In how many ways can the letters of the word ``COPYRIGHT'' be arranged?

Answer:

6x^2 + 5x + 6

Step-by-step explanation:

Distributive property

Answer:

=6x^2+5x−6

Step-by-step explanation:

Using the foil method, 3x*2x+3x*3+-2*2x+-2*3

Answer:

no you need 10.5cm

Step-by-step explanation:

so convert 0.895m to cm by multiplying it by 100 to get 89.5 which is less

so take the required 100-89.5

Subtraction is a mathematical operation. The ribbon is not enough. 10.5 cm of ribbon is more needed.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

It is known that 1 meter is equal to 100cm, therefore, the length of the ribbon will be equal to,

[tex]\rm 1\ m =100\ cm\\\\0.895\ m = 0.895 \times 100 = 89.5\ cm[/tex]

Now, as the ribbon needed is 100 cm, therefore, the length of ribbon that is needed more is

[tex]\rm \text{length of the ribbon needed} = 100\ cm - 89.5\ cm = 10.5\ cm[/tex]

No, the ribbon is not enough. 10.5 cm of ribbon is more needed.

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Answer:

ABC≅DEF

x = 2

CB = 3

FE = 4

y = 5

ED = 6

FD = 7

AB = 8

AC = 9

In triangle ABC=

Side AC= 9 cm

Side CB= 3 cm

Area= [tex]\frac{1}{2}[/tex]×[tex]b[/tex]×[tex]h[/tex]

        =13.5 cm^2

In triangle DEF=

Side FE= 4 cm

Side FD= 7 cm

Area= [tex]\frac{1}{2}[/tex]×[tex]b[/tex]×[tex]h[/tex]

        =14 cm^2

Answer:ITS A

Step-by-step explanation:

SAS: side angle side

SSA: is not a congruence theorem

AAS:angle angle side

SSS:side side side

Answer:

The answer is A.

Step-by-step explanation:

Just took the test

Answer:

18

Step-by-step explanation:

cm  15   -> 14

hours  6   ->?

cm 15  x3->45

hours 6 x3->18

the 45 cm long candle is 3 times as long ,so it would burn for 3 times as long A 45cm long candle would burn for 18 hours

Answer:

3.92$

Step-by-step explanation:

The first step is to deduct 20% of 4.50 from 4.50.

20% of 4.50 is 0.2 x 4.50 = .90

4.50 - 0.90 = 3.60

That's the new price without the sales tax.

Now we need to add 9% of 3.60 to 3.60 to get the final cost.

9% of 3.60 is .09 x 3.60 = 0.32

3.60 + .32 = $3.92

Hope it helps.. If yes mark me BRAINLIEST

Tysm!

Answer:

$3.92

Step-by-step explanation:

Hello! For this question we need to gather up all the facts before we could answer it!

The original nail polish cost was $4.50

But the bottle was marked down by 20%

Then has a sales tax of 9%

So let's multiply 4.50 x 0.2 = 0.9

With that we need to subtract off of the original price because it is decreasing.

4.50 - 0.9 = 3.60

But that is not the final price because the bottle has a sales tax! We need to multiply the price after the 20% mark down, so, 3.60 x 0.09 = 0.324

And Then because we are dealing with money, we are going to make sure that we are only adding a decimal that goes up to the hundredths place.

Add: 3.60 + 0.32 = 3.92

The Final price of the nail polish that Dora bought would be $3.92. Which is actually a 0.58 cents drop!

I hope this helped!

Answer:

72.96

Step-by-step explanation:

Let the first circle's radius be r and quarter circle's radius be R

Area of circle = π[tex]r^{2}[/tex]

                       = 3.14 × 8 × 8

                       = 200.96 [tex]cm^{2}[/tex]

Area of quarter circle = π[tex]R^{2}[/tex]/4

                                     = 3.14 × 16 × 16

                                     = 803. 84/4

                                     =200.96

Area of shaded portion = (Area of Quarter circle - Area of semi-circle ACD - Area of triangle ABC) + (Area of the circle -  Area of semi-circle ACD - Area of triangle ABC)

Area of Semi-circle =   Area of the circle divided by 2

                                 = 100.48

Area of triangle = [tex]\frac{bh}{2}[/tex]

                           = [tex]\frac{16 * 8}{2}[/tex]

                           = 64

Therefore, The area of shaded portion= (200.96-100.48-64) + (200.96 - 100.48 - 64)

= 36.48 +36.48

=72.96

Your question has been heard loud and clear.

Answer is option d or the fourth option.

thank you

Answer:

88

Step-by-step explanation:

mother's age = 12+24

= 36

father's age = 12+40

=52

add the parent age= 36+52

= 88

Answer:

x=1/4

y=1/2

Step-by-step explanation:

Given:

-2.4x+3.6y=1.2

2.4x + 1.2y=1.2

-2.4x+3.6y=1.2

Divide through by 1.2

-2x+3y=1

2.4x + 1.2y=1.2

Divide through by 1.2

2x+y=1

-2x+3y=1 (1)

2x+y=1 (2)

From 2

y=1-2x

Substitute y=1-2x into (1)

-2x+3y=1

-2x+3(1-2x)=1

-2x+3-6x=1

-8x=1-3

-8x=-2

Divide both sides by -8

x=1/4

Substitute x=1/4 into (2)

2x+y=1

2(1/4)+y=1

2/4+y=1

1/2+y=1

y=1-1/2

y=1/2

x=1/4

y=1/2

Answer:

x=1

Step-by-step explanation:

edge 2021

Answer:

no

Step-by-step explanation:

The 5x+30 is the supplementary angle of the interior one:

180 - 5x - 30 = -5x + 150

Then they have to add up to 180:

4x-9 + 2x+3 -5x + 150 = 180

which simplifies to x = 36

So the angles would be 135, 75 and -30, which is impossible!

Answer:

Casey is correct.

Step-by-step explanation:

Robert's 5 1/8 + 2 1/3 = 7 1/2 is wrong because if 5+2 = 7, I would have to change the denominator of both fractions so they are both the same. The denominator would have to be 24. That would make the fractions 3/24 and 8/24. If you added them together, it would not be able to simplify to 1/2.

Casey's -4 1/2 + 6 3/4 = 2 1/4 is correct because —4 - 6 = 2. In order to make the fractions have the same denominator, you would have to multiply -1/2 by 2 on both numerator and denominator wich would  equal -2/4. Now add -2/4 and 1/4 and you get 1/4. If my explaining is confusing, I'm sorry!☜(ﾟヮﾟ☜)

Casey is correct and he will get the correct solution.

We have given that,

ROBERT                          CASEY

5 1/8+ 2 1/3 = 7 1/2       -4 1/2+ 6 3/4= 2 1/4

Robert's 5 1/8 + 2 1/3 = 7 1/2 is wrong because if 5+2 = 7, I would have to change the denominator of both fractions so they are both the same.

A statement that the values of two mathematical expressions are equal.

The denominator would have to be 24.

That would make the fractions 3/24 and 8/24.

If you added them together, it would not be able to simplify to 1/2.

Casey is correct.

-4 1/2 + 6 3/4 = 2 1/4 is correct

because 4 - 6 = 2.

In order to make the fractions have the same denominator, you would have to multiply -1/2 by 2 on both numerator and denominator which would equal -2/4.

Now add -2/4 and 1/4 and you get 1/4.

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Answer:

[tex]x=\frac{-5+\sqrt{33} }{2}[/tex]

[tex]x=\frac{-5-\sqrt{33} }{2}[/tex]

Step-by-step explanation:

Using the quadratic formula in which a=1, b=5 and c=-2

[tex]x_1=\frac{-b+\sqrt{b^{2}-4ac } }{2a} \\x_2=\frac{-b-\sqrt{b^{2}-4ac } }{2a}\\x_1=\frac{-5+\sqrt{5^{2}-4(1)(-2) } }{2(1)}\\x_1=\frac{-5+\sqrt{33} }{21}\\x_2=\frac{-5-\sqrt{25+8 } }{2}\\x_2=\frac{-5-\sqrt{33} }{2}[/tex]

Answer:

9 lb 4 oz

Step-by-step explanation:

Justin weighed 8 lb 12 oz at birth. He gained 8 ounces by his two-week checkup. So,

8 lb 12 oz + 8 oz = 8 lb 20 oz

But, 16 oz equals one pound. So,

20 oz = 1 lb with 4 oz remaining

Now add them together.

8 lb + 1 lb 4 oz = 9 lb 4 oz

Justin's weight is 9 lb 4 oz.

Hope that helps.

Answer:

[tex]\huge\boxed{\cot\theta=\dfrac{1}{xy}}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}[/tex]

[tex]\sin\theta=x\\\\\sec\theta=y\\\\\cot\theta=?\\\\\text{We know:}\\\\\sec x=\dfrac{1}{\cos x};\ \cot x=\dfrac{\cos x}{\sin x}\\\\\sec\theta=y\to\dfrac{1}{\cos \theta}=y\to\dfrac{\cos\theta}{1}=\dfrac{1}{y}\to\cos\theta=\dfrac{1}{y}\\\\\cot \theta=\dfrac{\frac{1}{y}}{x}=\dfrac{1}{xy}[/tex]

[tex]\bold{METHOD\ 2}[/tex]

[tex]\text{We know}\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}=\dfrac{1}{\tan x}\\\\\sec x=\dfrac{1}{\cos x}\\\\\text{therefore}\\\\(sin x)(\sec x)=(\sin x)\left(\dfrac{1}{\cos x}\right)=\dfrac{\sin x}{\cos x}=\tan x\\\\\dfrac{1}{(\sin x)(\sec x)}=\dfrac{1}{\tan x}=\cot x[/tex]

[tex]\\\sin \theta=x;\ \sec\theta=y\\\\\text{substitute}\\\\\cot\theta=\dfrac{1}{xy}[/tex]

Answer:

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.

$8 .   YES

$9 .    HELL NO

$11 .   DEFINITLY NOT

$13 .  GET OUTTA HERE

$14 .   MMM YES

Step-by-step explanation:

Answer:

A and E or 8, 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

find the difference between the two angles first:

155-65=90 degrees

d is the distance d:

d^2=a^2+b^2-2ab cos(90)

d^2=10^2+8^2-2(10)(8)cos(90)

d^2=164

d=√164=12.81

the bearing of R from P to the nearest degree:

180-155=35 degrees

Answer:

3.88 feet

Step-by-step explanation:

let the length the ladder reaches be x

[tex] \tan(57) = \frac{x}{8} [/tex]

[tex]x = 8 \tan(57) [/tex]

x = 3.8775938143

Answer:

3(1 - 20) + 10 = 4

3 * (-19) + 10 = 4

-57 + 10 = 4

-47 = 4

Since the two are not equal, this statement is false/invalid.

Hope this helps!

Answer:

-6/5

Step-by-step explanation:

The slope is (4 - (-2)) / (-1 - 4) = (4 + 2) / (-5) = 6 / -5 = -6/5.

