Help what should I write

Answer:

[tex]V(x) = 66.02\ \text{in}^3 \ \vert \ _x_=_1_._9_6[/tex]

Step-by-step explanation:

The volume of a rectangular prism is found using the formula: V = lwh.

In order to write a formula in terms of the variable x, we need to write expressions for the length, width, and height of the rectangle.

We can say the length is the bottom of the base of the prism. To find this value, we can subtract x and x from 15 and divide this by 2, since there are two equal rectangles (base and lid).

We can say the width is the side of the base of the prism. To find this value, we can subtract 2x from 10.

The height of the prism can be x, which is the labeled length of the rectangle next to the base and lid.

Now we are able to write a formula for volume in terms of x.

The domain of the volume is where x > 0, 2x < 10, and 2x < 15.

This is because our expressions for length ([tex]\frac{15-2x}{2}[/tex]), width (10-2x), and height (x) cannot go below 0, because you cannot have a negative value for measurement - realistically.

Therefore, if we take into account all of these restrictions on x, the domain is where 0 < x < 5.

x cannot be > 5 since that would not satisfy 2x < 10.

The domain of V for this problem situation is D: (0, 5).

In order to find the maximum volume of the rectangular prism using our formula we derived, we can use the idea of optimization in calculus.

Start by taking the derivative of V(x).

Set the derivative equal to 0. This gives us the critical point(s) in order to determine the extreme values of the function, aka where the max and min occur.

Solve for x by using the quadratic formula.

Input this into your calculator and you should get:

We are going to use x = 1.96 since 6.37 is NOT in the domain of V(x).

Now, since this value of x is going to give the maximum volume of this rectangular prism, or cardboard box, we can plug it back into the V(x) equation for volume to determine the maximum volume of the box.

The maximum volume of the cardboard box is 66.02 in³ and the value of x that gives this is 1.96.

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2\:-3x\:-\:5\:=\:0[/tex]

solving with the quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5[/tex]

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}[/tex]

separating the solutions

[tex]x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}[/tex]

solving

[tex]x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}[/tex]

  [tex]=\frac{3+\sqrt{29}}{2\cdot \:1}[/tex]

  [tex]=\frac{3+\sqrt{29}}{2}[/tex]

also solving

[tex]\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}[/tex]

  [tex]=\frac{3-\sqrt{29}}{2\cdot \:1}[/tex]

  [tex]=\frac{3-\sqrt{29}}{2}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]

Explanation:

Write out an equation for the total cost. The price per pound multiplied by the number of pounds will give you the total cost.

Total cost

=

Price per pound

⋅

Number of pounds

Rearrange this algebraically to solve for  

Price per pound

. To do this, divide both sides of the equation by  

Number of pounds

to get  

Price per pound

by itself.

Total cost

Number of pounds

=

Price per pound

⋅

Number of pounds

Number of pounds

This leaves us with a new form of the equation.

Price per pound

=

Total cost

Number of pounds

All we need to do now is substitute in the given information and solve.

Price per pound

=

Total cost

Number of pounds

=

38.87

2.6

=

$

14.9

Answer:

Step-by-step explanation:

1.3 * $6.5 = 8.45

Answer:

x^3+6x^2-6x-11

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

(x² - 6) (x + 6) + 25

x²(x + 6) + -6(x + 6) + 25

x³ + 6x² - 6x - 36 + 25

x³ + 6x² - 6x - 11

Answer:man I’m sry

Step-by-step explanation:

Answer:

Miling saves more because he saves 15 dollars a week while Daniel saves 10 dollars a week 10 dollars is less than 15 dollars

Answer:

5

Step-by-step explanation:

Answer:50000

Step-by-step explanation:

Answer:

8 tan 50 deg

Step-by-step explanation:

m<A = 50 deg

tan A = x/8

x = 8 tan 50 deg

Answer: C   8 tan 50 deg

Answer:

24

Step-by-step explanation:

4.8×5 you have 5 candy bars that are $4.80 each so you multiply that by 5.

Answer:

a = -10

Step-by-step explanation:

solving inequation : a [tex]\leq[/tex] -6.5    so   a = -10   complies

Answer:

a=-10

Step-by-step explanation:

[tex]2a-7\leq -20\\2a\leq -13\\a\leq -6.5\\[/tex]

The only solution that fits this is a=-10

9514 1404 393

Answer:

  y > 0

Step-by-step explanation:

The range of the function ...

  y = e^(4x)

is the same as the range of any exponential function:

  y > 0

The function can take on any positive value, but will never be 0 or negative. It has a horizontal asymptote of y=0.

