Many newspapers are made from 100% wood. The wood
used to make this paper can come from pine trees, which are
typically about 60 feet tall and have diameters of about 1 foot.
However, only about half of the volume of each tree is turned
into paper.

Answer:

Sum of angles in a triangle add up to 180°.

x = 180 - 76 - 44 = 60°

Answer:

C) Complementary, x = 12

Step-by-step explanation:

This angles are complementary because they add up to 90 (because of the square in the corner)

4x + 1 + 4x - 7 = 90

8x - 6 = 90

8x = 90 + 6

8x = 96

x = 12

Answer:

complementary; x=12

Step-by-step explanation:

two angles who form a right angle (90°) are complementary. so,

90° would equal those two angle measures added together. make an equation then simplify.

90 = (4x+1) +(4x-7)

90 = 8x - 6

+6 +6

96 = 8x

÷8 ÷8

x = 12

Yes, it would be possible to use 14C age dating to estimate the age of a dinosaur bone.

Explanation:14C dating is a method used to determine the age of once-living organisms based on the radioactive decay of carbon-14 in their tissues. However, 14C dating is only effective for samples that are less than 50,000 years old. Therefore, it is not possible to use 14C dating to directly date dinosaur bones as they are much older than 50,000 years, and all the carbon-14 would have already decayed.

However, indirect dating methods such as radiometric dating can be used to estimate the age of the rocks in which the dinosaur bones were found. This method is based on the radioactive decay of isotopes in the rocks and can be used to determine the age of the rocks to within a few million years. By association, the age of the dinosaur bones can also be estimated, providing an indirect method of dating them. Therefore, while 14C dating is not useful for directly dating dinosaur bones, it can be used indirectly to estimate their age.

Know more about 14C dating here:

https://brainly.com/question/28339237

#SPJ11

Answer:

the answer is unfair and are not the same

Step-by-step explanation:

I got this right on my test  

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

know more about probability click here;

https://brainly.com/question/30060906

#SPJ4

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Answer:

B

Step-by-step explanation:

Ku's since it has the highest score with +12

Answer:

so x=3

Step-by-step explanation:

-28=7(x-7)

opening the brackets by multiplying

-28=7x-49

adding 49 on both sides

-28+49=7x-49+49

21=7x

dividing 7 on both sides

21/7=7x/7

x=3

i hope this will help you :)

Answer:

-28=7(x-7)

First expand the terms on the right side

That is

-28 = 7x - 49

Group like terms

7x = -28 + 49

7x = 21

Divide both sides by 7

7x/7 = 21 /7

x = 3

Hope this helps

Hello!

So, we are given the following to solve.

Solve for v.

\(\frac{v}{8}-3.1=-15.9\)

To solve for v, we to do as follows:

1. Add 3.1 to both sides.

2. Simplify.

3. Multiply both sides by 8.

4. Simplify.

Hope this helps!

It is False that by adding the number of inner loops , we get the total number of iterations.

A loop is defined as a segment of code that executes multiple times. Iteration refers to the process in which the code segment is executed once. One iteration refers to 1-time execution of a loop. A loop can undergo many iterations.

There are 3 types of iteration: tail-recursion, while loops, and for loops. We will use the task of reversing a list as an example to illustrate how different forms of iteration are related to each other and to recursion. A recursive implementation of reverse is given below.

To learn more about iteration of loops

brainly.com/question/14266710

#SPJ4

The total number of miles Mel drives the buses in one year is 11,622.

Solution:-

= 39 x 298 = 11,622

The distance can also be calculated in miles if you know the speed and time it will take to travel a certain distance. Just multiply the speed by the time. If the car is going 64 mph and he drives for 2 hours, he has traveled 130 miles. A conventional car can drive him 200,000 miles. Some well-maintained vehicles have over 300,000 total miles.

Currently, the average age of a US car is about 12 years. Choosing a well-made make and model can extend the life of your vehicle. A used car with a low annual average can be considered to have good mileage. Simply divide the mileage by the age of the car to get an annual average.

Learn more about The total number of miles here:-https://brainly.com/question/10439102

#SPJ1

Answer:

0.143 tonnes

Step-by-step explanation:

1000 / 7 = 142.857143

= 143 kg

= 0.143t

The estimate for the mean time required to graduate for all college graduates is 6.18 years, and the 95% confidence interval for the mean time required to graduate is (6.12, 6.24) years.

Given that the sample mean is 6.18 years, we can use this as our point estimate.

To find the 95% confidence interval for the mean time required to graduate, we can use the formula:

Confidence interval = (sample mean) ± (critical value) * (standard deviation / √(sample size))

First, we need to determine the critical value associated with a 95% confidence level. Since the sample size is large (4500), we can assume a normal distribution and use the Z-distribution. The critical value for a 95% confidence level is approximately 1.96.

Plugging in the values into the formula, we have:

Confidence interval = 6.18 ± 1.96 * (1.65 / √(4500))

Calculating the confidence interval:

Confidence interval = 6.18 ± 1.96 * (1.65 / √(4500))

Confidence interval = 6.18 ± 0.0577

Rounding to two decimal places:

Confidence interval = (6.12, 6.24)

Therefore, the estimate for the mean time required to graduate for all college graduates is 6.18 years, and the 95% confidence interval for the mean time required to graduate is (6.12, 6.24) years.

Learn more about mean here:

https://brainly.com/question/1136789

#SPJ4

Answer:

Look below

Step-by-step explanation:

Chart

                      Job      No job     Total

Lisence           198        142         340

No lisence       18          42           60

Total                216        184         400

60/400

simplified = 15/100

Answer:

it's 80 and 63 because it is in the middle.

Hope this helps!!!

It can be inferred that there are at least 3 different substances in the mixture

What is boiling point ?

Boiling point is the temperature at which the vapor pressure of a liquid equals the atmospheric pressure above it, causing the liquid to change phase and become a gas (i.e., boil). It is a physical property of a substance that depends on factors such as intermolecular forces, molecular weight, and atmospheric pressure. The boiling point is often used to identify and characterize substances, as it can provide information about their purity and chemical composition.

According to the question:
Based on the boiling point curve, it can be inferred that there are at least 3 different substances in the mixture. This is because there are 3 distinct plateau regions (A, B, and C) where the temperature remains constant while the mixture boils, indicating that each plateau corresponds to a different substance in the mixture.

To know more about boiling point visit:
https://brainly.com/question/14771622
#SPJ1

Time required to walk to school is,  t=20 mins

Since, Andre takes 80% of time required to walk to school. Which means

Time taken by Andre = 80% of 20 minutes

t-80/100x20

t=16 minutes

Andre takes 16 minutes to walk to school.

p.s you can be rude and take the points to my question idc Imma be nice and help you

The inequality that represents the given condition is "p > 12".

Let p be the amount of cheese produced in kg.

Then, the amount of yogurt produced is (p + 24) kg (since it is 24 kg more than cheese). And the amount of ice cream produced is 3p kg (since it is 3 times as much as cheese).

Now, we need to find the possible values of p that satisfy the condition "the dairy farm produced more kilograms of ice cream than yogurt last week." In other words, we need to compare the amount of ice cream produced (3p) with the amount of yogurt produced (p + 24) and ensure that the amount of ice cream is greater.

So, we can write the following inequality:

3p > p + 24

Simplifying this inequality, we get:

2p > 24

Dividing both sides by 2, we get:

p > 12

Therefore, the possible values of p that satisfy the given condition are all values of p greater than 12.

In summary, the inequality that represents the given condition is "p > 12".

To know more about inequality follow

https://brainly.com/question/30980668

#SPJ1

Answer:

2125 ft/min

33,000 ft

y = -2125x + 33,000

Step-by-step explanation:

A. -2125 feet per minute. You get this number when you divide 17,000 by 8 (rise over run). You could also use the formula y2-y/x2-x1 with the points (0, 33,000) and (8, 17,000).

B. 33,000 feet is the height of the plane before it starts descending, so it must be the starting value.

C. Plug in the values you got for A and B into the slope formula y = mx + b

y = -2125x + 33,000

Answer:

+3, 0

Step-by-step explanation:

y-intercept for f(x) is when x = 0, so it is +1, 0

y-intercept for g(x) is when x = 0, so it is +3, 0

y-intercept for h(x) is when x = 0, so it is -2, 0

The y-intercept of a function is the point where x = 0.

The ordered pair that represents the greatest y-intercept is (0,3)

The functions are given as:

\(\mathbf{f(x) = |x - 1| + 2}\)

\(\mathbf{g(x) = (x + 3)}\)

\(\mathbf{h(x) = (x + 1) - 3}\)

Set x = 0, and solve the functions

\(\mathbf{f(x) = |x - 1| + 2}\)

Substitute 0 for x

\(\mathbf{f(0) = |0 - 1| + 2}\)

\(\mathbf{f(0) = |- 1| + 2}\)

Remove absolute brackets

\(\mathbf{f(0) = 1 + 2}\)

\(\mathbf{f(0) = 3}\)

\(\mathbf{g(x) = (x + 3)}\)

Substitute 0 for x

\(\mathbf{g(0) = (0 + 3)}\)

\(\mathbf{g(0) = 3}\)

\(\mathbf{h(x) = (x + 1) - 3}\)

Substitute 0 for x

\(\mathbf{h(0) = (0 + 1) - 3}\)

\(\mathbf{h(0) = 1 - 3}\)

\(\mathbf{h(0) = - 2}\)

Hence, the ordered pair that represents the greatest y-intercept is (0,3)

Read more about ordered pairs at:

https://brainly.com/question/3309631

Answer:

Part A- Y=18%x

Part B- After four years the price will be 10,850.923 or $10,850.92

Step-by-step explanation:

Depending on how many years the price will go down by 18%.

Answer: x=5

Step-by-step explanation:

hope this answer helps

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

Learn more about polygons here:

https://brainly.com/question/23846997

#SPJ11

Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

Let:

Wi = Initial weight

Wf = Final weight

x = amount of mass the substance lost

Therefore:

solve for x:

The missing lengths of each of the given right angle triangle are;

1) x = 6.7 cm

2) x = 2.1 cm

3) AC = 4.7 cm

Pythagoras theorem works on only right angle triangles. If the adjacent side is a, the opposite side is b and the hypotenuse is c, then by pythagoras theorem we know that;

c² = a² + b²

1) We are given the right angle triangle with;

Opposite side = 3.7 cm

Adjacent side = 5.6 cm

Hypotenuse = x cm

Thus;

x = √(3.7² + 5.6²)

x = 6.7 cm

2) We are given the right angle triangle with;

Opposite side = x cm

Adjacent side = 7.2 cm

Hypotenuse = 7.5 cm

Thus;

x = √(7.5² - 7.2²)

x = 2.1 cm

3) We are given the right angle triangle with;

Opposite side = 7.2 cm

Adjacent side = AC cm

Hypotenuse = 8.6 cm

Thus;

AC = √(8.6² - 7.2²)

AC = 4.7 cm

Read more about Pythagoras Theorem at; https://brainly.com/question/231802

#SPJ1

If X is a continuous exponentially distributed random variable, with E[X]=2 , then  E[Y²] = 32 .

The Random Variable X is continuous exponentially distributed , and

E[x] = 2 , which means 1/λ = 2 ;

So , λ = 1/2 ,

The variance V(x) = 1/λ² = 4 ,

Let Y = 2x ,

So , E[Y] = E[2x] = 2E[x]

= 2×2

⇒ E[x] = 4 ,

Now , we have V[Y] = Var(2X) = 4×V(x) ,'

= 4×4 = 16 ,

Then , E[Y²] = Var[Y] + (E[Y])²   ...because V[Y] = E[Y²] - (E[Y])² ;

= 16 + 42

= 32 .

Therefore , the value of E[Y²] is 32 .

Learn more about Random Variable here

https://brainly.com/question/30579294

#SPJ4

The given question is incomplete , the complete question is

Let X be a continuous exponentially distributed random variable, with E[X]=2. Let Y = 2x. What is E[Y²]?

Answer:

Anita needs 12/5 or 2 2/5 of fabric to make 4 blankets

Step-by-step explanation:

the equation is 3/5 x 4 so how I did it was 3x4=12. 5 stays so it's 12/5 and to convert it's 12/5 which is 2 with 2/5 left over.

a bad explanation but the best I got for ya.

