If prices increase 3% each year for 10 years, then a jacket that costs $70 today will cost $94.07 in 10 years. What is the percentage decrease in the buying power of currency over the 10-year period? (Round your answer to one decimal place.)

Answer:

40 cubic units

Step-by-step explanation:

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

[tex]sin^4(x) + cos^4(x)[/tex]

We can rewrite this as:

[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]

Now we can add and subtract cos^2(x)*sin^2(x) to get:

[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]

We can complete squares to get:

[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]

and we know that:

cos^2(x) + sin^2(x) = 1

then:

[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

[tex]1 - \frac{sin^2(2*x)}{2}[/tex]

Then the simplification is:

[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]

Answer:

This continental is known as-

D) Pangaea

Answer:

choice D ) Pangaea

Answer:

1.875 commercials a minute

Step-by-step explanation:

Answer:

25ft

Step-by-step explanation:

You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:

30/6=5

Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:

5 x 5=25

I hope this helped you!

Answer:

Number of total arrangement of beads = 2,520

Step-by-step explanation:

Given:

Number of beads in necklace = 8 beads

Find:

Number of total arrangement of beads

Computation:

Changing beads is a cyclic permutation,

So,

Formula to find number of total arrangement in cyclic permutation

(n-1)!/2 , where n = number of item

So,

(n-1)!/2

Number of total arrangement of beads = (8-1)!/2

Number of total arrangement of beads = (7)!/2

Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2

Number of total arrangement of beads = 5,040 / 2

Number of total arrangement of beads = 2,520

Answer:

She used 3.

Step-by-step explanation:

You have 2 bags.

You have another bag.

You use all of them.

How many did you use altogether?

3.

Tricia used 2.5 bags of sugar altogether.

In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that represents a mathematical quantity or relationship. It can be as simple as a single number or variable, or it can be more complex, involving multiple terms and operations.

Tricia used 2 bags of sugar to make cupcakes and used 1/2 of another bag of sugar to make macaroons.

Therefore, the total amount of sugar she used is:

2 + 1/2 = 2.5 bags of sugar.

So, The number of bags Tricia used was 2.5 bags of sugar altogether.

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C

Step-by-step explanation:

I got 4 lines of symmetry going horizontal and vertical, and two diagonal

Answer:

D

Step-by-step explanation:

V_C_C

for the vowel = 2/5

for the consonant = 3/5

for next three picks it should be 2/5 * 3/5 *3/5 = 0.144

Answer:

D

Step-by-step explanation:

Vowel is 2/5 or 40%

Consonant is 3/5 or 60%

VCC is .4 x .6 x .6 = .144

Answer:

r = 3.42

Step-by-step explanation:

the equation for volume is V = pi r^2 h

550 = 3.14 r^2 15

36 2/3 = 3.14 r ^2

11.6772824 = r^2

3.41720389 = r

r = 3.42

Answer:

3.42

Step-by-step explanation:

Answer:

8 tablets

Step-by-step explanation:

t = # tablets she must sell

348 = 33t + 84

264 = 33t

t = 8

The sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.

To determine the minimum number of tablets the sales associate needs to sell in order to make at least $348 in one day, we can set up an inequality based on the given information.

Let's denote the number of tablets sold as "x."

Given:

Earnings per day (base pay) = $84

Commission per tablet sold = $33

Desired earnings for the day = $348

The total earnings for the day can be calculated as follows:

Total earnings = Base pay + (Commission per tablet * Number of tablets sold)

Total earnings ≥ Desired earnings

Setting up the inequality:

$84 + ($33 * x) ≥ $348

Simplifying the inequality:

$84 + $33x ≥ $348

Now, let's solve for x:

$33x ≥ $348 - $84

$33x ≥ $264

Dividing both sides of the inequality by $33 (the coefficient of x):

x ≥ $264 / $33

x ≥ 8

Therefore, the sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.

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Answer:

Perimeter = 133.681 cm

or 52.63 inches.

Step-by-step explanation:

"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."

let's use,  πr + 2r

Diameter: 52

Radius: 26 (RAdius is half of the diameter)

πr + 2r (plug in)

pi x 26 + 2(26)

pi x 26 + 52

= 133.681 cm

or

= 52.63

Answer:

Plot these points

(-3,0)

(-5,0)

(-4,1)

(-2,-3)

(-6,-3)

Step-by-step explanation:

Let find the zeros of the equation.

We can factor this equation.

Factor out the -1.

[tex] - 1( {x}^{2} + 8x + 15)[/tex]

Factor using AC method

[tex] - 1(x + 3)(x + 5)[/tex]

Set all the terms equal to zero.

[tex]x + 3 = 0[/tex]

[tex]x + 5 = 0[/tex]

[tex]x = - 3[/tex]

[tex]x = - 5[/tex]

So our x intercepts are -3,0 and -5,0.

To find our vertex, apply the -b/2a.

[tex] \frac{8}{ - 2} = - 4[/tex]

Then

Substitute-4 for x.

[tex]y = - {4}^{2} - 8( - 4) - 15 = 1[/tex]

So our vertex is at (-4,1).

Find some other points like -2 and -6.

To find -2, substitute-2 into the quadratic.

[tex]y = - ( { - 2}^{2}) - 8( - 2) - 15 = - 3[/tex]

So -2,-3.

Since y=-4 is the axis of symmetry

-6,-3

The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is

( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = −x² − 8x − 15

On simplifying the equation , we get

y = -1 ( x² + 8x + 15 )

On factorizing the equation , we get

y = -1 ( ( x + 5 ) ( x + 3 )

So , the 2 values for x is -5 , -3

So , the two points are ( -5 , 0 ) and ( -3 , 0 )

The vertex will be -b/2a

Substituting the values in the equation , we get

The vertex = -8/2 = -4

So , when x = -4

y =  -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 1 x -1 )

y = 1

So , the vertex is at the point ( 4 , 1 )

Now , when x = -1

y = -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 4 x 2 )

y = -8

So , the point is ( -1 , -8 )

Now , when x = -2

y = -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 3 x 1 )

y = -3

So , the point is ( -2 , -3 )

Hence ,

The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is

( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )

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Answer:

Franks fish weighs .42 lbs

Step-by-step explanation:

.7 * .6 = .42

Answer:

1/3

Step-by-step explanation:

6=18x

for x

x=6/18

x=1/3

Answer:

Step-by-step explanation:

The correct rule for y in terms of x is

y = 3x - 4

we can check even

here when x = 1

y = 3 * 1 - 4 = - 1

similarly

when x = 2

y = 3 * 2 - 4 = 2

and so on you can check.

hope it helps :)

Answer:

the rule is y=3x-4

Step-by-step explanation:

m=y2-y1/x2-x1

m=2--1/2-1

m= 3/1

m=3

general equation of a line,

y=mx+c

if y=3x+c

if x=1 y=-1

-1=3+c

-4=c

therefore y=3x-4

Answer:

134.6

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.

The level is L = 134.6

The Central Limit Theorem estabilishes that, for a random variable X, with mean  and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation

Answer:

here ∆ABDcongruent to ∆CBD

AB=BC

now

AC=AB+BC=6+6=12units

length of AC=12 units

Answer:

triangular prism

Step-by-step explanation:

Answer:

9x² + 6x -19

Step-by-step explanation:

= 33x³ + 6x - 9 - 33x³ + 9x² -10

= 33x³ - 33x³ + 9x² + 6x -10 -9

= 9x² + 6x -19

Answer: Where's the picture of the angle?

Step-by-step explanation:??

Answer:

C)

Step-by-step explanation:

3[tex]\sqrt{80}[/tex] = 3 · [tex]\sqrt{4}[/tex]· [tex]\sqrt{4}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to 12[tex]\sqrt{5}[/tex]

Answer:

From the table, Riley is moving forward on the interval [0,1.5].

I takes Riley 6 seconds to swing forward, back, and then return to her starting position.

Riley reaches a maximum distance of 38.9 inches from her starting position.

Step-by-step explanation:

PLATO/Edmentum

The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.

Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.

Now as per the table, the statements can be completed as,

Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

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Answer:

Step-by-step explanation:

The route makes a right triangle with legs 3 mi and 4 mi, and the hypotenuse of x mi.

Use Pythagorean to find the distance:

Vector Review Practice Answers:

1. B - initial (14,-5); terminal (0,0)

2. A - sqrt(22^2 + 4^2)

3. B - <4,12>

4. D - Yes, the two vectors have the same magnitude and direction.

5. D - Vectors u and v are neither because the angle between the two vectors is not equal to 0 degrees, 90 degrees, or 180 degrees

6. C - approximately 4 mi. at a direction angle of 56 degrees northeast

7. A - approximately 174 mph at a direction angle of 58 degrees northeast

8. A - -200

9. D - W = 59 ft*lbs

10. C - u = 4/5i - 3/5j

Answer: B. 280

Step-by-step explanation:

ur welcome

Answer:

B) 280

Step-by-step explanation:

Answer:

21/8 or 2 3/8

Step-by-step explanation:

33/8 - 3/2

33/8 - 12/8=21/8

hope it helps:)

9514 1404 393

Answer:

  (b)  1.4"

Step-by-step explanation:

A 2.8" circle is one that has a diameter of 2.8". The divider will be set to the radius, which is half the diameter.

The divider is set to 1.4".

Answer:

Scientific notation is a way of writing very large and very small numbers.

A number in scientific notation has the form  

N

×

10

a

, where  

N

is a number between 1 and 10, and  

a

is a positive or negative integer.

To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (

N

) and then record the exponent (

a

) as the number of places the decimal point was moved.

If you move the decimal to the right, the exponent is negative.

Express  

0.000 000 03 g

in scientific notation.

Step 1. Move the decimal place to the right to create a new number between 1 and 10.

This gives  

N

=

3

.

Step 2. Count the number of times you moved the decimal.

You moved the decimal 8 places to the right.

That means the exponent  

a

=

-8

.

Step 3. Write the number in scientific notation.

0.000 000 03 g

=

3

×

10

-8

l

g

Step-by-step explanation: