What is the average of the points A, B, and C with weights 1, 4 and 4 respectively?
A (8,-6) B(9,-5) C(-6,7)

Answer:

C

Step-by-step explanation:

Both median and mean would decrease

Answer:

y= (3/2)x-3

Step-by-step explanation:

We need two points to find the equation of a line. Let's take (2,0) and (4, 3).

In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.

Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation

y= (3/2)x-3

Answer:

the answer is C

Step-by-step explanation:

Answer:

The answer is D. {(1,3), (2,6), (3,9), (4,12)]

Step-by-step explanation:

I hope this helps

Answer:

D. {(1, 3), (2, 6), (3, 9), (4, 12)}

Step-by-step explanation:

Your Welcome (; (:

Answer:

work done every week

y=100-0.75x

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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The coefficient of x^4 y^7 in the expansion of (x y)^11 is:

(11 choose 4) = 330.

The binomial expansion of (x y)^11 is given by the formula:

(x y)^11 = (11 choose 0) x^11 y^0 + (11 choose 1) x^10 y^1 + (11 choose 2) x^9 y^2 + ... + (11 choose 11) x^0 y^11

To find the coefficient of x^4 y^7 in this expansion, we need to look at the term (11 choose 4) x^4 y^7. The coefficient of this term is given by the binomial coefficient (11 choose 4), which is calculated as:

(11 choose 4) = 11! / (4! * (11-4)!) = 330

Therefore, the coefficient of x^4 y^7 in the expansion of (x y)^11 is 330.

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Answer:

Step-by-step explanation:

145.90

Answer:

Step-by-step explanation:

The function f(x)=3x is an exponential function; the variable is the exponent. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive.

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

Answer:

4x^4 y^2 ∛x^2y^2

Step-by-step explanation:

\((8x^7y^4)^\frac{2}{3} \\\\8^\frac{2}{3}(x^7)^\frac{2}{3}(y^4)^\frac{2}{3}\)

\((2^3)^\frac{2}{3}x^7*^\frac{2}{3}y^4*^\frac{2}{3}\\4x^\frac{14}{3}y^\frac{8}{3}\)

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

\(\sqrt{53}\) = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

\(7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3\)

The area of the composite figure is equal to 60.75 m² square metres.

The composite figure is made up of a triangle and two rectangles, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the triangle = 1/2 × 7.5 m × 3 m

area of the triangle = 1/2 × 22.5 m²

area of the triangle = 11.25 m²

area of smaller rectangle = 4.5 m × 3 m

area of smaller rectangle = 13.5 m²

area of the bigger rectangle = 12 m × 3 m

area of the bigger rectangle = 36 m²

total area of the composite figure = 11.25 m² + 13.5 m² + 36 m²

total area of the composite figure = 60.75 m²

Therefore, the area of the composite figure is equal to 60.75 m² square metres.

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0.0041 is closest to the rate at which the area of the forest is increasing, in square kilometers per decade.The correct answer is option D.

To determine the rate at which the area of the forest is increasing in square kilometers per decade, we need to convert acres to square kilometers and decades to years.

First, let's convert 1 square mile to square kilometers:

1 square mile = (1 mile)² = (1.60934 kilometers)² = 2.58999 square kilometers

Next, let's convert 1 acre to square kilometers:

1 acre = (1/640) square mile = (1/640) * 2.58999 square kilometers = 0.00404 square kilometers

Now, we know that the area of the forest is increasing at a rate of 1 acre per decade. So, the rate of increase in square kilometers per year is:

0.00404 square kilometers per decade ÷ 10 years = 0.000404 square kilometers per year

To find the rate in square kilometers per decade, we multiply the rate per year by 10:

0.000404 square kilometers per year × 10 = 0.00404 square kilometers per decade.

Among the given options, the closest rate is option D) 0.0041 square kilometers per decade.

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The percentage increase in the cost of oranges is 20%

A % is a quantity or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviation "pct.", "pct.", and occasionally "pc" are also used to indicate it, but the percent sign, "%," is more frequently employed. There is no unit of measurement for a %; it is a dimensionless number (pure number).

The symbol for "%" developed from the progressive reduction of the Italian term per cento, which means "for a hundred." It finally vanished totally. The word "per" was frequently shortened to "p." Two circles and a horizontal line made up the "cento," which is how the contemporary "%" symbol is now represented.

Given that the oranges at the grocery store went from $0.75/ib to $ 0.90/ib

=(0.90-0.75)/0.75

=0.15/0.75

=0.2

% increase= 0.2*100

=20%

Therefore, the percentage increase in the cost of oranges is 20%

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The answer is A. Winter.

As the pattern is : F, W, Sp, Su, F... (letters used for convenience), then the next word in the pattern will be Winter, because that was shown in the previous sequence.

Answer:

im sorry what exsactly is the question?

Step-by-step explanation:

Answer:

63 degrees

Step-by-step explanation:

All angles add up to 180

(5x+6) + (4x-6) + (5x-2) = 180

put like terms together

5x+4x+5x + 6-6-2 = 180

14x -2 = 180

add 2 to both sides

14x = 182

divide both sides by 14

x=13

angle G is 5x-2, so if x=13, angle G is 5(13) -2

= 65  -2 = 63 degrees

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and crown if right

Answer:

B

Step-by-step explanation:

The sum of the areas of the enclosed regions is 2.004 , and -3.811 the rate at which h changes with respect to x when x = 1.8 .

Given : f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2

The graphs of y = f(x) and y = g(x) intersect in the first quadrant at the points (0, 2), (2, 4), and (A, B) = (1.032832, 2.401108).

(a)  the sum of the areas of the enclosed regions is given by

Area =

\(\int\limits^A_0[[g(x) - f (x)] dx +\int\limits^2_A [f(x) - g(x)] dx\)

= 0.997427 +1.006919

= 2.004

(b)  the sum of the volumes of the enclosed regions is given by

Volume = [[ƒ(x) − g(x)]² dx = 1.283

(c) the rate at which h changes with respect to x when x = 1.8

h(x) = f(x) = g(x)

h'(x) = f'(x) - g'(x)

h'(1.8) = f'(1.8) g'(1.8)

          =-3.812 (or -3.811)

Hence , the sum of the areas of the enclosed regions is 2.004 , and -3.811 the rate at which h changes with respect to x when x = 1.8 .

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If they are parallel it would be 105

If its right please give brainliest

For Fatima's claim, No, the distribution is uniform with a median of 0.5 field goal percentage.

Fatima's claim is not supported by the table. The table shows that the probability of a player making 0.4 field goals is 0.2, while the probability of a player making 0.5 field goals is 0.3. This means that the distribution is not uniform, and the median is not 0.4. The median is the value in the middle of the distribution, and in this case, the median is 0.5. This is because there are more players who make 0.5 field goals than there are players who make 0.4 field goals.

The distribution is also not skewed to the right. A skewed distribution is one in which the majority of the values are on one side of the median. In this case, the values are evenly distributed on both sides of the median.

Therefore, Fatima's claim that the distribution is uniform with a median of 0.4 field goal percentage is not supported by the table.

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Answer:

743627367867628718473867267462664772

Step-by-step explanation:

Answer:

5years ×12months =60

$130month × 60months=$7800

$7800-$4500= $3300 she will be paying more for the car

Answer:

There is no question showing up so I dont know how to help u

Step-by-step explanation:

Answer:

j = 8m + 48 is correct

Step-by-step explanation:

You see that the y-intercept where x is equal to is 48, and after one month it increases by 8, so we have j = 8m + 48. You were correct

Answer:

C. -49

Step-by-step explanation:

= =

Remember that the - in front of the 7 is independent from it

Answer:

-49

Step-by-step explanation:

- (7^-3)(7^5) = - (7^-3+5) = - (7^2) = -49

Step-by-step explanation:

We have,

l =5ft

b=2ft

h=3ft

\(volume(v) = l \times b \times h\)

v = (l*b*h)

v = (5*2*3)ft

v = (30)ft

.•. v = 30ft

Answer:

The width of the interval would increase.

Step-by-step explanation: