the picture is the qestion ​

Given:

The Illinoian Stage began about 300,000 years ago.

The Wolstonian Stage began about 352,000 years ago

We will compare 300,000 to 352,000.

So, we will perform the subtraction operation.

So, the answer will be:

So, there is a difference between them 52,000 years

The given equation is 4x² - 8x + 9y² - 36y = -4. Now, we need to determine which type of conic the equation represents. To do this, we first need to complete the square for x and y terms.

\(4x² - 8x = 4(x² - 2x) = 4(x - 1)² - 4. Completing the square for y terms: 9y² - 36y = 9(y² - 4y) = 9(y - 2)² - 36. Putting it all together: 4(x - 1)² + 9(y - 2)² = 16\). This equation represents an ellipse with center at (1, 2) and vertices at (1 - 2√2, 2) and (1 + 2√2, 2).\((1, 2) and the vertices are (1 - 2√2, 2) and (1 + 2√2, 2).6. The given equation is 3x² + 12x + 3y² = 0. Now, we need to determine which type of c 3, we get x² + 4x + y² = 0.\) We can see that this equation is not possible as the sum of the squares cannot be zero. Hence, the given equation does not represent any conic.

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She would have sold 96 cars in total.

Answer:

104v

Step-by-step explanation:

What Harry and Helen will expect when their taxes are due is a refund of $555. That is option D.

Combined taxable income of the couple=

$65,922/week.

The amount withheld in a week = $187

The tax liability of married couple filing jointly=

$9,169.

The due tax= Total tax liability- total withheld amount.

Due tax = Total tax liability-( weekly withheld amount × number of weeks in a year)

Due tax = $9,169 - ($187× 52)

= $9,169- $9,724

= - $555

Therefore, what Harry and Helen will expect when their taxes are due is a refund of $555.

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The simplified fraction is -x²(x + y)/y for the given expression.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The fraction is given in the question, as follows;

{(x³ -xy²)/y}/{y/x - 1}

{x(x² -y²)/y}/{(y - x)/x}

{x(x - y)(x + y)/y}/{(y - x)/x}

Reciprocal the terms in the above fraction,

{x(x - y)(x + y)/y} × {x/(y - x)}

{x(x - y)(x + y)/y} × {-x/(x - y)}

Reduce the same term in the expression,

{x(x + y)/y} × {-x}

-x²(x + y)/y

This is the simplified fraction.

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The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.

The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.

To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.

Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.

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Answer:

I am sorry but is the last time I can help you!

I wish you all the best!

Answer:

The slope is -7 and the y intercept is -3

Answer:

Step-by-step explanation:

Answer:

D for A then for B is C

Step-by-step explanation:

so if you calculate me but it is going to help you in this

Answer:

Ahmet'in boyu 183cm emel de 27cm ahmetden uzun ise 183 ile 27 toplaman lazım

183+27=210

By the estimation of 3^(1/21) using the MacLaurin polynomial of the third order, we get -0.248.

First, to find the required polynomial, we use the binomial series expansion for three terms.

The general form of a binomial series expansion is given as:

(1 + x)ᵃ = ∑(n = 0 to n = inf) (ᵃCₙ) * xⁿ

where (ᵃCₙ) for each term is called its binomial coefficient.

We need only three terms expansion for the given polynomial (1−2x)²¹.

Here a = 21, and instead of x we have -2x.

Also, n = 0,1,2 and 3 for three terms.

So,

(1−2x)²¹ = (²¹C₀)*(-2x)⁰ + (²¹C₁)*(-2x)¹ + (²¹C₂)*(-2x)² + (²¹C₃)*(-2x)³

           = 1 - 42x + 840x² -10640x³

For estimating we can substitute x = 1/21 into the above expansion.

which gives us

1 - 42(1/21) + 840(1/21)² -10640(1/21)³

=  -0.248

Thus the approximation of the given polynomial is -0.248.

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You would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95% confidence interval.

In order to calculate the sample size needed for a 95% confidence interval with a margin of error of no more than 0.025, the formula to use is the following:

\(n = (z-score)^2 * p * (1-p) / (margin of error)^2\)

Where n = sample size, z-score = 1.96 (for 95% confidence interval), p = 0.5 (the expected population proportion) and margin of error = 0.025.

Substituting these values into the equation, we get:

\(n = (1.96)^2 * 0.5 * (1 - 0.5) / (0.025)^2\\n = 384\)

Therefore, you would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95 %  confidence interval.

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Answer:

a: -13º

b: 83º

Step-by-step explanation:

- a: \(-27 + 14 = -13\)º

- b: \(68 + 15 = 83\)º

- the equation would originally be written as 68 - -15 but 2 negatives make a positive so -- becomes +

hope this helps :)

Answer: Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.

Step-by-step explanation:

To calculate the correlation coefficient, r, we need to follow these steps:

Step 1: Calculate the sum of squares of age.

Step 2: Calculate the sum of squares for fundamental frequency.

Step 3: Calculate the sum of products between age and frequency.

Step 4: Compute the correlation coefficient, r.

Here are the calculations:

Step 1: Calculate the sum of squares of age.

2^2 + 2^2 + 2^2 + 6^2 + 9^2 + 10^2 + 13^2 + 10^2 + 14^2 + 14^2 + 12^2 + 7^2 + 11^2 + 11^2 + 14^2 + 20^2 = 1066

Step 2: Calculate the sum of squares for fundamental frequency.

840^2 + 670^2 + 580^2 + 470^2 + 540^2 + 660^2 + 510^2 + 520^2 + 500^2 + 480^2 + 400^2 + 650^2 + 460^2 + 500^2 + 580^2 + 500^2 = 1990600

Step 3: Calculate the sum of products between age and frequency.

2840 + 2670 + 2580 + 6470 + 9540 + 10660 + 13510 + 10520 + 14500 + 14480 + 12400 + 7650 + 11460 + 11500 + 14580 + 20500 = 190080

Step 4: Compute the correlation coefficient, r.

r = [nΣ(xy) - ΣxΣy] / [sqrt(nΣ(x^2) - (Σx)^2) * sqrt(nΣ(y^2) - (Σy)^2))]

where n is the number of observations, Σ is the sum, x is the age, y is the fundamental frequency, and xy is the product of x and y.

Using the values we calculated in steps 1-3, we get:

r = [16190080 - (106500)] / [sqrt(162066 - 106^2) * sqrt(161990600 - 500^2)]

= 0.877

Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.

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Answer:

z=56

Step-by-step explanation:

trust me

z=56  pay attention in school‍

Given:

A figure of two congruent triangles.

To find:

The triangle congruence postulate by which the given triangles are congruent.

Solution:

First label the vertices as shown below.

In triangle ABC and triangle CDA,

\(AB\cong CD\)                   (Given)

\(\angle BAC\cong \angle DCA\)                   (Given)

\(AC\cong AC\)                  (Common side)

The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.

\(\Delta ABC\cong \Delta CDA\)            [SAS congruence postulate]

Therefore, the correct option is B.

Answer:

c) 2

Step-by-step explanation:

here you can use cross multiplication. that's where you turn the fraction into an equation. ( there's videos about it, I'm not very good at explaining )

so you can turn

\(\frac{5}{x} = \frac{15}{x + 20}\)

into

5(x + 20) = 15x

5x + 100 = 15x

subtract 5x from both sides

100 = 10x

x = 10.

the value of x/5 would be 2, since 10/5 is 2.

Since x/5 is the reciprocal of 5/x, we know that we can flip the fraction on the right hand side will be flipped.

Thus, x/5 = (x + 20)/15

Now we cross multiply, 15x = 5(x + 20)

Simplify: 15x = 5x + 100

Subtract 5x from each side: 10x = 100

Divide 10: x = 10

Now plug 10 back into the right hand side: (10 + 20)/15

So, the answer is 2.

Answer: 336+6i

The key to solving this problem is to choose which parts you should solve first.

2i(3-4i)+8(4-5i)(4+5i)​

let's divide this expression to three parts:

2i(3-4i), 8 and (4-5i)(4+5i)​

first let's solve 2i(3-4i):

2i(3-4i) =

2i × 3 + 2i × -4i =

6i - 8i² =

6i + 8

(4-5i)(4+5i)​:

(4-5i)(4+5i)​ =

16 + 20i - 20i -25² =

16 + 25 =

41

8(4-5i)(4+5i)​:

8(4-5i)(4+5i)​ = 8 × 41 = 328

Now let's put back these parts:

2i(3-4i)+8(4-5i)(4+5i)​ =

6i + 8 + 328 =

6i +336 OR 336 +6i

Explanation:

When we reflect over the vertical y axis, every negative x value becomes positive and vice versa. So we effectively replace x with -x like so

f(x) = -5x+9

f(-x) = -5(-x)+9 ... replace every x with -x

f(-x) = 5x+9

g(x) = 5x+9

A point like (1,4) on f(x) will reflect over to (-1,4) on g(x). If we apply this to every point on f(x), then all of f(x) will reflect to g(x).

To calculate the time required to raise the water level in a reservoir, we need additional information. Specifically, we need to know the area of the reservoir (in square feet) and the conversion factor between cubic feet per second (cfs) and the unit of volume used for the reservoir's area.

Assuming the reservoir's area is given in square feet and the conversion factor is 1 acre = 43,560 square feet, we can proceed with the calculation.

Given:

Flow rate (Q) = 3.4 cfs

Water level increase (h) = 11 inches

Reservoir area (A) = 5 acres = 5 * 43,560 square feet

First, we convert the water level increase from inches to feet:

h = 11 inches * (1 foot / 12 inches) = 11/12 feet

Next, we calculate the volume of water needed to raise the water level in the reservoir:

Volume (V) = A * h

Finally, we calculate the time required to pump the necessary volume of water:

Time (T) = V / Q

Substituting the values, we have:

Volume (V) = 5 * 43,560 square feet * 11/12 feet

Time (T) = (5 * 43,560 * 11/12) / 3.4 seconds

To get the time in a more convenient unit, you can convert seconds to minutes or hours as desired.

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a. The 99% confidence interval for the average body temperature of healthy people is (98.024, 98.476) degrees.  b )   we can conclude that there is evidence to suggest that the average body temperature of healthy people is different from 98.6 degrees.

a) To calculate the 99% confidence interval for the average body temperature of healthy people, we can use the formula:

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

Where:

Mean is the sample mean (98.25 degrees)

Standard deviation is the sample standard deviation (0.73 degrees)

n is the sample size (130)

The critical value for a 99% confidence level is 2.61 (obtained from the t-distribution table for a large sample size)

Plugging in the values, we get:

Confidence interval = 98.25 ± (2.61 * (0.73 / √130))

Confidence interval = 98.25 ± 0.226

Confidence interval = (98.024, 98.476)

b) The confidence interval obtained in part (a) does not contain the value 98.6 degrees. Since the accepted average temperature cited by physicians and others is not within the confidence interval, we can conclude that there is evidence to suggest that the average body temperature of healthy people is different from 98.6 degrees. The sample data suggests that the average body temperature is lower than the commonly accepted value.

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Answer:

Yes, Mina is correct

Step-by-step explanation:

Let the triangles be A and B

Given

Triangle A:

\(Angles = 34, 57\)

Triangle B:

\(Angles = 89, 57\)

Required

Is Mina's claim correct?

First, we calculate the third angle in both triangles.

For A:

\(Third\ Angle = 180 - 34 - 57\)

\(Third\ Angle = 89\)

For B:

\(Third\ Angle = 180- 89 - 57\)

\(Third\ Angle = 34\)

For triangle A, the angles are: 34, 57 and 89

For triangle B, the angles are: 34, 57 and 89

Since both triangles have the same angles, then by the postulate of AAA (Angle-Angle-Angle), the triangles are similar.

Those two have both two formulas but when dealing with a not-right triangle which is a particular case you use this formula for sines.

\(\frac{SinC}{c} =\frac{SinR}{r}\)

Substitute

Note: the capital letters are for the angles and the small letter are for the sides.

But since we used side R and there is no angle to substitute. you will basically have to find it by adding the two angles given and subtracting it by 180, which is a 100.

\(\frac{Sin(7)}{1.9} =\frac{Sin100}{x}\)

now you do the butterfly method or cross multiplication method.

\(xsin(7)=1.9sin(100)\)

You have to isolate the x

\(\frac{xsin(7)}{sin(7)} =\frac{1.9sin(100)}{sin(7)}\)

now cancel and plug the right side of the equation into your calculator and u get the answer for the missing side.

\(x= 15.35\) or if u want to round it \(15.4\)

<R = 100 and side CK= 15.35 or 15.4

Hope I helped! ^w^

TheOneAndOnlyLara~

The sampling method where elements are selected by choosing every nth element on the sampling frame after a random starting point is known as systematic sampling.

In systematic sampling, the sampling frame is first divided into intervals of equal size, and then a random starting point is selected. From that starting point, every nth element is chosen as the sample. This method ensures that the sample is representative of the population and provides an equal chance of selection for each element in the sampling frame.

Systematic sampling is advantageous as it is relatively easy to implement and allows for a systematic approach to selecting samples. It also ensures that the sample covers the entire range of the sampling frame. However, it may introduce a potential bias if there is any periodicity or pattern in the sampling frame that coincides with the sampling interval.

systematic sampling is a useful sampling method that provides an efficient way to select representative samples from a large population. By employing a random starting point and selecting every nth element, systematic sampling helps ensure fairness and coverage in the sampling process.

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Answer b

Because -2-5 adds -5 to it equals -7

If you have any questions about answer just ask

And please give brainliest

If f(z) is analytic in a domain D and either ∣f(z)∣ is a constant or argf(z) is a constant, then f(z) is a constant in D.

We will prove both conditions separately.

Condition 1: ∣f(z)∣ is a constant.

Let C be the constant value of ∣f(z)∣ for z ∈ D. Since f(z) is analytic in D, it satisfies the Cauchy-Riemann equations:

∂u/∂x = ∂v/∂y   (1)

∂u/∂y = -∂v/∂x   (2)

where f(z) = u(x, y) + iv(x, y), and u(x, y) and v(x, y) are the real and imaginary parts of f(z), respectively.

Taking the modulus of f(z), we have:

|f(z)|^2 = f(z) * f(z)*

        = (u(x, y) + iv(x, y)) * (u(x, y) - iv(x, y))

        = u(x, y)^2 + v(x, y)^2

Since |f(z)| is constant, |f(z)|^2 is also constant. Therefore, u(x, y)^2 + v(x, y)^2 is constant in D.

Now, let's take the partial derivatives of u(x, y)^2 + v(x, y)^2 with respect to x and y:

∂(u^2 + v^2)/∂x = 2u(x, y) * ∂u/∂x + 2v(x, y) * ∂v/∂x   (3)

∂(u^2 + v^2)/∂y = 2u(x, y) * ∂u/∂y + 2v(x, y) * ∂v/∂y   (4)

Since u(x, y)^2 + v(x, y)^2 is constant, its partial derivatives with respect to x and y must be zero. Therefore, equations (3) and (4) become:

2u(x, y) * ∂u/∂x + 2v(x, y) * ∂v/∂x = 0   (5)

2u(x, y) * ∂u/∂y + 2v(x, y) * ∂v/∂y = 0   (6)

From the Cauchy-Riemann equations (equations 1 and 2), we can substitute the derivatives in equations (5) and (6) to get:

2u(x, y) * ∂v/∂y - 2v(x, y) * ∂u/∂y + 2v(x, y) * ∂v/∂x + 2u(x, y) * ∂u/∂x = 0

2(u(x, y) * ∂v/∂y - v(x, y) * ∂u/∂y) + 2(v(x, y) * ∂v/∂x + u(x, y) * ∂u/∂x) = 0

Since both terms in the parentheses are zero, we have:

u(x, y) * ∂v/∂y - v(x, y) * ∂u/∂y = 0

v(x, y) * ∂v/∂x + u(x, y)

* ∂u/∂x = 0

These equations imply that the functions u(x, y) and v(x, y) must be identically zero, which means f(z) = 0 for all z ∈ D. Hence, f(z) is a constant in D.

Condition 2: argf(z) is a constant.

If argf(z) is constant, then the imaginary part v(x, y) of f(z) must be constant. Since f(z) is analytic in D, it satisfies the Cauchy-Riemann equations (equations 1 and 2).

Taking the partial derivative of v(x, y) with respect to x, we have:

∂v/∂x = -∂u/∂y

Since ∂v/∂x = 0 (as v(x, y) is constant), it follows that ∂u/∂y = 0. Similarly, taking the partial derivative of v(x, y) with respect to y, we have:

∂v/∂y = ∂u/∂x

Since ∂v/∂y = 0 (as v(x, y) is constant), it follows that ∂u/∂x = 0. These conditions imply that both the real part u(x, y) and the imaginary part v(x, y) of f(z) are constant in D, which means f(z) is a constant.

We have shown that if f(z) is analytic in a domain D and either ∣f(z)∣ is a constant or argf(z) is a constant, then f(z) is a constant in D.

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Hey there!

\(c=0.765x+0.06(0.765x)\)

Add:

\(c=0.765x+0.06(0.765x)\\c=0.8109x\)

Hope this helps!

\(AT2309\)