Carson needs to build a closed container out of sheet metal, but needs to minimize the amount of sheet metal used. The volume of Carson's container needs to be approximately 320 cubic Inches. Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal. Which design should Carson choose? A. Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in. B. Rectangular prism with dimensions of 10 in., 8 in., and 4 in. C. Cylinder with a radius of 5 in. and height of 5 in. D. Square pyramid with a base length of 10 in., height of 10 in, and slant height of approximately 14 in.​

Answer:

by Translation.

Using the photo it is (5/-8)

Answer:

80% is equivalent to 80/100 which is the same as 0.8 and we can just take a number, for example 10, and we can multiply it by 0.8 and we would get 8 which is 80% of the original value.

a prism

Step-by-step explanation:

it has two parallel, congruent bases that are connected by a lateral face

Answer:

a = 7

Step-by-step explanation:

» Solution

Step 1: Add 2 to both sides.

Step 2: Divide both sides by -3.

Therefore, a = 7.

there so many question possibilities and the do many possibilities for answers

Answer:

Mode=. 3,4

Mean= 21/6=3,5

Median= 3+4/2=5

Range=6-4=2

Step-by-step explanation:

1. Mode are numbers in between.

2. Mean add all number devide with the highest value.

3. Median are 2 middle number add them and divide them by 2.

4. Highest value subtract lowest value.

the hmmm cheap way to go about is, usually using the x = 1 and x = 0 pairs.

[tex]y = ab^x\hspace{5em} \begin{array}{|rr|ll} \cline{1-2} x&y\\ \cline{1-2} -2&1\\ -1&3\\ 0&9\\ 1&27\\ 2&81\\ \cline{1-2} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=9 \end{cases}\implies 9~~ = ~~ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27~~ = ~~9b^1\implies \cfrac{27}{9}=b^1\implies 3=b~\hfill \underline{y=9(3)^x}[/tex]

Answer:

25 comes next

Step-by-step explanation:

okay so when it says "position" it means the numbers place in the order, for example "4" in this case would be the in the second position and "16" in the fourth position.

to get 1 you do: 1*1 because 1 is the first number and it is in the first (1) position.

To get the second number (4) you do: 2*2 because two is the second number (it comes after 1) and it is in the second position.

For 9, you do 3*3; the pattern here is squares, 1^2=1 2^2=4, 3^2=9, 4^2=16.

If we follow that pattern we will get 5^2=25

Answer:

i hope it helps

Step-by-step explanation:

area= inside of figure

area of triangle= 1/2 base*height

perimeter= sum of all sides

perimeter of triangle= a+b+c

Answer:

A= 8.25 m  P≈ 16.2 m

Step-by-step explanation:

Answer:

[tex]\sf \boxed{\sf \frac{3}{2} } \ miles \ per \ day[/tex]

Explanation:

[tex]\sf unit \ rate: \dfrac{Total \ distance \ (miles)}{Total \ time \ taken \ (day)}[/tex]

Here given:

[tex]Total \ Distance : 8\dfrac{1}{4} \ or \ 8.25[/tex]

[tex]Total \ Time \ taken : 5\dfrac{1}{2} \ or \ 5.5[/tex]

Find unit rate:

[tex]\rightarrow \sf unit \ rate: \dfrac{8.25 }{5.5 }[/tex]

[tex]\rightarrow \sf unit \ rate: 1.5 \ miles \ per \ day[/tex]

Unit rate

Answer:

y≥3x-2

Step-by-step explanation:

The accompanying table and the range rule of thumb show that 1 girl is a significantly low number of girls because 1 girl is less than the minimum value that is not significant.

x.        p(x).      xp(x).

