In one year, a dog's weight increased from 64 to 80 pounds. By what percentege did the dog's weight increase?

Answer:

(4,0)

Step-by-step explanation:

The x intercept is where the line in the function crosses the x axis or the horizontal line

in here we can see that the line crosses the x intercept 4 "lines" from the origin so we can say the origin is (4,0)

Remember when doing points ( #,#) the first number is the x position which in this scenario is 4 and the second number is the y position and in this case it's 0

The calculated length of the segment MN in the triangle is 20

From the question, we have the following parameters that can be used in our computation:

The triangle

The third angle in the triangle is calculated as

Third angle = 180 - 50 - 50

Evaluate

Third angle = 80

The length of the segment MN is then calculated as

MN/sin(50) = 20/sin(50)

This gives

MN = sin(50) * 20/sin(50)

Evaluate

MN = 20

Hence, the length of the segment MN in the triangle is 20

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The time taken to reach the scene is 14 minutes, the correct option is D.

Speed is the rate at which a certain distance is covered in a given period of time, it is represented in m/sec, km/hr, etc.

The distance is 10.5 miles

The speed of driving is 45 miles/ hour

Time period = ?

Let t denotes the time taken to reach

Speed =  Distance / Time

45 = 10.5 / t

t = 10.5/45 = 0.233 hours

t = 0.233 *60 = 14 minutes

Therefore, the time taken to reach the scene is 14 minutes, the correct option is D.

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Answer:

y = 3

Step-by-step explanation:

Given that,

TW = VW = 23,

TU = y + 24,

UV = 9y

∆TWU and ∆VWU are congruent by SAS Congruence Theorem.

Therefore:

TU = UV

y + 24 = 9y (substitution)

Subtract y from each side

24 = 9y - y

24 = 8y

Divide both sides by 8

24/8 = 8y/8

3 = y

y = 3

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

Answer:

A. 1.8 ×\(10^{30}\) Kg

B i. 3.0 × \(10^{17}\) seconds

  ii. 9.6 × \(10^{9}\) years

C. After 9.2 × \(10^{9}\) (9.2 billion) years

Step-by-step explanation:

Given that the mass of the Sun = 2× \(10^{30}\) Kg.

Mass of hydrogen when Sun was formed = 76% of 2× \(10^{30}\) Kg

                            = \(\frac{76}{100}\)  ×2× \(10^{30}\) Kg

                           = 1.52 × \(10^{30}\) Kg

Mass of hydrogen available for fusion = 12% of 1.52 × \(10^{30}\) Kg

                           = \(\frac{12}{100}\) × 1.52 × \(10^{30}\) Kg

                           = 1.824 ×\(10^{30}\) Kg

A. Total mass of hydrogen available for fusion over the lifetime of the sun is 1.8 ×\(10^{30}\) Kg.

B. Given that the Sun fuses 6 × \(10^{11}\) Kg of hydrogen each second.

i. The Sun's initial hydrogen would last;

                                     \(\frac{1.8*10^{30} }{6*10^{11} }\)

                                 = 3.04 × \(10^{17}\) seconds

The Sun's hydrogen would last 3.0 × \(10^{17}\) seconds

ii. Since there are 31536000 seconds in a year, then;

The Sun's initial hydrogen would last;

                                     \(\frac{3.04*10^{17} }{31536000}\)

                                 = 9.640 × \(10^{9}\) years

The Sun's hydrogen would last 9.6 × \(10^{9}\) years.

C. Given that our solar system is now about 4.6 × \(10^{9}\) years, then;

                               \(\frac{9.6*10^{9} }{4.6*10^{9} }\)

                             = 2.09

So that;   2 × 4.6 × \(10^{9}\) = 9.2 × \(10^{9}\) years

Therefore, we need to worry about the Sun running out of hydrogen for fusion after 9.2 × \(10^{9}\) years.

Part(A): The total mass of hydrogen available 9.6 billion years.

Part(B): The total time is 5.10 billion years.

Part(D): The hydrogen will last \(5.04\times 10^9 \ years\)

Our sun is the largest object in our solar system. The mass of the sun is approximately \(1.988\times 1030\) kilograms

Part(A):

Given that,

The total mass of the Sun =\(2\times10^{30} kg\)

Mass of hydrogen in Sun =  \(2\times10^{30} \times0.76\ kg\)

The mass of hydrogen ever available for fusion is,

\(2\times10^{30} \times 0.76 \times 0.12 kg = 1.824\times 10^{29}\)

Mass of hydrogen fuses each second = 600 billion kg/second.

Time hydrogen will last in seconds=\(1.824\times 10^{29}seconds.\)

\(= 0.00304\times 10^{29 }= 3.04\times 10^{17}.\)

Time hydrogen will last in seconds =\(1 year = 31,536,000 seconds.\)

\(31,536,000 x = 3.04\times 10^{17} = 9.6 \ billion \ years.\)

(B) Present age of sun = \(9.6-4.5 \ billion \ years\)

The time when we need to worry about Sun running out of hydrogen for fusion = 5.10 billion years.

(D) The solar system is 4.6 billion years old that is \(4.6\times 10^9\ years\)

And in part (B) we have calculated that hydrogen will last \(9.64\times 10^9\) then,

\(9.64\times 10^9-4.6\times 10^9=5.04\times 10^9\)

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The minimum sample size required to ensure a margin of error of no more than 4 percentage points is 294.

A simple random sample of tenants can be used to estimate the proportion of tenants who have pets in the complex. To ensure that the margin of error is no more than 4 percentage points, the sample size needs to be calculated. The formula to calculate the sample size given a margin of error of 4 percentage points and a confidence level of 90% is:

Sample Size = (1.645/0.04)2

Plugging in the values, the sample size comes out to be 294.

