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oee [108]
3 years ago
7

Kala is building a fence around her garden. For every 4 feet of fencing. the cost is 36$ . Complete the table below showing the

length of the fence and the cost.
Length of fencing: (4) (6) (7) (_) (10)
Cost: (36) ( _ ) (_) 81 (_)
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

Length of fencing: 4, 6, 7, 9, 10

Cost: 36, 54, 63, 81, 90

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Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . .A) 45B) 42C) 48D) 25
Leni [432]

SOLUTION

From the sequence give

–3, 1, 5, 9, . . .

The first term, a = -3

The common difference, d = 4 (gotten by adding 4 to the next term).

The number of terms required n = 6.

Formula for sum of an arithmetic sequence is given by

S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack

Substituting these values into the equation above we have

\begin{gathered} S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack \\ S_6=\frac{6}{2}\lbrack2\times-3+(6-1)4\rbrack \\ S_6=3\lbrack-6+(5)4\rbrack \\ S_6=3\lbrack-6+20\rbrack \\ S_6=3\lbrack14\rbrack \\ S_6=42 \end{gathered}

Hence, the answer is 42, option B

3 0
11 months ago
Use the diagram to find the measure of angle KHL.
bija089 [108]

Answer:

m∠KHL = 43°

Step-by-step explanation:

From the picture attached,

m∠KHL ≅ m∠GHL [Given in the picture]

Now substituting the values of the angles,

(3x + 1) = (5x - 27)

1 + 27 = 5x - 3x

28 = 2x

14 = x

m∠KHL = (3x + 1)° = (3 × 14) + 1

                             = 42 + 1

                             = 43°

Therefore, measure of ∠KHL = 43°

3 0
3 years ago
Part 1 state the domain and range of the given relation.
hram777 [196]
A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which NO two ordered pairs have the same first component and different second components.

The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.

The set of second components (y-coordinates) is the RANGE of the relation.

Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}

Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”

Remember that a function can only take on 1 output for each input.

It helps to plot the points on the graph and perform the Vertical Line Test (VLT):

The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.


Please mark my answers as the Brainliest if you find my explanation helpful :)

5 0
2 years ago
Cuanto es 5/8 de kilometro​
Afina-wow [57]

Answer:

0.625 kilometers

7 0
3 years ago
Estimate the value of the function at x = 2. Can someone help me with this?
Zielflug [23.3K]

Answer:

y ≈ 2.1

Step-by-step explanation:

If you look at the graph and locate on the x axis 2, you can see that directly above on the line is a little more than 2.

7 0
2 years ago
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