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3 years ago

40.92÷4.65 simplify the following decimal expression

Mathematics

1 answer:

stepan [7]3 years ago

8 0

The answer to your question is 8.8, I worked out the math and this is what I got. I hope this helps.

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Find the total surface area of the rectangular prism

lidiya [134]

The surface area of the rectangular prism is 782 square inches.

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3 years ago

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Which one of the following pairs of sets has no members in common?

bazaltina [42]

Answer:

Step-by-step explanation:

First, eliminate obvious wrong answers.

B:X

All multiples of 12 can always be divided by 3 or 4.

Then, go from top to bottom, skipping eliminated answers.

A:X

Composite: 4, 6, 8, 9, 10, 12, 14, 15

Odd: 1, 3, 5, 7, 9, 11, 13, 15, 17

Choice A has the number 9 in common between both rules.

C:_/(Imagine that's a check)

Even numbers are integers that when divided by 2, give back another integer (Zero is included in this rule). Those that don't follow this rule are considered odd numbers. Because of this, it's impossible to get an integer that is both odd and even.

Even: 0, 2, 4, 6, 8, 10, 12, 14, 16, 18

Odd: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19

3 0

4 years ago

the probability of drawing a green marble from a bag of green and purple marbles is 2/7. If there are 36 green marbles in the ba

timurjin [86]

Answer:

There are 90 purple marbles

4 0

3 years ago

Consider the following geometric sequence: -5, 10, -20, 40,..... if the explicit formula for the sequence above is expressed in

Dima020 [189]

To solve this we are going to use the formula for the nth term of a geometric sequence: $a_{n}=a_{1}r^{n-1}$
where
$a_{n}$ is the nth term
$a_{1}$ is the first term
$r$ is the common ratio
$n$ is the place of the term in the sequence

Notice that we can infer for our problem that $B=a_{1}$ and $C=r$ .

Now, to find our common ratio, we are going to use the formula $r= \frac{a_{n}}{a_{n-1} }$
where
$a_{n}$ is the current term in the sequence
$a_{n-1}$ is the previous term in the sequence
for $a_{n}=10$ and $a_{n-1}=-5$ :
$r= \frac{10}{-5}$
$r=-2$

Since $r=C$ , we can conclude that $C=-2$ .

Notice that the first therm of our geometric sequence is -5, so $a_{1}=-5$ . Since $B=a_{1}$ , we can conclude that $B=-5$ .

We can conclude that the values of B and C in our geometric sequence are: $B=-5$ and $C=-2$ .

6 0

4 years ago

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100 POINTS PLEASE PROVIDE STEPS. THANK YOU!!!

sesenic [268]

Answer:

2/π

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

Step-by-step explanation:

f(x) = sin x

The average value of a function between x=a and x=b is:

avg = 1/(b−a) ∫ₐᵇ f(x) dx

avg = 1/(π−0) ∫₀ᵖⁱ sin x dx

avg = 1/π (-cos x) |₀ᵖⁱ

avg = 1/π (-cos π − (-cos 0))

avg = 1/π (1 + 1)

avg = 2/π

h(x) = x⁴/12 − x²/6

Find the second derivative.

h'(x) = x³/3 − x/3

h"(x) = x² − ⅓

Factor using difference of squares.

h"(x) = (x − 1/√3) (x + 1/√3)

h"(x) = 0 when x = ±1/√3. Evaluate the sign of h"(x) in each interval.

-∞ < x < -1/√3, h"(x) > 0.

-1/√3 < x < 1/√3, h"(x) < 0.

1/√3 < x < ∞, h"(x) > 0.

h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).

h(x) is concave down on the interval (-1/√3, 1/√3).

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4 years ago

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