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2 years ago

10)

Mathematics

1 answer:

4vir4ik [10]2 years ago

3 0

Answer:

the volume of the cube will be 44 cm³ or D (nearest whole number)

Step-by-step explanation:

A cube has equal size of edges. Since it has a face diagonal of 5cm then using Pythagoras theorem s²+ s²= 5², where s is the side of the cube.

Therefore, 2s²=25

s²= 12.5

s = √12.5 = 3.536 cm

The volume of a cube is s³ (s×s×s) = 3.536³= 44.212 cm³,

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BRAINLIEST ASAP! PLEASE HELP ME :)

Afina-wow [57]

Answer:

$\large \boxed{\textbf{30.54 yr}}$

Step-by-step explanation:

For species A,

$P =2000e^{0.05t}$

For species B,

$P =5000e^{0.02t}$

When their populations are equal,

$\begin{array}{rcl}2000e^{0.05t} & = & 5000e^{0.02t}\\e^{0.05t} & = & 2.5e^{0.02t}\\0.05t & = & \ln2.5 + 0.02t\\0.05t & = & 0.9163 + 0.02t\\0.03t & = & 0.9163\\t& = & \dfrac{0.9163}{0.03}\\\\& = & \mathbf{30.54}\\\end{array}\\\text{The populations of species A and B will be the same in $\large \boxed{\textbf{30.54 yr}}$}$

The diagram below shows the population of Species A overtaking that of Species B in about 30.5 yr.

3 0

4 years ago

The Apple harvest produced 2,350kg of Apple's. A farmer packs 36 apples in the box. One apple weighs approximately 250 grams how

jenyasd209 [6]

Answer:

Step-by-step explanation:

The total number of apples produced at the apple harvest is 2,350kg.

1 kg = 1000 grams. Therefore,

2350 kg = 2350 × 1000 = 2350000kg

A farmer packs 36 apples in the box. If one apple weighs approximately 250 grams, the total weight of 36 apples would be

36 × 250 = 9000 grams

Therefore, the number of boxes that are needed to pack the apples would be

2350000/9000 = 261.11

It means that 262 boxes would be needed.

5 0

3 years ago

The students in a class and the teacher visited a park on a field trip. The students were taught how to plant seeds, and the tea

drek231 [11]

The answer is B because the teacher is keeping count of the seeds that EACH student plants

6 0

3 years ago

Read 2 more answers

Find (a) the number of subsets and (b) the number of proper subsets of the set.

vaieri [72.5K]

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

Total No. of Subsets = 128

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

Total No. of Proper Subsets = 127

3 0

3 years ago

Subtract (5x+3) -(x+2) A. 4x+1 B. 5x+5 C. 4x+5 D. 5x+1

miss Akunina [59]

Answer:

4x+1

Step-by-step explanation:

Collect the like therms and then substract the numbers

3 0

3 years ago