Find the slope of the line that passes through (3, 6) and (10, 9).

the 8th term of the geometric sequence 8, 16, 32 is 1024

first we have to find the ratio

r=2

then, we have to find the 8th term

U8=1024

Answer:

x = 3

Step-by-step explanation:

using the rule of exponents

[tex]4^{x}[/tex] = [tex](\frac{1}{2}) ^{x-9}[/tex]

[tex](2^2)^{x}[/tex] = [tex](2^{-1}) ^{x-9}[/tex]

[tex]2^{2x}[/tex] = [tex]2^{-1(x-9)}[/tex] = [tex]2^{9-x}[/tex]

suince the bases on both sides are equal, then equate the exponents

2x = 9 - x ( add x to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Yes the pre image and image are congruent always

See

They are transformed through a constant scale factor so they ought to be same .

And

If there angles of one triangle (pre image) are congruent to rest three(image) then triangles are congruent by AAA congruence

Table of values

4 0

5 1

6 2

7 3

Answer:

It should be 2/5 hours. 4/5 - 2/5 is 2/5.

Step-by-step explanation:

The probability of drawing a blue marble is the likelihood of blue marbles

The experimental probability of drawing a blue marble is 3/14

The probability of drawing a blue marble is calculated using:

P(Blue) = Blue/Total

So, we have:

P(Blue) = 12/(20 + 24 + 12)

Evaluate the sum

P(Blue) = 12/56

Simplify

P(Blue) = 3/14

Hence, the experimental probability of drawing a blue marble is 3/14

Read more about probability at:

https://brainly.com/question/251701

Answer: 3/14

Step-by-step explanation:

As x increases, y decreases.

Answer:

now let's answer this question:

Step-by-step explanation:

1) False

the power 2 spoiled everything.

2) False

like therms aren't always polynomials.

3)False

it's doesn't always come out as diff. of two squares.

4)True

1x+3x =4x ( imagine 1 + 3 = 4 s) ( sum means "add up").

5)False

the O in FOIL means "outer" or "outside" (tip: FOIL means "First", "Outside", "Inside", "Last").

6) True

we can't add them together, they're "unlike terms".

7)True

"Z" is missing in the first term

8) False

they're were multiplied which means they become one term now.

9)Trueeee

having a negative symbol doesn't change nothing

10)False

it's will still take the power it came with which is "2"

e.g 3^2 x 4^2 = 12^2 ( not 12^1 ).

Hope it helps...

thanks

Answer:

4 feet

Step-by-step explanation:

A=hbb

2

Solving forhb

hb=2A

b=2·12

6=4ft

Hey there!

10w + 40 < 450

SUBTRACT 40 to BOTH SIDES

10w + 40 - 40 < 450 - 40

SIMPLIFY IT!

10w < 450 - 40

10w < 410

DIVIDE 10 to BOTH SIDES

10w/10 < 410/10

SIMPLIFY IT!

w < 410/10

w < 41

(Your graph is shown below)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:729

Step-by-step explanation: volume is base area × height

Base area = 9×9

Volume =9×9×9

Answer:

The sample of 15 pieces of colored fruit snacks

Step-by-step explanation:

The sample of 15 pieces of colored fruit snacks. The 60 pieces are from ONE day which means it can be heavily biased. It might be like "BLUE RASPBERRY SPECIAL DAY!" or "PRESIDENTS DAY!! RED BLUE AND WHITE!!". However, 15 pieces, whilst having less of a population, is probably more spaced out.

Answer:

see explanation

Step-by-step explanation:

(a)

the centre of the circle is at the midpoint of the endpoints.

using the midpoint formula

centre = ( [tex]\frac{-10+4}{2}[/tex] , [tex]\frac{-2+6}{2}[/tex] ) = ([tex]\frac{-6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 3, 2 )

(b)

the radius r is the distance from the centre to either of the endpoints

using the distance formula to find r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = Q (4, 6 )

r = [tex]\sqrt{(4-(-3))^2+(6-2)^2}[/tex]

  = [tex]\sqrt{(4+3)^2+4^2}[/tex]

  = [tex]\sqrt{7^2+16}[/tex]

  = [tex]\sqrt{49+16}[/tex]

   = [tex]\sqrt{65}[/tex]

(c)

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius , then

(x - (- 3) )² + (y - 2)² = ([tex]\sqrt{65}[/tex] )² , that is

(x + 3)² + (y - 2)² = 65

Answer:

Step-by-step explanation:

a) Use midpoint formula to find the center.

[tex]\sf \boxed{Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

P(-10 ,-2) ⇒x₁ = -10  & y₁ = -2

Q(4,6) ⇒ x₂=4   & y₂ = 6

[tex]\sf midpoint = \left(\dfrac{-10+4}{2},\dfrac{-2+6}{2}\right)[/tex]

            [tex]=\left(\dfrac{-6}{2},\dfrac{4}{2}\right)\\\\=\left(-3,2\right)[/tex]

b) To find the radius, use the distance formula

[tex]\boxed{distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Q(4,6)  & O(-3,2)

[tex]r=\sqrt{(-3-4)^2+(2-6)^{2}}\\\\=\sqrt{(-7)^{2}+(-4)^2}\\\\=\sqrt{49+16}\\\\= \sqrt{65}[/tex]

radius = √65

c) Equation of circle : (x - h)² +(y -k)² = r²

Where (h,k) is the coordinates of the center and r is the radius

(x -[-3])² + (y - 2)²= (√65)²

(x + 3)² + (y -2)² = 65

Answer:

30.51$

Step-by-step explanation:

15+12=27$

5% of 27$=1.35$

18% of 27=4.86

Do the math: 27+4.86-1.35=30.51

Answer:

15g-h is the answer......

Answer:

5040 ways

Step-by-step explanation:

There will be 13 chairs altogether.

Since there are 7 girls who cannot sit together, the pattern will be alternate.

→ G, B, G, B, G, B, G, B, G, B, G, B, G

Total Ways

Answer:

9.5 * 10^23 molecules of HCl

Step-by-step explanation:

just a note this might be better to put in the chem section next time since this is a stoichiometry question

the molar mass of HCL is 1.007 + 35.45 = 65.457 g/mol

to find the number of moles, divide 100 by 65.457

then multiply the number of moles by 6.22 * 10^23 to get the number of molecules

[tex]100.00g * \frac{1 mol}{65.457g} * \frac{6.22 * 10^{23} molecules }{1 mol} = 9.502 * 10^{23} molecules[/tex]

Answer:

im not really good at drawing but Can I ask a question can I help you with other questions?

Step-by-step explanation:

Answer: $16

r=remainder

s=spent

r'=final remainder

160

160-(160 x .20) = r OR 160 x .80 = r

160-32 = r = 128 = 160 x .80 =

Then , 7/8 is lost so:

128 - (7/8 x 128) :

7/8=.875

128-(.875 x 128)

Using PEMDAS:

128-(112):

128-112= $16

Answer:

a

Step-by-step explanation:

The value of the 1 in the ones place is 1/10 the value of the 1 in the tenths place.

500+350.26+568.45+480.34+649.90 = $2548.95

hope it really helps...!!!

It would be C because that is the one that make the most sense

Answer:

  (c)  6.00 M

Step-by-step explanation:

The given equation can be solved for the unknown concentration.

__

  [tex]m_iv_i=m_fv_f\\\\m_i(35.0\text{ ml})=(1.40\text{ M})(150.0\text{ ml})\\\\m_i=\dfrac{(1.40\text{ M})(150.0\text{ ml})}{35.0\text{ ml}}\\\\\boxed{m_i=6.00\text{ M}}[/tex]

The concentration of the stock solution is 6 M.

Answer: c- 6.00 m

Step-by-step explanation:

got it right on edge

Answer:

C ≈ 11.71 cm

Step-by-step explanation:

using the ratio arc  AC : circumference C = angle at centre of sector : 360°

[tex]\frac{AC}{C}[/tex] = [tex]\frac{123}{360}[/tex] , that is

[tex]\frac{4}{C}[/tex] = [tex]\frac{123}{360}[/tex] ( cross- multiply )

123 × C = 4 × 360 = 1440 ( divide both sides by 123 )

C = [tex]\frac{1440}{123}[/tex] ≈ 11.71 cm ( to the nearest hundredth )

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=x\\ h=12\\ V=602.88 \end{cases}\implies \begin{array}{llll} 602.88=\pi (x)^2(12)\implies \cfrac{602.88}{12\pi }=x^2 \\\\\\ \sqrt{\cfrac{602.88}{12\pi }}=x\implies 4.0\approx x \end{array}[/tex]

Answer: B

Step-by-step explanation:

The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

here, we have,

In the graph, we can see two asymptotes at x = 1.

This means that the denominator is equal to 0 when x = 1, then we can write:

f(x) = A/(x - 1)

Where we can start thinking that A is a constant.

Now we also can see that when x = 2, f(2) is equal to 1, or:

f(2) = 1.

Then:

f(2) = 1   = A/(2 - 1) = A/1

Then we have  A = 1.

Then our function is:

f(x) = 1/(x - 1)

Hence, The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.

To learn more on graph click:

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#SPJ7

Answer:

  x + y = 3

Step-by-step explanation:

The equation of a line through two points can be found using the 2-point form for the equation of a line:

  y -y1 = (y2 -y1)/(x2 -x1)(x -x1) . . . . . line through points (x1, y1) and (x2, y2)

__

  y -5 = (1 -5)/(2 -(-2))(x +2) . . . . using points (-2, 5) and (2, 1)

  y -5 = (-4/4)(x +2)

  y -5 = -(x +2) . . . . . . equation in point-slope form

  y -5 = -x -2

  y = -x +3 . . . . . . . . . equation in slope-interept form

  x + y = 3 . . . . . . . . . equation in standard form

Step-by-step explanation:

a) 3×2×t=6t

b)500 years

Answer: 19926

this is the answer

Answer:

1(-1/3)^8

Answer: 1/6561

hope this is better