Please help!

The radius of a circle is 35 centimeters.

Find the area of the circle.

Use 22/7 as an approximation for pi.

1. The missing term 10, 20, 34, 48, 64, 58, 102

2. The missing term 5, 7, 11, 17, 25, 39.

3. The missing term 7, 14, 21, 28, 35, 42.

To find the missing terms in the given sequence, let us first try to identify the pattern or rule that is followed by the sequence. Then, we can use this pattern to find the missing term/s.
1. 10, 20, 34, 48, 64, ...
The given sequence does not follow a common pattern of adding or subtracting a fixed number.

However, we can notice that the differences between adjacent terms are increasing by a certain amount.
The first difference is 10, the second difference is 14, the third difference is 14 again, and so on. Therefore, we can say that the nth term is given by the formula:
nth term = \(n^2\) + 9
Using this formula, we can find the missing term, which is the 7th term:
7th term = \(7^2\) + 9 = 58
Therefore, the missing term is 58.
2. 5, 7, 11, 17, 25, ...
The given sequence does not follow a common pattern of adding or subtracting a fixed number. However, we can notice that the differences between adjacent terms are increasing by a certain amount.
The first difference is 2, the second difference is 4, the third difference is 6, and so on. Therefore, we can say that the nth term is given by the formula:
nth term = \(n^2\) + 3
Using this formula, we can find the missing term, which is the 6th term:
6th term = \(6^2\) + 3 = 39
Therefore, the missing term is 39.
3. 7, 14, 21, 28, 35, ...
The given sequence follows a common pattern of adding a fixed number (7) to each term. Therefore, we can say that the nth term is given by the formula:
nth term = 7n
Using this formula, we can find the missing term, which is the 6th term:
6th term = 7(6) = 42
Therefore, the missing term is 42.

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Question:

Find the missing term/s.

1) 10,20,34,48,64,__,102

2) 5,7,11,17,25,__

3) 7,14,21,28,35,__

The cost of the cardboard used for making 500 boxes is 1890.

To calculate the cost of the cardboard used for making 500 boxes, we need to determine the total area of cardboard required and then multiply it by the cost of the cardboard per unit area.

Total area of one box:

Length = 30 cm

Width = 20 cm

Height = 6 cm

Surface area of the box = 2 * (Length * Width + Width * Height + Height * Length)

= 2 * (30 * 20 + 20 * 6 + 6 * 30)

= 2 * (600 + 120 + 180)

= 2 * 900

= 1800 cm^2

Total area of one box including overlaps:

Additional 5% area required for overlaps = 5/100 * 1800 cm^2

= 90 cm^2

Total area of one box including overlaps = 1800 cm^2 + 90 cm^2

= 1890 cm^2

Total area of cardboard required for 500 boxes:

Total area of cardboard required = Total area of one box including overlaps * Number of boxes

= 1890 cm^2 * 500

= 945,000 cm^2

Cost of the cardboard per unit area:

Cost of the cardboard = Rs 2 for 1000 cm^2

Cost per unit area = Rs 2 / 1000 cm^2

Cost of the cardboard used for making 500 boxes:

Cost of the cardboard used = Total area of cardboard required * Cost per unit area

= 945,000 cm^2 * (Rs 2 / 1000 cm^2)

= Rs 1890

The cost of the cardboard used for making 500 boxes is Rs 1890.

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a) the total number of ordered triples in relation R is: 5 * 4 * 3 = 60

b) the cardinality of relation R is |R| = 10.

c) Since the product is not equal to 6, (2, 1, 3, 2) is not in relation R. The answer is "no".

d) Since 1 < 3 < 4 and all elements are integers between 0 and 6, (1, 3, 4) satisfies the conditions and is in relation R. The answer is "yes".

What is cardinality?

In mathematics, cardinality is a concept that refers to the "size" or "number of elements" in a set. It is a measure of the quantity of elements present in a set, disregarding any specific order or arrangement.

a) To count the number of ordered triples in relation R, we need to consider the given conditions: 0 < i < j < k < 6.

Since i, j, and k are integers, we have 5 choices for k (1, 2, 3, 4, or 5). For each choice of k, we have (k-1) choices for j (as j must be smaller than k). Finally, for each choice of j, we have (j-1) choices for i.

Therefore, the total number of ordered triples in relation R is:

5 * 4 * 3 = 60

b) To find the cardinality of relation R, we need to count the number of ordered quadruples (a, b, c, d) that satisfy the condition a * b * c * d = 6.

The prime factorization of 6 is 2 * 3, and since a, b, c, and d are positive integers, we have the following possibilities:

(2, 1, 1, 3), (2, 1, 3, 1), (2, 3, 1, 1)

(1, 2, 1, 3), (1, 2, 3, 1), (1, 3, 1, 2), (1, 3, 2, 1)

(3, 1, 1, 2), (3, 1, 2, 1), (3, 2, 1, 1)

Therefore, the cardinality of relation R is |R| = 10.

c) To determine if (2, 1, 3, 2) is in relation R, we need to check if the product of the four elements equals 6:

2 * 1 * 3 * 2 = 12

Since the product is not equal to 6, (2, 1, 3, 2) is not in relation R. The answer is "no".

d) To determine if (1, 3, 4) is in relation R, we need to check if the three elements satisfy the condition 0 < i < j < k < 6:

Since 1 < 3 < 4 and all elements are integers between 0 and 6, (1, 3, 4) satisfies the conditions and is in relation R. The answer is "yes".

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Answer:

Step-by-step explanation:30 x 2 = 60 because 8:9 get simplify by 2 and you just times the 30 with 2

Answer:

Let the common multiple be x

John's score is 8x Peter's is 9x

8x/9x-30=4/3

24x=36x-120

12x=120

x=10

John's score is 8 x 10=80

Correct me if im wrong:)

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Answer:

x = 6, extraneous

Step-by-step explanation:

When you are substituting x = 6 back into the equation, it makes the denominator = 0, so this is an extraneous solution.

Answer: 9x²-6x+5

Step-by-step explanation:

To find (gοf)(x), you want to plug f(x) into g(x). It is the same as g(f(x)).

g(f(x))=(3x-1)²+4                  [distribute by FOIL]

g(f(x))=9x²-6x+1+4              [combine like terms]

g(f(x))=9x²-6x+5  

Now, we know that (gοf)(x)=9x²-6x+5.

Answer: Hello! I'm Suga, Here is your answer.....

0.2 Meters

Step-by-step explanation:

Hope this helps your question! Anneyong!

xoxoAgustD

Answer:(-2,-4)

Step-by-step explanation:

In the given statement is :

Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?

In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.

Survivorship Curve:

The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.

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We can draw the conclusion that there is insufficient evidence to support the idea that the model explains the relationship between the independent  variable and dependent variables if the global test of statistical significance for a regression model does not reject the null hypothesis.

The global test of statistical significance for a regression model is used to assess the overall explanatory power of the model. If the global test of statistical significance does not reject the null hypothesis, this indicates that the model does not explain the relationship between the  independent variable and dependent variables as expected. This could be due to a lack of sufficient data, a poorly constructed model, or simply a lack of correlation between the variables. In any case, the results of the test should be interpreted with caution, and further investigation into the model and data may be necessary.

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Answer:

(2) x2+1+4/x+2

Step-by-step explanation:

I hope i am right sorry if i am wrong.

The division of expression will give -

f(x) = x² + 1 + 4/(x + 2)

Given is the expression as -

f(x) = (x³ + 2x² + x + 6)/(x + 2)

The given expression is -

f(x) = (x³ + 2x²)/(x + 2) + (x + 6)/(x + 2)

f(x) = x²(x + 2)/(x + 2) + (x + 6)/(x + 2)

f(x) = x² + (x + 6)/(x + 2)

f(x) = x² + (x + 2)/(x + 2) + 4/(x + 2)

f(x) = x² + 1 + 4/(x + 2)

Therefore, the division of expression will give -

f(x) = x² + 1 + 4/(x + 2)

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Answer:

add 3, add 5, add 3

Step-by-step explanation:

1, 4, 9, 12

add 3, add 5, add 3

Answer:

x^2

Step-by-step explanation:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

And so on.

