what is the scale factor from figure A to figure B

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

Answer:

Three more than twice a number is equal to four less than the number. find the number.

Answer:

[tex]c=-2[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x) = -2c + cx - x^2[/tex]

And that:

[tex]\displaystyle f^{-1} (5) = -1[/tex]

And we want to determine the value of c.

Recall that by definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a[/tex]

So, since f⁻¹(5) = -1, then f(-1) = 5.

Substitute:

[tex]f(-1) = 5 = -2c + c(-1) - (-1)^2[/tex]

Simplify:

[tex]5 = -2c - c - (1)[/tex]

Combine like terms:

[tex]6 = -3c[/tex]

And divide. Hence:

[tex]c = -2[/tex]

In conclusion, the value of c is -2.

Answer:

isabella will be able to pay 2 full years of insurance with her remaining savings

Step-by-step explanation:

as we know isabella saved $13,000

the car cost $11,675 - so subtracting that from her total we will know that she has: $1,325 remaining

insurance for a year costs $650,

so we will divide her remaining sum by the yearly cost giving us -

1,325/650

= ‎‎‎2.0.3....

this means that she will be able to pay for 2 full years of insurance with her remaining savings

hope this helped:)

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Explanation:

x = number of years

Since it costs $650 a year for insurance, she will pay 650x dollars of insurance in total over those x years.

For example, if x = 4, then 650*x = 650*4 = 2600 dollars is paid in insurance.

The expression 650x is added onto the 11675 which is the cost of the car.

Overall, Isabella pays 650x+11675 dollars as the combined cost of the car itself and the insurance over those x years.

Set this equal to 13000 and solve for x

650x+11675 = 13000

650x = 13000 - 11675

650x = 1325

x = 1325/650

x = 2.03846 which is approximate

Rounding down to the nearest whole number gets us to x = 2

She will be able to afford 2 full years of insurance

Note that if x = 3, then,

650x+11675

650*3+11675

13625

Which is 625 dollars over her budget. This shows that she cannot have x = 3 or larger.

Answer:

(a).

[tex]0.2 = {5}^{ \frac{1}{3} } [/tex]

(b).

[tex]125 = {5}^{3} [/tex]

Answer:

£23.96

Step-by-step explanation:

Area to be painted:

3.6 m * 8.3 m = 29.88 m^2

The area to be painted is 29.88 m^2.

A tin of paint covers 8 m^2. We divide to find the number of tins needed.

29.88/8 = 3.735

Since full tins must be bought, the smallest number of tins needed is 4.

Now we find the price of 4 tins. 1 tin costs £5.99, so 4 tins cost:

4 * £5.99 = £23.96

Answer:

4f^2 +4

Step-by-step explanation:

4 + 4f^2 + 6f - 6f

Combine like terms

4f^2 +4

300(1.08)^5

440.798423

Answer:

The options are not visible enough (See Explanation)

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

y:-  13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

[tex]Difference = 22 - 13 = 9[/tex]

[tex]Difference = 37 - 22 = 15[/tex]

[tex]Difference = 58 - 37 = 21[/tex]

[tex]Difference = 85 - 58 = 27[/tex]

The resulting difference are: 9 || 15 || 21 ||  27

Next; Calculate the difference between the difference of values of y

[tex]Difference = 15 - 9 = 6[/tex]

[tex]Difference = 21 - 15 = 6[/tex]

[tex]Difference = 27 - 21 = 6[/tex]

The resulting difference are: 6 || 6 || 6

For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.

Answer:

Q10ii: x axis horizontal, y axis vertical, a straight line through the origin and point (5,20)

Q11i: z = 8y

Q11ii: y axis horizontal, z axis vertical, a straight line through the origin and (6,48)

Step-by-step explanation:

Linear proportions will always produce straight lines when graphed. Also, they will have to go through the origin when there is not some kind of offset.

Answer:

The answer would be F(x)= 3

Step-by-step explanation:

you just substitute the 0 for all the x's in this case the x next to the 2.

f(x)= 3-2(0)

Then you multiply the 2 to the 0 which will give you 0.

f(x)= 3-0

And lastly you would subtract the 3 from the 0 and your answer will be

F(x)=3

Hope this helped!!!

Answer:

y=0

Step-by-step explanation:

The equation for the slope is

m = ( y2-y1)/(x2-x1)

-2 = (4-y)/(1-3)

-2 = (4-y)/-2

Multiply each side by -2

4 = 4-y

Subtract 4 from each side

4-4 = 4-y-4

0 = -y

0=y

Answer:

D. 13

Step-by-step explanation:

You just have to plug in numbers then solve.

(1,9) and (1,-4). Every coordinate is placed as (x,y)

(1,9) is labeled as (x1, y1)

(1,-4) is labeled as (x2,y2)

Now plug in the numbers.

d= Square root of (1-1)^2 + (-4-9)^2

d= Square root of 1^2 +-13^2

d= Square root of 1+169

d= Square root of 170

d= 13.04

Rounded to a whole number, the answer is 13

Answer:

D

Step-by-step explanation:

you have to substitute the values in the distance formula,in this case x2 is 1,x1 is 1,y2 is -4 and y1 is 9

d=√(x2-x1)²+(y2-y1)²

=√(1-1)²+(-4-9)²

=√(0)²+(-13)²

=√169

=13

I hope this helps

Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

Answer:

25000000

5000 X 10 is 50000

50000 X 10 is 500000

500000 X 50 is 25000000

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

A way to tackle this is to split all the numbers up into a digit and a power of 10.

5000 = 5*1000, and 1000 can be written as 10^3

10 = 1*10, and obviously 10 is 10^1

50 = 5*10, where 10 is 10^1

Now we have (5*10^3) * (1 * 10) *(1 *10)*(5 *10)

Gathering all the digits, we have 5*1*1*5, giving us 25

Gathering all the powers of 10, we have 10^3*10*10*10 = 10^6

expanding and multiplying gives us the final answer of 25000000

Answer:

It is 3^6

Step-by-step explanation:

[tex]{ \tt{ {9}^{7} \div {3}^{8} }} \\ = { \tt{( {3}^{2}) {}^{7} \div {3}^{8} }} \\ = { \tt{ {3}^{14} \div {3}^{8} }} \\ = { \tt{ {3}^{(14 - 8)} }} \\ = { \tt{ {3}^{6} }}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

Answer

19 X 3= 57

10 X 5= 10

57 + 10=

Therefore your answer is $67

Hope this helps! （づ￣3￣）づ╭❤～

Step-by-step explanation:

Answer:

[tex]\boxed{16 units}[/tex]

Step-by-step explanation:

Hey there!

Well since all the sides are congruent and there are 8 sides we can make the following expression,

P = 2*8

P = 16

Hope this helps :)

Answer:

16

Step-by-step explanation:

The sides of this figure are equal to each other .

the permiter is the sum of the sides

The figure has 8 sides.

● P = 8 × 2

● P = 16

Answer:

2nd option is the correct one

log|x|-f(x)+k

Answer:  Choice A

[tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex]

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Explanation:

Recall that [tex]\tan(x) = \frac{\sin(x)}{\cos(x)}[/tex] and [tex]\cot(x) = \frac{\cos(x)}{\sin(x)}[/tex]. The connection between tangent and cotangent is simply involving the reciprocal

From this, we can say,

[tex]\tan(\alpha)*\cot^2(\alpha)\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\left(\frac{\cos(\alpha)}{\sin(\alpha)}\right)^2\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos^2(\alpha)}{\sin^2(\alpha)}\\\\\\\frac{\sin(\alpha)*\cos^2(\alpha)}{\cos(\alpha)*\sin^2(\alpha)}\\\\\\\frac{\cos^2(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\\\\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]

In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.

All of this shows why [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is identical to [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]

Therefore, [tex]\tan(\alpha)*\cot^2(\alpha)=\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.

You can visually confirm that [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is the same as [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.

Answer:

(base x height x length)/2 = volume

6x8x8 = 384/2 = 192in^3

hope that answers your question

Explanation:

Point F is located at (2,0)

Multiply each of those coordinates by the scale factor 2.5

This means point F(2,0) moves to F ' (5,0) after applying the dilation, where the dilation is centered at the origin.

Answer: do do that you need a firm understanding of trig. once you do, you can see all the steps and solve a trig proof problem easily. So go back to solving regular trig questions, and keep asking yourself why this formula works. once you have understanding of that, you can solve trig proof problems with ease.

Step-by-step explanation:

Answer:

first one ( x ≥ -12)

Step-by-step explanation:

when you divide by -12 for both sides, the inequality reverses as the value is negative.

First one is the answer I think so

Answer:

not D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

18.00p maybe...............

━━━━━━━☆☆━━━━━━━

▹ Answer

435.20 square cm

▹ Step-by-Step Explanation

Diameter = 12

Radius = 1/2d

Radius = 1/2 * 12

Radius = 6

A = πr(r +√h² + r²) =

A = π · 6·(6 + √16²+6²)

≈ 435.19869 → 435.20 square cm

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Hi there!  

»»————-　★　————-««

I believe your answer is:  

O False

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Equation Given...}}\\\\\frac{1}{4}(12x-16)=4 \\---------------\\\\\rightarrow \left \{ {{\frac{1}{4} * 12 = 3} \atop {\frac{1}{4}*-16 = -4}} \right.\\\\\rightarrow \boxed{3x - 4 = 4}\\\\\\\rightarrow\boxed{3x - 4 = 4\neq 3x - 16 = 4} \leftarrow\\\\\text{The 'simplified' equation is not distributed correctly.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.