A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?

Answer:

The carpenter can maximize profits by making  20 dining chairs and 10 rocking chairs . His total profit for all the chairs will be $2100

Step-by-step explanation:

Let x be the no. of dining chairs and y be the no. of rocking chair

Time taken by carpenter to make 1 dining chair = 1 hour

Time taken by carpenter to make x dining chairs = x hours

Time taken by carpenter to make 1 rocking chair = 2 hour

Time taken by carpenter to make y rocking chairs = 2y hours

He only has 40 hours available to work on the chairs.

[tex]\Rightarrow x+2y \leq 40[/tex]

He has enough wood to make 30 chairs.

[tex]\Rightarrow x+y\leq30[/tex]

He makes $60 profit on a dining chair and $90 profit on a rocking chair.

So, profit =60x+90y

Plot the equations on graph

Refer the attached figure

Coordinates of feasible region

(0,20),(20,10) and (30,0)

Profit =60x+90y

At(0,20)

Profit = 1800

At(20,10)

Profit = 1200+900=2100

At(30,0)

Profit=900

So,the carpenter can maximize profits by making  20 dining chairs and 10 rocking chairs . His total profit for all the chairs will be $2100

Answer:

1/197136

Step-by-step explanation:

If there would be one pot and one plant the possibility would be 1 to take it.

It there were 2 plants and 1 pot it would be 1/2*1 = 1/2

If there were 2 plants and 2 pots it would be 1/2*2 = 1/4

With 444 plants and 444 pots it is 1/444*444 = 1/197136

There are 4×4 = 16 different combinations of plant and pot. Of those, 7 are either clay pot or cactus. Thus the probability you won't get a clay pot or a cactuis is 9/16.

Answer:

check the graph below

Step-by-step explanation:

Dilation involves changing the size and position of a point

The image of the dilation is (4,-3)

From the figure, the coordinates of point D and point P are:

[tex]D = (13,2)[/tex]

[tex]P = (1,11)[/tex]

The scale factor of dilation is given as:

[tex]k = \frac{1}{3}[/tex]

The rule of dilation about point P is then calculated as:

[tex](x,y) \to k(x_D - x_P, y_D - y_P)[/tex]

So, we have:

[tex](x,y) \to \frac 13 \times (13 - 1, 2- 11)[/tex]

Simplify

[tex](x,y) \to \frac 13 \times (12, -9)[/tex]

Expand

[tex](x,y) \to (\frac 13 \times 12, -\frac 13 \times9)[/tex]

[tex](x,y) \to (4, -3 )[/tex]

This means that, the image of the dilation is (4,-3)

See attachment for the image of the dilation

Read more about dilation at:

https://brainly.com/question/8532602

Answer:

20

Step-by-step explanation:

She will be 10 in 5 years witch means she is 5

Double five you get 10

10 + 10 = 20

Answer:

the answer is B.) 20 years old

Step-by-step explanation:

if in 5 years melissa is 10, then right now she is 5 years old. since laura is twice as old as melissa, then laura is currently 10 years old. and if Kim is 10 years older then laura, then Kim is 20 years old

Tl;Dr:

10-5=5

5x2=10

10+10=20

Answer:

The correct answer is D.

Step-by-step explanation:

Answer:

The answer is A.) (4,-128)

Step-by-step explanation:

Answer:

Our set of data is:

A. their first choice (12 people)

B their second choice (7 people)

C their third choice (3 people)

D their last choice (3 people)

The total number of people is:

12 + 7 + 3 + 3 = 25.

You already know the number of people for each situation, but let's calculate the percentage:

1st choice: The first choice of 12 people winned, and the total number of people is 25.

