Name all of the quadrilaterals that have the given attributes.

Given:

The equation of the curve is:

[tex]y=x^{\frac{5}{2}}[/tex]

To find:

The gradient of the given curve at the point where [tex]x = 4[/tex].

Solution:

We have,

[tex]y=x^{\frac{5}{2}}[/tex]

Differentiate with respect to x.

[tex]y'=\dfrac{5}{2}x^{\frac{5}{2}-1}[/tex]       [tex][\because \dfrac{d}{dx}x^n=nx^{n-1}][/tex]

[tex]y'=\dfrac{5}{2}x^{\frac{3}{2}}[/tex]

Substituting [tex]x=4[/tex], we get

[tex]y'=\dfrac{5}{2}(4)^{\frac{3}{2}}[/tex]

[tex]y'=\dfrac{5}{2}(2^2)^{\frac{3}{2}}[/tex]

Using properties of exponents, we get

[tex]y'=\dfrac{5}{2}(2)^{2\times \frac{3}{2}}[/tex]         [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]y'=\dfrac{5}{2}(2)^{3}[/tex]

[tex]y'=\dfrac{5}{2}(8)[/tex]

[tex]y'=20[/tex]

Therefore, the gradient of the given curve at the point where [tex]x = 4[/tex] is 20.

Answer:

Home by $17.50

Step-by-step explanation:

Home by 17.50 because when going to the theater you have to consider all the costs of everything you will be purchasing so there will be 2 tickets for yourself and your friend 2 drinks and 2 small popcorns when you add all of these up it will look like this 7.75+7.75+2.50+2.50+2.50+2.50 = 25.50 then I will subtract this from the at home cost so 25.50 - 4.50 - 1.50 - 2.00 = 17.50 So it's cheaper home by 17.50

Answer:

−30.02310826357

Step-by-step explanation:

−30.02310826357

Answer:

289m2

Step-by-step explanation:

The mathematical formula  for the area of the triangle is:

base x height / 2

Answer:

Step-by-step explanation:

It is expected the spinner to land on Red 1/5 times.

If the spinner is spun 40 times, then it should land on Red:

And it should not land on red:

Correct choice is D

Answer:

B. 66

Step-by-step explanation:

73+25 = 98

Z = 98-32

Z = 66

Answer:

2 quarters, one nickel and two dimes

Step-by-step explanation:

2 quarters = 25 cents + 25 cents = 50 cents

Nickel is 5 cents

Two dimes is 10+10 = 20

50+20+5=75

Answer:

solution given:

yeah it represent circle

as it is in the form:

(x-h)²+(y-k)²=r²

where

centre(h,k)=(0,0)

radius [r]=2 units

Step-by-step explanation:

15) 13x = 130 x = 10

16) 16x+2+43x+1 = 180 59 x = 177 x = 3

17) 29x+3+31x-3 = 180 60x = 180 x = 3

18) 16x -5 + -5 + 22x = 180 38x = 190 x = 5

Answer:

Jacob sold 25 bars - chocolates and 15 peanut butter.

Step-by-step explanation:

Jacob sold 40 candy bars.

Let the bars - chocolate be x and peanut butter be y and made $65.

Now,

x + y = 40 ...(1)

2x + y = 65 ...(2)

Now, From equation (1) we get,

x + y = 40

x = 40 - y

Now, put the value of x = 40 - y in equation (2) we get,

2x + y = 65

2(40 - y) + y = 65

80 - 2y + y = 65

y = 80 - 65

y = 15

Now, put the value of y in equation (1)

x + y = 40

x + 15 = 40

x = 40 - 15

x = 25

The bars - chocolate = x = 25 and

peanut butter = y = 15

Thus, Jacob sold 25 bars - chocolates and 15 peanut butter.

-TheUnknownScientist

Answer:

x^3- 3x^2+ 5x

Step-by-step explanation:

basically divide the coefficents by 5

Answer:

x=82

Step-by-step explanation:

You start of with subtracting both sides with 9

then you divide both side with 9

Remember the rule that whatever you do to one side, you have to do to the other side. So, how do we find x? The objective when we are simplifying equations like this is to isolate x. We need to make x lonely on one side. So let's try!

747 = 9x + 9

What is the first step to making x lonely? Usually try to use the property of addition or subtraction because it makes things 10x easier. So, using the idea of using addition or subtraction, let's make x lonely by minusing 9 on both sides.

747 = 9x + 9

- 9           - 9   (Remember we have to do the same thing to both sides!)

738 = 9x

Now we have 9 times x = 738. Hm, how do we make x lonely even more? What if divide both sides by 9. We are dividing both sides by 9 because this way, the 9 times will cancel out and disappear. Look:

738 = 9x

÷9     ÷9

82 = x

And there we go, we made x completely lonely and found out x = 82!

Answer:

x<4

Step-by-step explanation:

The arrow is facing left, making it less than. Next, the open circle on 4 means that it does not include 4, therefore the inequality is x<4.  

The inequality that represents this situation is - ∞ ≤  x < 4.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Assuming the number line is represented by x.

An open circle on the right-hand side of the line at 4 represents it is less than 4.

We can also observe that the line is going infinitely in the direction of negative infinity.

So, this situation can be represented by an inequality of the form

- ∞ ≤  x < 4.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ2

Answer:

4/3 is ur answer which is equal to 6.92820323028

which i B's side length

Step-by-step explanation:

Answer:

x = .06418

Step-by-step explanation:

2 + (9.2)−8x = 2.32

(9.2)−8x = 2.32 − 2

log (9.2)−8x = log .32

−8x log 9.2 = log .32

−8x log 9.2

−8 log 9.2

=

log .32

−8 log 9.2

x = .06418

Answer:

the statement is a true statement

Answer:

They have atleast two or one left

Answer:

pi x radius x 2 x height of the cylinder.

Answer:

Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: The surface area of the cube would be 3^3/4.

Step-by-step explanation:

A cube has 6 faces [ 6 surfaces ]. Each surface has a square shape.

The area of 1 surface=  (side)^2=  3/4 · 3/4= 9/16 sqr.in.

Surface area of cube =9/16 · 1/6= 54/16.

divide both top and bottom (54 and 16) by 2. you should end up with 27/8.

27/8 = 3^3/4 sqr. in.

Hope this helps.

Answer:

x=1/2,-5/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 a) 6

3 b) 12

3 c) 12

4 a) 4/5

4 b) 10/9

4 c) 17/15

Answer:

A

Step-by-step explanation:

Answer:

C: No, the randomness condition is not met.

Step-by-step explanation:

took the test on edge

Answer:

C.14ײ+5

Step-by-step explanation:

Hope It Help

Brainliest please

Answer:

What website is this picture on. I can not see the picture.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation: