Please help very urgent

Please Help Very Urgent

Answers

Answer 1

Answer:

(a)

[tex]T_n = 3(-4)^{n-1}[/tex]

(b)

[tex]\sum\limits^n_1 { 3(-4)^{n-1}[/tex]

Step-by-step explanation:

Given

The above sequence

Solving (a): The explicit formula

The given sequence is a geometric sequence because the common ratio (r) is:

[tex]r = \frac{-12}{3} = \frac{48}{-12} = \frac{-192}{48} = \frac{768}{-192}[/tex]

[tex]r = -4[/tex]

The explicit formula is calculated using the n term of an GP.

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

[tex]T_n = 3 * (-4)^{n-1}[/tex]

[tex]T_n = 3(-4)^{n-1}[/tex]

Solving (b): Summation notation.

This implies that the sum of the sequence.

To do this, we write Tn inside the summation sign

i.e.

[tex]\sum\limits^n_1 {T_n}[/tex]

Substitute values for Tn

[tex]\sum\limits^n_1 { 3(-4)^{n-1}[/tex]


Related Questions

what is vaule of y when x=4'5

Answers

Answer:

[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

[tex]x = \frac{4}{5}[/tex]

Required

Find y

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

Substitute [tex]x = \frac{4}{5}[/tex]

[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]

[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]

Collect like terms

[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]

[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]

Split the surd

[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]

Rationalize

[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]

Take LCM and add

[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]

[tex]y = \frac{2\sqrt5+6}{5}}[/tex]

or solve as:

[tex]y = \frac{2*2.24+6}{5}}[/tex]

[tex]y = \frac{10.48}{5}[/tex]

[tex]y = 2.096[/tex]

Help needed , I don’t understand

Answers

Hello!

This problem is about relating parallel and perpendicular lines with a given point.

What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.

Using this information, let's look at the first part.

We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].

Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.

[tex]y=6x+b[/tex]

[tex]-3=6(4)+b[/tex]

[tex]b=-27[/tex]

So the line would be [tex]y=6x-27[/tex].

Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.

We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.

[tex]y=-\frac{1}{6}x+b[/tex]

[tex]-3=-\frac{1}{6}(4)+b[/tex]

[tex]b=-\frac{7}{3}[/tex]

So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].

Hope this helps!

A prism is filled with 59 cubes with 1 2 unit side lengths. What is the volume of the prism in cubic units?

Answers

Answer:

V = 2832 m3 only if that 1 2 is a 12 if that is not a 12 it is wrong

Step-by-step explanation:

PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

Answer:

30 or 60 both work

Step-by-step explanation:

please make me branlest

30 or 60 are good but like i want that brainliest

William throws a football at a rate of 60 feet per second. How long will it take the football to travel 120 feet?
A. 2 sec.
B. 3 sec.
C. 4 sec.
D. 6 sec.

Answers

A - just double it hope it helps

Answer:

A

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<g = 129°

alternate interior angles

Step-by-step explanation:

hope this helps! :)

G is 129°

Angles g and f are vertical angles.

the image is to show why :)

Jeremy has 5 of a pound of rice. Shaila has to of a pound of rice.
Which statement best describes the total amount of rice that Jeremy and Shaila have?

Answers

Hi, you've asked an incomplete question. The full question reads;

Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?

a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.

b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.  

c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Answer:

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Step-by-step explanation:

Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).

Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).

Find the value of x.

Answers

2x+1+71=180
2x+72=180
2x=180-72
2x=108
x=54

answer ;

2x + 1 + 71 = 180 2x + 72 = 180 2x = 180 - 72 = 108x = 108/2

( refer the attachment for division )

hence , x = 54

Write an expression equivalent to
b10/b5
in the form bm.

Answers

Answer: M equals 7. So it would be b^7. When you multiply exponents you add them. When you divided them you subtract

Step-by-step explanation:

The equivalent expression will be b⁵.

What is an expression?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc.

Given an expression b¹⁰/b⁵,

We need to find an equivalent expression for the same,

So,

Using the identity,

mᵃ ÷ mᵇ = mᵃ ÷ mᵇ

= m⁽ᵃ⁻ᵇ⁾

Therefore,

b¹⁰/b⁵ = b⁽¹⁰⁻⁵⁾

= b⁵

Hence, the equivalent expression will be b⁵.

Learn more about expression click;

https://brainly.com/question/14083225

#SPJ2

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.

Answers

Answer:

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Standard deviation of 1 minute.

This means that [tex]\sigma = 1[/tex]

Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.?

