How do you name a ray?

To find the distance between the points (-8, 2.5) and (0, -4.5) using the distance formula, let's substitute the coordinates into the formula and simplify the expression step by step:

Substitute coordinates:

d = √((-8 - 0)^2 + (2.5 - (-4.5))^2)

Simplify parentheses:

d = √((-8)^2 + (2.5 + 4.5)^2)

Evaluate powers:

d = √(64 + 7^2)

Simplify:

d = √(64 + 49)

Taking the square root of the sum of 64 and 49:

d ≈ √113

Rounding to the nearest hundredth:

d ≈ 10.63

Therefore, the distance between the points (-8, 2.5) and (0, -4.5) is approximately 10.63 units.

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Answer:

3a

Step-by-step explanation:

27a ÷ 3 (number of cube root) = 3a

Answer:

3 a

Step-by-step explanation:

is the right answer you welcome

(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.  Therefore, there are 31 different ways this can happen

To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:

1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).

Therefore, the range of possible values for "x" is 1 to 5.

2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.

To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.

Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.

Therefore, there are 31 different ways this can happen

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Answer:

No, 15/21 and 40/56 do not form a proportion.

Step-by-step explanation:

Answer:

(6 – √25)/4

=(6 – 5)/4

= 1/4

Answer:

Each person will get 3/20 of the bag of candies

Step-by-step explanation:

3/5 divided by 4 = 3/5 * 1/4 = 3/20

Please mark as brainliest if the answer is correct!

Also, feel free to tell me if my answer is wrong, or you have more questions. :D

Answer:

True .

Step-by-step explanation:

It's true because it sure is possible to calculate the approximate number of years by the rule of 82 .Thank you :)

Answer:

(4;0)

Step-by-step explanation:

y=0

2x-3×0=8

2x=8

x=4

The phase portrait of the differential equation 2y^n - y' = 0 will consist of a single equilibrium point at (0, 0) and arrows diverging away from the equilibrium in both positive and negative y directions.

To sketch the phase portrait of the differential equation 2y^n - y' = 0, we need to analyze the equilibriam and the orientations or directions of the arrows.

First, let's find the equilibria by setting y' to zero and solving for y. In this case, we have:

2y^n - y' = 0

2y^n - 0 = 0

2y^n = 0

From this equation, we can see that the only equilibrium occurs when y = 0. Thus, the phase portrait will have a single equilibrium point at (0, 0).

Next, we need to determine the orientations or directions of the arrows around the equilibrium point. To do this, we can choose some test points to the left and right of the equilibrium and evaluate the sign of y' to determine whether the arrows are pointing towards or away from the equilibrium.

Let's consider a test point y = -1, which is to the left of the equilibrium at y = 0. Substituting this value into the differential equation, we have:

2(-1)^n - y' = 0

2(-1)^n = y'

For even values of n, we get:

2 - y' = 0

y' = 2

Since y' is positive (2 > 0), the arrows at y = -1 will be pointing away from the equilibrium.

Now let's consider a test point y = 1, which is to the right of the equilibrium at y = 0. Substituting this value into the differential equation, we have:

2(1)^n - y' = 0

2 - y' = 0

y' = 2

Again, we find that y' is positive (2 > 0), indicating that the arrows at y = 1 will be pointing away from the equilibrium.

Based on this analysis, we can sketch the phase portrait of the differential equation. Since the orientations of the arrows are pointing away from the equilibrium at y = 0 for both positive and negative y values, the phase portrait will show arrows diverging away from the equilibrium in both directions.

The phase portrait will have a single equilibrium point at (0, 0), with arrows diverging away from it in both the positive and negative y directions. It is important to note that the specific shape and scale of the phase portrait will depend on the value of n, which is not specified in the given equation.

In summary, the phase portrait of the differential equation 2y^n - y' = 0 will consist of a single equilibrium point at (0, 0) and arrows diverging away from the equilibrium in both positive and negative y directions.

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Answer: B

Step-by-step explanation: The product of x and y, xy, is always a constant value, that being 60.

The ratio of the probability of flipping a tail to the probability of flipping a head when the probability of getting three heads is the same as the probability of getting exactly two tails in three flips is 1/3.

Let p be the probability of flipping a head and q be the probability of flipping a tail.

The probability of getting three heads in three flips is \((p)^3.\)

The probability of getting exactly two tails in three flips is 3pq².

Given that these probabilities are equal, we have:

\((p)^3\)= 3pq²

Simplifying this equation gives:

p = 3q

Dividing both sides by q gives:

p/q = 3

Therefore, the ratio of the probability of flipping a tail to the probability of flipping a head is 1/3.

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We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Answer:i believe its 16.6667

Step-by-step explanation:

Answer:

\(\boxed{85}\)

Step-by-step explanation:

Sum of 38 and -87:

=> 38 + (-87)

=> 38 - 87

=> -49

Subtraction of -134 from -49:

=> -49 - (-134)

=> -49 + 134

=> 85

Answer:

D

Step-by-step explanation:

when you add 5.1 and 7.7 together it would be 12.8 but you have to move the decimal to the left again since it has more than one number to the left then the ^5 would turn into ^6 and 1.28x10^6 is 1,280,000 and the other is only 1,000,000

Answer:

D

Step-by-step explanation:

The formula to calculate the volume of the brick is given to be:

We have the following dimensions, converted to meters, as follows:

Therefore, the volume is:

What is the question for this so I can answer it?

Answer:

D

Step-by-step explanation:

Option 4.

The vertex form of a parabola is

where, a is a constant (h,k) is the vertex.

The given function is

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in the equation.

g(x) is passed through (3, 6).

 Divide both sides by 4.

Substitute a=1 in equation (2).

The function g(x) is g(x) =(x-2)2+5) .

Therefore, the correct option is 4.

hope this helps

Answer:

D

Step-by-step explanation:

The last cup contains 4 ounces of lemonade. Option (a) is correct.

Pam has 228 ounces of lemonade and she pours it into 8-ounce cups. To determine the amount of lemonade in the last cup, we divide the total amount of lemonade by the size of each cup.

228 ounces ÷ 8 ounces = 28 cups with a remainder of 4 ounces.

Since the last cup is not completely full, the remaining 4 ounces of lemonade are in the last cup. This means option (a), which states that there are 4 ounces in the last cup, is the correct answer.

By dividing the total amount of lemonade by the cup size and considering the remainder, we can determine the quantity of lemonade in the last cup, which in this case is 4 ounces.

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Answer:

Using Piragorean Theorem:

\(x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}\)

Answer:

\(\sqrt{149\)

Step-by-step explanation:

7² + 10² = 12.21²

49 + 100 = 149

The linear function that fits the data points using least squares is:

f(t) = 3 + 1.5t

To fit a linear function of the form f(t) = c0 +c1t to the data points (0,3), (1,3), (1,6), using least squares, we first need to calculate the values of c0 and c1.

The least squares method involves finding the line that minimizes the sum of the squared distances between the data points and the line. This can be done using the following formulas:

c1 = [(nΣxy) - (ΣxΣy)] / [(nΣx²) - (Σx)²]

c0 = (Σy - c1Σx) / n

Where n is the number of data points, Σx and Σy are the sums of the x and y values respectively, Σxy is the sum of the products of the x and y values, and Σx² is the sum of the squared x values.

Plugging in the values from the data points, we get:

n = 3
Σx = 2
Σy = 12
Σxy = 15
Σx^2 = 3

c1 = [(3*15) - (2*12)] / [(3*3) - (2^2)] = 3/2 = 1.5

c0 = (12 - (1.5*2)) / 3 = 3

Therefore, the linear function that fits the data points using least squares is:

f(t) = 3 + 1.5t

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(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

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Answer:

Length of DE = 7.5 units

Length of DB = 9.2 units

Measure of ∠FED = 82°

Step-by-step explanation:

In ΔABC,

AD ≅ BD and CE ≅ BE [Given]

By the theorem of mid-segments,

DE = \(\frac{1}{2}(AC)\)

     = \(\frac{1}{2}(15)\)

DE = 7.5 units

Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]

Therefore, length of DB = 9.2 units

[Although it's not given in the question, but we assume FE║AB]

Since FE║AB and DE is a transverse,

Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]

Answer:

The center is (4, 7), and the radius is 3.

\( {(x - 4)}^{2} + {(y - 7)}^{2} = 9\)

The equation of the line that fits these points is: y = 3 + 2x for being collinear.

To determine if the points (0, 3), (1, 5), and (2, 7) are collinear, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)

Let's calculate the slope between the first two points (0, 3) and (1, 5):
slope1 = (5 - 3) / (1 - 0) = 2

Now let's calculate the slope between the second and third points (1, 5) and (2, 7):
slope2 = (7 - 5) / (2 - 1) = 2

Since the slopes are equal (slope1 = slope2), the points are collinear.

Now let's find the equation of the line that fits these points in the form y = c0 + c1x. We already know the slope (c1) is 2. To find the y-intercept (c0), we can use one of the points (e.g., (0, 3)):
3 = c0 + 2 * 0

This gives us c0 = 3. Therefore, the equation of the line that fits these points is:
y = 3 + 2x

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The correct answer is (a) event. An event is a subset of outcomes from the sample space. It represents a specific outcome or set of outcomes that we are interested in. Events can be simple, consisting of a single outcome, or they can be compound, consisting of multiple outcomes.

For example, consider rolling a fair six-sided die. The sample space is {1, 2, 3, 4, 5, 6}. Let's say we are interested in the event of rolling an even number. The event in this case would be {2, 4, 6}, which is a subset of the sample space.

Events can also be mutually exclusive, meaning they cannot occur at the same time, or they can be independent, meaning the occurrence of one event does not affect the probability of the other event occurring.

In summary, an event is a subset of outcomes from the sample space and represents a specific outcome or set of outcomes that we are interested in. It is an important concept in probability theory.

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