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3 years ago

Simplify (7)(-6). a) -42 b) -13 c) 1 d)42

Mathematics

2 answers:

SOVA2 [1]3 years ago

7 0

-42 because 7 times -6 will equal -42 not positive 42

rusak2 [61]3 years ago

6 0

It’s A) simplify it you’ll get -42 because a negative times a positive is an negative

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Rewrite –220° in radians. Write the solution as a fraction in simplest form.

son4ous [18]

Answer:

- $\frac{11\pi }{9}$

Step-by-step explanation:

To convert degrees to radians

radian measure = degree measure × $\frac{\pi }{180}$ , then

radian measure = - 220 × $\frac{\pi }{180}$ ( divide 220 and 180 by 20 )

= - $\frac{11\pi }{9}$

7 0

3 years ago

3 cups a b c contain only salt and water the different mixtures are a salt:water 3:22 b Salt 1/8 c salt 12.75% what cup has the

ddd [48]

Answer:

Cup A

Step-by-step explanation:

Cup A

Salt: Water = 3:22

Expressed as a percentage

$\dfrac{3}{22} \times 100 = 13.6\%$

Proportion of Salt =13.6%

Cup B

Salt: Water = 1:8

Expressed as a percentage

$\dfrac{1}{8} \times 100 = 12.5\%$

Proportion of Salt =12.5%

Cup C

Proportion of Salt = 12.75%

Therefore, Cup A has the greatest proportion of salt.

7 0

3 years ago

Which relation is also a function?

hoa [83]

It’s d bec each x has one input

6 0

3 years ago

Determine for which values of m the function variant Φ(x) = x^m is a solution to the given equation. a. 3x^2 (d^2y/dx^2) + 11x(d

miv72 [106K]

Answer:

a) m = -9 or m = 1

b) m = 1 + √6 or m = 1 -√6

Step-by-step explanation:

for

Φ(x) = x^m

then

dΦ/dx (x) = m*x^(m-1)

d²Φ/dx² (x) = m*(m-1)*x^(m-2)

then

for a

3x^2 (d^2y/dx^2) + 11x(dy/dx) - 3y = 0

3x^2*m*(m-1)*x^(m-2) + 11*x* m*x^(m-1) - 3*x^m = 0

3*m*(m-1)*x^m + 11*m*x^m- 3*x^m = 0

dividing by x^m

3*m*(m-1) + 11*m - 3 =0

3*m² + 8 m - 3 =0

m= [-8 ± √(64 + 4*3*3)]/2 = (-8±10)/2

m₁ = -9 , m₂= 1

then Φ(x) = x^m is a solution for the equation a , when m = -9 or m = 1

for b)

x^2 (d^2y/dx^2) - x(dy/dx) - 5y = 0

x^2*m*(m-1)*x^(m-2) - x* m*x^(m-1) - 5*x^m = 0

m*(m-1)*x^m -m *x^m- 5*x^m = 0

dividing by x^m

m*(m-1) -m - 5 =0

m² - 2 m - 5 =0

m= [2 ± √(4 + 4*1*5)]/2 = (2±√24)/2 = 1 ±√6

m₁ = 1 + √6 , m₂ = 1 - √6

then Φ(x) = x^m is a solution for the equation b , when m = 1 + √6 or m = 1 - √6

7 0

3 years ago

Read 2 more answers

What is the value of the expression |48÷(-6)|+|-35÷7|

Lostsunrise [7]

The brackets make the answer positive so you were just do 48÷6 which is 8and then 35÷7 which is five and you add 8+5 and you get 13

8 0

3 years ago