Answer:

-6/5

Step-by-step explanation:

We can find the slope by using the slope formula

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

    = (4 - -2)/(-1 -4)

   = (4+2)/ ( -1-4)

   =-6/5

Answer:

First investment = $98000

Second = $413,000

Step-by-step explanation:

Given the following :

Investment 1:

Let first investment = f

Rate = 8% = 0.08

Investment 2:

$21,000 more than 4 times of investment 1:

4f + 21000

Rate = 10% = 0.1

Total annual interest earned from both :

$49,140

Interest on investment 1 + interest on investment 2 = $49,140

To solve:

Simple Interest = principal * rate * time

Time = 1 year

Total interest = (f * 0.08 * 1) + ((4f + 21000) * 0.1 * 1)

49140 = 0.08f + 0.4f + 2100

0.48f = 47040

f = 47040 / 0.48

f = 98000 = first investment

Second investment :

4f + 21000

= 4(98000) + 21000

= $413,000

Answer:

[tex]x=-1,5[/tex]

Step-by-step explanation:

[tex]x^2-4x-5=0[/tex]

In order to solve this quadratic, we have many methods. We can factor, complete the square, or use the quadratic formula. I'm going to factor since it's the easiest method.

To factor, find two numbers that when multiplied equal a(c) and when added equal b.

a=1, b=-4, and c=-5.

So we want two numbers that when multiplied equals 1(-5)=-5 and when added equals -4.

-5 and 1 are the possible numbers. Therefore:

[tex]x^2-4x-5=0\\x^2+x-5x-5=0\\x(x+1)-5(x+1)=0\\(x-5)(x+1)=0\\x=5, -1[/tex]

The coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

The table of values is given as:

Gallons       Cost

1                      1.25

2                     2.50

5                     6.25

15                     18.75

20                    25.00

The inverse of the above table would have the following header

Cost     Gallons

When the inverse table is populated, we have:

Cost    Gallons

1.25          1

2.50        2

6.25         5

18.75        15

25.00      20

The coordinates are: (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

Hence, the coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

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Answer:

Step-by-step explanation:

[tex]x \times 2 + 1 = 10[/tex]

[tex]2x + 1 = 10[/tex]

Move constant to R.H.S and change its sign

[tex]2x = 10 - 1[/tex]

Subtract the numbers

[tex]2x = 9[/tex]

Divide both sides of the equation by 2

[tex] \frac{2x}{2} = \frac{9}{2} [/tex]

Calculate

[tex]x = 4.5[/tex]

Hope this helps..

Best regards!!

Answer:

6/100x

Step-by-step explanation:

Answer:6/100x

Step-by-step explanation:

Answer:

11.2 ounces

Step-by-step explanation:

Answer:

Using the given information in the problem, the value of f  is 9

Step-by-step explanation:

In this problem, we will be using tangent, Tangent is the opposite side divided by the adjacent side from the given angle. The given angle that we will be using for this problem is the measurement of ∠F which is 58°. We will use this for our equation.

Let's set up our equation for tangent.

[tex]Tan(58)=\frac{15}{f}[/tex]

Since we are looking for f , then we will rearrange the equation.

[tex]f=\frac{15}{tan(58)}[/tex]

Now, we will solve for x. You can use a calculator to do these calculations.

[tex]f=9[/tex]

So, the value of f in the triangle is 9.

Answer:  f=9

Because quick mafs says so

Answer:

C = 314 m

Step-by-step explanation:

The circumference of a circle is given by

C = pi * d

Using 3.14 for pi

C = 3.14 * 100

C = 314 m

Answer:

The answer is option D.

Step-by-step explanation:

Circumference of a circle = πd

Where d is the diameter

From the question

d = 100m

Circumference of the circle is

100π

= 314.2

Which is 314m to the nearest whole number

Hope this helps you

Answer:

0.2%=0.200%

756%=756.000%

762%=756.000%

90%=90.000%

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Answer:

[tex]YZ = 48[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

[tex]XZ = 60[/tex]

Required

Find YZ

From the attachment, AB is parallel and equal to YC;

This implies that

[tex]AB = YC = 24[/tex]

Given that C is the midpoint of YZ;

This implies that

[tex]YC = CZ = 24[/tex] and [tex]YZ = YC + CZ[/tex]

Substitute values for YC and CZ

[tex]YZ = 24 + 24[/tex]

[tex]YZ = 48[/tex]

Answer:

48

Step-by-step explanation: