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solong [7]
3 years ago
9

The volume of Solid A is 171.5 m and the volume of Solid B is 500 m, If the solids are similar, find the scale factor of Solid A

to Solid B.
Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

The scale factor is 1.429

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> volume of solid B

y ----> volume of solid A

z^{3}=\frac{x}{y}

we have

x=500\ m^{3}

y=171.5\ m^{3}

substitute

z^{3}=\frac{500}{171.5}

z=\sqrt[3]{\frac{500}{171.5}}=1.429

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Which number is relatively prime to 63?<br> A. 114<br> B. 99<br> C. 87<br> D. 25
ElenaW [278]

Answer:

The answer is 114 which is the first answer which is A

Step-by-step explanation:

The rest 99, 87, and 25 just dont

Hope this helps you

7 1
4 years ago
Identify the error or errors in this argument that supposedly shows that if ∃xp (x) ∧ ∃xq(x) is true then ∃x(p (x) ∧ q(x)) is tr
Ymorist [56]

The mistake lies in steps 3 and 5.

In fact, you know that there exists some element that satisfies p(x), and some element that satisfies q(x), but you can't assume that the same element satisfies p(x) and q(x) at the same time.

So, you are only allowed to say

p(c) existential instantiation from (2)

q(d) existential instantiation from (4)

and so you can't do the conjunction in step 6 anymore.


Here's an example: if you follow this logic, you would say something like:

"There exists a person who is born in Italy and there exists a person who is born in the USA. Therefore, there exists a person who is born in both Italy and the USA"

which is clearly false: altought there exists a person for each proposition, they are not the same person.


This is even easier if q is the negation of p:

"There exists a number greater than 10, and there exists a number lesser than 10. Therefore, there exists a number that is greater than and lesser than 10 at the same time"

which is clearly absurd

8 0
3 years ago
A weight-management researcher was interested in whether the size of breakfast could deter overall food consumption throughout t
Masja [62]

Answer:

The question is not correctly stated, here is the correctly stated question:

A weight-management researcher was interested in whether the size of breakfast could deter overall food consumption throughout the rest of the day. He creates two breakfast groups, a 350-calorie breakfast and a 750-calorie breakfast, assigns six participants to each group and tracks their total calories eaten in one day. Because of the detailed attention needed to accurately interview participants about their eating, he works with the high-calorie group and has his assistant interview the low-calorie group.

How many levels does the independent variable have in this study?

a. 1

b. 2

c. 6

d. It is impossible determine with the information given.

The correct answer is 2 (b)

Step-by-step explanation:

Variables are properties, of an experiment that take on different amount or values, unlike a constant that has one unchanging value assigned to it.

There are two kinds of variables; dependent and independent variables. Independent variables are variables that the scientist/experimenter has the power to manipulate at will. In our example, the independent variable is "the size of breakfast" because the experimenter chose by reason of will to either use 350-calories or 750- calories breakfast. While the dependent variables are variables whose outcomes are with respect to the change in the independent variable. The experiment is actually out to observe how the dependent variable plays out during the experiment. In our example, the dependent variable is "overall food consumption throughout the rest of the day". The outcome of the overall food consumption throughout the rest of the day is as a result of the size of breakfast taken.

Next, the independent variable can take on various levels, and the number of levels are the number of experimental conditions that the independent variables can take. In our example the independent variable (size of breakfast), was either 350-calories breakfast or 750-calories breakfast, hence it took 2 experimental conditions. Most of the time, 2 level independent variables are the independent and the control variables. For clarity, another example is; "a research to determine the effect of five kinds of body creams on the skin color after 2 years", the dependent variable is the skin color, while the independent variable is the type of cream and in this case there are five types of creams, hence the level of the independent variable is 5.

5 0
3 years ago
A customer calls and has questions about the bill for their first month's subscription. They want to know why the monthly rate i
HACTEHA [7]

Answer:

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Step-by-step explanation:

The correct option is:

The subscription began about 10 days before the 15th of the month.

The reason for being charged $60 instead of $45 which is the monthly rate is that they started the subscription prior the the cycle date of the bill period. Due to the change in the cycle date, the customer is getting a prorated charge for the days that had service prior to the date of the bill and current cycle starting

3 0
3 years ago
What is the sum of ? × ? + ? =297
8090 [49]

Answer:

145 x 2 + 7 = 297

- I hope this helps have a great night!

8 0
3 years ago
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