Which of these is the smallest number?

Answer:

a.

Approximately [tex]24.7\; \rm in[/tex].

b.

While there are three diagonals in a box (a rectangular prism,) all three diagonals goes through the same point- the centroid of this box.  

For a maximum-length poster to fit in this box, it would have to be on one of the main diagonals of this box. Hence, any maximum-length poster that fits in this box would go through the centroid of this box.

It's not possible to force more than one posters to go through the same point (i.e., the centroid) in space. Hence, it would not be possible to fit a second maximum-length poster into this box.

This argument does not apply to  [tex]21.5\; \rm in[/tex] posters. These posters are shorter than the diagonal of this box; they could fit inside the box without having to go through a particular point in space.

Step-by-step explanation:

The longest poster that could be fit into this box (a rectangular prism) would be as long as the longest line segment in this box. That line segment would be one of the three diagonals of this box.

Apply the Pythagorean theorem twice to find the length of that diagonal.

Start by finding calculating the diagonal of the base of this box. The base of this box is a rectangle with width [tex]8\; \rm in[/tex] and length [tex]10\; \rm in[/tex]. The length of its diagonal would be [tex]\sqrt{8^2 + 10^2}[/tex] inches.

Combine that with the height of this box to find the length of the diagonal of this box.

[tex]\begin{aligned}& \sqrt{{\left(\sqrt{8^2 + 10^2}\right)}^2 + 12^2 \\ &= \sqrt{8^2 + 10^2 + 12^2} \\ &\approx 24.7 \end{aligned}[/tex].

Answer:

x would be equal to 6

Step-by-step explanation:

24 would be divided by 4 because it's 4x

Answer:

x = 24 ÷ 4 or 24/4

Step-by-step explanation:

In order to isolate the variable, you multiply both sides by the reciprocal of 4, which is 1/4.

Answer: 160

Step-by-step explanation:

Based on the information given in the question, let the total reviews left for the product be represented by x.

Therefore, 65% of x = 104

65% × x = 104

0.65 × x = 104

0.65x = 104

x = 104/0.65

x = 160

Therefore, 160 reviews were left for the product.

Answer:

Easily Monkeys

Step-by-step explanation

Some say it is on the grounds that they make mental guides for effectively going through the timberland shelter starting with one fruiting tree then onto the next. ... "As well as drawing in travelers, monkeys assume significant parts in the woods as they scatter seeds.

Answer:

.3078542 -----> 5,000,000

.0372 ------> 2,500

.26319 ------> 100,000

Step-by-step explanation:

[tex].3078542 = \frac{3078542}{10000000} = \frac{1539271}{5000000}\\\\\\.0372 = \frac{372}{10000} = \frac{186}{5000} = \frac{93}{2500}\\\\\\\\.26319 = \frac{26319}{100000} \\[/tex]

Answer:

If y=−3,

then

4y/4+y

=4×(-3)/4+(-3)

= -12/1

= -12 ,,

Answer:

yes, it is right triangle

Step-by-step explanation:

to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.

next, the angle between 12 and 5 must be 90 to prove that it was right triangle

to prove that, let's use cosinus theorem

[tex] {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90[/tex]

from that, we know it is a right triangle

Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

the volume is 600

Step-by-step explanation:

15*8*5=600

v=w*h*l

Answer:

<2

Step-by-step explanation:

A vertical angles are "pairs of opposite angles made by two intersecting lines." We can see that the same two lines that form <5 form an angle opposite to it, <2.

Answer:

A

Step-by-step explanation:

This can be rearranged as 4^3 * 1/(4^6)

or (4^3)/(4^6)

This can be changed to:

(4^3)/((4^3)*(4^3)

Which is equal to 1/(4^3)

or

4^(-3)

Answer:

Here is the picture

Step-by-step explanation:

The number lies between x-values 4 and 6 and y-values 6 and 9.

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given that scatter plot lies in quadrant 1 of a coordinate plane, and the 14 points are plotted in the first quadrant.

We need to find the range of x and y values for this scatter plot.

The x values of the 14 points are given as;

2, 4, 4,1, 5, 5, 5, 5, 6, 6, 7, 8, 9.5, 9.5

The y values of the 14 points are given as;

5, 6, 9, 7.2, 6, 6.8, 8, 9, 7, 8.5, 10, 10.5, 9.5, 11.4

We can conclude that that most of the points are clustered between x-values 4 and 6 and y-values 6 and 9.

Therefore, the points are clustered between the x-values 4 and 6 and y-values 6 and 9.

To learn more about the coordinates;

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The complete question is

Select the correct answer. Scatter plot in quadrant 1 of a coordinate plane. 14 points are plotted at (2, 5), (4, 6), (4, 9), (4.1, 7.2), (5, 6), (5, 6.8), (5, 8), (5, 9), (6, 7), (6, 8.5), (7, 10), (8, 10.5), (9.5, 9.5), and (9.5, 11.4). Between which x-values and y-values does the cluster in this scatter plot lie? A. It lies between x-values 2 and 4 and y-values 4 and 6. B. It lies between x-values 4 and 6 and y-values 9 and 10. C. It lies between x-values 4 and 6 and y-values 6 and 9. D. It lies between x-values 7 and 9 and y-values 10 and 11.

Answer: 23 square feet

Step-by-step explanation:..... ummm yeah?

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Answer:

28 in.

Step-by-step explanation:

Since the right portion of the figure is a square, the unlabeled bottom must be the same as the top or 6 in., therefore just add up the pieces starting on the right side. (5 + 6 + 2 + 5 + 4 + 6 = 28)

Answer:

The answer is B

Step-by-step explanation:

8 times 12 = 96

2L + 2W = 40

2(8) + 2(12) = 40

because

16 + 24 = 40

Hope this helps!

Answer:

It takes 8.7 hours for there to be 3300 bacteria present.

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate.

2400 bacteria are placed in a petri dish.

This means that [tex]P(0) = 2400[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2400(1+r)^t[/tex]

The conditions are such that the number of bacteria is able to double every 19 hours.

This means that [tex]P(19) = 2P(0)[/tex]. We use this to find 1 + r.

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]2P(0) = P(0)(1+r)^{19}[/tex]

[tex](1+r)^{19} = 2[/tex]

[tex]\sqrt[19]{(1+r)^{19}} = \sqrt[19]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{19}}[/tex]

[tex]1 + r = 1.03715504445[/tex]

So

[tex]P(t) = 2400(1+r)^t[/tex]

[tex]P(t) = 2400(1.03715504445)^t[/tex]

How long would it be, to the nearest tenth of an hour, until there are 3300 bacteria present?

This is t for which [tex]P(t) = 3300[/tex]. So

[tex]P(t) = 2400(1.03715504445)^t[/tex]

[tex]2400(1.03715504445)^t = 3300[/tex]

[tex](1.03715504445)^t = \frac{3300}{2400}[/tex]

[tex]\log{(1.03715504445)^t} = \log{\frac{33}{24}}[/tex]

[tex]t\log{1.03715504445} = \log{\frac{33}{24}}[/tex]

[tex]t = \frac{\log{\frac{33}{24}}}{\log{1.03715504445}}[/tex]

[tex]t = 8.7[/tex]

It takes 8.7 hours for there to be 3300 bacteria present.

Answer:

32

Step-by-step explanation:

Remember angles in a triangle add up to equal 180 degrees

This means that x + 126 + 22 must equal 180

126 + 22 = 148

x + 148 = 180

subtract 148 from each side

148 - 148 cancels out

180 - 148 = 32

we're left with x = 32

Answer:

32 is the answer of above questions.

sum of observations

no. of observations

50+55+58+90+58+92+99 502

7 7

awnser is 71.7

Answer:

c

Step-by-step explanation:

<3

The monthly rate of interest is 0.0074. Therefore, option C is the correct answer.

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

The given rate of interest is 8.9%.

The monthly payment formula is M = Pr(1+ r)ⁿ/(1+ r)ⁿ - 1

Here, rate of interest

= 8.9%/12

= 0.089/12

= 0.0074

Therefore, option C is the correct answer.

To learn more about the rate of interest visit:

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Answer:

1.004728

Step-by-step explanation:

Mark as brainllest

Answer:

D   28

Step-by-step explanation:

31 own 13-15

3 own 1-3

31 - 3 = 28

Answer:

D. 28

Step-by-step explanation:

1-3 had 31 people and 13-15 had 3 people.

Then we subtract the values (31-3) to get 28.

Answer:

6÷3÷4= 0.75

Step-by-step explanation:

Each son will drink 0.75 liters of soda everyday to finish 6 liters of the soda in 4 days

Answer:

=

Step-by-step explanation:

The absolute value of 17 is equal to 17.

The other answer has a really good explanation, please take a look at that

Answer:

|17| = 17

Step-by-step explanation:

The absolute value of a real number x is defined as its positive distance from 0. Therefore, the two sides are equal. |17| does indeed equal 17.

Answer:

no

Step-by-step explanation:

Answer:

so the answer is no

Step-by-step explanation:

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/8 = 0.375

1/2 = 0.5

Then, we compare the two decimal numbers to get the answer.

0.375 is not greater than 0.5.

Therefore, 3/8 is not greater than 1/2 and the answer to the question "Is 3/8 greater than 1/2?" is no.

Answer:

x=3

Step-by-step explanation:

y=-x+3

0=-x+3

x=3

Step-by-step explanation:

what do you need explain graphing them