A triangle has vertices at (–4, 0), (2, 8), and (8, 0). What are the coordinates of the centroid, circumcenter, and orthocenter? If needed, write mixed numbers with a single space between the whole number and the fractional parts.

Answer:

4 4/10

Step-by-step explanation:

Well, 32/10 would by 3 2/10 when you divide it, I think. So 4 4/10 is greater.

Fractions may be equal or unequal.

\(\mathbf{4\frac{4}{10}}\) is greater than \(\mathbf{\frac{32}{10}}\)

The fractions are given as:

\(\mathbf{F_1 = 4\frac{4}{10}}\)

\(\mathbf{F_2 = \frac{32}{10}}\)

Express the fractions as improper fractions

\(\mathbf{F_1 = \frac{44}{10}}\)

Both fractions have the same denominator.

So, the fraction with a greater numerator is greater.

By comparison: 44 is greater than 32

i.e. 44 > 32

Hence, \(\mathbf{4\frac{4}{10}}\) is greater than \(\mathbf{\frac{32}{10}}\)

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Vertically compressing the exponential parent function f(x) = 2^x by a factor of 3 means multiplying every function value by 1/3, resulting in a steeper and narrower curve closer to the x-axis.

If we vertically compress the exponential parent function f(x) = 2^x by a factor of 3, it means that every point on the graph of the function will be compressed closer to the x-axis. In other words, the function values will be multiplied by 1/3.

Let's consider a point on the original exponential function, (x, f(x)). After the vertical compression, this point will have the coordinates (x, (1/3)f(x)). For example, if f(x) = 8 for some x, after compression, the corresponding point will be (x, (1/3)(8)) = (x, 8/3).

This vertical compression affects all points on the graph uniformly, resulting in a steeper and narrower curve compared to the original exponential function.

The y-values of the compressed function will be one-third of the y-values of the original function for each x-value. Therefore, the graph will be squeezed vertically, with the y-values closer to the x-axis.

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Answer:

x= -6

Step-by-step explanation:

Answer:

A = 12 cm^2

Step-by-step explanation:

A = h*b/2

A = (6cm)(4cm/2)

A = 12 cm^2

Leave a like and mark brainliest if this helped

Answer:

L = 3.5 in/sec  * 3 min  * 60 sec /min = 630 in

(L = S * T   where T is in sec and S is inches / sec)

The equation \(x^2 + 5x + 8 = 0\) has two complex solutions that are conjugates of each other, indicating that there are no real solutions.

To determine the character of the solutions without solving the equation, we can examine the discriminant of the quadratic equation. The discriminant is the expression \(b^2 - 4ac\), where a, b, and c are the coefficients of the quadratic equation \(ax^2 + bx + c = 0\).

In this case, the coefficients are a = 1, b = 5, and c = 8. Computing the discriminant, we have:

\(Discriminant = b^2 - 4ac\\= (5)^2 - 4(1)(8)\\= 25 - 32\\= -7\)

Since the discriminant is negative (-7), the quadratic equation has two complex solutions. Furthermore, since the discriminant is negative and not a perfect square, the two complex solutions are conjugates of each other.

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Answer:

117

Step-by-step explanation:

Given the expression

r³ - 2s ← substitute given values into the expression

= 5³ - 2(4)

= 125 - 8

= 117

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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Answer:

2/8 which simplifies to 0.111111

Step-by-step explanation:

Answer:

0 is the answer same as 0+0=0

hope this helps

have a good day :

Step-by-step explanation:

The 90% confident that the true population mean cost per night of a hotel room in New York City falls between $254.25 and $291.75.

To find the 90% certainty span gauge of the populace mean expense each evening of a lodging in New York City, we can utilize the recipe:

CI = x ± z*(σ/√n)

Where x is the example mean, σ is the example standard deviation, n is the example size, and z is the z-score related with the ideal certainty level. For a 90% certainty stretch, the z-score is 1.645.

Subbing the given qualities, we get:

CI = $273 ± 1.645 * ($65/√45)

Addressing this condition, we get the certainty stretch gauge to be somewhere in the range of $254.25 and $291.75. The lower worth of the certainty stretch is $254.25. This implies that we can be 90% certain that the genuine populace mean expense each evening of a lodging in New York City falls somewhere in the range of $254.25 and $291.75.

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Answer:

value of r will be 126 or numbers lower than 126

Step-by-step explanation:

sorry if im wrong

Answer:

25%

Step-by-step explanation:

The (not mentioned in the question) set is: 6 7 8 9.

