1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex17521 [72]
2 years ago
12

Find the derivativeg(t)=7t4 –4t3 +6t2 +9t–19

Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

Answer:

<u>28t³ - 12t² + 12t + 1</u>

Step-by-step explanation:

<u><em>Derivative Rule</em></u>

  • xⁿ = nxⁿ⁻¹

<u>Solving</u>

  • g(t) = 7t⁴ - 4t³ + 6t² + 9t - 19
  • g'(t) = 4(7t)⁴⁻¹ - 3(4t)³⁻¹ + 2(6t)²⁻¹ + 1(9t)¹⁻¹ - 0
  • g'(t) = <u>28t³ - 12t² + 12t + 1</u>
You might be interested in
Here is the question here please answer
earnstyle [38]

Daaaaaaaaaammmmm that’s hard

4 0
3 years ago
Sally has £520
PIT_PIT [208]

Answer:

£132

Step-by-step explanation:

15% of  520 is 78

15% of 360 is 54

78 + 54 = 132

6 0
2 years ago
The answer to the problem
swat32
.bahajaiakijajwjwjwjwjwjnwjwq
5 0
3 years ago
Net income is equal to the total revenue from selling an item minus the cost of producing the item. Determine the net income if
Travka [436]
C-Cost because it the most reasonableness one
3 0
3 years ago
Geometry problem help!<br><br> Please refer to the image below...
Vinil7 [7]

Answer:

A. 1/3

B. √10

C. -1, 1

D. √8, 6

E. congruent and opposite pairs parallel

F. perpendicular, not congruent

G. rhombus, explanation below

Step-by-step explanation:

Hey there! I'm happy to help!

-----------------------------------------------------------------

A.

Slope is the rise over the run. Let's look at F to G.

We are going from -1 to 2 on our x-axis (run), so our run is 3 units.

Our rise is 1 unit as we go from 2 to 3 on the y-axis.

slope=\frac{rise}{run} =\frac{1}{3}

This slope is the same for all of the sides.

-----------------------------------------------------------------

B.

We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.

\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}

-----------------------------------------------------------------

C.

The diagonals are the lines that connect the non-adjacent vertices.

Our two diagonals are FH and GE.

-----------------------------

<u>FH</u>

We go from x-value -1 to 1 from F to H, so our run is 2.

We go from y-value 2 to 0. so our rise is -2.

slope=\frac{rise}{run} =-\frac{2}{2} =-1

-----------------------------

<u>GE</u>

We go from x-value -2 to 2 from E to G, so our run is 4.

We go from y-value -1 to 3. so our rise is 4.

slope=\frac{rise}{run} =\frac{4}{4} =1

-----------------------------------------------------------------

D.

Let's use the distance formula on each of our diagonals.

-----------------------------

<u>FH</u>

<u />\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}<u />

-----------------------------

<u>GE</u>

\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6

-----------------------------------------------------------------

E.

They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)

-----------------------------------------------------------------

F.

They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).

-----------------------------------------------------------------

G.

<u>Parallelogram-</u> quadrilateral with opposite pairs of parallel sides.

<u>Rhombus-</u> a parallelogram with four equal sides

<u>Square-</u> a rhombus with four right angles

We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.

-----------------------------------------------------------------

Have a wonderful day and keep on learning!

8 0
3 years ago
Other questions:
  • Four hundred sixty-eight thousands as decimal number
    6·2 answers
  • A square with one side length represented by an expression is shown below
    7·1 answer
  • (+×9)(×-2) can some one solve it
    14·1 answer
  • PLZ HELP ME HURRY!
    6·1 answer
  • Ariela is selling tickets to a play. Adult tickets cost $12.25 and children's tickets cost $8.75. The total amount of money she
    12·1 answer
  • 47. What is the 12th term of the geometric sequence?
    6·2 answers
  • What’s B<br> I have A squared and C square
    11·2 answers
  • Find the price of one toy car if 8 toy cars cost $63.92
    12·2 answers
  • Find an
    10·1 answer
  • Find each angle or arc measure.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!