Find the volume of the
rectangular prism.
2 cm
1
8 cm
5 cm

Multiply the amount owed by 20% by changing the percent to a decimal.

20% = 0.20

200 x 0.20 = 40

The late fee is $40

Step-by-step explanation:

[tex]w = x^4\sin(y^4z^3)[/tex]

The differential [tex]dw[/tex] is

[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]

Answer:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

Step-by-step explanation:

We want to find the linear function given that:

[tex]f^{-1}(2) = -1\text{ and } f^{-1} (-9) = 3[/tex]

Recall that by the definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b\text{ then } f^{-1}(b) = a[/tex]

In other words, f(-1) = 2 and f(3) = -9.

This yields two points: (-1, 2) and (3, -9).

Find the slope of the linear function:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(-9) - (2)}{(3) -(-1)} = -\frac{11}{4}[/tex]

From point-slope form:

[tex]\displaystyle y - (2) = -\frac{11}{4}( x- (-1))[/tex]

Hence:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

We can simplify if desired:

[tex]\displaystyle f(x) = -\frac{11}{4}x -\frac{3}{4}[/tex]

Answer:

Answer is 1/6

Step-by-step explanation:

[tex] {36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ \\ = \frac{1}{ \sqrt{36} } \\ \\ = \frac{1}{6} [/tex]

Hi ;-)

Calculate

[tex]6-(-11)=6+11=\boxed{17}[/tex]

Answer:

17

Step-by-step explanation:

6-(-11)

Subtracting a negative is like adding

6+11

17

Step-by-step explanation:

2t/r=d cross multiply

2t=rd

t=rd/2

Step-by-step explanation:

if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.

And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34

AC=2y-6

therefore

34=2y-6

28=2y and y=14

Answer:

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

f(-1) = 2|-1| + 3(-1)

|-1| = 1

=> f(-1) = 2(1) - 3

=> f(-1) = 2 - 3

=> f(-1) = -1

Answer:-1,4

Step-by-step explanation:

Answer: yes 41 x 10 to the power of 6 is 41000000

your correct.

Step-by-step explanation: Mark me brainliest plz

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.

1:

7/9+6 = 7/15

2:

8+6/3 = 14/3

3:

[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]

Then take that in chunks: 7/14 and 15/3.

7/14 = 1/2

15/3 = 5/1

Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].

1/5 = .2

2/3 ≈ .6667 so we'll keep writing it as 2/3

[tex]\frac{\frac{.2}{2}}{3}[/tex]

.2/2 = .1, so:

[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

correct me if wrong

thanks! :)

You are falling by [tex]32[/tex],

[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]

In general your sequence is defined as,

[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].

The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].

If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].

If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].

The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].

Hope this helps :)

Given Data : Length = (7p - 10q) and Breadth = (2p - 9q)

Calculation :

⟹ Perimeter = 2(Length + Breadth)

⟹ Perimeter = 2(7p - 10q + 2p - 9q)

⟹ Perimeter = 2(9p - 19q)

⟹ Perimeter = 18p - 38q centimetres

The required perimeter of the rectangle is 18p - 38q centimeters.

It is required to find the required perimeter of the rectangle.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

width of a rectangle = (2p - 9q) centimeters,

length measures= (7p - 10q) centimeters.

We know that

⟹ Perimeter = 2(Length + Breadth)

By put the value width and length in perimeter we get,

⟹ Perimeter = 2(7p - 10q + 2p - 9q)

⟹ Perimeter = 2(9p - 19q)

⟹ Perimeter = 18p - 38q centimeters

Therefore, the required perimeter of the rectangle is 18p - 38q centimeters.

Learn more about rectangle here:

brainly.com/question/24437900

#SPJ2

There are 4 elements in the set A* B

The sets are given as:

A={5,8}

B={p,q}

C={r,v}

The expression A * B implies that:

A * B = n(A) * n(B)

Where n( ) implies that the number of elements in......

So, we have

A * B = 2 * 2

This is so because sets A and B have 2 elements each

Evaluate the product

A * B = 4

Hence, there are 4 elements in the set A* B

Read more about sets at

https://brainly.com/question/2166579

#SPJ1

It's likely that curve A is f and curve B is f '.

The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.

Answer:

15) n+19<42

16) 3n-16 (less or equal) 8

17) n/2 > n-6

18) 6n-5<2n

Step-by-step explanation:

Answer:

x>10  or x< -2

Step-by-step explanation:

There are two solutions, one positive and one negative, remembering to flip the inequality for the negative

x-4 >6    or x-4 < -6

Add 4 to each side

x-4+4 > 6+4   or x-4+4 < -6+4

x>10  or x< -2

Bi weekly means you get paid every 2 weeks so you would get two paychecks per month.

Monthly net pay = 489.00 x 2 = $968.00

Multiply monthly by 15%

968 x 0.15 = $146.70

Answer: $146.70

If Your average bi-weekly net pay is $489.00. Your average monthly net pay is:$146.70.

First step

Monthly net pay=$489.00×2

Monthly net pay=$968

Second step

Average monthly net pay:

Average monthly net pay=$968×15%

Average monthly net pay=$146.70

Therefore your average monthly net pay is:$146.70.

Learn more about average monthly net pay here:https://brainly.com/question/25273589

Answer:30

Step-by-step explanation:

9514 1404 393

Answer:

  4n

Step-by-step explanation:

For positive multiple number 'n', the value is 4n.

  a[n] = 4n . . . . . where a[n] is the n-th term of the sequence

Answer:

an = 4n

Step-by-step explanation:

got it right on test

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)

  78x -13 = 70x +35 . . . . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . . . . . . . divide by 8

Answer:

Step-by-step explanation:

k-2

Answer:

k-2

Step-by-step explanation:

-(2-k) - Expand the brackets

-2+k - Reorder the equation

k-2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

88°

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Setting Up An Equation...}}\\\\a + 92 = 180\\----------\\ a - \text{Unknown angle measure.}\\----------\\\rightarrow a + 92 - 92 = 180 - 92\\\\\rightarrow \boxed{ a = 88}[/tex]

⸻⸻⸻⸻

The unknown angle measurement should be 88°.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.

Step-by-step explanation:

d=2r.

50=2r

r=50/2

r=25cm.

circumference of circle =2πr

=2×22/7×25

=157cm(approx)

area of circle=πr²

=22/7×(25)²

=704cm

Answer:

It is 9.0039

Step-by-step explanation:

9 » ones

.0 » tenths

0 » hundredths

3 » thousandths

[tex]{ \boxed{ \bf{9} \: » \: ten - thousandths}}[/tex]

1 » hundred thousandths

Answer:

9.0039

Step-by-step explanation:

Answer:

(15x -5y + 10)

Step-by-step explanation:

After you combine like terms and factor the expression that's what you get :)

Answer:

Jaya is 13 years old.

Step-by-step explanation:

Let's assume Jaya's age to be x years old.

Jaya's mothers age is (3*x)+5.

3x+5=44

3x=39

x=13.