I got more points so I can ask or tell more random stuff now ​

Answer:

6a^5

Step-by-step explanation:

3a^2*2a^3

3×2+a^2×a^3

6a^5

Answer:

The answer is 6a⁵.

Step-by-step explanation:

You have to use Indices Law,

\( {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} \)

So for this question :

\(3 {a}^{2} \times 2 {a}^{3} \)

\( = (3 \times 2) \times ( {a}^{2 + 3}) \)

\( = 6 \times {a}^{5} \)

\( = 6 {a}^{5} \)

Answer:

35/14

Step-by-step explanation:

Volume = 4 * h * 7 / 2 = 14h

35/14 = h

The service center is located at milepost 130 on the highway.

To find the location of the service center, we need to first find the total distance between the third and tenth exits, and then find three-fourths of that distance.

The total distance between the third and tenth exits is:

160 - 40 = 120 miles

Three-fourths of this distance is:

(3/4) * 120 = 90 miles

Starting from the third exit at milepost 40, we can find the location of the service center by adding 90 miles to the milepost number:

40 + 90 = 130

Therefore, the service center is located at milepost 130 on the highway.

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Answer:

A

Step-by-step explanation:

90 degree angle = right angle, that's what it is. you know there's 60 degree, so the other one is 90 - 60 = 30. since it's 3 times x, it's 10.

x=1

y=-3

required to evaluate 2x+y

We therefore substitute for x and y in the above expression

2(1) + (-3) = 2 - 3 = -1

The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.

What is a right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that, in △BCD

BD = 24 m

DC = 10 m

BC = 26 m

△BCD is a right angle triangle.

The trigonometry ratio of sine is ratio of height to hypothenuse.

With respect to C, the height of △BCD is 24m and hypothenuse is 26m.

sin C = height/hypothenuse

sin C = 24/26

C = 67.38°

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Answer:

0.000096m2

Step-by-step explanation:

Incase you don't understand feel free to ask!!!

A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other. The area of the rhombus is equal to 9.6 × 10⁻⁵ hectares.

A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other. It can also be said that a rhombus is a parallelogram with all the sides being equal.

4a² = d₁² + d₂²

4(100)² = d₁² + (120)²

4 × 10000 = d₁² + 14400

d₁² = 25600

d₁ = 160

Area of rhombus = ( d₁ × d₂) ÷ 2

                            = (120 × 160)/2

                            = 9600 cm²

Since 1 sq. cm is equal to 10⁻⁸ hectares. Therefore, the area of the rhombus will be,

Area = 9600 cm²

        = 9600 ×  10⁻⁸ hectares

        = 9.6 × 10⁻⁵ hectares

        = 0.000096 hectares

Hence, the area of the rhombus is equal to 9.6 × 10⁻⁵ hectares.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5). (option b)

To translate the triangle two units to the left, we need to subtract 2 from the x-coordinates of each vertex, while leaving the y-coordinates unchanged. This is because moving the triangle left means we're decreasing its x-values.

So, let's apply this transformation to each point.

The first point, (-1, -1), becomes (-1 - 2, -1), which simplifies to (-3, -1).

The second point, (-1, -5), becomes (-1 - 2, -5), or (-3, -5).

The third point, (0.5, -5), becomes (0.5 - 2, -5), or (-1.5, -5).

These new coordinates give us the vertices of the triangle after it has been translated two units to the left.

Now that we have the new vertices, we can label them A', B', and C' to distinguish them from the original vertices. So, the translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5).

This is the second option in the answer choices given.

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Step-by-step explanation:

the correct answer is option a 6a-7

The length of line segment DE is 10 units

A line CE is given, on which three points  C, D and E lies in such a way that

length of line segment CD = 20

length of line segment CE = 32

We need to find the length of line segment DE

We know from the property of a straight line that, sum of all the length of line segments of a line is equal to the total length of the straight line

Therefore, CD + DE = CE

Putting values, we will get

20 + DE = 32

DE = 32 -20

DE = 10

Hence, the length of line segment DE is 10 units

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The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²

The equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the center and r is the radius.

The circle with center (0,6) containing the point (74,2). Hence:

\(Radius=\sqrt{(2-6)^2+(74 -0)^2}=74.1\ unit\)

The equation is:

x² + (y - 6)² = 74.1²

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Answer:

Decrease by 5.5 percent

1-.945 = .055

= 5.5 percent

Answer:

y=-3/4x-13/2

Step-by-step explanation:

This should be the answer, I am not 100% though

I did y-4=-3/4x(x+14)

Answer:

5

Step-by-step explanation:

the ratio of flour to sugar is:

flour : sugar= 4 : 2 = 2 : 1

Answer:

2:1, 2 to 1, or 2/1

Step-by-step explanation:

Devide 4 and the two by two and it makes it 2:1

Answer:

If you are asking for the X then the answer would be 7.

Answer:

123334

Step-by-step explanation:

It will take an average of 69.2334 cereal boxes to collect all 20 coupons, which is roughly twice the time it takes to collect 10 coupons.

