Question 7 I need help on thank you

The annual rate of population growth in the US was about 1.2% in 2015, then the growth factor will be 1.012. The growth factor depends upon annual growth rate.

Growth factor typically refers to a constant multiplier that is used to calculate the growth or decay of a quantity over time. It is given as:

Growth factor = (1 + annual growth rate)

Therefore, the growth factor for the US in 2015 can be calculated as follows:

Growth factor (1+0.012) = 1.012

Therefore, the growth factor for the population of the US in the year 2015 was about 1.012.

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The minimum height is 6ft and length is 12 ft.

Let  \(l\) be side of square base and h be the height.

we know  \(l^{2}\) × h  = 864

We have minimize

\(l^{2}\) + 4 × \(lh\)

=  \(l^{2}\) + 4 × 864/l

diffrentitate and equate to 0

2\(l\) - 4 × 964/ \(l^{2}\)  = 0

\(l\) = \(\sqrt[3]{2 * 864}\) = 12

so h = 6

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the inflation rate is approximately 4.08% (rounded to two decimal places).

To calculate the inflation rate using the exact formula, we can use the equation:

Inflation rate = (1 + nominal rate of return) / (1 + real rate of return) - 1

Given that the nominal rate of return is 8.31% (0.0831) and the real rate of return is 3.65% (0.0365), we can substitute these values into the formula:

Inflation rate = (1 + 0.0831) / (1 + 0.0365) - 1

= 1.0831 / 1.0365 - 1

= 1.0447 - 1

= 0.0447

Converting the decimal to a percentage, the inflation rate is 0.0447 * 100 = 4.47%.

Therefore, the inflation rate is approximately 4.08% (rounded to two decimal places).

It's important to note that inflation is the percentage increase in the general level of prices over a specified period. The inflation rate is typically calculated by comparing the changes in a price index, such as the Consumer Price Index (CPI).

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Answer:

Jenny es la más alejada de su novela, con 6.66/100 por delante de Gabriel, y 8.33/100 por delante de Jessica.

English Translation: "Jenny is furthest through her novel, at 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica."

Step-by-step explanation:

Translation to English: "Jenny is on page 250 of her 375-page novel, Gabriel is on page 243 of the 405 pages of hers, and Jessica is reading page 448 of the 768 pages of hers. Who has done the furthest reading of their novel and what fraction of the novel separates them from the others?"

For the first part of question, where is asks who is farther through their book, calculate percentage, which is calculated from division:

250/375 = 0.66..., or 66.66%

243/405 = 0.6, or 60%

448/768 = 0.5833..., or 58.33%

We can already see that Jenny is furthest through her book, as she is around 6.66% farther than Gabriel and 8.33% farther than Jessica.

But, to answer the second part of the question, we must convert this information to fractions, which can be done by putting the values over 100:

66.66/100, 60/100, 58.33/100.  Now, since they are already in the same denominators, we can easily tell how far they are from one another in fractions: Jenny is 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica.

If I helped, please make this answer brainliest! ;)

Answer:

{-12,12}

Step-by-step explanation:

it looks like that I guess

Answer:

There would be 876 legs.

Step-by-step explanation:

To do it you could first find how many legs there are on one farm. SO you would take the 6 cats in one barrel. Then times it by the 6 kittens each of them have. That's the number of cats. Then times than number by 4 to get the total number of legs in one barrel. Then you add in the two legs of the farmer. Then times that total number by 6 to get all the legs on all six farms.

Answer:

a and d

Step-by-step explanation:

Answer:

A

D

Step-by-step explanation:

The way that I would do this is by plugging in 2 values for x, double it then see what happens

Let's say 2

So when we plug in 2 for x we get

5*2=y

y=10

Then what happens when we double x?

Our new equation would be 10x

*we get this becase 5*2=10*

so we plug in to for y=10x and get y=10*2 which is 20. Our answer doubled and therefore the answer is A

Let's do the same thing for number 2 with the number 10

5/10=.5

Then when the value of x triples our new equation is 5/3x

we use this formula and get 5/(3*10)=5/30=1/6=.1666667

This is equal to dividing it by 3 which means the answer is D

Answer:

None of the following

Step-by-step explanation:

Answer:

Radius duh

Step-by-step explanation:

To solve this problem, we need to find a number that satisfies the given conditions of leaving a remainder of 2 when divided by 3, a remainder of 1 when divided by 5, and a remainder of 6 when divided by 7.

Let's denote the unknown number of horses as "x". According to condition (a), we have the equation x ≡ 2 (mod 3), meaning x leaves a remainder of 2 when divided by 3. Similarly, according to condition (b), we have x ≡ 1 (mod 5), and according to condition (c), we have x ≡ 6 (mod 7). To find a solution that satisfies all three conditions, we can use the Chinese Remainder Theorem. By solving the system of congruences, we can find the smallest positive integer value for x that satisfies all the conditions.

Using the Chinese Remainder Theorem, we can find x ≡ 92 (mod 105). This means that if there were a total of 92 horses, they could be divided equally among 3, 5, and 7 generals with the respective remainders of 2, 1, and 6. Therefore, 92 is the smallest possible number of horses that satisfies all the given conditions.

In summary, the Chinese emperor would need a total of 92 horses in order to divide them equally among his generals according to the given conditions.

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The solutions of Ax=0 in parametric vector​ form:

\(x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)

we have a matrix where A is the row equivalent to that matrix:

\(\left[\begin{array}{cccc}1&3&0&-4\\2&6&0&-8\\\end{array}\right]\)

The given matrix can be written in an Augmented form as:

\(\left[\begin{array}{ccccc}1&3&0&-4&0\\2&6&0&-8&0\\\end{array}\right]\)

Row Reduced Echelon Form can be obtained using the following steps.

Interchanging the rows R₁ and R₂

.\(\left[\begin{array}{ccccc}2&6&0&-8&0\\1&3&0&-4&0\\\end{array}\right]\)

Applying the operation R₂-->2R₂-R₁, to make the second.

\(\left[\begin{array}{ccccc}2&6&0&-8&0\\1&3&0&-4&0\\\end{array}\right]\)  R₂-->2R₂-R₁,

\(\left[\begin{array}{ccccc}2&6&0&-8&0\\0&0&0&0&0\\\end{array}\right]\)

Dividing the first row by 2 to generate 1 at the

\(\left[\begin{array}{ccccc}2&6&0&-8&0\\0&0&0&0&0\\\end{array}\right]\)  R₁--->1/2R₁

\(\left[\begin{array}{ccccc}1&3&0&-4&0\\0&0&0&0&0\\\end{array}\right]\)

From here the following equation can be deducted:

x₁+3x₂-4x₄=0

Making the subject of the equation:

x₁=-3x₂+4x₄

Hence, the Ax=0 parametric vector form’s solutions can be written as:

\(X=\left[\begin{array}{c}-3x_2+4x_4&x_2&x_3&x_4\\\\\end{array}\right] \\\\\\=\left[\begin{array}{c}-3x_1&x_2&0&0\\\\\end{array}\right] +\left[\begin{array}{c}0&0&x_3&0\\\\\end{array}\right] +\left[\begin{array}{c}4x_4&0&0&x_4\\\\\end{array}\right] \\\\\\ =x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)

Numerical Result:

\(x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)

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Answer:

y = - 5x - 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, then

y = - 5x + c ← is the partial equation

To find c substitute (- 4, 4) into the partial equation

4 = 20 + c ⇒ c = 4 - 20 = - 16

y = - 5x - 16 ← equation of line

Answer:

3(3+4n)

Step-by-step explanation:

3x3=9

3x4=12

so, gcf is 3

a) The expected winning probability for a single game defined is: $3.59

b) The standard deviation of winning is: $10.11

a) If the game costs $5 to play, the expected winnings are: - $0.79

If the game costs $5 to play, the standard deviation of winning is $11.33.

Because the projected winning value is negative, the game should not be played with a -$5 playtime charge.

The total number of hearts in a deck is 13.

The probability of drawing three hearts is:

P(drawing 3 Hearts)

13 ÷ 52 × 12 ÷ 51 × 11 ÷ 50 = 0.0129

The probability of selecting three black cards is:

A deck of black cards has 26 cards.

P (drew three black cards):

26 ÷ 52 × 25 ÷ 51 × 24 ÷ 50 = 0.1176

Any other draw probability: P(3 hearts) + P(3 blacks) + P(any other draw) = 1.

858 ÷ 66300 + 7800 ÷ 66300 + P(any other draw) = 1

P(any other draw) = 57642 ÷ 66300

For only one game,

E(X) = Σ[ X × p(X)]

E(X) =Σ[(50 × 858 ÷ 66300) + (25 × 7800 ÷ 66300)+0]

E(X) = $3.588

b) The standard deviation is equal to √Var(X)

Var(X) = Σ[ X² × p(X)] - E(X)

Σ[ X² × p(X)] = Σ[(50² × 858 ÷ 66300) + (25² × 7800 ÷ 66300) + 0] = 105.88235

Var(X) = 105.88235 - 3.588 = 102.29435

Winning standard deviation = √102.29435 = $10.114

If the game cost $5 to play :

The total sum won if and only if:

Three sketched hearts = $50 - $5 = $45

Three blacks are drawn for a total of $25 - $5 = $20.

