A motor Scooter travels 10 miles in the same time that a bicycle covers 4 miles if the rate of the scooter is 2 mph more than twice the rate of the bicycle find both rates

Answer:

d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))

Step-by-step explanation:

To find the derivative of f(t), we have to find the derivative of each component of the function to make it easier.

d(8/(t^7))/dt = d(8xt^-7)/dt = –7 x 8 x t^-8 = –56t^-8 = -56/(t^8)

d(5/(t^(1/6)))/dt = –(1/6) x 5 x t^(-7/6) = –(5/6)/t^(7/6)

d(3t^4)/dt = 4 x 3 x t^3 = 12t^3

d(t²)/dt = 2t

d(t^⅓)/dt = ⅓t^(-2/3) = (1/3)t^(2/3))

d(12)/dt = 0.

Therefore,

d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))

Answer:

The 26% solution should she use is explained below in detailed explanation.

Step-by-step explanation:

Assumed there be 10 percent of x liters of acid solution

Assumed there be 26 percent of y liters of acid solution

provided Information

A chemist needed to combine a 10 percent acid solution with a 26 percent acid solution to obtain 16 liters of a 14 percent acid solution

So, ( 10 / 100 )*x + ( 26 / 100 )*y = ( 14 / 100 )*16

=> 0.1*x + 0.26*y = 0.14*16

=> 0.1*x + 0.26*y = 2.24 ....................... eq 1

x + y = 16 ......................... eq 2

Multiply ( 0.1 ) in both side in eq 2

=> 0.1*x + 0.1*y = 0.1*16

=> 0.1*x + 0.1*y = 1.6 ......................... eq 3

Subtract eq 3 from eq 1

0.1*x - 0.1*x + 0.26*y - 0.1*y = 2.24 - 1.6

=> 0.16*y = 0.64

=> x = 0.64 / 0.16

=> y = 4

So, 4 liters of 26% solution she should utilized

Answer:

[tex]|z| = 27[/tex] -- Modulus

[tex]\theta = \frac{\pi}{3}[/tex] --- Argument

Step-by-step explanation:

Given

[tex]((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6[/tex]

Required

Determine the modulus and the argument

We have that:

[tex]z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6[/tex]

Expand:

[tex]z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex]

[tex]z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex]

A complex equation can be expressed as:

[tex]z = |z| e^{i\theta}[/tex]

Where

[tex]|z| = modulus[/tex]

[tex]\theta = argument[/tex]

Where

[tex]e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})[/tex]

So:

[tex]z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex] becomes

[tex]z = 27(e^{i\frac{\pi}{18}})^6[/tex]

By comparison:

[tex]e^{i\theta} = (e^{i\frac{\pi}{18}})^6[/tex]

This gives:

[tex]{i\theta} = i\frac{\pi}{18}}*6[/tex]

[tex]{i\theta} = i\frac{6\pi}{18}}[/tex]

[tex]{i\theta} = i\frac{\pi}{3}}[/tex]

Divide through by i

[tex]\theta = \frac{\pi}{3}[/tex]

Hence, the modulus, z is:

[tex]|z| = 27[/tex]

And the argument [tex]\theta[/tex] is

[tex]\theta = \frac{\pi}{3}[/tex]

Answer: C. M=27 A=pi/3

Step-by-step explanation:

edge

Answer:

900

Step-by-step explanation:

3 squared is 9. 9 time 100 is 900

The required logarithm form is -2log5

Given the exponential form of an equation expressed as;

[tex](5)^{-2} = 1/25[/tex]

For us to change the exponential form into logarithmic equation, first we need to identify the base, move it to the other side of the expression and then take the logarithm

Take the logarithm of both sides

[tex]= log(5)^{-2} \\=-2log5\\[/tex]

Hence the required logarithm form is -2log5

Learn more on logarithm here: https://brainly.com/question/17622052

Answer:

$122 in 4 years

Step-by-step explanation:

6.1% of 500 is 30.5

30.5*4 = 122

Answer: 0.1346

Step-by-step explanation:

Number of vowels = 5 vowels

Number of consonants = 25

For us to calculate the probability of selecting two vowels one after another, we have to select the first vowels which will give a probability of 5/40, then we select the second vowel which will be 4/24 since there'll be 4 vowels left 39 alpahabets.

Therefore, probability of selecting two vowels one after another will be:

= 15/40 × 14/39

= 3/8 × 14/39

= 0.1346

Answer:

The rule is that any number raised to the power of 0 equals to 1. So if 2 or 1,000,000 is raised to the power of 0 it equals 1.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

The rule is any number raised to the power of 0 is equal to 1

ex. if 200 is raised to the power of 0, it will be 1  

Answer:

Slide to the left then rotate 90° to the right then slide down then rotate 180° to the left/ right.

The properties of equality used to solve the equation 3x+5=14 are subtraction and division.

The properties of equality, which can be used to solve any equation, include:

However, we can determine if the solution to the equation and the properties are correct by substituting the variable's value into the equation using the substitution property of equality.

Check:

Given that 3x+5 = 14

3x = 14 - 5    Subtraction

3x = 9

x = 3 (9/3)    Division

Thus, in equation 3x+5=14, the properties of equality that would solve it are subtraction and division.

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Which property of equality would be used to solve the equation 3x+5=14?

Answer:

-7π/3 or -420 degrees

Step-by-step explanation:

So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.

The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.

π/2 - π/6

3π/6 - π/6 = 2π/6

π/3

Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3

Answer:

0.8

0.08 x 10 = 0.8

Answer:

0.8 I think.

Step-by-step explanation:

0.8×10 I hop tho helps

Answer:

Its 259.740

Step-by-step explanation:

I used a calculator? Sorry if I dont have the "Remainders"

Answer:

b. false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A P E X

Answer: -2 and 4

Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.

The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.

We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.

The parabola of the graph is given in the question

A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.

Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

Learn more about the x-intercept here:

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Answer: 36.2

Step-by-step explanation:

30^2+15^2=1314

square root of 1314 is equal to 36.249

rounded to nearest tenth: 36.2

Answer:

2/5

Step-by-step explanation:

Answer:

the answer its 44=0

Step-by-step explanation:

18y-6y+22=11(y-2)+y1

We move all terms to the left:

18y-6y+22-(11(y-2)+y1)=0

We add all the numbers together, and all the variables

12y-(11(y-2)+y1)+22=0

We calculate terms in parentheses: -(11(y-2)+y1), so:

11(y-2)+y1

We add all the numbers together, and all the variables

y+11(y-2)

We multiply parentheses

y+11y-22

We add all the numbers together, and all the variables

12y-22

Back to the equation:

-(12y-22)

We get rid of parentheses

12y-12y+22+22=0

We add all the numbers together, and all the variables

44=0

are not solution for this equation

Hope helps you and have a great day !

Answer:

A X + 3y = 18

Step-by-step explanation:

[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} [/tex]

[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]

[tex] {a}^{c} \times {b}^{c} = {ab}^{c} [/tex]

Answer:

[tex]\frac{27}{64}[/tex]

Step-by-step explanation:

[tex]\left( \frac{3}{4}^3 \right) = \frac{3^3}{4^3} = \frac{3\cdot 3\cdot 3}{4 \cdot 4 \cdot 4} = \frac{27}{64}[/tex]

Answer:

$18.00

Step-by-step explanation:

Because you know that 15 baseball cards costs 9.00.  30 is 2 15s added together.  So you will do 9.00+9.00 in order to get the amount of money it needs.  Double the baseball cards cost double the money.

Hope this helps.  Please give brainliest.

Answer:

A) t = 2

B) s = 3

Step-by-step explanation:

(A) 2(5t+9)=36-7(t-2)+t

(B)  47+s=8(s+2)-s+13

Answer: Approximately 51%

Step-by-Step-Explanation:

Given -

We must find:

Profit (Numbers Given)

$38.50 - $25.50 = $13.00

Profit, (In percent)

13/25.50 × 100 ≈ 51%