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2 years ago

Evaluate the expression when a = 4, b=8 and c=12 4(a+b)-c

Mathematics

1 answer:

a_sh-v [17]2 years ago

4 0

Answer:

Step-by-step explanation:

4(a+b)-c

4(4)+4(8)=16+32-12

48-12=36

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1. Which are true of x = log10 31,500? Select all that apply.

ziro4ka [17]

Given:

$x=\log_{10}31,500$

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

$x=\log_{10}31,500$

It can be written as

$x=\log_{10}(2^23^25^37)$

$x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)$ $[\because \log(ab)=\log a+\log b]$

$x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)$

$x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451$

$x=4.49835$

Clearly, the value of x lies between 4 and 5. So, $x>4$ and $x$ .

Therefore, the correct options are C and D.

4 0

3 years ago

Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.

andrew11 [14]

Answer: 14.32 units

Step-by-step explanation:

The formula for calculate the distance between two points is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, given the points (-2,8) and (11,2), we can identify that:

$x_2=11\\x_1=-2\\\\y_2=2\\y_1=8$

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

$d=\sqrt{(11-(-2))^2+(2-8)^2}\\\\d=14.32\ units$

7 0

3 years ago

A clock face a circumference of 166 cm. what is the diameter

Ratling [72]

Answer: Approximately 52.87 cm.

Step-by-step explanation:

Circumference is diameter times pie to divide the circumference by pie.

166/3.14 use 3.14 as an approximation for pie.

166/3.14 = 52.87 rounded to the nearest hundredth

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3 years ago

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o-na [289]

Answer:

$total \: angle \: for \: a \: triangle = 180 \\ then \: \\ 3x + 11 + 9x - 16 + 7x - 5 = 180 \\ 19x - 10 = 180 \\ 19x = 180 + 10 \\ 19x = 190 \\ x = \frac{190}{19} = 10 \\ thank \: yo$

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2 years ago

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Simplify. 4n + 6 + 1k – 4 + 5n - 1k

adelina 88 [10]

The answer is 9n+2,,,

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3 years ago

Evaluate the expression when a = 4, b=8 and c=12 4(a+b)-c​

Evaluate the expression when a = 4, b=8 and c=12 4(a+b)-c