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2 years ago

Help me plz add or subtract the following fraction answer the lowest terms.

1 answer:

3 0

1. =4/16 which in simplified terms = 1/4

2. = 37/99 (find the lowest common denominator which is 99 then multiply them, then combine fractions then subtract them)

3. 2/25

4. 12/18 which simplified is 2/3

5. 5/15 which simplified = 1/3

Hope you understand that:)

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In what direction is the line containing the points (1,7) and (10, 15) going?

Gala2k [10]

Answer:

A) Up and to the right

Step-by-step explanation:

On a graph, the direction of the line with points $(1,7)$ and $(10, 15)$ is going up to the right.

8 0

3 years ago

Find the derivative of <img src="https://tex.z-dn.net/?f=tan%5E%7B-1%7D%20x" id="TexFormula1" title="tan^{-1} x" alt="tan^{-1} x

sladkih [1.3K]

$\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}$

$\frak {\huge{ \frac{1}{1 + {x}^{2} } }}$

Step-by-step explanation:

$\sf let \: f(x) = { \tan }^{ - 1} x \\ \\ \sf f(x + h) = { \tan}^{ - 1} (x + h)$

$\sf f'(x) = \frac{f(x+h) - f(x) }{h}$

$\sf \implies \lim_{ h \to 0 } \frac{ { \tan }^{ - 1}(x + h) - { \tan}^{ - 1}x }{h} \\ \\ \\ \sf \implies \lim_ {h \to 0} \frac{ { \tan}^{ - 1} \frac{x + h - x}{1 + (x + h)x} }{h}$

By using

$\sf { \tan}^{ - 1} x - { \tan}^{ - 1} y = \\ \sf { \tan}^{ - 1} \frac{x - y}{1 + xy} formula$

$\sf \implies \large \lim_{h \to0 } \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{h} \\ \\ \\ \sf \implies \large{\lim_{h \to0} } \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{ \frac{h}{1 + hx + {x}^{2} } \times (1 + hx + {x}^{2} )} \\ \\ \\ \sf \implies \large \lim_{h \to0} \frac{ { \tan}^{ - 1} \frac{h}{1 + hx + {x}^{2} } }{ \frac{h}{1 + hx + {x}^{2} } } + \lim_{h \to0} \frac{1}{1 + hx + {x}^{2} }$

Now putting the value of h = 0

$\sf \large \implies 0 + \frac{1}{1 + 0 + {x}^{2} } \\ \\ \\ \purple{ \boxed { \implies \frac{1}{1 + {x}^{2} } }}$

6 0

1 year ago

round 47,125 to the nearest ten, to the nearest hundred ,to the nearest thousand and the nearest ten thousand

wariber [46]

Nearest ten is 47,126
nearest hundered 47,120
nearest thousand 47,100
and nearest ten thousand is 50,000

4 0

2 years ago

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Mike is building storage boxes. Each box will have a length of 5 feet, a width of 412 feet, and a height of 312 feet. A pint of

alex41 [277]

The pints of paint that Mike needs to buy in order to paint 4 boxes is 9 pints.

How many pints is needed?

The first step is determine the total surface area of a box.

Total surface area of a cuboid = 2 (lw + wh + lh)

where:
l = length
w = width
h = height

2 x[ (5 x 9/2) + (9/2 x 7/2) + (5 x 7/2) ]
2 x ( 45/2 + 63/4 + 35/2) = 111.5ft

The second step is to determine the total surface area of 4 boxes:

111.5 x 4 = 446

Now, divide 446 by 50

446 / 50 = 9 pints

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1 year ago

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What is an ecosystem

klemol [59]

An ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows. ... Ecosystems are controlled by external and internal factors.

4 0

2 years ago

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