I just had a quick question. Do I just take the outside angle and divide by 2 to get my answer?

Answer:

900

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is given by the formula:

\(S=(n-2)180\)

The polygon given has 7 sides. Substitute 7 for n. Thus:

\(S=(7-2)180\\S=5(180)\\S=900\)

The sum of the interior angles is 900 degrees.

Answer:

ok first we can simplyfy 4 3/6 to 4 1/2 and 5 4/8 to 5 1/2 so

4 1/2* 5 1/2

now we need to convert into improper fractions so

9/2*11/2=99/4 then we need to simplfy

24 3/4

Hope This Helps!!!

Answer: The vertex is (-4,1)

Explanation: I used -b/2a to find the x, then plugged in -4 to find the y, which is 1.

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

In mathematics, a percentage is any value that can be written as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

This is a radioactive decay / half-life problem.

Initial amount of C 14 = 100% Present Amount = 57%

k = .0001  (that value should be negative)

Nt = No * e^ (k*t)

You need to solve that equation for "time" (equation attached)

time = natural log (Ending amount / Starting Amount) / k

time = natural log (57% / 100%) / -.0001

time = ln (.57) / -.0001

time = -.56211891815 / -.0001

time = 5,621.2 years    (age of the bird skeleton)

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

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The complete question is "A geologist in South America discovers a

bird skeleton that contains 57% of its

original amount of C-14.

N = Noekt

No = inital amount of C-14 (at time

t = 0)

N = amount of C-14 at time t

k = 0.0001

t = time, in years

Find the age of the bird skeleton to the nearest year"

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

9514 1404 393

Answer:

Step-by-step explanation:

Let n represent the number of necklaces Rosaria ordered. Then the total cost of the order is ...

  10(120 -n) +11(n) = 1270

  n = 70 . . . . . . . . . . . . . simplify, subtract 1200

  120 -70 = 50 . . . . . . . the number of bracelets

Rosaria purchased 70 necklaces and 50 bracelets.

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

gave $50  - got back $10.50 = it payed $39.50 for 2 pots

$39.50 /2 = $19.75 payed for one pot taxes included

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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we want to find the number of hours (or rather days) until only 4.25% of the drives fail.

that means for an exponential distribution we have

P(X < x) = 1 - e^(-Lx)

L = 1/mean = 1/12500

and we need to find x, so that P(X <x) = 0.0425 (that is 4.25% converted into a probability).

so, we get

0.0425 = 1 - e^(-x/12500)

0.0425 - 1 = -e^(-x/12500)

-0.9575 = -e^(-x/12500)

0.9575 = e^(‐x/12500)

ln(0.9575) = -x/12500

-x = ln(0.9575)×12500

x = -ln(0.9575)×12500 = - -0.043429558...×12500 =

= 0.043429558...×12500 = 542.8694741... hours

after 542.8694741... hours = 22.61956142... days

it is expected that 4.25% of the hard drives fail.

you left out to what decimal this should be rounded. and if you need hours or days. in case of doubt use hours (as the only other time information is given in hours).

please round yourself as you need.

The value of all the expression which have x = 5 asymptotes are,

⇒ g (x) = 3 log (x - 5)

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ f (x) = (3x + 20) / (x - 5)

We have to given that,

All the expressions are,

⇒ g (x) = 3 log (x - 5)

⇒ f (x) = √(x - 5) + 2

⇒ h (x)= eˣ⁻⁵

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ h (x) = - ∛(x - 5) + 1

⇒ f (x) = (3x + 20) / (x - 5)

Now, We can check all the expressions for which have x = 5 asymptotes.

Hence, We can substitute x = 5 in each expression and check all expression as which are not defined at x = 5,

⇒ g (x) = 3 log (x - 5)

Substitute x = 5;

⇒ g (x) = 3 log (5 - 5)

⇒ g (x) = 3 log (0)

Which is undefined.

⇒ f (x) = √(x - 5) + 2

Substitute x = 5;

⇒ f (x) = √(5 - 5) + 2

⇒ f (x) = 2

Which is defined.

⇒ h (x)= eˣ⁻⁵

Substitute x = 5;

⇒ h (x)= e⁻⁵

Which is defined.

⇒ g (x) = log₁₀ (- x + 5) -  4

Substitute x = 5;

⇒ g (x) = log₁₀ (- 5 + 5) -  4

⇒ g (x) = log₁₀ (0) -  4

Which is undefined.

⇒ h (x) = - ∛(x - 5) + 1

Substitute x = 5;

⇒ h (x) = - ∛(5 - 5) + 1

⇒ h (x) =  1

Which is defined.

⇒ f (x) = (3x + 20) / (x - 5)

Substitute x = 5;

⇒ f (x) = (3x + 20) / (5 - 5)

⇒ f (x) = (15 + 20) / (0)

Which is undefined.

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Answer:

-5

Step-by-step explanation:

Yan po sagut

Sana makatulong

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:

The answer is 140

Step-by-step explanation:

Answer: 2. 204

3. 370

4. 140

5. 4

6. 48

7. 251

8. 16

9. 629

10. 2

11. 170

12. 97

13. 180

Step-by-step explanation:

The value of x does not exist.

What is Quadratic equation?

A quadratic equation is a second-degree polynomial equation in a single variable of the form ax^{2} + bx + c = 0, where a, b, and c are constants and x is the variable. The highest exponent of the variable in a quadratic equation is 2, and the equation can be written in standard form, where the coefficient of the squared term (a) is not equal to zero.

The given expression is:

5x² - √3x + 2

This is a quadratic expression in the variable x, which means that it can be written in the form of ax² + bx + c, where a, b, and c are constants. In this case, we have:

a = 5

b = -√3

c = 2

We can use the quadratic formula to find the roots of this expression:

x = [-b ± √(b² - 4ac)] / 2a

Now, putting the values of a, b, and c, we get:

x = [-(-√3) ± √((-√3)² - 4(5)(2))] / 2(5)

Now, Simplifying the expression under the square root, we get:

x = [√3 ± √(-71)] / 10

Since the expression under the square root is negative, there are no real roots to this equation. Therefore, the expression 5x² - √3x + 2 has no real solutions.

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Answer:

h = 6

Step-by-step explanation:

h is the short leg for AD in ΔADC: AD = 12

h is the long leg for DB in ΔCDB: DB = 3

Hence:

12/h = h/3

3 * 12/h = 3 * h/3  ==> isolate h by multiplying 3 on both sides

36/h = h

h * 36/h = h*h  ==> multiply by h on both sides to remove fractions

36 = h^2

h = \(\sqrt{36}\)

h = 6

Answer:

(no solutions exist)

Step-by-step explanation:

f(x)=-8+4 has no roots

Answer:

Utilizing storytelling to transmit educational messages is a traditional pedagogical method practiced by many American Indian tribes. American Indian stories are effective because they present essential ideas and values in a simple, entertaining form. Different story characters show positive and negative behaviors.

Step-by-step explanation:

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

I'm not 100% sure but I think it's C.

it might also be B. it's one of those 2 for sure but I'm like %80 sure it’s C.

Step-by-step explanation:

please let me know if im right or wrong....

"A school sports team sold candy bars to raise money for new uniforms.", The team sold the same amount of candy bars at

Week 3. 17/51 or 0.33 Option C.

This is further explained below.

Generally,  to give up something of worth in exchange for money or another commodity of value My brother bought the bicycle from him so that he could put it up for sale. The shop is a retailer of footwear. to be marketed or given a price The new product is doing quite well in the marketplace. Each one of them retails for one dollar.

In conclusion, The week with the highest percentage of sales is week three as

17/51>>8/25>>32%

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The total length of the segment AD will be 52 units.

The complete question is given below:-

The figure shows segment A D with two points B and C on it in order from left to right. The length of segment A B is 22 units, the length of segment BC is 19 units, and the length of segment C D is 11 units. What will be the total length of the segment AD?

The measure of the size of any object or the distance between the two endpoints will be termed the length. In the question the total length is AD.

Given that:-

The total length will be calculated as:-

The total length will be equal to the sum of all the segments of line AD. It will be the sum of AB, BC and CD.

AD = AB + BC + CD

AD = 22 + 19 + 11

AD = 52 units

Therefore the total length of the segment AD will be 52 units.

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Answer:

$159.24 is the balance after 9 months is the answer that you seek

Step-by-step explanation:

Answer:

the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Step-by-step explanation:

To find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250, we can use the formula for the future value of an annuity:

FV = Pmt x ((1 + r/n)^(n x t) - 1) / (r/n)

where:

FV = future value

Pmt = monthly payment

r = annual interest rate

n = number of compounding periods per year

t = time in years

In this case, we have:

Pmt = $250

r = 8%

n = 12 (since payments are made monthly)

t = 9/12 = 0.75 (since 9 months is three-quarters of a year)

Substituting these values into the formula, we get:

FV = $250 x ((1 + 0.08/12)^(12 x 0.75) - 1) / (0.08/12)

FV ≈ $2,366.98

Therefore, the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer:-8

Step-by-step explanation:

You are basically adding -4+(-4)

Answer:

Step-by-step explanation:

2(-4)

2 x -4

answer: -8

Solution

- The solution steps are given below:

Answer:

Step-by-step explanation:

If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

A relation is a function if it has only One y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

If f(x)=x²+4

Then we have to prove f⁻¹of(x)=f⁻¹(f(x)

Let us consider fof⁻¹(x)

f(f⁻¹(x))

x

So (fof⁻¹(x))=x

Now f⁻¹of(x)=f⁻¹(f(x)

=x

Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

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Answer:

Step-by-step explanation:

well if you know the term than you know the pattern