There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:

P(9) = favorable outcome/total outcomes

P(9) = 1/4 = 0.25 or 0.25*100 = 25%

2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer:

The answer will be D.

Answer:

by memories the formula and practice questions

Answer:

Break it down

Take it slow

Step-by-step explanation:

By taking apart the information given, you can decide what information is useful and what isn't.

Don't rush this process. If you try and rush through math, you will likely make a mistake.

Answer: A

Step-by-step explanation:

A is the only correct answer since she wants to spend no more than $200.00 while getting all the training she wants.

The other choices have " > " in their inequalities and thus proven wrong.

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

( A )-  We use the inclusion-exclusion principle to find the total number of integers in the set that are divisible by at least one of 2, 3, 5, or 7. The result is 104.

( B-) There are 48 primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7.

(C-) n must be greater than 120, which means that all composite numbers in the set 1, 2,..., 120 that were not counted in part (a) must be divisible by at least one of 2, 3, 5, or 7.

(a) The number of integers in the set 1, 2,..., 120 that are divisible by at least one of 2, 3, 5, and 7 can be found using the principle of inclusion-exclusion. We first find the number of integers that are divisible by each individual prime factor:

Number of integers divisible by 2: 60

Number of integers divisible by 3: 40

Number of integers divisible by 5: 24

Number of integers divisible by 7: 17

Next, we find the number of integers that are divisible by each pair of prime factors:

Number of integers divisible by 2 and 3: 20

Number of integers divisible by 2 and 5: 12

Number of integers divisible by 2 and 7: 8

Number of integers divisible by 3 and 5: 8

Number of integers divisible by 3 and 7: 5

Number of integers divisible by 5 and 7: 3

We continue in this way to find the number of integers that are divisible by three prime factors, four prime factors, and so on. Finally, we use the inclusion-exclusion principle to find the total number of integers in the set that are divisible by at least one of 2, 3, 5, or 7. The result is 104.

(b) To find the number of primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7, we need to exclude all composite numbers. We can do this by subtracting the number of integers that are divisible by two or more of 2, 3, 5, and 7 from the total number of integers found in part (a):

Number of integers divisible by 2 and 3: 20

Number of integers divisible by 2 and 5: 12

Number of integers divisible by 2 and 7: 8

Number of integers divisible by 3 and 5: 8

Number of integers divisible by 3 and 7: 5

Number of integers divisible by 5 and 7: 3

Number of integers divisible by 2, 3, and 5: 4

Number of integers divisible by 2, 3, and 7: 2

Number of integers divisible by 2, 5, and 7: 2

Number of integers divisible by 3, 5, and 7: 1

Therefore, there are 48 primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7.

(c) Of the integers in 1, 2,..., 120 that were not counted in part (a), the only one that is not prime is 1. To see why all of the others are primes, consider any composite number n that is not divisible by 2, 3, 5, or 7. By the fundamental theorem of arithmetic, n can be written as a product of primes, none of which are 2, 3, 5, or 7. But since n is composite, it must have at least one prime factor other than 2, 3, 5, or 7. Therefore, n must be greater than 120, which means that all composite numbers in the set 1, 2,..., 120 that were not counted in part (a) must be divisible by at least one of 2, 3, 5, or 7.

(d) Using the results from parts (b) and (c), we can find the total number

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Answer:

B.)

Step-by-step explanation:

A rational number is a number with no repeating decimals or decimals that go on “forever” like pi.  An expample of a rational number is 2 where 2.3333333... is not a rational number.  Pi isn’t a rational number either since forth there is no known end to that.  

So, when solved:

A.) = 1.58113883...  (irrational)

B.) = -8 (rational)

C.) = 8.94427191... (irrational)

D.) = 3.794733192... (irrational)

I hope you see the pattern.  Hope this helps!

Answer:

.

Step-by-step explanation:

......

.

................. .... . .

Answer:

p = -2

q = -3

Step-by-step explanation:

Let us get the equation of the two graphs

General equation form is;

y = mx + b

m is slope and b is the y-intercept

For the first one;

y intercept is 1

So the equation is;

y = mx + 1

The x-intercept is -2

the value of y at the x-intercept is 0

0 = -2m + 1

1 = 2m

m = 1/2

so;

1/2 * p

p/2

q added to y-intercept;

q + 1

Let us get the equation of the second plot

y-intercept is -2

Equation is;

y = mx - 2

We can get slope using x-intercept

x-intercept is -2

0 = -2m - 2

2m = -2

m = -1

So;

p/2 = -1

p = 2 * -1 = -2

For the value of q;

q + 1 = -2

q = -2-1 = -3

Section 14 makes about 40 Acres.

