Mathematics College

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Evaluate A1 (r)^n-1 For A1 = 2, R= 3, And N = 4.A. 216B. 18C. 32D. 54

Answers

Answer 1
Option D

[tex]a1(r) {}^{n - 1} [/tex]Putting values:

[tex]2(3) {}^{4 - 1} [/tex][tex]2(3) {}^{3} [/tex][tex]2 \times 27[/tex][tex] = 54[/tex]Hence, Proved.
Answer 2

Answer:

[tex]54[/tex]

Answer D is correct

Step-by-step explanation:

[tex]a_1 \: {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 2 \times 27 \\ = 54[/tex]

Hope this helps you.

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

Related Questions

Sonia has 14.84 l of juice. She pours it into 7 jars equally. How much juice is there in each jar

Answers

Answer:

2.12

Step-by-step explanation:

I did the maths equation

Answer:

2.12 liters in each jar

Step-by-step explanation:

Take the total amount of juice and divide it by the number of jars

14.84 liters / 7 jars

2.12 liters in each jar

Which is steeper & why?
A ramp with a rise of 2ft and a run of 6ft
OR
A ramp with a rise of 1ft and a run of 4ft

Answers

A ramp with a rise of 1 ft and a run of 4ft

I'm so confused, know the answer?​

Answers

Answer:

P = -10

5p - 8(p + 1) > 16

5(-10) - 8(-10 + 1) > 16

-50 - 8(-9) > 16

-50 + 72 > 16

22 > 16

4•d=d•4

Choose the property of real numbers that justifies the equation

Answers

Answer:

Commutative Property of Multiplication

Step-by-step explanation:

Commutative Property of Multiplication

a • b = b • a

4 • d = d • 4

"commute = to get up and move to a new location: switch places"

What is the y-intercept of the graph below.​

Answers

The y-intercept is 0, as that is where the line go thorugh the y-axis line.

Solve the equation for x.

x=

Answers

For my answer I got x = 7

Answer:

x=7

Step-by-step explanation:

94. Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function B(a) = -0.33a + 19.17a-213.37. (a) What is the age of unmarried women with the highest birth rate? 29.0 years (b) What is the highest birth rate of unmarried women? (e) Evaluate and interpret B(40).

Answers

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]

Item a:

The age with the highest value is the a-value for the vertex, which is:

[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

A similar problem is given at https://brainly.com/question/24626341

A number less 5 divided by 42

Answers

Answer:

It's 0 because if you do 42~4=10.5 and 42~3=14 and 42~2=21 and 42~1=42 and there all more then 5 but on the other hand 0 is less then 5

Step-by-step explanation:

1.
WRITE "six million five hundred thousand four" in standard form.

Answers

for six million five hundred thousand four 6,500,004

If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices

Answers

$2.50 f ft hh oh ghghvgbhhjj

Find the perimeter and area of the figure with the given coordinates:
A(-2,-1), B(-2,-4), C(3,-4), D(3,-1)

Answers

Sorry but I can’t see the picture

-3x-2=13
please show steps on how to do

Answers

Answer:

x=-5

Step-by-step explanation:

-5*-3=15

15-2=13

Hope it helps

Answer:

x = -5

Step-by-step explanation:

-3x-2=13

Add 2 to both sides of the equation

-3x-2+2=13+2

Simplify

-3x=15

Divide both sides of the equation by the same term

[tex]\frac{-3x}{3} =\frac{15}{-3}[/tex]

Simplify

x = -5

Roger has $3.10 consisting of quarters, dimes and nickels. He has twice as many quarters as dimes and three more dimes and nickels. Find the number of each kind of coin.

Answers

Answer:

5 dimes 2 nickels 10 quarters

HELPPPP!!!!! PLEASEEE IM BEING TIMED !!!!!!!!!!!

Answers

Answer:

[tex]x=89[/tex]

Step-by-step explanation:

We can plug into the formula for the mean to get [tex](87+73+84+82+x)/5=83[/tex].

We can combine like terms on the left side to get [tex](326+x)/5=83[/tex].

We can multiply by [tex]5[/tex] on both sides to get [tex]326+x=415[/tex].

We can finally subtract [tex]326[/tex] from both sides to get [tex]x=89[/tex].

So, the answer is [tex]\boxed{x=89}[/tex] and we're done!

i will give brainliest please help

Answers

Answer:

1. 18

2. 15

3. Symmetric Property

Step-by-step explanation:

1. 8 + 10 = 18

2. Following symmetric prop. of eq. would mean that since 8 + 10 = 15 + 3 and 8 + 10 = 18, 15 + 3 = 18 as well

3. Symmetric Property of Equality states that if a = b, then b = a

Find m angleA
A. 10
B. 20
C. 16
D. 14

Answers

Find m angle A
B. 20 is correct

Find the area of each triangle

Answers

Answer:

a.20,b.31.5

Step-by-step explanation:

h x b then Divide by 2

(IMAGE IS ATTACHED. PLEASE HELP! GIVING 100 POINTS)
What is the value of x?


Enter your answer in the box.

Answers

Answer:

x = 50

Step-by-step explanation:

→ Make the equations equal to each other

2 ( x + 10 ) = 3x - 30

→ Expand brackets

2x + 20 = 3x - 30

→ Minus 3x from both sides

-x + 20 = -30

→ Minus 20 from both sides

-x = -50

Opposite angles are equal

[tex]\\ \sf\longmapsto 2(x+10)=3x-30[/tex]

[tex]\\ \sf\longmapsto 2x+20=3x-30[/tex]

[tex]\\ \sf\longmapsto 3x-2x=30+20[/tex]

[tex]\\ \sf\longmapsto x=50[/tex]

A large bag contains 7/12 pounds of nails. How many 1/8 pound bags can be filled with this amount of nails?

Answers

Answer: 4 bags

Division is nessacery

7/12 divide by 1/8= 4.6666667

Full bags will be 4

Step-by-step explanation:

Please help me this a important test and I’m not good at math please explain step by step so I can learn the formula for once

Answers

Answer: You"ll earn $884 because we know that 707.20 divided by 32 equals 22.1 and 22.1x40 = $884. Therefore, you"ll make $884 for 40 hours.

I will mark brainliest for the right answer with a description that helps me on how to actually solve this please

Answers

Answer:

$126

Step-by-step explanation:

I divided the figure in 3 parts, 1 triangle and 2 rectangles

found the area of each figure and added all to find the total area

HELP ME NOW!!! PLS I DONT KNOW THSE TPYE OF STUFF

Answers

Answer:

10 yd, because you subtract 15 to 5.

Someone tell me if I’m right

Answers

Answer:

Yes you are correct

Step-by-step explanation:

If f(x) = x3 – 7, show that f-1(x) = Vx+7.

Answers

Answer:

f(x)=4−(x−7)

3

Let y=f(x)

So, x=f

−1

(y) ---- ( 1 )

y=f(x)

⇒ y=4−(x−7)

3

⇒ (x−7)

3

=4−y

⇒ x−7=

3

4−y

⇒ x=7+

3

4−y

⇒ f

−1

(y)=7+

3

4−y

.................. [ From ( 1 ) ]

∴ f

−1

(x)=7+

3

4−x

Evaluate the expression

Answers

12 - { 1+2 [ -1 (3-8) ]² }= 12 - { 3 [ -1 (-5) ]² }= 12 - { 3 [ 5 ]² }= 12 - { 3 (25) }= 12 - {75}= 63

please mark this answer as brainlist

2[tex]\sqrt{x+5}+4\\[/tex]

Answers

[tex]2 \sqrt{x + 9} [/tex]

Answer:

[tex] 2\sqrt{ } \times + 9[/tex]

u understand

Part A The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.Part B What is the height of the building in miles? Express the answer as a fraction in simplest form.Part C Use long division to find the decimal form of the building’s height in miles. Write the answer to four decimal places.Part D Review your answer to part C. Over which digit(s) must you draw an overline to show that the digit(s) repeat? Part E Christy’s sister, Chelsea, works in a nearby building that is 720 feet tall. What is the height of Chelsea’s building in miles? Express the answer as a fraction in simplest form. Part F Use long division to find the decimal form of the building’s height in miles. Write the answer to six decimal places. Part G Review your answer to part F. Over which digit(s) must you draw an overline to show that the digit(s) repeat?

Answers

Answer:

the answer is 3.14 when u solve it

Which of the following statements describes the graph below?

PLS HELP.

Answers

Answer:

piecewise, continuous.

Step-by-step explanation:

This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous.  I hope this helps!

It's offcourse piecewise

For continuity

Observe the graph

The domain is like

(-oo,1]U(1,2]U(2,oo)

For close ineterval there is an open interval hence it's continuous

A restaurant hired 15 servers for one banquet. They pay a full-time server $21.00 per hour and a part-time server $17.00 per hour. If the labour cost of the restaurant was $275.00 per hour, how many full-time and part-time servers were there for the banquet?

Answers

Answer:

5 full time servers and 10 part-time servers

Step-by-step explanation:

Hope this helped, please let me know if it is correct.

Mr.jones filled his swimming pool with water

Answers

then go and swimand enjoy your holiday

I would like to help you however I think you did not finish writing out the problem.
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