EXTRA POINTS
Find an equation, in slope-intercept form, that passes through point (1, 5) with slope 1.

Select one:
a. y = -x + 1
b. y = x + 4
c. y = -x + 4
d. y = x + 1

The volume of the conical sculpture is calculated using the formula for the volume of a cone, 1/3πr²h. Substituting the given values, the volume is found to be approximately 2,616.67 m³.

The subject of this question is focused on calculating the volume of a cone. To find the volume of a cone, we apply the formula 1/3πr²h, where r is the radius and h is the height. Given in the question, the height (h) of the cone is 16 m and the diameter is 25 m. The radius is half of the diameter so it is 25/2 = 12.5 m. Substituting these values into the formula gives us:

Volume = 1/3πr²h

= 1/3 * π *(12.5 m)² * 16 m

≈ 2,616.67 m³

So, the volume of the sculpture to the nearest hundredth is approximately 2,616.67 m³. Thus, Option C is the correct answer.

https://brainly.com/question/29767724

#SPJ12

The required quotient is [tex]152[/tex] and remainder is [tex]10[/tex].

Given that [tex]6394[/tex] ÷ [tex]42[/tex].

Long division states that [tex]divident= divisor*quotient+remainder[/tex].

Let [tex]a[/tex] and [tex]b[/tex] be any real number. Consider [tex]a[/tex] ÷ [tex]b[/tex] gives

[tex]a=bq+r[/tex], [tex]q[/tex] is quotient [tex]r[/tex] is remainder and its value is [tex]0\leq r < b[/tex].

[tex]\begin{array}{ccccc}42)&006394(152&\\-&42____________&\\&219& \\&\\-&210&\\&0094\\-&0084\\&0010\end{array}\right][/tex]

Hence, the required quotient is [tex]152[/tex] and remainder is [tex]10[/tex].

Learn more about Long division click here:

https://brainly.com/question/28748299

#SPJ6

Answer:

No, because there is a lot of variability in the science book data

Step-by-step explanation:

(B.) sin(A)/a = sin(B)/b

Answer:

It’s y=2/3x+1 that’s the equation of the line.

Step-by-step explanation:

There are 100 students in a drawing contest and 58 of students are girls. What percent of students in the drawing contest are girls?

The fraction [tex]\frac{58}{100}[/tex] represents the number of girls in the drawing contest out of all the students.

To find out what percent of the students are in the drawing contest, we can change [tex]\frac{58}{100}[/tex] into a percent.

We can first reduce the fraction by dividing both the numerator and denominator by the Greatest Common Factor of 58 and 100 using 2.

58 ÷ 2 = 29

100 ÷ 2 = 50

Our reduced fraction is [tex]\frac{29}{50}[/tex].

29 ÷ 50 = 0.58

0.58 × 100 = 58%

Therefore, 58% of the students in the drawing contest are girls.

Answer:

x>[tex]\frac{5}{3}[/tex].

Step-by-step explanation:

We have given an  inequality |3x+2|>7.

We need to solve this inequality |3x+2|>7, and find the compound which can solve this.

We know that,  inequality :

|3x+2|>7

Subtrating 2 from both sides,

|3x+2-2|>7-2

3x>5

Dividing by 3 both sides,

[tex]\frac{3x}{3} > \frac{5}{3}[/tex]

x>[tex]\frac{5}{3}[/tex]

Therefore, we can see that on the inequality |3x+2|>7, we find x>[tex]\frac{5}{3}[/tex] compound.

Answer:

D. 3x + 2 < –7 or 3x + 2 > 7

Step-by-step explanation:

Aaron solved an inequality and then graphed the solution as shown below. Anwser: A

A student found the solution below for the given inequality lx-9l less than 4

Anwser: D

Amber is solving the inequality lx+6l - 12 less than 13 by graphing. Which equations should Amber graph?

Anwser: A

What is the solution, if any, to the inequality l3xl greater than or equal to 0?

Anwser: A

Which compound inequality is equivalent to lax-bl greater than c  for all real numbers a, b, and c, where c is greater than or equal to 0?

Anwser: D

Which compound inequality is equivalent to the absolute value inequality lbl greater than 6?

Anwser: D

What is another way to write the absolute value inequality lpl less than or equal to 12?

Anwser: A

What is the solution to the inequality lx-4l less than 3?

Anwser: B

Which inequality is equivalent to lx-4l less than 9?

Anwser: B

Hope This Helps!

Volume of the given box is 5832 in³

Volume of the cube:

Given a spherical ball with a volume of 972π in.³,

Since the volume of a sphere is (4/3)πr³, we can find that the radius of the sphere is 9 inches.

The edge length of the cube (box) is twice the radius (diameter of the sphere), so the edge length of the cube is equal to 18 inches.

The volume of the cube is then (18³) in³

Volume of the cube = 5832 in³

Answer:

the answer is C

Step-by-step explanation:

A system of equations with an infinite number of solutions is known as a consistent and dependent system. These systems occur when equations are essentially the same, leading to all solutions satisfying all the equations, often represented by overlapping graphs in the case of linear equations.

A system of equations that has an infinite number of solutions is called​ a consistent and dependent system of equations. When a system is consistent and dependent, it means that the equations describe the same line or geometric shape, leading to an infinite number of points that satisfy all equations in the system simultaneously. This scenario often arises when the equations in the system are multiple forms of the same equation, or when they can be algebraically manipulated to become the same equation.

In practical terms, if you were to graph the equations in a consistent and dependent system, you would see that they overlap completely. For instance, if two linear equations represent the same line, any point on that line is a solution to both equations, hence the infinite solutions. A key aspect of understanding such systems is realizing that they do not lead to a single unique solution but rather a set of solutions that satisfy all conditions outlined by the equations in the system.

A system of equations with an infinite number of solutions is referred to as a consistent and dependent system, indicating the equations describe the same line.

A system of equations that has an infinite number of solutions is called​ a consistent and dependent system of equations. This type of system occurs when the equations involved describe the same geometric line, meaning every point on the line is a solution to the system, hence an infinite number of solutions. Such systems often arise in various mathematical contexts, including linear algebra and differential equations, where they indicate a fundamental underlying symmetry or redundancy in the system's constraints.This occurs when the equations are dependent, leading to multiple possible solutions that satisfy all the equations simultaneously.

The property that allows the statement 10 = y to be written y = 10 is:

                       Symmetric

We know that for any set A. if a and b are two elements of the set A.

Then if a is related to b by some relation then by the symmetric property b must be related to a by the same property.

Here 10 is related to y by the equality relation.

i.e. 10=y

Hence, by the symmetric property we have that y must be related to 10 by the same equality relation.

i.e.   y=10

The first time the two trains are 10 miles apart is approximately 16.15 minutes after they start. The second time they are 10 miles apart is about 25.38 minutes after they start.

This problem is a relative speed problem in mathematics, specifically in the subsection of algebra known as rate, time, and distance problems. To solve, you should consider that when the two trains move towards each other, their speeds add up. Hence, the relative speed of the two trains is 70 mph + 60 mph = 130 mph.

First, we need to figure out the time it would take for the trains to be 10 miles apart for the first time. This would be when they have collectively traveled 35 miles (45 miles initial separation - 10 miles final separation). To find the time it takes, we use the formula d=rt, where d is distance, r is rate or speed, and t is time. Here, time t = d/r = 35 miles / 130 mph = approximately 0.27 hours, which converts to about 16.15 minutes.

Next, to find the time when they are 10 miles apart for the second time, we need to consider when they have covered the total distance of 45 miles and then kept going until they've covered an additional 10 miles. This is a total of 55 miles. Again, using the time formula t = d/r, we get t = 55 miles / 130 mph = approximately 0.42 hours or about 25.38 minutes.

https://brainly.com/question/14362959

#SPJ2