640 acres make up a square mile.

Given are the southwest quarter, the northern half, and the eastern half.

Consider that 2x2x4=16.

640 divided by 16 equals 40 acres.

40 acres make up Section 14.

How do you estimate the value per acre?

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Answer:

They would need 24 pints of chocolate to make 6 boxes of candy

The 95% confidence interval for the difference in population proportions of students who were consuming protein-rich food in 2000 and 2010 is (-0.111, -0.029).

What is confidence interval?

In statistics a confidence interval, usually refers to the probability that a population parameter may fall between a set of values for a certain proportion of times. The often use confidence intervals that contain either 95% or 99% of expected observations.

For constructing a 95% confidence interval for the difference in population proportions of students who were consuming protein-rich food in 2000 and 2010, can be determined by using the formula:

\(( p_{1} -p_{2} ) + z^{*} \sqrt{\frac{p_{1}(1-p_{1} ) }{n_{1} } +\frac{p_{2}(1-p_{2}) }{n_{2} }\)

and \(( p_{1} -p_{2} ) - z^{*} \sqrt{\frac{p_{1}(1-p_{1} ) }{n_{1} } +\frac{p_{2}(1-p_{2}) }{n_{2} }\)

where:

p₁ and p₂ implies that the sample proportions of students consuming protein-rich food in 2000 and 2010, respectively.

n₁ and n₂ = the sample sizes of the two years.

\(z^{*}\) is the critical value of the standard normal distribution corresponding to a 95% confidence level, which is  equals to 1.96.

Using the given data, we have:

p₁ = 0.75, n₁ = 700

p₂ = 0.82, n₂ = 850

Substituting these values into two formulae, we get:

\(( 0.75 -0.82) + 1.96\sqrt{\frac{0.75(1-0.75 ) }{700 } +\frac{0.82(1-0.82) }{850 }\)

\(( 0.75 -0.82) - 1.96\sqrt{\frac{0.75(1-0.75 ) }{700 } +\frac{0.82(1-0.82) }{850 }\)

Solving the above two expressions, we get:

-0.07 ± 0.041

Hence, rounded to three decimal places, the lower bound is -0.111 and the upper bound is -0.029.

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There are 6 pennies in a total of 150 coins.

Given that,

Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.

and also,

For every penny, there are five dime.

Total = 150 coins

Out of it, 90 are quarters so the remaining coins are 60

It is said that,

In that 60 coins 40% are nickels which means

40% of 60 is 24

So remaining coins are 36 (by subtracting 24 from 60)

It is said that there are 5 dimes for every penny which means

Using Algebra,

x + 5x = 36

6x= 36

x= 6

Therefore, there are 6 pennies in a total of 150 coins.

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Answer:

5.7594087

Step-by-step explanation:

0.03x8888^14

Answer:

3.8*10^2J/(g°C),

Step-by-step explanation:

Heat Energy = mcΔt

23.6 = 5c(35-22.6)

23.6 = 5c(12.4)

23.6 = 62c

c = 23.6/62

c = 0.3806

c = 3.8*10^2J/(g°C),gold

Hence the specific heat of the metal is 3.8*10^2J/(g°C),

Answer:

19. 5 feets

Step-by-step explanation:

Shadow of tree = 26 feets

Height of flower = 3 feets

Shadow of flower = 4 feets

Height of sun Innthe sky:

Shadow of flower / height of flower

= 4/3 = 1.333333

Height of tree:

Shadow of tree / height of sun

26 feets / 1.33333

= 19.5 feets

Hence, height of tree = 19.5 feets

Total parrot=40

Caught=8

Fraction

#2

Out of 40 parrots 8 are ringed

Parrots per one ringed=40/8=5

Total ringed before=32

Total no of parrots

There are 160 parrots

Answer:

\(\sf 1) \quad \dfrac{1}{5}\)

\(\sf 2) \quad 160\:parrots\)

Step-by-step explanation:

Given information:

Therefore, the fraction of ringed parrots from the second catch is:

\(\implies \sf \dfrac{ringed\:parrots}{total\:caught\:parrots}= \dfrac{8}{40}=\dfrac{1 \times 8}{5 \times 8}=\dfrac{1}{5}\)

If she caught and ringed 32 parrots in her first catch, but only 1/5 of the parrots caught in the second catch were ringed, then 32 parrots represents 1/5 of the total number of parrots.  To find the total number of parrots, simply multiply the total number of ringed parrots by 5:

\(\implies \sf \textsf{Total number of parrots}=32 \times 5 = 160\)