The function f is defined by f(x) x2 +3x-10.

If fx +5)x2 +kx+30, k = [?]

Find the smallest zero of f(x+5). x = [?]

Answer

46% is the answer. :)

Answer:

A reflection is a transformation that maps point P in a figure, over a line AB, such that for point C at the intersection of AB and PP', PC = PC' and m∠ACP = 90°

Step-by-step explanation:

After the reflection of P across the line AB, P' is created, where PP' and AB are perpendicular. Given that point C is at the intersection of the lines, then m∠ACP = 90° and PC = PC'.  

Answer:

2(5x + 6)

Step-by-step explanation:

i think you need to rearrange 12 + 10x which that is also 2(5x + 6) ?

sorry if i didn't explain well  

Answer:

i Don’t understand

Step-by-step explanation:

pls give me brainliest for the love of god

Final answer:

The length of the diagonal in a square with side length s is s√2, calculated by using the Pythagorean theorem which relates the side lengths of a right triangle.

Explanation:

To find the length of a diagonal in a square with side length s, we can use the Pythagorean theorem. In a square, the diagonal splits the square into two right triangles. Therefore, the length of the diagonal can be seen as the hypotenuse of a right triangle where the other two sides are both of length s. The Pythagorean theorem tells us that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

Here is the step-by-step solution using the Pythagorean theorem:

Let the side length of the square be s.

Since the sides of the square are equal, the lengths of the two sides of the right triangle (formed by the diagonal) are also s.

According to the Pythagorean theorem, the square of the diagonal length d is d² = s² + s².

This simplifies to d² = 2s².

Take the square root of both sides to find the length of the diagonal d = √(2s²).

Therefore, the length of the diagonal is d = s√2.

Answer:

What music genre is the 26 to 36 age group’s favorite?  It's pop

How many people from the 37 to 47 age group like ‘other’ music? 20 people

Which three genres has the most fans? "Pop", "Rock" and "Dance"

Step-by-step explanation:

What music genre is the 26 to 36 age group’s favorite?

 The colors indicate the different age ranges. So first you must locate the color belonging to the range of 26 to 36 years, which is gray.

Now, you place that color in the graph and to determine which genre of music is the favorite in that age, you must place the genre with more people aged between 26 and 36. That reads on the “y” axis, which in the graph is seen as "the tallest gray rectangle". Once this is located, you read on the "x" axis the genre to which it belongs. This results in the music genre "pop"

How many people from the 37 to 47 age group like ‘other’ music?

For this case, as in the previous case, you first locate the color belonging to the age range of 37 to 47, which is the color yellow.

But now you must first place that color on the "x" axis, which is the one corresponding to the music genre. In this case you locate the genre "others". Then with the yellow color you read the number of people on the "y" axis.

Note that the numbers marked are every 100, but that between each number there are 5 divisions. This means that the scale is 20 people (obtained as 100 divided by 5)

The color belonging to the age range of 37 to 47 in the genus "others" reaches the first division. This means that the number of people who like this genre is 20.

Which three genres has the most fans?

In this case you should pay attention to which genders ("x" axis) have the greatest number of people ("y" axis), regardless of age. Observing "the longest colored rectangles", which indicate that more people like the genre, and reading the axis of music genres, you can see that the three genres that have more fans are "Pop", "Rock" and "Dance"

Final answer:

To solve for 'w' in the equation C = 100w/l, multiply both sides by 'l' and then divide by 100, resulting in 'w = Cl/100', which is option B.

Explanation:

To solve the equation C = 100w/l for w, we need to isolate w on one side of the equation:

Multiply both sides by l to get Cl = 100w.

Divide both sides by 100 to isolate w, which gives us w = Cl/100.

Therefore, the equation solved for w is w = Cl/100, which corresponds to option B.) W = LC/100.

The Earth is older than any rock layer. This fact is determined through the use of principles like the law of superposition and radioactive dating methods, such as uranium-lead dating. The oldest rocks on Earth have been dated to be almost 4.4 billion years old, whereas the Earth itself is estimated to be around 4.5 billion years.

This is based on geological principles and radioactive dating methodologies. One of the foundational principles in geology is the law of superposition, which states that in an undisturbed sequence of rock layers, each layer is younger than the one below it.

The age of Earth is estimated to be around 4.5 billion years. We can deduce this from radioactive dating methods, such as uranium-lead dating. In this method, the oldest rocks on Earth, known as the Jack Hills zircons from Australia, have been dated at almost 4.4 billion years old.

Given these findings, it is understood that no existing rock layer can be older than the Earth itself.

https://brainly.com/question/22942117

#SPJ3

B. The Earth is older than any rock layer.

The Law of Superposition states that in an undeformed sequence of sedimentary rocks, the bottom layer is the oldest and the top layer is the youngest. Applying this principle to the Earth's rock layers, we can conclude that the Earth is older than any rock layer as the layers closer to the surface are younger compared to those at the bottom.

To find the total volume of a six-pack of juice cans, calculate the volume of one can using the cylinder volume formula, [tex]V = \pi r^2h[/tex], and multiply by six. One can's volume, with a diameter of 6.6 cm and a height of 12.1 cm, is approximately 414.18 [tex]cm^3[/tex]. Multiplying by six gives a total volume of approximately 2485.08 [tex]cm^3[/tex] for the six-pack.

To calculate the total volume of a six-pack of juice cans, we first need to find the volume of a single can and then multiply that by six, since a six-pack contains six identical cans.

First, let's find the volume of one can using the formula for the volume of a cylinder [tex]V = \pi r^2h[/tex], where r is the radius and h is the height.

Given the diameter of a juice can is 6.6 centimeters, the radius r is half of that, which is 3.3 centimeters. The height h is 12.1 centimeters. Therefore, the volume of one can is:

[tex]V = \pi (3.3 cm)^2(12.1 cm) = \pi (10.89 cm^2)(12.1 cm) = \pi (131.769 cm^3) = 414.18 cm^3[/tex]

Now, to find the total volume for a six-pack, we multiply the volume of one can by six:

Total volume = 6 × 414.18 [tex]cm^3[/tex] ≈ 2485.08 [tex]cm^3[/tex]

Thus, the total volume of a six-pack of juice cans is approximately 2485.08 cubic centimeters.

Answer:

sometimes

Step-by-step explanation:

Two prisms with the same volume sometimes have the same surface area, but not always, because surface area depends on the dimensions of all prism faces. Different shapes with the same volume, such as a sphere, a cube, and a cylinder, can have significantly different surface areas, especially if their proportions change.

If two prisms have the same volume, they do sometimes have the same surface area, but not always. The volume of a prism is determined by the area of the base multiplied by the height, but the surface area includes the areas of all the faces of the prism.

Therefore, two prisms can have the same volume, but if their dimensions—base areas and heights—are different, their surface areas can be very different as well. This holds true for other geometric shapes as well.

For instance, consider a sphere, a cube, and a cylinder that all have the same volume. According to the formula for a sphere, sphere: volume = 4/3 (pi) (r)³; surface area = 4 (pi) (r)², for a cube, cube: volume = (s)³; surface area = 6 (s)², and for a cylinder, cylinder: volume = height (pi) (r)²; surface area = 2 (pi) (r) (height) + 2 (pi) (r)². Even if all these shapes have a volume set at 1 unit cubed, their surface areas can vary significantly.

Furthermore, changing the shape's proportions while keeping the volume constant (such as elongating a cylinder or a cube) generally increases the surface area.

This is showcased in data where cylinders and cubes shapes elongated in length or width have different surface areas but maintain the same volume.

The value of x in the solution to the system of equations will be 3. Then the correct option is B.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The system of linear equations is given below.

y = 14x - 6               ...1

y = -4x + 48            ...2

From equations 1 and 2, then the value of the variable 'x' will be given as,

14x - 6  = -4x + 48

14x + 4x = 48 + 6

18x = 54

x = 3

The value of x in the solution to the system of equations will be 3. Then the correct option is B.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ3

The rocket takes approximately 8.6 seconds to return to earth.

To calculate the time it takes for the rocket to return to earth, we need to consider the projectile motion in the vertical direction. The initial vertical velocity of the rocket is 42 m/s. We can use the equation for vertical displacement to find the time:

Δy = v0yt + (1/2)gt²

Since the rocket returns to the same altitude, the displacement is 0. Therefore, we have:

0 = (42)t + (1/2)(-9.8)t²

Simplifying this equation and solving for t, we find that it takes approximately 8.6 seconds for the rocket to return to earth.

https://brainly.com/question/29545516

#SPJ12

We can use the Pythagorean theorem to find the length of the third sides.

c²=a²+b²

Where c is the longest (unkwon ) side, a and b are the remaining sides. So,

c²=7²+3²

= 49+9

= 58

So, c=√58

So, the length of the third side or the side length of square is √58.

So, the area of the shaded region (square)= c²

=(√58)²

=58

So, the area of the square is 58 units².

Answer: 58 units squared

Step-by-step explanation:

John can make 6 whole batches of collard greens with 8/9 of a gallon of apple cider vinegar, accounting for each batch requiring 1/7 of a gallon of vinegar.

The question asks how many batches of collard greens John can make with 8/9 of a gallon of apple cider vinegar, considering that each batch takes 1/7 of a gallon.

To find the answer, divide the total amount of vinegar John has by the amount of vinegar required for one batch:

Total amount of vinegar John has: 8/9 gallon

Amount of vinegar required for one batch: 1/7 gallon

Now, we use division to find out how many batches can be made:
(8/9),  (1/7)

Multiply the first fraction by the reciprocal of the second fraction: (8/9) * (7/1)

Simplify the multiplication: (8 * 7) / (9 * 1)

Calculate the result: 56/9

Finally, we determine how many whole batches John can make, since partial batches are generally not considered. As 56/9 is equal to 6 with a remainder, John can make 6 whole batches of collard greens.

0-0.7 | 1  

0.8-1.5 | 4  

1.6-2.3 | 4  

2.4-3.1 | 4  

3.2-3.9 | 0  

4-4.7 | 1