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dedylja [7]
3 years ago
14

What is the value of c in the equation below? 2^-4(2^2)=a^b=c

Mathematics
1 answer:
Triss [41]3 years ago
5 0

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

So for this question :

{2}^{ - 4}  \times  {2}^{2}

=  {2}^{ - 4 + 2}

=  {2}^{ - 2}

{a}^{b}  = c \\ c =  {2}^{ - 2}

c =  \frac{1}{ {2}^{2} }

c =  \frac{1}{4}

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Christina needed 8 pounds of flour to make cookies that will
iogann1982 [59]

Answer:

12

Step-by-step explanation:

4 pounds is 22 people

8 is 44

12 is 66

6 0
3 years ago
Algbra two, i need help asap please
AlladinOne [14]

Answer:

(a) The zeroes of f(x) are rational numbers

(b) The smallest integer value of a is 3

Step-by-step explanation:

In the quadratic function f(x) = ax² + bx + c, we can know the number and the types of its roots using the discriminant  Δ, where Δ = b² - 4ac

  • If Δ > 0, then the zeroes are two different real numbers
  • If Δ = 0, then the zeroes are the same real number
  • If Δ < 0, then the zeroes are imaginary numbers

Note: In the first case if Δ is a perfect square number then the zeroes are rational, if not then the zeroes are irrational

(a)

∵ The equation function is f(x) = ax² + 11x + 12

∵ a = 2

∴ a = 2, b = 11 and c = 12

→ Substitute them in the rule of Δ

∵ Δ = (11)² - 4(2)(12) = 121 - 96

∴ Δ = 25

∵ Δ > 0

∴ f(x) has two different real zeroes

∵ 25 is a perfect square number

→ That means the zeroes of the function are rational numbers

∴ The zeroes of f(x) are rational numbers

(b)

∵ f(x) ha imaginary zeroes

→ By using the third rule above

∴ Δ < 0

∵ a = a, b = 11 and c = 12

→ Substitute them in the rule of Δ

∴ (11)² - 4(a)(12) < 0

∴ 121 - 48a < 0

→ Add 48a to both sides

∵ 121 - 48a + 48a < 0 + 48a

∴ 121 < 48a

→ Divide both sides by 48

∴ 2.52083 < a

∴ a > 2.52083

∵ The smallest integer greater than 2.52083 is 3

∴ The smallest integer value of a is 3

5 0
3 years ago
If c = 25 and B = 50 degrees, find a.
White raven [17]
The answer is 25 degrees
7 0
3 years ago
Read 2 more answers
A spirit shop outside the hockey stadium sells merchandise representing the three school districts that built the arena. the ent
almond37 [142]

Point E is where the statue should be placed.

<h3>What is called a triangle?</h3>
  • A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
  • Triangles are three-sided shapes. The various kinds of triangles go by various names. The angles' size and the sides' length determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.
  • The triangle is most frequently seen in our daily lives on traffic signs. The signs are triangular in shape and equilateral, which means that all three of their sides are the same length and have the same angle.

At what point should the statue be:

The intersection of the doors to the arena, the spirit store, and the parking lot forms a triangle, with Point E in its center. The radius of the circumscribed circle will therefore equal the distance from the statue to each vertex, placing it at the same distance from all three landmarks.

Point E is where the statue should be placed.

To learn more about the Triangle, refer to:

brainly.com/question/17335144

#SPJ4

4 0
1 year ago
Idk if someone wants to help to solve this but- it’s worth a try I think it’s 15 points or so and I’ll mark brainliest to first
Anastaziya [24]

Answer:

Part 3: 9 Dogs

Step-by-step explanation:

It says that the ratio they want you to put it in is dogs/students, so dogs are x, and students are y, so if there are 4 students for every dog, 36 students would require 9 dogs

And if the roles were switched it would be students x, dogs y, and there would be 9 students for 36 dogs :D

3 0
2 years ago
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