Simplify the expression.

Answer:

[tex]\left(1 - \sin^{2}(x)\right)^{2}[/tex].

Step-by-step explanation:

Notice that "[tex]1[/tex]" is equal to "[tex]1^{2}[/tex]" whereas [tex]\sin^{4}(x) = {\left(\sin^{2}(x)\right)}^{2}[/tex]. Therefore:

[tex]\begin{aligned} & 1 - 2\, \sin^{2}(x) + \sin^{4}(x) \\ =\; & 1^{2} - 2\, \sin^{2}(x) + {\left(\sin^{2}(x)\right)}^{2}\end{aligned}[/tex].

Make use of the identity [tex](a - b)^{2} = a^{2} - 2\, a\, b + b^{2}[/tex]. In this case, set [tex]a = 1[/tex] whereas [tex]b = \sin^{2}(x)[/tex]. Therefore:

[tex]\begin{aligned} & 1^{2} - 2\, \sin^{2}(x) + {\left(\sin^{2}(x)\right)}^{2} \\ =\; & a^{2} - 2\, a\, b + b^{2} \\ =\; & (a - b)^{2} \\ =\; & {\left(1 - \sin^{2}(x)\right)}^{2}\end{aligned}[/tex].

Answer:

The answer should be 2

Step-by-step explanation:

P

r

=

n

!

(

n

−

r

)

!Subtract

1

from

2

.Simplify

2

!

(

1

)

!

.

Answer: the answer is 1 over 2 which is e

Step-by-step explanation: 4 and 2 and 3 equal 9 so 1 over 6 times 9 cubes equal 1.5 which is 1 over 2

Answer: 1/5

Step-by-step explanation:

Answer:

B. 12 days

Step-by-step explanation:

This can be set up as an equation:
64x = 768, where x represents the days it will take to achieve 768 doughnuts.

Divide both sides by 64.

x = 12.

It will take 12 days to make an additional 768 doughnuts.

Answer:

32294643

Step-by-step explanation:

You can first set up a proportion.

22.4/100 = 7234000/x

723400000 = 22.4x

x = 32294642.8571 ≈ 32294643

I hope this is correct and that it helps!

Answer:

can u add a picture cause i dont understand what ur saying at all

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

4 x 5 = 20

But then we need to subtract the $10 the tattoos cost.

So the amount of money they made was $10.

Hope this helps!

Answer:

$20

Step-by-step explanation:

$4 × 5 = $20

basically just multiply 4 by 5

Answer:

3/6+2/6 or 1/6+1/6+1/6+1/6+1/6

Step-by-step explanation:

when you decompose a fraction ask yourself "what will add up to the numerator of the fraction?" when decomposing keep denominator the same.

3+2=5. answer 5/6

Answer:

D

Step-by-step explanation:

This is because of the slope and amount of earnings Tatiana has.

Tatiana gets 26 dollars added to her earnings every 2 hours

Sample: 16 + 26 = 42

The 16 represents the number of earnings that Tatiana gets/earns for hour 0.

If we were to graph the earnings of Tatiana meaning her time represents X and the earnings represent Y. We could clearly see that Tatiana earns more money than Darryl.  

Answer:

chocolate chips: $3.75

walnuts: $2.5

Step-by-step explanation:

lets say chocolate chips cost x dollars and walnuts cost y dollars. we then have

6x + 5y = 35

2x + 3y = 15

multiply the second equation by 3 to get 6x + 9y = 45

subtract the 1st equation from the new equation to get 4y = 10, so y=$2.50

plug this value into the 2nd equation to get x=$3.75

Answer:

2 inches

Step-by-step explanation:

if there are 2 books that are 1 1/2 thick, the second thinnest book would be 1/12... the second thickest book im guessing would be 3 1/2, so you'd have 2 inches in between

Answer: the answer is, 2 and one half

Step-by-step explanation: I took the test. Please give brainliest

Answer:

The scale factor is 5

Step-by-step explanation:

To find the scale factor, we divide 17 by 3.4 to find how much it was enlarged by.

17/3.4 = 5

We do this becuase when finding the scale factor, we take the dilated shape/side length and divide it by the original shape/side length.

Answer:

2a+2b=360

2(60)+2b=360

120+2b=360

2b=360-120

2b/2=240/2 divide by 2

b=120

step 2

2a+2b=360

2(60)+2(120)=360

120+240=360

360=360

2a+2b=360

2(75)+2b= 360

150+2b=360

2b=360-150

2b/2=210/2

b=105

step 2

2a+2b=360

2(75)+2(105)=360

150+210=360

360=360

Answer:

[tex](x+5)^2+(y-2)^2=36[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius, thus:

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36[/tex]

This means that our equation for the given circle is [tex](x+5)^2+(y-2)^2=36[/tex]

Answer: 336ft²

Step-by-step explanation:

The polygon in the image provided is a trapezoid.

The formula for the area of a trapezoid is [tex]A=(\frac{a+b}{2} )(h)[/tex]

Where

A is the area

a is one of the bases (24 for this)

b is the other base (32 for this)

and h is the height (12 for this)

Sub the values into the formula and solve

[tex]A=(\frac{24+32}{2} )(12)\\A=(\frac{56}{2} )(12)\\A=(28)(12)\\A=336[/tex]

Answer:

336

Step-by-step explanation:

24 x 12 = 288. 12 x 8 = 96 divided by 2 is 48. 288 + 48 = 336

Answer:

2

Add negative 4 to positive 6, which is 4 - 6 but backwards, and that gives you 2

Or subtract 0 by 4, then add 2 which is -4 because you are subtracting 4 by 0 instead of 0 by 4, which would be four.

[tex]way~1\\4 - 6 = 2\\\\way~2\\(0 - 4) + 6 = 2[/tex]

Answer:

perimeter is 36

Step-by-step explanation:

if x=3

then it turns into

Width 7-2(3)

length 5(3)+2

which equals

width 1

length 17

since it's a perimeter you add all four corners

which is 1+1+17+17=36

Answer:

2x^2 + 3x - 7   (a= 2 , b= 3 , c= -7)

discriminant= b^2 - 4ac

                   = (3)^2 - 4(2)(-7)

                   = 9 + 56 = 65

The answer is D. 65

Hope this helps :)

Answer:

-1.05

Step-by-step explanation:

Answer:

38.7126

step-by-step explanantion:

so it's technically 33 percent off because the taxes is 7 percent.

and 33 percent of 57.78 is 19.0674. so 57.78-19.0674 will equal 38.7126

The original cost of the bathing suit without tax or the discount is $38.72.

The term "discount" refers to a pricing scheme in which a commodity's (goods or services) price is lower than its marked price. Simply said, a discount is a proportion of the advertised price.

The bathing suit is 40%off including 7% tax.This means that the discount of 40% includes the tax of 7%.Thus the discount without tax will be calculated by: 40%-7%=33%

Now we will calculate the discount without tax on the final cost of the bathing suit, i.e, 33% of the final cost.

[tex]\frac{33}{100} \times 57.78=19.06[/tex]

So, we get a discount of $19.06 on the final cost.Then the original cost of the bathing suit without the tax or the discount will be the final cost less than the discount: $57.78-$19.06=$38.72

So, the original cost of the bathing suit without tax or the discount is $38.72.

Learn more about discount here- brainly.com/question/843074

#SPJ2

Answer:

(8,6)

Step-by-step explanation:

Refer to the graph below

Answer:

28.4

Step-by-step explanation:

10.5x2= 21

3.7x2= 7.4

21+7.4 = 28.4

Answer:

After 25 minutes

Step-by-step explanation:

The answer is C

Answer:

Step-by-step explanation:

Louise: Water = 4.6 + 1.2*t gallons of water

Isaac: Water = 54.6 - 0.8 * t t is in minutes.

When will the two amounts of water be equal

When the two waters are the same.

4.6 + 1.2*t = 54.6 - 0.8t           Add 0.8t to both sides

4.6 + 1.2*t + 0.8*t = 54.6         Combine the left

4.6 + 2t = 54.6                        Subtract 4.6 from both sides.

4.6-4.6 + 2t = 54.6 - 4.6         Combine

2t = 50                                    Divide by 2

t = 50/2

t = 25

Answer: both aquariums will have the same amount of water in 25 min

Answer: C  

Answer:

My reasoning for saying both is because the shape is a unique plane. Bilateral symmetry is the term used for when a unqiue shape is folded in any direction and looks the same, while rotational symmetry is when a shape looks the same after a rotated half-turn.

Trick: Fold the shape by the bottom diagonal left side, folding the top left end, then do a rotational turn on the top right corner, fold in the bottom, and it shapes like a rectangle.

Answer:

A. 0.11111

B. 17/100

C.0.232323

D. 6/9 or 2/3

E. 1.8888889

F. 4/11

G. 1.45454545

H. 3/100

Step-by-step explanation:

Convert them to fractions and decimals

Answer:

Step-by-step explanation:

Use the slope formula.

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Use the distance formula.

[tex]: \Longrightarrow \sf{\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}}[/tex]

[tex]\sf{x_2=8}\\\\\\\sf{x_1=3}\\\\\\\sf{y_2=2}\\\\\\\sf{y_1=2}[/tex]

Rewrite the problem down.

[tex]\sf{\sqrt{\left(8-3\right)^2+\left(2-2\right)^2}}[/tex]

Solve.

Use the order of operations.

PEMDAS stands for:

Solve parentheses, first.

⇒ (8-3)²

⇒ 8-3=5

⇒ 5²+(2-2)²

⇒ (2-2)=0

⇒ 0²

Rewrite the problem down.

⇒ 5²+0²

Do exponents next.

⇒ 5²=5*5=25

⇒ 0²=0*0=0

⇒ 25+0

Add.

⇒ 25+0=25

You can also divide the numbers from left to right.

→ 25/5=5

I hope this helps. Let me know if you have any questions.

Answer:

a = 7, b = 9, c = 4

Step-by-step explanation:

Hope it helps you in your learning process.

[tex]7^{\frac{9}{4}}= \sqrt[4]7^{9}\implies\sqrt[c]a^{b}[/tex]

On comparing, we find:

a = 7, b = 9, c = 4

Answer:

[tex] \sf \: a = 7,\: b = 9,\: c = 4[/tex]

Step-by-step explanation:

[tex] {7}^{\frac{9}{4}} [/tex] we have to write in the form [tex] \sf \: {}^{c} \sqrt{ {a}^{b} } [/tex]

[tex] {a}^{ \frac{1}{b} } = {}^{b} \sqrt{a} [/tex]

[tex] {a}^{b} = {a}^{b}[/tex]

from there we can write.

[tex] {7}^{3 \times \frac{1}{4} } = {}^{4} \sqrt{ {7}^{9} } [/tex]

Comparing with [tex] \sf \: {}^{c} \sqrt{ {a}^{b} } [/tex]

c = 4 , b = 9, a = 7