The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?

Answer:

9a + 3b

Step-by-step explanation:

Given

5(3a + b) - 2(3a + b) ← distribute both parenthesis

= 15a + 5b - 6a - 2b ← collect like terms

= 9a + 3b

Answer:

The final answer would be [tex]9a + 3b[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex]5(3a+b)-2(3a+b)[/tex]

Use Distributive Property:

[tex]5(3a+b)-2(3a+b)[/tex]

[tex]15a + 5b - 6a - 2b[/tex]

-Combine [tex]15a[/tex] and [tex]6a[/tex]:

[tex]15a + 5b - 6a - 2b[/tex]

[tex]9a + 5b - 2b[/tex]

-Combine [tex]5b[/tex] and [tex]-2b[/tex]:

[tex]9a + 5b - 2b[/tex]

[tex]9a + 3b[/tex]

So, the answer is [tex]9a + 3b[/tex] .

Answer:

11.

Step-by-step explanation:

Because you wanted to find the second term, just substutite n=2 into the formula.

Thus, 3(2)^2 - 1 = 3(4) - 1 = 11

Answer:

Step-by-step explanation:

We get the second term by just plug in 2 (instead of n) in the sequence formula:

second term = 3×(2)² - 1 = 11

Answer:

t = (A/sx) - r

Step-by-step explanation:

Solve for t like this:

[tex]A = s(t+r)x\\A = sx(t+r)\\\\\frac{A}{sx} = t+r\\\frac{A}{sx} - r = t\\t= \frac{A}{sx} - r[/tex]

Answer:

Correct option: Second one -> 141.3 cm3

Step-by-step explanation:

The volume of "snow" is the sum of the half sphere volume and the cone volume.

The volume of the half-sphere is given by the formula:

V = (2/3) * pi * radius^3

If the half sphere has a radius of 3 cm, we have that:

V1 = (2/3) * pi * 3^3 = 56.5 cm3

The volume of the cone is given by:

V = (1/3) * pi * radius^2 * height

If the radius is 3 cm and the height is 9 cm, we have:

V2 = (1/3) * pi * 3^2 * 9 = 84.8 cm3

So the final volume is:

V = V1 + V2 = 56.5 + 84.8 = 141.3 cm3

Correct option: Second one

Answer:

0.09

Step-by-step explanation:

Answer:

m<5 = 95 degrees

Step-by-step explanation:

Let's first find m<1

=> m<1 = 180-85

=> m<1 = 95 degrees

Since,

m<1 = m<5 (Corresponding angles)

So,

m<5 = 95 degrees

Step-by-step explanation:

trial......I think all of them are greater than 256 if you multiply please rephrase the question it is confusing

Answer:

r=10.9cm

Q=12cm

S=14.42cm

Step-by-step explanation:

Pythagoras theorem states H²=b²+h²

H-hypotenuse

B-base

h-height

E.g q 4²+3²=HE

H=√25=5

13²=b²+5²

b²=169-25

b=√144=12

Q=12cm

Answer & Step-by-step explanation:

The problem tells us that ΔABC ≅ ΔDEF. Since we know that this is true, then we also know that ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

So, since we are looking for the measurement of ∠F, then all we have to do is know the measurements of ∠C because they are congruent angles.

So, the measurement of ∠F is 63°

Answer:

The overall change in temperature over the time period ∆T = -12.6°F

Step-by-step explanation:

Rate of change of temperature r = -2.8°F per hour

Time t = 4.5 hours

The overall change in temperature ∆T = Rate of change of temperature × time period

∆T = r × t

∆T = -2.8°F per hour × 4.5 hours

∆T = -12.6°F

The overall change in temperature over the time period is -12.6°F

Answer: -12.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's write a system.

Let's say that the variables are x and y.

xy=48

x+y=14

Solve for one of the variables, let's say, x.

x=14-y.

Now substitute x into the 1st equation.

(14-y)y=48

Simplify.

-y²+14y=48

Make it into a quadratic equation.

-y²+14y-48=0

Make sure y²'s coefficient is one. Divide everything by -1

y²-14y+48=0

Now factor!

What factors add up to 14 and multiply to 48.

6 and 8!

Since the 2nd term is negative, and the 3rd term is positive, the factors have to be negative.

y²-6y-8y+48=0

Group.

