Can someone do number 4 please. and show the work if you can

[tex]( {x}^{6} )( {x}^{2} ) = x^{8} [/tex]

I hope I helped you^_^

A piecewise function is consists of different relationships between the variables over different intervals

The correct piecewise equation that models her total weekly pay is option B.

[tex]\mathbf{B.} \ y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]

The given parameters are;

The amount made by the webmaster for the first 38 hours she works = $24

The amount she makes for each hour worked after the first 38 hours = $31 an hour

Required:

To find the piecewise equation that models the total weekly pay, y, in dollars in relation to the number of hours x that she has worked during the week

Solution:

If she works for x ≤ 38 hours

The amount she makes working x less than or equal to 38 hours, y = $24/hour × x hours = $24 × x hours

The total amount the webmaster wakes by working all through the normal 38 hours is $24/hour × 38 hours = $912

If she works over 38 hours, (x > 38) we have;

The number of hours she works over 38 hours = x - 38

The amount she makes each hour after working 38 hours, y = $31/hour × (x - 38) hours

The total amount she makes y working for more than 38 hours is given as follows;

y = 31·(x - 38) + 912

The piecewise equation that models her weekly pay is therefore, presented as follow;

[tex]y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]

The above piecewise function is the same as option B

Learn more about piecewise function here:

https://brainly.com/question/11514494

Step-by-step explanation:

Recall that

[tex]\cos{2\theta} = 1 -2\sin^2\theta[/tex]

so we can write our original equation as

[tex]3 - 6\sin^2{\theta} + \sin{\theta} = 1[/tex] or

[tex]6\sin^2{\theta} - \sin{\theta} - 2 =0[/tex]

Let [tex]x = \sin{\theta}[/tex] so our equation becomes

[tex]6x^2 - x - 2= 0[/tex]

which gives us two roots: [tex]x = -\frac{1}{2}[/tex] and [tex]x = \frac{2}{3}[/tex].

This is equivalent to [tex]\theta = 150°[/tex] and [tex]\theta = 41.8°[/tex]

Answer:

It is -4/7

Step-by-step explanation:

[tex] \frac{168}{ - 294} \\ \\ = - \frac{4}{7} [/tex]

Answer:

168/-294 × 5/5 = 840/1470

= - 840/ 1470

= 1470

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex](\frac{a}{b^{3} } )^{4}[/tex]

[tex]a^{4}[/tex]/([tex]b^{3}[/tex][tex])^{4}[/tex]

[tex]a^{4}[/tex]/[tex]b^{12}[/tex]

Answer:

12

Step-by-step explanation:

hi vọng điêu nay co ich

Answer:

The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.

Answer:

f(1) = 0

f(2) = 4

f(3) = 8

Step-by-step explanation:

Substitute the values for the variable x.

[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]

When x= 1

y = 4(1) - 4

y = 0

when x = 2

y = 4(2) - 4

y = 4

when x = 3

y = 4(3) - 4

y = 8

Answer:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]

Substitute in known values:

[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]

And subtract. Hence:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

In conclusion, ∠ABC measures 34°.

The equation of the perimeter will be 5x + 1 = 26. Then the correct option is D.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

Let ABCD is the isosceles trapezoid.

The small base (BC) of an isosceles trapezoid is x centimeters long.

The large base (AD) of the trapezoid is 3 centimeters shorter than twice the length of the small base will be

AD = 2x - 3

And each of the two remaining sides of the trapezoid is 2 centimeters longer than the small base will be

AB = CD = x + 2

Then the perimeter is the sum of all sides.

If the perimeter of the trapezoid is 26 centimeters.

Then the equation of the perimeter will be

AB + BC + CD + DA = 26

x + 2 + x + x + 2 + 2x - 3 = 26

5x + 1 = 26

Then the correct option is D.

More about the trapezoid link is given below.

https://brainly.com/question/22607187

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Answer:

32.8

Step-by-step explanation:

well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the measure of the first angle. Then the second is x+7, and the third is 10x-7.

The sum of the three angles of the triangle is 180°, so we have ...

  x +(x +7) +(10x -7) = 180

  12x = 180 . . . . . . . . . . . . . . . collect terms

  x = 15 . . . . . . . . . divide by 12 (first angle)

  x +7 = 22 . . . . . .second angle

  10x -7 = 150 -7 = 143 . . . . . third angle

The three angles are 15°, 22°, and 143°.

Answer:

CGAUUU

Step-by-step explanation:

GCU is alanine which translate to CGA

AAA is lysine, and translate to UUU

Answer: BX = 7  

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

Explanation:

For any rectangle, the diagonals are the same length and they cut each other in half (aka bisect each other).

This means diagonal BD = AC = 14 and BX = BD/2 = 14/2 = 7. The value of AB is never used.

Answer:

7

Step-by-step explanation:

[tex]\\ \rm\longmapsto 3:4[/tex]

[tex]\\ \rm\longmapsto \dfrac{3}{4}[/tex]

Note.

The first term of the ratio is called consequent.

Answer:

Loading...

Step-by-step explanation:

Answer:

60 units²

Step-by-step explanation:

A = ½bh

Let the horizontal line AC be the base which has a length of 10 along the line y = 7

The vertical distance between this line and point B is 7 - (-5) = 12

A = ½(10)(12)

Answer:

2

Step-by-step explanation:

We know that the opposite sides of a parallelogram are equal so:

25x+1=7x+37

18x=36

x=2

Percentage = ( number used / total number) x 100

32/90 = 0.3555

0.3555 x 100 = 35.56%

Rounded to nearest tenth = 35.6%

Mary Anne is using about 35.6% of her quilt squares stock.

A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Percentage  = (Value/Total value) × 100.

According to the given question.

Total number of quilt squares Mary Anne have = 90

Number of quilt squares Mary Anne is using = 32

Therefore,

The percent of her quilt square she is using

= [tex]\frac{32}{90} \times 100[/tex]

[tex]= 0.3555\times 100[/tex]

[tex]= 35.6[/tex] %

Hence, Mary Anne is using about 35.6% of her quilt squares stock.

Find put more information about percent here:

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Answer:

41.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos x = 9/12

Taking the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1 (9/12)

x = 41.41

To the nearest tenth

x = 41.4

Answer:

D

Step-by-step explanation:

Point B is (-2,3) then it is shifted (x, y+4)

so, x remains the same by y goes up 4 units

-2,7

9514 1404 393

Answer:

Step-by-step explanation:

"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...

Fixed

"Variable" expenses are ones that change depending on circumstances. Those would include ...

Variable

Answer:  13½

Step-by-step explanation:

Answer:

The answer will befour times

Answer:

Point C is in the interior of angle ABD.

Answer:

26.8°

Step-by-step explanation:

4x - 20 + 6x - 7 = 90

10x -27 =90

10x = 90+27

10x= 117

x = 11.7

so, the angle R = 4x-20 =4(11.7)-20

= 46.8-20 = 26.8°

Here we want to see which type of set is a band's setlist.

We will see that it is a discrete set.

We can define two types of sets

Continue sets are those, like the name implies, continuous (or dense). Examples can be the set of real numbers.

Discrete sets are those that have "gaps" between consecutive elements. For example, the integer set is a discrete set. Particularly, discrete sets can be quantized (counted).

Now, we have a list of songs, that can be written as:

L  = {song 1, song 2, song 3, ...}

Here we can see that we have separated elements. Thus, this is a discrete set. This happens because we clearly can separate the element "song 1" from "song 2" (there may be a lapse of time between them, defining the end of the first one), so we have the "gaps" mentioned above.

If you want to learn more, you can read:

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Answer:

17 hours

Step-by-step explanation:

Add up the total amount earned

168+112+196 = 476

Divide by the amount earned per hour

476/28 = 17

17 hours worked over the 3 days

Answer:

pls ur question is not clear is there a space between 11 and 2

Answer:

It is 29x - 19y

Step-by-step explanation:

[tex]5(x - 7y) + 8(3x + 2y)[/tex]

open brackets:

[tex] = 5x - 35y + 24x + 16y[/tex]

group like terms together:

[tex] = (5x + 24x) + (16y - 35y)[/tex]

factorise out x and y :

[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]