12
13
13
14
10.954
Find volume

Answer:

B, 96

Step-by-step explanation:

All you have to do is simplify both sides of the equation.

a) Volume = x(100 - 2x)(80 - 2x).

b) Surface Area = (100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x).

c) Ratio = x(100 - 2x)(80 - 2x) / [(100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x)].

d) Restrictions: 0 < x ≤ 40 and x < 50. (Positive dimensions, non-zero volume, and avoiding non-physical dimensions)

a) The box will have a height of x and a base of (100 - 2x) cm by (80 - 2x) cm.

Thus, the expression for the volume of the box in terms of x is:

Volume = x × (100 - 2x) × (80 - 2x)

b) To find the surface area of the open-topped box,

consider the area of the bottom (100 - 2x) × (80 - 2x) and the four sides.

The sides have a width of x and a length of 100 - 2x or 80 - 2x, so the surface area expression is:

Surface Area = (100 - 2x) × (80 - 2x) + 4x × (100 - 2x) + 4x × (80 - 2x)

c) To find the ratio of the volume to the surface area,

divide the volume expression by the surface area expression:

Ratio = Volume / Surface Area

Ratio = [x × (100 - 2x) × (80 - 2x)] / [(100 - 2x)× (80 - 2x) + 4x × (100 - 2x) + 4x ×(80 - 2x)]

d) To identify restrictions on x, consider practical aspects of the box.

The value of x must be positive since we're cutting squares from the corners.

Also, the value of x cannot exceed half the length of the sides

(100/2 = 50 and 80/2 = 40)

because if x is greater than half, then the box will have a negative or zero dimension, which is not meaningful. So, the restrictions are:

0 < x ≤ 40 (to ensure positive dimensions and non-zero volume)

x < 50 (to avoid non-physical dimensions)

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Answer:

The single power of 3 is 3 ^ -54.

Hope it will help :)❤

Answer:

[tex]3^{-54}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](3^-9)^{6}[/tex]

= [tex]3^{(-9(6))}[/tex]

= [tex]3^{-54}[/tex]

Answer:

39 cm

Step-by-step explanation:

Given

ΔABC and ΔA'B'C'

B = 5 cm

B' = 15 cm

Perimeter ΔABC = 13 cm

Required

Determine the perimeter of ΔA'B'C

[Since ΔABC is dilated to give ΔA'B'C', the first step is to get the scale factor.]

Scale Factor = ΔA'B'C ÷ ΔABC

[Using side B and B' as points of reference]

Scale Factor = B' ÷ B

[Substitute values for B' and B]

Scale Factor = 15 ÷ 5

Scale Factor = 3

[The perimeter of ΔA'B'C' is then calculated as:]

Perimeter ΔA'B'C'= Scale Factor * Perimeter of ΔABC

ΔA'B'C = 3 * 13 cm

ΔA'B'C = 39 cm

Answer: 52

Step-by-step explanation:

Edge 2023

Answer:

P = 4w + 8

Step-by-step explanation:

Jose is creating a map in the shape of a rectangle whose length is 4 inches longer than its width. Let w stand for the width of the map in inches. Write an equation gives the perimeter of the map in terms of w?

Perimeter of the rectangle = 2(L +w)

L is the length of the rectangle

w is the width

If the length is 4 inches longer than its width, then;

l = w + 4

Substitute into the expression;

P = 2 (L+w)

P = 2(w+4+w)

P = 2 (2w+4)

P = 4w + 8

Hence the perimeter of the map in terms of w is P = 4w + 8

Answer:

c) is the right answer.

Step-by-step explanation:

The Skills needed are: GCF, Division, and Factoring

If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.

Here we have:

12x + 18y-60

1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)

    -12's factors are: 1,2,3,4,6,12

    -18's factors are: 1,2,3,6,9,18

    -60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60

The GCF, or the biggest factor all these numbers share is: 6

2) So we can take out the 6 from all of these.

       -12x/6=2x

       -18y/6=3y

       -60/6=10

Our new expression with the 6 taken out would be: 6(2x + 3y - 10)

The only answer that has this is c)

Hope you understood and have a nice day!!

Answer:

[tex](2,\frac{3}{2}})[/tex]

Step-by-step explanation:

For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.

