Can someone please help me with this

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

75 grams

Step-by-step explanation:

I have in on rsm and i put it in and its right :)

Answer:

501 sacks

Step-by-step explanation:

please mark me as brainlest

Since ab > 0, it is clear that the discriminant D > 0. Therefore, the equation ax^2 + bx + c = 0 has two distinct real roots.

Since 4a + 2b + c = 0, we can rewrite c as c = -4a - 2b. Substituting this into the quadratic equation ax^2 + bx + c = 0 gives ax^2 + bx - 4a - 2b = 0. Factoring out an 'a' gives a(x^2 + (b/a)x - 4) - 2b = 0.

Since ab > 0, we know that a and b must have the same sign. This means that either both a and b are positive or both a and b are negative. In either case, (b/a) is negative. So we can rewrite the equation as a(x^2 - |(b/a)|x - 4) - 2b = 0.

To solve for the roots of the equation, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. Plugging in the coefficients, we get x = (-b ± √(b^2 - 4a(-4a-2b))) / 2a, which simplifies to x = (-b ± √(b^2 + 16ab)) / 2a.

Since ab > 0, we know that b^2 + 16ab > 0. Therefore, the quadratic equation ax^2 + bx + c = 0 has two real roots.

Based on the information provided, let's consider the equation ax^2 + bx + c = 0, where a, b, and c are real numbers and 4a + 2b + c = 0. Since ab > 0, both a and b have the same sign (either both positive or both negative).

The given equation can be rewritten as a quadratic equation in the standard form:

ax^2 + bx + c = 0

Using the discriminant formula, D = b^2 - 4ac, we can analyze the nature of the roots of the quadratic equation. Given that 4a + 2b + c = 0, we can express c as:

c = -4a - 2b

Now, let's plug this value of c into the discriminant formula:

D = b^2 - 4a(-4a - 2b)

D = b^2 + 16a^2 + 8ab

Since ab > 0, it is clear that the discriminant D > 0. Therefore, the equation ax^2 + bx + c = 0 has two distinct real roots.

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Answer:

72 degrees

Step-by-step explanation:

A pentagon has five lines of symmetry. For rotation symmetry, the order of any regular polygon is the number of sides. The angle of rotation would be 360 degrees divided by that order. Therefore, the answer is 72 degrees.

Answer:

Answer A

Step-by-step explanation:

It gives the answer of 23.45

Answer:

Below

Step-by-step explanation:

●(xy)^(-1)

● x^(-1) * y^(-1)

● (1/x)*(1/y)

● 1/xy

Answer:

(5, 8.66)

Step-by-step explanation:

Let x represent the x coordinate of the clock tip and y represent the y coordinate of the clock tip.

At 12:05 pm, the clock tip forms an angle of 60° with the x axis. Therefore:

θ = 60°

\(tan\theta=\frac{y}{x} \\\\tan60=\frac{y}{x} \\\\y=1.732x\\\\y-1.732x=0\ \ \ (1)\)

Since the minute hand is 10 inches long, hence:

\(\sqrt{x^2+y^2}=10\\\\x^2+y^2=100\\\\substituting\ y=1.732x, gives\\\\x^2+(1.732x) ^2=100\\\\x^2+3x^2=100\\\\4x^2=100\\\\x^2=25\\\\x=5\)

To find y, substitute x = 5:

y = 1.732(5) = 8.66

This means that the coordinate of the tip of the minute hand at: 12:05 p.M. is (5, 8.66)

First: info on point-slope form.

We need to find the slope of the line first.

\(m = \frac{2 + 1}{5 - 1} = \frac{3}{4}\)

Slope: \(\frac{3}{4}\)

Now we can complete the point-slope equation of the line.

\(y - (-1) = \frac{3}{4}(x - 1)\\\\y + 1 = \frac{3}{4}(x - 1)\)

*These equations are equivalent.

Answer:

$17.04

Step-by-step explanation:

After a stock split, the number of shares a shareholder owns is increased, while the value of each share is decreased. In this case, Lea's shares were increased by a factor of 5/2 = 2.5 times. Therefore, Lea's number of shares after the split was 800 * 2.5 = 2000 shares.

The value of each share after the split is decreased by a factor of 2/5 = 0.4 times. Therefore, the post-split price per share was $42.60 * 0.4 = $17.04.

Therefore, after the stock split, Lea had 2000 shares worth $17.04 each.

Answer:

Segment RW congruent to segment XY

Step-by-step explanation:

SAS means side-angle-side.

You are given two congruent angles, so you already have the angle you need for SAS.

By the reflexive property, side XW is congruent to itself, so now you have a side also.

You need another pair of sides, but the two sides must include the angle.

Answer: Segment RW congruent to segment XY

Answer: C. is not correct because angle 2 and angle 5 are same side interior angles. Same side interior angles of parallel lines always add up to 180 degrees. Therefore, the only way angle 2 would be equal to angle 5 would be if they were both 90 degrees, which the two angles are not always right angles.

Answer:

D:  (-3, 0, 2, 9)

R: (4, 6, 7)

This relationship is a function as there are no two input that have the same output.

