CORRECT ANSWER WILL GET BRAINLIEST!!!!

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

16 meters

Step-by-step explanation:

Area of a circle = πr²

Diameter of a circle = 2 x r

where r = radius

If area of the circle is given, the radius can be determined by finding the square root of the area

64 πm²  = πr²

r² = 64 πm²

r = √64

r = 8m

diameter = 8 x 2 = 16m

Answer: 20.5 feet per second

Step-by-step explanation:

The vector equation of the line is r(t) = t<2, 0, -1>, and the corresponding parametric equations are x = 2t, y = 0, z = -t.

To find the vector equation and parametric equations of the line passing through the point (0, 0, 0) and perpendicular to both u = <1, 0, 2> and w = <1, -1, 0>, we can use the cross product of u and w.

The cross product of two vectors u and w gives us a vector that is perpendicular to both u and w. So, by finding the cross product, we can determine the direction vector of the line.

First, we calculate the cross product of u and w:

u x w = <1, 0, 2> x <1, -1, 0>

Using the determinant rule for the cross product, we have:

u x w = <0(0) - 2(-1), 2(0) - 1(0), 1(-1) - 0(1)>

= <2, 0, -1>

The resulting vector <2, 0, -1> is the direction vector of the line.

Next, we can write the vector equation of the line:

r(t) = <x₀, y₀, z₀> + t<2, 0, -1>

Since the line passes through the point (0, 0, 0), the equation simplifies to:

r(t) = t<2, 0, -1>

This equation represents the line in vector form.

To obtain the parametric equations, we can express each component separately:

x = 2t

y = 0

z = -t

These equations represent the line parameterized by the variable t, where t = 0 corresponds to the given point (0, 0, 0).

In summary, the vector equation of the line is r(t) = t<2, 0, -1>, and the corresponding parametric equations are x = 2t, y = 0, z = -t.

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Answer:

the first 2 are not equal to 30, while the other 2 equal 30

Answer: (12020) x (2+3), (2 x 60 ÷ 30) x (24+2)

Step-by-step explanation:

(12,020) x (2+3) = 60,100

(2 x 60 ÷ 30) x (24+2) = 104

Answer:

N - 3

Step-by-step explanation:

It is a series of -3 so:

7 -3 = 4

4 - 3 = 1

1 - 3 = -2

So:

N-3

where N is the present value in the sequence.

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

y = 27

Step-by-step explanation:

The given are two similar triangles.

We can use the following equation to find the variables:

\(\frac{y-3}{32} = \frac{18}{24}\)

Cross multiply fractions

32*18 = 24(y-3)

576 = 24y - 72

add 72 to both sides

648 = 24y

divide both sides by 24

27 = y

Answer:

4 i think i did this yesterday

Step-by-step explanation:

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

the answer to the question is online if you

Answer: 8 triangles

Step-by-step explanation:

If you connect lines from the middle vertex to the outside vertices you will see that the octagon can be "cut up" into 8 even triangles

True, Most trigonometric equations have unique solutions.

   Most trigonometric equations have unique solutions . Trigonometric equations often have multiple solutions due to the periodic nature of trigonometric functions such as sine, cosine, and tangent. When solving trigonometric equations, you need to consider all possible solutions within the given interval, typically by applying general solutions or analyzing the periodicity of the function involved.

                                    However, there are some cases where there may be multiple solutions or no solution at all. It is important to consider the domain and range of the trigonometric functions when solving these equations in detail.     Most trigonometric equations have unique solutions . Trigonometric equations often have multiple solutions due to the periodic nature of trigonometric functions such as sine, cosine, and tangent.

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The distance of the object for a  14-kg weight stretch the spring is 36. 4cm

From the information given, we can see that the two elements vary directly to each other.

Given that;

This can be represented thus;

D ∝ W

Now, find the constant value

D/W = k

Substitute the values

k = 65/25

k = 2. 6

if w = 14kg, then

D = 2. 6 × 14

D = 36. 4cm

Thus, the value is 36. 4kg

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Answer:

1. slope formula?

2. (0,6)

3. y= -3x+6

Step-by-step explanation:

because the original formula to make a like is y=mx+b.

just plug the values you have into the equation knowing that m is the slope and b is the y intercept.

the slope would be rise/run which in this case the rise is -6 and the run is 2.

so m= -6/2 = -3

and b = 6 because x is 0 when y is 6 for this graph.