Now, 25 is our 100%, then 12 is equivalent to x;

Then we have

12*100% = 25*x

x = (12/25)*100% = 48%

This is:

The quotient between

Second choice:

Same reasoning as above, here the percentage is:

(7/25)*100% = 28%

Third choice:

Same reasoning as above, here the percentage is:

(3/25)*100% = 12%

Fourth/Last choice:

Same reasoning as above, here the percentage is:

(3/25)*100% = 12%

Answer:

C. rotation, then translation

Step-by-step explanation:

edge 2021

I think it's C "rotation, then translation"

not 100% sure so check other answers too

Answer:

3.9

Step-by-step explanation:

Pythagorean theorem:

a^2 + b^2 = c^2

a^2 + 1^2 = 4^2

a^2 + 1 = 16

a^2 = 15

a = sqrt(15)

a = 3.9

Answer a = 3.9 yards

Answer:

[tex]\boxed{3.9}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

Apply Pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

[tex]a^2 + 1^2 = 4^2[/tex]

[tex]a^2 + 1 = 16[/tex]

[tex]a^2 = 15[/tex]

[tex]a=\sqrt{15}[/tex]

[tex]a \approx 3.872983[/tex]

Answer:

JK = 16√2

Step-by-step explanation:

This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.

Since this has a side of 16, the hypotenuse will be 16√2.

Cheers.

Answer:

[tex]4.14*10^{-6}[/tex]

Step-by-step explanation:

Well scientific notation is (something*10^(other thing))

so we count have many zeroes there are, and there are 6, so we move the decimal point 6 times and get

[tex]4.14*10^{-6}[/tex]

Answer: It would take 6 "jumps" the left of 4.14 x 10^-6 to move the decimal back to where it actually is when not in scientific notation.   0.00000414

Step-by-step explanation:

hope this helps you :)

Answer:

3/8

Step-by-step explanation:

Hey there!

Well we need to turn 3 3/8 into an improper fraction.

3*8 = 24

24 + 3 = 27

27 ÷ 9 = 3

3/8

Hope this helps :)

The answer of the given equation is 0.375

Given that,

Based on the above information, the calculation is as follows:

[tex]= 3 \frac{3}{8} \div 9\\\\ = \frac{27}{8} \div 9\\\\ = 3.375 \div 9\\\\ = 0.375[/tex]

Learn more: https://brainly.com/question/12522729?referrer=searchResults

Answer:

7x-1

Step-by-step explanation:

i did the test

Answer:

7x-1

Step-by-step explanation:

correct answer on edge

Answer:

2.4 bags

Step-by-step explanation:

Uh you can keep your brains.

Using the data table, we get:

1, 2, 2, 3, 4 as our data.

Finding the mean:

(1+2+2+3+4)÷5=

12÷5=

2.4 bags

Answer:

Yes

Step-by-step explanation:

Well to figure out if 210879 is divisible by 3 we do,

210879 / 3

= 70 293.

Thus,

210879 is divisible by 3.

Hope this helps :)

Answer: Yes

Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.

Image is provided below.

The divisibility rules tell us that if the sum of the digits is divisible by 3,

then the number is also divisible by 3.

So since 27 is divisible by 3, 210,879 must also divisible by 3.

So our answer is yes, 210,879 is divisible by 3.

Answer:

sq. root(330)

Step-by-step explanation:

[tex] \sqrt{-55 \sqrt[3]{-216} } = \sqrt{-55(-6)} = \sqrt{330} [/tex]

[Cube root of -216 = -6]

Answer:

Step-by-step explanation:

3y + 10= 5y-25

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

that's

3y - 5y = - 25 - 10

Simplify

- 2y = - 35

Divide both sides by - 2

Hope this helps you

Answer:

y=35/2 or 17.5

Step-by-step explanation:

1) 3y + 10= 5y-25

-3y          -3y

2) 10 = 2y - 25

3) 10 = 2y - 25

  +25        +25

35= 2y

4)Divide both sides by 2

y=35/2 or 17.5

Answer:

m∠SZT = 86°

Step-by-step explanation:

First we draw the diagram from the given information. Find attached the diagram.

when two chords intersect inside a circle, the measure of the angle formed is 1/2(the sum of the measure of the arcs intercepted each other).

From the above,

m∠SZT = 1/2 (Arc SR + arc TU)

Arc SR =100 degrees

Arc TU =72 degrees

m∠SZT = 1/2 (100° + 72°)

m∠SZT = 1/2 (172°)

m∠SZT = 86°

These are circles that include lines and angles. The measure of angle m∠SZT from the given diagram is 86°

These are circles that include lines and angles. Using the theorem, the measure of the vertex is half that of its intercepted arc.

Based on the theorem;

m∠SZT = 1/2 (arcSR + arcTU)

Given

Arc SR =100 degrees

Arc TU =72 degrees

Substitute

m∠SZT = 1/2 (100° + 72°)

m∠SZT = 1/2 (172°)

m∠SZT = 86°

The measure of angle m∠SZT from the given diagram is 86°

Learn more on coordinate geometry here: https://brainly.com/question/18269861

#SPJ2

Answer:

a. 16; b. aₙ = 4ⁿ⁻¹; c. predation and carrying capacity will limit the population

Step-by-step explanation:

a. The first female had 4 pups.

If each of them had 4 pups, there would be 4 × 4 = 4² = 16 pups.

b. 1st generation                        =     1 pup

2nd generation = 4 ×  1 pup      =    4 pups

3rd generation  = 4 ×  4 pups    =  16 pups

4th generation  = 4 × 16 pups    = 64 pups

5th generation  = 4 × 64 pups = 256 pups

The sequence is           1,   4, 16, 64, 256, …

We can also write it as 4⁰, 4¹, 4²,  4³,   4⁴, …

Note that the exponent is one less than the number of the generation.

Thus, the general formula for the nth term, aₙ, is

aₙ = 4ⁿ⁻¹, where

n = the number of the generation

a = the number of pups in that generation.

c. a₂₅ = 4²⁵⁻¹ = 4²⁴ ≈ 281 000 000 000 000 or 281 trillion

The population would not reach that number because there would not be enough food for all those pups. Pups would die of starvation until their numbers equalled the carrying capacity of the ecosystem and would level off at that point.

There would also be increased predation by coyotes, bobcats, etc. This would also keep the population growth in check,

Answer:

25%

Step-by-step explanation:

Given that a restaurant meal usually cost Nu 80 but on Thursdays it cost Nu 80.

To determine the discount, we have to find the ratio between the difference between the usual cost and the cost on Thursday to the usual cost of meals. It is given by:

Percent discount = (Usual cost - Cost of meal on Thursday)/ Usual cost × 100%

Percent discount = (80 - 60) / 80 × 100% = 20 / 80 × 100%

Percent discount = 25%

Answer:

Step-by-step explanation:

The variation above is written as

[tex]R = \frac{k}{S} [/tex]

Where k is the constant of variation

when R = 15

S = 12

k = R × S

k = 15 × 12

k = 180

So the formula for the variation is

[tex]R = \frac{180}{S} [/tex]

When R = 60

We have

[tex]60 = \frac{180}{S} [/tex]

Cross multiply

That's

60S = 180

Divide both sides by 60

S = 3

Hope this helps you

Answer:

80

Step-by-step explanation:

t is important to note that a square of any non-zero integer is positive, and therefore there is no advantage in using negative integers instead of positive integers to attain the greatest difference of squares. So we will not consider negative integers.

The greatest value of a^2 - b^2 occurs when a^2 is at its largest and b^2 is at its smallest.

The larger a, the larger a^2:

8 ^ 2 = 64

9 ^ 2 = 81

10 ^ 2= 100

Since a^2 can have at most two digits, a=10 is too large, and so a=9 is the largest integral value of a we can use.

Now, b^2 is at its smallest when b is closest to zero on the number line (the further b gets from zero, the larger its square becomes):

2 ^ 2 = 4

1 ^ 2 =1

0 ^ 2 = 0

Remember to go back to the original problem sometimes, to make sure you are taking everything into account. It states b doesn't =0, and therefore the b=1 is the closest b can get to zero as an integer. So, the greatest difference between b^2 and a^2 is when b=1 and a=9, giving the result:

a^2-b^2 =9^2-1^2 =81-1= 80.

So, 80 is your answer.

Answer: y=1/4x-3/4

Step-by-step explanation:

We have our equation of a line formula y=mx+b

Then we substitute the given and get y=1/4x-3/4

Hey there!

The volume of a cone is always 1/3 of that of a cylinder with the same except dimensions. You multiply the base by the height and then divide by three!

This means that if the cylinder has a volume of 1200 meters cubed, you simply divide by three, giving you 400 meters cubed !

The answer is A. 400 m³.

Have a wonderful day! :D

Answer:900

Step-by-step explanation:A cylinder has more volume considering because of the space but a cone simply has less

In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.

Choice B is false as it contradicts choice A.

Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change

Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.

Answer:

A

Step-by-step explanation:

Answer:

The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Step-by-step explanation:

Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).

To find the values in the domain where f(x) = 0, we look at the ordered pairs given.

We look for the pair in which f(x) = 0.

So f(x) = 0 in (-2.5, 0)

f(x) = 0 in (-0.75, 0)

and f(x) = 0 in (1, 0)

The corresponding values of x  in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Answer:

C. [tex]x=1[/tex]

Step-by-step explanation:

When x is 1, y is 0.

Answer:

The lengths of the diagonals are;

15.49 cm and 5.66 cm

Step-by-step explanation:

The given area of the parallelogram = 30 cm²

Also the length of 2 adjacent sides are 6 cm and 10 cm

Given that the formula for the area of a parallelogram = Base × Height, h where the base is either of the sides of the parallelogram we have;

When the base b = 10 m and the other side, a = 6 cm the diagonal, d is given by the relationship, d² = (a + √(b² - h²))² + h²

10 × h₁ = 30

h₁ = 30/10 = 3

d₁² = (b + √(a² - h₁²))² + h₁² = (10 + √(6² - 3²))² + 3² = 239.92 cm²

d₁ = √(239.92 cm²) = 15.49 cm

The other diagonal can be found from the following relationship;

d₂² = (b - √(a² - h₁²))² + h₁²

d₂² = (10 - √(6² - 3²))² + 3² = 32.08 cm²

d₂ = √(32.08 cm²) = 5.66 cm.

Answer: 85 = 3.75x + 12.25

The restaurant can have 19 loads

Step-by-step explanation:

The 85 accounts for the restaurant's budget.  The 3.75x accounts for the cost of each load.  The 12.25 accounts for the delivery fee.

85 = 3.75x + 12.25

Subtract 12.25

72.75=3.75x

Divide by 3.75

19.4=x

Round down

x = 19

Hope it helps <3

Answer:

19.4

Step-by-step explanation:

3.75x+12.25=85

subtract 12 from both sides, and divide to put the variable alone.

Then you have to get 19.53333333

Round up and its 19.4

Check if it is true

3.75×19.4+12.25=85

Answer:

(-1, -2) last answer

Step-by-step explanation:

x = 1 is a vertical line

Answer:

(-1, -2)

Step-by-step explanation:

This is because the x-coordinate goes 2 units left to the line x = 1 and the y-coordinate remains the same.

Answer:

a > 12

Solutions can be anything over 12

Step-by-step explanation:

Well this one is pretty simple we just add 1 to both sides so the inequality turns into,

a > 12

Answer:

[tex]a>12[/tex]

Step-by-step explanation:

[tex]a-1>11[/tex]

Add [tex]1[/tex] on both sides.

The [tex]a[/tex] variable must be isolated on one side.

[tex]a-1+1>11+1[/tex]

[tex]a>12[/tex]