0 0.002   0         0.0516

1 0.016 0.016 0.2665

2 0.039 0.078 0.3702

3 0.113 0.339 0.4894

4 0.205  0.82 0.2396

5 0.241 1.205 0.0016

6 0.196  1.176 0.1655

7 0.113 0.791 0.4161

8 0.041 0.328 0.3493

9 0.012  0.108 0.1843

10 0.022 0.22 0.5323

Total = 1   5.1         3.066

Maximum value of range will be:

= 5.1 + [2*1.75]

= 5.1 + 3.5

= 8.6

Minimum value of range will be:

= 5.1 - [2*1.75]

= 5.1 - 3.5

=1.6

Therefore, 1 girl is a significantly low number of girls, because 1 girl is less than the minimum value that is not significant.

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Rewrite the 3 fractions to have a common denominator:

1/4 = 5/20

2/5 = 8/20

3/4 = 15/20

Now solve:

5/20 - 8/20 + 15/20 = 12/20

12/20 can simplify to 3/5

Answer: 3/5

Answer: p=-4

Since,

=> p-4=-8

=>p-4+4 =-8+4(adding 4 both sides)

=>p=-4 ans.

Answer:

-4

Step-by-step explanation:

Given

Add 4 to both sides.

Hence, the value of p in the equation is -4.

The surface area of the sphere based on the information will be 2304π.

It should be noted that the radius of the circle will be 1/2 the length of the line. Therefore, the radius in the shape will be:

= 1/2 × 48

= 24 units.

Therefore, the area of the sphere will be:

= 4πr²

= 4 × π × 24²

= 2304π

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Answer:

0.035 3.5×10-²

Step-by-step explanation:

im sorry that is my answer thank you

Answer:

1. 8

2. 7.8

3. 7

4. 9.3

Step-by-step explanation:

6+10/2=8

8.5+7/2=7.8

6+8/2=7

9+9.5/2=9.3

Answer:

66

Step-by-step explanation:

The value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

1 [tex]$\frac{5}{7}[/tex] and 3 [tex]$\frac{1}{4}[/tex]

On multiplying the expression, we get -

1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex]

(12/7)  x  (13/4)

39/4

9 [tex]$\frac{3}{4}[/tex]

The value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

Therefore, the value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

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The person that might want to claim exemption on the W-4 form is John who received money from his internship.

This is possible if your income does not derive from:

John can likely be exempted because he obtained the money from an internship, which is not a formal job.

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         - - - - - -- - - - - - - - -- - - - - - - - - - - - - - - - - -- - - - - - - -- - - - - - - - - -- - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the surface area of a cylinder with height 4 mi and radius 7 mi?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

[tex]\textsf{Formula for Surface Area of a Cylinder:-}[/tex]

[tex]\dashrightarrow\bigstar\boxed{\bold{A=2\pi rh+2\pi r^2}}\dashleftarrow[/tex]

Where

[tex]\bold{A=area}[/tex]

[tex]\bold{\pi =pi\:(3.14...)}[/tex]

[tex]\bold{r=radius}[/tex]

[tex]\bold{h=height}[/tex]

Given:-

[tex]\bold{r=4mi}[/tex]

[tex]\bold{h=7\:mi}[/tex]

Solving for Surface Area:-

[tex]\bf{A=2\pi (4)(7)+2\pi (4)^2}[/tex]

[tex]\bf{A=2\pi (28)+2\pi (16)}[/tex]

On further simplification,

[tex]\bf{A=56\pi +32\pi }[/tex]

Now we just add the pi's together:-

[tex]\bf{A=88\pi }[/tex]

And finally,

[tex]\dashrightarrow\bf{\underline{A=276.460\:mi^2}\dashleftarrow[/tex]

                     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

Circumference of circle : 2πr

= 2 × π × 14

= 28 π ft

If you need any other help , please let me know ! ,[ you'll have to pay ]

The area of the rectangular base of his friend's tank is 468.75 square inches. So, Option D is correct.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

One of Julian's friends also has a rectangular aquarium.

The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.

Let x be the length of Julian's tank.

Let y be the width of Julian's tank.

So, the Area of Julian's tank = length × Width

                                               = xy

Since we are given

300 = xy

Now we are given that the dimensions of his friend's tank are each exactly times the dimensions of Julian's tank.

So, the length of his friend's tank = 5/4 x

So, the width of his friend's tank = 5/4 y

So, Area of his friend's tank = ( 5/4 x) (5/4 y)

                                           = 25 / 16 xy

                                           = 25 / 16 (300)

                                           = 468.75

Hence the area of the rectangular base of his friend's tank is 468.75 square inches.

So, Option D is correct.

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Step-by-step explanation:

a)

the total length of the outer or also only the inner perimeter ?

I assume the second case. but it is not difficult to change it to the outer perimeter case (per the information of b).

the total length consists of a straight side and 2 radius (left and right) of the end circles.

a radius is half the diameter, so 2×radius = 1 diameter.

so,

400 = length + 49

length = 400 - 49 = 351 m

the length of the straight sides is 351 m.

b)

the difference in length between both perimeters bases only on the difference in length of the circumference of the end circles. the lengths of the straight sides remain the same, not matter if outer or inner perimeter.

the circumference of 2 half circles is the circumference of 1 whole circle.

the circumference of a circle is

2×pi×r = pi×diameter

in our case for the inner perimeter

pi×49 = 153.93804... m

for the outer perimeter the radius and therefore the diameter changes : we have to add 6×1.5 m = 9 m on both sides of the circle

so, the radius of the outer circles is 9 m longer and the diameter 9×2 = 18 m longer : 49 + 18 = 67 m

so, we get for the outer circle perimeter

pi×67 = 210.4867078... m

therefore, the difference in the length of outer and inner perimeter is

210.4867078... - 153.93804... = 56.54866776... m

Answer:

The area is 292.5 cm2

At the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24

Deprecation, also called devaluation, is the decrement in price of an asset. Appreciation is opposite of deprecation. This indicates increment in the price of the considered thing.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

It is given that:

Now, consider appreciation of an amount A by P%.

Then, we have:

Increased price = Initial price + P% of initial price

Increased price = [tex]A + \dfrac{A}{100} \times P = A \times \left(1 + \dfrac{P}{100} \right)[/tex]

Similarly, depreciated price by P% of an amount A is:

Decreased price = [tex]A - \dfrac{A}{100} \times P = A \times \left(1 - \dfrac{P}{100} \right)[/tex]

We've got: A = 350,000

After 1st year, which had 12% appreciation, we get:

[tex]A_1 =A(1 + 12/100) = A(1.12)\\[/tex]
After 2nd year, 10% appreciation we get:

[tex]A_2 =A_1(1 + 10/100) = A_1(1.1) = A(1.12)(1.1)\\[/tex]

After 3rd year, which had 8% devaluation effect on the price, we get:

[tex]A_3 = A_2(1 - 8/100) = A_2(1-0.08) = A_2(0.92) = A(1.12)(1.1)(0.92)[/tex]

After 4th year,  which had 6% appreciation effect on the price, we get:[tex]A_4 = A_3(1 + 6/100) = A_4(1+0.06) = A_3(1.06) = A(1.12)(1.1)(0.92)(1.06)[/tex]

Thus, the final effect on A is:

[tex]A \rightarrow A(1.12)(1.1)(0.92)(1.06) = A(1.2014464)\\\$350,000 \rightarrow 350000(1.2014464) = 420506.24\: \rm dollars[/tex]

Thus, at the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24

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Answer:

£10.40

Step-by-step explanation:

Latte = £2.60
2 Hot Chocolates = £6.00
Tea = £1.80
Total = £2.60 + £6.00 + £1.80 = £10.40

Answer:

£10.40

Step-by-step explanation:

Add the cost of the drinks together to find the total cost:

[tex]\begin{tabular}{r r}Latte & \£2.60\\Hot Choc & \£3.00\\ Hot Choc & \£3.00\\Tea & \£1.80\\\cline{1-2} Total & \£10.40\\\cline{1-2}\end{tabular}[/tex]