question in attachment

Question In Attachment

Answers

Answer 1

Answer:

a₁ = 3

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{6}[/tex] = 189 and r = 2, thus

[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is

a₁( 64 - 1) = 189

63a₁ = 189 ( divide both sides by 63 )

a₁ = 3


Related Questions

h(x)= 1/8x^3-x^2 Over which interval does h have a positive average rate of change ?

Answers

Answer:

6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!

Step-by-step explanation:

Which graph represents the function f(x)=3x5^x

Answers

Answer:

top right corner

Step-by-step explanation:

PLS HELP MY HOMEWORK IS DUE SOON

Answers

Answer:

Seems like a personal issue

Step-by-step explanation:

Hint: Use your Brain!

Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?

Answers

Answer: 3.09 *10^0




Explanation: First we want to work out the operations and then set our answer in scientific notation.

We star with the multiplication in the parentheses because of the order of operations and then divide.

Thus, we have 486/157.5.

The answer is 3.085714286.

The general form of scientific notation is c*10^e, where c is a number from 1 to 10.

Since the answer is between 1 and 10 already, we did not need to move a decimal and e in the general formula represents how many times you moved the decimal.

Also, I simply rounded the answer to the hundredths place, which is acceptable to most teachers.



The Perfect square numbers between 100 and 200 are ____
Pls help.

Answers

Step-by-step explanation:

The perfect square numbers between 100 and 200 are :

10^2 =100

11^2 =121

12^2 =144

13^2 =169

14^2 =196

Kareem has a pencil that is 13.5 centimeters
ong and a crayon that is 87.5 millimeters
ong. How many millimeters longer is
the pencil than the crayon?
(1 centimeter = 10 millimeters)

Answers

47.5 millimeters longer

The pencil is 47.5 millimeters longer than the crayon.

To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.

Given that length of the pencil = 13.5 centimeters

Length of the crayon = 87.5 millimeters

To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.

So, the length of the pencil in millimeters is:

13.5 centimeters × 10 millimeters/centimeter = 135 millimeters

Now we can calculate the difference in length between the pencil and the crayon:

Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters

Subtracting the lengths, we find that the pencil is:

135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.

Therefore, the pencil is 47.5 millimeters longer than the crayon.

To learn more on Equation:

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Which expression is equivalent to 3x + 6y?

Answers

Answer:

3x+6y =0

-6y

3x=-6y

x=-2y

Step-by-step explanation:

Simplify: 5x(2x-3y)
o 10x7 - 15xy
10x -8y
10.x2 -3y
10x7 - 15y?

Answers

Hey!!

5x(2x-3y)

=5x*2x- 5x*3y

= 10x^2-15xy

So the right answer is of option A

hope it helps.....

Answer:

the answer is 10x^2-15xy

Step-by-step explanation:

i cant make it any simpiller

Solve the following systems of equations using the substitution method. What is the value of a? 3a-5b=10 a+7b=12 A) a=5 B) a=6 C) a=1 D) a=7

Answers

Answer:

a=5

Step-by-step explanation:

3a-5b=10

a+7b=12

multiply the second row with -3

-3a-21b=-36 now we gonna add this to the first row

3a-5b=10

_________+

-26b=-26 b=1 now we gonna put in one of the equations to find a

a+7b=12

a+7.1=12 a=5

Answer:

i hope its clear . the answer is a = 5

DEllAC AD=BE AB=16 BC=24
BE-? BD-?

Answers

Answer:

BE = 3.6 units

BD = 12.4 units

Step-by-step explanation:

From the picture attached,

Since DE║AC, ΔBDE and ΔABC will be similar.

In these similar triangles corresponding side will be in the same ratio.

[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]

[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]

[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]  

1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]

1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]

1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]

1 = [tex]BE(\frac{3+2}{48})[/tex]

BE = [tex]\frac{18}{5}[/tex]

BE = 3.6 units

Therefore, AD = BE = 3.6 units [given]

Now BD = AB - AD

              = 16 - 3.6

              = 12.4 units

Solve for d.
-10 =-2+1/2d
A d=-24
B. d=-16
C. d= -6
D. d=-4​

Answers

Answer:

B.) -16

Step-by-step explanation:

-10=-2+1/2d

-8=1/2d

d=-8/1/2

d=-16

So B

At Sami's Shoe Warehouse, it takes 4 over 5 day to complete 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers? (5 points)

6 days
8 days
11 and 1/4 days
12 and 1/2 days


HELP AASAP BRAINLIEST WILL BE AWARDED

Answers

The answer is 8 days.

4/5 divided 1/10

4/5 x 10/1

40/5 = 8

Answer:

8 days

Step-by-step explanation:

if it takes 4/5 of a day to complete 1/10 of the order of sneakers, you are trying to determine how long it will take to get to 10/10.

so first we can determine what we have to multiply 1 by to get 10.

the answer is 10, so we can multiple by 10 to determine the amount of days it took:

4/5 x 10 and 1/10 x 10

therefore: 4/5 x 10 = 8

meaning, it would take 8 days to complete an entire order of sneakers.

Point O is the center of dilation. Triangle X Y Z is dilated to create triangle X prime Y prime Z prime. The length of O Z is 2 and the length of Z Z prime is 4. The length of side X prime Y prime is 9 and the length of side Y prime Z prime is 12. Triangle XYZ was transformed by DO,3. What is the length of side XY? 1.5 4.5 3 18

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.

Answer:

short answer middle picture :)

Step-by-step explanation:

could someone please help me with this problem?

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)

m = [tex]\frac{20-9}{12-4}[/tex] = [tex]\frac{11}{8}[/tex] → C

Which of the following exponential functions represents the graph below?

Answers

Answer:

C

Step-by-step explanation:

So you should be looking for the right function.

Remember that any number to the power of 0 is by definition 1.

3 * 1 = 3

In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.

So if you substitute x= 0 the result should be 3.

3 * 1 = 3

The two functions that comply with that, are the ones in answers B or C.

In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.

The only function that complies with that is in answer C.

pls help help me need help!!

Answers

Answer:

|-30| + |25|

Step-by-step explanation:

The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.

A. |-30| + |25| = 30 + 25 = 55

B. -30 - 25 = -55

C. -30 + 25 = -5

D. |-30| - |25| = 30 - 25 = 5

The correct expression is |-30| + |25| since it it the only expression that equals 55.

how do you compare 7/8 ___ 15/16 ?

Answers

Answer:

7/8 < 15/16

Step-by-step explanation:

Get a common denominator of 16

7/8 *2/2

14/16

14/16 < 15/16

so 7/8 < 15/16

7/8 < 15/16 is the correct way

A seller has a house that is 2100 ft2. The neighborhood comps show the line
of best fit to be y = 0.074x + 50.48. What is a fair price for this house?
A. $205.88
B. $206.00
C. $176,000
D. $206,000

Answers

I believe Your answer is A

The fair price for the house is $205.88.

The correct answer is option A.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the fair price for the house, we can use the equation of the line of best fit provided:

y = 0.074x + 50.48

where y represents the price of the house and x represents the square footage of the house.

We can substitute 2100 for x to find the price of the house.

y = 0.074(2100) + 50.48

y = 155.4 + 50.48

y = 205.88

Therefore,

The fair price for the house is $205.88.

Learn more about equations here:

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Simplify. PLEASE HELP

Answers

Answer:

0

Step-by-step explanation:

we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)

The (x-y) cancel out so the fraction becomes (x+y)

The two (x+y) also cancel out so it becomes 0

Answer:

0

Step-by-step explanation:

[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]

Hope this helps!

please help me thank you in advance

Answers

Answer:

480

Step-by-step explanation:

The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480

Add, write answers as a decimal 3/4 + 0.66

Answers

Answer:

1.41

Step-by-step explanation:

3/4 = 75/100 = 0.75

0.75 + 0.66 = 1.41

Answer:

1.41

Step-by-step explanation:

4 divided by 3 = 0.75

0.66 + 0.75 = 1.41

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0? Please just copy and paste this into brainly, I ran out of skips

Answers

Answer: 2

Step-by-step explanation:

Answer:

The Radius of the circle of center (-4, 3) is 2.

Radius = 2

Step-by-step explanation:

This is the general form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

Let's convert this to standard form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

[tex]x^2+y^2+8x-6y=-21[/tex]

Group/organize [tex]x[/tex] and [tex]y[/tex] terms:

[tex]x^2+8x+y^2-6y=-21[/tex]

[tex](x^2+8x)+(y^2-6y)=-21[/tex]

Now, let's begin the process to complete the square in both parentheses.

[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]

[tex](x+4)^2+(y-3)^2=4[/tex]

5. What is the simplified form of (2x2 + 4x – 3)(3x + 1)?
06x3 + 10x2 – 5x + 3
O 6x3 + 14x + 5x – 3
O 6x3 + 14x2 – 5x – 3
O 6x3 – 10x2 – 5x - 3

Answers

6x3+14x+5x-356-34^4-546

Answer:

6x³+14x²-5x-3

Step-by-step explanation:

I'm assuming 2x2 is 2x²

(2x²+4x–3)(3x+1)=

6x³+2x²+12x²+4x-9x-3=

6x³+14x²-5x-3

1. 6x³+10x²-5x+3

2. 6x³+14x +5x-3

3. 6x³+14x²-5x-3

4. 6x³-10x²-5x-3

type 2 ways they are the same.

Answers

Answer:

if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry

Step-by-step explanation:

Which of the following represents a 1.00 M (M = mol/dm3) aqueous solution of glucose (C6H12O6)?

A. 180 g glucose per 1000 cm3 solution

B. 10.0 g glucose per 10.0 cm3 water

C. 90.0 g glucose per 500 cm3 water

D. 0.100 g glucose per cm3 solution

Answers

Answer:

Option C. 90.0 g glucose per 500 cm3 water

Step-by-step explanation:

1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.

The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.

Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.

For option B:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol

Mass of C6H12O6 = 10g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 10/180 = 0.056 mole.

Volume of water = 10cm³ = 10/1000 = 0.01dm³

Concentration = mole /Volume

Concentration = 0.056/0.01 = 5.6mol/dm³

Option B is wrong

For option C:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = 180g/mol

Mass of C6H12O6 = 90g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 90/180 = 0.5mole

Volume of water = 10cm³ = 500/1000 = 0.5dm³

Concentration = mole /Volume

Concentration = 0.5/0.5 = 1mol/dm³

Option C is correct.

For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.

From the above illustrations, option C is the correct answer.

Find the difference quotient of​ f; that​ is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6

Answers

Answer:

-4

Step-by-step explanation:

Given the following function:

f(x) = -4x + 6

We have to find the difference quotient of​ f(x); that​ is,

[f(x + h) - f(x)]/h

So, we ned to compute f(x + h) as follows:

f(x+h) = -4(x+h) + 6 = -4x - 4h + 6

Replacing into the difference quotient, we get:

[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h

[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h

[f(x + h) - f(x)]/h = [- 4h)]/h

[f(x + h) - f(x)]/h = -4

Which is the graph of y=[x]-2?

Answers

It’s the last graph that shows y = [x] - 2

directions for constructing the centroid of a triangle? ​

Answers

Step-by-step explanation:

1.Draw a triangle

2. Measure one of the sides of the triangle

3. Place a point at the midpoint of one of the sides of the triangle.

4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.

5. Repeat steps 2-4 for the remaining two sides of the triangle.

For each function, state weather it’s linear

Answers

Answer:

Step-by-step explanation:

function 1

slope=(1-0)/(0+2)=1/2

or slope=(4-1)/(2-0)=3/2

which is not same.

so it is not linear.

Function 2.

slope=(1+2)/(-3+4)=3/1=3

or slope=(4-1)(-2+3)=3/1=3

or slope=(7-4)/(-1+2)=3/1=3

slope is same. so it is linear.

Positive numbers have negative square roots.
O A. True
B. False

Answers

Answer:

false

Step-by-step explanation:

Answer: A. True  because multiplying a negative number by a negative number gives you positive.

Step-by-step explanation:

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