what is the unit price for a 14.2- ounce bottle that costs $3.98

Answer:

m= 18g

Step-by-step explanation:

m = 18 × g

The coordinates of P are (-0.82, 3.56).

The coordinates of M are (-2.1, -2.2).

The midpoint of a line segment is written as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) are the coordinates of the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

R = (4.3, 7.4)

T= (-8.5, -2.2)

S = (4.3, -2.2)

Segment RT is divided into 5 equal parts.

So,

TP : PR = 3 : 2 = m : n

The coordinates of P.

T= (-8.5, -2.2) = (a, b)

R = (4.3, 7.4) = (c, d)

x = \(\frac{mc + na}{m + n}\)

x = \(\frac{3\times4.3 + 2\times-8.50}{5}\)

x = \(\frac{12.9 - 17}{5}\)

x = \(\frac{-4.1}{5}\)

x = -0.82

And,

y = \(\frac{md + nb}{m + n}\)

y = \(\frac{3\times7.4 + 2\times-2.2}{5}\)

y = \(\frac{22.2 - 4.4}{5}\)

y = 3.56

The coordinates of P are (-0.82, 3.56).

Now,

T= (-8.5, -2.2)

S = (4.3, -2.2)

M is the midpoint of TS.

So,

M = (x, y)

x = \(\frac{(4.3 - 8.5)}{2}\) = \(\frac{x-4.2}{2}\) = -2.1

y = \(\frac{-2.2 - 2.2}{2}\) = \(\frac{-4.4}{2}\) = -2.2

M = (x, y) = (-2.1, -2.2)

Thus,

The coordinates of P = (-0.82, 3.56).

The coordinates of M = (-2.1, -2.2).

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Answer:

The answer is (-3.38,1.64),(-0.82,-2.2)

Step-by-step explanation:

I just got it right on the test

The Interstate 90 freeway in the US is (D) 123.9 miles.

Therefore, the Interstate 90 freeway in the US is (D) 123.9 miles.

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Correct question:

i-90 is the longest freeway in the us, stretching from Seattle to Boston. how many miles is it?

a. 248.1

b. 302.1

c. 437.1

d. 123.9

The equation of slope-intercept form the line passing through (0,0) and (2,5) will be y = ( 5 / 2 )x. The correct option is C.

What is slope-intercept form explain?

m = ( y₂ - y₁) / ( x₂ - x₁ )

m = ( 5 - 0 ) / ( 2 - 0 )

m = ( 5 / 2 )

y = ( 5 / 2)x + c

0 = 0 + c

c = 0

Y = ( 5 / 2)x

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the answers are

1) all 3 angles

2) all 3 angles

3) similar

Answer: {(-5, 6), (-3, 13), (-14, 30)} is a function

{(12, 12), (12, 13), (12, 14)} and {(1, 3), (4, 5), (4, 9), (6, 19)} are not a function

Answer:

the second set

Step-by-step explanation:

You cannot have the same number in your domain twice.

Answer:

Step-by-step explanation:

To determine whether 5x + 30 = 45 - 4x is equivalent to 9x = 15, we need to find the value of x that makes both equations true.First, let's solve the equation 5x + 30 = 45 - 4x for x. We can do this by adding 4x to both sides of the equation to get:5x + 4x + 30 = 45

9x + 30 = 45Subtracting 30 from both sides gives us:9x = 15This is the same as the equation 9x = 15, so we can conclude that the two equations are equivalent.

Similar: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

____________________________________________________________

Congruent: SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

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Answer: less

Step-by-step explanation:

Answer:     The answer is less than  

because negative are always less than positives

Step-by-step explanation:

I hope this helps

Answer:

90

Step-by-step explanation:

The correct answer is regardless of the depth, the water is rising at a constant rate of 5 ft/min.

To solve this problem, we can use related rates and the formula for the volume of a cone:

\(V = (1/3)\pi r^2h,\)

where V is the volume, r is the radius, and h is the height.

Given:

Depth of the cone (h) = 40 ft

Radius at the top (r) = 20/2 = 10 ft

Rate of filling (dh/dt) = 20 ft/min

To find the rate at which the water is rising (dh/dt) at different depths, weneed to find the relationship between the height (h) and the radius (r) of the water in the cone.

Let's denote the radius of the water at any height h as x.

Since the cone is inverted, we have similar triangles formed by the entire cone and the water in it. So, we can set up a proportion:

x / r = h / 40.

From this proportion, we can express x in terms of r and h:

x = r * (h / 40).

We can differentiate both sides of this equation with respect to time (t):

dx/dt = (dr/dt) * (h / 40) + r * (dh/dt) / 40.

We know the rate of filling (dh/dt) is 20 ft/min, and since the radius (r) is constant at 10 ft, dr/dt = 0.

Therefore, the equation simplifies to:

dx/dt = (10 * 20) / 40 = 5 ft/min.

Now we can substitute the values of h to find the rate at which the water is rising:

1 foot:

dx/dt = 5 ft/min.

10 feet:

dx/dt = 5 ft/min.

39 feet:

dx/dt = 5 ft/min.

So, regardless of the depth, the water is rising at a constant rate of 5 ft/min.

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Answer:

8/3 or 2 2/3 gallons of paint

Step-by-step explanation:

If 2/3 of paint covers 1/4 of the wall, you must multiply 2/3 by 4 to get 4/4 (the whole wall).

2/3 x 4 = 8/3 or 2 2/3

Answer:

Solve it, you can do it!

Step-by-step explanation:

Multiply 4 2/3 and then divide what you get with 7

Answer:

1.5 or 1 1/2

Step-by-step explanation:

4 2/3 / 7

14/3 / 7

3 * 7 = 21

21/14 =

1.5

edit 1: i changed the / to an or to make it less confusing

Answer:

-4,-3

Step-by-step explanation:

Answer: I can't see the 4th answer but i and going to guess it's (-4,-3).

I think you answer is D. (-4,-3).

I hope it's right

Answer:

3x-8

Step-by-step explanation:

15x^2 - 22x - 48 / 5x + 6

15x^2 / 5x = 3x

-48 / 6 = -8

3x-8

Hope this helps :)

The area of the shaded region based on the information will be 201cm².

It should be noted that the radius of the outer circle will be:

= Diameter / 2

= (8 + 8 + 4 + 4)/2

= 24 / 2

= 12cm

The area of the circle = πr²

= 3.14 × 12²

= 3.14 × 144

= 452.16 cm²

The area of the circle with radius 8cm = 200.96 cm²

The area of the circle with radius 4cm =50.24cm².

The area of the shaded region:

= 452.16 - 200.96 - 50.24

= 200.96 cm²

Therefore, the area of the shaded region based on the information will be 201cm².

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Answer:

1. 4

2. 4

3. 1.5

Step-by-step explanation:

1. Because the upper right angle is 90 this also must be 90, so x=4

I don’t know how to explain the other two they are kinda self explanatory

I hope these help and I would love a brainliest :)

The standard form of the equation is: 155x - (11625/80)y = 1831.

To convert the given equation to standard form by completing the square on both x and y, we need to rearrange the terms and group the x-terms together and the y-terms together. Then we can complete the square for each variable separately. Let's proceed with the equation:

16x + 25y - 96x + 50y - 231 = 0

Combining like terms:

(-80x + 75y) - 231 = 0

Now, let's complete the square for the x-terms:

-80(x - (75/80)y) = 231

We need to find a value, c, to add to both sides of the equation to complete the square. The value of c can be calculated as (b/2a)^2, where b is the coefficient of x, and a is the coefficient of (x - (75/80)y).

In this case, b = -80, and a = -80/80 = -1. Plugging in these values:

c = (-80/2(-1))^2

c = 40^2

c = 1600

Adding c to both sides of the equation:

-80(x - (75/80)y) + 1600 = 231 + 1600

-80(x - (75/80)y) + 1600 = 1831

Now, let's complete the square for the y-terms:

75(y + (80/75)(x - (75/80)y)) = 1831

We need to find a value, d, to add to both sides of the equation to complete the square. The value of d can be calculated as (b/2a)^2, where b is the coefficient of y, and a is the coefficient of (y + (80/75)(x - (75/80)y)).

In this case, b = 75, and a = 75/75 = 1. Plugging in these values:

d = (75/2(1))^2

d = 37.5^2

d = 1406.25

Adding d to both sides of the equation:

75(y + (80/75)(x - (75/80)y)) + 1406.25 = 1831 + 1406.25

75(y + (80/75)(x - (75/80)y)) + 1406.25 = 3237.25

Now, we can simplify the equation:

75(y + (80/75)x - (75/64)y) + 1406.25 = 3237.25

75(1 + 80/75)(x - (75/80)y) + 1406.25 = 3237.25

75(155/75)(x - (75/80)y) + 1406.25 = 3237.25

155(x - (75/80)y) + 1406.25 = 3237.25

155x - (11625/80)y + 1406.25 = 3237.25

Finally, we can write the equation in standard form:

155x - (11625/80)y = 3237.25 - 1406.25

155x - (11625/80)y = 1831

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The managerial approach that sees employees as the driving force behind the organization is likely to be organizational behavior. This approach focuses on understanding and managing human behavior in the workplace to improve employee satisfaction and productivity.

It also emphasizes the importance of leadership, communication, and teamwork to achieve organizational goals. While workplace diversity, quantitative analysis, and total quality management are also important considerations in managing a successful company, they may not necessarily prioritize the role of employees in the same way as organizational behavior does.

