a body moving with speed u stops after travelling a distance d on a rough surface if its speed is doubled how far will it travel

The values that satisfy the inequality -1/2x + 5>7 are -8 and -6.

To determine which values from the set {-8, -6, -4, -1, 0, 2} satisfy the inequality -1/2x + 5 > 7, we first need to isolate the variable x. Start by subtracting 5 from both sides of the inequality:

-1/2x > 2

Now, multiply both sides by -2 to solve for x. Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign:

x < -4

Now we can see that the inequality is asking for all values of x that are less than -4. Looking at the given set {-8, -6, -4, -1, 0, 2}, we can identify the values that satisfy this condition:

-8 and -6 are the values that are less than -4.

Therefore, the values from the set {-8, -6, -4, -1, 0, 2} that satisfy the inequality -1/2x + 5 > 7 are -8 and -6.

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Based on inequalities, the expected total revenue generated from the sale of portable household generators by all the enterprises that sold at least 60 portable household generators during the quarter is greater than R900,000.

Inequality represents a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted as:

The average selling price of a portable household generator = R15,000

The number of portable household generators sold during the quarter ≥ 60

The expected total revenue ≥ R900,000 (R15,000 x 60)

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Answer:

A

Step-by-step explanation:

(x-5)^2 = 3

Take the square root of both sides

You are now left with: x-5 = sqrt(3)

Add 5 to both sides

x= 5 + or - sqrt(3)

Answer: A

Step-by-step explanation:

(x - 5)^2 = 3

take square root of both sides

(x - 5) = +-sqrt 3

you can remove the parentheses

x - 5 = +-sqrt 3

isolate the x variable

x = +-sqrt 3 + 5

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-4)}}} \implies \cfrac{-2}{4 +4} \implies \cfrac{ -2 }{ 8 } \implies - \cfrac{1}{4}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- \cfrac{1}{4}}(x-\stackrel{x_1}{(-4)}) \implies y -3 = - \cfrac{1}{4} ( x +4) \\\\\\ y-3=- \cfrac{1}{4}x-1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{4}x+2 \end{array}}\)

The area is 264.63 square millimeters.

To find the area of the hendecagon, we need to know its apothem (the distance from the center of the circle to the midpoint of any side) and its perimeter (the total length of all 11 sides).

To find the apothem, we can draw radii from the center of the circle to the midpoint of each side of the hendecagon. This will divide the hendecagon into 22 congruent isosceles triangles. The apothem is the height of one of these triangles. To find the height, we can use the Pythagorean theorem:

height² + (7.46/2)² = (7.46)²

height² = (7.46)² - (7.46/2)²

height ≈ 6.44

So the apothem is approximately 6.44 millimeters.

To find the perimeter, we can multiply the length of one side (7.46 mm) by 11:

perimeter = 7.46 × 11 = 82.06

Now we can use the formula for the area of a regular polygon:

area = (apothem × perimeter) / 2

area = (6.44 × 82.06) / 2 ≈ 264.63

Therefore, the area of the hendecagon inscribed in the Susan B. Anthony dollar coin design is approximately 264.63 square millimeters. Rounded to the nearest hundredth, the area is 264.63 square millimeters.

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The sample mean is c) M=51.

To find the sample mean, we can use the formula for z-score:
                                              z = (X - M) / s

where:

In this case, we have two equations with two unknowns:

-0.25 = (M - 3 - M) / s
-0.75 = (44 - M) / s

Multiplying both sides of the first equation by s gives us:
-0.25s = M - 3 - M

Simplifying gives us:
-0.25s = -3

Next, we can multiply both sides of the second equation by s:
-0.75s = 44 - M

Now we can substitute the value of s from the first equation into the second equation:
-0.75(-3 / 0.25) = 44 - M

Simplifying gives us:
9 = 44 - M

Finally, we can solve for M:
M = 44 - 9
M = 35

So the sample mean is 35.

However, this answer is not one of the options given. It's possible that there was a mistake in the original question or in the calculations. Double-checking the calculations and the original question can help determine the correct answer. In this case, the correct answer is c. M=51.

