Which type of graph would be best used to make comparisons of data?

C. x*110 is the product of unknown number with 110.

What is meant by product?

In mathematics, a product is the outcome of multiplying two or more numbers together.

For eg. 5*4*3.

Step by step explaination:

A. x+110

This  statement does not satisfy the condition of question .

So, the given statement is wrong.

B. x-110

This  statement does not satisfy the condition of question .

So, the given statement is wrong.

C. x*110

This statement satisfy the condition of question .

As it states that product of unknown number with 110.

product=multiplication.

So, ths given statement is right.

D. x/110

This  statement does not satisfy the condition of question .

So, the given statement is wrong.

C.x*110 is the product of unknown number with 110.

Learn more about this question here:

https://brainly.com/question/12188496

#SPJ1

The factored form and the vertex form of the given quadratic equation is given by :

Standard quadratic equation is  : ay²+ by + c

Factored form of the quadratic equation is : A ( y - p )( y - q ).

Vertex form of the quadratic equation is : A ( y - h )² + k .

As given in the question,

Let us consider the standard quadratic equation be :

ay²+ by + c

Example : 3x² + 15x  + 18

Factored form is :

= 3 (x² + 5x + 6 )

= 3 ( x² + 2x + 3x + 6 )

= 3 ( x + 2 )( x + 3 )

Standard factored form is :  A ( y - p )( y - q )

Let ( h ,k ) be the vertex of the quadratic equation ,

Vertex form is given by : A ( y - h )² + k

Therefore, the factored and the vertex form of the given quadratic equation is equal to

Standard quadratic equation is  : ay²+ by + c

Factored form of the quadratic equation is : A ( y - p )( y - q ).

Vertex form of the quadratic equation is : A ( y - h )² + k .

Learn more about quadratic equation here

brainly.com/question/30098550

#SPJ4

The number of tigers that Joe need to have in January is 57 tigers.

It should be noted that this question has to do with an arithmetic sequence. This is a sequence where there's a common difference

In this case, Joe Exoctic needs 200 tigers by December and the tiger population grows by 13 every month

The 12 the term is 200

Common difference = 13

First term = a = Unknown

a + 11d = 200.

a + 11(13) = 200

a + 143 = 200

Collect the like terms

a = 200 - 143

a = 57

Therefore, there'll be 57 tigers in the first month.

Learn more about arithmetic sequence on:

brainly.com/question/6561461

#SPJ1

Answer: The sequence is defined by the rule f(n) = 2n^2 + 4.

To find the first 4 terms of the sequence, we need to plug in the values of n into the rule and calculate f(n) for each value of n.

n = 1: f(1) = 2(1)^2 + 4 = 2 + 4 = 6

n = 2: f(2) = 2(2)^2 + 4 = 8 + 4 = 12

n = 3: f(3) = 2(3)^2 + 4 = 18 + 4 = 22

n = 4: f(4) = 2(4)^2 + 4 = 32 + 4 = 36

So, the first 4 terms of the sequence are 6, 12, 22, 36

Step-by-step explanation:

-6p³ + 14p² -6 is the final polynomial after all operations

In order to get final polynomial we nedd to complete all operations on different polynomials provided velow.

A polynomial is a mathematical expression involving a sum of powers in one or more variables with real or complex coefficients. It is a type of algebraic expression which can be of degree 0,1,2,3,..n. It is represented by a letter such as "P" or "f", with one or more variables such as x, y, z, etc. and coefficients, which are numbers or constants. The degree of a polynomial is the highest power of the variable in it.

-3p³ - 3p³ + 5p² + 2p² + 7p² - 3 - 3

=> -6p³ + 14p² -6

so the required polynomial is -6p³ + 14p² -6 which is obtained after all the operation on the numbers.

To know more about polynomial click on below link:

https://brainly.com/question/11536910#

#SPJ4

In the given parallelogram and considering the information in the figure, we have:

i. m<MJL = 62^o

ii. <M = 67^o

iii. x = 3

A parallelogram is a figure which has a pair of its two opposite sides to be equal and parallel. It has some differentiating properties.

Considering the parallelogram and the information given in the figure, we have;

i. m<JLM + m<LMJ + m<MJL = 180^o

   51^o + 67^o + m<MJL = 180^o

              118 + m<MJL  = 180

  m<MJL = 180 - 118

                = 62^o

m<MJL = 62^o

ii. <M = 67^o    (opposite angles of a parallelogram are congruent)

iii. 4x = 12    (opposite sides of a parallelogram are equal)

     x = 12/ 4

        = 3

     x = 3

Learn more about the properties of parallelogram at https://brainly.com/question/21841960

#SPJ1

The parallelogram have the values for:

angles m∠MJL = 62°, m∠M = 67° and x = 3

Considering the triangle JKL,

m∠JLK + 67° + 51° = 180° {sum of interior angles of a triangle}

m∠JKL = 180° - 118°

m∠JKL = 62°

m∠JKL and m∠MJL are alternate angles and are equal so;

m∠MJL = 62°

m∠KJM = m∠MJL + m∠KJL

m∠KJM = 62° + 51°

m∠KJM = 113°

m∠M and m∠KJM are adjacent angles so;

m∠M + 113° = 180°

m∠M = 180° - 113° {subtract 113° from both sides}

m∠M = 67°

side KJ is equal to LM, so;

4x = 12

x = 12/4 {divide through by 4}

x = 3

Therefore, the parallelogram have angles m∠MJL and m∠M to be 62° and 67° respectively, and the value of x is equal to 3.

Learn more about parallelogram here:https://brainly.com/question/24056495

#SPJ1

The logarithm of 7 with base 7 is equal to 1, since any number to the power of 1 is equal to itself.

The logarithm of a number is the exponent to which a base number must be raised to produce that number. For example, the logarithm of 10 with base 2 is 3, since 2 to the power of 3 is equal to 10. In this case, the logarithm of 7 with base 7 is equal to 1, since any number to the power of 1 is equal to itself.

This is because logarithms have the property that logb b = 1. This means that the logarithm of a number with the same base as the number itself is always equal to 1. This is why, in the case of log7 7, the answer is 1.

Logarithms can be used to simplify mathematical equations, as logarithms of multiplication and division are equal to the sums and differences of the logarithms of the individual numbers. They are also used in many scientific and engineering applications, such as calculating the pH of a solution.

Learn more about logarithm here

https://brainly.com/question/30085872

#SPJ4

Answer:

3rd option

Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle.

To find the third side subtract the sum of the 2 known sides from the given perimeter, that is

third side

= 8x + 7 - (4x + 2x - 3)

= 8x + 7 - (6x - 3) ← distribute parenthesis by - 1

= 8x + 7 - 6x + 3 ← collect like terms

= 2x + 10

The length of third side of Triangle is 2x + 10.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

A triangle has a perimeter of 8x + 7.

First side = 4x, second side = 2x - 3

As, Perimeter of Triangle =  side + side + side

8x + 7 = 4x + 2x - 3 +side

8x + 7 = 6x - 3 + side

side = 8x - 6x + 7 + 3

side = 2x + 10

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

On solving the provided question, we can say that Arc AB = Radius * Angle  AB = 9 x 2.164

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.

Radians = π/180 * degree

0.0174 x 124 = 2.164 rad

Arc AB = Radius * Angle ( In Radians )

AB = 9 x 2.164

=> 19.47m

To know more about radius visit:

https://brainly.com/question/28946570

#SPJ1

The feasible region corresponds to the area that lies below the line y = 2x and above the line y = -x + 220. The feasible region is the area which is above and on the line y = 2x, and below and on the line y = -x + 220.

In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).

x + y <= 220 (because the total area used for flowers and vegetables must be less than or equal to 220 square feet)

y >= 2x (because the area used for vegetables must be at least twice the area used for flowers)

We can graph these inequalities on a coordinate plane. The first inequality x + y <= 220 represents a line with slope -1 and y-intercept of 220, this line is the upper boundary of the feasible region. The second inequality y >= 2x represents a line with slope 1/2 and y-intercept of 0, this line is the lower boundary of the feasible region.

The feasible region corresponds to the area that lies below the line y = 2x and above the line y = -x + 220. The feasible region is the area which is above and on the line y = 2x, and below and on the line y = -x + 220.

This region is a triangle.

To learn more about graph visit:

brainly.com/question/19040584

#SPJ1

Answer:

72 cm

Step-by-step explanation:

you said that the width is is 36 and the length is 2x as long making it 36*2 which is 72

The P-value for this hypothesis test is 0.00215

The p-value hypothesis test gives a measure of how much evidence is present to reject the null hypothesis. The smaller the p-value, the higher the evidence against the null hypothesis.

Given that:

Null Hypothesis: mu1 = mu2

Alternative Hypothesis: mu1<mu2

Notice that the alternative hypothesis is a one-tailed test

Now, when a one-tailed alternative hypothesis is used, To obtain a one-tailed alternative probability value i.e p-value, we divide the result by two (2).

so, given output ( z=3.25, p=0.0043)

since its one-tailed test:

P-value for this hypothesis test = 0.0043/2 = 0.00215

Therefore, the P-value for this hypothesis test is 0.00215

To know more about the P-value for the hypothesis test:

https://brainly.com/question/21135594

#SPJ4

To find the roots of a quadratic equation by factoring, you can use the following steps: Write the quadratic equation in standard form, Set the equation equal to zero and factor out a common factor if possible, Factor the remaining trinomial and set each factor equal to zero and solve for x. These solutions are the roots of the equation.

Write the quadratic equation in standard form, ax² + bx + c = 0, where a, b, and c are constants.

Set the equation equal to zero and factor out a common factor if possible.

Factor the remaining trinomial using a method such as the difference of squares or the sum/difference of cubes.

Once you have factored the trinomial, set each factor equal to zero and solve for x. These solutions are the roots of the equation.

To know more on factoring

https://brainly.com/question/29200458

#SPJ4

Answer

Step-by-step explanation:

Answer: 17/6 or it could be 2.83 but the 3 is repeating

[tex]\cfrac{10}{4}+\cfrac{1}{3}\implies \cfrac{(3)10~~ + ~~(4)1}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{30+4}{12}\implies \cfrac{34}{12}\implies \cfrac{17}{6}\implies 2\frac{5}{6}[/tex]

By calculating the given expression , we get 5 as a final resultant.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers the use of letters or alphabets without specifying their real values. The basics of algebra taught us the way to express an unknown fee the use of letters consisting of x, y, z, and so on. those letters are known as here as variables. An algebraic expression can be a aggregate of both variables and constants. Any fee that is placed earlier than and improved with the aid of a variable is a coefficient.

Given expression ,

32- (3^2 -1 ) + 20 / 2

So by using the BODMAS rule ,

32 - (3*3  -  1 ) + 20 / 2

23 - (9 - 1 ) + 10

23 - (8) + 10

23 - 18

23 - 18

= 5

Hence, By calculating the given expression , we get 5 as a final resultant.

To learn more about Algebraic expression from the given link.

https://brainly.com/question/953809

#SPJ1

The solution of the system of equations:

4x - 6y = 12

2x + 2y = 6

is the point (3, 0).

Here we want to solve the following system of equations:

4x - 6y = 12

2x + 2y = 6

To do it, we need to graph the two equations (just find two points on the lines and connect them with lines) on the same coordinate axis and find the points where the graphs intercept, these points of interception are the solutions of the system of equations.

The graph can be seen in the image below. There we can see that the solution is the point (3, 0)

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Using probability theory, it can be concluded that the probability that he will roll at least two 1's is 2/27

Probability is a value used to measure the degree of occurrence of a random event.

P(A) = n(A) / n(S)  ,  where:

P(A) = probability of event A

n(A) = number of events A

n(S) = total number of sample

Now we take a look at the given problem. there are three fair dices in the experiment (n = 3).

Probability of events with no 1's, p(A):

p(A) = (number of sides other than one / total number of sides) ^ number of dice

= (5/6)³

= 125/216

The probability of events with exactly one 1, p(B):

p(B) = number of dice * probability of events with one 1 in one dice * probability of events other than 1's in two dices

= 3 * (number of sides other than one / total number of sides) ^ number of dice * (number of sides other than one / total number of sides) ^ number of dice

= 3 * (1/6)¹ * (5/6)²

= 75/216

Probability of events with at least two 1's, p(C):

p(C) = 1 - p(A) - p(B)

      = 1 - 125/216 - 75/216

      = 216/216 - 200/216

      = 16/216

      = 2/27

Thus, the probability that he will roll at least two 1's is 2/27

To learn more about probability, click here: https://brainly.com/question/13604758

#SPJ4

Answer:

lolololololololololololololololol

Therefore, utilizing features like split middle term, the elements of the quadratic polynomial x2 + 4x + 3 are (x+3)(x+1).

A quadratic polynomial in a single variable is represented by the equation x ax2+bx+c=0. a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions. A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.

given

Given that: x2+4x+3

                  =x2+3x+x+3,       by split middle term

                  =(x2 +3x)+(x+3),    by group pair of terms

                  =x(x+3)+1(x+3),       by factor each binomials

                  =(x+3)(x+1),             by factor out common factor (x+3)

Therefore, utilizing features like split middle term, the elements of the quadratic polynomial x2 + 4x + 3 are (x+3)(x+1).

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

If Malik gets to work in 25 minutes, he must be driving 42 mph

We know that the formula of  the speed.

speed = distance/time

Given that Malik can drive to work in 30 minutes when driving 35 mph.

Let d represents the distance to work place.

Let s1 be the speed and t1 be the time.

here, s1 = 35 mph

and t1 = 30 minutes

          = 0.5 hours

Using formula of speed,

s1 = d/t1

d = s1 × t1

d = 35 × 0.5

d = 17.5 miles

We need to find the speed if he gets to work in 25 minutes.

Using the formula of the speed,

s = d/t

here, t = 25 minutes

          = 0.4167 hour

So, s = (17.5) / (0.4167)

s = 41.99

s ≈ 42 mph

Learn more about the speed here:

https://brainly.com/question/2004627

#SPJ4

The complete question is

Malik's speed and time vary inversely. He can drive to work in 30 minutes when driving 35 mph. How fast is he likely driving if he gets to work in 25 minutes?

Answer: the equation of the line that is parallel to y = 2x + 9 and passes through the point (5,-10) is y = 2x + 20

Step-by-step explanation:

A line that is parallel to another line will have the same slope (m). The slope of the line y = 2x + 9 is m= 2.

To find the equation of the line that is parallel to y = 2x + 9 and passes through the point (5,-10), we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, and m is the slope of the line.

So, the equation of the line that is parallel to y = 2x + 9 and passes through the point (5,-10) is:

y - (-10) = 2(x - 5)

Simplifying the equation:

y = 2x + 20

So, the equation of the line that is parallel to y = 2x + 9 and passes through the point (5,-10) is y = 2x + 20

Answer:

y = 2x - 20

Step-by-step explanation:

General equation of a line is y = mx + b where m = slope and b = y-intercept

Parallel lines will have same slope but different intercepts

Given line: y = 2x + 9

Slope of this line is 2

Parallel line will have equation y = 2x + b

Since it passes through 5, 10 the value of y = - 10 must be the same as 2x+b for x = 5

Plugging in values:

- 10 = 2(5) + b

- 10 = 10 + b

-10-10 = b

b = - 20

So the equation of the line that is parallel to the line y=2x+9 and passes through the line (5,-10)

y = 2x - 20

For k = 2, the given system of equation contains no solution, hence represent parallel lines.

There are no solutions to a system with parallel lines. Observe that the slope of parallel lines is the same. The lines will have the same steepness with distinct intercepts when graphed. Since parallel lines will never connect, there is no solution to the problem.

When the graphs are parallel, a system of linear equations cannot have a solution.

For a system of equations representing parallel lines means they do not intersect, hence, have no solutions.

For a system of equations [tex]$a_1 x+b_1 y+c_1=0 ; a_2 x+b_2 y+c_2=0$[/tex] to have no solution, the condition to be satisfied is

[tex]$\frac{a_1}{a_2}=\frac{b_1}{b_2} \equiv \frac{c_1}{c_2}$$[/tex]

[tex]$\Rightarrow \frac{\mathrm{k}}{4}=\frac{-3}{-6} \equiv \frac{6}{150}$$[/tex]

For k = 2, the given system of equation contains no solution, hence represent parallel lines.

The complete question is:

The value of k, for which the system of equations k x-3 y+6=0,4 x-6 y+150 represent parallel lines is

To learn more about system of equations refer to:

https://brainly.com/question/25869125

#SPJ4

The value of x in the given ΔCSU is 17.7.

Given data :

m∠CSU = 10x + 3

m∠CUS = 30x - 13 x

The three angles form the triangle ΔCSU then the addition of them makes 180°.

ΔCSU = 180

m∠CSU = 10x + 3

10x + 3  = 180

10x  = 180 - 3

x = 177 / 10 = 17.7

So,

m∠CSU = 10x + 3

Applying the value of x

= 10 x 17.7 + 3

= 180

Learn more about Δ PQR refer to :

https://brainly.com/question/28032367

#SPJ1

Answer:

9 x 20 x 19 = 3420

6 x 18 x 21 x 19 x 20 x 1 x 20 x 9 x 14 x 7 = 15202857600

3420 x 15202857600 = 5199377299200

Therfore, the answer is 5199377299200.

Answer:

To predict when the brothers will have the same amount in their college accounts, we can set up an equation using the information given. Let x be the number of months from April.

We know that:

Nico's account balance = $2,000 + $50x

Noah's account balance = $1,600 + $100x

We want to find when the two balances are equal, so we can set the two equations equal to each other:

$2,000 + $50x = $1,600 + $100x

Now we can solve for x. Subtracting $1,600 from both sides gives:

$400 = $50x + $100x

Now we can combine like terms:

$400 = $150x

Finally, we can solve for x by dividing both sides by 150:

x = 2.67

This means that the brothers will have the same amount in their college accounts after 2.67 months or 2 months and 2 weeks.

Answer: a vertical line goes up and down

Answer: horizontal is left to right, vertical is up and down.

Step-by-step explanation: a horizontal line is the same direction as the horizon, a vertical line is perpendicular to the horizon

Answer:

Step-by-step explanation:

(9)^-5/2 = (1/9)^5/2 = (1/59049)^(5/2) = 1/(59049)^(5/2) = 1/243^(5/2) = 1/243^(5/2) = 1/(3^5)^(5/2) = 1/3^(5*5/2) = 1/3^25/2 =1/3^(25/2) = 1/3^12.5 = 1/(3^12.5) =1/3^12.5 =1/43046721 = 1/43046721