By recognizing the significance of employees and their impact on organizational outcomes, companies adopting the organizational behavior approach strive to create a culture that values and supports their employees' contributions and well-being.

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To solve the given problems, we can use the Poisson distribution with parameter μ = 20. The probability mass function (PMF) of the Poisson distribution is given by P(X = k) = (e^{-μ} * μ^{k}) / k!, where X is the random variable representing the number of drivers.

(a) To find the probability that the number of drivers will be at most 19, we sum the probabilities from 0 to 19:

P(X ≤ 19) = Σ P(X = k) for k = 0 to 19.

(b) To find the probability that the number of drivers will exceed 29, we sum the probabilities from 30 to infinity:

P(X > 29) = Σ P(X = k) for k = 30 to infinity.

(c) To find the probability that the number of drivers will be between 19 and 29, inclusive, we sum the probabilities from 19 to 29:

P(19 ≤ X ≤ 29) = Σ P(X = k) for k = 19 to 29.

To find the probability that the number of drivers will be strictly between 19 and 29, we subtract the probability of being exactly 19 and exactly 29 from the above result.

(d) To find the probability that the number of drivers will be within 2 standard deviations of the mean value, we need to calculate the mean (μ) and standard deviation (σ) of the Poisson distribution. The mean of a Poisson distribution is equal to its parameter μ, and the standard deviation is the square root of the parameter μ. Then, we calculate the probabilities for the range (μ - 2σ) to (μ + 2σ).

By plugging in the values and using the appropriate formulas, we can compute the probabilities as per the given instructions.

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Answer:

6/12

Step-by-step explanation:

all of the other 3 equal 8/12

Answer:

A and E

Step-by-step explanation:

7 1/2 / 2 = 15/4

A. 2 x X = 7 1/2

x = 15/4

E. X x 2= 7 1/2

x = 15/4

Population having expression Pn+1 = 1.04(Pn - G), there were approximately 220,863 moose in Alaska at the beginning of 2017.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and operators that represents a mathematical quantity or relationship. Expressions can be composed of numbers, variables, and operators such as addition, subtraction, multiplication, division, and exponentiation.

Now,

We are given that:

At the beginning of 2015 (n = 0), P0 = 200,000

At the beginning of 2016 (n = 1), P1 = 200,720

The formula for calculating the number of moose at the start of the following year is Pn+1 = 1.04(Pn - G), where G is a constant.

To find the value of P2 (the number of moose at the beginning of 2017), we can use the formula with n = 1:

P2 = 1.04(P1 - G)

We need to find the value of G. We can use the information given to us at the beginning of 2015 and 2016 to form two equations:

P1 = 1.04(P0 - G)

P2 = 1.04(P1 - G)

We can use substitution to solve for G. Rearranging the first equation, we get:

P0 - G = (P1/1.04)

G = P0 - (P1/1.04)

Substituting this expression for G into the second equation, we get:

P2 = 1.04(P1 - (P0 - (P1/1.04)))

Simplifying and solving for P2, we get:

P2 = 220,863 (rounded to the nearest whole number)

Therefore,

                there were approximately 220,863 moose in Alaska at the beginning of 2017.

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Answer:

what does T equal

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

Answer:143

Step-by-step explanation:

it is 143 if you add 65+78

The solution of the following equations are:

a.  lim
x→3
​ x+1 = 2.

b. lim
x→0
​ xsin(x) = 0.

c.  g(x) also exists and is equal to L.

a. To provide an ε,δ proof of lim
x→3
​
x+1
​
 = 2, we need to show that for any ε > 0, there exists a δ > 0 such that whenever 0 < |x - 3| < δ, then |x + 1 - 2| < ε.

Let's start by expressing |x + 1 - 2| as |x - 1|. We want to find a δ such that whenever 0 < |x - 3| < δ, then |x - 1| < ε.

Consider ε > 0. We can choose δ = ε. Then, if 0 < |x - 3| < δ, we have |x - 3| < ε.

Adding 2 to both sides of the inequality, we get |x - 1| < ε.

Therefore, for any ε > 0, we can find a δ = ε such that whenever 0 < |x - 3| < δ, then |x + 1 - 2| < ε.

b. To evaluate lim
x→0
​
 xsin(x), we can use the fact that sin(x)/x approaches 1 as x approaches 0.

Using this fact, we have xsin(x)/x = sin(x) * (x/x) = sin(x).

As x approaches 0, sin(x) approaches 0.

c. The Pinching Theorem states that if f(x) ≤ g(x) ≤ h(x) for all x in an interval except possibly at the point of interest, and lim
x→a
​
f(x) = lim
x→a
​
h(x) = L, then lim
x→a
​
In simpler terms, if we have two functions f(x) and h(x) sandwiching another function g(x) such that both f(x) and h(x) approach the same limit L as x approaches a, then g(x) also approaches the same limit L as x approaches a.

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