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salantis [7]
3 years ago
12

Write a function to describe the following scenario.

Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

Below.

Step-by-step explanation:

Temperature after 1 minute = 140 - 5(1)

Temperature after 2 minutes = 140 - 5(2)

Temperature after 3 minutes = 140 - 5(3),

- and so on.

So the function is

y = 140 - 5x.

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Can someone help me with this
zimovet [89]

Answer:

Step-by-step explanation:

It pretty simple, you need to read the sentence and match the number.

Ex:

Seven more than one half = 7 more than 1/2

= 7+ 1/2

Because ‘more’ shows that you’re adding

While difference shows you’re subtracting

Quotient shows you’re dividing

And product shows you’re multiplying

And when it refers to ‘a number’ it means your variable which in this case is ‘n’.

6 0
3 years ago
The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
5q greater than or equal to 8q -3/2
kakasveta [241]

5q ≥ 8q - 3/2

<em><u>Add 3/2 to both sides.</u></em>

3/2 + 5q ≥ 8q

<em><u>Subtract 5q from both sides.</u></em>

3/2 ≥ 3q

<em><u>Multiply both sides by 2.</u></em>

3 ≥ 6q

<em><u>Divide both sides by 6.</u></em>

0.5 ≥ q.

The value of q is less than or equal to 0.5.

8 0
3 years ago
What expression is 3(x-6)2 - 2(x-1) equivalent to ?
hjlf

Answer:

4x-34

Step-by-step explanation: simplify to find your answer

5 0
3 years ago
Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?
Sonja [21]

Answer:

Second option: (-2,-3) and (1,0)

Step-by-step explanation:

Given the system of equations \left \{ {{y = x^2 + 2x-3} \atop {y = x - 1}} \right., you can rewrite them in this form:

x^2 + 2x-3= x - 1

Simplify:

x^2 + 2x-3-x+1=0\\\\x^2+x-2=0

Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

(x+2)(x-1)=0\\\\x_1=-2\\\\x_2=1

Substitute each value of "x"  into any of the original equation to find the values of "y":

y_1= (-2) - 1=-3\\\\y_2=(1)-1=0

Then, the solutions are:

(-2,-3) and (1,0)

7 0
3 years ago
Read 2 more answers
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