HELP I NEED THE ANSWER FAST its says true or false false ( the absolute of a number can be negative

Answer:60

x=8.14

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is -1/2.

To find the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3, we need to first find the derivative of r with respect to θ, and then evaluate it at θ = π/3.

Differentiating both sides of the polar equation with respect to θ, we get:

dr/dθ = d/dθ(2 - sinθ)

dr/dθ = -cosθ

So, the derivative of r with respect to θ is -cosθ.

Evaluating this derivative at θ = π/3, we get:

dr/dθ|θ=π/3 = -cos(π/3) = -1/2

Therefore, the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is -1/2.

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Answer:

empezando multiplicar todos los números seria un total de 1785  que lo pondremos con m3  que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000  

Step-by-step explanation:

respuesta 1 785 000

Answer:

161 donuts

Step-by-step explanation:

(231+89)/2 then add one more donut as the question asked for at least $231

320/2 = 160 + one more donut = 161 donuts have to sold to make at least $231.

You have add the machine price as he wouldn't be making a profit off it if he didn't surpass what he spent for it.

Check your work by doing 161 times 2 minus 89 minus the 1 donut added and you'll get the $231. Not subtracting the one shows the profit of a dollar aka at least $231

Answer:

11

Step-by-step explanation:

she divides the number of pencils equally

so the number of pencils per student is 152/13

which is 11.692...

but she can't give 0.69 of a pencil so she gives only the whole part 11

and she keeps 9 pencils

Answer:

  2(x -2)² +6

Step-by-step explanation:

You want the quadratic 2x² -8x +14 written in vertex form.

The vertex form of a quadratic is ...

  y = a(x -h)² +k

where the vertex is (h, k) and 'a' is the leading coefficient.

It is often useful to start by factoring the leading coefficient from the variable terms:

  =2(x² -4x) +14

Now we add inside parentheses a value that is the square of half the x-coefficient. The same value is subtracted outside parentheses.

  = 2(x² -4x +(-4/2)²) +14 -2(-4/2)²

  = 2(x² -4x +4) +14 -2(4)

  = 2(x -2)² +6

Answer:

\(\frac{tan~x+1}{tan~x-1}\)

\(\frac{tan~x+tan~45}{tan~x-tan~45}\)

The equation (2 + 2i)^2 - 9(2 - 2i) = 0 can be written in polar form as r^2e^(2θi) - 9re^(-2θi) = 0.


To convert the equation to polar form, we need to express the complex numbers in terms of their magnitude (r) and argument (θ).

Let's start by expanding the equation:
(2 + 2i)^2 - 9(2 - 2i) = 0
(4 + 8i + 4i^2) - (18 - 18i) = 0
(4 + 8i - 4) - (18 - 18i) = 0
(8i - 14) - (-18 + 18i) = 0
8i - 14 + 18 - 18i = 0
4i + 4 = 0

Now, we can write this equation in polar form:
4i + 4 = 0
4(re^(iθ)) + 4 = 0
4e^(iθ) = -4
e^(iθ) = -1

To find the polar form, we determine the argument (θ) that satisfies e^(iθ) = -1. We know that e^(iπ) = -1, so θ = π.

Therefore, the equation (2 + 2i)^2 - 9(2 - 2i) = 0 can be written in polar form as r^2e^(2θi) - 9re^(-2θi) = 0, where r is the magnitude and θ is the argument (θ = π in this case).

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Answer:

100000000

Solution:

9^4=6561

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

3^6=729

3^7=2187

3^8=6561

6561=(1×3^8)+(0+3^7)+(0×3^6)+(0^3^5)+(0×3^4)+(0×3^3)+(0×3^2)+(0×3^1)+(0×3^0)

100000000 with the base of 3

Answer:

3. 8 feet

Step-by-step explanation:

To find the horizontal distance (x) in feet, we can use the following steps:

Step 1: Determine the vertical height that the box has been lifted.