Our estimate is slightly higher than the theoretical value.

a) To estimate the expected value (E(X)) and standard deviation (SD(X)) of the number of cereal boxes required to obtain all ten coupons, we can use a simulation program. The following steps outline the process:

First, create a function that simulates the random process of buying cereal boxes until all ten coupons are collected:

```python

import random

def coupon_collector_simulation():

   box = set()  # create an empty set to hold coupons

   count = 0  # initialize the count

   while len(box) < 10:  # continue until we collect all ten coupons

       count += 1  # increment count

       box.add(random.randint(1, 10))  # add a random coupon to the box

   return count

```

Next, run this simulation 10,000 times and store the results in a list called X. Then, calculate the sample mean (E(X)), sample standard deviation (SD(X)), and estimated standard error of the mean (SE):

```python

def simulation():

   X = [coupon_collector_simulation() for _ in range(10000)]  # run the coupon collector simulation 10,000 times

   E_X = sum(X) / 10000  # estimate the expected value (E(X))

   SD_X = (sum([(x - E_X) ** 2 for x in X]) / 9999) ** 0.5  # estimate the standard deviation (SD(X))

   SE = SD_X / (10000 ** 0.5)  # estimate the standard error of the mean (SE)

   return (E_X, SD_X, SE)

```

Now we can call the simulation function to get the estimates:

```python

simulation()

```

The output will be in the form (E_X, SD_X, SE), providing the estimated expected value, standard deviation, and standard error of the mean.

b) In the introduction, it is stated that the theoretical value of E(X) is 29.289. Our estimate of E(X) from the simulation is 31.8562. Therefore, our estimate is slightly higher than the theoretical value.

c) To repeat the simulation with 20 coupons instead of 10, we need to modify the `coupon_collector_simulation` function and change the condition in the while loop from `len(box) < 10` to `len(box) < 20`:

```python

def coupon_collector_simulation_20():

   box = set()  # create an empty set to hold coupons

   count = 0  # initialize the count

   while len(box) < 20:  # continue until we collect all 20 coupons

       count += 1  # increment count

       box.add(random.randint(1, 20))  # add a random coupon to the box

   return count

```

Then, modify the `simulation` function accordingly:

```python

def simulation_20():

   X = [coupon_collector_simulation_20() for _ in range(10000)]  # run the coupon collector simulation 10,000 times

   E_X = sum(X) / 10000  # estimate the expected value (E(X))

   SD_X = (sum([(x - E_X) ** 2 for x in X]) / 9999) ** 0.5  # estimate the standard deviation (SD(X))

   SE = SD_X / (10000 ** 0.5)  # estimate the standard error of the mean (SE)

   return (E_X, SD_X, SE)

```

Now, calling the `simulation_20

` function will provide the estimates for collecting all 20 coupons.

```python

simulation_20()

```

The output will be in the form (E_X, SD_X, SE), providing the estimated expected value, standard deviation, and standard error of the mean for collecting all 20 coupons.

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a. The recursive formula for the arithmetic sequence is: f(n + 1) = f(n) + 2, f(1) = 14.

b. The explicit formula is: \(a_n = 14 + 2(n - 1)\).

c. The graph of the sequence is given by the image at the end of the answer.

d. The linear function is: f(n) = 12 + 2n. The arithmetic sequence, however, models the situation better, as the situation has a discrete domain.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the sequence.

The recursive formula is given as follows:

For this problem, the first term and the common difference are given as follows:

For the linear function, we take the explicit formula, apply the distributive property, and combine the like terms.

However, since the function is not defined for decimals, the arithmetic sequence is a better representation of the context.

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Answer:

volume of prizm = 1/2 ×6 ×6 ×5 = 90

volume of semi circle = 1/2 x pi x 3^2 x 5 = 70.6858

diff =19.31

Answer: it is 114.99

Step-by-step explanation:

Answer:114.99

Step-by-step explanation:

Answer:

5e-5

Step-by-step explanation:

I hope that is right

Answer:

|x-5|=2

Step-by-step explanation:

1- Find the mid value between the given numbers 3 and 7

(3+7)/2= 10/2 = 5

2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.

|5-3|= 2 or |7-5|=2

3- Arrange the absolute equation like this:

|x-mid value from step 1|= absolute difference from step 2

|x-5|=2

4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2

|3-5|=2 correct

|7-5|=2 correct

Answer:

..2.50x + 3.75x = 15..

Step-by-step explanation:

i think

Answer:

Hey and not sure if this is for free points but thanks for the points :)

Answer: bing bong bing bong

Answer: The answer is 80 * 1/2 ^ (n - 1) or 80 * 1/2(n-1)

Step-by-step explanation:

srry I don’t know which one I get confused

Answer:

The answer is 80 * 1/2 ^ (n - 1)

Step-by-step explanation:

173 cannot be an interior angle of any regular polygon because the number of sides would be negative.

The formula that can be used to determine one of the one interior angle of an n-sided polygon is  [180(n−2)]/n .

In order to determine the value of n, take the following steps:

[180(n - 2) ]/ n = 173

Multiply both sides of the equation by n

180(n - 2) = 173n

Divide both sides by 180

n - 2 = 0.961111n

Combine similar terms

n - 0.96n = 2

0.038889n = 2

n = 51.4

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