So, the rule is x^2.

Answer:

It would take 1097 days for the costs in Canada to be equal (up to) the cost in China

Step-by-step explanation:

The information given in the question includes;

1) China initial fee = $1,000,000

Number of people = 10

Payment per person per day = $1

Payment for the 10 people per day = $10

Canada initial fee = $50,370

Number of people = 10

Payment per person per day = $90

Payment for the 10 people per day = $900

Step 1: Define the variables to represent unknown quantities

Let the number of days at which the cost would be equal be X

Step 2: The equations relating the variables are;

$1,000,000 + X-days × $10/day = $50,370 + X-days × $900/day

Step 3: To solve the equation we have;

$1,000,000 - $50,370 =  X-days × $900/day - X-days × $10/day

$949,360 = X-days × $890/day

X-days = $949,360 ÷ $890/day = 1067 days

Step 4: Conclusion: It would take 1097 days for the costs in Canada to be equal (up to) the cost in China

5) The difference in wages can be explained by the following;

1) Low cost of living in China compared to Canada

2) Higher unemployment figures in China

3) Government policies

6) Companies that outsource their manufacturing includes;

1) Apple 2) Cisco 3) Nike

7) Advantages of outsourcing

a) Acquire skilled labor

b) Reduce the distraction of manufacturing and focus on fundamental pursuits

c) Reduce risks

d) Improve efficiency

e) 24 hours up time business  

f) Improved workforce flexibility

g) Service improvement

h) Cost savings

8) Disadvantages of outsourcing

a) Hidden costs of production

b) Potential loss of focus

c) Increased security risks

d) Reduced central control

e) Partake in financial cost of other companies

The Taylor polynomial of degree 4 for g(x) = x^2 ln x about the center a = 1 is (x - 1) + (3/2)(x - 1)^2 + (1/3)(x - 1)^3 - (1/6)(x - 1)^4.

To find the Taylor polynomial of degree 4 for the function g(x) = x^2 ln x about the center a = 1, we first need to find the first four derivatives of g(x):

g(x) = x^2 ln x

g'(x) = 2x ln x + x

g''(x) = 2ln x + 3

g'''(x) = 2/x

g''''(x) = -4/x^3

Next, we evaluate these derivatives at x = 1 to find the coefficients of the Taylor polynomial:

g(1) = 1^2 ln 1 = 0

g'(1) = 2(1) ln 1 + 1 = 1

g''(1) = 2ln 1 + 3 = 3

g'''(1) = 2/1 = 2

g''''(1) = -4/1^3 = -4

Using these coefficients, we can write the Taylor polynomial of degree 4 for g(x) about a = 1:

P4(x) = g(1) + g'(1)(x - 1) + (g''(1)/2!)(x - 1)^2 + (g'''(1)/3!)(x - 1)^3 + (g''''(1)/4!)(x - 1)^4

P4(x) = 0 + 1(x - 1) + (3/2)(x - 1)^2 + (2/6)(x - 1)^3 - (4/24)(x - 1)^4

Simplifying and combining like terms, we get:

P4(x) = (x - 1) + (3/2)(x - 1)^2 + (1/3)(x - 1)^3 - (1/6)(x - 1)^4

Therefore, the Taylor polynomial of degree 4 for g(x) = x^2 ln x about the center a = 1 is (x - 1) + (3/2)(x - 1)^2 + (1/3)(x - 1)^3 - (1/6)(x - 1)^4.

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Answer:

-1

Step-by-step explanation:

\(\frac{10-8}{-7- - 5}\) =\(\frac{2}{-7+5}\) = \(\frac{2}{-2}\) = -1

Ordered pairs are written (x,y)  The first number is the x coordinate and the second number is the y coordinate.

(-5,8)  and (-7,10)  You take the y's and subtract them that is your numerator.  Take the x's and subtract them.  That is your denominator.

The value of a and b in terms of equation are; a = 3 + b and b = a + 18.

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given polynomial, h(t) = 2t - at + bt + 4 represents Mr. Bill's height in metres at 't seconds. "-Mr." Bill is rapidly approaching a tall brick wall which is 100 metres high and will reach the wall in 3 seconds.

h = 100 metres

t = 3 seconds

Now substitute the values;

h(t) = 2t - at + bt + 4

100 = 2(3) - a(3) + b(3) + 4

100 = 6 - 3a + 3b + 4

3a + 90 = 3b

We need to find out if Mr. Bill will clear the wall or slam into it!

h(t) = 2t - at + bt+4 has a remainder of 9 when divided by (t-1) and a remainder of "-36" when divided by (t+2).

When t = 1

Then;

h(t) = 2t - at + bt + 4

9 = 2(1) - a(1) + b(1) + 4

9 = 6 - a + b

a = 3 + b

When time t = -2

Then; h(t) = 2t - at + bt + 4

-36= 2(-2) - a(-2) + b(-2) + 4

-36 = -4 + 2a - 2b + 4

-18 = a - b

b = a + 18

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Answer: 5 \(\frac{9}{16}\) gallons

Step-by-step explanation:

   To find the total volume, we will add together all the paint values.

3/16 gallons + 1/4 gallons + 5 1/8 gallons = 5 9/16 gallons

3/16 gallons + 4/16 gallons + 5 2/16 gallons = 5 9/16 gallons

The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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Answer:

Yearly interest:

Yearly fees:

Total balance at the end of the year:

False, as negative income

Yearly interest:

Balance at the end of the year:

TRUE, as real income

False, the deals are different with +$10 and -$10

False, there is no restriction as long as it is a source of income

Answer:

Option B

. Bank B offers you a savings account with 2% annual interest rate and no fees

How?

Annual interest rate=2%

Hence annual interest

\(\\ \rm\longmapsto 500\times \dfrac{2}{100}\)

\(\\ \rm\longmapsto 5(2)\)

\(\\ \rm\longmapsto \$10\)

Now sum of money=$500+$10=$510

Using the fundamental theorem of calculus, part 2, we have evaluated the integral ∫1−1(t3−t2)dt to be -1/6.

To use the fundamental theorem of calculus, part 2 to evaluate the integral ∫1−1(t3−t2)dt, we first need to find the antiderivative of the integrand. To do this, we can apply the power rule of calculus, which states that the antiderivative of x^n is (x^(n+1))/(n+1) + C, where C is the constant of integration. Using this rule, we can find the antiderivative of t^3 - t^2 as follows:
∫(t^3 - t^2)dt = ∫t^3 dt - ∫t^2 dt
= (t^4/4) - (t^3/3) + C
Now that we have found the antiderivative, we can use the fundamental theorem of calculus, part 2, which states that if F(x) is an antiderivative of f(x), then ∫a^b f(x)dx = F(b) - F(a). Applying this theorem to the integral ∫1−1(t3−t2)dt, we get:
∫1−1(t3−t2)dt = (1^4/4) - (1^3/3) - ((-1)^4/4) + ((-1)^3/3)
= (1/4) - (1/3) - (1/4) - (-1/3)
= -1/6
Therefore, using the fundamental theorem of calculus, part 2, we have evaluated the integral ∫1−1(t3−t2)dt to be -1/6.

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The percentage change in 6) real wages between 2003 and 2012 is 41.67%. 7) The rate of price inflation from year 1 to year 2 is 11.65%. 8) To maintain the same purchasing power need to earn $58,383.18 next year.

6) To calculate the percentage change in real wages, we use the formula:

Percentage Change = ((New Value - Old Value) / Old Value) * 100.

In this case, the old value (real wages in 2003) is $12, and the new value (real wages in 2012) is $17.

Plugging these values into the formula, we get ((17 - 12) / 12) * 100 ≈ 41.67%.

7) The rate of price inflation is calculated using the CPI values for year 1 and year 2.

We use the formula: Inflation Rate = ((New CPI - Old CPI) / Old CPI) * 100.

Given the CPI values of 206 for year 1 and 230 for year 2, the inflation rate is ((230 - 206) / 206) * 100 ≈ 11.65%.

