Help please base 20 points

Answer: it’s A

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

The value of the expression  [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]

The expression is as follows:

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]

using law of indices

Hence,

when a = 5, k = -2

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]

Then,

[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]

[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]

[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]

[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]

Therefore, the value of the expression is 25 / 9

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Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

Answer:

The drift angle is approximately 7.65° towards the East from the plane's heading

Step-by-step explanation:

The speed of the plane = 350 mph

The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction

The speed of the wind = 40 mph

The direction of the wind = S 70° E = 20° clockwise from the eastern direction

The component velocities of the plane are;

[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j

[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j

The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j

The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°

Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East

Answer: A. 5.89

Step-by-step explanation:

edge2020

A) y intercept is (0,3)

C) Axis of symmetry is x = -1

D) Vertex is (-1, 4)

So basically everything but choice B is true.

========================================

Explanation:

Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.

-------------------

To check choices B through D, let's convert the equation into vertex form.

y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where

a = -1

b = -2

c = 3

The vertex is located at (h,k) such that h = -b/(2a)

Plug the values of 'a' and 'b' into the equation below

h = -b/(2a)

h = -(-2)/(2*(-1))

h = 2/(-2)

h = -1

The x coordinate of the vertex is x = -1

Then use this to find the y coordinate of the vertex

y = -1x^2 - 2x + 3

y = -1(-1)^2 - 2(-1) + 3

y = 4

The y coordinate of the vertex is 4, meaning k = 4

The vertex overall is (h,k) = (-1, 4)

This shows choice D is true, meaning choice B has to be false.

Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.

Answer:

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.

Step-by-step explanation:

Answer:

A will be 5 and B will be 25

Answer:

Do you need the result of the end?

Step-by-step explanation:

5*3=15

15-3=12

Answer:

you can look up these online it will give u the diagram and u can put it in on calculators I used to do that

A ≈ 452.39

Hope you get a good grade

Answer:

x=-6

Step-by-step explanation:

Move all terms that don't contain x to the right and solve using the elimination process.

Answer:

Okay...I'm not entirely sure but I kinda am. I think its g(x) = 10x - 6

Step-by-step explanation:

Answer:

I think the answer would be A

Answer:

A

Step-by-step explanation:

Answer:

5q+74

Step-by-step explanation:

84-94 first which equals -10

then add that by 84 which equals 74

lastly just bring the 5q and 74 together making your expression

Answer:

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Step-by-step explanation:

The price per Melon = 50c = $0.5

The price per orange = 25c = $0.25

The amount she has to spend = $2

The number of melons she must buy ≤ 2

The number of oranges she must buy ≥ 4

The total number of fruits she should ≥ 6

Let x be the number of melons

Let y be the number of oranges

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel

The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Answer:

The square root of 39 is approximately 6.245 so it lies between 6 and 7

Answer:

[tex]\sqrt{39}[/tex] is located between 6 and 7

Step-by-step explanation:

the square root of 39 is about 6.245. This number is located between the whole numbers 6 and 7.

6 x 6 = 38

39 is in the between

7 x 7 = 49

Answer:

Its d i took the class

Step-by-step explanation:

do you mind rephrasing it in english

will

Answer:

The answer is A only i. (0)

Answer:

D

Step-by-step explanation:

Given

x(x + 3)(x - 1)(2x + 1) = 0

Equate each factor to zero and solve for x

x = 0

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Thus

x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots

Hence

111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D

Step-by-step explanation:

y=0

7x-3*0=42

7x=42

x=42/7=6

x=0

7*0-3*y=42

-3y=42

y=-42/3=-14

Answer:

y=-14, x= 6

Step-by-step explanation:

Answer:

Each glass of milk is 9 carbs.

Each snack bar is 19.7 carbs.

Step-by-step explanation:

1. I know that 2 glasses of milk with 3 snack bars is 78 carbs.

The next part of the sentence has two times the amount of milk with the same amount of snack bars for 96 carbs.

Now, I will find the difference in the amount of carbs.

96 - 78 = 18 carbs.

So two glasses of milk = 18 carbs.

18 ÷ 2 = 9 carbs

So, each glass of milk is 9 carbs.

2. Since we know this, we can subtract the amount of carbs from the glasses of milk from the total amount of carbs.

78 - 19 = 59

In the first scenario, there are 59 carbs per 3 snack bars.

To find the amount of each snack bar, divide 59 by 3.

59 ÷ 3 = 19.7 when rounded to the nearest tenth.

Therefore, each snack bar is 19.7 carbs.

Answer:

glass of milk = 9 carbohydrates

snack bars = 20 carbohydrates

Step-by-step explanation:

Let s be snack bars and g be the glasses of milk.

3s + 2g = 78

3s + 4g = 96

-1(3s + 2g) = -1(78)

- 3s - 2g = - 78

- 3s - 2g = - 78

3s + 4g = 96

2g = 18

g = 18/2

g = 9

3s + 2g = 78

3s + 2(9) = 78

3s + 18 = 78

3s = 78 - 18

3s = 60

3s/3 = 60/3

s = 20

Check: g = 9; s = 20

3s + 2g = 78

3s + 4g = 96

3(20) + 2(9) = 78

60 + 18 = 78

78 = 78

3(20) + 4(9) = 96

60 + 36 = 96

96 = 96

So, the solution is g = 9; s = 20

Answer:

y=x-70

Step-by-step explanation:

Answer: 742.5

Step-by-step explanation: 45% off of 1350= 742.5

Answer:

$607.50

Step-by-step explanation:

if you take 1350.00and multiply by 45% you will get $607.50

Answer: 0.5 is the value of 0.05 is 1/10

Step-by-step explanation:

Answer:

The value of [tex]gf\left(-2\right)[/tex] will be:

Step-by-step explanation:

Given the functions

[tex]f(n) = n^2 - 4n + 3[/tex]

[tex]g\left(n\right)\:=\:2n\:-\:1[/tex]

[tex]f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3[/tex]

           [tex]=\left(-2\right)^2+4\cdot \:2+3[/tex]

           [tex]=2^2+4\cdot \:2+3[/tex]

            [tex]=2^2+8+3[/tex]

            [tex]=4+11[/tex]

            [tex]=15[/tex]

so

[tex]gf\left(-2\right)=g\left(15\right)[/tex]

             [tex]=2n-1=2\left(15\right)-1=30-1=29[/tex]

Therefore,

So when you divide by powers of ten (ten times itself some number of times, like ten, one hundred, one thousand, etc.), the decimal moves to the left. For each power of ten, you move one place to the left. So if you divided a number by one hundred (10^2 or 10*10), you would move two places to the left.

Answer:

2

Step-by-step explanation:

If you use rise over run, you should get to. From one point to the other, the rise is 2 and the run to the right is 1. So, you do 2 divided by 1, which is 2. So, the slope would be 2.

Answer:

1.3

Step-by-step explanation:

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