Step-by-step explanation:

This relationship is a function as there are no two input that have the same output.

The range is the second output (y-value) which is (4, 6, 7).

The domain is the first element (x-value) of a relation or function which is (-3, 0, 2, 9)

Hope this helps!

Rational my guy. Hope you pass ur exams

Answer:

The number 14 is a fraction, and fractions are ratios, and ratios are ratio-nal numbers!

Answer:

b = 1/3

Step-by-step explanation:

Here, we want to solve for the value of b

From the question, we have that;

4^(3b-3) = 1/16

4^(3b-3) = 16^-1

4^(3b-3) = 4^2(-1)

4^(3b-3) = 4^-2

Since base are equal, equate the powers

3b - 3 = -2

3b = -2 + 3

3b = 1

b = 1/3

Answer: Open the image 1 wrote the numbers on top.

Step-by-step explanation:

Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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Answer:

the answer is 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length : Breadth : height = 3 : 4 : 6

Length = 3x

Breadth = 4x

Height = 6x

Volume of cuboid = 576 sq.cm

length * breadth * height = 576

3x * 4x * 6x = 576

       72x³   = 576

             x³ = 576/72

            x³ =   8

            x³ = 2³

x = 2

Length = 3*2 = 6 cm

Breadth = 4* 2 = 8 cm

Height = 6*2 = 12 cm

Total surface area = 2*(lb + bh + hl)

                             = 2 * (6*8 + 8*12 + 12*6)

                            = 2 * (48 + 96 + 72)

                            = 2 * 216

                            = 432 sq.cm

There is sufficient evidence at the 0.02 level to substantiate the hospital director's claim that more than 58% of the lab reports contain errors.

To determine if there is sufficient evidence to substant

ate the hospital director's claim, we can set up the null and alternative hypotheses and perform a hypothesis test.

Null hypothesis (H₀): The proportion of lab reports containing errors is equal to or less than 58%.

Alternative hypothesis (H₁): The proportion of lab reports containing errors is greater than 58%.

z = (p - p₀) / √((p₀ * (1 - p₀)) / n)

where:

p is the sample proportion of errors (195/300 = 0.65)

p₀ is the hypothesized proportion (0.58)

n is the sample size (300)

Let's calculate the test statistic and compare it with the critical value for the significance level α = 0.02.

z = (0.65 - 0.58) / √((0.58 * (1 - 0.58)) / 300)

z ≈ 2.05

We will use the significance level α = 0.02, which represents the probability of rejecting the null hypothesis when it is true.

To test the hypothesis, we can use the one-sample proportion test (also known as a one-sample z-test). The test statistic can be calculated using the formula:

Looking up the critical value for α = 0.02 (one-tailed test) in the standard normal distribution table, we find it to be approximately 2.05.

We can reject the null hypothesis since the test statistic (2.05) is greater than the crucial value (2.05) As a result, there is enough evidence at the 0.02 level to support the hospital director's allegation that more than 58% of lab reports contain errors.

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We cannot prove that the quadrilateral is a parallelogram with only the given information that AB = DC.

What is quadrilateral and parallelogram ?

A quadrilateral is a four-sided polygon, which means it is a closed shape with four straight sides. Some examples of quadrilaterals include rectangles, squares, trapezoids, and rhombuses.

A parallelogram is a special type of quadrilateral where both pairs of opposite sides are parallel. This means that the opposite sides never intersect, and they have the same slope. Additionally, the opposite sides of a parallelogram are congruent (i.e., have the same length), and the opposite angles are also congruent. Some examples of parallelograms include rectangles, squares, and rhombuses.

To prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. Knowing that AB = DC only gives us information about the lengths of the sides, but it doesn't tell us anything about their orientation or whether they are parallel.

We would need additional information, such as the measures of angles or the lengths of other sides, to determine whether the quadrilateral is a parallelogram.

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Answer:

see explanation

Step-by-step explanation:

f(3) means what is the value of f(x) when x = 3

substitute x = 3 into f(x)

f(3) = 10(3) + 13 = 30 + 13 = 43

similarly for x = - 8

f(- 8) = 10(- 8) + 13 = - 80 + 13 = - 67

given f(x) = 10x + 13 and f(x) = 53 , equate the right sides

10x + 13 = 53 ( subtract 13 from both sides )

10x = 40 ( divide both sides by 10 )

x = 4

The power p that makes the equation dimensionally consistent is 1.

Power can be defined as the amount of work completed in a given time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power.

To determine the power of p that makes the equation dimensionally consistent, we must analyze the dimensions of each term in the equation.

Let's look at the dimensions of the variables involved:

Velocity \((v): [L][T]^{-1}\) (dimension of length divided by time)

Acceleration (a): \([L][T]^{-2}\) (dimension of length divided by time squared)

Distance (x): [L] (dimension of length)

Now, let's analyze each term in the equation:

\(v^2: [L]^2[T]^{-2} \\ 2a: [L][T]^{-2} \\ x^p: [L]^p\)

For the equation to be dimensionally consistent, the dimensions of the left-hand side (v²) should be equal to the dimensions of the right-hand side

\((2ax^p)\)

Comparing the dimensions of the two sides, we have:

\([L]^2[T]^{-2} = [L][T]^{-2}[L]^p\)

On the left-hand side, we have dimensions of length squared divided by time squared, while on the right-hand side, we have dimensions of length to the power of (1 + p) divided by time squared.

