I need help with this

[tex](a)\\\\\\\text{Given that,}~~\\\\ f(t) =\dfrac 6{\sqrt{t-8}}\\\\\\\\\implies f'(t) = 6\left[\dfrac{\left(\sqrt{t-8}\right) \cdot 0 - \dfrac 1{2\sqrt{t-8 }}}{\left(\sqrt{t-8}\right)^2}\right]\\\\\\\\\implies f'(t) = -6\left(\dfrac {\dfrac 1{2\sqrt{t-8}}}{t-8}\right)\\\\\\\implies f'(t) = -6\left(\dfrac{1}{2\sqrt{t-8} (t-8)}\right)\\\\\\\implies f'(t) =-\dfrac 3{(t-8)^{\tfrac 32}}[/tex]

(b)

[tex]\text{Given that,}\\\\y=f(t)\\\\\text{Slope of y,} ~~ f'(t) =-\dfrac 3{(t-8)^{\tfrac 32}}\\\\\text{At point (33, 6/5)}\\\\\\f'(t) = -\dfrac 3{(33-8)^{\tfrac 32}} = - \dfrac 3{ (25)^{ \tfrac 32}} = - \dfrac 3{5^3} = -\dfrac 3{125}\\\\\\\text{Equation with given points,}\\\\y - \dfrac 65 = -\dfrac 3{125} ( t - 33)\\\\\\\implies y =-\dfrac 3{125} t +\dfrac{99}{125} + \dfrac 65\\\\\\\implies y = -\dfrac 3{125} t +\dfrac{249}{125}[/tex]

Answer:

x=6

Step-by-step explanation:

9(8-x)=3x

9 x 8=72

72-9x=3x

72=12x

72/12=6

x=6

Answer:

2 or more so it's be like 3 I guess he doesn't have the right for the tiger and in the heights block he it is a great game and to

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

I got a 100% on my mastery test

Answer:

Beause you did love to be loved by you

Step-by-step explanation:

Maybe a spoon full of sugar will help but I'm not going to love you because love this pure is hard to find in world so scard from humanity and the hideous presence of me

Answer:

n= 2.9

1:2.9

Step-by-step explanation:

Divide by 15 on both sides

15 divided by 15 is 1

43 divided by 15 is 2.8666666666=>

It states "Give any decimals in your answer to 1 d.p.

Mean we round it to one decimal place

so it is 2.9

Thus the answer for n is 2.9

Hope this helps!

Answer:

27

Step-by-step explanation:

Answer:

27 feet

Step-by-step explanation:

One way to do this is: 15 * 0.8 = 12 and you can add the original 15 feet to get 27 feet in total. I converted the 80 percent to a decimal and added it back to the original number.

Another way to do this is: 15 * 1.8 and the result is also 27 feet.

Answer:

$0.44

Step-by-step explanation:

lmk if you want an explanation

Answer:

31.334... years

Step-by-step explanation:

Initial value = $500

r = 1.5%

t = ?

A = (500)[tex]e^{.015*t}[/tex]

I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.

A/500 = [tex]e^{.015*t}[/tex]

ln A/500 = ln[tex]e^{.015*t}[/tex]

ln A/500 = .015*t

ln(A/500)/.015 = t

t = ln(A/500)/.015

To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.

t= ln(800/500)/.015 = 31.334...(rounded) years

We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!

Answer:

The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4

Step-by-step explanation:

Answer:

2) x=60

Step-by-step explanation:

x/6=10

multiply both sides by 6

x = 10*6

x=60

hope this helps! :D

have a miraculous day!! <3

Answer:

2) x = 60

Step-by-step explanation:

x/6=10

multiply both side by 6

x = 10*6

x = 60

✌️❤️✌️

Answer:

its 70/11 or 6.36

Step-by-step explanation:

Answer:

24.58 km

Step-by-step explanation:

1 km = 1000 m

1 m = 1 / 1000 km

24580 m

= 24580 / 1000

= 24.58 km

Answer:

=$114.750

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

Answer:

yes-

Step-by-step explanation:

im not to sure if its right but

7+7=14

12+12=24

Answer:

I don't get what you're asking.

Do you want me to solve for x? :D

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:   i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090

Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090.  (i hope this will help you and sorry if i did it wrong) :)

Answer:

Answer:GCF: y^4

Step-by-step explanation:

Factors of:

y^4= (y) (y) (y) (y) = y^4 (1)

y^5 = (y) (y) (y) (y) (y) = y^4 (y)

y^6 = (y) (y) (y) (y) (y) (y) = y^4(y^2)

Answer:

For the first question is 8y, and the second question would be 80

Step-by-step explanation:

The perimeter of a shape is calculated by adding it's sides together, and 2y+2y+2y+2y=8y. If y=10, we can substitute y for 10 in which 8*10 is 80.

Answer:

the slope of the line is 2

Step-by-step explanation:

Answer:

The slope of the line is 2.

Step-by-step explanation:

The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).

We can use the formula for finding slope here.

[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:

[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]

Therefore, the slope is 2.

Answer:

x=7

Step-by-step explanation:

3.5/3= 1.1666666666

6*1.16666666= 7

x=7

Answer:

-34 5/6

Step-by-step explanation:

Hope this helps

Have a blessed day

Answer:

I believe it would be 9/2 !

Step-by-step explanation:

1) Simplify 2 + 3 to 5.

10 * 5 - 8 * 3

2) Simplify 10 * 5 to 50.

50 - 8 * 3

3) Simplify 8 * 3 to 24.

50 - 24

4) Simplify.

24

Step-by-step explanation:

remember 3 things

1. 3 = 3/1 (any integer is also a fraction of itself divided by 1).

2. 3 / 1/6 = 3/1 / 1/6 = 3/1 × 6/1 (dividing by a fraction is the same as multiplying with the upside-down fraction).

3 a/b × c/d = ac / bd. in our case 3/1 × 6/1 = 18/1 = 18

Answer:

-6

Step-by-step explanation:

f(x)=2x^2+8x

f(-1)=2(-1)^2+8(-1)

f(-1)=2(-1)(-1)-8

f(-1)=2(1)-8

f(-1)=2-8

f(-1)=-6

Answer:

[tex]x = \sqrt{58} [/tex]

Step-by-step explanation:

first, you should draw a line to separate the triangle from the rectangle

You can get the height if the triangle by saying 16-9

This will give you 7

The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal

Now that we have the measurements of the triangle we can use the Pythagorean theorem

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {x}^{2} = {7}^{2} + {3}^{2} [/tex]

[tex] {x}^{2} = 49+ 9[/tex]

[tex] {x}^{2} = 58[/tex]

[tex]x = \sqrt{58} [/tex]