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3 years ago

How to do this table?

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

Given:
52 weeks in 1 year.

f(n) = 52n

Hanna's age in year: Hanna's age in weeks
1 f(1) = 52(1) 52
2 f(2) = 52(2) 104
3 f(3) = 52(3) 156
4 f(4) = 52(4) 208
5 f(5) = 52(5) 260

11 f(11) = 52(11) 572

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10 seconds into a race, Clara was at the 25 meter mark. At 60 seconds into the race, she was at the 100 meter mark. What was the

lions [1.4K]

Answer:

1.5 m/s

Step-by-step explanation:

To find the rate of change for two different sets of data, you have to divide the distance and the time to find the speed.

Using the general formula: d = rt, where d=distance, r=rate and t=time,

r = d/t

$\frac{distance}{time}=\frac{meters}{second}=\frac{75}{50}=1.5m/s$

3 0

3 years ago

I neeed to solve this equation with elimination

valina [46]

Answer:

The solution to the system of equations be:

x = 3

y = 9

Step-by-step explanation:

Given the system of equations

x + y = 12

-x + 2y = 15

Let us solve the system of equations by elimination

$\begin{bmatrix}x+y=12\\ -x+2y=15\end{bmatrix}$

adding the equations

$-x+2y=15$

$+$

$\underline{x+y=12}$

$3y=27$

solve 3y = 27 for y

$3y=27$

divide both sides by 3

$\frac{3y}{3}=\frac{27}{3}$

Simplify

$y=9$

For x+y=12 plug in y = 9

$x+9=12$

Subtract 9 from both sides

$x+9-9=12-9$

Simplify

$x=3$

Therefore, the solution to the system of equations be:

x = 3

y = 9

7 0

3 years ago

Ben played at a friends house for 2 hours and 35 minutes.Later he played at a park.He played for a total of 3 hours 52 minutes t

rjkz [21]

1hour and 17 minutes

8 0

4 years ago

Read 2 more answers

2logx=3-2log(x+3) solve for x

AVprozaik [17]

Answer:

$\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}$

Step-by-step explanation:

$2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}$

$x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D$

6 0

3 years ago

Does anyone know the answer?

iragen [17]

-60 djdjjeejjejdjdjdjdjejejejejdjdjjd

8 0

3 years ago