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4 years ago

20th term of 12, 15, 18, 21

Mathematics

1 answer:

Rainbow [258]4 years ago

7 0

Answer:

Step-by-step explanation:

The rule: 3n+9

n=20

3(20)+9

60+9

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If theta is an acute angle and sin=1/2 , then cos theta =

lilavasa [31]

$\pi /6$ is the only acute angle whose sin = 1/2. Therefore, cos ( $\pi /6$ ) = $\sqrt{3} /2$

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3 years ago

Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all

bezimeni [28]

Answer:

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

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2 years ago

(1 point) consider the function f(t)=⎧⎩⎨⎪⎪⎪⎪0,−5,−6,6,t<00≤t<11≤t<7t≥7;f(t)={0,t<0−5,0≤t<1−6,1≤t<76,t≥7; 1. wr

sergij07 [2.7K]

$f(t)=\begin{cases}0&\text{for }t$

Recall that

$u(t)=\begin{cases}0&\text{for }t$

Take it one piece at a time. For $t\ge0$ , we can scale $u(t)$ by -5:

$-5u(t)=\begin{cases}0&\text{for }t$

If we shift the argument by 1 and scale by -5, we have

$-5u(t-1)=\begin{cases}0&\text{for }t$

so if we subtract this from $-5u(t)$ , we'll end up with

$-5u(t)+5u(t-1)=\begin{cases}0&\text{for }t$

For the next piece, we can add another scaled and shifted step like

$-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

so that

$-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

For the last piece, we add one more term:

$6u(t-7)=\begin{cases}0&\text{for }t$

and so putting everything together, we get $f(t)$ :

$f(t)\equiv-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)+6u(t-7)$
$f(t)\equiv-5u(t)-u(t-1)+12u(t-7)$

5 0

3 years ago

Yoda soda is the intergalacatic party drink .You are throwing a party and you need 5 liters of Yoda soda for 12 guest. If you ha

aksik [14]

Answer:

15 liters

Step-by-step explanation:

Given:

We need 5 liters of Yoda soda for 12 guest.

To find:

If we have 36 guest how many liters of Yoda soda we need.

Solution:

<u>By unitary method:</u>

For 12 guests, we need liters of Yoda soda = 5

For 1 guest, we need liters of Yoda soda = $\frac{5}{12}$

For 36 guests, we need liters of Yoda soda = $\frac{5}{12}\times36=\frac{180}{12} =15\ liters$

Therefore, we need 15 liters of Yoda soda for 36 guests.

7 0

3 years ago

Help pls! I can't figure it out

katrin2010 [14]

Answer:

It’s 72
Hope this helps!

5 0

3 years ago