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Y_Kistochka [10]
3 years ago
10

What is ∑n=14[100(−4)n−1] equal to? Enter your answer in the box.

Mathematics
2 answers:
masya89 [10]3 years ago
7 0

Answer:

-5100 is correct! I also just took the test :)

larisa [96]3 years ago
4 0

Answer:

-5100

Step-by-step explanation:

i just took the test

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What is the rate of change?
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12

Step-by-step explanation:

12 +30= 42

42+12=54

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Find the principal square root of 14.
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Sqrt14 = 3.74 (2dp)

The principal root is always the positive.
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Y = -x + 1.
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<img src="https://tex.z-dn.net/?f=make%20x%20the%20subject%20of%20formula%20in%20the%20equation%204a%5Csqrt%7Bx%7D%20%3D%5Cfrac%
kipiarov [429]

Answer: x = (\frac{1}{4ab})^{2}

Step-by-step explanation:

Given:

4a\sqrt{x} = \frac{1}{b}

To make x the subject of the formula means that we want to make x to stand alone , the first thing to do is to multiply through by 1/4a , that is

\sqrt{x} = \frac{1}{4ab}

take the square  of both sides:

x = (\frac{1}{4ab})^{2}

3 0
2 years ago
Read 2 more answers
Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
suter [353]

Answer:

117 in²

<u>Finding the area of the trapezoid:</u>

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

<u>Reviewing on how to find the area of the unshaded region:</u>

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

<u>Determining the height:</u>

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

<u>Determining the area of the unshaded region:</u>

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

<u>Determining the area of the shaded region:</u>

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

5 0
2 years ago
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