are false.
A) This is false because consecutive sides must meet up at a vertex point, or else they won't be next to each other. Consecutive sides can never be parallel (regardless what type of quadrilateral we're dealing with, or any polygon for that matter). In other words, consecutive sides share a common point on both segments, which is why they're not parallel. Instead, it should be phrased as "opposite sides of a rhombus are parallel" which is a true statement. B) This is true. If the diagonals are perpendicular, then we could have either a kite or a rhombus. C) This is false. If the diagonals are congruent, then we have a rectangle. We could have a square (which is both a rhombus and a rectangle at the same time), but that's only for specific cases. In a more general sense, we could have a non-square rectangle that isn't a rhombus. D) This is false. A rhombus is a type of parallelogram. For any parallelogram, the opposite angles are always the same measure. The only time the angles are supplementary is when we have a rectangle; otherwise, the angles won't add to 180.Find the length of line segment XY, assuming that M is the midpoint of XY
Answer:
Step-by-step explanation:
M is the midpoint. SO length of XM equals length of MY
MY = XM
9x + 12 = 5x + 8
Subtract 12 from both sides
9x = 5x +8 - 12
9x = 5x - 4
Subtract 5x from both sides
9x - 5x = -4
4x = -4
Divide both sides by 4
x = -4/4
x = -1
XY = 5x + 8
= 5*(-1) + 8
= -5 + 8
XY = 3
MY = 9x + 12
= 9*(-1)1 + 12
= -9 + 12
MY = 3
X Y = 3+3
XY = 6
Two men p and q set off from a base camp r prospecting for o,p moves 40km on a bearing 205 degree and q moves 30km on a bearing of 060 degree
a. Find the distance of q from p
b. The bearing of q from p
Answer:
(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°
= 400+225−600cos145°
= 625+600×0.8192
= 491.52+625
/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41
≊33km ( to the nearest whole number)
(b) By sine rule,
sin<QPR15=sin14533.41
sin<QPR=15sin14533.41
sin<QPR=15×0.573633.41=0.2575
<QPR=14.92°
∴ Bearing of Q from P = 25° + 14.92° = 39.92°.
≊40° (to nearest whole number)
Step-by-step explanation:
hope it helps
...
Which of the following is an extranous solution
Answer:
x=2 is the answer
Step-by-step explanation:
ILL GIVE BRAINLIEST PLZ ANSWER
Answer:
-6
Step-by-step explanation:
y = -6x - 5
The equation is put in slope intercept form
( y = mx + b )
Where m = slope and b = y intercept
-6 is in the spot of "m"
Meaning that the slope would be -6
Answer:
slope is -6
Step-by-step explanation:
y = mx+b
m is slope :)
b is the point, where the line intersects the y axis
What is true about an equation with infinite solutions?
When both sides of the equation are simplified, the coefficients are the same.
When both sides of the equation are simplified, the constants are different.
There are no input values that will result in a true statement.
Only one input value will result in a true statement.
When both sides of the equation are simplified, the coefficients are the same.
Step-by-step explanation:
An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same
Answer:
The answer is A.