The range of the given function is y > 0.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

y = e⁴ˣ

This is an exponential function.

The range of any exponential function is all the real numbers which are greater than 0.

So here also, the range is all the real numbers which are greater than 0.

So range is y > 0.

Hence the correct option is B.

Learn more about Exponential Functions here :

https://brainly.com/question/28596571

#SPJ7

Answer:

true

Step-by-step explanation:

Answer:

true is the answer yyyt

Answer:

'no'

Step-by-step explanation:

Answer:

The solutions are x=4,x=−10. Explanation: The square root property involves taking the square root of both the terms on either side of the ...

1 answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Determine the domain. The excluded values are those values for the variable that result in the expression having a denominator of 0.

Factor the numerator and denominator.

Find common factors for the numerator and denominator and simplify.

Answer:

34.5

17.1

Step-by-step explanation:

Answer:

x + (x +3) + (x +7) = 37

3x = 27

x = 9

Longest side = x + 7 = 16 cm

Step-by-step explanation:

Answer:

16cm

Step-by-step explanation:

x + x + 3 + x + 7 = 37          (make all sides equal 37)

3x + 10 = 37                        (Add x's and coefficiants together)

    -10     -10                        (subtract 10 from each side)

3x = 27                               (divide 27 by 3)

x = 9                                    (answer)

x, x + 3, x + 7                      (finding longest length)

9, 9 + 3, 9 + 7                     (Substitute 9 for x)

9cm, 12cm, 16cm               (add each together)

16cm                                   (answer)

Answer:

(f + g)(x) = |3x + 5| + 13

Step-by-step explanation:

Given

f(x) = |3x + 5| + 6

g(x) = 7

Required

Find (f + g)(x)

In functions

(f + g)(x) = f(x) + g(x)

Meaning that, we simply add the given functions together

So, we have that:

(f + g)(x) = |3x + 5| + 6 + 7

(f + g)(x) = |3x + 5| + 13

Hence, (f + g)(x) when calculated equals |3x + 5| + 13

Answer:

30 builders

Step-by-step explanation:

80÷5=16

6x5=30

25% of $35 is 8.75, so the price would be $26.25. plus tax, the final price would be $27.825 or $27.83. if that doesn't work, try $27.82

(i was wrong before, this should be right now)

hope this helps!! :)

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Cube is the same

Answer:V=h×b×w

Step-by-step explanation:

You have to mulitiply height,width, and the base together to get the volume.

Answer:

hello your  question lacks some vital information attached below is the complete question

answer :

a) consuming some amount of apple ( x ) and (y) amount of banana will determine the amount of magnesium, calcium and phosphorous you will be getting

b) 74mg of magnesium is consumed

 34 mg of calcium consumed

 88 mg of phosphorous consumed

c) The span of the two vectors will intercept for any value of X and Y ( whole number values ) and this indicates

The amount of magnesium, calcium and phosphorous consumed is finite and a whole number

Step-by-step explanation:

Given :

per 100 grams, apple has 5 mg of magnesium

per 100 grams , a banana has 27 mg

also an apple has 6 mg of calcium while a banana has 5 mg

An apple has 11 mg of phosphorous while a banana has 22 mg

attached below is the detailed solution

A) Give a physical interpretation of the vectors is that

consuming some amount of apple ( x ) and (y) amount of banana will determine the amount of magnesium, calcium and phosphorous you will be getting

B) Physical interpretation of linear combination : 4v1 + 2v2

Detailed solution attached below

= 74mg of magnesium is consumed

 34 mg of calcium consumed

 88 mg of phosphorous consumed

C) The span of the two vectors will intercept for any value of X and Y ( whole number values ) and this indicates

The amount of magnesium, calcium and phosphorous consumed is finite and a whole number

Answer:

1o

2true I helped it help

Answer:

Answer is B

Step-by-step explanation:

If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.

But a more intuitive way is to determine what happens during each transformation.

A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.

Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.

What happens to the graph?

Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).

What about the y = |x| + h graph?

Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.

So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.

Answer:

answer is b

Step-by-step explanation:

because i got it right on E D G E