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Svetradugi [14.3K]
3 years ago
12

Find the 19th term of the arithmetic sequence whose common difference is =d5 and whose first term is =a12.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
An=a1+d(n-1)
a1=first term
d=common difference
n=which term

common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41

19th term is 41
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Evaluate the given expression if a​ = 2 and ​b​ = -4 <br> a2-b3
IceJOKER [234]

Answer:

31

Step-by-step explanation:

{a}^{2}  -  {b}^{3}  \\  \\  =  {(2)}^{2}  -  {( - 3)}^{3}  \\  \\  = 4 - ( - 27) \\  \\  = 4 + 27 \\  \\  = 31

5 0
3 years ago
One-half of the sum of a number and 12 is less than 27.  What is the number?  Write as an inequality.  ​
kirill115 [55]

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

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3 0
2 years ago
What is the equation of an asymptote of the hyperbola whose equation is (x-2)^2/4 - (y-1)^2/36 = 1?
UNO [17]

Answer: it’s C. Y=3x-5

4 0
3 years ago
What is 8.25 as a fraction in simplest form?
vekshin1
8 is a whole number, so this will be the whole number part of our mixed number.

0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.

\sf\dfrac{25}{100}

Simplify by dividing 25 to the numerator and denominator.

\sf25\div25=1
\sf100\div25=4

So our fraction is \sf8\dfrac{1}{4}

0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.

\sf\dfrac{55}{100}

Simplify by dividing 5 to the numerator and denominator.

\sf55\div5=11
\sf100\div5=20

So our fraction is \sf\dfrac{11}{20}

\sf\dfrac{5}{8}

To convert this to a decimal, just divide 5 / 8

\sf5\div8=0.625
3 0
2 years ago
Read 2 more answers
1. A field in the form of a parallelogram has one
klio [65]

Answer:

420m²

Step-by-step explanation:

Given that:

Length of diagonal = 42m

Lenght of outlying vertice = 10 m

Area of paralellogram = 2 " (area of triangle)

Area of triangle = 1/2 * base * height

Hence,

Area of parallelogram :

Area = 2(0.5 * 42 * 10)

Area = 2 (210)

Area = 420m²

8 0
3 years ago
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