Before an algebraic fraction is selected as a final answer what should you always check?


That the power of the numerator is greater than the denominator.

That the coefficients of the denominator are greater than those in the numerator.

That the variables are all written in alphabetical order.

That the fractions are reduced with all common factors canceled.

Answer:

a = 2b/3−1/3

Step-by-step explanation:

...........

Answer:

1.132d

Step-by-step explanation:

Cost of the dinner=$d

Coupon=10% after

Tax=8%

Tax=0.08d

Tax + cost of dinner= d + 0.08d

Coupon for 10% discount after tax

10% coupon discount means she will pay 100% - 10%( coupon)

=90%

Price=90%(d + 0.08d)

=0.9(1.08d)

She added 16% tip to the total cost before any price or discount was applied

16% of d

=0.16*d

=0.16d

New price= 0.09(1.08d) + 0.16d

=0.972d + 0.16d

=1.132d

The Annuity payment will be "65,209.35 Taka". A further solution is provided below.

Given:

Monthly payment,

= 3000 Taka

Interest rate,

= 6% (compounded monthly)

Time,

= 18 years

The Future value will be:

→ [tex]FV = PMT\times \frac{((1+r)^{nt}-1)}{r}[/tex]

By putting the values, we get

         [tex]=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }[/tex]

         [tex]=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }[/tex]

         [tex]=1,162,059.58 \ Taka[/tex]

hence,

The Annuity payment will be:

→ [tex]P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}[/tex]

      [tex]=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}[/tex]

By substituting all the values, we get

      [tex]=65,209.35 \ Taka[/tex]

Thus the correct answer is "65,209.35 Taka".

Learn more the Annuity payment here:

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Answer:

-8

Step-by-step explanation:

2(-2) +3(-2) +2

-4 -6 +2

-10 +2

-8

Answer:

Measure of arc CD = 112°

Step-by-step explanation:

Since quadrilateral ABCD is a cyclic quadrilateral,

m∠A + m∠C = 180°

129° + m∠C = 180°

m∠C = 180° - 129°

m∠C = 51°

Since, m(arc BD) = 2(m∠C) [Since measure of the arc is double of its inscribed angle]

                           = 2(51°)

                           = 102°

Since, m(arc BD) + m(arc CD) + m(arc BC) = 360°

102° + m(arc CD) + 146° = 360°

m(arc CD) = 360° - (102° + 146°)

                = 112°

Therefore, measure of arc CD is 112°.

Answer:

d. -4

Step-by-step explanation:

Let's plug in g

8 - |2(-3.5) - 5|

8 - |-7-5|

8 - |-12|

The absolute value is always positive of any number,

8 - 12

= -4

Answer:

D. -4

Step-by-step explanation:

We are given this expression:

[tex]8-|2g-5|[/tex]

and asked to evaluate when g= -3.5 Therefore, we must substitute -3.5 in for g.

[tex]8-|2(-3.5)-5|[/tex]

First, multiply 2 and -3.5

2 * -3.5 = -7

[tex]8-|-7-5|[/tex]

Next, subtract 5 from -7.

-7-5= -12

[tex]8-|-12|[/tex]

Next, evaluate the absolute value of -12. The absolute value is how far away a number is from 0, and it is always positive. The absolute value of -12 is 12.

[tex]8-12[/tex]

Subtract 12 from 8.

[tex]-4[/tex]

The value of the expression is -4 and D is the correct answer.

Answer:

C. x-2

Step-by-step explanation:

edge

Answer: the 3rd the answer c

x-2

Step-by-step explanation:

Answer: find the answer in the explanation.

Step-by-step explanation:

To increase the time the fireworks stays in the air by 2 seconds to build up the suspense, 2 should be added to the time t.

T + 2 = t

T = t - 2

Substitute T for t in the function g(t)

The company will make this happen without changing the length of the fuse by substituting T for t which will lead to

g(t) = -16(t - 2)^2 + 224(t - 2) + 120

How will this affect the maximum height of the firework?

Initially the function is:

g(t) = -16t2 + 224t + 120

Where the time at maximum height is found by using the formula

t = -b/2a

b = 224, a = -16

Substitutes both into the formula

t = -224/2(-16)

t = -224/-32

t = 7

Substitute 7 for t in the first equation

g(t) = -16(7)^2 + 224(7) + 120

g(t) = -16(49) + 224(7) + 120

g(t) = -784 + 1568 + 120

g(t) = 904 metres

But when the time is delayed by 2 seconds in the air, the maximum height will be

g(t) = -16( 7 - 2 )^2 + 224(7 - 2) + 120

g(t) = -16(5)^5 + 224(5) + 120

g(t) = -16(25) + 224(5) + 120

g(t) = -400 + 1120 + 120

g(t) = 840

The effect will surely reduce the maximum height of the fireworks.

