All categories

3 years ago

Use your preferred strategy to find the missing terms in the arithmetic sequence.

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

15, 20, 30, 35, 40, 50
(+5) (+10) (+5) (+10)..etc

You might be interested in

Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

6 0

3 years ago

What is 45/243 simpfiled?

Harrizon [31]

One way to do this is to factor both parts of the fraction (prime factors):-

45 = 3*3*5
243 = 3*3*3*3*3

note that 3*3 is common to both factors

so we can write its as 5 / 3*3*3 = 5/27

7 0

4 years ago

Determine the value of x that makes each equation true.

Agata [3.3K]

Your answer is B. Hoped this helped.

4 0

3 years ago

Can someone help me with this please?

Elenna [48]

It will take them 6 Pieces of wood rebuild it

3 0

4 years ago

Wyatt and his little sister are saving up money to buy a joint birthday present for their mother. Wyatt already has $20 saved an

Ilia_Sergeevich [38]

Answer:

The two siblings will have saved the same amount towards their mother's gift after 3 weeks.

Amount saved by Wyatt = $\$41$

Amount saved by Wyatt's sister = $\$41$

Step-by-step explanation:

Let $t$ (in weeks) denotes the time period by which the two siblings will have saved the same amount towards their mother's gift.

Wyatt already has $20 saved and plans to save $7 per week from his allowance.

Amount saved by Wyatt = $20+7t$

Wyatt's sister has $14 saved so far and will save $9 per week from hers.

Amount saved by Wyatt's sister = $14+9t$

To find the time period by which the two siblings will have saved the same amount towards their mother's gift,

solve the following equation.

$20+7t=14+9t\\20-14=9t-7t\\6=2t\\3=t$

So, the two siblings will have saved the same amount towards their mother's gift after 3 weeks.

Amount saved by Wyatt = $20+7(3)=20+21=\$41$

Amount saved by Wyatt's sister = $14+9(3)=14+27=\$41$

4 0

3 years ago