(y²-6y)+(-8y+48)=0

y(y-6)-8(y-6)=0

(y-8)(y-6)=0

y-8=0

y-6=0

y=8 y=6

now let's substitute each y value into y²-14y+48=0

8²-14(8)+48=0

64-112+48=0

0=0. so y=8 checks out!

6²-14(6)+48=0

36-84+48=0

0=0 so y=6 also checks out!

Choose one y value and solve for x, in each equation :

xy=48

x+y=14

8x=48

x+8=14

x=6

x=6

It checks out!

so the factors are

x=6 y=8.

Answer:

15

Step-by-step explanation:

13/2 +7/2+5

20/2 +5

10+5

=15

The right answer is 15.

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

y = 9/4x.

Step-by-step explanation:

According to slope-intercept form, y = mx + b where m is the slope and b is the y-intercept.

So, y = 9/4x + 0

y = 9/4x.

Hope this helps!

The required equation of the line is given as 9/4x with a slope of 9/4 and a y-intercept of 0.

Given that,
The linear equation represents a line with a slope of 9/4 and a y-intercept of 0 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
Standard equation of the line,
y = mx + c
Put , = 9/4 and c = 0
y = 9/4x + 0
y = 9/4x

Thus, the required equation of the line is given as 9/4x.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Answer:

[tex]E(n)=75000 \times 2^n[/tex]

Complete question:

write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's

Step-by-step explanation:

According to the question, she earned $75000 for the first book.

Also,We are  given that her cumulative earnings double with each sequel that she writes.

Assuming she has written n sequel's

Now since we are given that her cumulative earnings double with each sequel

So, her initial earning will be [tex]2^n[/tex] times

So, her earning will be : [tex]75000 \times 2^n[/tex]

Now we are given that cumulative earnings is denoted by E(n)

So, the function becomes :[tex]E(n)=75000 \times 2^n[/tex]

Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's  is  [tex]E(n)=75000 \times 2^n[/tex]

Answer:

b

Step by Step Explanation:

Answer:

7(2 - x)

Step-by-step explanation:

Answer:

x>6

Step-by-step explanation:

8(×+1)>7(x+2)

(8×x)+(8×1)>(7×x)+(7×2)

8x+8>7x+14

Now subtract 8 and 7x from each side of the inequality to solve for x while keeping the inequality balanced:

-7x+8x+8-8 > -7x+7x+14-8

(-7+8)x+0>0+6

1x>6

x>6

Answer:

89

Step-by-step explanation:

586 divide by 4 is 146.5 so then i rounded to make it 147 then subtracted the points she already had (58) which led me to 89

Answer:

132 questions

Step-by-step explanation:

First, let’s find how many more points she needs.

To find this, find the difference between the points she needs and the points she has.

points needed- points gained

She needs 586 points and already has 58 points.

586 points-58 points

528 points

Now, we need to find how many questions she needs to answer correctly.

She needs 528 points and every correct question is worth 4 points.

Therefore, we can divide 528 by 4 to find how many questions she must answer correctly.

528/4=132

132 questions

She must answer 132 questions correctly to pass the test.

Answer:

Equation to be used: Point- Slope form [tex] y-y_1= m(x-x_1)[/tex]

y-intercept = - 12

Step-by-step explanation:

He should use point - slope form equation.

It is given that, line is passing through the points[tex] (1,\: -8) = (x_1\:y_1)[/tex] and has a slope m = 4.

The equation of line in point-slope form is given as:

[tex]y-y_1= m(x-x_1)\\y-(-8) = 4(x-1)\\y+8 = 4x - 4\\y = 4x - 4 -8\\\huge\red{\boxed{y= 4x - 12}}...(1)\\Equating\: equation\: (1) \: with;\\y = mx + b \\y-intercept\: (b) = -12[/tex]

Answer:

The answers are B and D.

Step-by-step explanation:

Answer:

[tex] \boxed{Area \: of \: trapezium = 72 \: {cm}^{2}} [/tex]

Step-by-step explanation:

[tex]Area \: of \: trapezoid = \frac{1}{2} (sum \: of \: parallel \: sides) \times height[/tex]

Parallel sides are = 9 cm and 15 cm

Height = 6 cm

[tex]Area \: of \: trapezium = \frac{1}{2}(9 + 15) \times 6 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2 } \times 24 \times 6 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12 \times 6 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 72 \: {cm}^{2} [/tex]

Answer:

1. 8x

2. 3x

3. 14x

4. 12x

5. 11x

6. 11x

7. 7x + 2

8. 16x +3

9.8x+5

10.9x + 4

11. 21x + 9

12. 7x + 8

Step-by-step explanation:

1. 8x

2. 3x

3. 14x

4. 12x

5. 11x

6. 11x

7. 7x + 2

8. 16x +3

9.8x+5

10.9x + 4

11. 21x + 9

12. 7x + 8

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1.

