What is the area of this triangle?

Answer:

[tex]15^{n-1}[/tex]

Step-by-step explanation:

First , Let's find the common ratio of this sequence.

[tex]\frac{15}{3}=5\\\frac{75}{15} = 5\\\frac{375}{75} = 5[/tex]

SO,

r = 5

Now let's use this formula to find the n th term

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

Here,

a = first term

r = common ratio

Let's find,

[tex]T_n = 3*5^{n-1}[/tex]

[tex]T_n =15^{n-1}[/tex]

Therefore,

the n th term is,

[tex]15^{n-1}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

[tex]a_{n}[/tex] = 3[tex](5)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

15 ÷ 3 = 75 ÷ 15 = 375 ÷ 75 = 5

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 5 , then

[tex]a_{n}[/tex] = 3 [tex](5)^{n-1}[/tex]

Answer:

x = 16

Step-by-step explanation:

5x - 7 = 8x - 55

+55             +55

5x + 48 = 8x

-5x             -5x

48/3 = 3x/3

16 = x

Answer:

y=3x+1

Step-by-step explanation:

The question is asking for an equation in slope-intercept form. This is y=mx+b, where m is slope and b is y-intercept. The slope is the change is y over the change in x. The y value changes 3 and the x value changes 1. So, the slope is 3/1 or just 3. The y-intercept is the value where the line intersects with the y-axis. Additionally, the y-intercept will have an x-value of 0. On the table, you can see that y=1 when x=0. Thus, the y-intercept is 1. Put the two values into the equation and you get y=3x+1.

Answer:  y= (7/4)x

Step-by-step explanation:

Build a table of representative values and then calculate the slope between any 2 of the points.   I'll pick (2,3.5) and  (8,14)    [See attachment. ]

The slope is the Rise/Run:

Rise = (14 - 3.5) = 10.5

Run = (8-2) = 6

Slope = Rise/Run:  (10.5/6) = 1.75

The equation should read y = 1.75x.  

None of the options works, as written, but note that 7/4 looks close to 1.75.  In fact, 7/4 = 1.75.

Use the equation y = 1.75x and enter several values of x (the ounces purchased) and y (the total cost of the purchase).  The attachment summarizes the results (Predicted), along with the actual values (Actual) taken from the graph.  Excellent correlation, considering the difficulty in making precise graph readings.

Therefore y = (7/4)x

86%

30 students in the class with a mean average of 70% can be expressed as:

total class percent / 30 = 70%

Rearranged, this gives that the class achieved a total of 30x70 or 2100%.

20 boys in the class with a mean average of 62% can be expressed as:

total boys percent / 20 = 62%

Rearranged, this gives that the boys achieved a total of 20x62 or 1240%.

This means that the girls achieved 2100 - 1240 so 860%.

Because there are 30 students and 20 boys, there are 10 girls.

Then work out the mean with a total of 860% and 10 girls.

860/10 = 86%.

Answer:

2 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-5

Answer:

2/5

Step-by-step explanation:

Normally, percentage is expressed in 0 - 100 so for Randall to fill up 40% of his container, that means he'd fill out 40 out of a hundred. That's 40/100 which simplified will give you 2/5

Answer:

The answer would be 12

Step-by-step explanation:

15/100 =  X/80

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 80, and then finally divide the numerator by the denominator on the right side to get the answer.

The equation

15/100 = X/80

X/80 = 15/100

X*80/80 = 15*80/100

X = 1200/100

X = 12

Answer:

for every 10 she eats the minutes are even

Step-by-step explanation:

( i honestly dont know how to explain the relationship but i did the math for it)

it would take 12 mins to eat all 60 candies

55 candies : 1 min

50 candies : 2 mins

40 candies : 4 mins

30 candies : 6 mins

20 candies : 8 mins

10 candies : 10 mins

0 candies : 12 mins

Step-by-step explanation:

7/5 - 2×2/3 × 0.5 = 1.4 - 2×0.5×2/3

= 1.4 - 1 ×2/3

=1/4 × 2/3

=1.5 - 0.6

Answer:

8

Step-by-step explanation:

trust

Answer:

8

Step-by-step explanation:

16-?=2+6

First, we add the right side .

16-?=8

Now that it's easier to solve, we can figure out you need to subtract 8 from 16 to get 8.

16-8=8

[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]

[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]

[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]

[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]

[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]

Answer:

the atoms can have different numbers of valence electrons

Answer: ? What are you talking about?

Step-by-step explanation:

Answer:

6.6/100 or 3.3/5

Step-by-step explanation:

6.6% or 6 3/5% now since those are all out of 100 (since percentages) you just put #/100 and get your fraction

Answer:

69 purple cookies!

Step-by-step explanation:

Answer:

1/4 or .25

Explanation

As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.

-0.25-16*.25=-0.25-4

-0.25-4=-0.25-4

-4.25=-4.25

For the function  f(x) = -x-4 the value of f(4) is -8.

The given function is f(x) = -x-4.

We need to find the value of f(4).

To find this we have to replace the x value with 4.

Substitute x=4 in the function:

f(4)=-4-4

f(4)=-8

Hence, the value of f(4) is -8.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ3

Answer:

you have 41 quarters

Step-by-step explanation:

.....

Answer:

A picture provided would be better, but here's a picture to help you find an answer to your question.

Step-by-step explanation:

The two angles marked in red are corresponding angles on a pair of parallel lines. Corresponding angles are ALWAYS congruent to each other.

Answer:

17 floors

Step-by-step explanation:

1 floor every 4 seconds.

90/4 = 22.5

40 - 22.5 = 17.5

17.5 is 17ish floors, and is the only answer that is close to 17 floors.

=========================================================

Explanation:

The key tells us how to set up the stem and leaf diagram. It says that [tex]24|5[/tex] represents the value 245.

This means that "24" is one of the stems. In fact, it's the smallest stem possible since there's nothing smaller than 240 on this given list of values.

The only leaf associated with this stem is 5. The stem 24 and the leaf 5 combine to form the number 245 as the key indicates.

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

In the next row is the stem 25. For this stem, we'll have the leaves of: 0, 1, 3, 8. The stem 25 and those leaves mentioned combine to form 250, 251, 253, 258 in that exact order. This time we'll use up four boxes for this row. The last box in this row is blank.

The remaining rows (stems 26 and 27) are handled in pretty much the same fashion. Let me know if you have questions how the boxes are filled in. It helps to start with sorted data from smallest to largest. Luckily, that's already been done for us.

The filled out chart is shown below. I replaced the stems 0,1,2,3 with 24,25,26,27.

Answer:

y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms

 = 2(x² - x) - 5

Using the method of completing the square

add/subtract (half the coefficient of the x- term)² to x² - x

y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form

The Eubanks Answer:

Step-by-step explanation:hehus

Answer:

9

Step-by-step explanation:

So it kinda easy but ill Just give u the answer :D

Answer:

9-3÷ 1/3+1= 9

Step-by-step explanation:

I can't do solution sorry.

Answer:

7+5=12

Step-by-step explanation:

To calculate the mass number of an atom, you have to add the protons and the neutrons. We have 7 neutrons and 5 protons, so your mass number would be 12. Let me know if you have any further questions. :)

Answer:

344444444433333338694

Step-by-step explanation:

Answer: y = -3x+5

Step-by-step explanation: