Find the surface area of the regular hexagonal prism. 3.5 cm 4cm 11cm. help ASAP​

The first five terms for this recurrence relation are: 5, -5, 5, -5, and 5.

The recurrence relation given is an = -an-1, with initial condition a0 = 5. To find the first five terms of this sequence, we can use the relation repeatedly.

a0 = 5

a1 = -a0 = -5

a2 = -a1 = 5

a3 = -a2 = -5

a4 = -a3 = 5

So the first five terms of the sequence are 5, -5, 5, -5, 5. This sequence oscillates between 5 and -5, with each term being the opposite sign of the previous term.

To find the first five terms of the recurrence relation an = -an-1 with the initial condition a0 = 5, follow these steps:

1. Start with the initial condition: a0 = 5.

2. Apply the recurrence relation formula for the next terms:

  a1 = -a0 = -5

  a2 = -a1 = -(-5) = 5

  a3 = -a2 = -5

  a4 = -a3 = -(-5) = 5

The first five terms for this recurrence relation are: 5, -5, 5, -5, and 5.

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Answer:

Salary of June = $3300

Step-by-step explanation:

Let June's salary = 100x

As given , June spent 55% of his salary

⇒ June spent = \(\frac{55}{100}\)×100x = 55x

As given , June gave 40% of the remaining to her father

⇒June gave money to her father = \(\frac{40}{100}\)×100x = 40x

Now , the equation becomes

$500 + 40x = 55x

⇒$500  = 55x - 40x

⇒$500 = 15x

⇒ x = $\(\frac{500}{15}\) = $33.33 ≈ $33

So, the salary of June = 100(33) = $3300

The given lines are intersecting but not perpendicular.

What is intersecting lines?

In Euclidean geometry, the empty set, a point, or another line can intersect another line. For instance, computer graphics, motion planning, and collision detection can all benefit from differentiating these cases and locating the intersection.

Given:

          y = 6x - 2

2x - 12y = 24

⇒  6x - y = 2         ..(1)

2x - 12y = 24       ..(2)

Multiply second equation by 3,

6x - 36y = 72           ..(3)

Subtract equation (1) from equation (3).

     6x - 12y = 24

-    6x -    y  = 2

_______________

          -11y = 22

    y = -2

Plug y = -2 in equation (1)

6x - (-2) = 2

 6x + 2 = 2

       6x = 2 - 2

       6x = 0

         x = 0

The solution of the given system is (0, -2).

Hence, the given lines are intersecting but not perpendicular.

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Answer:

30a-18

it is as siplified as possible

Answer:

30a - 18

Step-by-step explanation:

What's the distributive property?

Given the information above, let's simplify 6(5a - 3).

Therefore, the answer is 30a - 18.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

2.

(a) adding 7

(b) 40

3.

(a) three is added to every number

(b) two is subtracted from every number

(d) three is subtracted from every number

(e) four is added to every number

Answer:

6

Step-by-step explanation:

3.4/4 = .8

.8 * 7.5 = 6

Answer:

6

Step-by-step explanation:

4/3.2 = 1.25

7/1.25 = 6

x = 6

Answer:

The ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.

Step-by-step explanation:

The question is:

A company knows that if it produces "x" monthly units its utility "u" could be calculated with the expression: u (x) = - 0.04x ^ 2 + 44x-4000 where "u" is expressed in dollars. Determine the ratio of the average change in profit when the level of production changes from 600 to 620 units per month. Remember that the slope of the secant line to the graph of the function represents the average rate of change.

Solution:

The expression for the utility is:

\(u (x) = - 0.04x ^ {2} + 44x-4000\)

It is provided that the slope of the secant line to the graph of the function represents the average rate of change.

Then the ratio of the average change in profit when the level of production changes is:

\(\text{Average change in profit}=\frac{u(x_{2})-u(x_{1})}{x_{2}-x_{1}}\)

Compute the values of u (x₁) and u (x₂) as follows:

x₁ = 600

\(u (x_{1}) = - 0.04x_{1} ^ {2} + 44x_{1}-4000\)

         \(= - 0.04(600) ^ {2} + 44(600)-4000\\=-14400+26400-4000\\=8000\)

x₂ = 620

\(u (x_{2}) = - 0.04x_{2} ^ {2} + 44x_{2}-4000\)

         \(= - 0.04(620) ^ {2} + 44(620)-4000\\=-15376+27280-4000\\=7904\)

Compute the average rate of change as follows:

\(\text{Average change in profit}=\frac{u(x_{2})-u(x_{1})}{x_{2}-x_{1}}\)

                                      \(=\frac{7904-800}{620-600}\\\\=\frac{-96}{20}\\\\=-\frac{24}{5}\\\\=-24:5\)

Thus, the ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.

Answer:

The wave's wavelength λ = 5 m

Step-by-step explanation:

Explanation:-

Given that the frequency  f = 30HZ

Given that the velocity

                         'v ' = 150m/s

The wave's wavelength

                    \(= \frac{velocity}{frequency} = \frac{150}{30} = 5\)

The wave's wavelength λ = 5 m

Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

Answer:  b

Step-by-step explanation:

I think

The inequality involving an absolute value that describes the set is |X| >= 1

A real number is the value of a continuous quantity that may either be represented as an infinite decimal expansion or as a distance along a line. All rational and irrational numbers are included in the real numbers. Real numbers consist of non-zero positive and negative number, the set of real numbers is denoted using the symbol R.

Positive real numbers are denoted by

X > 0 £ R

For negative number

X < 0 £ R

Which can be combined as

-X < 0 < X £ R

The above inequality can be expressed as absolute quantity which is shown below

|X| £ R

For the line diagram given in this question showing real numbers from -5 to +5 is expressed as

-5 < X < 5 £ R

X <= -1 £ R For negative

X >= 1 £ R For positve

|X| >= 1

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Answer:

-20 Absalute value=20

14 Absalute value=14

20+14=34

Step-by-step explanation:

In dataset 60 is the data is spread more tightly around the mean than in other datasets. Accordingly, it would have a smaller standard deviation.

n dataset C, the data is spread more tightly around the mean than in other datasets. Accordingly, it would have a smaller standard deviation

Standard deviation is 60

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean. The curve at the top is more dispersed and has a greater standard deviation than the curve at the bottom, which is more concentrated around the mean and has a lower standard deviation.

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Answer:

178.67

Step-by-step explanation:

One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.

If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.

The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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Answer: x =  √9/8

answer is x = square root of 9/8

Step-by-step explanation:

Answer:

170 Bagels

Step-by-step explanation:

Add the amount of bagels from the first and second hour which equals to 71, then subtract that from the total which is 241 and you will get 170.

Answer:

B is correct

Step-by-step explanation:

the table that contains values that represent the relationship between the total charges for renting a car and driving m miles is:

| Miles driven (m) | Total charges (c) |
|------------------|-------------------|
| 0                | 45                |
| 50               | 47                |
| 100              | 49                |
| 150              | 51                |
| 200              | 53                |.

To create a table that represents the relationship between the total charges and the miles driven, we can substitute different values of m (miles driven) into the equation and solve for c (total charges).

For example, when m = 0, we have:

c = 45 + 0.04(0)
c = 45 + 0
c = 45

This means that if you don't drive the car at all (m = 0), the total charges will be $45.

Similarly, when m = 100, we have:

c = 45 + 0.04(100)
c = 45 + 4
c = 49

This means that if you drive the car for 100 miles, the total charges will be $49.

Using this method, we can create the following table:

| Miles driven (m) | Total charges (c) |
|------------------|-------------------|
| 0                | 45                |
| 50               | 47                |
| 100              | 49                |
| 150              | 51                |
| 200              | 53                |

And so on, with the total charges increasing by $0.04 for each additional mile driven.

Therefore, the table that contains values that represent the relationship between the total charges for renting a car and driving m miles is:

| Miles driven (m) | Total charges (c) |
|------------------|-------------------|
| 0                | 45                |
| 50               | 47                |
| 100              | 49                |
| 150              | 51                |
| 200              | 53                |

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Answer:

2y - 25 = 19

To get the value of y, isolate 2y from the equation.

2y = 25 + 19

    = 44

Thus, y = 44 ÷ 2 = 22.

The value of y is 22.

Answer:

sin20°

Step-by-step explanation:

Using the cofunction identity

cosx = sin(90 - x) , thus

cos70° = sin(90 - 70)° = sin20°

Answer:

x= 5/3?????

Step-by-step explanation:

try using math

way

The equation is a shorthand method for writing a mathematical rule.

The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Answer:

48 months

Step-by-step explanation:

12 times 4 48

Answer:

48 months

There's 12 months in 1 year.

So we would multiply 12 months by 4 years to get 48 months

Answer:

(1,-2)

Step-by-step explanation:

x= 1

y= 2

Answer:

12(+2)

Step-by-step explanation:

12x+24

12(x+2)

The rejection of the null hypothesis in a hypothesis test that claims the mean gestation period for a fox is more than 48.9 weeks implies there is sufficient evidence to support the claim, indicating a statistically significant difference between the observed sample mean and the hypothesized mean.

If a hypothesis test is performed that rejects the null hypothesis that the mean gestation period for a fox is 48.9 weeks or less, it means that there is sufficient evidence to support the claim that the mean gestation period for a fox is more than 48.9 weeks.

The rejection of the null hypothesis implies that the observed sample mean is significantly different from the hypothesized mean, and this difference is unlikely to have occurred by chance alone. The statistical test used to evaluate the hypothesis would have produced a p-value less than the significance level, indicating that the evidence against the null hypothesis is strong.

Therefore, the scientist can conclude that there is evidence to support their claim that the mean gestation period for a fox is more than 48.9 weeks, and this finding could have important implications for understanding fox reproductive biology and management.

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