B) If fencing costs $2.50/yd, determine the costs of building the fence.

Write an equation for the following: y varies directly with x and z. Find K when x=2, y=12 and z=5.

olga_2 [115]

$\qquad \qquad \textit{direct joint variation} \\\\ \textit{\underline{y} varies directly with \underline{x} and \underline{z}}~\hspace{8.5em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xz~\hfill } \\\\ \textit{\underline{y} varies directly with \underline{x}, }w^2\textit{ and }z^5~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xw^2z^5~\hfill } \\\\[-0.35em] ~\dotfill$

$y = kxz\qquad \textit{we know that} \begin{cases} x=2\\ y=12\\ z=5 \end{cases}\implies 12=k(2)(5) \\\\\\ \cfrac{12}{(2)(5)}=k\implies \cfrac{6}{5}=k~\hspace{10em}\boxed{y=\cfrac{6}{5}xz}$

6 0

2 years ago

After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third

irinina [24]

Answer:

The 3rd term is

$ar^2$

Step-by-step explanation:

From the given information, the first term of the sequence is

$a_1=a$

The common ratio of the sequence is

$r$

The explicit formula for a geometric sequence is :

$a_n=a_1(r^{n-1})$

To find the third term, we put n=3 to get:

$a_n=a(r^{3-1})$

This simplifies to:

$a_3=ar^2$

7 0

3 years ago

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and

soldi70 [24.7K]

Answer:

C

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Need help plsss give you brainliest plssss help me it’s rounding money cents, dime and dollar

Vladimir [108]

Answer:

Please see the attached image for solution.

Step-by-step explanation:

Cent: Rounding to the nearest cent or multiple of 0.01.

Dime: Rounding to the nearest 10 cents or multiple of 0.10.

Dollar: Rounding to the nearest dollar or multiples of 1.

For example, in question #21:

To round $12.3456 to the nearest cent: you must look at the hundredths place, and pay attention to the digit to its right. In this case, the digit at the hundredths place is 4, and to its right is 5. Therefore, you must round it up to 5, making it $12.35.

To round $12.3456 to the nearest dime: you must look at the tenths place, and pay attention to the digit to its right. In this case, the digit at the tenths place is 3, and to its right is 4. Since 4 is less than 5, you must round 4 down to 0, making it into $12.30.

To round $12.3456 to the nearest dollar: you must look at the ones place, and pay attention to the digit to its right. In this case, the digit at the ones place is 2, and to its right is 3. Since 3 is less than 5, you must round 3 down to 0, making it into $12.00.