15 m
50 m
B
X
A
30 m
Ra
KY
18 m
Assuming that figure A is the original figure,
state the scale factor. Write your answer as
a simplified fraction.

Answer:

When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate.

The value of E, determined by the equation E = IR with I = 5 - 2i and R = 7 + 4i, is 43 + 6i.

To find the value of E using the equation E = IR, where I = 5 - 2i and R = 7 + 4i, we can substitute the given values and perform the multiplication.

E = (5 - 2i)(7 + 4i)

Expanding the expression using FOIL (First, Outer, Inner, Last):

E = 5 * 7 + 5 * 4i - 2i * 7 - 2i * 4i

Simplifying further:

E = 35 + 20i - 14i - \(8i^2\)

Since\(i^2\) = -1, we can substitute the value:

E = 35 + 20i - 14i - 8(-1)

E = 35 + 20i - 14i + 8

Combining like terms:

E = 43 + 6i

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Answer:

I want to say 12:50 pm but please tell me if I'm wrong

The Total surface of triangular prism  is 112 inches.

To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.

The given measurements are;

Base ; 5 inches and  4 inches

height is 8 inches

Length of the prism is 2 inches.

To find the total surface area, we sum up the areas of all the faces:

Total surface area = area of triangular  faces + area of rectangular faces + area of lateral faces.

area of triangular faces = 5 inches × 4 inches = 20 inches.

area of the two faces = 20 ×2 =40

Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.

Area of lateral faces = 8 inches ×2 = 16 square inches

for the two lateral faces is 16 × 2 = 32 square inches.

Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.

The Total surface of triangular prism  is 112 inches.

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Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

The probability of Jack taking 2 red candies is 3/28.

What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).

The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.

Solution Explained:

Given in the question,

A bag contains 3 red and 5 green candies.

Total possibilities is 3 + 5 = 8  

Jack takes a candy at random and eats it  

A/Q there are 3 red candies out of 8, the probability is given by,

P(R) = 3/8

Now there are 2 red candies out of 7, so the probability is given by,

P(R') = 2/7

The probability of both events is given by,

P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28

Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28

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ok

Volume of the tank = 50 x 42 x 50

= 105000 cm^2

Volume of 2/3 of the tank = 2/3 x 105000

= 70000 cm^3

Volume of 3/4 of the tank = 3/4 x 105000

= 78750 cm^3

a) Capacity of the tank = 105000 cm^3

b) Volume of the stone = 78750 - 70000

= 8750 cm^3

Answer:

3√5

Step-by-step explanation:

The largest perfect square of the factors of 45 is 9. We can therefore convert √45 like this:

√9 × 5

Next, we separate the numbers inside the √ as such:

√9 × √5

√9 is a perfect square that equals 3. We can therefore put 3 outside the radical and get the final answer to square root of 45 in simplest radical form as follows:

3√5

Answer:

x= 8 km

Step-by-step explanation:

measurement used:

When getting measurement the missing side occupies 1 more than a half of 15km

Answer:

x = 8km

Step-by-step explanation:

Use Pythagorean Theorem:

c2 = a2 + b2

In the diagram given, the hypotenuse (c) is 17 so substitute these values into the equation

17^2 = x^2 + 15^2

Take 15 to the power 2, to the other side.

17^2 - 15^2 = x^2

Solve to get

64 = x2

Square root both sides so

x = 8

The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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401(k) investment has over other types of investments is the employer match and contribution.

The graphic shows that for the sample 401(k) investment, there is an annual contribution of $5,000 from the individual. Additionally, there is an employer match of 5% and an employer contribution of $2,500, bringing the total contribution to $7,500.

The advantage of this 401(k) investment is that the employer is providing additional funds towards the individual's retirement savings. The employer match means that for every dollar the individual contributes, the employer contributes an additional 5 cents. This is essentially free money added to the investment, which can significantly boost the overall savings over time.

Furthermore, the employer contribution of $2,500 further enhances the advantage of this 401(k) investment. This contribution is made by the employer without any additional cost to the individual, increasing the overall investment amount.