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To model the area burned as a function of time, we can use the formula for the area of a circle, which is A = πr^2. In this case, the radius of the circle is given by r(t) = 2t + 1, where t represents time in minutes.

To find the area burned at any given time, we substitute the expression for r(t) into the formula for the area:

A(t) = π(2t + 1)^2

Now, let's simplify this equation step by step:

1. Expand the square:
A(t) = π(4t^2 + 4t + 1)

2. Distribute π to each term inside the parentheses:
A(t) = 4πt^2 + 4πt + π

So, the function modeling the area burned as a function of time is A(t) = 4πt^2 + 4πt + π.


We are given the radius of the circle of burning forest as r(t) = 2t + 1, where t is the time in minutes. To find the area burned, we need to use the formula for the area of a circle, which is A = πr^2. By substituting the expression for r(t) into the formula, we get A(t) = π(2t + 1)^2. Simplifying further, we expand the square and distribute π to each term inside the parentheses, resulting in A(t) = 4πt^2 + 4πt + π.


The function A(t) = 4πt^2 + 4πt + π models the area burned as a function of time, where t represents the time in minutes.

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Answer:

a = - 1/2b + 1/6w + 2/3

Step-by-step explanation:

w= 3(2a+b) - 4

Add 4 on both sides.

w + 4 = 3(2a+b)

Divide 3 into both sides.

w/3 + 4/3 = 2a+b

Subtract b on both sides.

w/3 + 4/3 - b = 2a

Divide 2 into both parts.

w/3/2 + 4/3/2 - b/2 = a

a = w/6 + 4/6 - b/2

a = 1/6w + 2/3 - 1/2b

Answer:

a=(w-3b+4)/6

Step-by-step explanation:

w= 3(2a+b) -4

w=6a+3b-4

6a= w-3b+4

a=(w-3b+4)/6

Answer:

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

Step-by-step explanation:

Please see the attached images for the full solution.

Note that when y is replaced with f(x), it is known as a function instead of an equation.

Therefore, at the given point (1, 1, 2, 4), ∂u/∂t = (ln(2) / 2) × ∂t/∂u, and ∂t/∂u cannot be determined from the given equation.

To calculate the partial derivatives ∂u/∂t and ∂t/∂u using implicit differentiation of the given equation, we'll differentiate both sides of the equation with respect to the variables involved, treating the other variables as constants.

Let's break it down step by step:

Given equation: (-2ln(-x) = ln(2)(tx - v) × 2ln(w - uv) = ln(2)

We'll differentiate both sides of the equation with respect to u and t, treating x, v, and w as constants.

Differentiating with respect to u:

Differentiate the left-hand side:

d/dt (-2ln(-x)) = d/dt (ln(2)(tx - v))

-2(1/(-x)) × (-1) × dx/du = ln(2)(t × du/dt - 0) [using chain rule]

Simplifying the left-hand side:

2(1/x) × dx/du = ln(2)t × du/dt

Differentiating with respect to t:

2ln(w - uv) × d/dt (w - uv) = 0 × d/dt (ln(2))

2ln(w - uv) × (dw/dt - u × dv/dt) = 0

Since the second term on the right-hand side is zero, we can simplify the equation further:

2ln(w - uv) × dw/dt = 0

Now, we substitute the given values (1, 1, 2, 4) into the equations to find the partial derivatives at that point.

At (1, 1, 2, 4):

-2(1/(-1)) × dx/du = ln(2)(1 × du/dt - 0)

2 × dx/du = ln(2) × du/dt

dx/du = (ln(2) / 2) × du/dt

2ln(w - uv) × dw/dt = 0

Since the derivative is zero, it doesn't provide any information about ∂t/∂u.

Therefore, at the given point (1, 1, 2, 4):

∂u/∂t = (ln(2) / 2) × ∂t/∂u

∂t/∂u cannot be determined from the given equation.

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Answer:

Option 4

125 × 125

Step-by-step explanation:

5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 125 × 125

Thus, 5⁶ = 125 × 125

-TheUnknownScientist

Answer: The second deal of 20 songs for $14.85 is the better deal, as it offers a lower price per song compared to the first deal of 15 songs for $11.50.

Step-by-step explanation: For the first deal, we are getting 15 songs for $11.50.

Price per song for the first deal = total cost / number of songs = $11.50 / 15 = $0.77 per song

For the second deal, we are getting 20 songs for $14.85.

Price per song for the second deal = total cost / number of songs = $14.85 / 20 = $0.74 per song

Answer:

20 iTunes songs for $14.85

Step-by-step explanation:

This is the best deal the only thing that changes is that it add 3 more dollars.

Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

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Answer: x^2 + 3x - 70 = 0

Step-by-step explanation:

The solutions of provide logarithmic equations are present in below :

1) x = 9 ; 2) x = 0 ; 3)p = 7/9 ; 4) k= 2 ; 5) a= -1 ; 6) r = -1/2 ; 7) n = 2 ; 8) x = 1/35 ; 9) m = -2 ; 10) x = 84 ; 11) v = -6, -6 ; 12) x = -4, -7

The logarithmic number is associated with exponent and power, such that if xⁿ = m, then it is equal to logₓ m = n. That is exponential value are inverse of logarithm values. Some basic properties of logarithmic numbers:

Now, we solve each logarithm equation one by one. Assume that 'log' is the base-10 logarithm where absence of base.

1) log (5x) = log (2x + 9)

Exponentiate both sides

=> 5x = 2x + 9

=> 3x = 9

=> x = 9

2) log (10 − 4x) = log (10 − 3x)

Exponentiate both sides,

=> 10 - 4x = 10 - 3x

simplify, => x = 0

3) log (4p − 2) = log (−5p + 5)

Exponentiate both sides,

=> 4p - 2 = - 5p + 5

simplify, => 9p = 7

=> p = 7/9

4) log (4k − 5) = log (2k − 1)

Exponentiate both sides,

=> 4k - 5 = 2k - 1

simplify, => 2k = 4

=> k = 2

5) log (−2a + 9) = log (7 − 4a)

Exponentiate both sides,

=> - 2a + 9 = 7 - 4a

simplify, => 2a = -2

=> a = -1

6) 2log₇( −2r) = 0

=> log₇( −2r) = 0

using the property, log꜀a = n <=> cⁿ = a

=> ( 7⁰) = - 2r

=> -2 × r = 1 ( since a⁰ = 1 )

=> r = -1/2

7) −10 + log₃(n + 3) = −10

=> log₃(n + 3) = −10 + 10 = 0

using the property, log꜀a = n <=> cⁿ = a

=> 3⁰ = n + 3

=> 1 = n + 3

=> n = 2

8) −2log₅ ( 7x ) = 2

=> log₅ 7x = -1

=> 5⁻¹ = 7x

=> x = 1/35

9) log( −m) + 2 = 4

=> log( −m) = 2

Exponentiate both sides,

=> -m = 2

=> m = -2

10) −6log₃ (x − 3) = −24

simplify, log₃ (x − 3) = 4

=> (x - 3) = 3⁴ ( since log꜀a = n <=> cⁿ = a )

=> x - 3 = 81

=> x = 84

11) log₁₂ (v²+ 35) = log₁₂ (−12v − 1)

=> log₁₂ (v²+ 35) - log₁₂ (−12v − 1) = 0

Using the quotient property of logarithm,

\(log_{12}( \frac{v²+ 35}{-12v-1}) = 0 \)

\(\frac{v²+ 35}{-12v - 1} = {12}^{0} = 1 \)

\(v²+ 35 = −12v − 1\)

\(v²+ 35 + 12v + 1 = 0\)

\(v²+12v + 36 = 0\)

which is a quadratic equation, and solve it by middle term splitting method,

\(v²+ 6v + 6v + 36= 0\)

\(v(v + 6) + 6(v + 6)= 0\)

\((v + 6) (6 + v)= 0\)

so, v = -6, -6

12) log₉(−11x + 2) = log₉ (x²+ 30)

=> log₉ (x²+ 30) - log₉(−11x + 2) = 0

Using the quotient property of logarithm,

\(log₉(\frac{x²+ 30 }{−11x + 2}) = 0\)

\( \frac{x²+ 30}{-11x + 2} ={9}^{0} = 1 \)

=> x² + 30 = - 11x + 2

=> x² + 11x + 30 -2 = 0

=> x² + 11x + 28 = 0

Factorize using middle term splitting,

=> x² + 7x + 4x + 28 = 0

=> x( x + 7) + 4( x + 7) = 0

=> ( x + 4) (x+7) = 0

=> either x = -4 or x = -7

Hence, required solution is x = -4, -7.

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Complete question:

kuta software infinite algebra 2 logarithmic equationsSolve each equation.

1) log 5x = log (2x + 9)

2) log (10 − 4x) = log (10 − 3x)

3) log (4 − 2) = log (−5 p + 5)

4) log (4k − 5) = log (2k − 1)

5) log (−2a + 9) = log (7 − 4a)

6) 2log₇ −2r = 0

7) −10 + log₃(n + 3) = −10

8) −2log₅ 7x = 2

9) log −m + 2 = 4

10) −6log₃ (x − 3) = −24

11) log₁₂ (v²+ 35) = log₁₂ (−12v − 1)

12) log₉(−11x + 2) = log₉ (x²+ 30)

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer:

The third number line where x = -2, 2

Step-by-step explanation:

The solution is, the number line represents the solutions is given below.

here, we have,

given equation is,

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

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Answer:

1000

Step-by-step explanation:

Answer:

y = 5x + 2 . . . . . . . . . . (1)

3x = -y + 10 . . . . . . . . (2)

3x = -(5x + 2) + 10

3x = -5x - 2 + 10                                            

3x + 5x = -2 + 10

8x = 8

x = 1

y = 5(1) + 2 = 5 + 2 = 7

Solution is (1, 7)                                     The answer is (1,7)

Step-by-step explanation:

Step-by-step explanation:

Perimeter = 2 * (Side A + Side B)

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

= 2 * (4x - 3)

= 8x - 6.

We have 8x - 6 = 50, so 8x = 56 and x = 7.

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

Answer:

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

Step-by-step explanation:

The total length of the rope in feet required by Patty to make a ladder is equal to 17.5 feet.

length of each piece of rope = 18 inches

Convert the length of the pieces of rope into feet.

One foot is equal to 12 inches

⇒ 18 inches =  18/12 feet

⇒ 18 inches = 1.5 feet.

Since Patty needs five of these pieces of rope.

The total length of rope needed for the steps is equal to,

5 x 1.5 = 7.5 feet

Patty also needs two pieces of rope that are each 5 feet long for the sides of the ladder.

Total length of rope needed for the ladder is,

2 x 5 = 10 feet

Add up the total length of all the pieces of rope required for the ladder,

7.5 + 10 = 17.5 feet

Therefore, Patty needs 17.5 feet of rope to make the ladder.

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The given question is incomplete, I answer the question in general according to my knowledge:

Patty is building a rope ladder for a tree house. She needs two 5-foot pieces of rope for the sides of the ladder. She needs 5 pieces of rope, each 18 inches long, for the steps. How many feet of rope does Patty need to make the ladder?

Answer:

prove that it doesn't even exist lol

Answer: its-134

Step-by-step explanation:

first you find both of the numbers then subtract the answers to both

"ba" = 11,

"ab" = 38,

38 - 11 = 27,

Sooooo... Now you have the value of "ba" and "ab."

Welcome!! <3

The correct answer is False because, If the sample size is large enough (n greater than or equal to 30) the sampling distribution is approximately normal regardless of the shape of the population.

The sample fraction, often called the "p-hat", is the ratio of the number of sample successes to the size of the sample. The standard deviation of (p) decreases as the sample size n increases. This is because n is included in the denominator of the standard deviation formula. That is, (p has) has fewer variables for larger samples. The P-hat (must be a lowercase p with a caret (^) circumflex) indicates the percentage of the sample (this is the x-bar, the average of the samples).

A p-hat (proportion) sampling distribution is a collection of equal-sized repeated sample proportions drawn from the same population to represent it. According to the central limit theorem, the sampling distribution of p-hat is approximately normally distributed for large sample sizes.

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