In one phase of a cycling race, a cyclist has covered three fifths of the total distance. If
there are still thirty km left, what's the total distance of the race?

Answer:

d.

Step-by-step explanation:

I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives

sec²(x) dx/dt = a exp(at)

Recall that

sec²(x) = 1 + tan²(x)

Then we have

(1 + tan²(x)) dx/dt = a exp(at)

(1 + exp(2at)) dx/dt = a exp(at)

dx/dt = a exp(at) / (1 + exp(2at))

If exp(y) = 1 + exp(2at), then differentiating with respect to t yields

exp(y) dy/dt = 2a exp(2at)

(1 + exp(2at)) dy/dt = 2a exp(2at)

dy/dt = 2a exp(2at) / (1 + exp(2at))

By the chain rule,

dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)

Then the first derivative is

dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))

dy/dx = (2a exp(2at)) / (a exp(at))

dy/dx = 2 exp(at)

Since dy/dx is a function of t, if we differentiate dy/dx with respect to x, we have to use the chain rule again. Suppose we write

dy/dx = f(t)

By the chain rule, the derivative is

d²y/dx² = df/dx

d²y/dx² = df/dt • dt/dx

d²y/dx² = (df/dt) / (dx/dt)

d²y/dx² = 2a exp(at) / (a exp(at) / (1 + exp(2at)))

d²y/dx² = 2 (1 + exp(2at))

Answer:

y=-2/5x-1

Step-by-step explanation:

2x+5y=-5

Step 1: Add-2x to both sides.

2x+5y=-5

+-2 +-2

5y=-2x-5

Step 2: Divide both sides by 5.

5y ÷ 5 = -2x-5÷5

y=-2/5x-1

Answer:

1231.50432021 cm³

Step-by-step explanation:

Use the formula:

[tex]\frac{1}{3} \pi r^{2} h[/tex]

And replace known values:

[tex]\frac{1}{3} \pi (7^{2})(24)[/tex]

Aaaand simplify:

[tex]\frac{1}{3}*1176 \pi[/tex]

Which gives approximately:

[tex]1231.50432021[/tex]

And don't forget to put the unit (cm³)!

Answer:

1230

Step-by-step explanation:

1/3*pi*7^2*24

1/3*pi*49*24

=1230

[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]

Answer:

Idea one, if you want to memorize words fast and better, you can put part of it in your password of something and then try to log in to whatever you set the password on everyday. Idea two, if you want to study fast and quicker you need to spend big half of the day learning what you need to learn and reading books.

Hope this helps!

The best way I could explain this is that everyone has there own pace at doing things. Like me I learn very fast but I have to read over something to memorize them.

The only way I could say is that maybe take more notes and go over them everyday. It helped me a lot when I wanted to learn more and get better grades. Also another way is taking you time at first and when you get use to it you'll be able to read faster learn quicker but you have to go slow first to go fast.

Answer:

Study hard and stay determined

Find simple steps to help you remember and "wrap you head" around it better.

If you ask for help and try your best you should be able to get enough passing grades to pass 10th grade geometry. If I did, that means you can too.

How do you pass any course?

Study and study some more.

There is no easy road to success.

Math is not easy. If math were easy, everybody would get an A. What specific geometry topic are you stuck on? I am not that smart. I passed geometry at FDR HIGH SCHOOL back in the 1980s. We had no internet back then. At least you have YOU TUBE. If I passed, so can you.

Answer:

x = 23

Step-by-step explanation:

8x-27 = 7x-4

8x-7x = -4+27

x = 23

Carry learning!

Stay safe!

Answer: [tex]x^2+7.0x-5.0x[/tex]

Step-by-step explanation:

Answer:

Use a website called desmos and type in y=-3/4(x+4)-2

Step-by-step explanation:

1) isolate y by subtracting 2 on both sides

y=-3/4(x+4)-2

Answer:

Clue: two points : (0,-5)   ( 4 , -8)

Step-by-step explanation:

Look at the graph.

Answer:

the answer is. C.i hope this helps sorry if im wrong

Answer:

x=14

y=27

z=43

Step-by-step explanation:

hope it helps!

The answers are:

5x + 3y = 41

2x + 3y = 20

           -2x - 3y = -20

Therefore, the answers are:

Hoped this helped

[tex]-BrainiacUser1357-[/tex]

Answer:

Step-by-step explanation:

It looks like you need to solve this system of equations.

That means we need to find a value for x and a value for y that makes both equations true.

Since both equations have a 3y in them, this system is ready to use a method called "elimination method"

Since the x terms are lined up, and the y terms are lined up, the equal signs are lined up, and the constants are lined up...you can subtract the bottom equation from the top equation.

5x + 3y = 41

2x + 3y = 20

Subtract and you will get

3x + 0y =21

We don't need to write that 0y, because it is 0.

3x = 21, now divide by 3

x = 7, almost finished!

Use x = 7 in either of the original equations to find y.

5x + 3y = 41 and x = 7

5•7+ 3y = 41

35 + 3y = 41

-35 -35

3y =6

y = 2

So the solution is x=7 and y=2

That can also be written as an ordered pair (7, 2)

Answer:

$ 12600

Step-by-step explanation:

According to the question, you have to find the simple interest that Devon earn after 2 years,

You can use this formula to find that.

Here,

P = principal ( $ 900)

r = rate ( 7%)

t = time ( 2 years)

Let us solve now.

I = p × r × t

 = $ 900 × 7% × 2 years

 = 6300 × 2

 = $ 12600

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

a) x + 33

Step-by-step explanation:

x is the number of miles driven. Therefore, the answer for b is $333

Because it is the miles driven plus 33

Answer:

No

Step-by-step explanation:

5-X=3

X=5+3

X=8

5-8=3

Answer:

rgb

Step-by-step explanation:

wrtbtrb

a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.

b) p-value is 0.0838

c) We accept the null hypothesis

The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

A p-value is a statistical measurement used to validate a hypothesis against observed data.

a. Let p be the proportion of 8 out of 10 dentists.

The null hypothesis is

[tex]H_0 : p=\frac{8}{10}=0.8[/tex]

The alternative hypothesis is

[tex]H_1:p\neq 0.8[/tex]

b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]

Z-score, the test statistic is

[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]

P(Z > 1.38) = 1 - P(Z < 1.38)

∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838

p-value is 0.0838

c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis

For more information on null hypothesis: https://brainly.com/question/19263925

#SPJ2

Answer:

y = -2/5 x +1

Step-by-step explanation:

We know two points on the line (-5,3) and ( 5,-1)

We  can find the slope using the slope formula

m = ( y2-y1)/ (x2-x1)

m = ( -1 -3)/( 5- -5)

   = (-1-3)/ (-5+5)

  -4/10

 =-2/5

Using the slope intercept form of the the lint

y = mx+b  where m is the slope and b is the y intercept

y = -2/5 x+b

Using one of the point and substitute in for x and y

3 = -2/5 (-5) +b

3 = 2 +b

1 = b

y = -2/5 x +1

The equation of the line passes through the points (0, 1) and (5, -1) will be;

[tex]y = - \dfrac{2}{5}x + 1[/tex]

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 1) and (5, -1).

Now,

Since, The equation of line passes through the points (0, 1) and (5, -1).

So, We need to find the slope of the line.

Hence, the Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 1) / (5 - 0)

m = - 2 / 5

Thus, The equation of the line with slope - 2/5 is,

[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]

[tex]y - 1 = - \dfrac{2}{5}x[/tex]

[tex]y = - \dfrac{2}{5}x + 1[/tex]

Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

Answer:

1 is acute

2 is a right triangle

3 is obtuse

Step-by-step explanation:

A 90 degree angle will be written as a box in the corner. Any angle less than 90 is acute, and any angle more than 90 is obtuse.

Answer:

The answer is be the intercept

Answer:

constant over time

Step-by-step explanation: for every 3 cookies the cost goes up 2 dollars

Answer : 12 games

Step - by - step explanation :

In - order to find out how many games it will take Erika to get 45 points we need to find out how many points she normally gets in 1 game . . .

What is 30 divided by 8 ? 3.75 ( So Erika gets 3.75 points per game ! )

What is 45 divided by 3.75 ? 12 ( So Erika had to play 12 games in - order to get 45 points ! )

Answer:

440 miles

Step-by-step explanation:

First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.

Hope this helps! :)

Answer:

4x/y¹¹

Step-by-step explanation:

1) take out constants

40/10 * x⁻⁴y⁻⁶/x⁻⁵y⁵

2) simplify 40/10 to 4

4 * x⁻⁴y⁻⁶/x⁻⁵y⁵

3) Use Quotient Rule: xᵃ/xᵇ=xᵃ⁻ᵇ

4x⁻⁴⁺⁵y⁻⁶⁻⁵

4) Simplify -4 + 5 to 1

4x¹y⁻⁶⁻⁵

5) simplify -6-5 to -11

4x¹y⁻¹¹

6) use rule of one: ₓ¹=ₓ

4xy⁻¹¹

7) use negative power rule: x⁻ᵃ=1/xᵃ

4x * 1/y¹¹

8) simplify

4x/y¹¹

Below!

You can take 25 as one example and 49 as the second example.

Let's factorize.

Hence, the statement is not true.

Hoped this helped.