I need the slope of the line please
Find the slope of the line.

The volume comparison of the given data is written below:

In three dimensions, everything takes up some space. What is being measured here is the area's volume. The volume of an object is the area occupied inside its three-dimensional boundaries. It is referred to as the object's capability on occasion.

Given, The height of the cone and cylinder is twice the radius, while the radius of a sphere is the same.

The volume of the cone =   πr²h

Since, h = 2r

The volume of the cone =   πr² * 2r = 2/3 πr³

The volume of the Cylinder = πr²h

Since, h = 2r

The volume of the Cylinder = πr² * 2r = 2πr³

The volume of the sphere = 4 πr³

Thus, the volume of 3 cones = 2πr³

that is also equal to The volume of one Cylinder.

Thus, the volume of 2 cones = 4/3πr³

that is also equal to The 1/3 volume of the Cylinder.

Thus, the volume of 1 sphere = 4πr³

that is also equal to The volume of 2 cylinders.

Thus, the volume of 1 cone = 2/3πr³

that is also equal to The 1/6 volume of the cone.

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The ratio of dramas to movies, given the number of drama, comedy, and action movies, is 1 : 5.

The ratio of dramas to movies can be found when we first find the number of movies in total :

= Drama movies + Comedy movies + Action movies

= 3 + 8 + 4

= 15 movies

The ratio of dramas to movies would be:

Number of drama movies : Number of total movies

3 movies : 15 movies

In the simplest terms :

3 / 3 : 15 /3

1 : 5

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Full question is:

There are 3 drama movies 8 comedy movies and 4 action movies what's the ratio of dramas to movies ?

The amount of nitre and charcoalin is 7.5kg

You should know that it talks about the amount or quantity when combined together. And this is the sum of the two materials

The parameters that will guide to get the amount involved are

65% of Nitre

15% of surlphur

charcoalin is equal to 8 kg

This implies that

(65/100 * 8)  + (15/100 * )

= 5.2 + 1.5

The sum of the two is = 7.4 kg

In conclusion the amount of nitre sulfur and charcoalin 8 kg of gun powder is 7.4kg

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Answer:

[tex]x=57[/tex]

Step-by-step explanation:

By the converse of the alternate interior angles theorem, [tex]x=57[/tex].

Answer:

The answer is -1

Step-by-step explanation:

2^(2x+1) = 2^2x × 2^1 = 2^2x × 2

after this we can make appointments

2^x = t

and then solve it :)

The given can be simplified as [tex]\frac{6a^{2} -1}{a^{2} }[/tex].

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is [tex]\frac{4a^{2} -1}{a^{2} } - \frac{4 - 2a}{a-2}[/tex]

It can be simplified as follows,

[tex]\frac{4a^{2} -1}{a^{2} } - \frac{4 - 2a}{a-2}[/tex]

⇒ [tex]\frac{4a^{2} -1}{a^{2} } - \frac{2(2 - a)}{a-2}[/tex]

⇒ [tex]\frac{4a^{2} -1}{a^{2} } + 2[/tex]

⇒ [tex]\frac{6a^{2} -1}{a^{2} }[/tex]

Hence, the simplification of the given expression is obtained as [tex]\frac{6a^{2} -1}{a^{2} }[/tex].

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Answer:

Step-by-step explanation:

Expression is equivalent to  ([tex]5^{-2}[/tex])([tex]5^{-1}[/tex]). Thus, option C is the right choice.

[tex](5^{-2})[/tex]=1/25

[tex](5^{-1})[/tex]=1/5

so (1/25)(1/5)=1/125

If either (p q) or (p r) or both (p q) and (p r) are true, then (p q) V (p r) will be TRUE. The provided table reveals that only the results A and B are correct answers.

The union of any two or more sets results in a completely new set that contains a combination of elements that are present in both those two or more given sets.

The table displays the results of (p q) and (p r) for each potential scenario. Which of these occurrences' combined results will always be true must be determined.

(p^q) the term V(p r) denotes the union of (p q) and (p r). The property of a union of two sets or events is that it will be true if either one or both of the events are true, i.e., there must be at least one True(T) for the union of two sets to be True.

Therefore, if either (p q) or (p r) or both (p q) and (p r) are true, then (p q) V (p r) will be TRUE. The provided table reveals that only the results A and B are correct answers.

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The truth table represents statements p, q, and r.

         p      q       r       p^q        p^r

A       T       T       T       T             T

B       T       T       F       T             F

C       T       F       T       F             T

D       T       F       F       F             F

E       F       T       T       F             F

F       F       T       F       F             F

G       F       F       T       F             F

H       F       F       F       F             F

Which rows represent when (p ^ q) v (p ^ r) is true?

