Hello! I need help with #2 and #3 please!

The 47th term in the given arithmetic sequence is 34.

Given,

The arithmetic sequence = 310, 304, 298,......

First term of the sequence, t₁ = 310

Common difference of the sequence, d = t₂ - t₁ = 304 - 310 = -6

nth term of an arithmetic sequence, tₙ = t₁ + ( n - 1) d

We have to find the 47th term of the arithmetic sequence.

That is, n = 47

So,

t₄₇ = 310 + (47 - 1) -6

t₄₇ = 310 + (46 x (-6) )

t₄₇ = 310 - 276

t₄₇ = 34

Therefore, the 47th term in the given arithmetic sequence is 34.

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C. 12/1 > 1 is the inequality which is true as 12/1 is 12 and 12 is obviously greater than 1.

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Inequality issues can be expressed as either questions or theorems, and both can be resolved using techniques that are similar to those used to resolve equations.

The triangle inequality, for instance, stipulates that the length of the remaining side of a triangle is more than or equal to the sum of the lengths of any two of its sides. Many of these inequalities are used in the proofs of mathematical analysis' most significant theorems.

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Answer:

-15-13=

-28

-11-9-7

-27

Answer:

120

Step-by-step explanation:

consider
1st angle= a
2nd angle = b
3rd angle = c

now,
b=5a ............. equation 1
c = a+12 ........ equation 2

as we know in a triangle, sum of all angle is 180.

so
a+b+c = 180
=> a +5a + (a+12 ) = 180
=> 7a = 180-12 =168
=> a = 168/7 = 24

so a= 24
b = 5(24) = 120
c = a+12 = 24+12 =36

so b = largest = 120

The number of cockroaches in Chandler in the year 2025 will be 3237500 or 3.23 million approx

Approx number of cockroaches in the year 2020 in Chandler = 3500000 or 3.5 million

Percentage decrease in cockroaches every 12 years = 18%

Percentage decrease in cockroaches every year = 18/12 = 1.5%

So, in 5 years the percentage decrease in cockroaches will be = Percentage decrease every year*No. of years = 1.5*5 = 7.5%

The number of cockroaches in 2025 will be: 3500000 - 7.5% of 3500000

= 3500000 - 7.5/100*3500000

= 3500000 - 262500

= 3237500

Hence, the number of cockroaches in Chandler in the year 2025 will be 3237500 or 3.23 million approx

Although a part of your question is missing, you might be referring to this full question: Suppose a study is completed that finds that the number of cockroaches in chandler decreases by 18% every 12 years. I’m 2020, there were approximately 3.5 million cockroaches in chandler.

Assuming the number of cockroaches is changing exponentially, how many cockroaches do you estimate there will be in 2025 (5 years later)

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Answer:

D. 285 cm

Step-by-step explanation:

Answer: D: 285 CM

Step-by-step explanation:

To find the perimeter you need to multiply its sides by its measure. It gives you in this case 57x5: 285

The total cost of using the old car is $4,679.29

The total cost of using the newer car is $ 8,896.25.

The total cost of using the old car: (cost of maintenance x number of years) + ( miles driven to work / miles per gallon x cost per gallon x number of weeks in a year x number of years)

 ($870 x 3) + (110 / 17 x $2.05 x 52 x 3)

$2,610 + 2069.29 = $4,679.29

The total cost of using the newer car : purchase price + (cost of maintenance per month x number of months in year x number of years) + (miles driven to work in a week / number of miles per gallon x weeks in  year x number of year)

$8000 + ($10 x 12 x 3) + (110 / 32 x 52 x 3)

$8000 + 360 + 536.25 = 8,896.25

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The measure of a negative angle which is coterminal with the angle 180° as given in the task content is; -180°.

It follows from the task content that the negative angle which is coterminal with 180°.

On this note, it follows that the negative angle corresponds to a clockwise direction while the positive corresponds to an anticlockwise direction.

Hence, the required angle which is coterminal is; -180°.

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Answer:

Answer is A. 0344

Step-by-step explanation:

46*8 - 3* 8

= 43*8

= 344

Answer:

Step-by-step explanation:

SQ=17

SU=SQ+UQ=17+17=34

Answer:

SQ= 17 SU=34

Step-by-step explanation:

Diagonals of parallelogram bisect each other so UQ=QS and so, QS=17 and SU = 2UQ = 34

Answer:

The HCF of 42 and 18 is 126

Answer: 6

Step-by-step explanation:

factors of 18 = 1, 2, 3, 6, 9, 18

factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42

The HCF is therefore 6

Answer:

75%

Step-by-step explanation:

% = (6/8)(100) = 600/8 = 75

Hope this helps

Answer:

5/9 dydgsusg6xhsxigdsys5suxts7xysustx7s

Answer:

Mixed number - 1 1/6

Improper fraction - 7/6

Step-by-step explanation:

The goal of the question is to get you to add the 2 distances the beetle crawled together.

First you have to give the fractions the same denominator.

5/6 & 2/6 (to change 1/3 to 2/6 multiply the top and bottom by 2)

Then you simply add the numerators.

5+2/6

7/6

Since this can't be simplified anymore that is your answer.

Mixed number - 1 1/6

Improper fraction - 7/6

Answer:

y=5 would be the equation

Step-by-step explanation:

when the line is horizontal you would take the y coordinate of the coordinate given to you and put that into y=n with n being the value of the y coordinate

if the line were vertical you would take the x coordinate of the coordinate given to you and put that into x=n with n being the value of the y coordinate

Answer:

4,214.166666666667

Step-by-step explanation:

that's the answer i am in high school but i asnswer your question

The algebraic expression that represents the total cost would be: A. 1.25r.

Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:

cost of each donut = $1.25.

Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.

Thus:

1 donut = 1.25

r donuts would cost: 1.25 × r = 1.25r.

Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.

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Answer:

-17/8

Step-by-step explanation:

cscx = 1/sinx

sinx = -8/17

cscx = -17/8

Answer:

I think the answer is, 2

Step-by-step explanation:

A number added to 4 is 2 = 6

The number added 2 times 3 = 6

I hope you get this this right.

Answer = 2

Answer:

190 / 360 = 0.52777777

0.527777 x 100 = 52,78%

Answer: Linear graph definition

Step-by-step explanation: A linear graph is a straight line that connects the x and y coordinates

Please see the attached image for your answer. Hope this helps!  

Answers:

=========================================================

Work Shown:

x = smallest side

y = medium side

z = largest side

x = y-79

z = y+377

x+y+z = perimeter

x+y+z = 3064

(y-79) + (y) + (y+377) = 3064

3y + 298 = 3064

3y = 3064-298

3y = 2766

y = 2766/3

y = 922

x = y-79

x = 922-79

x = 843

z = y+377

z = 922+377

z = 1299

------------------

Summary:

x = 843, y = 922, z = 1299

Check:

x+y+z = 843+922+1299 = 3064

which matches the given perimeter, so the answer is confirmed.

The amount generated by the invested amount of $500 which is compounded quarterly will be $610.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.

If $500 had been invested at an annualized rate of 8%, the money would have after 2.5 years. For the quarterly, the value of n will be 4. Then the amount will be

[tex]\rm A = 500 \left (1 + \dfrac{0.08}{4} \right)^{4 \times 2.5}[/tex]

Simplify the equation, then the amount is given as,

A = 500 (1 + 0.02)¹⁰

A = 500 (1.02)¹⁰

A = 500 x 1.22

A = $610

The amount generated by the invested amount of $500 which is compounded quarterly will be $610.

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The height of parallelogram is 6

In geometry, parallelogram is a shape which is a type of quadrilateral. A parallelogram has 2 pair of sides which are parallel. Thus, we can say that a parallelogram is a quadrilateral of 2 pair of parallel sides. The opposite sides of parallelogram are of equal side.

Parallelogram is a convex polygon, which is a 2-dimentional geometric shape.

Important formulas of Parallelogram :

In the given question,

base of parallelogram = 9

height = 2/3

Also, area = base . height

therefore, area = 9 . 2/3 = 3.2 = 6

The height of parallelogram is 6

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The complete question is:

A parallelogram has a base of 9 and a corresponding height of 2/3 . what is the area of the parallelogram.

The surface area of the square pyramid when the base is 12 and slant is 10 cm is 384cm².

It should be noted that the total surface area will be:

= b² + 2bs

where b = base length

s = slant height

Surface area = (12)2 + 2(12)(10)

Surface area = 144 + 240

Surface area = 384cm².

In conclusion, the surface area of the square pyramid when the base is 12 and slant is 10 cm is 384cm².

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The point of intersection of the given two lines y = 4x - 1 and y = -2x + 5  is (1, 3).

According to the given question.

We have two equations

y = 4x - 1 ..(i)

and

y = -2x + 5 ..(ii)

As we know that, the point at which two lines intersect is called point of intersection.

Therefore, the point of intersection for the two lines y = 4x - 1 and y = -2x + 5  is given by

Subtracting equation ii from i

y - y = 4x - 1 + 2x -5

⇒ 0 = 6x - 6

⇒ 6x = 6

⇒ x = 1

Substitute the value of x in (i).

y = 4 - 1 = 3

Hence, the point of intersection of the given two lines y = 4x - 1 and y = -2x + 5  is (1, 3).

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Answer:

frrssetuii7ehhuytddcjiddfg

Answer: x+2

Step-by-step explanation:

even integers have a difference of 2 since the next even integer is after an odd integer. Hence, x+2 is the next even integer after x.