Mathematics, 18.06.2021 17:30 taten9551

Х
5 cm
8 cm
Determine the value of x.

Answers: 3

Show answers

Answers

Answer from: Quest

(a) common ratio in the given sequence is, 3

(b) $6.973568802 \times 10^9$ push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

$a_n = a_1r^{n-1}$ , where r is the common ratio between the successive terms and $a_1$ is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term $(a_1) = 6$

then;

$a_n = a_ 1 \cdot r^{n-1}$

$a_{20} = 6 \cdot 3^{20-1}$

simplify:

$a_{20} = 6.973568802 \times 10^9$

therefore, $6.973568802 \times 10^9$ push ups will do kendall do on the 20th week

Answer from: Quest

the eight graders whould be the answer

step-by-step explanation: could you give me 5 stars

Answer from: Quest

p(x)= 8 x³ - 36 x² + 54 x - 27

q(x) = 2 x -3

you can check your mistake and then you can choose the correct option.

dividend = 8 x³ - 36 x² + 54 x - 27

divisor = 2 x -3

if you want to find quotient, proceed as follows

q(x)= 0

2 x - 3=0

x = $\frac{3}{2}$

$p(\frac{3}{2})=8 \times(\frac{3}{2})^3 - 36 \times (\frac{3}{2})^2 + 54 \times (\frac{3}{2}) - 27\\\\ 27 -81 + 81 -27=0$

now , i have used division method , to find quotient and remainder

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

Another question on Mathematics

Mathematics, 21.06.2019 19:10

What is the total surface area of this square pyramid?

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?

Answers: 3

Answer

Mathematics, 21.06.2019 23:30

Drag each equation to the correct location on the table. for each equation, determine the number of solutions and place on the appropriate field in the table.

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Why is x= 4 a solution to the proportion 14/x 56/1 6

Answers: 1

Answer

You know the right answer?

Х
5 cm
8 cm
Determine the value of x....

Questions

Mathematics, 19.05.2021 02:10

Write the equation of the line in fully simplified slope-intercept formPLEASE HELP MEE

Mathematics, 19.05.2021 02:10