Please explain how - calc ab - see attached photo

Answer:

8th term = 8748 , Sum of 5 terms = 484

Step-by-step explanation:

Formula for nth term in an exponential sequence = a r^ (n-1)

Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108

So,  a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108

a 3^3 = 108 →  27 a = 108 → a = 108 / 27 → a = 4

8th term = a r^ (n-1) , at  n = 8.  So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748

Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]

= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484

Answer:

A and B

Step-by-step explanation:

Answer: B and A

Step-by-step explanation:

B, because if you divide 33:55 by 11 it equals 3/5

A, becuase 14:40 divded by 8 equals 3:5

Answer:

D.

Step-by-step explanation:

4 x (26 + 72) is 4 time more than the expression of 26 + 72

Answer:

Step-by-step explanation:

It's helpful to draw it out, but you need a calculator for this.

You have the values of line b, line c, and angle C.

You can use sinC / c since you have C and c.

Solve for sinB by doing sinB/5.7 = sinC/8.6

you'll get the value of sinB, use inverse trig to solve for B (sin^-1)

Then you'll have the angle values for C and B. Add them, and subtract by 180 to find the angle measure of A.

Use the steps above to find a:

sinA (which u just found) / a = sinC (125) / c (8.6)

Hope this helps.

Answer:

1,1

Step-by-step explanation:

See steps below:) I could only show half of the steps. but you can use the app photo math. It will show you all the steps.

Answer:

[tex]a) A\simeq17204.28[/tex]

[tex]b) A\simeq29598.74[/tex]

[tex]c)A\simeq50922.51[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $10000

[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]

n = 4 (quarterly in a year)

a ) t = 5 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]

b) t = 10 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]

c) t = 15 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]

Answer:

Solution given;

principal [p]=$10000

rate[r]=11%

time[t]= 5 years

we have

compound amount quarterly =P(1+r/400)^4t

=$10000(1+11/400)^4×5=$17204.28431

Answer:

320√5 it simpleflied

Step-by-step explanation:

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

5(x + 2) - 2 = 3(x - 2)

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

Answer:

x = 53

Step-by-step explanation:

The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.

Opposite interior angles are congruent

This means that 2x - 20 = 86

This is our equation.

We now solve for x using basic algebra

2x - 20 = 86

step 1 add 20 to each side

-20 + 20 cancels out

86 + 20 = 106

now we have 2x = 106

step 2 divide each side by 2

2x / 2 = x

106 / 2 = 53

we're left with x = 53

Answer:

All Triangles are closed figure polygons that have three straight sides

Step-by-step explanation:

All 2D shapes are plane figures so this one is false. Three right angles are greater than 180 so this is fake. Polygon and closed figures are shapes with three or more closed sides. And triangles have straight sides.

Answer:

D.

Step-by-step explanation:

Slope of that line is 5x

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

[tex]\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{4}{7}=\frac{7}{4}[/tex]

But [tex]\frac{7}{4}\neq \frac{4}{7}[/tex].

Therefore, this option is not the answer.

Option (2),

[tex]\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}[/tex]

[tex]\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}[/tex]

[tex]\frac{4}{7}=\frac{7}{4}=\frac{7}{4}[/tex]

But [tex]\frac{4}{7}\neq \frac{7}{4}[/tex],

Therefore, this option is not the option.

Option (3),

[tex]\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{7}{4}=\frac{7}{4}[/tex]

Therefore, this option is the answer.

Option (4),

[tex]\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}[/tex]

[tex]\frac{4}{7}=\frac{4}{7}=\frac{10}{21}[/tex]

But, [tex]\frac{4}{7}\neq \frac{10}{21}[/tex]

Therefore, this is not the correct option.

Answer:

5years

Step-by-step explanation:

I=70

P=350

R=4

➜PRT=100 I

➜T=100 I/PR

➜100×70/350×4

➜7000/1400

➜5years

Answer:

use brainly points

Step-by-step explanation:

Answer:

so besacily find wich way it goes opposite

Step-by-step explanation:

Answer:

it's -3 buddy

lots of love

keep learning

Answer:

Look at the image.

Step-by-step explanation:

C = 2πr

2 · π · 5

≈ 31.42

31.42 ÷ 4 = 7.855

Answer:

Step-by-step explanation:

Answer:213.3

Step-by-step explanation: 8x8 =64(the base)x10 (the height) x1/3

Answer:

x + y = 4 ,  x − y = 2

x + 2 y = 4 ,  x − y = − 3

x 2 − y = 2 ,  2 x − y = − 1

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

x-8=2x-4

+8        +8

---------------

x=2x+4

-2   -2

-----------

-x=4

-1    -1

----------

x=-4

Answer:

Answer:

44. (Sorry if im incorrect. I don't clearly understand the question)

Step-by-step explanation:

Answer:

14 or -12

Step-by-step explanation:

Start by writing an equation for this.

84 = x * (2x + 2)

This expression works because 84 is the product of the number (x) and twice the number plus 2.

Using the equation, solve for x.

84 = x * (2x + 2)

First, simplify.

84 = 2x^2 + 2x

Subtract 2x^2 + 2x to make the equation equal to 0.

84 - 2x^2 + 2x = 0

Factor:

−2(x − 6)(x + 7) = 0

Set factors equal to 0.

x − 6 = 0 or x + 7 = 0

x = 6 or x = -7

x represents the smaller number. The larger number is 2x + 2.

So double x and add 2.

2(6) = 12 and 12 + 2 = 14 so that's one of the options

2(-7) = -14 and -14 + 2 = -12 so that's the other.

Check:

14 * 6 = 84

-12 * -7 = 84

Answer:1658.76 in^2

Step-by-step explanation:

Answer:

Here you go

Step-by-step explanation:

x=0,-4

Answer:

2 and 4

(i got it from khan)

Answer:

0.1218

Step-by-step explanation:

Answer:

the only solution is 0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2(x+3)=2x+6

Multiply 2 with the numbers in the parenthesis

2x+6=2x+6

Answer:

Extrapolation, because a key that is 12 keys from middle c is outside the data set.

Step-by-step explanation:

Given

See attachment for the data set

Required

Which option answers the question

From the attached dataset, we can see that 12 is not within the range of the data set.

When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.

Hence, (d) is correct

Answer:

d

Step-by-step explanation:

trust me

the answer is obtuse

Step-by-step explanation:

mark me as a brainliest

Step-by-step explanation:

[tex] \sf ➜ {h}^{2} = {p}^{2} + {b}^{2} \\ \sf ➜ {(8.1)}^{2} = {(6.8)}^{2} + {x}^{2} \\ \sf ➜ {x}^{2} = {(8.1)}^{2} - {(6.8)}^{2} \\ \sf ➜ {x} = \sqrt{ {(8.1)}^{2} - {(6.8)}^{2} } \\ \sf ➜ x = \sqrt{65.6 - 46.2} \\ \sf ➜x = 19.4[/tex]

Answer:

Guys the answer is E. I just took the test.

Step-by-step explanation:

Short answer: Look at the inequalities and plug in either 10 or 8 for m and then you're all set :)

Long Answer:So what you should do first is calculate how long she hikes for and how many mph. It says that she likes the hike for more than 4 hours but less than six. She also hikes at least 2 mph. So if you were ever in first grade you would know that she hikes for at least 5 hours. Now 5 x 2 is 10. Now you can either plug 8.0 into the inequalities or 10 but either way its going to be more than whatever number is first in the inequality but less than 12.

Answer:

E.

Step-by-step explanation:

Answer: 95%

Step-by-step explanation: