Flora made 8 withdrawals of $55 each from her bank account. What is the overall change in her account?

Answer:

C and B

Step-by-step explanation:

Evaluate all the exponents

3^8: 6,561

8^3 = 512

(3 * 3) ^4 = 6,561

(3^4)^2 = 6,561

Options C and B would work.

9514 1404 393

Answer:

  a : b : c = 12 : 10 : 15

Step-by-step explanation:

Given:

  5a = 4c

  b = (2/3)c

Find:

  a : b : c

Solution:

In terms of c, we have ...

  a = 4/5c

  b = 2/3c

Using a common denominator, these are ...

  a = 12/15c   ⇒   a/12 = c/15

  b = 10/15c   ⇒   b/10 = c/15

So, we can write ...

  a/12 = b/10 = c/15

If all of these ratios are 1, then the ratios of a : b : c are ...

  a : b : c = 12 : 10 : 15

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer: X = 4/61

Step-by-step explanation

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

Duru's Definition-----Correct! Your mental acuity continues to impress me.

Carlos' Definition-----Sorry, this is incorrect.

Oliver's Definition-----Were you thinking of the measure of an angle?

Answer:

it's area the forth one

Step-by-step explanation:

...............

Answer:

$749 each

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:

sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes

Answer:

0.056

Step-by-step explanation:

I used my calculator, not much work to show :)

Answer:

The answer for 0.7 x 0.08 is 0.056.

Explantion:

I am smart like that.

I am built different.

The polynomial that has the zeros when x = 5, 1/3 and -7 is \(P(x) = (x - 5) (x - \frac 13) (x + 7)\)

The zeros of the polynomial are given as:

Rewrite the above equations, as follows:

Multiply the above equations

\((x - 5) \times (x - \frac 13) \times (x + 7) = 0 \times 0 \times 0\)

\((x - 5) \times (x - \frac 13) \times (x + 7) = 0\)

Remove the product sign

\((x - 5) (x - \frac 13) (x + 7) = 0\)

Rewrite the above as a function

\(P(x) = (x - 5) (x - \frac 13) (x + 7)\)

Hence, the polynomial that has the zeros when x = 5, 1/3 and -7 is \(P(x) = (x - 5) (x - \frac 13) (x + 7)\)

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Answer: False

Step-by-step explanation:

25% of the data is between Q1 and the median.

Step-by-step explanation:

the slanted one is 3 so 3/1

the horizontal on is zero 0/2

the vertical one is infinite inf/0

Answer:

C. 0.99 per day

Step-by-step explanation:

I calculated it logically

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

Answer:

the answer is  edge 2020  A

Step-by-step explanation:

each strawberry contains four calories

gaming legend

Answer:

Its A

Step-by-step explanation:

got it right on Edge

Answer:

26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. Prime factorization: 26 = 2 x 13.

Answer:

The Prime factorization: 26 = 2 x 13.

Explain:

26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. So the Prime factorization: 26 = 2 x 13.

Hoped I helped

A graph of the cube root function g(x) = 1/2x³ is shown in the image below.

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;

g(x) = kf(x)

g(x) = 1/2f(x)

g(x) = 1/2x³.

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Answer:  12 possible outcomes in total

Step-by-step explanation:

percent row: 120%      0.03%            15%

Decimal row: 1.2          0.0003          0.15

Fraction row: 12/ 10      3/10000         3/20

Answer:

The answer is 862

Step-by-step explanation:

All you have to do is divide 7758 by 9 which would equal 862. Hope this helps.

number one take the second

-9...................

Answer:  f⁻¹(x)=2x-6

Step-by-step explanation:

To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.

y=1/2x+3          [replace y with x and x with y]

x=1/2y+3          [subtract both sides by 3]

x-3=1/2y           [multiply both sides by 2]

y=2(x-3)            [distribute]

y=2x-6

Now, we know the inverse function is f⁻¹(x)=2x-6.

Answer:

84 text messages

Step-by-step explanation:

Set up a proportion and solve:

dollars / texts = dollars / texts

9.8 / 196 + 4.2 / x

9.8 * x = 4.2 * 196

9.8x = 823.2

9.8x / 9.8 = 823.2 / 9.8

x = 84

Brody would have sent 84 messages if he spent $4.20.

A ratio indicates the number of times one number contains another.

Given that, the cost of sending 196 text messages is $9.80.

Therefore,

$9.80 = 196 messages

$1 = 196/9.80 messages

$4.20 = (196/9.80)×4.20 messages

$4.20 = 84 messages

Hence, Brody would have sent 84 messages, if he spent $4.20.

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The surface area of the pyramid is 74.25 square meters.

Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.

In the given question,

The area of the base is simply the area of a square, which is:

Area of base = length x width = 4.5m x 4.5m = 20.25 square meters

To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).

We can use the Pythagorean theorem to do this:

h²= (1/2 x base)² + height²

h² = (1/2 x 4.5)² + 6²

h² = 2.25 + 36

h² = 38.25

h = √38.25

h = 6.18 meters (rounded to two decimal places)

Now that we know the slant height, we can find the area of each triangular face:

Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters

Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:

Total area of triangular faces = 4 x 13.5 = 54 square meters

Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Surface area = Area of base + Total area of triangular faces

Surface area = 20.25 + 54

Surface area = 74.25 square meters

Therefore, the surface area of the pyramid is 74.25 square meters.

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Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

The number of chickens and pigs the farmer saw on the field are 37 and 16 respectively.

Let

Number of chickens = x

Number of pigs = y

x + y = 53

2x + 4y = 138

From (1)

x = 53 - y

Substitute x = 53 - y into (2)

2x + 4y = 138

2(53 - y) + 4y = 138

106 - 2y + 4y = 138

- 2y + 4y = 138 - 106

2y = 32

divide both sides by 2

y = 32/2

y = 16

Substitute y = 16 into

x + y = 53

x + 16 = 53

x = 53 - 16

x = 37

Therefore, there are 37 chickens and 16 pigs respectively.

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