Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.

In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.

Answer:

A: [tex]12x+15y=60[/tex] B: [tex]12x+15y\leq 60[/tex]

Step-by-step explanation:

Answer:

[tex]4^{2}[/tex]

Step-by-step explanation:

so when you multiply two numbers with the same constant, and different exponents, just add the exponents!

so it is 5 - 3 = 2

so its [tex]4^{2}[/tex]

Answer:

A) 4²

Step-by-step explanation:

[tex](4^5)(4^{-3})\\\\4(^{5-3})\\\\4^2\\\\16[/tex]

Hope this helps!

Answer:

there are so many ways

Step-by-step explanation:

such as observing day by day and checking its height with a scale everyday etc

The number of ways of combining different growth factors to form a level is 80.

The act of organizing all the components of a set into some sequence or order is known as permutation. Permuting, in other words, is the act of reordering the components of a set that has previously been sorted.

A permutation is the selection of r items from a collection of n items without replacement, with the order of the items being significant.

nPr = (n!) / (n-r)!

The combination is a method of picking elements from a collection in which the order of selection is irrelevant (unlike permutations).

A combination is a selection of r items from a collection of n items with no replacements and no regard for order.

nCr = (n!)/{(r!)((n-r)!)}

We are given that Jenny is studying the growth of a particular type of plant. She is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels she's testing for each.

Growth factor Levels

Lighting: Low, Medium, High, Very high.

Age: 1 month, 2 months, 3 months, 4 months, 5 months.

Temperature: 20°, 22°, 24°, 26°.

We are asked to find the number of ways in which she can combine different levels to form one level.

We first check the number of combinations for each factor and then multiply them all to get the total number of ways possible.

Lighting: 4 (∵ All the 4 levels are possible, so the combinations are 4P1 = 4).

Age: 5 (∵ All the 5 levels are possible, so the combinations are 5P1 = 5).

Temperature: 4 (∵ All the 4 levels are possible, so the combinations are 4P1 =4).

∴ Total number of ways of combining different growth factors to form a level = 4*5*4 = 80

∴ The number of ways of combining different growth factors to form a level is 80.

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Answer:

37.68 feet.

Step-by-step explanation:

Circumference = diameter *  π

= 12 * π

=  37.68 feet.

Answer:

145

Step-by-step explanation:

angle 2 = angle 3

=>          angle 3 = 35

now, we have

=>         35+angle 5 = 180

=>         angle 5 = 180 - 35

=>         angle 5  = 145

Answer:

145°

Step-by-step explanation:

line m || line (Given)

[tex]m\angle 2 = 35\degree ......(1)[/tex] (Given)

[tex]m\angle 3 = m\angle 2 ......(2)[/tex] (vertical angles)

From equations (1) and (2)

[tex]\implies m\angle 3 = 35\degree[/tex]

[tex]m\angle 3 +m\angle 5 = 180\degree[/tex] (interior angles on the same side of transversal)

[tex] \implies 35\degree +m\angle 5 = 180\degree[/tex]

[tex] \implies m\angle 5 = 180\degree-35\degree[/tex]

[tex] \implies m\angle 5 = 145\degree[/tex]

Answer:

Each additional copy increased the time by 8 seconds

Step-by-step explanation:

It is increased because- the amount of seconds is increasing every time an additional copy is added to the table

it is 8 because- 12 increases by 8 to get 20, and 20 increases by 8 to get 28, and 28 increases by 8 to get 36.

Answer:

0

Step-by-step explanation:

So,0= the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.

Hence, the values for different conditions were calculated with the help of trigonometric functions.

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths

Part A

Given that,

f(x)=2sinθ+[tex]\sqrt{2}[/tex]

Non compressed length = [tex]\sqrt{2}[/tex]

Then

2sinθ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sinθ=0

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Part B

Here angle is doubled

Then,

2sin2θ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sin2θ=0

sin2θ=0

Here θ will be the integer multiple of [tex]\frac{\pi }{2}[/tex]

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

g(x)=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

Here

f(x)=g(x)

2sinθ+[tex]\sqrt{2}[/tex]=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

2sinθ=1-[tex]cos^{2}[/tex]θ

we know that [tex]1-cos^{2}[/tex]θ=[tex]sin^{2}[/tex]θ

2sinθ=[tex]sin^{2}[/tex]θ

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Hence, we have solved that

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

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Answer:

15 because there are 15 squares i counted

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

substitute 510 with 1000 and multiply by 10 to get 10,000

Answer:

$43 million

Step-by-step explanation:

15.4 million = 0.36 (T)

15,400,000 / 0.36 = T

42,777,777.78 = T

$42.8 million ≈ $43 million (rounded)

The final answer rounded to the nearest million is $43 million. This makes sense since $15.4 was only 36% of this total. Checking our math, 36% of $43 million is $15.4 million!

Hope this helps :)

Answer:

y≤3

Step-by-step explanation:

5y+4≤22−y

Step 1: Simplify both sides of the inequality.

5y+4≤−y+22

Step 2: Add y to both sides.

