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vivado [14]
2 years ago
6

Colin has an ice cube tray with 12 identical compartments. Each compartment is a prism that is 4 centimeters long, 3 centimeters

long, and 3 centimeters high. Given that 1 cubic centimeter holds 1 milliliter of water, how many milliliters of water can the trey hold?
Mathematics
1 answer:
77julia77 [94]2 years ago
5 0

Answer:

36ml

Step-by-step explanation:

volume = A×h

here A = base area

A = 4cm × 3cm = 12cm²

h= 3cm

volume = A× h= 12cm²× 3cm = 36cm³

36cm³ can hold 36 ml of water.

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Write an exponential function to model the following situation
Dominik [7]

Answer:

y = 140000(1.04)^{x}; 262 000

Step-by-step explanation:

The general formula for an exponential function is

y = a(b)^{x}

a = 140 000; b = 1.04; x = 16

y = 140000(1.04)^{x}

y = 140 000(1.04)¹⁶

y = 140 000 × 1.873

y = 262 000

The graph below shows the population growth over time.

7 0
3 years ago
Correct answers only please!
MrRissso [65]

Answer:

23.6°

Step-by-step explanation:

In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

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

10 = Hypotenuse

4 = Opposite

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

We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.

Now we substitute in the values to find the value of angle XVW

Sin⁻¹ = Opposite ÷ Hypotenuse

Sin⁻¹ = 4 ÷ 10

The value of angle XVW is 23.57817848

6 0
2 years ago
Which function has the domain x greater-than-or-equal-to negative 11?
alukav5142 [94]

Answer: A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
$700 is invested at 4% per annum. How long will it take for the amount to reach $784?​
Blababa [14]

Answer:

3yrs

Step-by-step explanation:

Given parameters:

Capital = $700

Percentage interest  = 4% per annum

Unknown:

Time it will take for amount to be  = $784

Solution:

To find the simple interest on an amount;

        I = \frac{PRT}{100}

P is the principal

R is the rate

T is the time

I is the interest

    Insert the parameters:

        I  = \frac{700x 4 x T}{100}

        I = 28T

So;

   At the end of the duration:

       Principal + Interest  = Amount

          700+28T = 784

                   28T = 784 - 700

                   28T = 84

                       T = 3yrs

5 0
2 years ago
Follow the steps to finish solving the equation –3x + 18 = 7x.
marta [7]
-3x + 18 = 7x
3x + (-3x) + 18= 7x + 3x
18 = 10x

18 10x
— = —
10 10


1.8 = x
4 0
3 years ago
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