5x + 3x = 8x

2.

3x + x = 3x

3.

6x + 8x = 14x

4.

9x + 3x = 12x

5.

7x + 4x = 11x

6.

10x + x = 11x

7.

3x + 2 + 4x = 7x + 2

8.

15x + 3 + x = 16x + 3

9.

2x + 5 + 6x = 8x + 5

10.

7x + 2x + 4 = 9x + 4

11.

18x + 3x + 9 = 21x = 9

12.

6x + x + 8 = 7x + 8

EXPLANATION:

If it has the same base value, just add the coefficient.

More simply put, if they have an 'x' in front of them, just add the number before the 'x.'

You can't add a value with an 'x' in front and a value that doesn't

or example, you can't add 12x and 3

13.

3(7x + 5y)

14.

2(x + 7y)

15.

5(3x + 2y)

16.

6(2x + 3y)

17.

10(x + 3y)

18.

2(3x + 7y)

19.

8(x + 2y)

20.

9(5x + 3y)

21.

6(9x + 8y)

EXPLANATION

Find the highest common factor and divide the expression by this value

Place the HCF outside the brackets

Quick test: If you multiply the value outside the brackets by what is on the inside, it should give the original expression

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Answer:

137 units^2.

Step-by-step explanation:

A and B are positioned according to their coordinates, in the X and Y axes Imagine a right angled triangle, where the actual distance between the two points is the hypotenuse, and the other two sides are the distances in the “X” and “Y” axes that separate the two points.

In the “X” axis, they’re separated by 3 -(-1) units that’s 4…

In the “Y” axis, they’re separated by 4 - (-7) units that’s 11…

Now we have the lengths of two sides of the triangle, we can calculate the length of the hypotenuse… But why would we? we’ve been asked for the area of the square, and adding the areas of the squares on the other two sides gives our answer-

4^2 + 11^ 2 = 16 + 121, = 137 units^2. You didn’t specify units, so we don’t know what the area is, we just have a numerical value.

Answer:

58

Step-by-step explanation:

The distance between (-1,4) and (2,-3) is sqrt 58. Square that to be 58

Answer:

x>−2

Step-by-step explanation:

Let's solve your inequality step-by-step.

x−2x+5<7

Step 1: Simplify both sides of the inequality.

−x+5<7

Step 2: Subtract 5 from both sides.

−x+5−5<7−5

−x<2

Step 3: Divide both sides by -1.

−x

−1

<

2

−1

x>−2

Answer:

x>−2

Answer:

Juan:34

Kim:30

Larry:36

Step-by-step explanation:

Answer:

Kim = 30

Juan = 34

Larry = 36

Step-by-step explanation:

30+34+36=100

if Kim has 30 cards and Juan has 4 more than her while Larry has 6 more then Juan would have 34 and Larry would have 36 making this equation true.

Answer:

reeeeeerre

Step-by-step explanation:

Answer:

-2j+39=111=

-2j+39=111-39

-2j=72

-2j÷2=72÷2=

j=36

the answer is j=36

Answer:

iuhi on edge its c

Step-by-step explanation:

Answer: The gcf is 10

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I love your name. my friend is also named like that. and she has a twin that is named jessicamarie.......oof!

Answer: D

Step-by-step explanation:

Distributive Property is when you want to apply to FOIL method when you are multiplying out the expression. You would have multiple number/terms to multiply out to. The only answer choice that shows this is D.

In D, you are distributing the 5 to 8 and -2. So, you are multiplying 5×8=40 and 5×-2=-10. Then you have 40-10.

A is just multiplying, 5 and 1/5.

B is just multiplying 5 and 1.

C is just Associative Property, changing the parenthesis.

D  shows Distributive Property.

Answer:

Explanation:

C is the not the answer because when there is a minus sign with a number in front of the parenthesis, the numbers in the parenthesis will bave to be solved instead of distributed.

B is not the answer because there are not even parenthesis to empasise the distibution.

A is not the asnwer because the numbers are simply being canceled out into the number 1 with a fraction and a whole number.