8) To find out how much money you need to earn next year to maintain the same purchasing power as the current year, we adjust the current salary based on the CPI change.

find the CPI change: (214 - 206) / 206 = 0.0388.

multiply this by the current salary: $57,000 * 0.0388 ≈ $2,383.18.

we add this amount to the current salary to get the required salary for next year: $57,000 + $2,383.18 ≈ $58,383.18.

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Answer:

180-(35+28)->180-63=117 and 180-117=63 then 63+36=99 and 180-99=81 so x=99°

Answer:

85%(estimated)

Step-by-step explanation:

150-22=128

changed ÷ original x 100%

128 ÷ 150 x 100%

≈ 85%

Question:

Which fraction is equivalent to \(\frac{2}{6}\)?

- \(\frac{3}{7}\) because \(\frac{2}{6}= \frac{2 + 1}{6 + 1}\)

- \(\frac{3}{9}\) because \(\frac{2}{6}= \frac{1}{3}\) and \(\frac{1}{3} = \frac{3}{9}\)

- \(\frac{3}{12}\) because \(\frac{2}{6}= \frac{1}{3}\) and \(\frac{1}{3} = \frac{3}{9}\)

- \(\frac{3}{8}\) because \(\frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}\)

Answer:

- \(\frac{3}{9}\) because \(\frac{2}{6}= \frac{1}{3}\) and \(\frac{1}{3} = \frac{3}{9}\)

Step-by-step explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

The equivalent of \(\frac{2}{6}\) is as explained in the selected option;

First, divide numerator and denominator by 2

\(\frac{2/2}{6/2}\)

Then simplify

2/2 = 1 and 6/2 = 3; So;

\(\frac{2/2}{6/2} = \frac{1}{3}\)

Multiply numerator and denominator by 3

\(\frac{1*3}{3*3} = \frac{3}{9}\)

Hence, \(\frac{2}{6}\) is equivalent to \(\frac{3}{9}\)

Answer:

B

Step-by-step explanation:

StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction

The expression to represent the amount of canned food collected so far is 5x² + 3xy + 2.

To write an expression that represents the number of cans the friends still need to collect to meet their goal is 2x² - 7xy + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

PART A

To write an expression to represent the amount of canned food collected so far, sum the expressions for the already collected number of cans. That is:

amount collected so far = 2x² + 3x²−4 + 3xy + 6

amount collected so far = 5x² + 3xy + 2

PART B

To write an expression that represents the number of cans the friends still need to collect to meet their goal, subtract amount collected so far from collection goal. That is:

amount left = 7x² − 4xy + 6 - (5x² + 3xy + 2)

amount left = 2x² - 7xy + 4

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Answer:

EG = 44

Step-by-step explanation:

EG, the whole thing, is 10x - 16. It says that at the top of the image. But also, under the segment, we can put together two small pieces, EF and FG. So, the whole thing could also be 4x + 20.

The two expressions both describe EG. They are equal to each other. Write an equation.

10x - 16 = 4x + 20

subtract 4x

6x - 16 = 20

add 16

6x = 36

divide by 6

x = 6

They are asking for EG. Use either expression.

EG = 4x + 20

= 4(6) + 20

= 24 + 20

= 44

or,

EG = 10x - 16

= 10(6) - 16

= 60 - 16

= 44

Actually, its a neat check to do both ways bc it should come out the same.

EG = 44

The sum of the given fraction is -1/3

Fractions are expressions written as a ratio of two integers

Given the expression below;

5/6+(-1 1/6)

Convert the mixed fraction into improper fraction

5/6+(- 7/6)

Expand

5/6 - 7/6

Subtract

-2/6

-1/3

Hence the sum of the given fraction is -1/3

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Klyancey, this is the solution:

Let's recall the formula for calculatin the Present Value:

PV = A * (1/1 + r*t)

Replacing by the values we know:

PV = 16,000 * (1/1 + 0.03 * 4)

PV = 16,000/1.012

PV = $ 14, 285.71 (Rounding to the nearest cent)

What are your answer choices?

Answer:

Can't factor..........

Step-by-step explanation:

Answer:

I'm sorry but you cant factor this expression and I checked it online:)

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