(btw I put -6 as the rise because you are going down 6 units instead of going up)

The correct statement is :David started at 0 instead of 2

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

Given here: In a number line the interval (-5,5) is marked and 2 to 5 is 3

The right steps are

Add 3 to 2 to obtain the required number as there are 3 spaces between 2 and 5

Thus 2+3=5 which is the required answer

but David addes 2-3=-1 which is incorrect.

Hence, David started at 0 instead of 2

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We don't have enough information to determine the exact side length of either square A or square C, so we cannot directly calculate their areas. However, we can use the relationship between the areas of the squares to make some conclusions.

Since the area of square B is 64 square units, we know that its side length is √64 = 8 units.

Similarly, since the area of square C is 100 square units, we know that its side length is √100 = 10 units.

Square A is composed of square B and four identical triangles. We know the area of square B is 64 square units, so we need to determine the area of the four triangles to find the area of square A.

Each triangle has a base of 8 units (which is also the length of one side of square B) and a height of half the length of one side of square A. Let's call this length x.

The area of one triangle is (1/2) * 8 * x = 4x square units.

The total area of the four triangles is 4 times the area of one triangle, which is 16x square units.

Therefore, the area of square A is 64 + 16x square units.

We still don't know the exact value of x, but we can make some observations. Since square A is larger than square B, we know that x > 4. And since the triangles make up exactly half of square A (the other half being square B), we know that the area of square A is twice the area of the four triangles. Therefore:

64 + 16x = 2(16x)

64 + 16x = 32x

64 = 16x

x = 4

So the length of each side of square A is 8 + 2x = 16 units, and its area is 64 + 16x = 128 square units.

The length of CA is just the length of one side of square C, which is 10 units.

Answer:

B 60

Step-by-step explanation:

because 30x60=1800 and since you already have 1k you add the 1800 to get 2800.

58º + 56º = 114º

180º - 114º = 66º

Answer: $30.63

Step-by-step explanation: The backpack is on sale for 70% of the original price, given that it is 30% off.

0.70 * 43.75 = 30.625, round to the nearest cent to get $30.63

Answer:$13.13

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

Option b. f(x) = (x + 3)² - 1 represents the given graph based on its matching shape, vertex, and direction of opening.

Based on the options provided, the function that represents the graph above is b. f(x)=(x+3)²-1.

To determine the correct option, let's analyze the given graph. We observe that the graph is a parabola that opens upward and has its vertex at the point (-3, -1).

This vertex represents the lowest point on the graph.

The general form of a quadratic function (parabola) is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Comparing the graph to the options provided:

a. f(x) = -(x + 3)² - 1:

This option is incorrect because it has a negative sign in front of the squared term, which would result in a downward opening parabola. However, the given graph shows an upward opening parabola.

b. f(x) = (x + 3)² - 1: This option is correct because it matches the form of the graph, with the squared term (x + 3)² resulting in an upward opening parabola.

The vertex form of this function is f(x) = a(x - h)² + k, where (h, k) represents the coordinates of the vertex. In this case, (h, k) = (-3, -1).

c. f(x) = (x - 3)² - 1: This option is incorrect because it has a different value for the x-coordinate of the vertex.

The given graph shows the vertex at (-3, -1), not (3, -1).

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Answer:

1) 100 degrees F

2) 50 degrees F

Step-by-step explanation:

its just simple subtraction

Answer:

16

Step-by-step explanation:

sooo all you have to do is make W alone. to do that you multiply 4 to both sides of the equation

W = 4(4)

w = 16

Answer:

60 days

Step-by-step explanation:

2:15

x4    x4

8:60

Circumference = 2 x r x pi

Circumference = 2 x 11 x pi

Circumference = 22pi or 69.08 inches depending on what format the answer is supposed to be in.

Answer:

Circumference = 2πr

Circumference = 2 × 3.14 × 11

Circumference = 22 × 3.14

Circumference = 69.08 in

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8x=48 uhhhhhhhhhhhhhhhhhhhhh

Answer:

30 students they are including the students that are also planning to participate in other sports to.