Mathematics High School

9. The gradient of the curve y=kx⁴ at the point x = 2 is 128. Find the value of k.​

Answers

Answer 1

Answer:

k = 4

Step-by-step explanation:

Here, we want to find the value of k

Mathematically, the gradient of a curve is same as the first derivative

so the first derivative here is;

dy/dx = 4kx^3

Now, the value of x here is 2 while the value of y is 128

Substituting these values;

128 = 4k(2)^3

128 = 32k

k = 128/32

k = 4

Related Questions

i need help. what’s the answer to this .

Answers

Answer:

12

Step-by-step explanation:

I know bc i did this before

Answer:

72 unit cubes (72 units³)

Step-by-step explanation:

[tex]6\times3\times4=72[/tex]

How would u rewrite 4/5 and 1 2/3

Answers

Step-by-step explanation:

division fractions that's how u will rewrite them

Which of the following numbers is the SMALLEST?
(45 points)

Answers

Answer:

pretty sure its yellow sorry if its wrong

Step-by-step explanation:

Answer:

Hi! The answer to your question is C. 9 x [tex]10^{2}[/tex]

Step-by-step explanation:

※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

Hope this helps!!

- Brooklynn Deka

Don't forget to click the add button so we can be friends ( ´･･)ﾉ(._.`)

Can someone plz help me with the answer

Answers

Step-by-step explanation:

[tex] \frac{12 \times 8}{2} + {( \frac{8}{2}) }^{2} \pi = \\ = 48 + 16\pi[/tex]

98.24

Write an expression for the phrase. Jessica is eight inches less than twice Parkers height. Use P to represent parker.

Answers

Answer:

P = Parker

According to the question,

Equation for Jessica's height = 8 - 2P

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

-5p + 3

add like terms, then put into standard form!

Answer:

-5p+3

Step-by-step explanation:

-p-2-4p+5

-p-4p-2+5

-5p+3

Khan khan khan khan

Answers

Answer:

11

Step-by-step explanation:

it says motor cycles combined with garbage so add both of them then subtract that from the bull dosers

motor =18

garbage=4

18+4=22

bulldosers=11

22-11= 11 more

Answer:

11

Step-by-step explanation:

Can anyone help with what the formula to calculate the volume of a Rhombohedron (3D Rhombus) is? Could you also give me an example of how to do it please?

Answers

Answer: the formula is : β = 180° - α

A = 6 * a² * sin(α)

V = a³ * (1-cos(α)) * √1+2cos(α)

Sorry, i don't know any examples .

Step-by-step explanation:

3. The ratio of the side lengths of a pentagon is 1:3:4:6:9, and the perimeter is 115 yds. What is the measure of the 3rd longest side?

Answers

Answer:

20 yards

Step-by-step explanation:

By the given ratio, the side measurements are 1x, 3x, 4x, 6x, and 9x

We are given the perimeter of this shape is 115. Therefore, 1x+3x+4x+6x+9x=115.

We can solve that for x, so we can find each side measurements' numerical value.

(1+3+4+6+9)x=115

(23)x=115

x=115/23

x=5

So the side measurements are:

1x=1(5)=5

3x=3(5)=15

4x=4(5)=20

6x=6(5)=30

9x=9(5)=45

The third longest sife is 20 yards.

You must exert a force of 4.5 N on a book to slide it across a table. If you moved it 5 meters. How much work was done on the book?

Answers

Answer:

22.5 J

Step-by-step explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 4.5 × 5

We have the final answer as

22.5 J

Hope this helps you

There are twenty books on a shelf. Ten of them are science books, two are social studies, seven are math, and one is reading. What is the probability of choosing a science book, replacing it and then choosing another science book?

Answers

Answer: 1/4

Step-by-step explanation: Probability is favorable outcomes/ all outcomes, to first choose a science book, the probability is 10/20, or one-half, and then to pick one again, is also 1/2, so you multiply them together to find the probability of both happening and you get 1/4!

Solve the proportion
17/4 = y/6

Answers

Answer:

This is your answer ☺️☺️

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

okkkkkkkkkkkkkkkkkkkkk
There’s no picture or question?

helpppp plsssss(I’ll give 80 pointssss

Answers

Answer:

-4 + -6 = -10

Step-by-step explanation:

From the line at negative 4 it goes to negative 10 you need to add six to four to make ten. Though since it is negative numbers we add a negative 6

Daily question: what is 5 to the 3rd power?

