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LekaFEV [45]
3 years ago
5

A triangular prism that is 24 feet wide, 18 feet long and 3 feet high is sitting on top of a rectangular prism that is 24 feet w

ide, 18 feet long and 8 feet tall. What is the total volume of this combination of prisms.
Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:   144

Step-by-step explanation:

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3 years ago
The recursive rule for a geometric sequence is given.
barxatty [35]
Answer: The explicit rule for the geometric sequence is:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...

Solution:

a1=2/5
an=5 (an-1)

n=2→a2=5 (a2-1)= 5 (a1)= 5 (2/5)→a2= (2/5) (5)
n=3→a3= 5 (a3-1)= 5 (a2)= 5 [(2/5) (5)]=(2/5) (5)^(1+1)→ a3=(2/5) (5)^2
n=4→a4= 5 (a4-1)= 5 (a3)= 5 [(2/5) (5)^2]= (2/5) (5)^(2+1)→ a4=(2/5) (5)^3

a1=2/5=(2/5) (1)=(2/5) (5)^0→a1=(2/5) (5)^(1-1)
a2=(2/5) (5)=(2/5) (5)^1→a2=(2/5) (5)^(2-1)
a3=(2/5) (5)^2→a3=(2/5) (5)^(3-1)
a4=(2/5) (5)^3→a4=(2/5) (5)^(4-1)

Then:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...
5 0
3 years ago
Read 2 more answers
In a board game, you gain 1.5x the number of coins in your purse every time you pass start. However, you max out at 300 coins. I
goblinko [34]

Answer:

6

Step-by-step explanation:

5 0
1 year ago
Is the following shape a square? How do you know
DENIUS [597]
No, because all sides are not congruent. The answer is B.
5 0
3 years ago
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A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee.
Greeley [361]

Answer:

The correct option is B.

Step-by-step explanation:

The hypothesis to determine whether the vending machines are properly dispensing 12 ounces of coffee is:

<em>H</em>₀: \mu_{A}=\mu_{B}=\mu_{C}

<em>Hₐ</em>: Not all means are equal.

The ANOVA output is as follows:

One-way ANOVA: Machine A, Machine B, Machine C

Source           DF              SS                MS              F              P

Factor              2            8.363           4.182         31.73       0.000

Error               15             1.977            0.132

Total               17           10.340

The significance level is <em>α </em>= 0.05.

The <em>p</em>-value of the model is:

<em>p</em>-value = 0.000

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

<em>p</em>-value = 0.000 < <em>α </em>= 0.05

The null hypothesis will be rejected.

Conclusion:

There is a significant difference between the means.

Thus, the correct option is B.

3 0
2 years ago
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