5y+4+y≤−y+22+y

6y+4≤22

Step 3: Subtract 4 from both sides.

6y+4−4≤22−4

6y≤18

Step 4: Divide both sides by 6.

6y/6≤18/6

y≤3

Hey there!

Let's solve your inequality step-by-step.

[tex]\fbox{5y+4≤22−y}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]\fbox{5y+4≤−y+22}[/tex]

Step 2: Add y to both sides.

[tex]\fbox{5y+4+y≤−y+22+y}[/tex]

[tex]\fbox{6y+4≤22}[/tex]

Step 3: Subtract 4 from both sides.

[tex]\fbox{6y+4−4≤22−4}[/tex]

[tex]\fbox{6y≤18}[/tex]

Step 4: Divide both sides by 6.

[tex]\fbox{6y/6 ≤ 18/6}[/tex]

[tex]\fbox{y≤3}[/tex]

Answer:

[tex]\fbox{y≤3}[/tex]

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Answer:

These would be complementary angles.

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

Answer:

B. $1.34

Step-by-step explanation:

5.36 ÷ 4

=536×1/4×1/100

=536/400

=1.34

Answer:

C. $5 for 40 ounces

Step-by-step explanation:

First, we need to find the unit rate for each deal.

To do this, we divide the price of the cereal box by the unit (ounces):

1. $3.20 for 20 ounces

3.20/20 = $0.16 for each ounce

2. $4.50 for 25 ounces

4.50/25 = 0.18 for each ounce

3. $5 for 40 ounces

5/40 = 0.13 for each ounce

4. $6.50 for 20 ounces

6.50/20 = 0.33 for each ounce

As you can see, the third one is the best deal, as it is the least expensive.

Hope this helps!

Answer:

-4

Step-by-step explanation:

vertical opposite angles are equal

110=x+114

=-4+114

Answer:

-4 the answer is -4

4.44/37= 0.12

1.80/15= 0.12

3.12/26= 0.12

3.60/30= 0.12

2.16/18= 0.12

1. She donates 12% of her income to charity

2. The quantity, d, would be the better choice for the dependent variable (y) the cost of the donation, depends on her income, if her income increases, the amount donated would increase.

3. d = 0.12m

(my apologize if this is incorrect)

Answer:

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

To find the answer, we have to do 8% of 72.

8% of 72 = 5.76

really thats all whats needed to do the problem

hope this helps :)

Answer:

A)5.76

Step-by-step explanation:

usa test prep

thank you!

Answer:

  12 cm

Step-by-step explanation:

You want the longest possible integer length of the third side of a triangle with sides 4 cm and 9 cm.

The triangle inequality requires the longest side be less than the sum of the other two sides:

  x < 9 cm + 4 cm

  x < 13 cm

The largest integer length less than 13 cm is 12 cm.

The longest possible third side is 12 cm.

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1/4 of cookies

Cost of one cookies =2.95

Total cost

Answer:

$41.3

Step-by-step explanation:

Each cookie costs,

→ a = $2.95

Lemon cookies (1/4) of 56 cookies is,

→ b = 1/4 × 56

→ b = 56/4

→ [ b = 14 lemon cookies ]

The money made if she sell the lemon cookies alone will be,

→ a × b

→ 2.95 × 14

→ $41.3

Hence, the money made is $41.3.

Answer:

Step-by-step explanation:

Since the dilation is centered at the origin, we can multiply each of the coordinates by the scale factor. This gives us that D'(36,0).

Answer:

2143.57cm^3

Step-by-step explanation:

here we know the volume of sphere is 4/3πr^3 and the total volume of the sphere is the required capacity of the sphere to hold the water

Answer:

1/3

Step-by-step explanation:

add all of the totals including the missing pair

we now have 24

7+1 is 8

24 minus 8 is 16

24 can be split into 2 groups of 8

and we have 2/3 left. which makes our solution 1/3

Answer:

brody worked 58 hrs

Answer:

3,969

Step-by-step explanation:

If n is a perfect square, then the last digits of the prefect square must be 3 or 7  because n ends in 9.

Since n is 4 digits the number can only land between 33 and 97.

(33, 37, 43, 47, 53, 57, 63, 67, 73, 77, 83, 87, 93, 97)

squared- 1089, 1369, 1849, 2209, 2809, 3249, 3969, 4486, 5329, 5939, 6889, 7569, 8649, 9409

possible answers- 2209, 3969, 4486, 5939, 6889, 9409

2+2+0+9 = 13

3+9+6+9 = 27

4+4+8+6 = 22

5+9+3+9 = 26

6+8+8+9 = 31

9+4+0+9 = 22

We need volume

So

volume:-

[tex]\\ \rm\rightarrowtail \dfrac{9}{10}\times \dfrac{1}{3}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{3}{10}ft^3[/tex]

Answer:

[tex]a)\ \frac{3}{20}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} \div 5\\\\\frac{3}{4}*\frac{1}{5}\\\\\frac{3}{20}[/tex]

Hope this helps!

Your answer is 3/20

3/4 divided by 5 is 3/20

Hope this helps

Answer:

Step-by-step explanation:

400