The following histogram shows the number of items sold at a grocery store at various prices:


Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.


Which of the following data sets is represented in the histogram?


{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}

{2, 4, 0, 1}

{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}

{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}

Answer:

A. -10

B. -1

C. 5

Step-by-step explanation:

A. 3x-4 = 3(-2)-4 = -10

B. 3x-4 = 3(1)-4 = -1

C. 3x-4 = 3(3)-4 = 5

Answer:

a. is equal to -10

b. is equal to -1

c. is equal to 5

Step-by-step explanation:

a :

3(-2)-4

-6-4

-10

b :

3(1)-4

3-4

-1

c :

3(3)-4

9-4

5

These are the correct answers,please mark brainliest.

The calculated value of x in the figures a and b is 12 units

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

The similar triangles

Where

Ratio =  1 : 3

Figure a is smaller than figure b

So, we have

a : b = 1 ; 3

Figure a to the right has a 4

So, we have

4 : x = 1 ; 3

This means that

x/4 = 3/1

So, we have

x = 4 * 3/1

Evaluate

x = 12

Hence, the value of x is 12

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Question

Figure a is a scale image of figure b the scale that maps figure a onto figure b is 1:3

Both figures are triangles

Figure a is smaller than figure b

Figure a to the right has a 4

Figure b to the right has a x

Answer:

honestly i got 273.6 so i'm thinking that he would have to pay about 273 times........

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

Answer:

\(y=\frac{-1}{6}x-\frac{10}{3}\)

Step-by-step explanation:

Slope intercept form of the equation of a line is \(y=mx+b\) where m denotes the slope of line and \(b\) denotes the y-intercept.

Equation of a line u is \(y=6x+6\)

Here, slope of line u = m = 6

As the line v is perpendicular to line u, product of slopes of both the lines is equal to \(-1\).

Slope of line v  \(=\frac{-1}{6}\)

So, slope intercept form of the line v is \(y=\frac{-1}{6}x+b\)

As point \((10,-5)\) lies on the line v, put \((x,y)=(10,-5)\) in equation \(y=\frac{-1}{6}x+b\)

\(-5=\frac{-1}{6}(10)+b\\-5=\frac{-5}{3}+b\\ -5+\frac{5}{3}=b\\\frac{-15+5}{3}=b\\\\\frac{-10}{3}=b\)

Equation of line v is \(y=\frac{-1}{6}x-\frac{10}{3}\)

Answer:

FH = 7

Step-by-step explanation:

Look at the figure below.

In this problem, we use twice the definition of a point between two points.

Point F is between points E and G, so

EF + FG = EG

Point G is between points F and H, so

FG + GH = FH

From point F being between points E and G, we have:

EF + FG = EG

We are shown that EF = 8 and EG = 10.

8 + FG = 10

FG = 2

From point G being between points F and H, we have:

FH = FG + GH

We calculated FG = 2, and we are shown that GH = 5.

FH = 2 + 5

FH = 7

The calculations for the slope-intercept forms of the equations are (1) m=-\(\frac{3}{4}\),B=2  (2)m=1, B=5  (3) m=-1, B=6

How to use the Slope -intercept form?

Slope of a line is a number that describes both the direction and the steepness of the line.

The intercept of a line is defined as the point at which it intersects the y-axis in a graph.

The equation of a line is expressed as follows;

Y=MX+B

Where M=slope and B=intercept

From the equations:

(1) y<\(\frac{-3x}{4}\)+2

Applying the equation of slope-intercept form,

m=\(\frac{-3}{4} , B=2\)

(2) Y\(\leq 5\)

Applying the equation: Y=MX+B

m=1,  B=5

(3) x+y>6

Applying the formula: Y=MX+B

Re-arrange the equation

y>-x+6(1)

⇒ m=-1, B=6

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Answer:

2.08 × \(10^{7}\)

Step-by-step explanation:

Multiply 4 × 5.4 to get 20.8. Then multiply \(10^{-2}\) × \(10^{8}\) = \(10^{6}\)

However, that is not an answer. So, you can divide 20.8 by 10 and multiply \(10^{6}\) × 10.

Then you get 2.08 × \(10^{7}\)

The congruent corresponding parts are PQ & TS, QR & SR and PR & TR

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

PQR is congruent TSR

using the above as a guide, we have the following:

When two points are combined, we have the congruent corresponding parts to be:

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The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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Answer:

x  = 7.99952994

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

mark me brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

by definition :It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

example:  exponential growth

y=2^x

exponential decay

y=(1/2)^x

Answer:

move 6 places right (1kg=10^6mg=1,000,000mg)

Step-by-step explanation:

ex:

1kg= 1,000,000mg

39kg=39,000,000

4.2kg=4,200,000

Step-by-step explanation:

remember,

x^-n = 1/x^n

any negative exponent of 1.3 means we have to consider it as 1/1.3 with the positive exponent.

so, if the given temperature (x) is negative, 1.3 has a positive exponent and gets bigger and bigger the lower (smaller) x gets.

if the given temperature (x) is positive, 1.3 has a negative exponent and gets smaller and smaller the higher (bigger) x gets.

the domain is the interval or set of all valid x-values.

there is no need for any restriction for x.

so, the domain is all real numbers.

the question is : up to what temperature will there be heating ?

at 5°C ? yes, sure.

at 10°C ? yes, sure.

at 15°C ? some people still need heating.

at 20°C ? most likely not.

but f(20) = $0.042094266... ≈ $0.04

so, still a tiny little bit of heating is happening for the function, but in reality most likely not at all.

the information about such a limit is missing in the question. so, again no limit for x.

f(-8) means that x = -8.

f(-8) = 8(1.3)^--8 = 8(1.3)⁸ = 8×8.15730721 =

= 65.25845768

when the low outside temperature is -8°C, it would cost $65.26 to heat the building.

I don't know the answer options to the last part, but the interpretation certainly is in the context of the problem.

triangles are similar by the Angle Bisector Theorem.

\(\cfrac{10x-2}{7x}=\cfrac{8x}{5x+3}\implies \stackrel{ F~O~I~L }{(10x-2)(5x+3)}=(7x)(8x) \\\\\\ 50x^2+20x-6=56x^2\implies 20x-6=6x^2\implies 0=6x^2-20x+6 \\\\\\ 0=2(3x^2-10x+3)\implies 0=3x^2-10x+3 \\\\\\ 0=(3x-1)(x-3)\implies x= \begin{cases} \frac{1}{3}\\\\ 3 \end{cases}\)

now, both values are positive and valid, and both are feasible values of "x", so both are good.

The question is incomplete, let's take an hypothetical value for the Area of the circle ;

Let the are aid the circle = x in²

Answer:

Kindly check explanation

Step-by-step explanation:

The scale factor = 5/4

The initial area of square = x in²

The area of the circle after dilation will be :

Scale factor * initial area of circle

5/4 * x in²

Area after dilation = 5/4(x) in²

Just substitute the original value of the square for X in the solution to obtain the exact answer.

A.

a number that can be written as a fraction but not as a decimal I think

Answer:

39.99 + 0.45a = 44.99 + 0.40a you're welcome (:

The probability that all of the first 4 speakers will be history majors is 1/7 or approximately 0.143.

Explain probability

Probability is a mathematical concept used to determine the likelihood of an event occurring. It is represented by a number between 0 and 1, where 0 means the event is impossible and 1 means it is certain. Probability theory is widely applied in fields like science, engineering, and finance to analyze and predict the outcomes of random events.

According to the given information

The total number of ways to choose 4 students from 7 is given by the combination formula:

C(7, 4) = 7! / (4! * 3!) = 35

Out of the 7 candidates, 5 are history majors. So, the number of ways to choose all 4 candidates to be history majors is given by the combination formula:

C(5, 4) = 5! / (4! * 1!) = 5

Therefore, the probability of selecting 4 history majors out of 4 speakers is:

P = 5/35 = 1/7

So the probability that all of the first 4 speakers will be history majors is 1/7 or approximately 0.143.

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The distance from the point (2, 1) is double it's distance from (1, 2)​ is 2.8

The distance between two points in a 2D Cartesian coordinate system is the length of the path connecting them. The shortest path distance is a straight line. The Pythagorean theorem states that the distance between points (X1, Y1) and (X2, Y2) is given by the formula [(x2 x1)2 + (y2 y1)2], where (x1, y1) and (x2, y2) are two points on the coordinate plane.

Distance = √(y₁-y₂)² + (x₁-x₂)²

distance = √(2-1)² + (1-2)²

the distance = √1+1

The distance = √2 = 1.4 = 2*1.4 = 2.8

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Answer:

\(\{(2,8),(2,1),(-9,-5),(-8,9)\}\) is not a function

Step-by-step explanation:

Given

\(\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}\)

\(\{(5,9),(-3,-5),(0,4),(-9,9)\}\)

\(\{(9,0),(-5,4),(5,0),(6,3)\}\)

\(\{(2,8),(2,1),(-9,-5),(-8,9)\}\)

Required

Which is not a function

A function is of the form \((x,y)\)

Assume a function is:

\(\{(x_1,y_1),(x_2,y_2),(x_3,y_3).....,(x_n,y_n)\}\)

In simple terms:

For an ordered pair to be regarded as a function, no x value must be repeated

Analyzing the options:

1. \(\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}\)

This is a function because none of the x values (-3, 8, 0 and -9) appeared more than once

2. \(\{(5,9),(-3,-5),(0,4),(-9,9)\}\)

This is a function because none of the x values (5, -3, 0 and -9) appeared more than once

3. \(\{(9,0),(-5,4),(5,0),(6,3)\}\)

This is a function because none of the x values (9, -5, 5 and 6) appeared more than once

4. \(\{(2,8),(2,1),(-9,-5),(-8,9)\}\)

This is not a function because one of the x values (2) appeared more than once.

i.e.

\((2,8)\)   and   \((2,1)\)

There are 45 games played in a season of the youth soccer league with 10 teams.

In a youth soccer league with 10 teams, each team will play against every other team exactly once.

To determine the number of games played in a season, we can use the combination formula, which calculates the number of ways to choose 2 teams from a set of 10 teams. Each combination represents a unique game.

The formula for combinations, also known as the binomial coefficient, is:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of items and r is the number of items to be chosen.

In this case, we have 10 teams, and we need to choose 2 teams for each game.

Using the combination formula, we can calculate the number of games played as:

C(10, 2) = 10! / (2! * (10 - 2)!)

= 10! / (2! * 8!)

= (10 * 9) / (2 * 1)

= 45

Therefore, 45 games are played in a season.

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Answer:

The measure of the sum of interior angles of a 11-gon is \(1620^{o}\).

Each interior angle is approximately \(147.273^{o}\).

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than \(180^{o}\).

But,

sum of interior angles of polygon = (n - 2) x \(180^{o}\)

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x \(180^{o}\)

                                         = 9 x \(180^{o}\)

                                         = \(1620^{o}\)

Sum of angles of a 11-gon = \(1620^{o}\)

To check: convex polygons' interior angles are less than \(180^{o}\).

so that,

each interior angle of 11-gon = \(\frac{1620}{11}\)

                                        = \(147.273^{o}\)

A parallelogram possesses rotational symmetry of order 2, but no line symmetry.

The rotational symmetry of a parallelogram:

Therefore, a parallelogram possesses rotational symmetry of order 2, but no line symmetry.

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Answer:

in picture ....

Step-by-step explanation:

To fcalculate the magnitude of the average force exerted on the ball by the club, we can use the equation:

F_av = Δp/Δt

where F_av is the average force, Δp is the change in momentum, and Δt is the time of contact.

Given:

Mass of the ball, m = 65.0 g = 0.065 kg

Time of contact, Δt = 0.00340 s

Final velocity of the ball, v_f = 56.0 m/s

Initial velocity of the ball, v_i = 0 (assuming the ball is initially at rest)

The change in momentum, Δp, can be calculated using the equation:

Δp = m * (v_f - v_i)

Substituting the given values:

Δp = 0.065 kg * (56.0 m/s - 0)

Now we can calculate the magnitude of the average force:

F_av = Δp/Δt

Substituting the values:

F_av = (0.065 kg * 56.0 m/s) / 0.00340 s

Calculating the result gives us:

F_av ≈ 1070 N

Therefore, the magnitude of the average force exerted on the ball by the club is approximately 1070 N.

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Answer: the answer is x=0

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

The constant of proportionality is 1/4.

Answer:

b

Step-by-step explanation:

The form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = \(\frac{1}{4}\) x ← is in standard form

with k = \(\frac{1}{4}\)