Compared to other types of investments, such as individual retirement accounts (IRAs) or taxable investment accounts, the employer match and contribution in a 401(k) provide an immediate boost to the individual's retirement savings.

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Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

Los Angeles, California, has an average daily temperature between 70 degrees F and 80 degrees F throughout most of the year. There's very little rainfall except for during a rainy season beginning in the fall. This describes the city's climate.

The climate in Los Angeles can be characterized as a Mediterranean climate. This type of climate is typically found in areas close to the ocean, with dry summers and mild, wet winters. The average daily temperature range of 70-80 degrees F indicates the warm and mild nature of the climate.

The limited rainfall throughout most of the year suggests a dry climate, with the exception of the rainy season in the fall. This seasonal pattern is common in Mediterranean climates, where the majority of rainfall occurs during the cooler months.

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Answer:

He Won 26 Box trolls and 11 Pikachus

Step-by-step explanation:

You subtract 37-11 which would get you 26

The scatter plot suggests that there is a relationship between the number of chinups and push-ups, but it is not a perfect relationship

What is Scatter plot ?

A scatter plot is a type of graph that is used to display the relationship between two variables. It is a visual representation of a set of data points, where each point represents the values of two variables for a single observation.

Based on the scatter plot, it appears that there is a positive correlation between the number of chin-ups and push-ups several students did. This means that as the number of chin-ups increase, the number of push-ups also tend to increase.

We can see this trend in the general upward slope of the points in the scatter plot. However, there is also a fair amount of variability in the data, as some students did more push-ups than others even when they did a similar number of chin-ups.

Therefore,  the scatter plot suggests that there is a relationship between the number of chin-ups and push-ups, but it is not a perfect relationship

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Therefore, the length of the training track running around the field is approximately 643.36 meters.

To find the length of the training track running around the field, we need to calculate the perimeter of the rectangular part and add the circumferences of the two semicircles.

The perimeter of a rectangle is found by adding the lengths of all its sides. In this case, the rectangle has two sides measuring 85m and two sides measuring 57m. So, the perimeter of the rectangle is 2 * (85 + 57) = 284m.

The circumference of a semicircle is half the circumference of a full circle. The formula for the circumference of a circle is 2 * π * radius. Since we have semicircles, we need to divide the circumference by 2. The radius of each semicircle is the width of the rectangle, which is 57m. So, the circumference of each semicircle is π * 57 = 179.68m (approx).

Adding the perimeter of the rectangle and the circumferences of the two semicircles:

284 + 2 * 179.68 ≈ 643.36m.

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the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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Answer:

please mark brainlyest

6 = 200

12 = 400

18 = 800

24 = 1600

30 = 3200

36 = 6400

42 = 12800

48 = 25600

In theory assuming none of them die and they reproduce at a constant rate.

Answer:

(10, 0)

Step-by-step explanation:

(x2 + x1/2  , y2 + y1/2)

[10 + 10 / 2  ,  1 + (-1) / 2]

(20/2  , 0/2)

(10, 0)

Point D is 1/n of the way from point C to point E. To find the coordinates of point D, we need to determine the fraction of the distance from C to E that D represents.

Given that n = 5, D is 1/5 of the way from C to E.
To find the coordinates of D, we can use the following formula:
x D = x C + (1/n) * (x E - x C)
y D = y C + (1/n) * (y E - y C)
Plugging in the values, we have:
x D = -2.5 + (1/5) * (5 - (-2.5))
y D = 1.25 + (1/5) * (15 - 1.25)
Simplifying the equations:
x D = -2.5 + (1/5) * 7.5
y D = 1.25 + (1/5) * 13.75
Calculating:
x D = -2.5 + 1.5 = -1
y D = 1.25 + 2.75 = 4
Therefore, the coordinates of point D when n = 5 are (-1, 4).
The coordinates of point D when n = 5 are (-1, 4).
To find the coordinates of point D, which is 1/n of the way from point C to point E, we use the formula xD = xC + (1/n) * (x E - x C) and y D = y C + (1/n) * (y E - y C).
In this case, n = 5. The x-coordinate of point C is -2.5, and the x-coordinate of point E is 5. Plugging these values into the formula, we have:
x D = -2.5 + (1/5) * (5 - (-2.5))
Simplifying, we get:
x D = -2.5 + (1/5) * 7.5
Calculating, we find:
x D = -2.5 + 1.5
x D = -1
Similarly, the y-coordinate of point C is 1.25, and the y-coordinate of point E is 15. Plugging these values into the formula, we have:
y D = 1.25 + (1/5) * (15 - 1.25)
Simplifying, we get:
y D = 1.25 + (1/5) * 13.75
Calculating, we find:
y D = 1.25 + 2.75
y D = 4
Therefore, the coordinates of point D when n = 5 are (-1, 4).
When n = 5, the coordinates of point D, which is 1/5 of the way from point C to point E, are (-1, 4).

