Tom has a gift box that is 3 units long, 6 units wide, and 12 units tall. What is the volume of the gift?

Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x

The formula for finding the derivative of a function is expressed as:

f'(x) = nax^n-1

Given the function expressed as:

f(x) = 4x^2

We are to find its derivative as shown:

f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x

Hence the derivative of the function f(x) = 4x^2 is 8x

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Answer:

120 degrees

Step-by-step explanation:

30 * 4 = 120

Answer:

Step-by-step explanation:

30 + 30 + 30 + 30 = 30 x 4 = 120 degrees

Answer:

y = 40, x = 9

Step-by-step explanation:

2(3y)+2(2y-20)=360

y = 40

2x=18

x = 9

Answer:

<1= 68 degree

<2= 112 degree

<3= 68 degree

<4= 112 degree

<5= 68 degree

<6= 112 degree

<7= 68 degree

<8= 112 degree

Step-by-step explanation:

steps in the image-

Answer:

65

Step-by-step explanation:

t = 10

e = 11

10 + (11*5)

65

27

using bodmas rule:

[tex]\sf b - bracket, o - order, d - division, m - multiplication, a - addtion, s - subtraction[/tex]

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

Solve:

11 x 12 - 7 x 15        (carry out multiplication first)

132 - 105                (subtract)

27                           (final answer)

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{11}{12}-\dfrac{7}{15}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11(5)-7(4)}{60}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{55-28}{60}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{27}{60}[/tex]

Step-by-step explanation:

1 log 5² - 2 log 2⁵ - 2log3 + log 18 10

= 2log 5 - 10log2 - 2log3 + log 18 10

Answer:

The answer is B.

[tex]t=+\sqrt{\frac{d-3}{a} } , -\sqrt{\frac{d-3}{a}[/tex]

Step-by-step explanation:

[tex]d=3+at^2\\\\d-3=at^2\\\\\frac{d-3}{a}=t^2\\\\ t=+\sqrt{\frac{d-3}{a} } , -\sqrt{\frac{d-3}{a} }[/tex]

Answer:

5/2 or 2 1/2 hours

Step-by-step explanation:

Multiply 5/8 by 4, which is 20/8, then you simply from there so 5/2=2 1/2

Step-by-step explanation:

z = 0 -7i ....................

Answer:

20 burgers

Step-by-step explanation:

4/6×30 = 2/3 ×30 = 60/3 = 20

Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.

First find the biweekly income:

= 51,350 / (52 weeks / 2 )

= 51,350 / 21 weeks

= $2,445.24

5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:

= (5% + 4%) x 2,445.24

= $220

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Answer:

y = 9x

Step-by-step explanation:

We can make the x-values represent how many hours Jessica babysat, and the y-values represent how much money she earned each day.

We have these points:

The days of the week she worked do not matter in this problem. We are just trying to find the association between hours worked and money earned.

We can start by finding the slope of the line by using two of the points. I will be using (3, 27) and (6, 54).

The slope formula is [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex].

Substitute these two points into the formula:

The slope of the line is m = 9.

Now, we can use the point-slope equation to find the equation of the line that represents Jessica's earnings.

Point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].

Substitute the slope m = 9 and the point (3, 27) into the equation.

The equation y = 9x  represents Jessica's earnings, where x represents hours and y represents earnings.

Answer:

57064

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Multiply left to right, so you start with -1/6*4/7=-2/21

Then you apply the fraction rule so -1/6*4

and 4 can be expressed by 4/1 so -1/6*4/1=-2/3

Then after solving you will get -4/6

then you factor 4=2*2 what will be -2*2/6

Then you cancel the common factors what are 2

so you bring back the 7 so -2/3/7 and 7 can be expressed as 7/1 and then you apply the fraction rule and flip it to 1/7 what will be solved as -2/21

so then it will be -2/21+1/2-1/14-3/7*1/6

Then you will have to solve -3/7*1/6 what is 1/14

so -2/21+1/2-1/14=1/3 final equation

Answer:

Step-by-step explanation:

Answer:

Series Circuit

Step-by-step explanation:

In a series circuit, the total resistance is equal to the sum of all resistances.  Hope this helps u out!

Answer:

540 cubic inches.

Step-by-step explanation:

Answer:

46.8 cm

Step-by-step explanation:

A hexagon has six sides. If it is a regular hexagon, then it is equilateral, meaning that each side is the same length. If one side is 7.8cm, then all sides will be 7.8cm. You can find the perimeter by adding 7.8 six times, or multiplying 7.8 by six.

7.8 · 6 = 46.8

hope this helps!

Answer:

a

Step-by-step explanation:

pounds because all will measure with it only even shop keepers........................................

The amount of money Ben had to begin with after spending 1/6 and 1/2 of it is 57 dollars.

let

x = amount he had to begin with

He  spent 1/6 of his money on a burger, fries, and a drink. Therefore,

amount spent on burger, fries, and a drink = 1  / 6 x

Hence,

amount he had left = x - 1 / 6 x =6x - x /6 = 5 / 6 x

Then he spent half of the money he had left.

1  / 2(5  /6 x) = 5 + 8.25 + 10.50

5 / 12 x = 23.75

cross multiply

5x = 23.75 × 12

5x = 285

divide both sides by 5

x = 285 / 5

x = 57

Therefore, the amount of money he have to begin with is $57.

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Answer:

$57

Step-by-step explanation:

10.50 - 7.50 = 3

3 x 19 =57

$57

Answer:

0.5n

Step-by-step explanation:

n/2 is equal to n * 1/2. 1/2 is equal to 0.5, so n * 1/2 = n * 0.5 = 0.5n.

Answer:

Step-by-step explanation:

Answer:

Hi there!

As we know that the sum of all three angles of a triangle is 180°.

If ∆ABC is right angled at C

C = 90°

=> [tex]\:\mathsf\red{∠A\: +\:∠B\: +\: ∠C\:=\:180°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: +\: 90°\:=\:180°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: =\:180°\:-\:90°}[/tex]

=> [tex]\:\sf{∠A\: +\:∠B\: =\:90°}[/tex]

Multiplying cos both sides. We get,

=> [tex]\:\sf{cos\:(∠A\: +\:∠B)\: =\:cos\:90°}[/tex]

We know cos 90° = 0, by trigonometric ratio.

=> [tex]\:\sf{cos\:90°\:=\:0}[/tex]

So,

[tex]\:\mathsf{cos(∠A\: +\:∠B)=\:cos\:90°\:=\:0}[/tex]

=> [tex]\:\sf\purple{cos\:(∠A\:+\:∠B)\:=\:0}[/tex]

[tex]\:\mathsf\blue{Hope\:this\:helps\:you!\:}[/tex]

Answer: 1 1/20

Step-by-step explanation:

1/2 / 5/8 + 1/4

=8/10 +1/4

=21/20

=1 1/20

Answer:

13 inches

Step-by-step explanation:

Answer:

The base must be 13 inches

Step-by-step explanation:

Step 1:  Determine the length of the base

[tex]A = 1/2 * b * h[/tex]

[tex]117\ in^2 = 1/2 * b * 18\ in[/tex]

[tex]117\ in^2 = 9\ in * b[/tex]

[tex]\frac{117\ in^2}{9\ in} = \frac{9\ in * b}{9\ in}[/tex]

[tex]13\ in = b[/tex]

Answer:  The base must be 13 inches

Answer:

y = 4x + 5

Step-by-step explanation:

Use point-slope formula to plug in the known point and slope.