Which set of ordered pairs does not represent a function? a.{(3, 7), (–1, 9), (–5, 11)} b.{(9, –5), (4, –5), (–1, 7)} c.{(–2, 1), (3, –4), (–2, –6)}

Answer:

Below

Step-by-step explanation:

The probability of Z    given Y  would be

      7  out of (15+7) = 7/22

Step-by-step explanation:

this is a structure of medians in the main triangle.

the center point X divides each median into parts in the ratio 2:1, with X being twice as far from the originating vertex than from the midpoint of the connected side.

so, RX is twice as long as XV.

RV = 54.

RX : XV = 2:1

that means RV consists of 2+1 = 3 equal parts. 2 of these parts are RX, and one part is XV.

how long is one part ?

54/3 = 18.

RX = 2×18, and XV = 1×18

XV = 18

The required measure of the XV in the triangle is 18.

The Median is defined as the line joining the vertex of a triangle to the midpoint of the facing side of the triangle.

Triangle RST is given, which consists of median RV, TU, and SW. All the median of the triangle intersects at X.

Now, the property triangle states that the point of intersection of the median(i.e centroid) X divides the median in the ratio of 2:1,

So,XV = 1 / 3 of RV and RX = 2/3 of RV,

Now,

XV = RV/3
XV = 54 / 3
XV = 18

Thus, XV = 18.

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Answer: 1.3

Step-by-step explanation:

We know that in order to convert from percentages to decimals, we divide by 100. Therefore, 130 percent is the same as 1.3.

Answer: 1.3

Step-by-step explanation:

100% is equal to 1. Now we just have to find the value of 30%. Divide 1 by 10 and multiply by 3 to get 0.3. Since 0.3 is 30% and 1 is 100%, 130% = 1 + 0.3 = 1.3.

An easier way of converting is dividing the percentage by 100.

Answer:

–3 4/15

or

3 4/15

Step-by-step explanation:

The value of the annuity due is $39,744.59.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = [tex]P\frac{(1 + r)^n -1(1+ r)}{r}[/tex].

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, r = 10% semiannually so it is (10/2) = 5% or 0.05 and n = 8×2 = 16.

∴ A = [tex]1600\frac{(1 + 0.05)^{16} -1(1+ 0.05)}{0.05}[/tex].

A = [tex]1600\frac{(1.05)^{16} -1(1.05)}{0.05}[/tex]

A = [tex]\frac{1600(2.18 -1.05)}{0.05}[/tex].

A = (1600×1.13)/0.05.

A = $39,744.59

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If a model airplane takes off at a constant rate of 7 feet per second and the  initial velocity of 30 feet per second. The time it takes for the plane collision to occur is 1.437 sec.

Given data :

T seconds = h=7t

h=-16t^2+30x

Let t represent the time

Hence,

7t=-16t²+30x

7t=          -7t

0 =-16t² + 23t

0=-2t(8t +11.5)

0=-2t               0 =8t-11.5

0=t                   11.5/8 =8t/t

t = 11.5/8

t = 1.437 sec

Therefore the time is 1.437 sec.

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The complete question is:

a model airplane takes off at a constant rate of 7 feet per second.

At the same time, a ball is launched from ground level with an initial velocity of 30 feet per second. The height of the ball, in feet, after t seconds is given by h=-16t^2+30x Will the airplane and ball collide. Find the time it takes for the plane collision to occur .

The probability that the next chew would be a lime chew is 5%.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next chew would be a lime chew = number of lime chews / total number of chews

Total number of chews = 34 + 5 + 2 = 41

The probability that the next chew would be a lime chew = (2 / 41) x 100 = 5%

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The equation of the line that passes through (2, 3) and is parallel to 2y = 5 - 3x is: y = -3/2x + 6.

Given that the line that is parallel to 2y = 5 - 3x passes through the point (2, 3), it means both lines will have the same slope (m).

Step 1: Rewrite the 2y = 5 - 3x in slope-intercept form and determine the slope.

2y/2 = 5/2 - 3x/2

y = -3/2 + 5/2

The slope (m) is -3/2. The slope of the line that is parallel to 2y = 5 - 3x is also -3/2.

