Last week Maria ran 19 miles less than Arjun. MAria ran 8.7 miles. How many miles did Arjun run?

Answer:

En este caso 70 ° y 20 ° son complementarios porque 70° + 20° = 90°.

Más ejemplos podrían ser 47° y 43°, ya que 47° + 43° = 90°, 30° y 60°, 45° y 45° , etc.

Dos ángulos son suplementarios si su suma forma un ángulo llano, es decir, 180°.

Answer:

2.899

Step-by-step explanation:

Given that:

[tex]f' (x) =3 tan ^{-1} (x^2 -3x +2)[/tex]

[tex]\text{applying integration on both sides with respect to x}[/tex]

[tex]\int \limits ^{3}_{1}} f'(x) \ dx = \int ^3_1 3tan ^{-1} (x^2 -3x+2) \ dx[/tex]

[tex]f(3)-f(1)= 3 \int ^3_1 3tan ^{-1} (x^2 -3x+2) \ dx[/tex]

[tex]f(3) = \dfrac{\pi}{2}+3\int^{3}_{1} tan^{-1} (x^2 -3x+2)dx ---(1)[/tex]

[tex]\text{consider } \ \ 3\int^{3}_{1} tan^{-1} (x^2 -3x+2)dx[/tex]

[tex]h = \dfrac{b-a}{n}[/tex]

[tex]where; n = 10 , a =1, b= 3[/tex]

[tex]h = \dfrac{3-1}{10}[/tex]

[tex]h = \dfrac{2}{10}[/tex]

[tex]h = 0.2[/tex]

[tex]\text{The value of x and corresponding } y = 3tan^{-1}(x^2-3x+2) \ are:[/tex]

x     1      1.2      1.4      1.6      1.8      2      2.2      2.4      2.6      2.8      3

y   f(0)  f(1.2)   f(1.4)   f(1.6)   f(1.8)   f(2.0)  f(2.2)  f(2.4)  f(2.6)  f(2.8)   f(3)

By simpson's rule:

[tex]\int \limits ^3_1 \ 3 tan^{-1} (x^2-3x+2) dx \simeq \dfrac{h}{3}(y_o+y_{10}) +4(y_1+y_3+y_5+y_7+y_9)+2(y_2+y_4+y_6+y_8)][/tex]

[tex]=\dfrac{0.2}{3}\Big[(0+3.3214)+(-1.9039+2.8265+1.4133+6.1259+11.5657)+2(-1.4133-0.9519+1.4133+4.5899)\Big][/tex]

[tex]= 1.32804[/tex]

[tex]\text{From}; f(3) = \dfrac{\pi}{2}+1.32804 \\ \\ f(3) = 2.89883633 \\ \\ \mathbf{f(3) \simeq 2.899}[/tex]

Trapezoidal rule is used to evaluate the area of the curve by using various strips of equal width which is in the form of trapezoids. The value of [tex]f(3)[/tex] is 2.8989.

Given information

In the given problem [tex]f[/tex] is the function such that,

[tex]f(1)=\dfrac{\pi}{2} \\[/tex]

The differentiated function is,

[tex]f'(x)=3\tan^-(x^2-3x+2)[/tex]

Integrate the above equation with respect to the x,

[tex]\int\limits^3_1 {f'(x)} \, dx =\int\limits^3_1 {3\tan^-(x^2-3x+2)} \, dx\\f(3)-f(1) =\int\limits^3_1 {3\tan^-(x^2-3x+2)} \, dx\\f(3) =3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx +f(1)\\f(3) =3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx +\dfrac{\pi}{2}[/tex]           .........1

Let the above equation is the equation number 1.

Let the integrated function,

[tex]y=3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx[/tex]

Solve the above equation using the trapezoidal rule.

Trapezoidal rule is used to evaluate the area of the curve by using various strips of equal width which is in the form of trapezoids.

In the given problem,

[tex]h=\dfrac{b-a}{n}[/tex]

Use this formula for the integrated function,

[tex]h=\dfrac{3-1}{10}\\h=0.2[/tex]

Use the Simpson formula to solve the above equation,

[tex]=3\int\limits^3_1 {\tan^-(x^2-3x+2)} \, dx[/tex]

[tex]=\dfrac{h}{3} (y_0+y_{10})+4(y_1+y_3+y_{5}+y_7+y_{9})+2(y_2+y_{4}+y_6+y_{8})[/tex]

Find the value of y by putting the values in the given formula. Thus,

[tex]=\dfrac{0.2}{3} (0+3.3214)+4(-1.9039+2.8266+1.4133+6.1259+11.5657)+2(-1.4133-0.9519+1.4133+4.5899)\\=1.32804[/tex]

Put this value in equation 1,

[tex]f(3) =1.30824 +\dfrac{\pi}{2}\\f(3)=2.8989[/tex]

Thus the value of [tex]f(3)[/tex] is 2.8989.

Learn more about the trapezoidal rule here;

https://brainly.com/question/15323877

Answer:

the answer is b

Step-by-step explanation:

Answer:

by x:

Answer:

where is the diagram? please provide the diagram.

Answer:

800

Step-by-step explanation:

80000 / 100 is 800

Answer:

80,000/100= 800

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

Answer:

1. I don't know how to solve that sorry :(

2. B. It is a diameter

3. 30° = q

4. I don't know sorry :(

Step-by-step explanation:

1. I don't know how to solve that sorry :(

-----------------------------------------------------------

2. B. It is a diameter

------------------------------------

3. All triangles = 180°

180° = 60° + 90° + q

180° = 150° + q

180° - 150° = 150° - 150° + q

30° = q

180° = 60° + 90° + 30°

180° = 150° + 30°

180° = 180°

------------------------------------------

4. I don't know sorry :(

Answer:

Step-by-step explanation:

To find the slope you need to follow the formula shown below.

Slope (m) = ΔY/ΔX

Now solve

ΔY = 6 – 0 = 6

ΔX = 2 – 0 = 2

Write as a fraction

6/2

Convert to a number

6/2 = 3

And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.

Answer:

Step-by-step explanation:

0.5^(t/5600) = 0.08

2^(-t/5600) = 0.08

-t/5600 = log₂0.08

t = -5600 log₂0.08 ≈ 20406 years

Answer:

10 full servings and [tex]\frac{1}{4}[/tex] cups leftover

Step-by-step explanation:

Our container has a total of 20 and a half cups. And each full serving is 2 cups.

So, we divide [tex]\frac{20\frac{1}{2} }{2}[/tex].

To do this manually, we convert the numerator into an improper fraction: [tex]\frac{\frac{41}{2} }{2}[/tex].

Now, we multiply the denominators: [tex]\frac{41}{4}[/tex].

This will give us [tex]10\frac{1}{4}[/tex] servings. So we only have 10 full servings.

There are [tex]\frac{1}{4}[/tex] cups leftover.

Answer:

2persent

Step-by-step explanation:

because there are 10 10 in 100

Answer:

20%

Step-by-step explanation:

Answer:

the answer is A. 2y^4/x^4

Step-by-step explanation:

i took the test and there is this app for pc called wolfamalpha.com

Answer:

A. 2y^4/x^4

Step-by-step explanation:

hetgerqfregerqgrqe

Answer:

8/9

Step-by-step explanation:

8 numerator

______________

9 denominator

Answer:

false

Step-by-step explanation:

I took the test

Answer:

I think the answer is false

Answer:

B. How many hours does each employee work in a week?

Step-by-step explanation:

A statistical question is one that has a variable answer.

The answers to the question, "How many hours does each employee work in a week?" vary by employee, so it is a statistical question.

I hope i helped

Answer:

For this question, we need to use a little bit of trigonometry.

We have: sine 17 = x/47

Simplifying: 0.29 = x/47

Multiply both sides by 47 to get: x is about  13.7

Let me know if this helps!

Answer:

13.7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the percent of a number, write the percent as a decimal and multiply it by the number

Answer:

x=139

Step-by-step explanation:

x and 139 are alternate exterior angles. Since a transversal passes through lines m and n, They are congruent using the alt. interior angle theorem.

so x=139

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

ax2 + bx + c

Step-by-step explanation:

   Draw and label a picture if necessary.

   Define all of the variables.

   Determine if there is a special formula needed. Substitute the given information into the equation.

   Write the equation in standard form.

   Factor.

   Set each factor equal to 0. ...

   Check your answers.

Answer:

The Quadratic Formula: For ax2 + bx + c = 0, the values of x which are the solutions of the equation are given by:

x =  −b + √(b2 − 4ac)2a

​

Answer:

-3/4

Step-by-step explanation:

y2-y1/x2-x1 =

-1-2/4-0=

-3/4

Answer:

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

Step-by-step explanation:

Answer:

can u get a pic of the diagram

Step-by-step explanation:

Answer:

According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.

So answers 1. and 3. are correct.

Step-by-step explanation:

Answer:

person above seems corect and he said a and c

Answer:

[tex]0 \le t \le 3[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 144[/tex]

Required

Determine a reasonable domain

The domain is the possible values of t for which h(t) is true

Before the object is released, the value of t is:

[tex]t = 0[/tex]

Next, is to calculate the value of t after the ball reaches the ground.

At this point, h = 0.

So, we have:

[tex]h(t) = -16t^2 + 144[/tex]

[tex]0 = -16t^2 + 144[/tex]

[tex]16t^2 = 144[/tex]

Divide both sides by 16

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

Take the positive square root of both sides

[tex]t = 3[/tex]

This means that the ball reaches the ground in 3 seconds.

So, the domain is:

[tex]0 \le t \le 3[/tex]

Answer:

.shsnxbjsjJsjsiakzjxjisksjxjs

Answer:

The equation would be - x(15)-3=y

Step-by-step explanation:

It says X is being multiplied by 15 then after it was subtracted by 3. After you set it equal to Y and there is your equation.