Answers

Answer:

125

Step-by-step explanation:

5 to the 3rd power means 5³

5³ = 5x5x5

= 125

A 3-cup container of disinfectant costs $1.92. What is the price per fluid ounce?

Answers

Answer:

Its cost about 1.5625

if you rounded its 1.56 :)

Step-by-step explanation:

HELP ME PLZZ
A cone has a volume of 686 cubic centimeters. If the cone is 14cm high, what is its diameter?

Answers

Answer:

3.9mm

Step-by-step explanation:

In a large population, 92% of the households have cable tv. A simple random sample of 225 households is to be contacted and the sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions

Answers

Answer:

the mean and the standard deviation is 0.92 and 0.01808 respectively

Step-by-step explanation:

The computation of the mean and the standard deviation is shown below:

The mean is 0.92

And, the standard deviation is

= √0.92 × (1 - 0.92) ÷ √225

= √0.92 × 0.08 ÷ √225

= √0.0736 ÷ √225

= √3.27

= 0.01808

Hence, the mean and the standard deviation is 0.92 and 0.01808 respectively

Does anyone know the answer to this and if you do pls give it to me I need it ASAP

Answers

Answer:

7,3 if rounded up...

not rounded up..... 7, 3.3????? I think???

Slope-intercept form: y = mx + b

First find the slope : [tex]\frac{rise}{run} = \frac{-1}{3}[/tex]

Slope = -1/3

Now we got  y = -1/3x + b

Next find y-intercept. This is where your line crosses the y line (vertical)

Y-intercept = 3

b = 3

Answer: y = -1/3x + 3

Write the equation of the line based on the given information explain the answer in slope intercept form

Answers

Answer:

y = 2/3 x - 3

Step-by-step explanation:

substitute the given slope and the coordinate into the slope-intercpet form:

y = mx + b  to solve for b,

-1 = 2/3(3) + b

=> b = -3

y = 2/3 x - 3

The graph of g(x) is a parabola that opens upward with a vertex at (-3, 4). Which statement is true?​

Answers

we need to have statements to see which one is true

A number,
n
n, is multiplied by
−
0.7
−0.7. The product is
−
1
2
−
2
1
​
. What is the value of
n
n?

Answers

Answer:

0.8

Step-by-step explanation:

got it right on edg

Answer:

5/7

Step-by-step explanation:

can you guys help me asap

Answers

the answer should be D.

What is the area?

____ Square millimeters

Answers

Answer:  210 mm²

Step-by-step explanation:

A = 1/2(long base + short base) x height

A = 1/2(18 + 10)(15)

A = 1/2(28)(15)

A = 210 mm²

Last summer Olivia earned $3800 by selling cakes. She invested some of the money in a savings account that paid 4.5%/yr and the rest in a government bond that paid 5.5%/yr. After one year, she has earned $180 in interest. How much did she invest at each rate? [4]

Answers

Answer:

Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.

Step-by-step explanation:

With the information provided you can write the following equations:

x+y=3800 (1)

0.045x+0.055y=180 (2), where:

x is the amount invested in a savings account

y is the amount invested in a government bond

First, you can solve for x in (1):

x=3800-y (3)

Next, you can replace (3) in (2) and solve for y:

0.045(3800-y)+0.055y=180

171-0.045y+0.055y=180

0.01y=9

y=9/0.01

y=900

Finally, you can replace the value of y in (3) to find x:

x=3800-900

x=2900

According to this, the answer is that Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.

Can someone please help me with this? And please no links.​

Answers

Answer:

1x + 15?

Step-by-step explanation:

can somebody help me
[tex](15f + 37f + 53 + 55)[/tex]
​

Answers

Answer:

(15f + 37f + 52 + 55) = ?

15f + 37f = 52f

52 + 55 = 107

So, (15f + 37f + 52 + 55) = 52f + 107.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!


Give an example to show that when two prime numbers are added, the result
may be an odd number.

Answers

Answer:

2+3=5

Step-by-step explanation:

prime numbers =2 and 3

sum =5 which is odd

not sure how to do this. need help

Answers

Answer:

a) 25/2 or 12.5

b) 78,125

c) 625

d) 30,517,578,125

Can someone help me please

Answers

Answer:

its C

Step-by-step explanation:

Answer:

c. I believe

Step-by-step explanation:

because all of the other options dont go in a consistent order/pattern. C. matches the vertical side

please consider marking me as brainliest. as I explained my answer!

Please and thanks!

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