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3 years ago

Please help question is in image

Mathematics

1 answer:

Harrizon [31]3 years ago

4 0

Answer:

The equation log x = 100 is another way of writing 10x = 100.

Step-by-step explanation:

This makes it possible to take away logarithms from an equation. If the equation contains more than one logarithm, they must have the same base for this to work.

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I need your help again guys!

solmaris [256]

ANSWER

$x = 13$

EXPLANATION

Use the Pythagoras Theorem to obtain,

${x}^{2} = {12}^{2} + {5}^{2}$

This implies that,

${x}^{2} = 144 + 25$

${x}^{2} = 169$

Take the positive square root of both sides to get,

$x = \sqrt{169}$

$x = 13$

8 0

3 years ago

Read 2 more answers

The temperature is -3 F at 7:00 am During the next 4 hours the temperature increases 21 F. What is the temperature at 11:00am ?

telo118 [61]

Now what you want to do is 21 + (-3). Since this is the same as saying 21 - 3, the answer is 18. Therefore, the answer is 18°F.

4 0

3 years ago

Please help! <br> Express 35 marks out of 40 as a percentage.

Blizzard [7]

Answer:

$\huge\boxed{\sf 87.5 \ \%}$

Step-by-step explanation:

35 marks out of 40<u> as a fraction:</u>

35 / 40

<u>As a percentage:</u>

<u></u> $\sf \frac{35}{40} * 100 \ \%\\\\0.875 * 100 \ \%\\\\87.5 \ \%\\\\\rule[225]{225}{2}$

Hope this helped!

7 0

2 years ago

Simplify the expression: 4x+2+12x+17

Anna71 [15]

4x + 2 + 12x + 17

= 4x + 12x + 2 + 17

= 16x + 19

8 0

3 years ago

Read 2 more answers

A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where

marta [7]

Answer:

$Height =3$

Step-by-step explanation:

Given

$Length = x + 2$

$Width = x - 2$

$Height = x$

$Volume = 15$

Required

Find the height

The volume is calculated as thus:

$Volume = Length * Width * Height$

This gives

$15 = (x + 2) * (x - 2) * x$

Apply difference of two squares

$15 =(x^2 - 4 ) * x$

$15 = x^3 - 4x$

Subtract 15 from both sides

$x^3 - 4x - 15 = 0$

Using a calculator to factorize, we have:

$(x-3)(x^2+3x+5) = 0$

Split

$x - 3 = 0$ or $x^2 + 3x + 5 = 0$

$x = 3$ or $x^2 + 3x + 5 = 0$

x has complex roots for $x^2 + 3x + 5 = 0$

Hence:

$x = 3$

Recall that:

$Height = x$

$Height =3$

3 0

2 years ago