1.5,3,4.5,6,...arithmetic sequence or geometric sequence

Answer:

20% = 20/100 or 2/10 or 1/5

Step-by-step explanation:

Answer:

20% as a fraction can be 20/100 1/5 2/10

Step-by-step explanation:

Answer:

C. x^2 + 2x - 1 = 3

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx + c = 0

We need to use the quadratic formula and the given expression to find the values of a, b, and c.

The quadratic formula is

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Where the formula has -b, the problem has -2, so b = 2.

Now we have

ax^2 + 2x + c = 0

In the denominator, where the formula has 2a, the problem has 2(1), so a = 1.

Now we have

x^2 + 2x + c = 0

Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.

Now we have

x^2 + 2x - 4 = 0

Let's look at choice A.

x^2 + 1 = 2x - 3

Subtract 2x from both sides. Add 3 to both sides.

x^2 - 2x + 4 = 0   This is not it!

Let's look at choice B.

x^2 - 2x - 1 = 3

Subtract 3 from both sides.

x^2 - 2x - 4 = 0     This is not it!

Let's look at choice C.

x^2 + 2x - 1 = 3

Subtract 3 from both sides.

x^2 + 2x - 4 = 0     This is it!

Answer: C. x^2 + 2x - 1 = 3

[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.

Option D is correct.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is  [tex]ax^{2} +bx +c =0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

The quadratic formula is used to find the roots of a quadratic equation.

[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]

According to the question

[tex]x=\frac{-2 \pm \sqrt{2^{2} -4(1)(-4)} }{2.1}[/tex]

We all know the quadratic formula for finding the factors of a quadratic equation

[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]

By comparing two formulas we get a = 1, b = 2, c = -4

Standard form of quadratic equation is [tex]ax^{2} +bx +c =0[/tex]

Substitute a = 1, b = 2, c = -4 in the standard form of quadratic equation

⇒ [tex]x^{2} +2x-4=0[/tex]

We can write it as

⇒ [tex]x^{2} +2x -1=3[/tex]

[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.

Option D is correct.

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Answer:

The answer is 170 meters

Step-by-step explanation:

hope it helps :)

Answer:

825 g

Step-by-step explanation:

Here's my work:

500g Cl2 l   1mol Cl2  l  2 mol NaCl   l  58.5 g NaCl

                l   71 g Cl2    l  1 mol Cl2      l    1 mol NaCl  

= 823.94  - the rounding can be a little off

The first thing you have to do is convert the 500 g of Cl2 into moles.  So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71.   now on the third column you are comparing the mol ratios of the equation.  The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a  coefficient of 2 in front of NaCl so that means there is 2 moles.  Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl .  You multiply across the top  and then divide that number by the bottom row.

Answer:

27

Step-by-step explanation:

The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )

After Alice eats 3 purple sweets, then ratio is

5 : 3 = 5x : 4x - 3

Express the ratio in fractional form, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )

5(4x - 3) = 15x

20x - 15 = 15x ( subtract 15x from both sides )

5x - 15 = 0 ( add 15 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Then

number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

Answer:

Step-by-step explanation:

To find the slope you need to follow the formula shown below.

Slope (m) = ΔY/ΔX

Now solve

ΔY = 6 – 0 = 6

ΔX = 2 – 0 = 2

Write as a fraction

6/2

Convert to a number

6/2 = 3

And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.

Answer:

Its 10!

Step-by-step explanation:

Complementary mean 90°!

80+10=90

Hope this helps, and don't forget to follow!

Answer:

Associative Property of Multiplication

Step-by-step explanation:

The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.

Answer:

9

Step-by-step explanation:9x5

Answer:

40%

Step-by-step explanation:

Total entries=  180

Entries from 6th grade= 72

Percentage = 72/ 180 x 100= 40%

Hope its right!!!

Answer:

7+18=25 that's the answer

Answer: 14.66 in

Step-by-step explanation:

Answer:

120, remember the angles have to add up to 180

Step-by-step explanation:

Answer:

60 because 30+30=60 and a triangle is 180° so 180-60= 120 and it's a line so 180-120=60 ifykyk

Answer:

1692.5 ft³

Step-by-step explanation:

Thank you for giving the equation which would help me in solving. We know that our h which is the height is 11 ft. We have to find what the radius. Radius is the have of the diameter. In the figure, the 14 ft is the diameter. So in order to find the radius, we would divide it by 2.

14 ft ÷ 2 = 7 ft

h = 11 ft

r = 7 ft

Now plug it in the equation.

[tex]\pi[/tex]

In the equation you have this sign above. Remember this is the pi sign which is 3.14.

V = 3.14r²h

V = 3.14(7)² × 11

V = 3.14(49) × 11

V = 153.86 × 11

V = 1692.5 ft³

Hope this helps, thank you :) !!

Answer:

B

Step-by-step explanation:

Answer:

491.34

Step-by-step explanation: (862 x 43)/100 = $370.66 then you 862 - 370.66 = $491.34 i hope this helps

Answer:

$491.34

Step-by-step explanation:

Take $862 x .43 = 370.66

then you take 862.00 and subtact it by 370.66

then you get $491.34

Answer:

AB = 8

AD = 10

<A = 118

<D = 62

Step-by-step explanation:

1. AB

Because opposite sides in a parallelogram are equal, DC = AB = 8.

2. AD

Because opposite sides in a parallelogram are equal, BC = AD = 10.

3. <A

Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118

4. <D

Opposite angles are equal in a parallelogram, so B = D = 62

Answer:

AB = 8

AD = 10

m∠A = 28°

m∠D = 62°

Step-by-step explanation:

A few facts to remember about a parallelogram.

1.  Opposites sides are congruent

2.  Opposites angles are congruent

3.  Consecutive angles are complementary

So, AB = 8,  AD = 10,  m∠A = 90 - 62 = 28°, m∠D = 62°

Answer:

2 • (x + 1) • (x - 2)

Step-by-step explanation:

2 times (x + 1) times (x - 2)

Answer:

g= -2

Step-by-step explanation:

Answer:

g=−2

Step-by-step explanation:

regroup: 2(3+g)−g=−4(g+1)

expand: 6+2g−g=−4g−4

simplify: 6+g=−4g−4

add 4 to both sides: 6+g+4g=−4

simplify again: 6+5g=−4

5g=−10

divide 5

g=-2

Answer:

f=−px+8x−2/x

Step-by-step explanation:

its a fraction

Answer:

she can fill 6 if them

Step-by-step explanation:

2/3 ÷ 4 = 1/6

Step-by-step explanation:

‌[tex]\large \mathcal{Answer}[/tex]

Answer:

Ils sont amicaux, regardez sur le site nosdevoirs

Step-by-step explanation:

Answer:

59,09

.........................................................

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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Answer:

slope is 5 y intercept is -6

Step-by-step explanation:

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

d=−5

Step-by-step explanation:

Answer:

if the drawing length is 5 inches, the actual length in feet would be 12.5 ft

Step-by-step explanation:

2 inches = 5 ft

1 inch = 2.5 ft

5*2.5=12.5 ft as final answer.

hope it helps