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Marina86 [1]
2 years ago
6

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The he

ight of the cone is 14 millimeters.
What is the volume of the composite figure? Express the answer in terms of π.

144π mm3
168π mm3
312π mm3
456π mm3
Mathematics
2 answers:
jolli1 [7]2 years ago
7 0

Answer:

312π mm^2

Step-by-step explanation:

kherson [118]2 years ago
5 0

Answer:

312π mm3

Step-by-step explanation: yes

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Which of the following shows the extraneous solution to the logarithmic equation below???
avanturin [10]
Short Answer x = - 6
Remark
You gave the second best answer. 

The trick here is not to divide both sides by 2. Solve the problem this way.

log_5(x + 1)^2 = 2 Take the antilog of both sides
(x + 1)^2 = 5^2       Expand the equation
x^2 + 2x + 1 = 25   Subtract 25 from both sides.
x^2 + 2x - 24 = 0    Factor
(x + 6)(x - 4) = 0     Find the zeros.

x + 6 = 0
x = - 6  <<<<<<<< Answer. This is the extraneous root.
The reason this is an extraneous root is that x<=0 do not have a logarithem

x - 4 = 0
x = 4    This is a legitimate result to the original equation.
7 0
2 years ago
Read 2 more answers
On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is
lana66690 [7]
A. True. This is because distances are preserved and kept the same. 

B. True. Moving any point to it's corresponding image is having you travel 8 units.

C. True. Corresponding angles are congruent. 

D. False. This is not always true so in general it's false. 

The final answer is choice D
7 0
2 years ago
HURRY PLEASE When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6? The ratios are equivale
erma4kov [3.2K]

Answer:

The ratios are equivalent.

Step-by-step explanation:

If you multiply both 5 and 6, the ratio stays the same.

5:6 = 10:12 = 15:18 = 20:24 etc.

You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.

24/20 = 1.2

15/18 = 1.2

10/12 = 1.2

6/5 = 1.2

6 0
2 years ago
Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is p
lianna [129]

Answer: A

n-4(32.5) > 300;n > 430tep-by-step explanation:

given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

The minimum profit = 300 + 130 = $430

Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is

n-4(32.5) > 300;n > 430

6 0
2 years ago
Read 2 more answers
When a decision maker is faced with several alternatives and an uncertain set of future events, s/he uses __________ to develop
Step2247 [10]

Answer:

Option b: a decision analysis

Step-by-step explanation:

Option b: a decision analysis

Decision analysis is referred to that the strategic marketing planning process that consists of a systematic visual approach. it facilitates the use of all tools that can be needed to have a discussion on the decision process.  

An approach like a diagrammatic representation of available resources, choices are mentioned on influence to easily draw the decision.

4 0
2 years ago
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