A geometric sequence is represented by a Subscript n Baseline = a Subscript 1 Baseline r Superscript n minus 1. What is the fifth term of a geometric sequence where a Subscript 1 Baseline = 4,096 and the common ratio is Negative one-fourth?

Sorry, Please rewrite it again.

Answer:

[tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{8}+\frac{3}{4}}{-\frac{2}{3}-\frac{5}{6}}[/tex]

Working on the denominator,

[tex]-\frac{4}{6}-\frac{5}{6}=\frac{-9}{6}=-\frac{3}{2}[/tex]

[tex]\frac{\frac{5}{8}+\frac{3}{4}}{-\frac{3}{2}}[/tex]

Working on the numerator,

[tex]\frac{5}{8}+\frac{3}{4}=\quad \frac{11}{8}[/tex]

[tex]\frac{\frac{11}{8}}{-\frac{3}{2}}[/tex]

[tex]-\frac{11\cdot \:2}{8\cdot \:3}=-\frac{22}{24}=-\frac{11}{12}[/tex]

Answer:

Step-by-step explanation:

Graph shown in the attachment,

- Since every value of x corresponds to a distinct value of y, so the graph represents a function.

- Every input value of x of the table has a output value of y, therefore, it's a function.

- In the set of ordered pairs (5, 8) and (5, 2), input value x = 5 has two output values for y,

 y = 8 and y = 2

Therefore, it's not a function and (5, 8) should be changed to make the relation a function.

Answer:

B, D, D

Step-by-step explanation:

the correct answer for A is choice B. answer choice C is correct for question B.

Step-by-step explanation:

answer choice D is correct for C.

Answer:

x≤-20

Step-by-step explanation:

x+ 17≤-3

Subtract 17 from each side

x+ 17 -17≤-3-17

x≤-20

Answer:

1. equation

2. variable

3. operation

4. constants

i took this on edge so i know the answers ^-^

Answer:

80ft

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

When they send 25 texts each, their bills will be equal

Step-by-step explanation:

Let the number of text messages that makes their bill equal be x

Jorge will have a bill of = 50 + x(1) = 50 + x

Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x

Since their bills will now be equal, we equate both

50 + x = 72 + 0.12x

72-50 = x-0.12x

22 = 0.88x

x = 22/0.88

x = 25 texts

Answer:

add up all the colors

Step-by-step explanation:

-4.5

i guess this is the answer

Answer:

AB=5.4 units

Step-by-step explanation:

We using the theorem of intersecting tangent and secant to solve this.

By this theorem:

[tex]XY^2=XB \times AX\\9^2=15(15-XB)\\81=225-15XB\\15XB=144\\XB=9.6\\$Therefore:\\AB=AX-XB\\AB=15-9.6\\AB=5.4$ units[/tex]

Answer:

Its 9.6, the other guy got it wrong, he already got it but accidentally added a step. Its 9.6 :)

Step-by-step explanation:

trust me :).

Answer:

Step-by-step explanation:

I don’t know the answer

The value of x such that ∠MNQ and ∠PNR are vertical angles is 40

The given parameters are:

MNQ = 3x - 6

PNR = 114

Vertical angles are equal.

So, we have:

3x - 6 = 114

Add 6 to both sides

3x = 120

Divide both sides by 3

x = 40

Hence, the value of x is 40

Read more about vertical angles at:

https://brainly.com/question/14362353

Answer:

16

Step-by-step explanation:

Multiply it by 1/3 and it equals 16

Answer:

16

Step-by-step explanation:

48/3=16

Answer:

0.8

Step-by-step explanation:

0.768/0.96= 0.8

0.96/1.2 =0.8

Answer:

Mix A is the most orangey, Mix C is the least orangey

Step-by-step explanation:

Mix A largest proportion of concentrate to water

Mix C is the smallest proportion of concentrate to water

Answer:

MAD = 2

Step-by-step explanation:

First We'll find the mean of data

Mean = [tex]\frac{20}{5}[/tex]

Mean = 4

Then, we'll find absolute deviation

=> |4-3| = 1

=> |4-2| = 2

=> |4-1| = 3

=> |4-1| = 3

=> |4-3| = 1

Now, taking the mean of these absolute deviations:

MAD = [tex]\frac{1+3+3+2+1}{5}[/tex]

MAD = [tex]\frac{10}{5}[/tex]

MAD = 2

Answer:

see below

Step-by-step explanation:

x = kendalls money

98 = 7x

Divide each side by 7

98/7 = 7x/7

14=x

Kendall had 14 dollars

Answer:

D

Step-by-step explanation:

94 divided by 7 = 14 also

7x (x is 14) = 94

Answer:

[tex]342[/tex]

Step-by-step explanation:

The probability of heads landing is 0.43.

The probability of tails landing is 1-0.43=0.57.

Azmol throws the coin 600 times, so:

[tex]600 \times 0.57[/tex]

[tex]=342[/tex]

Answer:

20cd-¹ or

[tex] \frac{20c}{d} [/tex]

Step-by-step explanation:

just do calculate

10 x 2 = 20

c⁶ x c-⁵ = c⁶+(-⁵) = c¹ = c

d-⁵ x d⁴ = d-¹

Answer:

the answer is

z is equal to 12 units. Side RS measures 9 units longs

Step-by-step explanation:

Answer:

Bottom Left

Step-by-step explanation:

Break up the numbers to 7,  and -8.

Break up the fractions to 1/5 and -3/5.

Answer:

C. The interquartile range (IQR) for the Bulldogs, 20, is less than the

IQR for the Tigers, 25.

Step-by-step explanation:

When describing the spread of a given data set in a box plot using the five-number summary, the measure that is of utmost important is the range or the interquartile range.

The range is the difference between the max and the min.

The interquartile range is the difference between Q3 and Q1.

Therefore, considering the options given:

=>Option A is incorrect because the range for bull dog is 50 (105 - 55), while the range for Tigers is 55 (110 - 55).

=>Median cannot be used for describing spread, so option B is not the most appropriate comparison of the spreads.

=>Option C is correct and the most appropriate because the interquartile range of bulldogs is 20 (90 - 70), which is less than the IQR of Tigers which is 25 (85 - 60).

=>Option D is incorrect.

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

θ = [tex]cos^{-1}[/tex] 17 m/27 m = 50.9°

Answer:

Step-by-step explanation:

[tex]t = \frac{mu^{2} }{k} -5mg\\kt = mu^{2} -5mg\\k = \frac{mu^{2} -5mg}{t}[/tex]

To make k subject of the fomula :

Step 1 : cross multiply

Step 2 : Divide both side of the equation to isolate k

The solution of the expression for the value of k will be k = (mu² - 5mgk)/t.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is t = (mu²)/k - 5mg. The value of the expression for the value of k will be,

The value of k will be written as,

t = (mu²)/k - 5mg

k = (mu² - 5mgk)/t

Therefore, the solution of the expression for the value of k will be k = (mu² - 5mgk)/t.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

Answer:

4 and 5 are coefficients the rest are terms

Step-by-step explanation:

coefficients are the numbers not the letters

Answer:

Step-by-step explanation:

The terms are the elements of the sum:

  5b, 8c, 4p

The coefficients are the constant multipliers:

  5, 8, 4

___

In your list of items to "drag and drop", you have ...

Coefficient: 4, 5

Term: 4p, 5b, 8c

The question is incomplete:

Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.

Which bank will provide the largest balance if you plan to invest $10,000 for 10 years? For 20 years?

Answer:

-The bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank.

-The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank.

Step-by-step explanation:

First, you have to calculate the balance if you invest the money in Student Friendly Bank. To do it, you have to use the simple interest formula to calculate the future value:

FV=PV(1+rt)

FV= future value

PV= present value

r= rate

t=time

-10 years:

FV= 10,000(1+(0.025*10))

FV= 10,000(1+0.25)

FV=10,000(1.25)

FV=12,500

-20 years:

FV= 10,000(1+(0.025*20))

FV= 10,000(1+0.5)

FV=10,000(1.5)

FV=15,000

Second, you have to calculate the balance if you invest the money in Student Neighborhood Bank. To do it, you have to use the compound interest formula to calculate the future value:

FV=PV(1+(r/m))^mt

FV= future value

PV= present value

r= rate

t=time

m=number compounding periods per year

-10 years:

FV=10,000*(1+(0.021/12))^12*10

FV=10,000*(1+0.00175)^120

FV=10,000*(1.00175)^120

FV=12,334.5

-20 years:

FV=10,000*(1+(0.021/12))^12*20

FV=10,000*(1+0.00175)^240

FV=10,000*(1.00175)^240

FV=15,214

According to this, the bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank because it will provide $12,500 and Neighborhood Bank will provide $12,334.5.

The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank because it will provide $15,214 and Student Friendly Bank will provide $15,000.

Answer:

a) The median AD from A to BC has a length of 6.

b) Areas of triangles ABD and ACD are the same.

Step-by-step explanation:

a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:

[tex]D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2} \right)[/tex]

[tex]D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2} \right)[/tex]

[tex]D(x,y) = (4,0)[/tex]

The length of the median AD is calculated by the Pythagorean Theorem:

[tex]AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}[/tex]

[tex]AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}[/tex]

[tex]AD = 6[/tex]

The median AD from A to BC has a length of 6.

b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:

[tex]AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex]

[tex]AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}[/tex]

[tex]AB \approx 4.123[/tex]

[tex]AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}[/tex]

[tex]AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}[/tex]

[tex]AC \approx 4.123[/tex]

[tex]BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}[/tex]

[tex]BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}[/tex]

[tex]BC \approx 4.472[/tex]

[tex]BD = CD = \frac{1}{2}\cdot BC[/tex] (by the definition of median)

[tex]BD = CD = \frac{1}{2} \cdot (4.472)[/tex]

[tex]BD = CD = 2.236[/tex]

[tex]AD = 6[/tex]

The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:

[tex]A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}[/tex], where [tex]s_{ABD} = \frac{AB+BD+AD}{2}[/tex]

[tex]A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}[/tex], where [tex]s_{ACD} = \frac{AC+CD+AD}{2}[/tex]

Finally,

[tex]s_{ABD} = \frac{4.123+2.236+6}{2}[/tex]

[tex]s_{ABD} = 6.180[/tex]

[tex]A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]

[tex]A_{ABD} \approx 3.004[/tex]

[tex]s_{ACD} = \frac{4.123+2.236+6}{2}[/tex]

[tex]s_{ACD} = 6.180[/tex]

[tex]A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]

[tex]A_{ACD} \approx 3.004[/tex]

Therefore, areas of triangles ABD and ACD are the same.