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3 years ago

HELP!

Mathematics

2 answers:

Sloan [31]3 years ago

5 0

Answer:

Answer choice C

Step-by-step explanation:

When the values of x are greater than 2, the solution works. When the values oclf x are less than 3, the solution also works. :)

gtnhenbr [62]3 years ago

4 0

Answer:

Step-by-step explanation:

Inequalities of the form | x | > a have solutions of the form

x < - a OR x > a, thus

2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both )

2x < - 6 OR 2x > 4 ( divide both sides of both by 2)

x < - 3 OR x > 2

Solution set is

{ x | x > 2 or x < - 3 } → C

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It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2

Sonbull [250]

Answer:

15 g.

Step-by-step explanation:

The following data were obtained from the question:

Heat required (Q) = 350 J

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Specific heat capacity (C) = 1.2 J/g°C

Mass (M) =..?

Next, we shall determine the change in temperature.

This is illustrated below:

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Change in temperature (ΔT) =..?

Change in temperature (ΔT) = T2 – T1

Change in temperature (ΔT) = 30 – 10

Change in temperature (ΔT) = 20 °C

Finally, we shall determine the mass of the substance as follow:

Heat required (Q) = 350 J

Specific heat capacity (C) = 1.2 J/g°C

Change in temperature (ΔT) = 20 °C

Mass (M) =.?

Q = MCΔT

350 = M x 1.2 x 20

Divide both side by 1.2 x 20

M = 350 / (1.2 x 20)

M = 14.5 ≈ 15 g

Therefore, the mass of the substance is

15 g.

5 0

3 years ago

what is the equation of the line that is parallel to 6x-2y=4+6y and passes through the point (8, -16)?

Alisiya [41]

Answer:

$y=\frac{3}{4}x-22$

Step-by-step explanation:

We are given;

The equation of a line 6x-2y=4+6y
A point (8, -16)

We are required to determine the equation of a line parallel to the given line and passing through the given point.

One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

6y + 2y = 6x-4

8y = 6x -4

We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

We take a point (x, y) and the point (8, -16) together with the slope;

That is;

$\frac{(y--16}{x-8}=\frac{3}{4}$

$4(y+16)=3(x-8)\\4y + 64 = 3x - 24\\4y=3x-88\\ y=\frac{3}{4}x-22$

Thus, the equation required is $y=\frac{3}{4}x-22$

4 0

3 years ago

Jordan has $40 to spend at the yard sale. He buys 6 books for $2 each. He would like to spend the rest of his money on model car

Deffense [45]

Answer:

He can buy 4 model cars

Step-by-step explanation:

∵ His total money = the cost of books + the cost of model cars

∵ He buys 6 books and the price of each book is $2

∵ The cost of each model car is $7 , let the number of model cars is c

∵ He has $40

∴ 6 × 2 + 7 × c = 40

∴12 + 7c = 40

∴ 7c = 40 - 12 = 28

∴ c = 28/7 = 4

∴ He can buy 4 model cars

5 0

3 years ago

What's the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B1%20%5Ctimes%201%7D%20" id="TexFormul

arsen [322]

Answer:

Step-by-step explanation:

1st step : multiple the number inside square root

1 x 1 =1

so then think about which time 1 will give you 1

that will 1

6 0

3 years ago

Read 2 more answers

A baseball diamond is a square with 90 feet between bases about how many yards does a player run after hitting a home run?

tekilochka [14]

If the [player runs between 4 bases and 90 each, you do 4*90, which is 360 feet. Since this is in yards, divide by 3. The answer is 120 yards.

4 0

4 years ago