Any other combination drawn = $0 - $5 = -$5

The distribution is as follows:

E(X) = Σ[ X × p(X)]

E(X) =Σ[(50 × 858 ÷ 66300) + (25 × 7800 ÷ 66300) + (-5 × 57642 ÷ 66300)]

E(X) = - $0.7588

The winning standard deviation is:

The standard deviation is equal to √Var(X)

Var(X) = Σ[ X² × p(X)] - E(X)

Σ[ X²×p(X)] = Σ[(50² × 858 ÷ 66300) + (25² × 7800 ÷ 66300) + (-5² × 57642 ÷ 66300)] = 127.61764

Var(X) = 127.61764 - (-0.7588) = 128.37644

The winning standard deviation is:

Std(X) = √Var(X) = √128.37644 = $11.330

With a game cost of - $5, the predicted winnings for a single game are negative, hence you should avoid playing the game.

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The mean of the new distribution will be 33 after the addition of 3 points to each score.

Here, correct option will be:- b. 33

The mean of a population is a measure of central tendency that provides an average of the data within a data set. In this question, we are given the mean of a population as 30 and are asked to determine the mean of the new distribution after 3 points have been added to each score.

To answer this question, we must recognize that adding 3 points to each score in the population will increase the mean of the population by 3 points.

Therefore, the new mean of the distribution will be 33 i.e option b. This is because the addition of 3 points to each score will increase the total sum of all the scores, which will in turn increase the mean of the population.

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Answer:

75 ft^2

Step-by-step explanation:

Area of trapezoid = 1/2({b1+b}*h)

1/2(25x6) =

150 / 2 =75

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

D

Step-by-step explanation:

Hope this helps! Have a great day!

Answer: B

Step-by-step explanation:

36 square units make up the larger circle's surface area.

We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.

Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.

We know that the area of a circle is given by the formula A = πr^2.

We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:

A = πr^2 => r^2 = 9/π => r = sqrt(9/π)

Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:

A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36

So the area of the larger circle is 36 square units

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The extent to which a sample over or under represents characteristics of the population is known as sampling error.

Sampling error is the difference between the characteristics of a sample and the characteristics of the population from which it is drawn. Sampling error occurs when a sample does not accurately represent a population due to the selection of individuals. It is measured as the difference between a sample statistic and the corresponding population parameter. For example, if a sample of 100 people is taken from a population of 1,000 people, the sample might not accurately reflect the population as a whole due to random selection.

Sampling error is an important consideration in survey research, as it can have an effect on the accuracy of the results. Sampling error can be reduced by using larger sample sizes or by using more representative sampling methods.

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Answer:

We are missing 210

Step-by-step explanation:

3*4 = 12

3*70 =210

3*300=900

We are missing 210

Answer:

3 × 4 = 12

3 × 70 = 210

3 × 300 = 900

So, we are missing 210.

Answer:

12x^3 + 19x^2 + x - 5

Step-by-step explanation:

To solve this, I set up the problem like this:

(3x^2 + x - 1)(4x + 5)

Now, just distribute everything from the first set of ( ) to the second set of ( ). Here's what you should have when you do that:

12x^3 + 15x^2 + 4x^2 + 5x - 4x - 5

Now, you would just combine like terms, which would get you to the final answer.

Hope this helps!

12x³ + 19x² + x -5

Polynomials are expressions that have multiple terms.

Breaking Apart Polynomials

When multiplying by a polynomial, we can break apart one of the polynomials, and multiply by each term individually. This means to multiply 3x² + x - 1 by 4x + 5, we can break apart the binomial into its separate terms. Instead of trying to multiply everything at once, we can multiply the trinomial by 4x and then multiply the trinomial by 5. Finally, add together the 2 products for the final answer.

Multiplying Polynomials

First, let's multiply the trinomial by 4x.

To find the product, multiply each term of the trinomial by 4x, then add them back together.

So, the first product is 12x³ + 4x²- 4x. Next, let's multiply 5(3x² + x - 1) the same way.

This means that the second product is 15x² + 5x - 5. Finally, let's add the 2 products together.

Then, simplify the expression.

This gives us our final answer. The product of 3x² + x - 1 and 4x + 5 is 12x³ + 19x² + x - 5.

Answer:

\(\displaystyle \sin t = - \frac{5}{6}\)

Step-by-step explanation:

Recall that since sine is an odd function:

\(\displaystyle \sin (-\theta) = -\sin \theta\)

Hence:

\(\displaystyle \sin(-t) = -\sin t = \frac{5}{6}\)

Therefore:

\(\displaystyle \sin t = - \frac{5}{6}\)

If f(x)=-3x-5 and g(x)=4x-2, then the value of (f-g)(x) is -7x-3.

The given functions are f(x)=-3x-5 and g(x)=4x-2.

We need to find the value of (f-g)(x)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, (f-g)(x)=f(x)-g(x)=(-3x-5)-(4x-2)

= -3x-5-4x+2 = (-3x-4x)+(-5 + 2)

= -7x-3

Therefore, the value of  (f-g) (x) is -7x-3.

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Answer:

151, 29, 151

Step-by-step explanation:

\(m\angle 2=29^{\circ}\) (vertical angles)

\(m\angle 1=m\angle 3=151^{\circ}\) (linear pair)

Answer:

\(m \angle 1= \boxed{159}\;^{\circ}\\\\m \angle 2= \boxed{21}\;^{\circ}\\\\m \angle 4= \boxed{21}\;^{\circ}\)

Step-by-step explanation:

Angles on a straight line sum to 180°.

⇒ m∠3 + m∠4 = 180°

⇒ 159° + m∠4 = 180°

⇒ m∠4 = 21°

Vertical Angle Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Applying the Vertical Angle Theorem:

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

Eroor: LM² = 23² - 20² - 2(23)(20) cos 119°

Should be LM² = 23² + 20² - 2(23)(20) cos 119°

Lm² = 575.02 is incorrect

LM² = 1375.016 is correct

LM = 24.0 is incorrect

LM = 37 - 1 is correct

Answer: LM = 37 - 1

\(In\ \bigtriangleup KLM\)

\(By\ using\ cosine\ gule:\)

\(LM^2=LK^2+Km^2-2LK\times Km\)

                                      \(\times cos(119\textdegree\)

\(LM^2=23^2+20^2-2\times 23\times 20\times -0.4848\)

\(LM^2=529+400+920\times 0.4848\)

\(LM^2=929+446+016=1375.016\)

\(LM=\sqrt{1375.016}=37.0812=37.1\)

\(Error:LM^2=23^2-20^2-2(23)(20)cos\ 119\textdegree\)

\(Sholeld\ be\ 2M^2=23^2+20^2-2(23)(20)\ cos\ 119\textdegree\)

\(Lm^2=575.02\ is\ incosrect\)

\(LM^2=1375.016\ is\ correct\)

\(LM=24.0\ is\ correct\)

\(Lm=37-1\ is\ correct\)

\(Answer:LM=37-1\)

I hope this helps you

:)

Answer:

4

Step-by-step explanation:

Evaluate f(3) and g(2)

f(3) = 2(3) - 4 = 6 - 4 = 2

g(2) = - 3(2)² + 5(2) = - 3(4) + 10 = - 12 + 10 = - 2

Then

f(3) - g(2) = 2 - (- 2) = 2 + 2 = 4

The integral ∫[1, 5] 3x dx can be expressed as a limit of Riemann sums using right endpoints of each subinterval. To express the integral as a limit of Riemann sums, we divide the interval [1, 5] into n subintervals of equal width Δx.

The right endpoint of each subinterval will be used as the sample point for that subinterval. Let's denote the width of each subinterval as Δx = (5 - 1) / n, and the right endpoints of the subintervals as x_i = 1 + iΔx, where i ranges from 1 to n. The Riemann sum for the integral ∫[1, 5] 3x dx using right endpoints is given by: Σ[1, n] 3x_i Δx. As we take the limit as n approaches infinity, the Riemann sum becomes the integral: lim(n→∞) Σ[1, n] 3x_i Δx. This limit represents the exact value of the integral ∫[1, 5] 3x dx. However, it is important to note that in this question, we are only required to express the integral as a limit of Riemann sums without evaluating the limit.

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Answer:

Hey give it a try but my answer is 1.5 miles

Step-by-step explanation:

Answer:

I believe it is B.

Step-by-step explanation:

Hope this helps

Answer:

102.66666667 feet/ seconds

Step-by-step explanation:

From the question, we are told to convert 70 miles per hour to feet per second.

Step 1

1 mile = 5280 feet

70 miles = x feet

Cross Multiply

1 mile × x feet = 5280 feet × 70 miles

x feet = 5280 feet × 70 miles

x feet = 369600 feet

Hence, 70 miles = 369600 feet

Step 2

We convert 369600 feet/ hour to feet per second

60 seconds = 1 minute

60 minutes = 1 hour

1 hour = 60 × 60

= 3600 seconds.

369600 feet/ 1 hour = 369600 feet/3600 seconds

= 102.66666667 feet/ seconds

Therefore, 70 miles per hour is equivalent to 102.66666667 feet/ seconds

Answer:

c. 40.32%

Step-by-step explanation:

8.77-6.25 = 2.52

2.52/6.25 x 100 = 40.32%

Hope this helps!

Answer:

c. 40.32%

Step-by-step explanation: