pls help me please
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Answer:

y = x^2 - 4.

Step-by-step explanation:

This graph is the reslt of translating y = x^2 down by 4 nits

Answer:

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

The null hypothesis (H0) states that the average age is equal to or greater than 30.8 years, while the alternative hypothesis (Ha) states that the average age is less than 30.8 years.

In hypothesis testing, we set up the null hypothesis (H0) and the alternative hypothesis (Ha) to investigate a claim or conjecture. In this case, the conjecture is that the average age of a senior surgical resident in the United States is less than 30.8 years old.

The null hypothesis (H0) assumes that the average age is equal to or greater than 30.8 years, and any difference observed in the sample is due to random chance or sampling variability. Therefore, the null hypothesis can be stated as:

H0: The average age of senior surgical residents in the United States is greater than or equal to 30.8 years.

The alternative hypothesis (Ha) represents the claim or the opposite of the null hypothesis. In this case, the alternative hypothesis states that the average age is less than 30.8 years, indicating that there is a significant difference or evidence against the null hypothesis. Therefore, the alternative hypothesis can be stated as:

Ha: The average age of senior surgical residents in the United States is less than 30.8 years.

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Answer:

2x+22

Step-by-step explanation:

Answer:3,500

Step-by-step explanation:

Company A is riskier than Company B. The reason for this is that Company A has a higher risk percentage, meaning that there is a greater chance of experiencing losses, and its Coefficient of Variation is also higher.

The Coefficient of Variation (CV) is used to measure the level of risk in investment portfolios. The formula for CV is given as follows:CV = (Standard Deviation / Expected Return) × 100In this context, we can find out the Coefficient of Variation for Company A as follows:

CV for Company A = (55% / 14%) × 100%

= 392.86

Similarly, we can find out the Coefficient of Variation for Company B as follows:

CV for Company B = (3% / 14%) × 100%

= 21.43

As we can see, the CV for Company A is significantly higher than that for Company B, indicating that Company A is riskier than Company B. The reason for this is that Company A has a higher risk percentage, meaning that there is a greater chance of experiencing losses, and its Coefficient of Variation is also higher.

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The three objects that make up the Alpha centauri system, given their description, are all D. stars.

Alpha Centauri is a star system that consists of three stars, not planets, asteroids, or comets. The three stars are named Alpha Centauri A, Alpha Centauri B, and Proxima Centauri.

Alpha Centauri A and B are similar to the Sun, while Proxima Centauri is a smaller and cooler red dwarf star. The three stars in the Alpha Centauri system produce light and rotate on their own axis, and the system is located an average of 4 light-years from Earth.

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Answer: C. linear

Step-by-step explanation:

Since the raise is going to be a constant amount, a 4% raise, the model will be linear.

Correct me if I am incorrect.

The amount of grass needed for the courtyard is given as follows:

105.68 square feet.

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is half the diameter, given as follows:

r = 0.5 x 11.6

r = 5.8 ft.

Hence the area is given as follows:

A = π x 5.8²

A = 105.68 square feet.

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Janel can make 12 bracelets. The quotient of 12 and remainder of 24 means that Janel can make 12 bracelets but does not have enough beads for 13 bracelets.

Hope it helps

lovelymoonlight

Janel can make total of 12 bracelets.

One of the four fundamental operations, along with addition, subtraction, and multiplication, is division. A number is split in the straightforward action of division.

The following dividend formula can be used to find the dividend if the values of the divisor, quotient, and remainder are provided.

Dividend = Divisor x Quotient + Remainder

Janel has total number of beads = 600.

Beads required to make one bracelet = 48.

To calculate the number of beads divide total number of beads by 48.

Beads = 600/48

Quotient comes out as 12 and remained comes out as 24.

Therefore, the total number of bracelets can made is 12.

After completion of 12 bracelets 24 beads will left.

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Answer:

0.5?

Step-by-step explanation:

The Jacobian of the transformation is:

J = | 2u + v u |

\(| 7v^2 14u v |\)

To find the Jacobian of the transformation, we need to calculate the partial derivatives of the new variables (x and y) with respect to the original variables (u and v). The Jacobian matrix is given by:

J = [∂(x) / ∂(u) ∂(x) / ∂(v)]

[∂(y) / ∂(u) ∂(y) / ∂(v)]

Let's calculate the partial derivatives:

∂(x) / ∂(u):

To find this partial derivative, we differentiate x with respect to u while treating v as a constant.

∂(x) / ∂(u) = ∂(\(u^2\) + uv) / ∂(u) = 2u + v

∂(x) / ∂(v):

To find this partial derivative, we differentiate x with respect to v while treating u as a constant.

∂(x) / ∂(v) = ∂(\(u^2\) + uv) / ∂(v) = u

∂(y) / ∂(u):

To find this partial derivative, we differentiate y with respect to u while treating v as a constant.

∂(y) / ∂(u) = ∂(\(7uv^2\)) / ∂(u) = 7v^2

∂(y) / ∂(v):

To find this partial derivative, we differentiate y with respect to v while treating u as a constant.

∂(y) / ∂(v) = ∂(\(7uv^2\)) / ∂(v) = 14uv

Now, we can assemble the Jacobian matrix:

J = [2u + v u]

\(| 7v^2 14uv |\)

Thus, the Jacobian of the transformation is:

J = | 2u + v u |

\(| 7v^2 14uv |\)

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The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Answer:

>

Step-by-step explanation:

Even though its 0 its still greater than any negative number.

Answer:

Step-by-step explanation:

The fraction of the cake that was ron's pieces is 1/5.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Since Mrs Jones gave 1/5 of a cake to her neighbour, the remaining fraction will be:

= 1 - 1/5

= 4/5

The fraction of the cake that was ron's pieces will be:

= 2/(1+3+4) × 4/5

= 2/8 × 4/5

= 8/40

= 1/5

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The required condition for using an ANOVA (Analysis of Variance) procedure on data from several populations is that the sampled populations have equal variances.

In ANOVA, we compare the variation between the sample means to the variation within each sample. By assuming equal variances across populations, we can make valid statistical inferences about the differences in means.

While it is desirable for the populations to have equal means, it is not a strict requirement for conducting ANOVA. ANOVA can still be used even if the population means are not equal, as long as the assumption of equal variances holds.

Uniformity of the populations or dependence between samples are not specifically required conditions for using ANOVA. The focus is primarily on the assumption of equal variances, which allows for valid statistical comparisons of the means across multiple populations.

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Answer:29.4

Step-by-step explanation:

alright so basically if he bought 3 plants for 17.94, then you just have to divide by three, like so. 17.94/3. you can do this with any calculator. now you have the original price of each plant, which is $5.98. now, multiply by two. $11.96. now add 17.94. $29.4.  that is the final answer

The cost of buying two more plants is $11.98

Cost is a value of money that a company had to spend to produce its goods or services.

Given that, Simon bought three plants at a nursery for $17.94

Cost of 3 plants = $17.94

Cost of 1 plant = $17.94/3

Cost of 1 plant = $5.98

Cost of 2 plant = $5.98*2 = $11.96

Hence, The cost of buying two more plants is $11.98

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Answer:176 is the answer if your asking for the outer circles circumfer

Step-by-step explanation:

Answer:

\(m=\frac{-1}{2}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{-3-(-1)}{2-(-2)}\)

\(m=\frac{-3+1}{2+2}\)

\(m=\frac{-2}{4}\)

\(m=\frac{-1}{2}\)

The ratio of LM to FG is 3:4, so correct option is A.

A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.

The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.

Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.

Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.

If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).

So we have:

LMN / FGH = 18 / 32

(x²) = 18 / 32

x² = 9 / 16

x = (3 / 4)

Therefore, the ratio of LM to FG is 3:4, which is option A.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Step-by-step explanation:

the domain is the interval or set of all valid input (x) values.

so, x goes through what values ?

we see, from left to right, it is coming from a limitless left (-infinity) and goes seemingly against x = 2 without ever reaching that value.

so, the domain is

-infinity < x < 2

The first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608

For given question,

We have been given the recursive formula of a sequence.

\(a_{k+1}=\frac{1}{3}{a_k}^2\)

Also, the first term of the sequence is,

a1 = 6

Substitute k = 1 in given recursive formula.

⇒ \(a_{1+1}=\frac{1}{3}{a_1}^2\)

⇒ a2 = 1/3 (6)²

⇒ a2 = (1/3) × 36

⇒ a2 = 12

Substitute k = 2 in given recursive formula.

⇒ \(a_{2+1}=\frac{1}{3}{a_2}^2\)

⇒ a3 = (1/3) × (12)²

⇒ a3 = (1/3) × 144

⇒ a3 = 48

Substitute k = 3 in given recursive formula.

⇒ \(a_{3+1}=\frac{1}{3}{a_3}^2\)

⇒ a4 = (1/3) × (48)²

⇒ a4 = (1/3) × 2304

⇒ a4 = 768

Substitute k = 4 in given recursive formula.

⇒ \(a_{4+1}=\frac{1}{3}{a_4}^2\)

⇒ a5 = (1/3) × (768)²

⇒ a5 = (1/3) × 589824

⇒ a5 = 196608

Therefore, the first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608

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The ratio of change in the area of a rectangle, given that the length has increased in the ratio 3:2 and the width has reduced in the ratio 4:5 and the ratio of change in the area of the rectangle is 1.2, indicating a 20% increase in the area from the original size.

Let's calculate the new length and width of the rectangle. The original length is 18 cm, and it has increased in the ratio 3:2. So, the new length can be calculated as (18 cm) * (3/2) = 27 cm. Similarly, the original width is 15 cm, and it has reduced in the ratio 4:5. Hence, the new width can be calculated as (15 cm) * (4/5) = 12 cm.

The original area of the rectangle is (18 cm) * (15 cm) = 270 cm². The new area is (27 cm) * (12 cm) = 324 cm². Therefore, the ratio of change in the area can be calculated as (324 cm²) / (270 cm²) = 1.2.

Hence, the ratio of change in the area of the rectangle is 1.2, indicating a 20% increase in the area from the original size.

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Step-by-step explanation:

the radius of the circle is 10 in.

so, what is the area of the whole circle (which represents an angle of 360°) ?

the area of the circle is

pi×r² = pi×10² = 100pi

ok, now we don't need the area of the full 360°. we only need the area of 120°.

what would be the area of only 1° ?

I think that is fully clear : it would be the area of the full circle divided by 360 :

100pi / 360

and now, based on this, what is then the area of 120° ?

well, 120 times the area of 1° :

(100pi / 360) × 120 = 100pi × 120/360 = 100pi × 1/3 =

= 100pi/3 = 104.7197551... in² ≈

≈ 104.72 in²

so, you see, the area of a sector is always the area of the full circle multiplied by (angle/360).

the sector is nothing else than a fraction of the full circle.

Answer:

60

Step-by-step explanation:

One year on Venus is 225 days on Earth.

Multiply that by 9 1/2.
The answer you get is 2137.5

9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.

There are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Equivalent to 9 1/2 years on venus.

Let the number of days on earth is x:

One year on Venus is 225 days on Earth.

= (225)(9 1/2)

= (225x19)/2

= 2137.5 days

Thus, there are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

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Answer:

5, 9, 13, 17, 21, 25

Step-by-step explanation:

Given a₁ = 5 and d = 4

Add d = 4 to the previous term, that is

a₁ = 5

a₂ = a₁ + 4 = 5 + 4 = 9

a₃ = a₂ + 4 = 9 + 4 = 13

a₄ = a₃ + 4 = 13 + 4 = 17

a₅ = a₄ + 4 = 17 + 4 = 21

a₆ = a₅ + 4 = 21 + 4 = 25