What is the reasonable domain for v(x)

Answer:

[tex]\frac{26}{3}[/tex]pounds

Step-by-step explanation:

Given parameters:

 Mass of gold in the chest box = [tex]3\frac{1}{3}[/tex]pounds

Unknown:

Number of pounds of gold the chest can hold = ?

Solution:

The chest can hold [tex]2\frac{3}{5}[/tex]times the amount of the box ;

So;

 Number of pounds of the gold in the chest can hold;

        =  [tex]2\frac{3}{5}[/tex] times  x Mass of gold in the chest box

        = [tex]\frac{13}{5}[/tex] x [tex]\frac{10}{3}[/tex]

        = [tex]\frac{26}{3}[/tex]pounds

Answer:

3rd one

Step-by-step explanation:

Answer:

1 AND 3 it was hard........

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]

And its value is 180:

[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]

Multiplying by 2:

[tex](h+9)h=360[/tex]

Operating:

[tex]h^2+9h-360=0[/tex]

Factoring:

[tex](h-15)(h+24)=0[/tex]

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

Solution :

Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]

If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex]  which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].

And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.

The area if the triangle is =  [tex]$\frac{1}{2} \times 9 \times 9$[/tex]

                                         = [tex]$\frac{81}{2}$[/tex]

Now the entire area is [tex]$(16)^2$[/tex]  = 256

Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]

or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]

Thus the answer is [tex]$\frac{431}{512}$[/tex]

Answer:

I believe 9

Step-by-step explanation:

25-21=4 (21 is 7×3)

4-4=0 (2×2)

The fewest number of groups are 9.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

25 students are working in groups on a science project, age group can have either two or three students in it.

To find the fewest number of groups:

25 divided by 3 we get remainder 1.

But 1 student can not form a group.

So, we have to find the remainder number that can form a group or groups.

25 divided by 3,

we get quotient 7 and 4 remainder.

And 4 means, 2 groups of 2 students in each.

That means, the number of groups are 7+2 = 9

Therefore, 9 is the required number.

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Answer:

19/99

yes this is the answer

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

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Answer:

I trhink you´ll have 117000

my explanation:

4.5 × 12=54%

54%=1 year

54% + 54%

108% + 27%

135% =67000

67000 + 50000

Answer:

The degree of a polynomial is one more than the degree of its depressed polynomial.

Step-by-step explanation:

Answer: m<10 less than 10 is the answer so it would be m<10

Step-by-step explanation:

Step-by-step explanation:

a. 25% of 84  = ?

         To solve this problem;

         [tex]\frac{25}{100}[/tex] x 84

    25 goes in 100,  4 times

 = [tex]\frac{1}{4}[/tex] x 84

 = 21

b. [tex]\frac{24}{100}[/tex] x 200  = ?

    100 goes in 200 , 2 times

    24 x 2  = 48

c. [tex]\frac{10}{100}[/tex] of t  = 5

         [tex]\frac{10}{100}[/tex] x  t = 5

          [tex]\frac{t}{10}[/tex]  = 5

           t  = 50

Answer:

the first one is 21 and the second one is 11

Step-by-step explanation:

I am not 100 percent sure

Answer:

when you use to typewriter, you have to use the carriage return at the end of every line In a typewriter, the fundamental unit of display,if you like,is a line. You type a line, then use the carriage return.

the fundamental unit a Word document is a paragraph.

When you use to word processor,such as Word, you don't use the carriage return at the end of every line. You just keep typing. Type type type. Word knows where the margins are. You can see the margins, too: the dotted rectangle on the page show you where they are. Just keep typing and Word will wrap the text within the margins.

Make sure you can see when you've pressed Enter by clicking the q button on the Standard Tollbar or on the Home tab. The q is the end-of-paragraph market.It shows you when you've pressed Enter

Press Enter to indicate the end of a paragraph,not the end of a line.

Answer:

B

Step-by-step explanation:

Its the only one that makes sense

Answer:

Its B.

Step-by-step explanation:

√12= 3.46

It is greater than 0 and less than 4.

the answer is $173.25( I had a question for this and i got it correct hope this helps)

Answer:

(A) The probability that a bulb burns between 778 and 834 hours is 0.51118.

(B) The probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs  is 0.00079

Step-by-step explanation:

Let X denote the life time of light bulbs.

It is provided that X follows a normal distribution with mean of 800 hours and standard deviation of 40 hours.

