0.4 divided by 588.5

Answer:

Step-by-step explanation:

Answer:



Step-by-step explanation:

Given: The table of linear function.

x :  -3  , 0 , 3,  6

y :  -6 , -2 , 2,  6

Slope=change in y over change in x



Passing point: (0,-2)

Point slope form:







Slope of the linear function

Linear function is

Hence, The slope of linear function is

The slope of the given linear function which graph represents the data is 3/2.

The slope of a linear function can be calculated by finding the difference between two points on the graph and dividing it by the difference of the corresponding x-values of those points.

In this case, the two points are (2, -2) and (6, 4).

The difference between these y-values = 6,

and the difference between the x-values = 4.

Therefore, the slope of the linear function which graph represents the data = 6/4

= 3/2

This means that the linear function has a slope of 3/2 which summarizes that for every two units that x increases, y increases by three units.

If x increases from 0 to 4, y increases from -5 to 1, which is a difference of 6 units (4 x 3/2 = 6).

The linear function can be written as y = 3/2x -5.

This means that for any given x-value, the corresponding y-value can be calculated by multiplying 3/2 by the x-value and subtracting 5.

If x = 2, the y-value is -2,that is

(2* 3/2)- 5= -2

Therefore, the slope of the linear function which graph represents the data is 3/2.

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The correct answer is: 4.75; a puppy who is just born is predicted to weigh 4.75 ounces.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The equation of the line of fit is w = 4.75 + 0.5d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.

The w-intercept of the line of fit is the value of w when d = 0, that is, the predicted weight of a puppy when it is just born.

From the equation, we see that when d = 0, we have:

w = 4.75 + 0.5(0) = 4.75

Therefore, the w-intercept of the line of fit is 4.75 ounces, and its meaning in terms of the scenario is that a puppy who is just born is predicted to weigh 4.75 ounces.

So, the correct answer is: 4.75; a puppy who is just born is predicted to weigh 4.75 ounces.

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Answer:

94 marbles

Step-by-step explanation:

4512/48 = 94

The answer is: No, 0.7 mg is outside the allowable limits of the safe dosage range.

We are given an ordered dosage of 0.7 mg and the recommended maximum and minimum dosages of a drug, which are 0.35 mg and 0.175 mg respectively. We need to determine if the ordered dosage is within the allowable limits.

To determine if the dosage ordered is within the allowable limits, we can follow these steps:

Compare the ordered dosage to the recommended maximum and minimum dosages: The ordered dosage of 0.7 mg is higher than both the recommended maximum dosage of 0.35 mg and the minimum recommended dosage of 0.175 mg.

Determine if the ordered dosage falls within the allowable limits: Since the ordered dosage exceeds the recommended maximum dosage, it is outside the allowable limits of the safe dosage range.

Therefore, the answer is: No, 0.7 mg is outside the allowable limits of the safe dosage range.

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The straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

To find the straight-line distance from the wilderness area to the Morrisons' campsite, we can use the Pythagorean theorem.

Let's consider the campsite as the origin (0, 0) on a coordinate plane. The wilderness area is located 3 miles due north and 4 miles due east from the campsite. Therefore, its coordinates are (4, 3).

Using the Pythagorean theorem, the straight-line distance d is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates of the campsite (0, 0) and the wilderness area (4, 3) into the formula, we get:

d = √((4 - 0)² + (3 - 0)²)

= √(4² + 3²)

= √(16 + 9)

= √25

= 5

Therefore, the straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

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Answer:

distributive

Step-by-step explanation:

(x+y) (z) = xz+ yz    is distributive

Answer: X = - 5    

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2-1=1

?-2=2

7-?=3

11-7=4

16-11=5

22-16=6

? must be 2+2= 4 since its true in both cases

hope this helped!

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Here, we want to match what we have on the left with the expressions on the right.

(-4^9)^2

= -4^18

(4^6)^-3

= 4^-18 = 1/4^18 according to laws of indices

(4^0)^-9 = 4^0

(4^-3)^-3

= 4^9

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Answer: Infinitely many

The answer is infinitely many

This is because if the sides are parallel, the other measurements must be the same. They can be any measurement

Answer:

24 cm³

Step-by-step explanation:

2 × 3 × 4 = 24

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

6750

Step-by-step explanation:

i cant see a error but 1350x5=6750

Answer:

What is the question? But each night is $270.

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

-x=7

/-1 on each side

x=-7

Answer:

x= -7

Step-by-step explanation:

-x = 7

Divide each side by -1

-x/-1 = 7/-1

x = -7

The appropriate null hypothesis (H0) would be that the proportion of students who support sports passes being included in tuition is equal to or less than 50%. The alternative hypothesis (Ha) would be that the proportion is greater than 50%.

In hypothesis testing, the null hypothesis represents the default assumption, while the alternative hypothesis challenges this assumption. In this case, the null hypothesis (H0) would state that the proportion of students supporting sports passes being included in tuition is 50% or less (i.e., not more than half). The alternative hypothesis (Ha) would assert that the proportion is greater than 50%.

To express this formally, we can define the null and alternative hypotheses as follows:

H0: p ≤ 0.5

Ha: p > 0.5

Here, 'p' represents the true population proportion of students who support sports passes being included in tuition. The null hypothesis assumes that 'p' is 0.5 or less, while the alternative hypothesis suggests that 'p' is greater than 0.5.

By conducting hypothesis testing using the collected sample data, we can determine whether there is sufficient evidence to reject the null hypothesis and support the claim that more than half of the students support the inclusion of sports passes in tuition.

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The angle of the m=3 bright fringe in radians can be calculated using the formula θ = sin^(-1)(mλ/d), where θ is the angle, λ is the wavelength of light, d is the distance between the slits, and m is the order of the bright fringe.

Substituting the values given, we get θ = sin^(-1)((3)(550 nm)/(70 μm)).

First, we need to convert the wavelength to the same unit as the distance between the slits, which is 0.55 μm. Then we can convert the result to radians by dividing by 180/π.

The final answer is θ = 0.063 radians (rounded to three decimal places). This means that the m=3 bright fringe is located at an angle of approximately 3.61 degrees with respect to the central maximum.

This calculation is an example of the interference of light waves through a double-slit experiment, which demonstrates the wave nature of light.

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Answer:

x^2 +2xy +3y^2

Step-by-step explanation:

(x + 3y)(x - y)

Foil

first x*x = x^2

outer x*-y = -xy

inner 3y^x = 3xy

last 3y*y = 3y^2

Add them together

x^2 -xy +3xy +3y^2

Combine like terms

x^2 +2xy +3y^2

The correct option is Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction

Emanuel did a mistake in her first step by taking negative sign twice.

Positive results are obtained if the sign are same. If the signs disagree, the outcome is adverse. Addition: Keep in mind that a signed number's magnitude and absolute value are the same.

Multiplication and division appear to be more difficult than addition and subtraction, but they are actually far less challenging. The result of multiplying two positive or two negative numbers with the same sign, according to the rule, will always be positive.

For instance:

According to question,

= \(\left(\frac{3}{5}\right)\left(\frac{4}{9}\right)\left(-\frac{1}{2}\right)\)

Emanuel found the solution, but she erred in the first step. She incorrectly distributes the negative sign with both 1 and 2, as she should. We can write negative sign with either 1 or 2 but not both.

Correct steps are:

Step 1:

\(\frac{(3)(4)(-1)}{(5)(9)(2)}\)

Step 2:

\(\frac{-12}{90}\)

Step 3:

\(-\frac{2}{15}\)

Therefore, the step 1 was miscalculated by Emanuel.

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The complete question is -

Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)

Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction Step 2 StartFraction negative 12 over negative 90 EndFraction

Step 3 StartFraction 12 over 90 EndFraction

Step 4 StartFraction 2 over 15 EndFraction

In which step did his first error occur?

Answer:

\(v^{7}\) x (6v+7) x (3v+2)

Step-by-step explanation:

18v^9 + 33v^8 +14v^7

Factor out v^7 from the expression

v^7 x (18v^2+33v+14)

write 33v as a sum

v^7 x (18v^2+21v+12v+14)                  *like this 21v+12v

Factor out 3v from the expression

v^7 x (3v x (6v+7)+12v+14)

Factor out 2 from the expression

c^7 x (3v x (6v+7)+2(6v+7)

Factor out 6v+7 from the expression

v^7 x (6v+7) x (3v+2)

Answer:

Since the full capacity is 30 litres, all we need to do is 30 - 15 which equals 15 litres.

If he does not wish to fill up his bag instead of 15 videogames (the max amount.), he can put 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, or 1.

Hope that helps. x

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

While using bisection method to find the solution of the equation f(x)=x⁴ +3x-2=0 on interval [0, 1], after the first step of the bisection method, the interval becomes [0.5, 1].

To use the bisection method to find the solution of the equation f(x) = x⁴ + 3x - 2 = 0 on the interval [0, 1], we start by evaluating the function at the endpoints of the interval.

f(0) = 0⁴ + 3(0) - 2 = -2

f(1) = 1⁴ + 3(1) - 2 = 2

Since the function changes sign on the interval [0, 1] (f(0) < 0 and f(1) > 0), we can conclude that there is at least one root within this interval.

The bisection method involves iteratively dividing the interval in half and selecting the subinterval where the function changes sign. In each iteration, we calculate the midpoint of the interval and evaluate the function at that point.

After the first step, we find the midpoint of the interval [0, 1]:

midpoint = (0 + 1) / 2 = 0.5

We then evaluate the function at the midpoint:

f(0.5) = (0.5)⁴ + 3(0.5) - 2 = -0.375

Since f(0.5) is negative, we can update our interval to [0.5, 1]. The new interval now contains the root of the equation.

This updated interval allows us to continue the bisection method and refine our approximation of the root of the equation f(x) = x⁴ + 3x - 2 = 0 within the specified interval.

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Answer:

238,858 is the answer to your question

Answer:

23858

Step-by-step explanation:

92589230-92350372=23858

Thus, the answer is option (c) 97 mph.

An outlier is a value that lies significantly away from the rest of the values in the dataset. For a given dataset, we can determine outliers using z-scores.According to the problem statement, the mean speed of the fastballs thrown by major league baseball pitchers is 87 mph, and the standard deviation is 3 mph. To determine which speed is an outlier, we need to find its corresponding z-score.z = (x - μ) / σHere, x is the speed we want to test, μ is the mean speed, and σ is the standard deviation of speeds.Using the formula above, we can calculate the z-scores for each speed given in the options:a. z = (84 - 87) / 3 = -1b. z = (92 - 87) / 3 = 1.67c. z = (97 - 87) / 3 = 3.33d. z = (81 - 87) / 3 = -2Since a z-score of ±2 or higher is generally considered an outlier, the speeds of 97 mph and 81 mph are classified as outliers. Thus, the answer is option (c) 97 mph.

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To find the circumference of a circle with a radius of 7 cm, Erin should use 2×7×π. This is because the circumference of a circle is calculated by the formula 2×π×r.

The circumference is the measure of the perimeter of a circle. Since we know that from every point on the circle to its center has an equal length and is said to be its radius, the perimeter of the circle we can write as

Circumference = 2 × π × r units.

Here r is the radius of the circle.

It is given that Erin wants to find the circumference of a circle with a radius of 7 cm.

So, first, she has to know the formula for finding the circumference.

Here the radius is given as 7 cm i.e., r = 7 cm

Then, the circumference of the given circle is

= 2 × π × r

On substituting the radius value into the above formula, we get

Circumference = 2 × π × 7 cm

⇒ 14π cm

So, she needs to use option A. 2 × 7 × π  for finding the required circumference. This is the first step for finding the circumference of a circle.

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ANSWER

EXPLANATION

Let the two points be (2, 4) and (3, 9).

The general form of the equation of a straight line is given by:

where m = slope

b = y-intercept

First, we have to find the slope of the line using the formula:

where (x1, y1) and (x2, y2) are the two points that the line passes through

Therefore, the slope of the line is:

Now, we find the equation of the line using the point-slope method:

Therefore, the equation of the line is:

The scale would show the weight that is closest to the actual weight of the peaches, whether it is 4.158 or 4.168 pounds.

What is measurement?

Measurement is the process of assigning numerical values to physical quantities such as length, mass, time, temperature, and many others.

It depends on the actual weight of the peaches. If the weight of the peaches is closer to 4.158 pounds, then the scale would show 4.158 pounds. Similarly, if the weight of the peaches is closer to 4.168 pounds, then the scale would show 4.168 pounds.

Since the scale can measure weight to the nearest thousandth of a pound, it can differentiate between weights that differ by one-thousandth of a pound.

Therefore, the scale would show the weight that is closest to the actual weight of the peaches, whether it is 4.158 or 4.168 pounds.

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Answer:P= 16 + 2\|65 units; A= 56 units2

Step-by-step explanation: