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coldgirl [10]
3 years ago
14

Write minimal negations for the following statements. (In other words, if the statement below is P, what would ¬P mean?) a) Ever

ybody was kung-fu fighting for at least 10 hours. b) There is a river with at least two tributarie
Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Answer:

a) Somebody was kung-fu fighting for less than 10 hours.

b) All rivers have less than two tributaries.

Step-by-step explanation:

To write minimal negation statements, one must abide by the following rules:

1. If all Xs are Y ⇒ There is one X that is not Y

2. If one X has Y⇒ All Xs do not have Y

a) "Everybody was kung-fu fighting for at least 10 hours"

Following the first rule:

Somebody was kung-fu fighting for less than 10 hours.

b) "There is a river with at least two tributaries"

Following the second rule:

All rivers have less than two tributaries.

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andrew-mc [135]

Answer:

Translate the expression

NO answering with links !!!

1) ten subtracted from the product of a number and -3 is 29

2) the difference between a number and nine , divided by 4 , is -7

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4 years ago
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What is the equation of the line that is parallel to y=4/7x-3 and passed through (14,4)?
lesantik [10]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{4}{7} x - 3 is in this form

with slope m = \frac{4}{7}

• Parallel lines have equal slopes, hence

y = \frac{4}{7} x + c ← is the partial equation

To find c substitute (14, 4) into the partial equation

4 = 8 + c ⇒ c = 4 - 8 = - 4

y = \frac{4}{7} x - 4 ← equation of parallel line

3 0
3 years ago
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Which equation represents the line shown?
aleksandrvk [35]

Answer:

the first option

Step-by-step explanation:

okay so the line passes through the 2 on the y-axis making it the y-intercept

that means you can eliminate the second and third options

now to find the slope, you can use rise over run (y2-y1/x2-x1)

3-2/3-0 = 1/3

so the slope is 1/3

all together, the equation would be:

f(x) = 1/3x + 2

so the answer is the first option

4 0
4 years ago
Find the volume of the composite figure below
Marina86 [1]

Answer:

1386 in³

Step-by-step explanation:

Volume of the composite cone = volume of a hemisphere + volume of a cone

=>Find the volume of cone

Volume of cone = ⅓πr²h

π = 3.142

r = 7 in

h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]

h = √(225 - 49)

h = √176 ≈ 13 in

Volume of cone = ⅓*3.142*7²*13

= ⅓*2001.454 ≈ 667 in³

=>Find volume of hemisphere.

Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³

π = 3.142

r = 7 in

Volume = ⅔*3.142*7³ ≈ 719 in³

<em>Volume of composite figure = 667+719 = 1386 in³</em>

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5Ea%3Dy%5Eb%3Dz%5Ec%20%5C%5Cxyz%3D1%5C%5Cab%2Bbc%2Bca%3D%3F" id="TexFormula1" title="x^a=y^b
SashulF [63]

Answer:

<em>ab+bc+ca=0</em>

Step-by-step explanation:

We are given:

x^a=y^b=z^c

xyz=1

Separating equations:

x^a=z^c

y^b=z^c

Solving the first equation for x:

\displaystyle x=z^\frac{c}{a}

Solving the second equation for y:

\displaystyle y=z^\frac{c}{b}

Substituting in

xyz=1:

\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1

Adding the exponents:

\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1

Since 1=z^0:

\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0

The base is z on both sides so we get rid of them:

\displaystyle \frac{c}{a}+\frac{c}{b}+1=0

Multiplying by ab:

bc+ac+ab=0

Reordering:

ab+bc+ca=0

5 0
3 years ago
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