Step 2: Substitute m = -3/2 and (x, y) = (2, 3) into y = mx + b to find the value of the y-intercept (b):

3 = -3/2(2) + b

3 = -3 + b

3 + 3 = b

b = 6

Step 3: Write the equation of the parallel line by substituting m = -3/2 and b = 6.

y = -3/2x + 6

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The coordinates of point G are (-8, -10)

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments

The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.

midpoint(M) = (-6, -3)

H = (-4, 4)

let the coordinates of G be (p,q)

taking the x coordinates for M, G and H

-6 = p -4/2

cross multiply

p -4 = -12

p = -12 + 4

p = -8

taking y-coordinates

-3 = q +4/2

q + 4 = -6

q = -6 -4

q = -10

coordinates of G (-8, -10)

in conclusion the coordinates of G is ( -8, -10)

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A coin rolls a distance of 33 cm in 5 rotations is nickel coin.

A straight line that runs through the middle of a body or figure from the sideways particularly a circle or sphere is called as a diameter of a circle or sphere.

Given that a coin rolls a distance of 33 cm in 5 rotations.

So that the circumference of the coin is,

33/5 = 6.6 inch.

And the formula for circumference is π 2r, where 2r is the diameter of coin.

Now we will check the diameter of given coins and match with the required coins.

Given coins penny, nickel, dime and quarter have the diameter 1.9 cm, 2.1 cm, 1.8cm and 2.4 cm respectively.

For the coin nickel,

π (2.1) = 6.6

And every coin have different diameter.

Therefore, a coin rolls a distance of 33 cm in 5 rotations is nickel coin.

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(a) The expected value is 48 and the standard deviation is 5.366  .

(b) The probability that this year's class will beat the record is 0.0250  .

In the question ,

it is given that ,

the number of students is (n) = 120

40% of graduates will go on to college , that means (p) = 0.4

Part(a)

the expected value is E(x) is

E(x) = n*p = 120*0.4 = 48 .

the standard deviation is √np(1-q) = √120*0.4*0.6 = √28.8 ≈ 5.366

Part(b)

Using normal distribution for approximation ,

μ = 48 , σ = √28.8 and z = (x - 48)/√28.8   .

P(class will beat the record) = P(x>58)

= P(x>58.5)    continuity correlation

= P(Z > (58.5 - 48)/√28.8) = P(Z > 1.96) that is

= 0.0250 .

Therefore , (a) expected value = 48 , standard deviation = 5.366

(b) the required probability is 0.0250  .

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The complete type of bipartite graphs ,[tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] will have the maximum possible of all number incliding edges among all the present triangle-free nodes i.e., graphs with all same number of vertices.

Approach: The wide variety of edges can be most whilst each vertex of a given set has an aspect to each different vertex of the opposite set i.e. edges = m * n in which m and n are the wide variety of edges in each the sets. that allows you to maximize the wide variety of edges, m need to be same to or as near n as possible.

The two main sets are X = {A, C}, Y = {B, D}.

The vertices for the given set X join, with the vertices Y and vice-versa.

Similar proposition will always holds for bipartite planar type of  graphs: any n-vertex bipartite  graph (n ≥ 3) includes at most 2n − four edges, moreover, each n-vertex bipartite planar graph may be prolonged to an n-vertex bipartite planar graph with 2n − four edges.

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Correct Question:

Among what g will have a complete bipartite graphs  [tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] have the maximum possible number of edges among it.

There are No Real Roots possible for the Quadratic Equation

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. where x is an unknown variable and the numerical coefficients a, b, and c.

Solution:

x² - 12x + 52 = 0

Formula to Solve the equation is -b +- (D) / 2a

D is the discriminant

D = √b² - 4ac

D = √12*12 - 4*52

D = √144 - 208

D = √-64

Since the value of Discriminant is negative

Therefore there are no real roots possible for the equation

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Answer:

option 1

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 )

y = 6x + 10 ← is in slope- intercept form

with slope m = 6

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{6}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{6}[/tex] and (a, b ) = (5, - 8 ) , then

y - (- 8) = - [tex]\frac{1}{6}[/tex] (x - 5 ) , that is

y + 8 = - [tex]\frac{1}{6}[/tex] (x - 5) ← equation of perpendicular line

Community colleges in the United States play an important role in higher education. In United States, everyone monitors they community colleges are primarily her two-year institutions of higher education that focus on teaching and learning and workforce preparation.

Community colleges are open access institutions that offer economically affordable entry into higher education. About half of first-time college-going students enroll in community colleges, which serve as her transition route to four-year colleges (Beach, 2011). However, despite the important role and primary focus of community colleges, students may view community college instruction as inferior and undesirable to her four-year college (Dougherty, Lahr, & Morest, 2017; Twombly, 2001; Twombly & Townsend, 2008). This general dissatisfied view of community college instruction has much to do with the historical legacy of community colleges, where most two-year schools are either officially called "junior colleges" or "junior colleges." is called Community colleges have reason to brag about progress. It tends to have a higher proportion of female and minority teachers compared to traditional her four-year colleges (Antonio, 2002; Marcotte, Bailey, Borkowski, & Kientz, 2005; Turner, 2001). While the high recruitment rate of minority teachers is laudable, most higher education institutions are still predominantly white and male dominated (with the exception of those serving minorities). Overall, despite the high proportion of women and minority teachers, empirical studies show that such teachers experience high levels of stress and frustration with the way students are treated in the classroom. (Allen et al., 2002; Pittman, 2010). For many teachers and teachers of color, the classroom environment serves as a reminder of the unfortunate social ills that plague our society (Harlow, 2003; Seo & Hinton, 2009).

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The descending order of the polynomial is (x³ + 8y³)

The term polynomial in algebra is defined as  an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division

Here we have given that (x+2y)(x²−2xy+4y²)

And we have to multiply the polynomial and write your answer in descending order.

Here we have the polynomial (x+2y)(x²−2xy+4y²).

Now, we have to use the identity

=> a³ + b³ = ( a² − ab + b² ) ( a + b ) ,

Now, we have to apply these identity one the given polynomial, then we get,

=> ( x + 2y ) ( x² − 2xy + 4y² )

=> (x³ + ( 2 y )³) = (x³ + 8 y³) .

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To find the range of a function: consider a function y = f(x). The spread of all the y values from minimum to maximum is the range of the function. In the given expression of y, replace all the values of x to investigate whether it is positive, negative or equal to other values.

The range of a function is the complete set of all possible resulting or output values of the dependent variable (usually labeled by y), after we have replaced the domain. Typically, this will be represented by the letter y or f(x). The range is any number that you can get when you plug in any number for x.

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The corrected mean will be 17.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Helen took four tests, for which her mean score was 26.

Later on, it was found that her score in the English test was wrongly recorded as 51 instead of 15.

Now,

Since, Later on, it was found that her score in the English test was wrongly recorded as 51 instead of 15.

Hence, The correct mean = 26 - (51 - 15)/4

                                        = 26 - 36/4

                                        = 26 - 9

                                        = 17

Thus, The corrected mean will be 17.

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Answer: She had 167.57 remaining in her account

Step-by-step explanation:

You add all her expenses and then subtract it from the beginning balance

When an equation's discriminant is zero, the following is the given statement that is correct: There is just one viable solution.

Having the form ax2 + bx + c = 0, quadratic equations are second-degree algebraic expressions. The name "Quadratic" is derived from the word "Quad" which means square. A quadratic equation is an "equation of degree 2," to put it another way. A quadratic equation is employed in numerous situations.

There are a maximum of two solutions for x in the second-degree quadratic equations. These two solutions for x are denoted as (α, β) and are also known as the roots of quadratic equations.

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Answer:

The correct answer is D: 40%.

Step-by-step explanation:

To find the percentage of the pieces of fruit in the bowl that are apples, you need to divide the number of apples by the total number of pieces of fruit and then multiply the result by 100%.

So, you would do the following calculation: (6 apples / 15 pieces of fruit) * 100% = 40%.

Answer:

B) -2x+y=8

Step-by-step explanation:

First I looked at the graph and found the y-intercept and slope.

Y-intercept = 8

I found that because the point was the on the y-axis line like (0,8)

To find the slope I identified the next point. From the Y-intercept (0,8), you have to go down 8 units. Then I saw the point go left 4 units which makes it negative.

Slope = -8/4, which is also -2

Slope Intercept Equation (y=mx+b) would be: y=-2x+8

Then I compared it to the options and that's what I got.

Condense the expression:

Used property:

Expand the expression:

Used property:

Answer:

[tex]\ln(3x)^{-4}[/tex]

[tex]\ln2 + \ln x[/tex]

Step-by-step explanation:

Given expression:

[tex]-4\ln(3x)[/tex]

[tex]\textsf{Apply the power law}: \quad n \ln x=\ln x^n[/tex]

[tex]\implies \ln(3x)^{-4}[/tex]

---------------------------------------------------------------------------------

Given expression:

[tex]\ln(2x)[/tex]

[tex]\textsf{Apply the product law}: \quad \ln xy=\ln x + \ln y[/tex]

[tex]\implies \ln2 + \ln x[/tex]

Using the conversion factor we know that the penguin gained 5,350 grams of weight from a chick to an adult.

A conversion factor is a quantity or formula required to change a measurement from one system of units to another system of the same measurement.

The amount is often expressed as a fraction or ratio with a multiplication factor.

A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).

So, we know that:

1 kg = 100 g

Weight of the adult penguin: 5 1/2 kg that is,

5 1/2 = 10+1/2 = 11/2 = 5.5

5.5kg = 5500 g

Weight of the newborn penguin: 150 g

Weight gain from chick to adult:

5500 - 150

5,350 g

Therefore, using the conversion factor we know that the penguin gained 5,350 grams of weight from a chick to an adult.

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Distribution will be possible even if we do not know the true population distribution.

What is a frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

Here, the A5 sample size is infinite then the sample distribution becomes normal.  So as per the C.L.T n→∞  so distribution is normal.

Hence, Distribution will be possible even if we do not know the true population distribution.

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To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.

Here we have two triangle FHG and KJG,

The sides HF and the side JK are parallel

The length of the side of the HG and the length of the side JG are equal

HG ≅ JG

According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent

Here we have to prove that angle FHG and angle KJG are vertical angles

Here the vertical angles are congruent

Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.

I have solved the question in general, as the given question is incomplete

The complete question is:

Given: HF || JK; HG ≅ JG

Prove: FHG ≅ KJG

To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

a) FGH ≅ KGJ because vertical angles are congruent.

b) JKG ≅ HFG because vertical angles are congruent.

c) FHG ≅ JKG because right angles are congruent.

d) HFG ≅ KJG because alternate interior angles are congruent.

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Answer:

g=7

Step-by-step explanation:

To solve this equation, we need to isolate the variable g on one side of the equation. We can do this by first dividing both sides of the equation by 2. This gives us:

g - 4 = 3

Next, we can add 4 to both sides of the equation to isolate the variable g on the left side of the equation. This gives us:

g = 7

Therefore, the value of g that satisfies the equation is 7.

Answer:

Step-by-step explanation:

3/4x + 5 = 5 -2( x + 7 )

First, use Distributive Property.

-2 ( x + 7 ) --> -2x - 14

3/4x + 5 = 5 -2x - 14

Next, you can get rid of the fraction by multiplying EVERYTHING by 4...

3x + 20 = 20 - 8x - 56

Then, move x by subtracting 3x on BOTH sides...

20 = 20 - 11x - 56

Combine like terms...

20 = - 11x - 36

Add 36 on BOTH sides...

56 = - 11x

Divide -11 on BOTH sides...

56/11 = 5.09 repeating

x = 5.0909090909090909...

Correct me if I'm wrong, but there you go!

The market price in this economy equals to $9.

Basically, a market price is the amount of money for what an asset can be sold in a market. In other word, it is the cost of the products determined with respect to the point where the demand meets supply.

The value of marginal product of labor (VMPL) is equal to the marginal product of labor (MPL) multiplied by the market price (P).

In this case, to find market price, we will divide the the value of the marginal product of labor by the marginal product of labor:

= 90/10

= $9

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