Answer:

x = 54.6 m

Step-by-step explanation:

Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is

[tex]\frac{MA}{MN}[/tex] = [tex]\frac{MB}{MP}[/tex] , substitute values

[tex]\frac{80.5-35}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex]

[tex]\frac{45.5}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex] ( cross- multiply )

80.5x = 4395.3 ( divide both sides by 80.5 )

x = 54.6

Answer:

Answer:

Answer:x = 25°

Answer:x = 25°Step-by-step explanation:

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°

Hence the answer is 25.

there is no visible graph

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

y= -3x+4

Let x = -4

y= -3(-4) +4 = 12 +4 = 16

Let x = -0

y= -3(0) +4 = 0 +4 = 4

Let x = 4

y= -3(4) +4 = -12 +4 = -8

Let x = 8

y= -3(8) +4 = -24 +4 = -20

Answer:

D + E = F + H

Step-by-step explanation:

We have to identify the two pairs from the give table which have the same result.

These pairs show the relation as A + B = C + D

We take a pair of expressions given in options (D) and (E)

By adding them,

D + E = (-4 + 9i) + (6 - 6i)

         = 2 + 3i

Similarly we add the expressions given in options (F) and (H),

F + H = (-9 + 15i) + (11 - 12i)

         = 2 + 3i

Therefore, D + E = F + H will be the answer.

Answer:

x= 45

Step-by-step explanation:

Complementary angles equal 90 degrees

The angles are equal

x+x = 90

2x= 90

Divide by 2

2x/2 = 90/2

x= 45

Greetings from Brasil...

Here is the problem:

[(15X - 8)/3] + [(9X - 3)/2]

Let's multiply everything by 6

[6.(15X - 8)/3] + [6.(9X - 3)/2]

[2.(15X - 8)] + [3.(9X - 3)]

30X - 16 + 27X - 9

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

Step-by-step explanation:

9.

it is a rectangle. 18m × 4m = 72 m²

the paving costs $35 per m², and we have 72 m², so it does not take a genius to figure out what to do next ...

right : we multiply 35 by 72

35×72 = $2520

10.

how much volume is a liter ?

a liter fits into a cube of 10cm side length.

and 1 meter = 100 cm = 10×10cm.

so, 1 m³ = 10×10×10 = 1000 such cubes of 10cm side length = 1000 liters.

the pool is 5 m × 15 m × 1.5 m = 112.5 m³ = 112500 liters

we need 2 kg salt for every 10000 liters water, so we have how many units of 10000 liters in the pool ?

112500 / 10000 = 11.25

so, we need

11.25 × 2 = 22.5 kg salt

11.

12 seconds = 1/5 of a minute.

so, batman runs at 3 km / min (= 60×3 km/hour = 180 km/h - not possible in real life for any human being, but let's play ...) for 12 seconds = 1/5th of a minute, and so he runs 3km/5 = 600 meters in that time.

that means he has 2km - 600m = 1400m left to run in the 2 km race.

it takes him 1400/3000th of a minute (3000 m would take him the full minute)

1400 m × minute / 3000 m = 14/30 = 7/15 minutes

1/15th minute = 60 seconds / 15 = 4 seconds.

so, 7/15th of a minute = 7×4 seconds = 28 seconds.

the bionic woman runs the full 2000 m with 5 km / minute.

it takes her 2000/5000th of a minute

2000 m × minute / 5000 = 2/5th of a minute.

1/5th of a minute is 60 seconds / 5 = 12 seconds.

so, 2/5th of a minute is 12×2 = 24 seconds.

therefore, the bionic woman wins by 4 seconds (24 seconds vs. 28 seconds).

12.

there is enough food for 150 students for 5 days = 150×5 =750 "food units".

therefore, if there were only 100 students, the food would last 750/100 = 7.5 days.

and if the food runs out after 4 days it means there are

750/4 = 187.5 students (how much sense that makes to have half a student ...).

13.

x = the workload to be done

Michelle's work speed is x/6 days

Danielle's work speed is x/4 days

on each day working together they achieve

1× x/6 + 1× x/4 of the total work load.

that is

2x/12 + 3x/12 = 5x/12

so, they need 5x/12 × a days to finish the whole x.

5x/12 × a = x

5/12 × a = 1

5a = 12

a = 12/5 = 2.4 days to finish the whole work when working together.