(A)

Compute the probability that a bulb burns between 778 and 834 hours as follows:

[tex]P(778<X<834)=P(\frac{778-800}{40}<\frac{X-\mu}{\sigma}<\frac{834-800}{40})\\\\=P(-0.55<Z<0.85)\\\\=P(Z<0.85)-P(Z<-0.55)\\\\=0.80234-0.29116\\\\=0.51118[/tex]

Thus, the probability that a bulb burns between 778 and 834 hours is 0.51118.

(B)

Compute the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs as follows:

[tex]P(\bar X\geq 820)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}\geq \frac{820-800}{40/\sqrt{40}})\\\\=P(Z>3.16)\\\\=1-P(Z<3.16)\\\\=1-0.99921\\\\=0.00079[/tex]

Thus, the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs  is 0.00079

Using the normal distribution and the central limit theorem, it is found that there is a:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The probability is the p-value of Z when X = 834 subtracted by the p-value of Z when X = 778, hence:

X = 834:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{834 - 800}{40}[/tex]

[tex]Z = 0.85[/tex]

[tex]Z = 0.85[/tex] has a p-value of 0.8023.

X = 778:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{778 - 800}{40}[/tex]

[tex]Z = -0.55[/tex]

[tex]Z = -0.55[/tex] has a p-value of 0.2912.

0.8023 - 0.2912 = 0.5111

0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.

Item b:

Sample of 40, hence [tex]n = 40, s = \frac{40}{\sqrt{40}}[/tex].

The probability is 1 subtracted by the p-value of Z when X = 820, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{820 - 800}{\frac{40}{\sqrt{40}}}[/tex]

[tex]Z = 3.16[/tex]

[tex]Z = 3.16[/tex] has a p-value of 0.9992.

1 - 0.9992 = 0.0008

0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.

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Answer:

−234.96

Step-by-step explanation:

Hope its the right answer that you're looking for :)

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Apply the fraction rule,

Divide the Numbers,

Factor the Number, then cancel the common factor!

Answer: No, it is not possible to form a triangle with these side lengths.

The sketch is provided below

==========================================================

Explanation:

The triangle inequality theorem says that the sum of any two sides must be larger than the third side.

But notice that 5+6 = 11 which is not larger than 12.

I recommend cutting out slips of paper that are 5 inches, 6 inches and 12 inches long. You can also use software to get the job done, which is what I did. You should see that it is impossible to form a triangle. If you place the 5 inch and 6 inch slips on either end of the 12 inch portion, then you should see the we effectively have an open-ended "triangle". I'm putting it in quotes because we don't have a triangle forming, but instead what looks to be an incomplete version of it.

The sketch of what I'm referring to is shown below. I used Geogebra to make the drawing. Imagine the red and blue segments able to swing freely while the green horizontal segment stays completely still. No matter how the red and blue segments rotate, they will never meet up to form a triangle.

The dashed circles show the range of motion that is possible for each swinging red and blue segment. If the red and blue segments lay perfectly on top of the green segment, they add to 5+6 = 11, which comes up short of the 12 inch segment.

No, it is not possible to draw a triangle with sides measuring 5ft, 6ft, and 12ft.

The polygon known as a triangle has three sides and three vertices.

The triangle's total angle is 180 degrees.

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The reason is that according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

However, in this case, 5ft + 6ft = 11ft, which is less than the length of the third side, 12ft.

Therefore, a triangle cannot be formed with these side lengths.

To demonstrate why it isn't possible, you can draw a line segment of length 12ft and label it as the third side of the triangle.

Then, try to draw the other two sides (5ft and 6ft) originating from the same endpoint as the 12ft side.

You will notice that the two sides will never meet to form a triangle, since they are too short to bridge the gap between the two endpoints of the 12ft side.

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Answer:

its y=x+7

Step-by-step explanation:

(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²

= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)

= p ⁻¹⁶ q ⁻²⁰

Answer:

The probability that a car has a gas mileage between 29.8 and 30.3 miles per gallon is 0.0955

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

becaue i siad so

Answer:

The slope would be 7.

Step-by-step explanation:

Count the number of spaces the line goes up from point A to point B.

Answer:

Slope= -1,2

Y-Int=(0,-1)

Equation= Y=-1/2x-1

Step-by-step explanation:

Answer:

A:42 B:$4.20

Step-by-step explanation:

A: 84x1.5=126 126/3=42

B: 42x10=420=$4.20