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nalin [4]
3 years ago
5

Find the value of this expression if x=1 and y=4 xy^2/7

Mathematics
2 answers:
Rom4ik [11]3 years ago
6 0
Xy^2/7 = (1)(4)^2/7 = 4^2/7 = 7 square root 4^2 = 7 square root 16 = 7 square root 4
deff fn [24]3 years ago
3 0

Answer:

2 2/7

Step-by-step explanation:

What we know:

x = 1, and y = 4

The equation is xy^2/7

1(4)^2/7

4^2/7

16/7 = 2 2/7

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An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample
Nady [450]

Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

H1 : μ < 20

Sample mean, xbar = 18 ;

Sample size, n = 36

Standard deviation, s = 5

At α = 0.01

The test statistic :

(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

= - 2.4

Pvalue from test statistic : Pvalue = 0.00819

Pvalue < α

0.00819 < 0.01

Hence, we reject the Null

7 0
3 years ago
What algebraic expression represents the phase “two times the quantity of a number minus 12”
MakcuM [25]

Answer:

2(n-12)

Step-by-step explanation:

3 0
3 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
The difference between 783 and 529
erastovalidia [21]

Answer:

254

Step-by-step explanation:

If you subtract both numbers, you will find the answer is 254

8 0
2 years ago
Emily has a box where she stores her toys, the box has a height of 24 inches, a length of 40 inches, and a width of 10 inches. W
emmainna [20.7K]

Answer:

2)

Step-by-step explanation:

Volume of box = length * width * height

                         = 40 * 10 * 24

                         = 9600 cubic inches

5 0
3 years ago
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