Since the dimensions must be equal, we can equate the exponents of the length and time terms:

2 = 1 + p (from the exponents of [L] and [T])

Solving for p:

p = 2 - 1

p = 1

Therefore, the power p that makes the equation dimensionally consistent is 1.

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Through applying the principle of dimensional analysis, it is determined that 'p', the power making the expression v^2 = 2ax^p dimensionally consistent, equals 1.

The given relation is v^2 = 2ax^p. Here, the left side (v^2) has dimensions of (Length^2/Time^2), the right side 2a has dimensions of (Length/Time^2) and x^p has dimensions of (Length^p). For the equation to be dimensionally consistent, the dimensions on both sides must be equal.

Therefore, we have (Length^2/Time^2) = (Length/Time^2) * (Length^p), which simplifies to Length^2 = Length^(1+p). For these two to be equal, p must equal 1.

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Answer:

-3 is the coefficient of x here

Step-by-step explanation:

The first thing to do here is to open the brackets.

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

x^2 + 2x -5x -10

x^2 -3x -10

When we say the coefficient of x, we mean the value by which x only is multiplied by in the equation. That would be -3

This must not be confused with the coefficient of x^2 which is entirely different from the coefficient of x

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

The total amount of the bill is $102.59625.

Percentage is defined as the parts of a number per fraction of 100 or a part per 100.

Percentage is usually denoted by the symbol '%'.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Given that,

Amount of bill for a restaurant = $81.75

Percentage of sales tax = 7.5%

Amount of sales tax = 7.5% of $81.75

                                 = 7.5% × 81.75

                                 = 0.075 × 81.75

                                 = $6.13125

Percentage of gratuity = 18%

Amount of gratuity = 18% of $81.75

                               = 18% × 81.75

                               = 0.18 × 81.75

                               = $14.715

Total amount in the bill = $81.75 + $6.13125 + $14.715

                                       = $102.59625

Hence the total bill from the restaurant is $102.59625.

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The particular solution for the given non-homogeneous system of first-order linear differential equations is:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)

To find the particular solution for the non-homogeneous system of first-order linear differential equations, we need to substitute the given values into the system and solve for the unknown coefficients.

The given system is:

\(Y' = 54 - 5x^2 + 6x + 25\\Y(0) = 12 - x^2 + 2x + 4\)

Differentiating the second equation, we have:

\(Y'(0) = -2x + 2\)

Now, let's substitute these values into the first equation:

\(Y' = 54 - 5x^2 + 6x + 25\)

Since there are no derivatives of Y in the equation, we can integrate both sides with respect to x to find the particular solution:

\(\int Y' dx = \int (54 - 5x^2 + 6x + 25) dx\)

Integrating each term separately, we get:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + C\)

Now, using the initial condition\(Y(0) = 12 - x^2 + 2x + 4\), we can substitute x = 0 and \(Y = 12 - x^2 + 2x + 4\) into the equation to solve for the constant C:

\(12 - 0 + 2(0) + 4 = 54(0) - (5/3)(0^3) + 3(0^2) + 25(0) + C\)

16 = C

C= 16

Therefore, the particular solution for the given non-homogeneous system of first-order linear differential equations is:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)

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Answer:

The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.

Step-by-step explanation:

4:420 with current

6:420 against current

so we can do

420/4 and 420/6

105 and 70

2s - 0c = 105

s = 87.5 km/hour

87.5 + c = 105

c = 17.5 km/hour

Speed of the boat in still water is 87.5 km/hr and speed of the current is 17.5 km/hr.

A boat moving along the direction of the stream is called downstream. The net speed of the boat in this case is called downstream speed.

A boat moving in the direction opposite to the direction of the stream is called upstream. The net speed of the boat in this case is called upstream speed.

For the given situation,

Let’s assume the speed of the boat in still water be x km/hr

And the speed of the current be y km/hr.

So, the speed of the boat in downstream = (x+y) km/hr.

The speed of the boat in upstream = (x−y) km/hr

The formula to find the speed is Distance = Speed×Time

Distance traveled = 420 km

Time taken to sail in downstream = 4 hours

Time taken to sail in upstream = 6 hours

Now, according to the given situation, we have the equation 1 as,

\(420=(x+y)4\)

⇒ \(x+y=105\) and

the equation 2 as, \(420=(x-y)6\)

⇒ \(x-y=70\)

On adding equations 1 and 2 we get, \(2x=175\)

⇒ \(x=87.5\)

On substituting the value of x in equation 1, we get

⇒ \(87.5+y=105\)

⇒ \(y=17.5\)

Hence we can conclude that the speed of the boat in still water is 87.5 km/hr and speed of the current is 17.5 km/hr.

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