whats 8739.993 × 555572572835

Answer:

t₉ = 32805

Step-by-step explanation:

The nth term of a geometric sequence is

\(t_{n}\) = t₁ \((r)^{n-1}\)

Here t₁ = 5 and r = - 3 , then

t₉ = 5 \((-3)^{8}\) = 5 × 6561 = 32805

Answer: is, 4.  All of the above are equivalent statements.

The x-intercept is where the graph crosses the x-axis.

here, we have,

The x-intercept is the point at which a line crosses the x-axis.

now,

The roots of a function are the x-values of the x-intercepts.

Therefore, if (-3, 0) is an x-intercept, then -3 is a root.

The zeros of the function are the x-values when y = 0.

(-3, 0) means x = -3 when y = 0.

Therefore, -3 is a zero.

According to the factor theorem, if f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x).

Given (-3, 0), then f(-3) = 0.  Therefore, (x - (-3)) = (x + 3) is a factor.

Therefore, all given statements are equivalent statements.

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Answer:

The third one............

The answer is the third choice

If you rearrange the equation... your answer will be the third one

Answer:

The length of the other leg of the triangle is 30 inches.

Step-by-step explanation:

Pythagorean: a^2+b^2=c^2

50=hypotenuse

50^2-40^2=missing leg

50^2=2500

40^2=1600

50^2-40^2=900

\(\sqrt{900}\)=30

30 is missing leg

The length of the other leg of the triangle is; 30 inches.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.

Using Pythagorean:

\(a^2+b^2=c^2\)

50 = hypotenuse

Let the missing length is x.

x² = 50^2-40^2

x² = 2500 - 1600

x²  = 900

x =30

Hence, the length in inches of the other leg of the triangle is 30.

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oky oky oky oky oky oky

sana makatulonh

These are the derivatives of the given functions with respect to x.

find the derivatives of each of the given functions with respect to x:

1. f(x) = 4x² - 1.5x - 13

Taking the derivative with respect to x:

f'(x) = d/dx (4x²) - d/dx (1.5x) - d/dx (13)

     = 8x - 1.5

2. f(x) = 2x³ + 3x² - 9

Taking the derivative with respect to x:

f'(x) = d/dx (2x³) + d/dx (3x²) - d/dx (9)

     = 6x² + 6x

3. f(x) = 16/√x - 4

Taking the derivative with respect to x:

f'(x) = d/dx (16/√x) - d/dx (4)

     = -8/√x

4. f(x) = 16/√x

Taking the derivative with respect to x:

f'(x) = d/dx (16/√x)

     = -8/√x²

     = -8/x

5. f(x) = (2x + 3)(3x + 4)

Using the product rule:

f'(x) = (2x + 3)(d/dx (3x + 4)) + (3x + 4)(d/dx (2x + 3))

     = (2x + 3)(3) + (3x + 4)(2)

     = 6x + 9 + 6x + 8

     = 12x + 17

6. f(x) = (3x² - 2x)³

Using the chain rule:

f'(x) = 3(3x² - 2x)²(d/dx (3x² - 2x))

     = 3(3x² - 2x)²(6x - 2)

     = 18x(3x² - 2x)² - 6(3x² - 2x)³

7. f(x) = 2x/(x² + 1)

Using the quotient rule:

f'(x) = [(d/dx (2x))(x² + 1) - (2x)(d/dx (x² + 1))] / (x² + 1)²

     = (2(x² + 1) - 2x(2x)) / (x² + 1)²

     = (2x² + 2 - 4x²) / (x² + 1)²

     = (-2x² + 2) / (x² + 1)²

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The probability that a particular death is due to an automobile accident is 4%

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

total deaths in recent years = 1158

automobile accident resulted = 46 accidents

cancer deaths resulted = 226 accidents

heart disease deaths resulted = 388 accidents

the probability that a particular death is due to an automobile accident = 46/1158

                     = 0.04 or 4 % chances

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Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

⇒D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

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Answer:

x= 2/3-y/z

Step-by-step explanation:

step1: 3x+y/z=2

step2: 3x= 2-y/z

step3: 3x/3 = (2-y/z)/3

step 4: x= 2/3- y/z

Answer:

\(x=\frac{2z-y}{3z}\)

Step-by-step explanation:

Given:

\(3x+\frac{y}{z} =2\)

Solution:

\(3x+\frac{y}{z} =2\)

Multiply both sides by \(z\):

\(3xz+y=2z\)

Take \(+y\) to the other side:

\(3xz=2z-y\)

Divide \(3z\) by both sides:

\(\frac{3xz}{3z} =\frac{2z-y}{3z}\)

\(x=\frac{2z-y}{3z}\)

In a shortest path problem, the right-hand side (RHS) value for the starting node has a value of 0. This indicates that the shortest path from the starting node to itself has a cost of 0.

In summary, the RHS value for the starting node in a shortest path problem is 0, indicating that the shortest path from the starting node to itself has a cost of 0.

The RHS value is used in the context of the Dijkstra's algorithm, which is commonly used to solve shortest path problems. In this algorithm, a priority queue is used to store the nodes that have not yet been visited, sorted based on their tentative distances from the starting node. Initially, the starting node is assigned a tentative distance of 0, indicating that it is the source node for the shortest path. The RHS value is used to update the tentative distance of a node when a shorter path is discovered. When a node is added to the priority queue, its tentative distance is compared to its RHS value, and the smaller of the two values is used as the node's priority in the queue. By setting the RHS value of the starting node to 0, we ensure that the starting node always has the highest priority in the queue and is processed first by the algorithm.

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Answer:

x = 11 and y = -8

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

To find the arc length, we can use the formula:

\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)

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Answer:

It's a.

Step-by-step explanation:

15s*3+180＝225

30s*3+180＝270

60s*3+180＝360

30s*3+180＝270

!!!!!!!!!!!!!!!!???????????

The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.

(a) Probability 0.225 to the right is equal to z-score 0.15.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the right of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of 0.15 is 0.225, which is the probability to the right.

(b) Probability 0.900 to the left is equal to z-score -1.28.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the left of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of -1.28 is 0.900, which is the probability to the left.

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When we rotate a  Parallelogram PQRS of 90 degrees clockwise about the origin, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

P(x₁, y₁) ⇒ P'(y₁ , -x₁ )

Q(x₂, y₂) ⇒ Q'(y₂ , -x₂ )

R(x₃, y₃) ⇒ R'(y₃ , -x₃ )

S(x₄, y₄) ⇒ S'(y₄ , -x₄ )

The Greek word "parallelogrammon," which means "bounded by parallel lines," is the source of the English word "parallelogram." Thus, a quadrilateral with parallel lines as its borders is referred to as a parallelogram. The opposing sides of this form are parallel and equal. Each of the three primary varieties of parallelograms—square, rectangle, and rhombus—has distinct characteristics.

A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposing sides that are parallel for it to be a parallelogram. If the opposing sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both sets of opposite sides are parallel and equal is referred to as a parallelogram.

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The value per share of the stock is approximately $52.31 (option 5) based on the dividend discount model calculation.

To calculate the value per share of the stock, we can use the dividend discount model (DDM). First, we need to calculate the future dividends for the first three years using the expected growth rate of 32%.

D1 = D0 * (1 + g) = $1.84 * (1 + 0.32) = $2.4288

D2 = D1 * (1 + g) = $2.4288 * (1 + 0.32) = $3.211136

D3 = D2 * (1 + g) = $3.211136 * (1 + 0.32) = $4.25174272

Next, we calculate the present value of the dividends for the first three years:

PV = D1 / (1 + r)^1 + D2 / (1 + r)^2 + D3 / (1 + r)^3

PV = $2.4288 / (1 + 0.134)^1 + $3.211136 / (1 + 0.134)^2 + $4.25174272 / (1 + 0.134)^3

Now, we calculate the future dividends beyond year three using the constant growth rate of 6.5%:

D4 = D3 * (1 + g) = $4.25174272 * (1 + 0.065) = $4.5301987072

Finally, we calculate the value of the stock by summing the present value of the dividends for the first three years and the present value of the future dividends:

Value per share = PV + D4 / (r - g)

Value per share = PV + $4.5301987072 / (0.134 - 0.065)

After performing the calculations, the value per share of the stock is approximately $52.31 (option 5).

