.
Alicia walked east for 30 yards, then walked north for 72 yards, as shown below.



If Alicia were to walk directly back to her starting point, how many yards would she have to walk to get there?

I solved it using my calculator but you can also solve the matrix by hand.

Answer:  D. p(d) = 3(10000)p​

Step-by-step explanation:

The function is p(d) = 3(10000)p, where p is the bacteria population and the number of days, d. The correct answer would be option (D).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

As per the given situation, we can write the function would be as:

⇒ p(d) = 3(10000)p

It states that the population of the bacteria, p, is equal to the starting population of 10,000 multiplied by 3 number of days, d. This function correctly represents the idea that the population triples each day.

Hence, the correct answer would be an option (D).

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All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

80 %

Step-by-step explanation:

Can you put more of the question

Answer:

it's 272 feet square because if it is the area then you can dig it

A = bh

A = 22(17) -6(17)

A = 272

Answer:

C you all welcome:)

Step-by-step explanation:

A was wrong sorry to tell you

1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.

2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Question 1.

In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;

Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6

Mean number of text for Jada = 30/6

Mean number of text for Jada = 5.

Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6

Mean number of text for Diego = 36/6

Mean number of text for Diego = 6.

Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6

Mean number of text for Lin = 24/6

Mean number of text for Lin = 4.

Question 2.

In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;

Standard deviation = √(1/n × ∑(xi - u₁)²)

Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]

Standard deviation for Jada = √(6/6) = 1

Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]

Standard deviation for Diego = √(14/6) = 1.53

Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]

Standard deviation for Lin = √(76/6) = 3.6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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Answer:

  1/5

Step-by-step explanation:

When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.

  k(10, -15) = (2, -3)

  k = 2/10 = -3/-15 = 1/5

The scale factor of the dilation is 1/5.

An equation of the line that goes through the point (-1, -3) and (3, 5) is y = 2x - 1.

An equation of the line in slope-intercept form that is perpendicular to the equation for obstacle 1 is y = -x/2 + 3.

In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)

Where:

At data point (-1, -3), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - (-3) = \frac{(5- (-3))}{(3-(-1))}(x -(-1))\\\\y +3 = \frac{(5+3)}{(3+1)}(x +1)\)

y + 3 = 2(x + 1)

y = 2x + 2 - 3

y = 2x - 1

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

2 × m₂ = -1

m₂ = -1/2.

At point (-4, 5), an equation of the line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x + 4)

y = -x/2 - 2 + 5

y = -x/2 + 3

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Answer:

480^12

Step-by-step explanation:

When you're multiplying exponents with the same base, the simplest way is to add the two exponents:

480^8 * 480^4 =

480^(8+4) =

480^12

Then solve, but your question doesn't ask for that.

An identity function has one output value for each input value.

G is an identity function.

To find its equation apply the slope-intercept form:

y=mx +b

Where:

m= slope ( rise / run)

b= y-intercept ( where the function crosses the y axis)

By looking at the graph we can see that it crosses (0,0) so, b= 0.

And for every unit to right along the x-axis, it goes up by 1 unit along the y axis.

So, m= 1/1 = 1

Equation:

y = x

Answer:

CD

Step-by-step explanation:

For all sides except CD, you do not need the distance formula, since they are vertical or horizontal, meaning that you can find their length simply through subtraction. However, with side CD, since it is diagonal, you need to form a right triangle with to solve its length. Hope this helps!

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Answer:

0,70 s

Step-by-step explanation:

We have to solve the associated equation:

-16t^2 + 48t + 64 = 90

1) divide each member by 2

-8t^2 + 24t + 32 = 45

2) add at both member -45

-8t^2 + 24t + 32 -45 = 45-45

-8t^2 + 24t - 13 = 0

3). multiply the two members by -1

8t^2 - 24t + 13 = 0

4) find Δ/4 with the reduce formula

Δ/4 = 144 -104 = 40

5) find the approximate  solutions with the reduce formula

t1 = (12 + 6,42)/8 = 2,29 s

t2 = (12 - 6,42)/8  = 0,70 s

we have to take the smallest value because the biggest describe when the rocket will reach 90 feet when it is descending

Answer:

x = 36

Step-by-step explanation:

Hi,

3x-26 + 3x - 10 = 180

6x - 36 = 180

6x = 216

x = 36

hope this helps :)

Answer:

6x-36 is your answer

Step-by-step explanation:

1. remove unnecessary parentheses

2. combine like terms

3. factor

4. your answer

Answer:

14. x=18

Step-by-step explanation:

For 14 you can see that all the angles must add up to 180.

Setup the equation 5x+2x+x=180 and solve for x

For 15 do the same thing, add up all of the lengths and substitute the missing one as W. Set them equal to 360 and you should get your answer.

The attached image completes the question.

Answer:

- The part (0, 12000) is constant and the slope is zero

- The part (12000, 38000) is decreasing and slope is negative 0.26.

Step-by-step explanation:

Checking the given graph, we see that

For x = 0  to x = 12,000, the values of y are unchanged. For this, we say it is constant.

The slope here is: 0.85 - 0.85 = 0

For x = 12,000  to x = 38,000, the values of y are decreasing. For this, we say it is negative.

The slope here is: 0.59 - 0.85 = -0.26.

Joan delivered more than twice as many large loads of firewood as small loads on 2 of the last 10 days, which is option B.