The difference between the two points is:

9 ft - 3 ft = 6 ft.

Therefore, the box has been lifted 6 feet.

Step 2: Use the slope of the ramp to find the horizontal distance (x).

The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:

3/4 = 6/x

We can cross-multiply to get:

3x = 24

Dividing both sides by 3 gives us:

x = 8

Therefore, the horizontal distance (x) is 8 feet.

A. Using the given information, we can standardize the value 203.4 using the formula \(z = (X - μ) / σ\), where X is the value of interest, μ is the mean, and σ is the standard deviation.

Thus, we get: \(z = (203.4 - 208.5) / 35.4 = -0.14407\)

Using a standard normal distribution table or calculator, we can find the probability that a randomly selected value is greater than \(203.4\):

\(P(X > 203.4)\) = \(P(Z > -0.14407)\) = \(0.5563\) (rounded to 4 decimal places)

To find the probability that the sample mean is greater than 203.4, we need to use the central limit theorem, which states that the sample mean of a large enough sample size (n >= 30) from a population with any distribution has a normal distribution with mean μ and standard deviation σ / sqrt(n). Thus, we get:

\(z = (203.4 - 208.5) / (35.4 / sqrt(236))\)\(= -1.3573\)

Using a standard normal distribution table or calculator, we can find the probability that the sample mean is greater than 203.4:

\(P(X¯¯¯ > 203.4) = P(Z > -1.3573)\)= \(0.0867\) (rounded to 4 decimal places)

B. Using the given information, we can standardize the values \(217.5\) and \(234.6\) using the same formula as before. Thus, we get:

\(z1 = (217.5 - 223.7) / 56.9\) \(= -0.10915\)

\(z2 = (234.6 - 223.7) / 56.9 = 0.19235\)

Using a standard normal distribution table or calculator, we can find the probability that a randomly selected value is between 217.5 and 234.6:

\(P(217.5 < X < 234.6) = P(-0.10915 < Z < 0.19235) = 0.2397\) (rounded to 4 decimal places)

To find the probability that the sample mean is between 217.5 and 234.6, we can use the same formula as before, but with the sample size and population parameters given in part B. Thus, we get:

\(z1 = (217.5 - 223.7) / (56.9 / sqrt(244)) = -1.0784\)

\(z2 = (234.6 - 223.7) / (56.9 / sqrt(244)) = 1.7256\)

Using a standard normal distribution table or calculator, we can find the probability that the sample mean is between 217.5 and 234.6:

\(P(217.5 < X¯¯¯ < 234.6) = P(-1.0784 < Z < 1.7256)\)= \(0.8414\)(rounded to 4 decimal places)

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Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

∂z/∂s = 3cos(t)/y, ∂z/∂t = 3s*cos(t)/y - sin(s)/x (using the chain rule to differentiate each term and substituting the given expressions for x and y)

To find ∂z/∂s and ∂z/∂t using the chain rule, we start by finding the partial derivatives of z with respect to x and y, and then apply the chain rule.

First, let's find ∂z/∂x and ∂z/∂y.

∂z/∂x = ∂/∂x [ln(5x^3y)]

= (1/5x^3y)  ∂/∂x [5x^3y]

= (1/5x^3y) 15x^2y

= 3/y

∂z/∂y = ∂/∂y [ln(5x^3y)]

= (1/5x^3y) ∂/∂y [5x^3y]

= (1/5x^3y)  5x^3

= 1/x

Now, using the chain rule, we can find ∂z/∂s and ∂z/∂t.

∂z/∂s = (∂z/∂x)  (∂x/∂s) + (∂z/∂y)  (∂y/∂s)

= (3/y)  (cos(t)) + (1/x)  (0)

= 3cos(t)/y

∂z/∂t = (∂z/∂x)  (∂x/∂t) + (∂z/∂y)  (∂y/∂t)

= (3/y) * (scos(t)) + (1/x)  (-sin(s))

= 3scos(t)/y - sin(s)/x

Therefore, ∂z/∂s = 3cos(t)/y and ∂z/∂t = 3s*cos(t)/y - sin(s)/x.

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By identifying the largest exponent in each expression, we see that the answers are:

a) D = 3.

b) D = 5.

c) D = 0.

The degree is just the largest exponent of the variable in an expression.

First, we have:

a) √3xyz - 5

The largest exponent is on the term √3*xyz is 3 (because we add the 3 exponents 1 of x, y, and z) so this expression has a degree of 3.

b)  y² - 3y⁵ -y + 2y³ - 4

Here the largest exponent is on the second term, so we can see that the degree is 5.

c) -10³

Here we don't have a variable, so this is a constant, which means that the degree is zero, because we could write:

-10³*x⁰

Where we use the fact that x⁰ = 1

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Answer:

a=41  b=-9

Step-by-step explanation:

By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 41, and3b + 40 = 13, rearranging b = -9.

Answer from Gauth math

Answer:

Hello,

Step-by-step explanation:

We are going to use identification of terms.

\(5(7x+8)+3(2x+b)=ax+13\\\\35x+40+6x+3b=ax+13\\\\41x+40+3b=ax+13\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\3b+40&=&13\\\end{array}\right.\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\b&=&-9\\\end{array}\right.\\\\\)

Produced by myself

Answer:

B=28

Step-by-step explanation:

The multiplication of (2 + 6i)² is -32 + 24i. The complex number π/4 [cos(π/4) + i sin(π/4)] can be expressed in rectangular form as π√2/8 + (π/8)i√2.

To multiply (2 + 6i)² with itself, we can use the FOIL method.

(2 + 6i)²

= (2 + 6i)(2 + 6i)

Expanding the expression:

= 2 * 2 + 2 * 6i + 6i * 2 + 6i * 6i

= 4 + 12i + 12i + 36i²

Remember that i² is equal to -1:

= 4 + 12i + 12i - 36

= -32 + 24i

Therefore, (2 + 6i)² = -32 + 24i. Now, let's write the complex number π/4 [cos(π/4) + i sin(π/4)] in rectangular form.

Using Euler's formula, cos(π/4)

= sin(π/4)

= √2/2:

π/4 [cos(π/4) + i sin(π/4)]

= π/4 (√2/2 + i √2/2)

Multiplying the real and imaginary parts separately:

= π/4 * √2/2 + π/4 * i √2/2

= π√2/8 + (π/8)i√2

Therefore, the rectangular form of the complex number π/4 [cos(π/4) + i sin(π/4)] is π√2/8 + (π/8)i√2.

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a. Sample standard deviation of $13.19 as an estimate of the population standard deviation. b. The population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.

a. The confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($132.89, $155.11) to two decimals.

To calculate the confidence interval, we use the formula:
CI = sample mean ± (z-score)(standard deviation / √sample size)
where the z-score is based on the desired level of confidence. For a 95% confidence level, the z-score is 1.96.

Plugging in the given values, we get:
CI = $144 ± (1.96)($13.19 / √n)
where n is the sample size. We are not given the sample size in this question, so we cannot calculate the exact interval. However, we can use the given sample standard deviation of $13.19 as an estimate of the population standard deviation.

So, CI = $144 ± (1.96)($13.19 / √n) = ($132.89, $155.11) to two decimals.

b. No, we cannot determine if the population mean at Niagara Falls differs from the mean reported by the American Automobile Association. The confidence interval includes the mean reported by the AAA, which was not significantly different from the sample mean. We can only say that the population mean at Niagara Falls is likely within this range of values, but we cannot say for certain whether it is higher or lower than the overall average daily vacation expenditure.

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Step-by-step explanation:

as there are only 3 types of discontinuity overall : A, B and C.

there is no fourth, so D is out.

to check we use x = 2 in both equations and see, if and how the 2 connect or disconnect at that point.

