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3 years ago

The length, width and height of a rectangular prism is given as 15 cm, 10

Mathematics

2 answers:

aliina [53]3 years ago

7 0

Answer:

Its option C

Step-by-step explanation:

to find the volume you multiply the length, width and height together.

Degger [83]3 years ago

5 0

C is the correct answer.

Why?

Volume is calculated by multiplying a, b and c
V = a x b x c
V= 15 cm x 10 cm x 5 cm
V= 750cm^3

Do note that since we are finding the volume, the proper measurement would be cm^3

You might be interested in

The Morales family is remodeling their home. They want to remove the wall between the living room. and dining room to make one b

GuDViN [60]

Answer:

Area of living room

= 20(x+5)

= 20x +100

Area of dining room= 20x

Total area

= 20x +100 +20x

= 40x +100

Total perimeter (after wall is removed)

= 2(20) + 2( x+x+5)

= 40 + 2(2x+5)

= 40 +4x +10 (expand)

= 4x +50 (simplify)

Step-by-step explanation:

Area of rectangle= length × breadth

3 0

3 years ago

Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.

IRINA_888 [86]

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

8 0

3 years ago

Darren wanted to see how contagious yawning can be. To better understand this, he conducted a social experiment in which he yawn

denis23 [38]

Answer:

10.5 minutes

Step-by-step explanation:

Thinking about the problem

The modeling function is of the form P(t)=A⋅Bf(t), where B=4B=4B, equals, 4 and f(t)=\dfrac{t}{10.5}f(t)=

10.5

f, left parenthesis, t, right parenthesis, equals, start fraction, t, divided by, 10, point, 5, end fraction.

Note that each time f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111, the quantity is multiplied by B=4B=4B, equals, 4.

Therefore, we need to find the ttt-interval over which f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111.

Hint #22 / 3

Finding the appropriate unit interval

fff is a linear function whose slope is \dfrac{1}{10.5}

10.5

start fraction, 1, divided by, 10, point, 5, end fraction.

This means that whenever ttt increases by \Delta tΔtdelta, t, f(t)f(t)f, left parenthesis, t, right parenthesis increases by \dfrac{\Delta t}{10.5}

10.5

Δt

start fraction, delta, t, divided by, 10, point, 5, end fraction.

Therefore, for f(t)f(t)f, left parenthesis, t, right parenthesis to increase by 111, we need \Delta t=10.5Δt=10.5delta, t, equals, 10, point, 5. In other words, the ttt-interval we are looking for is 10.510.510, point, 5 minutes.

Hint #33 / 3

Summary

The number of people who yawned quadruples every 10.510.510, point, 5 minutes.

7 0

4 years ago

Researchers wanted to see which species of lizard (A, B, or C) is most likely to survive a bacterial infection. So they infected

Slav-nsk [51]

Answer:

A) attached below

B) 0.61

C) 0.47

Step-by-step explanation:

Given data:

Total number of lizards infected = 38

Of the 15 species B lizards 40% survived

For specie C one more survived than died

Out of the 24 lizards that died 1/3 were species A

A) contingency table

attached below

B) Determine the proportion of these lizards in this study that were either specie A or Specie B

P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61

C) determine the probability that specie C lizard did not study

P ( not surviving | C ) = 7 / 15 = 0.466 ≈ 0.47

7 0

3 years ago

A restaurant has 50 tables. 40% of the tables have 2 chairs at each table. The remaining 60% of the tables have 4 chairs at each

liubo4ka [24]

Answer:

Total number of chairs in the restaurant = 160.

Step-by-step explanation:

Total number of tables in the restaurant = 50

It is given that 40% of the tables have 2 chairs at each table.

40% of 50 = $\frac{40}{100} (50)$

= 20

So, 20 tables have 2 chairs at each table.

Number of chairs required for 20 tables = 20 × 2 = 40

Remaining 60% of the tables have 4 chairs at each table.

60% of 50 = $\frac{60}{100} (50)$

= 30

So, 30 tables have 4 chairs at each table.

Number of chairs required for 30 tables = 30 × 4 = 120

Hence, total number of chairs in the restaurant = 40 + 120 = 160.

5 0

3 years ago