Which is the total value of the digit 4 in 34 712

Answer:

4th on should be the correct

Answer:

y=1x-2

Step-by-step explanation:

Well this one is already given

When x=0, it's the y intercept

and it gives the slope, so we got it :D

Answer:

y=x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=1(x-0)

y+2=1(x)

y+2=x

y=x-2

Answer:

Step-by-step explanation:

Since the initial velocity of the object is 170 ft/s, the expression for h is given by

[tex]h = -16t^2 + 170t[/tex]

In order to find the time it takes for the object to reach the height of 302 ft, we to rewrite the equation above as

[tex]302 = -16t^2 +170t \Rightarrow 16t^2 - 170t + 302 = 0[/tex]

This is a quadratic equation whose roots are

[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

where a = 16, b = -170 and c = 302. Using these values, we get

[tex]t = \dfrac{170 \pm \sqrt{(-170)^2 - 4(16)(302)}}{2(16)}[/tex]

[tex]\;\;\;=\dfrac{170 \pm \sqrt{28900 - 19328}}{32}[/tex]

[tex]\;\;\;= \dfrac{170 \pm 97.8}{32}[/tex]

[tex]\;\;\;= 2.3\:\text{s},\;\;8.4\:\text{s},[/tex]

This means the object will reach the height of 302 ft 2.3 seconds after launch and then at 8.4 seconds after launch (on its way down).

Answer:

Step-by-step explanation:

a) The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].

b) The value of [tex]m'(5)[/tex] is approximately -0.034.

c) The value of [tex]x[/tex] is approximately 0.622.

a) [tex]f(x)[/tex] is a piecewise function formed by two linear functions, whose form is defined by the following definition:

[tex]f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b[/tex] (1)

Where:

Now we proceed to determine the linear functions:

Line 1: [tex]x \in [-1, 2)[/tex]

[tex](x_{1}, y_{1}) = (0, 3)[/tex], [tex](x_{2}, y_{2}) = (1, 5)[/tex], [tex]b = 3[/tex]

[tex]f(x) = \frac{5-3}{1-0}\cdot x + 3[/tex]

[tex]f(x) = 2\cdot x + 3[/tex]

Line 2: [tex]x \in [2, 8][/tex]

[tex](x_{1}, y_{1}) = (2, 7)[/tex], [tex](x_{2}, y_{2}) = (8, 3)[/tex]

First, we determine the slope of function:

[tex]m = \frac{3-7}{8-2}[/tex]

[tex]m = -\frac{2}{3}[/tex]

Now we proceed to determine the intercept of the linear function:

[tex]7 = -\frac{2}{3}\cdot 2 + b[/tex]

[tex]b = \frac{25}{3}[/tex]

[tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex]

The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:

[tex]k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)[/tex]

If we know that [tex]f(x) = 2\cdot x + 3[/tex], [tex]f'(x) = 2[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 0[/tex], then:

[tex]k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}[/tex]

[tex]k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}[/tex]

[tex]k'(0) = \frac{12-3}{2\sqrt{3}}[/tex]

[tex]k'(0) = \frac{9}{2\sqrt{3}}[/tex]

[tex]k'(0) = \frac{3\sqrt{3}}{2}[/tex]

The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].

b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:

[tex]m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}[/tex] (2)

If we know that [tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex], [tex]f'(x) = -\frac{2}{3}[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 5[/tex], then:

[tex]f(5) = 5[/tex]

[tex]f'(5) = -\frac{2}{3}[/tex]

[tex]g(5) = \sqrt{23}[/tex]

[tex]g'(5) = \frac{9\sqrt{23}}{46}[/tex]

[tex]m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}[/tex]

[tex]m'(5) \approx -0.034[/tex]

The value of [tex]m'(5)[/tex] is approximately -0.034.

c) In this case we must find a value of [tex]x[/tex], so that [tex]h'(x) = 2[/tex]. Hence, we have the following formula below:

[tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]

A quick approach is using a graphing tool a locate a point so that [tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]. According to this, the value of [tex]x[/tex] is approximately 0.622.

To learn more on derivatives, we kindly invite to check this verified question: https://brainly.com/question/21202620

Using an exponential function, it is found that the city will be half populated in 9 months.

The population of Fantasy City doubles each month, hence, after t months, the population is given by:

[tex]P(t) = P(0)2^{t}[/tex]

Fully populated in 10 months, hence, the full population is:

[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]

Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:

[tex]P(t) = P(0)2^{t}[/tex]

[tex]512P(0) = P(0)2^{t}[/tex]

[tex]2^t = 512[/tex]

[tex]2^t = 2^9[/tex]

[tex]t = 9[/tex]

The city will be half populated in 9 months.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936

Answer:

add the two then subtract the two and put those answers in each box :)

Step-by-step explanation:

hope this helped! happy holidays!

Answer:

I don't know sorry

a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have

[tex]\displaystyle \int_{-\infty}^\infty f(y) \, dy = \frac14 \int_0^\infty e^{-\frac y4} \, dy = -\left(\lim_{y\to\infty}e^{-\frac y4} - e^0\right) = \boxed{1}[/tex]

so both conditions are met and f(y) is indeed a PDF.

b) The probability P(Y > 4) is given by the integral,

[tex]\displaystyle \int_{-\infty}^4 f(y) \, dy = \frac14 \int_0^4 e^{-\frac y4} \, dy = -\left(e^{-1} - e^0\right) = \frac{e - 1}{e} \approx \boxed{0.632}[/tex]

c) The mean is given by the integral,

[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \int_0^\infty y e^{-\frac y4} \, dy[/tex]

Integrate by parts, with

[tex]u = y \implies du = dy[/tex]

[tex]dv = e^{-\frac y4} \, dy \implies v = -4 e^{-\frac y4}[/tex]

Then

[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \left(\left(\lim_{y\to\infty}\left(-4y e^{-\frac y4}\right) - \left(-4\cdot0\cdot e^0\right)\right) + 4 \int_0^\infty e^{-\frac y4} \, dy\right)[/tex]

[tex]\displaystyle \cdots = \int_0^\infty e^{-\frac y4} \, dy[/tex]

[tex]\displaystyle \cdots = -4 \left(\lim_{y\to\infty} e^{-\frac y4} - e^0\right) = \boxed{4}[/tex]

Answer:1.2389 million US$

Step-by-step explanation:

Answer:

1. <  2. < 3. > 4. = 5. >

Step-by-step explanation:

Answer:

C their speeds are equal

Answer: C) Their speeds are equal

Step-by-step explanation:

Use the speed-distance equation

Dog - s=d/t = 100/4 = 25m/s

Lion - s=d/t = 250/4 = 25m/s

how to solve this problem the answer is -555498

Answer:

Step-by-step explanation:

The top left angle is 55 (alternate interior angles).

x + 100 + 55 = 180                     All triangles are made up of 180 degrees

x + 155 = 180                             Subtract 155 from both sides.

x = 180 - 155                              Combine

x = 25

Hence, 'x = 25°' is the value of 'x'

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Explanation :

________________________________

Given:

(2+√3)+(4-√3)

To Find:

Evaluate the expression

Solution:

⇨Step 1:

Remove the parentheses

(2+√3)+(4-√3)

When there is + or no sign in front of an expression in parentheses, the expression remains the same

= 2 + √3+ 4-√3

⇨Step 2:

Cancel the opposite terms √3 and -√3

"Two numbers are opposites if they have the same absolute value but different signs"

= 2 + 4

⇨Step 3:

Add the numbers

= 6

Hence (2+√3)+(4-√3) = 6.

[tex]\text{Given that,}\\\\f(x) = x^3+ax^2-7x+b \\\\\text{Since}~ (x+2)~ \text{and}~ (x-3)~ \text{are factors of f(x),}\\\\f(-2) = 0 ~ \text{and}~ f(3)=0\\\\\\ \text{Now,}\\\\f(-2)=0\\\\\ \implies (-2)^3+a(-2)^2-7(-2)+b =0\\\\\implies -8 +4a +14+b =0\\\\\implies 4a +b +6 =0~~~....(i)\\\\\\f(3) = 0\\\\\implies 3^3+a(3^2) -7(3) +b =0\\\\\implies 27 +9a -21 +b =0\\\\\implies 9a +b +6 =0~~....(ii)\\\\\\(ii)-(i):\\\\9a+b+6 - 4a-b - 6 = 0\\\\\implies 5a =0\\\\\implies a = 0\\[/tex]

[tex]\text{Substitute a=0 in equation (i):}\\\\4(0) +b +6 =0\\\\\implies b+6 =0\\\\\implies b =-6\\\\\text{Hence, a = 0 and}~ b =-6[/tex]

Answer:

0.3

Step-by-step explanation:

Answer:

[tex]{ \tt{30\% = 0.3}} \\ [/tex]

Answer:

The values in the five-number summary divide a data set into four quarters.

→ True

Mark me as brainlist plz :)

Answer:

the answer is TRUE

Step-by-step explanation:

Answer:

The slope

Step-by-step explanation:

Answer:

2x2+5x−3

Step-by-step explanation:

Expand the polynomial using the FOIL method.

Answer:

B

Step-by-step explanation:

[tex] \frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16} [/tex]

Answer:

13.6

Step-by-step explanation:

Answer:

26.2

Step-by-step explanation:

Answer:

$3.16

Step-by-step explanation:

0.6+0.08n

Since n represents photocopies, then we replace n with 32.

0.6+0.08(32)

Now we multiply.

0.6+2.56

Finally, add.

0.6+2.56=3.16

So, Clayton will have to pay $3.16 to make 32 photocopies.

-hope it helps

Answer:

6cm

Step-by-step explanation:

let height of ladder be x

so if height of ladder is x then the distance from the base of the ladder to the base of the slide is x+2

Assuming this is a right angle triangle, the slide is the longest lenght (c)

so

x²+(x+2)²=10²

x²+x²+4x+4=100

2x²+4x+4=100

2x²+4x+4-100=0

2x²+4x-96=0

2(x²+2x-48)=0

x²+2x-48=0 -- Factor

(x+8)(x-6)=0

x=-8 and x=6

since height cannot be a negative number

height of ladder is 6 cm

The base length is 8 feet. Then the height of the triangle will be 6 feet.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of a slide on a swing set is 10 ft.

The distance from the base of the ladder to the base of the slide is 2 ft more than the height of the ladder.

Let x be the length of the height of the triangle. Then the base of the triangle will be (x + 2).

10² = (x + 2)² + x²

100 = x² + 4x + 4 + x²

96 = 2x² + 4x

48 = x² + 2x

0 = x² + 2x - 48

0 = (x - 6)(x + 8)

x = 6, -8

Then the base length is 6 ft. Then the height of the triangle will be

B = x + 2

B = 6 + 2

B  = 8 ft

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer:

y = 2x + -3

Step-by-step explanation:

Use the equation y=mx+b

m is the slope (2 in this case)

b is the y intercept (-3 in this case)

The equation of the line would be y = 2x + -3

Answer:

Step-by-step explanation:

Rational number ,because it can be written as 37 which is a ratio

Answer:

I'm sorry what?