A and B

A, B, and C

B and E

B, C, and E

Answer:

y = 4x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 1 ) and (x₂, y₂ ) = (3, 7 )

m = [tex]\frac{7-(-1)}{3-1}[/tex] = [tex]\frac{7+1}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

y = 4x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 7 ) , then

7 = 4(3) + c = 12 + c ( subtract 12 from both sides )

- 5 = c

y = 4x - 5 ← equation of line

Answer: To determine the number of cartons to buy, we simply divide the total number of people to be fed to the number of people that can be fed per one carton of eggs. We do as follows:

Number of carton of eggs = 25 people / 4 people/carton

Number of carton of eggs = 6.25 carton

It would be rounded of to 7 cartons since we cannot buy only 1/4 of a carton.

Step-by-step explanation:

The inequality that represents the number of songs, Sarah can buy is 0.75n ≤ 20.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Let the number of songs be n.

Since Sarah’s favorite online music store has all songs on sale for $0.75 each and sbe has to $20 spend on songs.

The inequality that represents the number of songs, Sarah can buy is:

(0.75 × n) ≤ 20

0.75n ≤ 20.

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Answer: 1000 thousands

If the length of the leg of the isosceles triangle is 17 cm and the base is 16 cm then the length of altitude to the base is  15cm .

An Isosceles triangle is defined as a triangle in which any two side are of  equal length .

The Length of the leg is = 17cm ,

the base of the triangle is = 16cm ;

let the length of the altitude to the base be = x cm ,

The altitude to the base of the triangle divides it into two right angle triangle.

So , in one of the right angle triangles, Base = 16/2 = 8 cm

the Hypotenuse of triangle = length of the leg = 17 cm

By Applying Pythagoras theorem,

we get ,

17² = 8² + x²   ,

289 = 64 + x² ,

x² = 289 - 64

x² = 225 ,

taking Square root(√) on both the sides ,

we get , x = 15 .

Therefore , the length of the altitude to the base is = 15 cm .

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To find the altitude of an isoceles triangle with a base length of 16 cm and a leg length of 17 cm, use the Pythagorean Theorem. Calculate 17² + 16² = c², then solve for c² to get c = √545 = 23.3 cm.

The altitude of the triangle can be found using the Pythagorean Theorem.

a² + b² = c²

17² + 16² = c²

289 + 256 = c²

545 = c²

c = 23.3 cm

(or)

17² + 16² = c² => 289 + 256 = c²

=> 545 = c²

=> c = √545 = 23.3 cm

The altitude of an isoceles triangle can be found by using the Pythagorean Theorem. The formula for the theorem is a² + b² = c², where a and b are the two sides and c is the hypotenuse, which is the altitude. In this situation, a is the leg length of 17 cm and b is the base length of 16 cm. Substituting these values into the equation gives 17² + 16² = c². Solving for c² gives c = √545 = 23.3 cm, which is the length of the altitude.

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The upper bound of the value of A is 10.71

From the question, we have the following parameters that can be used in our computation:

The equation of A is then given as

A = f/g

The number of decimal places implies that:

f = 2.75 + 1 = 3.75

g = 0.3 + 0.05 = 0.35

Substitute the known values in the above equation, so, we have the following representation

A = 3.75/0.35

Evaluate the quotient

A = 10.71

Hence, the upper bound is 10.71

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Answer: ∠ZXY or ∠YXZ

X is in the middle because it is the point of the angle

Z and Y are not points of the angle so they don't go in the middle

The ball reaches a height of approximately 1.60256 feet on the fifth bounce.

We can use the formula for the height of the nth bounce, h(n) = h(1) * (0.83)^(n-1), where h(n) is the height of the nth bounce, h(1) is the height of the first bounce, and 0.83 is the bounce coefficient (the percentage of the previous height that the ball reaches on each subsequent bounce).

Given that the first bounce reaches a height of 5.2 feet, we can plug in h(1) = 5.2 into the formula and solve for h(5), the height of the fifth bounce.

h(5) = 5.2 * (0.83)^4

h(5) = 5.2 * 0.30769

h(5) = 1.60256

The height is 1.60256 feet.

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Answer:

The first graph (topmost graph)

Step-by-step explanation:

Correlation coefficient of -1: Negative correlation

As variable x (horizontal axis) increases, variable y (vertical axis) should decrease.

Hence, gradient of the graph is negative, sloping downwards as x increases.

Graph 2 is eliminated (positive correlation approximately 1)

Graph 4 is also wrong as there is simply no correlation. (Points are random with no fixed pattern or trend)

Graphs 1 and 3 show negative correlation.

However, for graph 3, several points are not accurate, leading to a straight line not being drawn accurately. (Slightly off) . Correlation of this graph is negative but not closest to -1.

Hence, the first graph is the closest to -1 in terms of correlation coefficient.

Using probability we know that the value of m+n = 11.

The area of mathematics known as probability works with numerical representations of the probability that an event will occur or that a statement is true.

A game's probability is a number ranging from zero and 1, where, roughly speaking, 0 denotes the game's impossibility and 1 denotes certainty.

So, we know that:

5 tails = 1/25 times the probability of occurrence of five heads and three tails.

p = m/n

The value of m+n will be:

p + q = 1

We have, ⁸C₃p³(1-p)⁵ = 1/25⁸C₅p⁵(1-p)³

25(1-p)² = p²

p/1-p = ±5

p = 5/6, 5/4

p = 5/6 = m/n

(P<1)

m+n = 11

Therefore, using probability we know that the value of m+n = 11.

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Answer: c

Step-by-step explanation:

Answer:

Step-by-step explanation:

An engineer erects a 75-foot cellular telephone tower. Find the angle of elevation to the top of the tower at a point on level ground 50 feet from its base.

Answer:

B

Step-by-step explanation:

The answer is B. 12

Answer:

Below

Step-by-step explanation:

You didn't show any choices.....here are some similar:

Answer:

1.33

Step-by-step explanation:

1 1/3 as a decimal is 1.33.

Answer:

1.33333 (but the 3 go on forever)

keeping in mind that a solution to a system of equations is where their graph intersect, Check the picture below.

Using the concept of rotational symmetry, the angle of rotation about the center that results in an image that matches the original figure is; Option A:  90

Rotational symmetry is defined as a process that requires the rotation of a given object about a reference point to produce its image which has the same characteristics. This tells us that its dimensions, measure of internal angles and size do not change except its orientation. The orientation depicts the way in which the object is positioned.

The sum of an angle formed at a point is 360 degrees. Thus turning a given object about a point implies its rotation with respect to a measured  angle.

Thus in the diagram given in the question, the pattern shown divides the angle at the centered point into four equal parts.

Thus;

Angle of rotation = 360/4 = 90 degrees

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The best deal for buying onions include the following: A. 2 onions for $1.04.

In Business management, price can be defined as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

Based on the information provided, we can calculate each of the price of the onions as follows;

2 for $1.04 = 1/2 × 1.04

2 for $1.04 = $0.52

4 for $2.52 = 1/4 × 2.52

4 for $2.52 = $0.63

8 for $4.32 = 1/8 × 4.32

8 for $4.32 = $0.54

16 for $9.12 = 1/16 × 9.12

16 for $9.12 = $0.57

Therefore, the best deal would be buying 2 onions for $1.04 because it offers the cheapest price.

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Answer:

52%

Step-by-step explanation:

13/25 x 100 = 52%

Answer:

52%

Step-by-step explanation:

13/25 = .52

To change a decimal to a percent, multiply the decimal by 100%

.52 x 1005 = 52%

This makes sense because half of 25 is 12.5 which would be 50% and 13 is just a little more than 12.5

The probability that numbers 5 and 6 will both be picked is 1/15.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.

If a bowl contains 6 balls, marked with the numerals 1 through 6, and two balls are picked out at random, then there are 15 possible outcomes.

6C2 = 15

Since there is only one chance where 5 & 6 will both be picked from 15 total possible outcomes, then the probability is 1/15.

p = 1 / 15

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Therefore ,we can state after answering the given question that the exponents value is 0.

Exponentiation is a mathematical expression represented by the letter bn that involves numeric values: a base amount, b, and a multiplier, or power, n. It is also referred to as "b raised here to nth power." Exponents demonstrate the number of times that a number has indeed been increased by itself. For example, 2-3 (expressed as 23) means: 2 x Two x 4 = 8. 2 + 3 does not equal 6, nor does 23. Remember that an integer whose power is one is equal to itself. Exponents can be used as a way to express large numbers as powers. Exponent, then, seems to be the quantity that conveys how many time a quantity can be expressed.

Here,

Given  : x⁻² /y⁴

=> here x= 0

So,

=> 0/y⁴

=> 0

hence,

the total is 0.

Therefore ,we can state after answering the given question that the exponent value is 0.

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The complete question is "How do you simplify and write  x⁻² /y⁴ with positive exponents?"

The length of segment NF is given as follows:

NF = 16.

The incenter of a triangle represents the intersection point of all the three interior angle bisectors of the triangle.

Considering the concept of the incenter, the congruent segments are given as follows:

As congruent segments have the same measure, the value of x is obtained as follows:

6x - 2 = 3x + 7

3x = 9

x = 9/3

x = 3.

Hence the length of NF = ND = NE is obtained as follows:

ND = 6(3) - 2

ND = 18 - 2

ND = 16.

(the three segments are congruent, hence we can replace x into any of the lengths, calculate the length, and attribute it to NF).

The problem is given by the image presented at the end of the answer.

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