:(

The probability that the two given players play each other at any point in the tournament is 1/105.

It is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain.

In probability theory, we use probability to quantify the uncertainty associated with a particular event or outcome. For example, if we toss a fair coin, the probability of getting heads is 0.5, because there are two possible outcomes (heads or tails) and each outcome has an equal chance of occurring.

Let's assume the two given players are player A and player B.

In the first round, player A has to be paired with one of the 15 remaining players. The probability of this happening is 1/15.

Assuming player A wins their first match, they will be paired with one of the 7 remaining players in the second round. The probability of player B being matched up with player A at this point is 1/7.

So the probability of player A and player B playing each other in the tournament is the product of the probabilities of these two events occurring:

P(A and B play each other) = P(A and B are paired in the first round) × P(B is paired with A in the second round, assuming A wins the first round)

= (1/15) × (1/7)

= 1/105

Therefore, the probability that the two given players play each other at any point in the tournament is 1/105.

To know more about outcomes visit:

https://brainly.com/question/19916581

#SPJ1

To prove that τ and σ are multiplicative, we need to show that if m and n are relatively prime, then τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n).

To prove τ(mn) = τ(m)τ(n), we can start by considering the prime factorization of m and n. Let's say m = p₁^a₁ * p₂^a₂ * ... * pₖ^aₖ and n = q₁^b₁ * q₂^b₂ * ... * qₙ^bₙ, where p₁, p₂, ..., pₖ and q₁, q₂, ..., qₙ are distinct prime numbers. Since m and n are relatively prime, none of their prime factors overlap.

Now, the divisors of mn are the numbers of the form p₁^x₁ * p₂^x₂ * ... * pₖ^xₖ * q₁^y₁ * q₂^y₂ * ... * qₙ^yₙ, where 0 ≤ xᵢ ≤ aᵢ and 0 ≤ yⱼ ≤ bⱼ. Thus, the number of divisors of mn, τ(mn), can be calculated by multiplying the number of divisors of m, τ(m), with the number of divisors of n, τ(n). Hence, τ(mn) = τ(m)τ(n).

To prove σ(mn) = σ(m)σ(n), we can again use the prime factorization of m and n. Similar to the previous proof, the sum of divisors of mn, σ(mn), can be calculated by multiplying the sum of divisors of m, σ(m), with the sum of divisors of n, σ(n). Hence, σ(mn) = σ(m)σ(n).

Therefore, we have proved that τ and σ are multiplicative when m and n are relatively prime.

To know more about relatively prime visit:

https://brainly.com/question/4658673

#SPJ11

We have shown that both τ and σ are multiplicative functions, satisfying the properties τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n) for relatively prime numbers m and n.

To prove that τ (the number of positive divisors) and σ (the sum of positive divisors) are multiplicative functions, we need to show that for any two relatively prime numbers, m and n, the following properties hold:

1. τ(mn) = τ(m)τ(n)

2. σ(mn) = σ(m)σ(n)

Let's start with property 1:

1. τ(mn) = τ(m)τ(n)

If m and n are relatively prime, it means that they do not share any prime factors. Therefore, the divisors of mn are formed by taking a divisor of m and a divisor of n. Each divisor of mn can be uniquely expressed as the product of a divisor of m and a divisor of n.

Since the number of divisors of mn is equal to the product of the number of divisors of m and the number of divisors of n, we can conclude that τ(mn) = τ(m)τ(n).

Now let's move on to property 2:

2. σ(mn) = σ(m)σ(n)

Similar to property 1, we can express the sum of divisors of mn as the sum of products, where each product is formed by taking a divisor of m and a divisor of n. Again, since m and n are relatively prime, their divisors are distinct.

Using the distributive property, we can expand the sum of products as the sum of two separate terms: one involving the divisors of m and another involving the divisors of n. The sum of divisors of mn is therefore equal to the product of the sum of divisors of m and the sum of divisors of n.

Hence, we can conclude that σ(mn) = σ(m)σ(n).

Learn more about multiplicative functions

https://brainly.com/question/5873041

#SPJ11

Answer:

Step-by-step explanation:

3. Area = pie r2

A = (22/7) (4)2

= 50.27

4. Circumference = pie d

C = (22/7) (13)

= 40.84