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2 years ago

Jan ran three times as far as Millie. Jan also ran 12 more miles than Millie. How far did Jan run?

Mathematics

2 answers:

Pie2 years ago

8 0

12 miles Jan ran so this is the answer hope you like ot

BigorU [14]2 years ago

4 0

Answer:

He ran 3 miles

Step-by-step explanation:

12 / 4 = 3 mi

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I need help with this.

Dovator [93]

Answer:

Hello first one is 4.

Second one is 8

Step-by-step explanation:

First one is f(0). It means you should put zero in the place of x

0 is less than 5 so you should put zero in x+4=f(x)

For the second one do like the first one.

I hope you understand

6 0

2 years ago

HELP ASSAP WITH THIS QUESTION

attashe74 [19]

If I remember correctly judging from the 30 in the top left all you would have to is subtract 180 which is the angle of a straight line and subtract it from the 30 and it would be 150

8 0

2 years ago

Read 2 more answers

Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

6 0

1 year ago

The Girl Scouts are selling cookies. They have made $437 so far. They need to sell more than $1000 to go on a scout retreat. Wha

beks73 [17]

Answer:they still need to make 563 or more. They still need to make more than 563

Step-by-step explanation:

6 0

2 years ago

The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1600 vo

Arturiano [62]

Answer:

Test statistic = -2.44

There is enough evidence to support the strategist's claim.

Step-by-step explanation:

H0 : p = 0.41

H1 : p < 0.41

pˆ = 0.38

Test statistic :

z=pˆ−p/√p(1−p)/n

Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600

Z = - 0.03 / √0.0001511875

Z = - 0.03 / 0.0122958

Z = - 2.4399

Test statistic = -2.44

The Pvalue :

P(Z < -2.44) = 0.0073436

α - level = 0.02

If Pvalue < α ; Reject H0

0.0073436 < 0.02 ; We reject H0

Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.

8 0

2 years ago