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Answer:

3118/35 or 89.0857142

Step-by-step explanation:

convert 86.8 to fraction form which is 86 4/5 or 434/5 and add 16/7 by making the denominator same.

Answer:

$142 ; 0.749 ; Normal ; 0.090938

Step-by-step explanation:

Mean and standard deviation :

The mean of the distribution x = $142, because the sample size is sufficiently large, the distribution will be approximately normal (central limit theorem).

Standard deviation of distribution : σ/ sqrt(n)

= 29 / sqrt(1500)

= 0.749

B.)

Shape of sampling distribution of X.

The shape of the sampling distribution will be approximately normal due to the large sample size used. This is according to the central limit theorem whereby distribution of sample converges to normal with increasing sample size. Mean ~ N(142, 0.749²)

C.)

P(X > 143)

Using the relation :

Z = (x - mean) / standard error

Z = 143 - 142) / 0.7489

Z = 1.335

P(Z > 1.335) :

Using the Z probability calculator :

P(Z > 1.335) = 0.090938

Answer:

(a^7)/64

Step-by-step explanation:

1/(8×8) × a^7=1/64 × a^7

Answer:

|,||, and |||

Step-by-step explanation:

Answer:

22.467

Step-by-step explanation:

Hello,

You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred

x sqrt(x)

1 1

2 1.414

3 1.732

4 2

5 2.236

6 2.449

7 2.646

8 2.828

9 3

10 3.162

and do the sum which is 22.467

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

300

Step-by-step explanation:

First let's square all the integers from 1 to 10 inclusive. We get:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2 = 49

8^2 = 64

9^2 = 81

10^2 = 100.

Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.

Therefore, we obtain 

0+0+0+0+0+0+0+100+100+100,

or 300.

To find the derivative of f(x) at x = -2, use the formula f'(x) = 18x + 1. Substituting x = -2, we get f'(-2)f'(-2) = 18(-2) + 1, indicating a slope of -35 on the tangent line.

Given function is f(x) = 9x² + xTo find the derivative of the given function at x = -2, we first find f'(x) or the derivative of the function f(x).The derivative of the function f(x) with respect to x is given by f'(x) = 18x + 1.Using this formula, we find the derivative of the given function:

f'(x) = 18x + 1 Substitute x = -2 in the formula to find

f'(-2)f'(-2)

= 18(-2) + 1

= -36 + 1

= -35

Therefore, the derivative of f(x) = 9x² + x at x = -2 is -35. This means that the slope of the tangent line at x = -2 is -35.

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Without more specific information about the table in question, it's difficult to provide a detailed answer.

However, in general, when converting between fractions, decimals, and percents, there are a few key rules to keep in mind:

To convert a fraction to a decimal, divide the numerator by the denominator.

To convert a decimal to a percent, multiply by 100 and add a percent sign.

To convert a percent to a decimal, divide by 100.

To convert a percent to a fraction, write the percent as a fraction with a denominator of 100 and simplify if possible.

When completing a table that involves converting between these forms, it can be helpful to use these rules to guide your calculations. You may also want to make sure you understand the meaning of each form, as this can help you check your work and avoid errors.

For example, a percent represents a value out of 100, while a fraction represents a ratio of two numbers. By keeping these concepts in mind, you can more easily navigate between different forms and complete the table accurately.

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‎ㅤ‎ㅤ‎ㅤ➠ 193 = 16x + 7 y

On solving the given equation :

‎ㅤ‎ㅤ‎➙ 2x + 3y + 4x + 553 = 360 + 22x +10y

‎ㅤ‎‎ㅤ➙ 6x + 3y + 553 = 360 + 22x + 10y

‎ㅤ‎ㅤ➙ 553 - 360 = 22x - 6x + 10y - 3y

‎ㅤ‎ㅤ‎➙ 193 = 16x + 7y

‎ㅤ‎ ‎ㅤ‎ㅤ‎ㅤ~Hence, Solved !

\( \rule{300pt}{1pt}\)

Answer:

12

Step-by-step explanation:

Answer:

21 cm

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

17 - 5 < x < 17 + 5

12 < x < 22

The only given value in this range is 21 cm