[tex]\left \{ +{{7x+2y=17} \atop {2x-2y=1}} \right. \\\\9x=18\\x=2[/tex]

Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.

[tex]7x+2y=17\\7(2)+2y=17\\14+2y=17\\2y=3\\y=\frac{3}{2}[/tex]

So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is [tex](2,\frac{3}{2}})[/tex].

Answer:

Step-by-step explanation:

: The mass of 4.5 moles of sodium fluoride is 189g

You can view more details on each measurement unit: molecular weight of Fe or grams The SI base unit for amount of substance is the mole. 1 mole is equal to 1 moles Fe, or 55.845 grams.

Answer:

252g

Step-by-step explanation:

1 mole of fe =56g

therefore 4.5 moles = 4.5×56

=252g

Answer:

No

Step-by-step explanation:

Number of feets per second of treasure chest = 20ft / s

Depth of ocean floor = - 4200

To know if chest will reach ocean depth in 3 minutes ; use the Relation :

Distance = speed * time

Time = 3 minutes = (3 * 60) = 180 seconds

Depth of chest after 180 seconds :

-20 * 180 = - 3600 feets

Hence, chest can't reach ocean floor in 3 minutes

-4200 feets is deeper than - 3600 feets

Answer:

write question properly

Answer:

U4

Step-by-step explanation:

Answer:

y=-2x+2 (if you need it in y-intercept form)

2x+y=2 (if you need it in standard form)

Step-by-step explanation:

1. Write the original line in y=mx+b form. In other words, get the y by itself on the left side of the equation.

Subtract 2x from both sides.

y=-2x+1

2. Recall that parallel lines have the same slope. Slope is always the number with the x in the equation. Since the slope in the first equation is -2, the slope of the new line will also be -2.

3. Find the y-intercept. Use the point (-1,4) and plug the y and x values into the point-slope formula. M represents the slope.

y-y1=m(x-x1)

y-4=-2(x+1)

Simplify the equation.

y-4=-2x-2

y=-2x+2

(Proceed to step 4 if you need it in standard form)

4. Write the equation in standard form (x+y=z). Z represents the number by itself without variables.

Add -2x to both sides

2x+y=2

Answer:

An of line that passes through the point (−1,4) and is parallel to the line will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

2x+y=1

converting the line into slope-intercept form

y = -2x+1

comparing with the slope-intercept form of the line equation

The slope of the line = m = -2

We know that the parallel lines have the same slopes.

Thus, the slope of line that passes through the point (−1,4) and is parallel to the line will be: -2

using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = -2 and the point (-1, 4)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4=-2\left(x-\left(-1\right)\right)[/tex]

Add 4 to both sides

[tex]y-4+4=-2\left(x+1\right)+4[/tex]

[tex]y=-2x+2[/tex]

Therefore, an of line that passes through the point (−1,4) and is parallel to the line will be:

Answer:

the exponent is 3^-10

so its the first one the fourth and i think the fifth too

Answer:

A, D

I hope this works for you

Answer:

8+4(3(-2)+-4)

Solve brackets first

8+4(-6+-4)

8+4(-6-4)

8+4(-10)

8+-40

8-40

= -32

Step-by-step explanation:

8+4(3(-2)+-4)

= 8+4 (-6-4)

=8+4(-10)

=8-40

=-32

Answer:

7%, 10%

Step-by-step explanation:

Man, I'm doing AP Stats homework right now and it's on conditionals too.

P(X given Y) = P(X and Y)/P(Y) = 0.03/0.45 = 1/15 for A|B

and thus 0.03/0.30 = 1/10 for B|A

So 7% and 10% are the answers.

Answer:

[tex]x(t) = 54t[/tex]  and [tex]y(t) = 134(t - 3)[/tex]

Step-by-step explanation:

Represent the swimmers with A and B

For Swimmer A:

[tex]Rate = 54m/min[/tex]

For Swimmer B:

[tex]Rate = 134m/min[/tex]

Required:

Write a parametric equation

For Swimmer A:

If swimmer A covers 54 meters in 1 minutes, then the swimmer covers 54t in t minutes

So, the function is:

[tex]x(t) = 54t[/tex]

For Swimmer B:

If swimmer A covers t minutes, swimmer B swims for (t - 3) minutes because swimmer B starts 3 minutes later.

If in 1 minutes, swimmer B covers 134 minutes; In (t - 3) minutes, the swimmer covers 134(t - 3)

So, the rate is:

[tex]y(t) = 134(t + 3)[/tex]

Hence, the parametric functions are:

[tex]x(t) = 54t[/tex] and

[tex]y(t) = 134(t - 3)[/tex]

Answer:

A on Edge

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

LCD(4/5, 2/3) = 15

so then when you find the Least Common Denominator it will be 12/15-10/15 and then it equals 2/15

Answer:

2/15

Step-by-step explanation:

Answer:

The total area of the land is 4.4 square mi.

The length of the fence should be 9.2 mi.

Step-by-step explanation:

Consider the provided information.

The required figure is shown below:

First, we need to find the Hypotenuse of the triangle by using the Pythagoras theorem.

[tex](\text{Hyp})^2=(1.6)^2+(1.2)^2[/tex]

[tex](\text{Hyp})^2=2.56+1.44[/tex]

[tex](\text{Hyp})^2=4[/tex]

[tex]\text{Hyp}=2[/tex]

So, the hypotenuse of the triangle is 2 mi. Also, the hypotenuse of the triangle is the side of the rectangle.

Total area = Area of square + Area of Triangle + Area of rectangle

Total area = [tex]1.2\times 1.2+\frac{1}{2}(1.2)(1.6)+2\times 1[/tex]

Total area = [tex]1.44+0.96+ 2[/tex]

Total area = 4.4 square mi.

Now calculate the fencing they need to enclose the outside of their farm.

For this add the length of the red lines shown in the figure below:

[tex]\text{Fence length outside the farm}=1.2+1.6+1+2+1+1.2+1.2[/tex]

[tex]\text{Fence length outside the farm}=9.2[/tex]

Hence, the length of the fence should be 9.2 mi.

Answer:

7y

Step-by-step explanation:

use distributive property:

4x+12y=6x-2y

2x=14y

x=7y

Answer:

f(5) =  -38

Step-by-step explanation:

Given the function

f(x)=−3x²+9x−8

Evaluating the function

f(x)=−3x²+9x−8

f(5) = −3(5)²+9(5)−8

f(5) = -75+45-8

f(5) = -38

Therefore, we conclude that:

f(5) =  -38

Answer:

I really cant find one...Ive tried all of them on the clacutaor but the closest one seems to be number 4

Step-by-step explanation:

Answer:

x = 10

y = 20

Step-by-step explanation:

Hope this hepls you.

Answer:

[tex]s = \frac{4p}{3} -100[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{3(s + 100)}{4}[/tex]

Required

Solve for s

[tex]p = \frac{3(s + 100)}{4}[/tex]

Multiply both sides by 4

[tex]4 * p = \frac{3(s + 100)}{4} * 4[/tex]

[tex]4 * p = 3(s + 100)[/tex]

[tex]4p = 3(s + 100)[/tex]

Open bracket

[tex]4p = 3s + 300[/tex]

Subtract 300 from both sides

[tex]4p -300= 3s + 300 -300[/tex]

[tex]4p -300= 3s[/tex]

Divide both sides by 3

[tex]\frac{4p -300}{3}= \frac{3s}{3}[/tex]

[tex]\frac{4p -300}{3}= s[/tex]

[tex]s = \frac{4p -300}{3}[/tex]

Split

[tex]s = \frac{4p}{3} -\frac{300}{3}[/tex]

[tex]s = \frac{4p}{3} -100[/tex]

Answer: b

Step-by-step explanation:

i just did it and got it right

Answer:

3/4

Step-by-step explanation:

in order to simplify divide the numerator and denominator by the greatest Common Factor or both numbers... in this case the numbers are 6 and 8

6: 1,2,3,6

8:1,2,4,8,

as you can see the GCF is 2... so you divide 6 by 2 nd 8 by 2

6/2= 3

8/2=4

since 6 in ur numerator the quotient is 3 so the number 3 goes on the top

3/4

Answer: 3/4 or .75

Explanation:

you divide the denominator and numerator by 2