A 40 amp fuse carries a temporary 9 % current overload. How many
amps of current flow through the fuse during the overload?

Step-by-step explanation:

length of the box is a = 25 -2x

width of the box is b =13 -2x

height of the box is x

and x < 6,5

so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x

f'(x) = 12x^2 - 152x + 325

to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94

so x = 2,72 inches

Answer:

length of the box is a = 25 -2x

width of the box is b =13 -2x

height of the box is x

and x < 6,5

so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x

f'(x) = 12x^2 - 152x + 325

to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94

so x = 2,72 inches

Step-by-step explanation:

Answer:

-19.43

Step-by-step explanation:

Withdrawals are negative

Answer:

Let's use Pythagorean Theorem which states:

6² + 10² = x²

36 + 100 = x²

136 = x²

x = ± 2√34

Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.

Answer:Answer:

Let's use Pythagorean Theorem which states:

6² + 10² = x²

36 + 100 = x²

136 = x²

x = ± 2√34

Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.

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Step-by-step explanation:

Answer:

The length of the missing segment is 36

Step-by-step explanation:

Given

The figure above

Required

Determine the missing segment

Let the missing segment be represented with x

Given that, there exist parallel lines between the two triangles;

The relationship between the sides of the triangles is as follows;

[tex]\frac{20}{24} = \frac{30+20}{24+x}[/tex]

[tex]\frac{20}{24} = \frac{50}{24+x}[/tex]

Cross Multiply

[tex]20 * (24 + x) = 24 * 50[/tex]

[tex]20 * (24 + x) = 1200[/tex]

Divide both sides by 20

[tex]\frac{20 * (24 + x)}{20} = \frac{1200}{20}[/tex]

[tex](24 + x)= \frac{1200}{20}[/tex]

[tex]24 + x= 60[/tex]

Subtract 24 from both sides

[tex]24 - 24 + x = 60 - 24[/tex]

[tex]x = 60 - 24[/tex]

[tex]x = 36[/tex]

Hence, the length of the missing segment is 36

Answer:

[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]

Step-by-step explanation:

Step(i):-

Given y = cos² (x² + x³)  ....(i)

By using differentiation formulas

a)    [tex]\frac{d}{dx} (cosx) = -sinx[/tex]

b)    [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]

Step(ii):-

    Differentiating equation (i) with respective to 'x'

First apply formula  [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]

      [tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} )^{2-1} \frac{d}{d x} (cos(x^{2} +x^{3})[/tex]      

Now we will apply formula

     [tex]\frac{d}{dx} (cosx) = -sinx[/tex]

     [tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3})\frac{d}{dx} (x^{2} +x^{3} )[/tex]

Again apply formula  [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]

    [tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]

  [tex]\frac{d y}{d x} = -2 sin (x^{2} +x^{3} ) cos(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]

we know that trigonometric formulas

Sin 2θ  = 2 sinθ cosθ

[tex]\frac{d y}{d x} = -sin2(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]

Final answer:-

[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]

Answer:

1

Step-by-step explanation:

You only need two points to find the slope.

Let's use (1,7) and (2,8).

The formula for slope is (y2-y1)/(x2-x1)

Let's plug the values in:

(8-7)/(2-1) = 1.

So, the slope is 1.

Answer:

Step-by-step explanation:

let width=x

length=3x

area=3x×x=3x²

3x²=192

x²=192/3=64

x=√64=8

width=8 m

length=3×8=24 m

Answer:

Solution,

Let the length be 3x meter.

Let the width be X meter

Area of rectangle= 192 square metres

Now,

Area of rectangles= length * breath

[tex]192 = 3x \times x \\ 192 = 3 {x}^{2} \\ {x}^{2} = \frac{192}{3} \\ x^{2} = 64 \\ x = \sqrt{64} \\ x = 8 \: meter[/tex]

Replacing value,

[tex] \: \: \: 3 \times x \\ \: \: = 3 \times 8 \\ \: \: \: \: = 24[/tex]

Hope this helps...

Good luck on your assignment...

% error formula: | true value minus "your" (as in Keiko's) value | over true value, times 100.

so: 42 - 45 = 3 (it would be negative but we used absolute value, which is how it is supposed to be done. 3 is your absolute error).

3/42 = 0.07143

0.07142 * 100 = 7.142%. she was only 7.142% off from the right answer.

Answer:

To answer the question above,

If you entered your test scores correctly, then your choices are off the wall.  

The median is 87  

The mode is 89  

The mean is 85.833...  

There is not a mode of 91 !  

I hope this helps

Step-by-step explanation:

Answer:

The volume of the cone is 1006.9in³

Step-by-step explanation:

Given

[tex]Height = 18.8\ in[/tex]

[tex]Diameter = 14.3\ in[/tex]

Required

Calculate the volume;

The volume of a cone is calculated as thus;

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Where V represents volume; r represents radius; and h represents height

The radius is calculated as thus;

[tex]r = \frac{1}{2}Diameter[/tex]

[tex]r = \frac{1}{2} * 14.3[/tex]

[tex]r = 7.15[/tex]

Substitute [tex]r = 7.15[/tex]; [tex]h = 18.8[/tex] and [tex]\pi = \frac{22}{7}[/tex]

[tex]V = \frac{1}{3} \pi r^2h[/tex] becomes

[tex]V = \frac{1}{3} * \frac{22}{7} * 7.15^2 * 18.8[/tex]

[tex]V = \frac{1}{3} * \frac{22}{7} * 51.1225 * 18.8[/tex]

[tex]V = \frac{22* 51.1225 * 18.8}{3 * 7}[/tex]

[tex]V = \frac{21144.266}{21}[/tex]

[tex]V = 1006.86980952[/tex]

[tex]V = 1006.9\ in^3[/tex] (Approximated)

Hence, the approximated volume of the cone is 1006.9in³

Answer:1006.5

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

q = 84

▹ Step-by-Step Explanation

6(q - 76) = 48

q - 76 = 8

q = 8 + 76

q = 84

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Your answer to this equation is 84. q = 84

Step-by-step explanation:

6(q - 76) = 48

First, take q and subtract it:

q - 76 = 8

Next, do this:

q = 8 + 76

Therefore, q = 84

Answer:

134 will be heads.

Step-by-step explanation:

200÷3 = 66.66

Round that of to the nearest whole number = 67

67 x 2 = 134

Answer:

75

Step-by-step explanation:

i took the semester exam

Answer:

I need help though cause I had this for homework right now

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it right on edge

Answer:

A.

Step-by-step explanation:

Did the unit test in edge and got 100

Answer:

1500*0.74 = (1,110 euros)

Step-by-step explanation:

1.  Use the equation, 1500*0.74.

2.  Multiply 1500 and 0.74 to find out how many euros can be converted with 1500 US dollars.

3. Once you multiply them together, the final answer is 1,110 euros.

Answer:

4).  (x + 2)^2 + (y - 1)^2 = 25.

Step-by-step explanation:

x^2 + y^2 + 4x - 2y - 20 = 0

x^2 + 4x + y^2 - 2y = 20

Completing the square on the x and y terms:

(x + 2)^2  - 4 + (y - 1)^2 - 1 = 20

(x + 2)^2 + (y - 1)^2 = 20 + 4 + 1

(x + 2)^2 + (y - 1)^2 = 25.

The standard equation of the circle with the given equation is (x+2)²+(y-1)²=25. Therefore, option 4 is the correct answer.

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

The given circle equation is x²+ y²+4x-2y-20=0.

Here, x²+ y²+4x-2y=20

By completing the square on the x and y terms:

Now, add 4 on both the sides of an equation, we get

x²+ y²+4x-2y+4=20+4

x²+4x+4+y²-2y=24

Add 1 on both the sides of an equation, we get

(x+2)²+y²-2y+1=24+1

(x+2)²+(y-1)²=25

The standard equation of the circle with the given equation is (x+2)²+(y-1)²=25. Therefore, option 4 is the correct answer.

To learn more about an equation of a circle visit:

https://brainly.com/question/23799314.

#SPJ2

Answer:

It's the first option.

Step-by-step explanation:

The line which rises to the right has a slope of 1 and a y-intercept of -6.

It's equation is y = x - 6.

The one which rises to the left has slope -1 and y-intercept -2.

It's equation is y = -x - 2  or x + y = -2.

The solution is at the point where the 2 lines cross - that is (2, -4).

Answer:

9 hours

Step-by-step explanation:

First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.

Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.

Answer:

9 hours

360/80 = 4.5 x 2 = 9

Answer.

Step-by-step explanation:

Step-by-step explanation:

S+24/7 = -2

7×{S +24/7} = -2×7

S+24 = -14

S+24-24 = -14-24

S = -38

Answer:

The answer should be 20.

Step-by-step explanation:

First, you need to understand the abbreviated list: PEMDAS. I'm not sure if you guys learned this or not, but it helps to know when solving problems like this.

So, if you don't know: PEMDAS is a list of what order you would need to start with when solving a problem. The order is Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

With that in mind, we'll start by looking at the numbers in the numerator of this fraction. (Doesn't matter if you start with the numerator or denominator first.)

