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Ulleksa [173]
1 year ago
11

List the next three numbers for the sequence: 34, 102, 408, 2040, ...

Mathematics
1 answer:
stiv31 [10]1 year ago
5 0

Answer:

12240

85680

685440

Step-by-step explanation:

We know that the sequence is growing rapidly

To see how rapidly divide the second term by the first term

102/34 =3

Check the third term divided by the second term

408/102 =4

Check the fourth term divided by the third term

2040/408=5

To get the second term, multiply by 3,  to get the third term multiply by 4

to get the fourth term multiply by 5

to get the nth term multiply by (n+1)

The 5th term would be multiplied by 6

2040 *6 =12240

The 6th term by 7

12240*7=85680

The 7th term by 8

85680*8=685440

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Anna makes a pot of vegetable bean soup. She is using 1/4 cup measuring cup. How many times will Anna need to fill the measuring
docker41 [41]

Answer:

3 1/2

Step-by-step explanation:

1/4=2/8

7/8 divided by 2/8= 3 1/2

6 0
1 year ago
Uma empresa transporta armários para escritórios para uma localidade distante 425km. Seu custo é de R$2,10 por km rodado. Quando
MariettaO [177]

Answer:

1.  <u>$14.88</u>

2.  <u>$12.40</u>

Step-by-step explanation:

An english translation:

<em>A company transports office cabinets to a location 425km away. Its cost is R $ 2.10 per km traveled. When the cabinets are assembled, the vehicle's capacity is 60 units. When they are disassembled the capacity increases 6 times. We ask: 1- What is the cost per assembled cabinet? 2- What is the savings per cabinet, when these are taken apart.</em>

<em />

<u>Solution:</u>

425 km with 2.10 per km means:

425 * 2.10 = $892.50 total cost

Now, when assembled, there goes 60 cabinets, so cost per assembled cabinet is:

<u>Cost per assembled cabinet = 892.5/60 = $14.875 = $14.88</u>

<u></u>

The capacity of 60 after disembling, it becomes:

60 * 6 = 360

So, cost per cabinet becomes:

892.5/360 = <u>$2.48</u>

The savings is how much you save up if they were assembled:

14.88 - 2.48 = <u>$12.40</u>

<u>Savings = $12.40</u>

8 0
2 years ago
The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?
sdas [7]
<h2>Steps</h2>

So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

x\sqrt{2} =18

From here we can solve for x. Firstly, divide both sides by √2.

x=\frac{18}{\sqrt{2}}

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}

Next, divide:

x=9\sqrt{2}

<h2>Answer</h2>

<u>In short, the length of one leg of the triangle is 9√2 cm.</u>

5 0
1 year ago
Read 2 more answers
M∠1=45° and m∠3=65°
7nadin3 [17]

Answer:

In Right Δ ABC with right angle B,

∠A=(3 x -8)°, ∠B=90°, ∠C=(x-2)°

∠A+∠B+∠C=180°[∠ sum property of triangle]

3 x-8+90 + x-2=180

Adding and subtracting like terms

4 x-10+90=180

4 x+80=180

4 x=180-80

4 x=100

x=100/4

x=25°

∠A=3×25-8=75-8=67°




6 0
2 years ago
Read 2 more answers
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x2 to the number of x-intercepts in
Natalija [7]
Important:  Please use " ^ " to indicate exponentiation:

<span>"f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2."

Notes:  the graph of f(x) = x^2 is a vertical parabola that opens up.  It has its vertex at (0,0).  This is the only point at which f(x)=x^2 has a horiz. intercept.

g(x) = x^2 + 2 has a graph that looks the same as that of f(x) = x^2, EXCEPT that the whole graph is moved 2 units UP.  This new graph never touches or intersects the x-axis.  Therefore, g(x) has NO horiz. intercepts (no x-int.).

</span>
7 0
2 years ago
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