What is the tenth term of the given geometric sequence: -1, 4, - 16, 64, ... ?

А: 262,144
B: 4,194,304
C: -65,536
D: -1,048,576

Answers

Answer 1

Answer:

262144

Step-by-step explanation:

Geometric sequence : -1 , 4 , -16 , 64 .....

Ratio = 2nd term ÷ 1st term = 4 ÷ (-1)= -4

a =  first term = -1

r = -4

Each term is obtained by multiplying the previous term by (-4)

nth term = [tex]ar^{n-1}[/tex]

10th term = [tex](-1) * (-4)^{9}= -1 * (-262144) = 262144[/tex]


Related Questions

Consider the triangle A(4,0), B(-2,4), C(0,6)
What will be the equation of the altitude BM?

Answers

Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

y = (2/3) x + 16/3   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

HELP ME PLEASE AND HURRY

the sum of a rational number and a rational number is rational.

-ALWAYS true
-SOMETIMES true
-NEVER true

Answers

thae answer is something true


A line with a slope of -3 passes through (-8,p) and (2,3p).
Find the value of p.

Answers

(3p-p)/(2-(-8))= -3

2p/10= -3

2p= -30

p= -15

Answer:

-15

Step-by-step explanation:

Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,

[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]

Substituting the respective values ,

[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)

Simplify ,

[tex]\longrightarrow[/tex] -3 = -2p/-10

[tex]\longrightarrow[/tex] -3 = p/5

[tex]\longrightarrow[/tex] p = 5 * -3

[tex]\longrightarrow[/tex] p = -15

Hence the value of p is -15 .

y=-2(x+4)^2+3 find the y-intercept

Answers

Answer:

( 0, -29)

Step-by-step explanation:

Answer: ( I solve (more like the internet solve) for both x and y.

Step-by-step explanation: To find the x-intercept, substitute in  0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

9x-5
14x+24 A

Determine the value of x.

A) x = 32.2
B) x = -5.8
C) x = -7
D) x = 7​

Answers

Answer:

letter

B. =-5.8

Step-by-step explanation:

hope its help

$D$ is on side $\overline {AB}$ of $\triangle ABC.$ We know $\triangle ABC \sim \triangle ACD$ and $\angle A =48^\circ.$ If $BC=BD,$ what is $\angle B$ in degrees?

Answers

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles

The measure of ∠B is 44°

Reason:

The known parameters are;

The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC

ΔABC ~ ΔACD,

∠A = 48°

BC = CD

Required:

The measure of angle ∠B

Solution:

ΔBDC is an isosceles triangle

Let x, represent ∠B

Therefore, ∠BDC = x, by base angles of an isosceles triangle

Given that  ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;

∠ADC = 2·x by exterior angle of a triangle theorem

Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x

Which gives;

48° + x + 2·x = 180° sum of angles in a triangle theorem

[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]

∠B = x = 44°

The measure of ∠B = 44°

Learn more about angles in a triangle here:

https://brainly.com/question/956912

Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. a. Calculate the probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage. b. Calculate the probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes. c. Calculate the mode of the number of hurricanes it takes for the home to experience damage from three hurricanes.

Answers

Using the binomial distribution, we find that:

a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

c) The mode is of 7.5 hurricanes.

For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

It gives the probability of exactly x successes on n trials, with p probability.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The mode of the number of trials needed for q successes is given by:

[tex]M = \frac{q}{p}}[/tex]

In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].

Item a:

This is the probability of at most 1 damage in 3 hurricanes, which is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

With [tex]n = 3[/tex].

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]

[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]

0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

Item b:

1 in the first three, with 0.432 probability.Damage in the fourth, with 0.4 probability.

Then

[tex]0.432(0.4) = 0.1728[/tex]

0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

Item c:

Damage from 3 hurricanes, thus q = 3.

Then:

[tex]M = \frac{3}{0.4}} = 7.5[/tex]

The mode is of 7.5 hurricanes.

A similar problem is given at https://brainly.com/question/24923631

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer: 20

Step-by-step explanation:

so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20

your friend is trying to guess how much money you make at your job, so you give them a riddle. You tell your friend that you work 3 hours on Friday and 6 hours on Saturday, And that you also receive an allowance of $20 from your parents.. In total you are $92 every week. What would your friend have to guess your wage is in order to be correct?​

Answers

Answer:

$8 an hour

Step-by-step explanation:

1.) 92 - 20 = 72

2.) 3 x 8 = 24

3.) 6 x 8 = 48

4. 24 + 48 = 72

       

         OR

1.) 92 - 20 = 72

2.) 6 + 3 = 9

3.) 72 / 9 = 8

either way to solve gives you the correct answer as shown above. Also if answer is correct please leave ”thanks” heart

Distributive property 79x36

Answers

Answer:

1(79 x 36)

Step-by-step explanation:

**The domain of f(x) = 3x + 2 is
{-1 in the range?

Answers

Answer:

Yes

Step-by-step explanation:

Graph this function on your calculator and you will see an upwards graph, if the range (y), -1 can be mapped on the graph, it is within the range.

Am i right on this one?

Answers

Answer:

yes

Step-by-step explanation:

brainliest please

Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right

What is the product of (3y^-4)(2y^-4)

6/y^6
1/6y6
6/y16
1/6y16

Answers

Answer is 1/6y16 that’s the answer

3. Show that x = –1 and y = 3 satisfy the linear equation 2x + 3y = 7.


4. Write three solutions for the equation 2x + 3y = 8.​

Answers

Step-by-step explanation:

2x+3y=7

solution

2-1+3+3

1+6

7 ans

Suppose that the relation T is defined as follows.
T={(2, 2), (1, -7), (-5, 3), (3, 0)}
Give the domain and range of T.
Write your answers using set notation.

domain =

range =

Answers

The domain is all of the x values which are the first number in each set of parentheses and the range is all of the y values therefore domain = {2, 1, 5, 3} and range= {2, -7, 3, 0}

PLEASE HELP, ILL GIVE MANY POINTS AND BRAINLIEST ANSWER TOTHE FASTEST ONE

Answers

Answer:

WHATS THE QUESTION

Step-by-step explanation:

???rrtrttt r the r

PLEASE HELP ITS MATH THANK YOUUUU

Answers

1millimeter = 1cm I think

plz i need help walk me through it, thanks​

Answers

Answer:

[tex]p=36^{\circ}[/tex]

Step-by-step explanation:

We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is [tex]90^{\circ}[/tex].

Because all the angles of a triangle sum to [tex]180^{\circ}[/tex], we have that [tex]p+54+90=180[/tex].

We combine like terms on the left side to get [tex]p+144=180[/tex].

We subtract [tex]144[/tex] on both sides to get [tex]p=36[/tex].

So, [tex]\boxed{p=36^{\circ}}[/tex] and we're done!

4 consecutive integers of 182

Answers

44,95,96,97

Step-by-step explanation:

first just do gcf and find your numbers with x

Please help with the homework please thanks

Answers

I have written the answers and the steps on a piece of paper.

he product of two whole numbers is 864 and their sum is 60 . What are the two numbers?

Answers

Answer:

Step-by-step explanation:

xy = 864

x + y = 60                     Solve for y in the second equation

y = 60 - x                      

x * (60 - x) = 864          Remove the brackets.

60x - x^2 = 864           Put in order of powers and subtract 864

-x^2 + 60x - 864 =0    Multiply through by -1

x^2 - 60x + 864 = 0

This factors

(x - 36)(x - 24) = 0

Either

x - 36 = 0    in which case

x = 36

or

x - 24 = 0

x = 24

The two numbers are x = 36 and y = 24

of x = 24 and y = 36

you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?

Answers

Answer:

Step-by-step explanation:

It will take 6weeks for you to have$150

7. (4x - 13) (2x + 37 what is x?

Answers

Answer:

8 x2 + 2x - 91

Step-by-step explanation:

56x2 + 4x -637

During hockey practice, Jason skates 180 yards in 20 seconds.


Based on his average speed, approximately how many yards will he skate in the next 15 seconds?whoever answers first will be marked the brainliest

Answers

The approximate yards Jason will skate in the next 15 seconds is 135 yards

Given that :

Number of yards skate in 20 seconds = 180 yards

The rate per second cannbe calculated thus :

Rate = distance / time Rate = 180 / 20 = 9 yards per second

The distance skate in 15 seconds will be:

Distance = time × rate

Distance = 15 × 9 = 135 yards

Therefore, Jason will skate 135 yards in the next 15 seconds.

Learn more :https://brainly.com/question/18904995

Pepe’s Pizza makes 26 pizza crusts the first week and 180 pizza crusts each subsequent week. Dianne’s Delicatessen makes 52 pizza crusts the first week and 167 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by Pepe’s Pizza be the same as the number of pizza crusts made by Dianne’s Delicatessen? Explain and show work to support your answer.

Answers

Answer: the total number of pizza crusts made by Pep's Pizza

equals twice the total number of pizza crusts

made by Dianne's Delicatessen when:

+52+%2B+180n+=+2%2A%28+26+%2B+90n+%29+

+52+%2B+180n+=+52+%2B+180n+

This equation is satisfied for any value of +n+,

so Pepe's always makes twice as much as Dianne's

Step-by-step explanation:

Solve this equation to determine the number of solutions 3(2 + 4) - 2 = 2(2x + 5) - 2 Plsss help its do today and I leave for school in 20 minutes I have one more question after this! ​

Answers

Answer:

duh

Step-by-step explanation:

simplify 2√2-3/√2+4/√8​

Answers

Answer:

This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well

At midnight in Alaska, the temperature in Sitka is 29.7 degrees Fahrenheit.
Each hour after that the temperature decreases by 1.23 degrees until the sun comes up.
What is the temperature 2 hours after midnight?

Answers

Temperature

Level : JHS

the temperature in Sitka 2 hours after midnight is :

= 29.7°F + (2 × 1.23°F)

= 29.7°F + 2.46°F

= 32.16°F

So, the temperature in Sitka 2 hours after midnight is 32.16°F

#LearnWithEXO

Answer:

27.24° F

Step-by-step explanation:

Initial temperature = 29.7° FDecrease rate = 1.23° F / h

After 2 hours the temperature is:

29.7° F - 2*1.23° F = 27.24° F

please help me out
find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

Answers

Answer:

(-19,15)

Step-by-step explanation:

solve the attached question.
NO spam!
Step by step explanation needed!​

Answers

Step-by-step explanation:

hi I need help please, you can help me?

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