Therefore, the minimum sample size required to ensure a margin of error of no more than 4 percentage points is 294.

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The two triangles are congruent since they have equal angles and equal sides.

Congruent triangles are two triangles that have exactly the same size and shape.

In other words we can say that they have the same angles and the same side lengths.

So when two triangles are congruent, all of their corresponding parts including the angles and sides are equal.

For the given triangles

The missing value of angle C = 180 - (18 + 110) = 52⁰

The missing value of angle F = 180 - (18 + 52) = 110⁰

So it is obvious that the two triangles are congruent since they have equal angles and equal sides.

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The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Answer:

The country's debt is $ 48,543.68 per person.

Step-by-step explanation:

Given that at the end of a year, the gross debt of a country stood at about $ 15 trillion, to determine this amount in dollars per person, assuming that the population of the country is about 309 million, the following calculation must be done:

15 trillion = 15,000,000,000,000

15,000,000,000,000 / 309,000,000 = X

15,000,000 / 309 = X

48,543.68 = X

Therefore, the country's debt is $ 48,543.68 per person.

Answer:

Area = 324ft²

Perimeter = 72ft

Step-by-step explanation:

Area of a square = length²

Area of a square = (18ft)² = 324ft²

Perimeter of a square = 4*length

Perimeter of a square = 4ft*18 = 72ft

Answer:D.CENTROID

Step-by-step explanation: THE ONLY CORRECT ANSWER IS CENTROID

Answer:

a

Step-by-step explanation:

Answer:

3/13

Step-by-step explanation:

It is: 6/26 = 3/13 as a fraction in its simplest form

Answer: your answer would be 3/13

Step-by-step explanation: 6:26 (divide each number by 2 and you get 3:13)

BRAINLIEST PLS

The height that a ladder reaches is determined by the length of the ladder and its distance from the base of the building.

The ladder can be thought of as the hypotenuse of a right triangle, with the height that the ladder reaches up the building being one of the other sides and the distance of the ladder from the building being the other side.

So, the formula for the height that a ladder reaches can be expressed as:

Height =

Where "Ladder Length" is the length of the ladder, and "Distance from Base" is the distance of the ladder from the building.

Using this formula, we can calculate the height that the 14-foot ladder reaches when set up 4 feet from the base of the building:

Height = (\(14^2 - 4^2)^0.5\)

= \((196 - 16)^0.5\)

= \(180^0.5\)

= 13.416407864

Rounding to the nearest tenth of a foot, the height the ladder reaches is 13.4 feet.

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Answer: n⁰ = 70⁰

Ok done. Thank to me :>

The new curriculum significantly affects the earning potential.

According to the question, Eight kids were chosen at random to take part in a brand-new educational program that emphasizes both academics and mental health education between middle school and high school. The average annual income is $29432. The standard deviation is unknown.

The probability level is given to be 5%.

When the p-value is less than or equal to your significance level, reject the null hypothesis. The alternative theory, which contends that the effect is widespread, is supported by your sample data.

A probability level of 0.05 means that the new curriculum significantly affects the earning potential.

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Answer:

\(\Large \boxed{0.40 < 0.430 < 0.480 < 0.489}\)

Step-by-step explanation:

First you have to see the decimal places.

Than the number of digits there is.

So this is how we make it from least to greatest!

Since there is 3 numbers after the decimals in almost all of them...

Than let’s make ‘0.40’ into 3 numbers after the decimal too.

I am sure you have heard that if you add a ‘0’ to a decimal nothing will change right?

So let’s make 0.40 into 3 numbers after the decimal just like the other numbers!

Okay so first let’s add a zero to ‘0.40’... which now this turns into ‘0.400’

Now it will be more easier to compare least to greatest!

0.400 is the least, than comes 0.430, & than would be 0.480, & finally the greatest would be 0.489

Therefore the answer is 0.40 < 0.430 < 0.480 < 0.489.

Answer:

5.44

Step-by-step explanation:

1.6*3.4=5.44

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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Answer: -6x(x^4 + 4)

Step-by-step explanation:  factor the -6 out of the problem

Answer:

the answer is 5 \(\frac{1}{4}\) and 4 \(\frac{4}{5}\)

Hope this helped you! :D

And tell me If I am wrong! :D

And if possible, could have brainliest? :D

Step-by-step explanation:

Answer: 512 un³

Step-by-step explanation:

Volume formula for a cube

\(\boxed{\boxed{\bf V= a^3 }}\)

Then :

\(\rm V=a^3=8^3=512 en^3\)

(un- Unit of measurement )

512 units with a 3 on the top right. lol

Answer:

Clean and Bright

Step-by-step explanation:

For soapy suds, you would do 13×12, would would give you only 156 sq inches. However, with Clean and Bright, you would do 9×13×8 since it is three dimensional. This would give you 936 cubic inches, meaning it holds the most detergent.

Answer:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

Step-by-step explanation:

Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.

For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 29.2 g

Biscuit mass = 43.8 g

For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

The length of v to the nearest 10th of an inch is 2.0 inches.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Law of Sines,

Which states that for any triangle ABC:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.

Now,

a = UV = u = 3.4 inches

A = ∠TUV

  = 180° - m∠U - m∠V

  = 180° - 144° - 35°

  = 1°

B = ∠UTV

   = m∠U

   = 144°

C = ∠TVU

  = m∠V

  = 35°

Using the Law of Sines,

v/sin(C) = u/sin(B)

Substituting in the values.

v/sin(35°) = 3.4/sin(144°)

Solving for v.

v = (3.4 × sin(35°)) / sin(144°)

v = 1.97 inches

Therefore,

The length of v to the nearest 10th of an inch is 2.0 inches.

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No, I don't agree with Sundeep. The mixture wont simply add up

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

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