5x + 4, x = 2

5×2 + 4 = 14

this is finite and a well-defined number.

2 - x, x = 2

2 - 2 = 0

this is again finite and well-defined.

but it is different from 14 above.

there is no multiplication factor or so that causes special values. so, there is no removable discontinuity. A is out.

none of the values at the point go to infinity, so there is no infinite discontinuity. B is out.

but yes, the functional value Suendenbock suddenly jumps at the point from 0 to 14 without any connection.

so, yes, it is a jump. C is right.

The number of hands that contain exactly 3 kings when 6 cards are randomly chosen are :

69,184

In a standard deck of playing cards, there are 52 cards, including 4 kings. To determine how many hands contain exactly 3 kings when 6 cards are randomly chosen, we'll use combinations.

First, we need to choose 3 kings from the 4 available kings:
C(4,3) = 4! / (3! * (4-3)!) = 4

Next, we need to choose the remaining 3 cards from the 48 cards that are not kings:
C(48,3) = 48! / (3! * (48-3)!) = 17,296

Now, multiply these two combinations together to find the total number of hands with exactly 3 kings:
4 * 17,296 = 69,184

So, there are 69,184 hands that contain exactly 3 kings when 6 cards are randomly chosen from a standard deck of playing cards.

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Answer:

The radius of the circle is 6.

Explanation:

Take the square root of 36.

Answer:

The answer is c.29

Step-by-step explanation:

I used Google xD

Answer:

Largest number = 29

Step-by-step explanation:

Let the consecutive numbers by (x + 1) ; (x + 2) and (x +3)

x +1 + x + 2 + x + 3 = 84         {Combine like terms}

x + x +x + 1  + 2 + 3 = 84

               3x + 6 = 84

                    3x = 84 - 6

                     3x = 78

                        x = 78/3

x = 26

Largest number = x + 3 = 26 + 3

                           =29

Answer: $2.40

Step-by-step explanation:

With simple multiplication, 18/3 is 6.

Since 0.75 is equivalent to 3/4, you can assume that 1.80 divided by 3 equals 60cents. 60x4 equals 240.

Answer:2.40

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

because y = 2x-1 you can plug in that for y

This gives 2x - 1 = x + 1

Subtract the x from the left and right, you get x - 1 = 1

Add the x on both sides you get x = 2

Answer:

Your answer is: x>-7/3

Interval Notation: (-7/3, ∞)

Step-by-step explanation:

Hope this helped : )

x > - 7/3

x ∈ ( - 7/3 ; +oo)

Hi there  !

- 3x + 8 < 15

- 3x < 15 - 8

- 3x < 7 | (-)

3x > - 7

x > - 7/3

x ∈ ( - 7/3 ; +oo)

Good luck !

The value of x for the given equation is -82.

The value of x for the given equation is -0.021.

(a) Given that:

x = (1 - bc - b)(da) - 1

Substitute the values for a = 9, b = 1, c = 3 and d = 3.

x = (1 - (1×3) - 1) (3×9) - 1

  = (1 - 3 - 1)(27) - 1

  = -3(27) - 1

  = -81 -1

  = -82

(b) Given an equation:

0.919 = (1 - x)⁻⁴

It is required to find the value of x.

0.919 = 1 / (1 - x)⁴       [Since, it is known that x⁻¹ = 1/x]

(1 - x)⁴ = 1/0.919

(1 - x)⁴ = 1.088

Taking the fourth root on both sides.

1 - x = 1.02134

x = 1 - 1.02134

x = -0.021

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Answer:

Mizuki is here to help you! The volume of the figure above is 176\(in^2\), but since you can only put numbers you need to put in 176.

Step-by-step explanation:

11 x 4 x 8 ÷ 2 =

44 x 8 ÷ 2 =

352 ÷ 2 =

176