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fenix001 [56]
3 years ago
7

What is -14+5k-3= simplifying​

Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

Answer:

5k-17

Step-by-step explanation:

-14+5k-3=5k-14-3=5k-17

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A psychologist has a taxable income of 59450 last year. If he paid 10% of his income between $0 and $8350, 15% of his income bet
Vsevolod [243]
D. Multiply each rate by the range of each section.

NOTE: Do not multiply by the high amount, but rather the range of numbers within it. 
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3 years ago
When is the product of two nonzero integers less than or equal to both of the two factors
Sergeu [11.5K]
1) if they're both 1:

1 x 1 = 1: they preoduct is equal to both factors!

2) if one of them is negative (but not 2!)

for example: -2 and 6: the product is -12, and it's less than both -2 and  6!!!
5 0
3 years ago
Does anyone know how to solve this? It’s really starting to stress me out.
bekas [8.4K]

Answer:

π − 12

Step-by-step explanation:

lim(x→2) (sin(πx) + 8 − x³) / (x − 2)

If we substitute x = u + 2:

lim(u→0) (sin(π(u + 2)) + 8 − (u + 2)³) / ((u + 2) − 2)

lim(u→0) (sin(πu + 2π) + 8 − (u + 2)³) / u

Distribute the cube:

lim(u→0) (sin(πu + 2π) + 8 − (u³ + 6u² + 12u + 8)) / u

lim(u→0) (sin(πu + 2π) + 8 − u³ − 6u² − 12u − 8) / u

lim(u→0) (sin(πu + 2π) − u³ − 6u² − 12u) / u

Using angle sum formula:

lim(u→0) (sin(πu) cos(2π) + sin(2π) cos(πu) − u³ − 6u² − 12u) / u

lim(u→0) (sin(πu) − u³ − 6u² − 12u) / u

Divide:

lim(u→0) [ (sin(πu) / u) − u² − 6u − 12 ]

lim(u→0) (sin(πu) / u) + lim(u→0) (-u² − 6u − 12)

lim(u→0) (sin(πu) / u) − 12

Multiply and divide by π.

lim(u→0) (π sin(πu) / (πu)) − 12

π lim(u→0) (sin(πu) / (πu)) − 12

Use special identity, lim(x→0) ((sin x) / x ) = 1.

π (1) − 12

π − 12

3 0
3 years ago
Consider the following set of equations, where s, s0, x and r have units of length, t has units of time, v has units of velocity
Anna11 [10]

Answer:

5

Step-by-step explanation:

For an equation to be dimensionally correct the dimension of quantities on both sides of equation must be same.

Also, two physically quantities can only be added or subtracted only when their dimension are same.

here all option are dimensionally correct except the 5th option where

dimension of t= [T] whereas dimension of a/v is \frac{LT^{-2}}{LT^{-1}}

= T^{-1}

since, the dimension of quantities on either sides of equation are not the same the equation is dimensionally is incorrect.

8 0
3 years ago
A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the
STALIN [3.7K]

Answer:

The width of rectangle is W=\frac{108}{13}\ cm  or  8\frac{4}{13}\ cm

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

P=26\ cm\\L=(x+4)\ cm\\W=12x\ cm

substitute

26=2(x+4+12x)

solve for x

26=2(13x+4)

26=26x+8

26x=26-8

26x=18

x=\frac{18}{26}

simplify

x=\frac{9}{13}

<em>Find the width of rectangle</em>

W=12x\ cm

substitute the value of x

W=12(\frac{9}{13})=\frac{108}{13}\ cm

Convert to mixed number

\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm

7 0
3 years ago
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