In mathematics, a graph is a collection of vertices or nodes, along with edges or arcs, that connect pairs of these nodes. A graph can be used to represent a variety of mathematical and real-world phenomena, including social networks, transportation networks, and the structure of molecules.

To find the number of days Joan delivered more than twice as many large loads of firewood as small loads, we need to check each coordinate in the given set of points and see if the y-coordinate (large loads) is greater than twice the x-coordinate (small loads) multiplied by 2. Mathematically, we can write this as y > 2x.

Checking each coordinate, we have:

(1,4): y = 4, 2x = 2, y is not greater than 2x

(1,6): y = 6, 2x = 2, y is greater than 2x

(2,6): y = 6, 2x = 4, y is not greater than 2x

(3,5): y = 5, 2x = 6, y is not greater than 2x

(3,6): y = 6, 2x = 6, y is not greater than 2x

(3,8): y = 8, 2x = 6, y is greater than 2x

(4,4): y = 4, 2x = 8, y is not greater than 2x

(5,2): y = 2, 2x = 10, y is not greater than 2x

(6,3): y = 3, 2x = 12, y is not greater than 2x

(7,5): y = 5, 2x = 14, y is not greater than 2x

Thus, Joan delivered more than twice as many large loads of firewood as small loads on 2 of the last 10 days, which is option B.

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

23-x >19

make x the coefficient by subtracting 23 from both sides

23-23 - x > 19 - 23

-x > -4

Divide both sides by -1, thus making the sign to change

-x / -1 > -4/-1

x < 4

a) f(x, y) is continuous at (0, 0).

b) fx(0, 0) = -0 = 0

   fy(0, 0) = -0 = 0

c) f(x, y) is differentiable at (0, 0).

d) fx and fy are continuous at (0, 0).

e) The theorems mentioned are consistent with the results found in parts a through d.

The theorems support the results obtained in parts a through d, confirming that f(x, y) = 1 - |xy| is continuous and differentiable at (0, 0), and both partial derivatives fx and fy are continuous at (0, 0).

a) To determine if the function f(x, y) = 1 - |xy| is continuous at (0, 0), we need to check if the limit of f(x, y) as (x, y) approaches (0, 0) exists and is equal to f(0, 0).

Let's evaluate the limit:

lim (x,y)→(0,0) (1 - |xy|)

Approaching (0, 0) along the x-axis, y = 0, and the function becomes:

lim x→0 (1 - |x * 0|)

lim x→0 (1 - 0)

1

Approaching (0, 0) along the y-axis, x = 0, and the function becomes:

lim y→0 (1 - |0 * y|)

lim y→0 (1 - 0)

1

Since the limit is 1 from both directions and f(0, 0) = 1, the limit exists and is equal to the function value.

b) To evaluate the partial derivatives fx(0, 0) and fy(0, 0), we calculate the derivatives with respect to x and y, respectively:

fx(x, y) = d/dx (1 - |xy|) = 0 - d/dx |xy|

= -y

fy(x, y) = d/dy (1 - |xy|) = 0 - d/dy |xy|

= -x

Substituting (0, 0) into these derivatives:

fx(0, 0) = -0 = 0

fy(0, 0) = -0 = 0

c) To determine if f(x, y) is differentiable at (0, 0), we need to check if both partial derivatives exist and are continuous at (0, 0).

In this case, fx(x, y) = -y and fy(x, y) = -x are both continuous at (0, 0) because they are constant functions.

d) Since fx(0, 0) = 0 and fy(0, 0) = 0, both partial derivatives are continuous at (0, 0).

1. The function f has partial derivatives fx and fy defined on an open set (a, b) and fx and fy are continuous at (a, b). In our case, (a, b) is (0, 0), and fx(0, 0) = 0 and fy(0, 0) = 0 are continuous. Therefore, according to the theorem, f is differentiable at (0, 0).

2. The function f is differentiable at (a, b) implies that it is continuous at (a, b). In our case, we have shown that f is differentiable at (0, 0), and since differentiability implies continuity, f is also continuous at (0, 0).

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Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Using a linear function, it is found that:

a) Sales are increasing at a constant rate of 30 purchases/month.

b) The linear function is: p = S(t) = 30t + 3990.

c) The total purchases will be of 5130 in June 2010.

d) The sales will be of 5400 in March of 2011.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For this problem, we have that:

The slope of 30 is the constant rate of purchases per month, and the linear function is given by:

p = S(t) = 30t + 3990.

June 2010 is 3 x 12 + 2 = 38 months after April 2007, hence the purchases will be of:

S(38) = 30 x 38 + 3990 = 5130.

The sales will be of 5400 in t months after April 2007, for which:

S(t) = 5400

Hence:

30t + 3990 = 5400

t = (5400 - 3990)/30

t = 47 months.

One month shy of four year, hence in March of 2011.

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Answer:

Surface area is =548

Volume = 840 in³

Step-by-step explanation:

l × w, l × w, w × h, w × h, l × h, l × h

70 + 70 + 84 + 84 + 120 + 120 = 548

l × w × h = 840

Answer:

Hi mate

The right angled triangle is the best name for it

Because it has an right angle or 90 degree angke

Step-by-step explanation:

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

13.5 or if in fraction 27÷2

Step-by-step explanation:

1.5 = m ÷ 9

1.5 × 9 = m (since you're finding m,shift the 9 to the left.So divide becomes multiply)

27/2 (27÷2) or 13.5 = m