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3 years ago

Hello there!

Mathematics

1 answer:

otez555 [7]3 years ago

7 0

Answer:

24 Domain: s>=2 or s<=-2

25. 3x^2 +14x +10

26. x^2 -2x+5

Step-by-step explanation:

24. Domain is the input or s values

square roots must be greater than or equal to zero

s^2-4 >=0

Add 4 to each side

s^2 >=4

Take the square root

s>=2 or s<=-2

25. f(g(x)) stick g(x) into f(u) every place you see a u

f(u) = 3u^2 +2u-6

g(x) = x+2

f(g(x) = 3(x+2)^2 +2(x+2) -6

Foil the squared term

= 3(x^2 +4x+4) +2x+4-6

Distribute

= 3x^2 +12x+12 +2x+4-6

Combine like terms

=3x^2 +14x +10

26 f(g(x)) stick g(x) into f(u) every place you see a u

f(u) = u^2+4

g(x) = x-1

f(g(x) = (x-1)^2 +4

Foil the squared term

= (x^2 -2x+1) +4

= x^2 -2x+5

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Solve ln 2 + ln x = 5. Round to the nearest thousandth, if possible.

azamat

Answer:

The value of x nearest to thousandths is, 74.207

Step-by-step explanation:

Solve : $\ln 2 + \ln x = 5$

$\ln$ represents the logarithmic function with base e.

Using logarithmic properties:

$\ln (mn) = \ln m + \ln n$

$\ln x = a$ , then $x = e^a$

$\ln 2 + \ln x = 5$

Apply the logarithmic properties; we have

$\ln 2x = 5$

then;

$2x = e^5$

$2x=148.41315910258$

Divide both sides by 2 we get;

$x = 74.2065796$

Therefore, the value of x nearest to thousandths is, 74.207

3 0

3 years ago

Five and fifty-six<br> thousandths in decimal form

Lerok [7]

Answer:

0.056

Step-by-step explanation:

:) hope this helps

3 0

2 years ago

Read 2 more answers

A scale map says that 1 cm represents 10 km. What distance on the map (in centimeters) represents an actual distance of 360 km?

castortr0y [4]

Answer:

36 cm

Step-by-step explanation:

1cm = 10 km

360km/10km=36

1x36=36

8 0

3 years ago

Sheldon picked 4 4/10 kg but 15 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten?

nataly862011 [7]

Answer:

10.6 kg

Step-by-step explanation:

first convert 4 4/10 to kg

4/10 is equal to .4

so 4.4kg were rotten

subtract from total

15-4.4=10.6 kg

3 0

3 years ago

HELP!!!!!

Sonja [21]

First off, let's convert the decimal to a fraction, notice, we have two decimals, so we'll use in the denominator, a 1 with two zeros then, two decimals, two zeros, thus $\bf 1.\underline{75}\implies \cfrac{175}{1\underline{00}}\implies \cfrac{7}{4}\implies \stackrel{ratio}{7:4}$

now, we know then the ratio dimensions for the new photograph,

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\cfrac{7}{4}\implies \cfrac{4+3}{4}\implies \cfrac{4}{4}+\cfrac{3}{4}\implies 1+\boxed{\cfrac{3}{4}}\impliedby \textit{perimeter is }\frac{3}{4}\textit{ larger}
\\\\\\
\stackrel{areas'~ratio}{\cfrac{s^2}{s^2}}\implies \cfrac{3^2}{4^2}\implies \cfrac{9}{16}\impliedby \textit{area is }\frac{9}{16}\textit{ larger than original}$

6 0

3 years ago