You want to start with the numbers in the parentheses as that is the first letter in the PEMDAS phrase.

[tex](7-6.35) = 0.65[/tex]

Now, we have division and an addition sign next. According to PEMDAS, you want to start with Division before you Add. So, you will end up having a 10 in the numerator. (I'm assuming you can use a calculator for this, so I'm not showing how to divide the decimals.)

[tex]\frac{(0.65)}{6.5}+9.9=0.1+9.9 =10[/tex]

Save that number somewhere for now since we will have to come back to it later. For the denominator, we have a set of parentheses that the problem wants us to focus on so, ignore the [tex]7\frac{1}{24}[/tex] for now.

Start with the first set of numbers that have the division sign in between.

[tex]\frac{1.2}{36} =0.03333[/tex]

Don't add just yet after getting this number. You want to divide the 1.2 and [tex]\frac{1}{4}[/tex] since Division needs to be done first before Adding or Subtracting.

[tex]\frac{1.2}{\frac{1}{4} }=4.8[/tex]

The resulting numbers in the parentheses should look like this now (we're still ignoring the [tex]7\frac{1}{24}[/tex] at the end after the parentheses):

[tex](0.03333+4.8-1\frac{5}{16})=3.520833333[/tex]

This expression is also the same as this if you wanted to change the fraction at the end of the parentheses:

[tex](0.03333+4.8-\frac{21}{16})=3.520833333[/tex]

Now you can finally take this number and divide it by [tex]7\frac{1}{24}[/tex] or [tex]\frac{169}{24}[/tex].

[tex]\frac{3.520833333}{\frac{169}{24} }=0.5[/tex]

These are really big numbers when you are dividing so hopefully you don't have to solve this all out in your head or by paper. Now, remember that 10 we got from the numerator earlier? We can finally use that here where we have that as our numerator and 0.5 as our denominator.

[tex]\frac{10}{0.5} =20[/tex]

This gives you the final answer of 20.

Answer:

Simplifying

41 = 12d + -7

Reorder the terms:

41 = -7 + 12d

Solving

41 = -7 + 12d

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-12d' to each side of the equation.

41 + -12d = -7 + 12d + -12d

Combine like terms: 12d + -12d = 0

41 + -12d = -7 + 0

41 + -12d = -7

Add '-41' to each side of the equation.

41 + -41 + -12d = -7 + -41

Combine like terms: 41 + -41 = 0

0 + -12d = -7 + -41

-12d = -7 + -41

Combine like terms: -7 + -41 = -48

-12d = -48

Divide each side by '-12'.

d = 4

Simplifying

d = 4

Answer:

C. log2 3/2.

Step-by-step explanation:

When you are adding two logs with the same base, you multiply.

So, log2 6 + log2 2 = log2 6 * 2 = log2 12

When you subtract two logs with the same base, you divide.

So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2

The answer is C. log2 3/2.

Hope this helps!!

Answer:

15

Step-by-step explanation:

Try 1, 2, 3, or 4 blue pencils. Then green is 6 times as many. Red must be the rest to make up 20 total.

No. of blue        No. of green      No. of red

1                          6                           13

2                        12                           6

3                        18                           -1

You can't have 3 blue pencils because 3 blue + 18 green = 21 pencils, and there are only 20.

If you have 1 blue and 6 green, then there must be 13 red, but red must be less than green, and 13 is not less than 6.

The only possibility is

2 blue, 12 green, 6 red

If you start taking out pencils, when you take out the first 14 they may be all blues or green, so only when you take out the 15th pencil do you know for sure there must be 1 green pencil.

Answer:

C

Step-by-step explanation:

Because the four line make a quadrilateral in which line a and d are parallel , line b and c are parallel. Then the others like line a and b ,a and c ,d and b are perpendicular.

If you draw it , it will be easier

Hope it helps ... Brainliest please

Answer: c

Step-by-step explanation:

Answer:

Substitution

Step-by-step explanation:

The subtraction property of equality is when you subtract from both sides, they will still be equal. The multiplication property is the same thing but with multiplication.

Answer:

Substitution

Step-by-step explanation:

Substitution: If a = b, then either a or b may be substitued for the other in any equation (or inequality).

Multiplication: If a =b, then ca = cb.

Subtraction: If a=b and c=d, then a-c=b-d

Substitution is the closest.

Answer:

Step-by-step explanation:

x + 2x + 4x = 49

7x = 49

x = 7

2(7)= 14 hours he worked on Wednesday