MATHEMATICS HIGH SCHOOL

-2 divided -0.25
4 divided 0.5

Answers

Answer 1
Answer:

Answer:

-2/-0.25=8

4/0.5=8

Step-by-step explanation:

both of their answers are 8
Answer 2
Answer: - 2 divided by -0.25
4 divided by 0.5
Both of them equal 8

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Which is the value of this expression when a = 5 and k=-2?*
32a-2
75
9
* 25
25
9
75

Answers

The value of the expression  ((3^(2)a^(-2) )/(3a^(-1) ) )^(k) when a = 5 and k = -2 is (25)/(9)

How to substitute and get the value of an expression?

The expression is as follows:

((3^(2)a^(-2) )/(3a^(-1) ) )^(k)

using law of indices

Hence,

when a = 5, k = -2

((3^(2)a^(-2) )/(3a^(-1) ) )^(k) = ((9(5^(-2) ))/(3(5^(-1) )))^(-2)

Then,

((9(5^(-2) ))/(3(5^(-1) )))^(-2)=(((9)/(25) )/((3)/(5) ) )^(-2)

(((9)/(25) )/((3)/(5) ) )^(-2)=((9)/(25) ((5)/(3)))^(-2)

((9)/(25) ((5)/(3)))^(-2)=((3)/(5))^(-2)

((3)/(5))^(-2)=(25)/(9)

Therefore, the value of the expression is 25 / 9

learn more on expression here:brainly.com/question/12879207

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Answer: it’s A

Step-by-step explanation: I got it right, hope it helps ✨

Sonny substituded 5 for x in the proportion 16/x =48/15 and cross to multiply to get 240 =240 why is this?

Answers

If x = 5 then 5*48 = 240 and 16*15 equals 240 equals eachother.

Another perspective:   Divide 16 by 5  then divide 48/15

        16/5=3.2         48/15=3.2      Hence the porportions are the same.

If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

Answers

Answer:

Length of arc of a circle is given by:

L = r \cdot \theta     .....[1]

where

L is the length of an arc

r is the radius of  the circle.

As per the statement:

Diameter of the circle(D) = 6 inches.

we know that:

D  =2r

6 = 2r

Divide both sides by 2 we get;

3 = r

or

r = 3 inches

We have to find the long arc arc subtended by an angle measuring 70°.

Substitute the value of r = 3 inches and \theta = 70^(\circ) in [1] we have;

L =3 \cdot 70

Simplify:

L = 210 inches

Therefore, 210 inches long is the arc subtended by an angle measuring 70 degree.
C = πD = π6in

Arc = D * 70°/360° = 3.1416*6*7/36=3.67 in

Apples lose 85% of their weight while drying. What weight of fresh apples do you need to pick in order to get 10.5 lb of dried apples?

Answers

Answer:

70\ lb

Step-by-step explanation:

Let

x------>  weight of fresh apples

we know that

85\%=(85)/(100)=0.85

(1-0.85)x=10.5

0.15x=10.5

Solve for x

Divide by 0.15 both sides

x=10.5/0.15

x=70\ lb

Answer:

Step-by-step explanation:

70 pounds

Solve the equation. X^2-6x+6=0

Answers

x^2-6x+6=0 \n \na=1, \ \ b=-6, \ \ c=6 \n\n\Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot 6 = 36-24=12\n\n√(\Delta )=√(12)=√(4\cdot 3)=2√(3)\n \nx_(1)=(-b-√(\Delta) )/(2a)=(6-2√(3))/(2 )=(2( 3- √(3)))/(2)= 3- √(3)\n\nx_(2)=(-b+√(\Delta) )/(2a)=(6+2√(3))/(2 )=(2( 3+ √(3)))/(2)= 3+ √(3)
x^2-6x+6=0\n x^2-6x+9-3=0\n (x-3)^2=3\n x-3=\sqrt 3 \vee x-3=-\sqrt3\n x=3+\sqrt3 \vee x=3-\sqrt3

Anyone a math Genius?
simplify each radical expression.
-21_/27x^9

Answers

ok so according to comments, question is
-21\sqrt{27x^(9)}
remember that
√(xy)=√(x) times √(y)
and \sqrt{yx^(2)}=x√(y)
so
-21\sqrt{27x^(9)}=-21√(27)\sqrt{x^(9)} = -21√(9)√(3)\sqrt{x^(2)}\sqrt{x^(2)}\sqrt{x^(2)}\sqrt{x^(2)}√(x)= -21(3)√(3)(x)(x)(x)(x)√(x)=
-63x^(4)√(3)√(x)=-63x^(4)√(3x)
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