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2 years ago

What is the series in Expanded Form?

Mathematics

1 answer:

tangare [24]2 years ago

7 0

Answer:

∴ ∑₁⁸i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8

Step-by-step explanation:

Given:

To Find:

∑₁⁸i =?

Solution:

Σ This symbol called Sigma means "summation up"

∴ ∑ n mean sum for all n

But if ∑₁³n means Sum for n=1 , 2 ,and 3 ADD

∴ ∑₁³n = 1 + 2 + 3

∴ ∑₁⁸i = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8

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Wangari plants trees at a constant rate of 1212 trees every 33 hours. Write an equation that relates pp, the number of trees Wan

igor_vitrenko [27]

Answer:

$p=4h$

Step-by-step explanation:

Let p be the number of trees Wangari plants, and h be the time she spends planting them in hours.

We have been given that Wangari plants trees at a constant rate of 12 trees every 3 hours.

Let us find number of trees planted in 1 hour by dividing 12 by 3.

$\text{Number of trees planted in 1 hour}=\frac{12\text{ plants}}{3\text{ hour}}$

$\text{Number of trees planted in 1 hour}=4\frac{\text{ plants}}{\text{ hour}}$

We can represent this information as: $p=4h$

Therefore, the equation $p=4h$ relates the number of trees (p) Wangari plants, and the time (h) she spends planting them in hours.

3 0

3 years ago

Read 2 more answers

Find the perimeter of a triangle with sides 2x - 3y, x2 + y and 2x + y units

Lesechka [4]

Perimeter = (2x -3y) + (x² + 7) + (2x + y)
Perimeter = 2x -3y + x² + 7 + 2x + y
Perimeter = x² + 4x - 2y + 7

------------------------------------
Answer: x² + 4x - 2y + 7
------------------------------------

8 0

3 years ago

Identify the slope of the graph below

Fittoniya [83]

Answer:

Positive

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Megan is the manager of a computer shop she organises a sale with 18% off all tables Megan changes the price of own table from £

Dominik [7]

Answer:

this is easy. all you have to do is figure out what 18% of 389 is and then subtract that answer from 389. the easy trick i use is to make a fraction with the numerator being a question mark and the denominator being 389 (displayed below). then you would make a second fraction with 18 as the numerator and 100 being the denominator (displayed below). you would then multiply 389 with 18 and divide by 100 to get the numerator of the first fraction (which is 70.02). now you subtract 70.02 from 389 (being 318.98). this would mean that Megan has not done the math correctly.

Step-by-step explanation:

?/389 = 18/100

389 x 18 = 7002

100/7002 = 70.02

389 - 70.02 = 318.98

3 0

2 years ago

Can anyone do 4,5 and 6 for me plz

cricket20 [7]

For question 4, $sinA =\frac{a}{c}, cosA= \frac{b}{c}, tan B = \frac{b}{a}, sin J = \frac{j}{l}, cosK = \frac{j}{l}, tanK = \frac{k}{j}.$

Question 5. Option a and question 6. Option j

Step-by-step explanation:

Step 1:

The three basic formula needed to solve these questions are:

$sin\theta = \frac{oppositeside}{hypotenuse} , cos\theta = \frac{adjacentside}{hypotenuse}, tan\theta= \frac{opposite side}{adjacent side}.$

Step 2:

Using the above formula, we solve the following values

$sinA = \frac{oppositeside}{hypotenuse}$ $=\frac{a}{c}.$

$cosA = \frac{adjacentside}{hypotenuse}$ $= \frac{b}{c}.$

$tanB= \frac{opposite side}{adjacent side}$ $= \frac{b}{a}.$

$sinJ = \frac{oppositeside}{hypotenuse}$ $= \frac{j}{l}.$

$cosK = \frac{adjacentside}{hypotenuse}$ $= \frac{j}{l}.$

$tanK= \frac{opposite side}{adjacent side}$ $= \frac{k}{j}.$

Step 3:

For question 5, The triangle's angle = 23°, opposite side = BC inches and hypotenuse = 4 inches.

$sin\theta= \frac{opposite side}{hypotenuse}. sin 23^{\circ}= \frac{BC}{4}, sin23^{\circ} = 0.3907,BC = (0.3907)(4) = 1.5628.$

SO BC is 1.5628 inches, rounding this off to the nearest tenth, we get BC = 1.6 inches which is option a.

Step 4:

For question 6, The triangle's angle = 50°, opposite side = QR m the adjacent side = 8.1 m.

$tan\theta= \frac{opposite side}{adjacentside}. tan 50^{\circ}=\frac{QR}{8.1}, tan50^{\circ} = 1.1917,QR = (1.1917)(8.1) = 9.65277$

SO QR is 9.65277 meters, rounding this off to the nearest tenth, we get QR = 9.7 inches which is option j.

7 0

2 years ago