Answer:

x =20.8

Step-by-step explanation:

We can find the value of 1/2 of x using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 12^2

a^2 = 36+144

a^2 = 108

Take the square root

sqrt(a^2) = sqrt( 108)

a =sqrt(36*3)

a = sqrt(36) sqrt(3)

a = 6sqrt(3)

Now x = 2 times the length of a

x = 2 * 6 sqrt(3)

x = 12 sqrt(3)

x =20.78460969

x =20.8

Answer:

To find the surface area of a cylinder you need a specific formula.

The formula to finding the surface area is

[tex]A=2\pi rh+2\pi r^2[/tex]

2 x pi x 7 + 2 x pi x 4 squared

144.513262065 would be the specific answer.

Answer:

Yes, we can.

Step-by-step explanation:

Hello, I found this one.

[tex]\displaystyle \sum_{n=0}^{\infty} \dfrac{1}{n!}[/tex]

We can prove that it exists and it is equal to e.

But this is nor arithmetic nor geometric.

Thank you

Suppose there is a function f(x), the definite integral of the function is the difference between the upper and lower x-values.

There are three relationships between the definite integral and the area of the region. The relationships are:

Positive function

The area between the function itself and the x-axis represents the definite integral.

Negative function

The area between the function itself and the x-axis, multiplied by -1 represents the definite integral.

Region between two functions

The definite integral of the function is the difference between the region of both functions.

See attachment for further illustration

Learn more about area of a region and the definite integral at:

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Answer:

12 to the power of -2 is 0.00694444444

Step-by-step explanation:

When ever doing a number to the power of a negative number, the result will always be a fraction of a number.

Or

Fraction:

1/12^2

which is

1 / 144

Percentage:

0.00694444444 * 100 = 0.694444444%  

Hope this helps, have a good day :)

(brainliest would be appreciated?)

The simplest form of the given expression [tex]12^{-2}[/tex] is 1/144.

The given expression is,

[tex]12^{-2}[/tex]

Here we can see that 12 has inverse power of 2.

Simplify it using basic rules of exponents.

To do so, we need to understand that a negative exponent indicates that the base should be inverted.

In other words, [tex]12^{-2}[/tex] is the same as 1/12²

To simplify this further,  

Evaluate 12², which is,

12² = 12 x 12

     =  144

Therefore, 1/12² can be expressed as 1/144.

Hence,

In the simplest form, we can write [tex]12^{-2}[/tex] as 1/144.

Learn more about the mathematical expression visit:

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#SPJ6

Answer:

9d + -2.7f + -3.5

Step-by-step explanation:

The distributive property simply is a form of multiplication that allows the sum of two or more numbers with common multiples to be rewritten.

In the case of this expression, our common multiple is the negative sign which implies an understood -1.

So you can write the expression as such:

(-1) (-9d + 2.7f + 3.5)

So to distribute the -1 to each term, we will simply write the expression:

(-1)(-9d) + (-1)(2.7f) + (-1)(3.5)

Which will give us the distributed expression:

9d + -2.7f + -3.5

Cheers.

Answer:

Step-by-step explanation:

39/5 as a mixed number;

39/5 as a mixed number;39 ÷ 5 = 6 remaining 9

Therefore:

6 9/5

Answer:

x =  2 units

Step-by-step explanation:

Diagonals of rectangle are congruent and bisect each other

Therefore, OB = OA

   5x + 4 =  3x + 8

    5x = 3x + 8 -4

    5x = 3x + 4

5x - 3x = 4

      2x =  4

      x = 4/2

      x =2

Answer:

[tex]\boxed{0.15}[/tex]

Step-by-step explanation:

Part 1: Solve for the total amount of marbles

To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.

8 + 14 + 12 = 34 marbles

Part 2: Determine the probabilities

Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.

[tex]\frac{12}{34}*\frac{14}{33} = \frac{28}{187} \approxeq 0.1497 \approxeq 0.15 * 100 = 15[/tex]

The probability of these events occurring simultaneously is 15%.

Step-by-step explanation:

so 2.3 + 5.7 is 8.0 is the answer

Answer: C. 4 months

Step-by-step explanation:

Someone in the comments said 4 months, tried it, and I got it correct so just passing it on.

1. Open the GeoGebra link.

2. Select the triangle shape, or draw a triangle by combining line segments.

3. The application will also have a tool to measure the angles.

4. Measure all 3 angles.

5. Note them down in the assignment.

Click on the instructions hyperlink for detailed information.

Answer:

The midpoint is (-4.5,.5)

Step-by-step explanation:

To find the x coordinate, add the x coordinate of the ends and divide by 2

(-1+-8)/2 = -9/2 = -4.5

To find the y coordinate, add the y coordinate of the ends and divide by 2

(5+-4)/2 = 1/2 =.5

The midpoint is (-4.5,.5)