This is the pvalue of Z for X. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - \mu}{1}[/tex]

[tex]Z = X - \mu[/tex]

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

ABCD is a rhombus. The measure of angle <1 = 58°

true
or
false ​

Answers

Answer:

False

Step-by-step explanation:

In a rhombus, the diagonals are always perpendicular.

Suppose one serving of vegetables is 3/4 cup. How many servings there in 3 1/2 cups?

Explain your reasoning​

Answers

Answer:

14/3 or 4.6

Step-by-step explanation:

you would do 3.5 divided by .75 (=^w^=)

Check this out mate! Good luck

Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?

Answers

Answer:

156 is the tax

Step-by-step explanation:

2600 x .06 = 156

Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surface area of the shaker?

Answers

Answer:

1507.96

Step-by-step explanation:

for a triangle with the lengths of its sides of 5,13 and 14, determine if it is a right angle

Answers

Answer:

it is

Step-by-step explanation:

3 x f(−4)−3 x g(−2)=

Answers

Answer:

−12+6

Step-by-step explanation:

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) Twenty darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit.
expected value
variance
standard deviation

Answers

Answer:

The answer is "4.8, 3.84, and 1.96".

Step-by-step explanation:

Given:

[tex]\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\[/tex]

By using the binomial distribution:

[tex]\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96[/tex]

Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price?

Answers

The precent increase 1/3rd

BRAINLIEST NEED ANSWERS ASAP PLEASE

Answers

[tex]\frac{3x+2+5(x-6)}{x^{2} -36}=\frac{8x-28}{(x+6)(x-6)}[/tex]

A sample of a radioactive isotope had an initial mass of 640 mg in the year 2010 and decays exponentially over time. A measurement in the year 2014 found that the sample's mass had decayed to 440 mg. What would be the expected mass of the sample in the year 2024, to the nearest whole number?

Answers

Answer: 172

Step-by-step explanation:

Mr. Dimaggio is making his famous pasta sauce. He uses 8 cups of tomatoes to make 2 quarts of sauce. How many cups of tomatoes will he need to make 12 quarts of the sauce?

____________ = ______________


Please help me!!!!!!!!!

Answers

Answer:

48 cups of sauce

Step-by-step explanation:

You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce

Hope that helped

I need help please.

Answers

Answer: B

Step-by-step explanation: i looked it up ans it said b how this helps :>

Show that (2, 1) is a solution of the system of equations.
x + 3y = 5,
y = –x + 3

Substitute (2, 1) into x + 3y = 5 to get "Blank"
1+32=5
1+3(2) = 5
2+31 = 5
2+(3)=5
.
Simplify the equation to get "Blank"
5=5 is true
7=7 is true
7=5 is false
33=5 is false
.
Substitute (2, 1) into y = –x + 3 to get "Blank"
1= - (2)+3
1= - (2+3)
2= - (1) +3
2=-(1+3)
.
Simplify the equation to get "Blank"
1=1 is true
1 = - 1 is false
2 = 2 is true
2 = - 2 is false
.

Answers

Answer:

1) 2+(3)=5

2) 5=5 is true

3) 1=-(2)+3

4) 1=1 is true

Step-by-step explanation:

Find the missing angle. Find x

Answers

Answer: 20

Reason: They're opposite meaning they are the same when compared to the side

Find the measure of the exterior angle

Answers

Answer:

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to the exterior angle that is supplementary to the third interior angle

for first triangle

90 + 53 = u

143 = u

for the other triangle

102 + x = 4x + 6

102 = 4x + 6 - x

102 = 3x + 6 subtract 6 from both sides

96 = 3x divide both sides by 3

32 = x

Two Distinct irrational Roots
A.0
B.91
C.-25
D.1

Answers

91 and 1 your welcome bye

.HELP!!!!!...............

Answers

Answer:

132 yards

because its a hexagon so all sides are the same, meaning you do 22×6 = 132

WHATS 20-11 ANSWER OR DAII

Answers

Answer:

9

Step-by-step explanation:

20-11=9

☁️ Answer ☁️

9

Take 11 away from 20

Have a nice day noona/hyung.

PLEASE SAY A,B,C OR D OF THE RIGHT ANSWER ONLY PLEASE! no links or flies, x .

You cut a candy bar into 8 equal pieces. You gave 3/8 of it to your sister and 2/8 to your brother. Which equation represents the fraction of the candy bar you gave away?


3/8 – 2/8 = 1/0

3/8 + 2/8 = 5/8

3/8 – 2/8 = 1/8

3/8 + 2/8 = 5/16

Answers

Answer:

B

Step-by-step explanation:

3/8 + 2/8 = 5/8

The graph below shows which system of inequalities?

Answers

The answer you were looking for is
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