Can someone help me with this question?

Answer:

-6x⁷ + 12x − 3

Step-by-step explanation:

Method 1 :

[tex]-3x^0\ (2x^7-4x+1)[/tex]

[tex]= (-3x^0)\times 2x^7-(-3x^0)\times4x+(-3x^0)\times1[/tex]

[tex]= (-3x^0)\times 2x^7+(3x^0)\times4x+(-3x^0)\times1[/tex]

[tex]=-6x^{0+7}+12x^{0+1}-3x^0[/tex]

[tex]=-6x^{7}+12x^{1}-3x^0[/tex]

[tex]=-6x^{7}+12x-3[/tex]

Method 2 :

Note : x⁰ = 1

[tex]-3x^0\ (2x^7-4x+1)[/tex]

[tex]=-3\ (2x^7-4x+1)[/tex]

[tex]=-3\times2x^7-(-3)\times4x+(-3)\times1[/tex]

[tex]=-6x^7+12x-3[/tex]

Answer:

1)  14080

2) 1408

3) 17036.80

Step-by-step explanation:

It is given that 

Principal= 12800

Rate of interest =10% p.a

(i) We know that Interest for the first year=

(12800×10×1)/100

 = 1280

So the sum due at the end of first year= 12800+1280

   = 14080

(ii) Principal for second year = 14080

So the interest for the second year

=(14080×10×1)/100

=1408

iii) We know that Sum due at the end of second year

= 14080+1408

=15488

Here

Principal for third year= 15488

Interest for the third year= (15488×10×1)/100

                                      =1548.80

So the total amount due to him at the end of third year= 15488+1548.80

                                       = 17036.80

Answer:

65 square yards

Step-by-step explanation:

5x5=25

5x4=20

5x4=20

20+20+25= 65

The coin is an illustration of probability, and the probability of getting two heads and a tail is 3/8

The sample space of tossing a coin three times is:

S = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

On the sample space, we have:

Two heads and a tail = 3

Sample size = 8

The required probability is then calculated using:

P = 3/8

Hence, the probability of getting two heads and a tail is 3/8

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Answer:

xy represents the diameter

Step-by-step explanation:

did you make a typo, or do you actually mean dm ?

1 dm = 10 cm

in any case, in a right prism object it does not matter what shape the bases are.

the volume is always

base area × height

so, if you did not make a typo, then

height = 2.3 dm = 23 cm

and the volume of the prism is

44 × 23 = 1012 cm³

but if you did make a typo and

height = 2.3 cm,

then the volume of the prism is

44 × 2.3 = 101.2 cm³

Answer:

1012 centimeters cubed

Step-by-step explanation:

Volume=base x length x width

height = 2.3 dm, which is 23 cm, so the volume of the prism would be 44 × 23 = 1012 cm cubed

Answer:

42min would have elapsed

Step-by-step explanation:

2:37-2:40 (3 min)

2:40-3:00 (20 min)

3:00-3:19 (19 min)

Answer:

AB = [tex]\sqrt{20}[/tex]

Step-by-step explanation:

calculate the distance using the distance formula

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

with (x₁, y₁ ) = B (3, 2 ) and (x₂, y₂ ) = A (7, 4 )

AB = [tex]\sqrt{(7-3)^2+(4-2)^2}[/tex]

     = [tex]\sqrt{4^2+2^2}[/tex]

     = [tex]\sqrt{16+4}[/tex]

     = [tex]\sqrt{20}[/tex]

     ≈ 4.47 ( to 2 dec. places )

Answer:

[tex]distance = \sqrt{(3 - 7) ^{2} } + (2 - 4) ^{2} \\ = \: \: \sqrt{16} + 4 \\ \\ = \: \: \: \: 2 \sqrt{5} [/tex]

Answer:

C

Step-by-step explanation:

pythagorean theorem: a²+b² = c²

area of square = length²

c = side opposite right angle = length of square Z

thus, area of square Z = c²

area of square X = a² (or b², it doesn't matter)

area of square Y = b² (or a²)

a² + b² = c²

region x + region y = region z

Answer:

∠ACB

Step-by-step explanation:

we have three options for angles in triangle ABC:

- ∠CAB

- ∠ABC

- ∠ACB

∠ACB is the only angle out of the three given that doesn't directly touch side AB, so this must be our answer

Answer: 20

Step-by-step explanation: imagine the books in 10's cuz 30/3=10 and 2 of those tens out of the group of three are nonfiction, so that makes 20 out of 30

Answer:  B. The triangle in question is a right triangle.

Reason:

The sides are

Plug them into the equation below and simplify both sides

[tex]a^2+b^2 = c^2\\\\3^2+4^2 = 5^2\\\\9+16 = 25\\\\25 = 25\\\\[/tex]

Therefore, we have a right triangle. For more information, check out the converse of the pythagorean theorem.

Answer:

r = 4/5

Step-by-step explanation:

Formula

Sum of an infinite geometric series = a / (1 - r)

Givens

Sum = 5*a

a = a

r = ?

Solution

5a = a/(1 - r)                   Divide both sides by a

5a/a = a / (a * (1 - r)       The a's on the right cancel

5 = 1 / (1 - r)                    Multiply both sides by 1 - r

5*(1 - r) = 1*(1 - r)/(1 - r)   The 1 - r s on the right cancel

5*(1 - r) = 1                     Remove the brackets.

5 - 5r = 1                        Subtract 5 from both sides

5-5 - 5r = 1 - 5               Combine

-5r = - 4                          Divide by - 5

r = 4/5  

The number of songs Kim started with are 18songs while the number of songs Eric started with are 36 songs.

Firstly, Kim = 1/2 of Eric's

Ed = 1/3 of Kim= 6 songs

Eric = 2 songs

Total songs by the whole traders is = 12 ×3 = 36songs

If Kim gave Ed, 1/3 of her songs =6 , then her whole song is 6×3 = 18songs.

But she gave out 6 to Ed so 12 songs will remain.

If 18 songs received by Kim is half of Eric songs therefore, 18×2 = 36

But half was given to Kim therefore 18 songs is remaining for Eric

Ed received 6songs from kim and gave out 2, there, 4 songs is remaining for Ed.

Therefore the number of songs Kim started with are 18songs while the number of songs Eric started with are 36 songs.

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Answer:

the largest number that is less than (2+√3)^6 is 2701

Step-by-step explanation:

[tex]\bigstar \ (2+\sqrt{3})^6= \\\\C{}^{0}_{6}2^{6}+C{}^{1}_{6}2^{5}\sqrt{3}^1+C{}^{2}_{6}2^{4}\sqrt{3}^2+C{}^{3}_{6}2^{3}\sqrt{3}^3+C{}^{4}_{6}2^{2}\sqrt{3}^4+C{}^{5}_{6}2^{1}\sqrt{3}^5+C{}^{6}_{6}\sqrt{3}^6[/tex]

[tex]=64+192\sqrt{3}+720 +480\sqrt{3} +540+108\sqrt{3} +27\\=1351+780\sqrt{3}[/tex]

[tex]\bigstar\ (2-\sqrt{3} )^6 =\\\\1351-780\sqrt{3}[/tex]

[tex]\bigstar\ \bigstar\ (2+\sqrt{3} )^6+(2-\sqrt{3} )^6 =\\\\1351+780\sqrt{3}+1351-780\sqrt{3}[/tex]

[tex]\Longrightarrow(2+\sqrt{3} )^6+(2-\sqrt{3} )^6 =2702[/tex]

[tex]\Longrightarrow(2+\sqrt{3} )^6 =2702-(2-\sqrt{3} )^6[/tex]

[tex]0 < \left( 2-\sqrt{3} \right) < 1 \Longrightarrow 0 < \left( 2-\sqrt{3} \right)^{6} < 1 \Longrightarrow-1 < \left( 2-\sqrt{3} \right)^{6} < 0[/tex]

[tex]\Longrightarrow2702-1 < 2702-\left( 2-\sqrt{3} \right)^{6} < 2702+0[/tex]

[tex]\Longrightarrow 2701 < \left( 2+\sqrt{3} \right)^{6} < 2702[/tex]

Answer:

20π cm or approximately 62.8 cm

Step-by-step explanation:

» Concepts

The circumference of a circle is the distance, or perimeter, around a circle in a certain unit such as centimeters. The formula to find the circumference, as stated, it 2πr, where r = radius.

» Application

In this case, we're asked to find the circumference of the circle using the formula 2πr. We're also given the radius as 10 cm.

» Solving

or

Answer:

c=2nr

but r=10 and n=3,14

c=2(3,14)(10)

c=62,8

Answer:

1.667

Step-by-step explanation. Step by Step SolutionRearrange:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :                      5/w-(3)=0 Step by step solution :STEP 1: 5

Simplify —

w

Equation at the end of step 1: 5

— - 3 = 0

w

STEP 2:Rewriting the whole as an Equivalent Fraction  2.1   Subtracting a whole from a fraction Rewrite the whole as a fraction using  w  as the denominator : 3 3 • w

3 = — = —————

1 w

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominatorAdding fractions that have a common denominator : 2.2       Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 5 - (3 • w) 5 - 3w

——————————— = ——————

w w

Equation at the end of step 2: 5 - 3w

—————— = 0

w

STEP 3:When a fraction equals zero : 3.1    When a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.Here's how: 5-3w

———— • w = 0 • w

w

Now, on the left hand side, the  w  cancels out the denominator, while, on the right hand side, zero times anything is still zero.The equation now takes the shape :   5-3w  = 0Solving a Single Variable Equation: 3.2      Solve  :    -3w+5 = 0  Subtract  5  from both sides of the equation :                       -3w = -5 Multiply both sides of the equation by (-1) :  3w = 5 Divide both sides of the equation by 3:                     w = 5/3 = 1.667 One solution was found : w = 5/3 = 1.667                  

Answer

5603328

Step by step explanation:

Hey! Rmemeber length x width x height!

Multiply: 9 1 2 x 5 1 2 x 12

Answer= 5603328

And thats it! If it is wrong you must have put the wrong numbers in, I dont get why their spaces though....

Have a good day!!

Answer:

I = PRT / 100

R = 100I/PT

R = 12000/6000

R = 2%

Step-by-step explanation:

Step 1:  Convert words into an expression

Four times the quotient of 3 divide by 4

We know that we are going to be multiplying 4 by something because in the statement we have four times.  Reading further we also know that we are going to be dividing 4 from 3 which means that we will have 3/4.  Finally, we see that we multiply our 3/4 by 4 which gives us our final solution.

[tex]4 * (3 / 4)[/tex]

If we want to solve it the 4's would just cancel and we would be left with 3.

3

Explanation:

You would start by dividing 3 by 4. Then multiply [tex]\frac{3}{4}[/tex] and 4. The 4s would cancel out leaving you with 3.

[tex]\frac{3}{4}[/tex] × [tex]4=3[/tex]

Answer:

The range is (D) or '12'

Step-by-step explanation:

The answer is 6

In order to find the area, we need to use L x W

given that:

3(L) x 2(W) = 6 square centimeters

Explanation:

6. A Linear function can be written in the form of f(x) = mx + b

7. In the form of f(x) = mx + b, the y intercept is b

8. The graph x = c is a vertical line with x intercept (c,0)

9. The graph y = c  is a horizontal line with y intercept (0, c)

10. To find x intercept, let the y = 0, and solve for x

Answer:

See below ~

Step-by-step explanation:

Solutions :

===============================================================

6. A(n) linear function can be written in the form f(x) = mx + b.

===============================================================

7. In the form f(x) = mx + b, the y-intercept is b.

===============================================================

8. The graph of x = c is a vertical line with x-intercept (c, 0).

===============================================================

9. The graph of y = c is a horizontal line with y-intercept (0, c).

===============================================================

10. To find an x-intercept, let y = 0 and solve for x.

In the circle the measure of angle QPR in radians is π/4.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

The length of the arc QR is 4π, which is 1/2 of the circumference of the circle P.

Therefore, the circumference of the circle is -

2πr = 2π(8) = 16π

The angle subtended by the arc QR at the center of the circle is therefore -

θ = arc length / radius

θ = (4π) / 8

θ = π/2

Now, consider the triangle QPR.

The angle QPR at the center of the circle is equal to twice the angle subtended by the arc QR at any point on the circumference of the circle.

Therefore -

2∠QPR = θ = π/2

Solving for ∠QPR, we get -

∠QPR = (π/2) / 2

∠QPR = π/4

Therefore, the measure QPR is π/4.

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The available fund for April is $324.83 if the Isaac has a balance of $28.17 in his utilities budget at the end of March.

It is defined as the money spends on the utility, the amount of money is required to buy something in other words it is the outflow of money from the solely earners income or the money incurred by any organization.

We have:

Current balance = $28.17

16% of his $1,854.14

= (1854.14×16)/100

= $296.66

The available fund for April  = 296.66 + 28.17 = $324.83

Thus, the available fund for April is $324.83 if the Isaac has a balance of $28.17 in his utilities budget at the end of March.

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Answer:

Step-by-step explanation:

Hello

Please what’s the explanation to get the answer (2+2) ² (2+3)³

we use PEMDAS

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

(2 + 2)² + (2 + 3)³ =

4² + 5³ =

16 + 125 =

141

Answer:

c. 166

Step-by-step explanation:

area = l x w

surface area = area

Answer:

h(-3) = 4.2 or 21/5

h(1) = 0.2 or 1/5

Step-by-step explanation:

Plug in -3 for t.

-(-3) + 6/5 = 4.2 or 21/5

Plug in 1 for t.

-(1) + 6/5 = 0.2 or 1/5