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the first one is: The value of 1 in carmen's number is 3 times the value the value of the 1 in michelles's number

and the second is:

Answer:

x=2

Step-by-step explanation:

use the cover up method

After considering all the given options we conclude that the statement which true with regards to the question is Option (A).

The frequency (f) regarding a specific value is the count of occurrences of specified value in the data. The frequency distribution of a specified variable is the cluster of all possible values and the frequencies associated with these values.
Frequency distributions are projected graphically as frequency tables or charts.
It is known to us that  the frequency table of kiwi birds with their gender in the figure
Number of female tokoeka kiwis = 44
Here if we consider that at the table there is none of any bird that is greater than 44 which projects it is the most observations in the research.
Hence,  the major observations were taken of female tokoeka kiwis.

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The complete question is
Isla was researching kiwi birds. She categorized each bird she observed by species and gender. The two-way frequency table below shows data from observations of 200 kiwis.Which of the following statements is true about the kiwis observed?
(Choice A)
There were the most observations of female tokoeka kiwis.

(Choice B)
Great spotted kiwis were more likely to be male than female.

(Choice C)
More than half of the kiwis were Northland brown kiwis.

(Choice D)
Northland brown kiwis were more likely to be female than tokoeka kiwis were.

If  Four cakes of soap cost ₹ 276, then the price of one cake of soap is ₹69.

The statement is:

Four cakes of soap cost ₹ 276. We have to calculate the price of one cake of soap.

Let the cost of one cake of soap be ₹x. The cost of four cakes of soap will be 4x.

We can form an equation from the given data that is:

4x = ₹276

To find the value of x (the price of one cake of soap), we need to solve this equation for x.

Divide both sides of the equation by 4:

x = ₹276 / 4

Dividing both sides of the equation by 4, we get:

x = ₹69

Therefore, the price of one cake of soap is ₹69.

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The surface area of the composite figure is 322cm²

Surface area is the amount of space covering the outside of a three-dimensional shape. The total surface area will be the sum of the surface area of the figure.

The figure has 7 surfaces, and the areas are

calculated.

face 1 = 6× 4 = 24+1² = 25cm²

face 1 = face 2 = 25cm²

face 3 = 12 × 7 = 84 cm²

face 4 = 6× 12 = 72 cm²

face 5 = 3 × 12 = 36cm²

face 6 = 4× 12 = 48cm²

face 7 = 1 × 12 = 12 cm²

Total surface area = 25+25+84+72+36+48+12 = 322cm²

therefore the surface area of the Composite figure is 322cm²

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Answer:

18 dollars

Step-by-step explanation:

take 30 divided by 60 to get how much 1 gallon cost (2 dollars)

then take 9 times 2 to see how much it would cost (18 dollars)

mark brainist plzzz

The answer of the equation is:

500000 x 0.5% = 2500

Step 1: The output value is 500000.

Step 2: Represent unknown value as x .

Step 3: 500000 = 100 .

Step 4: Likewise $x=0.5\%$.

Step 5: Two simple equations:

500000 = 100%.

⇒ x = 0.5%.

Step 6: Divide Equation 1 by Equation 2 and notice that both right sides of Equation have the same units (%).

500000 = 100%(1).

Step 7: Round-trip both sides again

    500000 / x = 100%/0.5%

⇒ x / 500000 = 0.5/100

⇒ x = 2500

Therefore, 0.5% of 500000 is 2500.

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Answer:

A

Step-by-step explanation: