Frequency tables are more versatile than line plots because you can change
the size of the groupings on the horizontal axis depending on how detailed of
a graph you want.
о A. True
O B. False

The demand curve slope to P = 2 - 0.0025·Q is -0.0025

The slope of a line is the ratio of the rise of the line (vertical distance), divided by the horizontal distance of the line.

The equation of the demand curve is; P = 2 - 0.0025·Q

The possible question is to graph the demand curve.

Let P represent the price of the item in dollars, and let Q represent the quantity demanded, we get the following table, with which the graph of the demand curve can be plotted

Price($) [tex]{}[/tex]         Quantity Demanded

2                     [tex]{}[/tex]         0

1.75                     [tex]{}[/tex]     100

1.50                   [tex]{}[/tex]       200

1.25                     [tex]{}[/tex]     300

1.00               [tex]{}[/tex]           400

0.75                     [tex]{}[/tex]     500

0.5                     [tex]{}[/tex]       600

0.25                     [tex]{}[/tex]     700

0                     [tex]{}[/tex]           800

The above points, obtained by using the equation function of MS Excel,  can be used to plot the graph of the Demand function.

The slope of the graph, using any two points, is found as follows;

Slope = (1.75 - 2)/(100 - 0) = -0.0025

The other characteristics of the line includes;

The x-intercept, the point at which P is 0 is obtained as follows;

P = 2 - 0.0025·Q = 0

At the x-intercept; 2 = 0.0025·Q

Q = 2/0.0025 = 800

The x-intercept is the point where the quantity, Q, is 800

The y-intercept, the point where, the quantity, Q, is 0 is found as follows;

P = 2 - 0.0025·Q

Q = 0, P = 2 - 0.0025 × Q = 2

The y-interceprt is the point where the price is $2

Please find attached the required graph of the demand function created with MS Excel.

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Answer:300

Step-by-step explanation:

THe value of the expression using BODMAS rule is 26

The abbreviation BODMAS, which stands for "Brackets, Order of powers or roots, Division, and Multiplication," is followed by the BODMAS rule. A stands for addition and S for subtraction. According to the BODMAS rule, multi-step mathematical statements must be solved in the BODMAS order from left to right.

The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement. Math is all about logic, and there are several established laws that help us with our calculations. BODMAS is one of the established rules for consolidating multiple operator expressions.

An expression or equation in mathematics has two parts:

A character known as an operator joins two integers to form an expression or equation. The four most often used operators in mathematics are addition (+), subtraction (-), multiplication (*), and division (*/*). Finding the solution to mathematical statements or equations with just one operator is usually rather easy.

The expression is 14 + 2 + 3(4) - (6-1-3) = 14 + 2 + 12 - 2 = 26

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-1 x-intercepts in the graph.

Explanation:

Y = X^3 - 1

Put y = 0 , x = -1.

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The population density of Rio de Janeiro in people per square meter is 5. 377 x 10 ⁻³ people per m²

To find the population density in meters squared when given the population density in kilometers squared, you first need to find the conversion factor between kilometer squared and meters squared.

1 kilometer squared is equal to 1, 000, 000 meters squared.

The population density of Rio de Janeiro in meters squared is therefore:

= Population density in kilometers squared / Conversion factor

= 5, 377 / 1, 000, 000

= 0. 005377

= 5. 377 x 10 ⁻³ people per m²

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The full question is:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

An ordered pair which best represents the location of point R′ include the following: B. (−3n, −5n).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (Triangle TRW) by using a scale factor of n centered at the origin as follows:

Ordered pair T (-3, 5) → Ordered pair T' (-3 × n, 5 × n) = Ordered pair T' (-3n, 5n).

Ordered pair R (-3, -5) → Ordered pair R' (-3 × n, -5 × n) = Ordered pair R' (-3n, -5n).

Ordered pair W (4, -5) → Ordered pair W' (4 × n, -5 × n) = Ordered pair W' (4n, -5n).

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Complete Question:

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R′?

answer choices

(-3/n, -5/n)

(−3n, −5n)

(−3+n,−5+n)

(−3−n,−5−n)

The arrangement of 26/4, 6.45, 6 2/5, and 50/8 in order from least to greatest is C. 50/8, 6 2/5, 6.45, 26/4.

The concept that will be used here is ordering of numbers using < signs.

To arrange the  shows, we can convert 26/4, 6.45, 6 2/5, and 50/8  to decimal so this will help us to determine the order.

26/4=6.50

6.45=6.45

6 2/5=32/5 = 6.40

50/8 =6.25

Then 6.25<6.40 <6.45 <6.50 and this implies that the order that the arrangement follows is 50/8, 6 2/5, 6.45, 26/4

Therefore, option C is correct.

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Answer:

[tex]x=29^{\circ}[/tex]

Step-by-step explanation:

Please refer to the picture attached as I labeled the angles.

Given

[tex]\angle{B}=90^{\circ}[/tex]

[tex]\angle{ADB}=58^{\circ}[/tex]

[tex]AD=CD[/tex]

[tex]\angle{ACD}=\angle{CAD}[/tex] which also equals x in your picture.

We need to use the Exterior Angle Property to evaluate x.

This property states that the exterior angle equals sum of two interior opposite angles.

[tex]\angle{ACD}+\angle{CAD}=58^{\circ}[/tex]

Substitute x for [tex]\angle{ACD}[/tex] and [tex]\angle{CAD}[/tex].

[tex]x+x=58^{\circ}[/tex]

Add x and x.

[tex]2x=58^{\circ}[/tex]

[tex]x=29^{\circ}[/tex]

Answer:

The angle is 32

Step-by-step explanation:

The formula for the sum of interior angles is [tex](n-2)180[/tex]

We have a triangle inside a triangle.

A triangle has 3 sides.

[tex](n-2)180\\(3-2)180\\1(180)\\180[/tex]

The picture shows us an angle of 90 and 58.

All 3 angles must add up to 180.

[tex]180-90-58[/tex]

[tex]x=32[/tex]

Answer: The volume of a rectangular container is given by the formula:

Volume = length * width * height

In this case, the length of the container is 20 feet, the width is 8 feet, and the height is 8 feet.

So the volume of the shipping container can be calculated as:

Volume = 2088 = 1,360 cubic feet

So, the volume of the shipping container is 1,360 cubic feet

Step-by-step explanation:

Answer:

92.1

Step-by-step explanation:

0.33 is smaller then 92.1, so 92.1 would be longer.

(I was the one who gave it a 1 star since I was fooling around, lol)

97.03% probability that 15 or more of them would agree with the claim.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = [tex]C_{n,x} p^x (1-p)^{n-x[/tex]

where [tex]C _{n,x[/tex] = n! / r! (n-r)!

And p is the probability of X happening.

75% of adults believe that an unattractive smile hurts career success.

p = 0.75

and n = 75

Now, the probability that 15 or more of them would agree with the claim

P(X≥ 15) = 1 - P(X< 15)

So, P(X< 15) = P(X=0) + P(X=1) + P(X=2) + ..........................P(X=14)

and, P (X = 14) = [tex]C_{25, 14} (0.75)^{14} (0.25)^{11[/tex] = 0.0189

P (X = 13) = [tex]C_{25, 13} (0.75)^{13} (0.25)^{12[/tex] = 0.0074

P (X = 12) = [tex]C_{25, 12} (0.75)^{12} (0.25)^{13[/tex] = 0.0025

P (X = 11) = [tex]C_{25, 11} (0.75)^{11} (0.25)^{14[/tex] = 0.0007

P (X = 10) = [tex]C_{25, 10} (0.75)^{10} (0.25)^{15[/tex] = 0.0002

P (X = 9) = [tex]C_{25, 9} (0.75)^{9} (0.25)^{16[/tex] = 0

Then, P(X< 15)

= P(X=0) + P(X=1) + P(X=2) + ..........................P(X=14)

= 0.0002+0.0007+0.0025+0.0074+0.0189

= 0.0297

and, P(X≥ 15) = 1 - P(X< 15)

= 1- 0.0297

= 0.9703.

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Answer:

B

Step-by-step explanation:

take square on both sides,

7x-4 = 4x

so, x = 4/3

Answer:

yes

Step-by-step explanation:

Answer: I think it is 1,200

Step-by-step explanation:  search it up

Answer:

=−42.875x6+0.24

Step-by-step explanation:

−58.8

−245

+(−3.5x2)3

=0.24+−42.875x6

Answer:We have,

f(x,y,z)=2x

2

+y

2

+2z=3

∂x

∂f

​

=4x,

∂x

∂f

​

=2y,

∂x

∂f

​

=2z

Step-by-step explanation:

good luck :}

For f(x) = 1 the value of x is 0, -6, and the value of the function at x= 4 or f(4) is -3.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, a function f(x) in the graph

f(x) = y

F(X) represents the function value at various values of x

From graph,

f(4) = -3

Because at x = 4, y = -3

at f(x) = 1

since f(x) = y

y = 1

satisfying at two values of x that are -6, 0

Therefore, For f(x) = 1 the value of x is 0, -6 and the value of f(4) is -3.

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Complete question:

If 1% of a number equals 5, find 2% of that number is 2

Algebraic expressions are described as expressions composed of variables, constants, factors, coefficients and terms.

Arithmetic operations also make up these expressions, they are;

Also, fractions are described as part of a whole element, number or variable

From the information given, we have that;

1% of a number is 5

Let the number be x

1/2x = 5

Make 'x' the subject

x = 10

Substitute the value

2/10 of x

2/10 × 10

2

Thus, the value is 2

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Answer:

Okay so since she has 80 dollars, and already spent 25, then she would have 55 dollars remaining.

Now that she has 55 dollars, she will divide it up evenly between her 4 friends.

55/4 = 13.75

The most that she would be able to give them is $13.75

Step-by-step explanation:

Hope it helps! =D

Answer:

(g ○ f)(x) = 5x² + 38

Step-by-step explanation:

to find (g ○ f)(x) substitute x = f(x) into g(x) , that is

g(f(x)

= g(x² + 8)

= 5(x² + 8) - 2

= 5x² + 40 - 2

= 5x² + 38

Answer: 9/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

20 m i think

Given:

We have two pairs of congruent angles and the included sides are congruent. It gives us ASA congruence. AB ≅ DE as corresponding parts of congruent triangles.

     Statement                                       Reason                

Given:

We have two right triangles with common leg and the other pair of legs are congruent as bisected segment. We get SAS congruence with two sides and included right angle.

     Statement                                       Reason                

Given:

ΔABC and ΔCDB are right triangles with common hypotenuse and congruent pair of legs. It gives us HL congruence and it proves the corresponding angles are congruent.

     Statement                                       Reason                

The value for the expression, (f * g)(x) is calculated as: C. 8x³ - 12x² - 6x -1

How to Evaluate the Expressions of Functions?

We are given the following functions,

f(x) = 4x² – 4x + 1 and g(x) = 2x – 1.

To find the value of the expression, (f * g)(x), it means we have to multiply the functions together. See the steps explained below.

(f * g)(x) = f(x) * g(x)

Plug in the values:

(f * g)(x) = f(x) * g(x) = (4x² – 4x + 1)(2x – 1)

(f * g)(x) = 4x²(2x – 1) - 4x(2x – 1) + 1(2x – 1)

Apply the distribution property of equality:

(f * g)(x) = 8x³ – 4x² - 8x² + 4x + 2x – 1

Combine like terms:

(f * g)(x) = 8x³ - 12x² - 6x - 1

Therefore, the answer is: C. 8x³ - 12x² - 6x - 1.

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Estimate the amount that Gabe spent if he bought 4 items will be $102.36.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Gabe goes to the mall. If d is the number of items he bought, the expression 13.09 d plus 28 gives the amount he spent in dollars at one store. Then he spent 22 dollars at another store.

Then the equation that represents the total amount is given as,

T = 13.09d + 28 + 22

T = 13.09d + 50

Then estimate the amount that Gabe spent if he bought 4 items will be given as,

T = 13.09(4) + 50

T = 52.36 + 50

T = $102.36

Estimate the amount that Gabe spent if he bought 4 items will be $102.36.

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The probability of getting a Kit Kat and then a Milky Way candy bars is the fraction 5/44

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

total number of candy bars = 12

probability of first getting a Kit Kat candy bar = 5/12

probability of then getting a Milky Way candy bar = 3/11

probability of getting a Kit Kat and then a Milky Way candy bars = 5/12 × 3/11

probability of getting a Kit Kat and then a Milky Way candy bars = 5/44

Therefore, the probability of getting a Kit Kat and then a Milky Way candy bars is the fraction 5/44.

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Y is 275.Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation.

Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is typically put before constants when arranging the terms in the same sequence. The two phrases are equal if each of the terms in both of them is the same.

Explanation:

x 2 + xy+xz=135; y 2 + yz+ xy=351; z 2 + xz+ yz=243; (iii)

When I (ii), and (iii) are added together, we obtain x 2 + y 2 + z 2 + 2(xy+yz+xz) = 729, which converts to (x+y+z) 2 = 27 2.

x+y+z=27

........

(iv)

According to equation I x 2 + x y + x z = 135 => x(x+y+z) = 135 => x27=135 => x=5

In equation (ii), we have y 2 + y z + x y = 351, which leads to y (x+y+z) = 351.

y×27=351 \s=>

y=13

Once more, we obtain the following from equation (iii): z 2 + x z + y z = 243; z (x + y + z) = 243; z 27 = 243.

z=9 \sx \s2 \s +y \s2 \s +z \s2 \s =5

2 \s +13 \s2 \s +9 \s2 \s =275.

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