Landon and Tracy walk each morning before school. They
can walk 4 blocks in 24 minutes. If they continue to walk at
the same pace, how many blocks could they walk in 42
minutes?

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Answer:

yes

Step-by-step explanation:

im assuming the "x" is multiplication so 16 x y is 16y

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

\(D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}\)

The odd multiples of 9, \(m\), in the range \(2\le m \le 82\) form the set

\(\{9,27,45,63,81\}\)

Each member of the set is a term of the arithmetic progression

\(U_n=18n+9\)

where the values of \(n\) range from 0 to 4, or \(0\le n\le 4\)

Putting these facts together, we get the result

\(D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}\)

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Answer: i think c

Step-by-step explanation:

The value of the minimum sample size required to estimate the population proportion is 438.

Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.

Given:

The margin of error, ME = 0.04,

The value of p = 0.12,

The confidence level =  99%,

Calculate the minimum sample size as shown below,

ME = z √[p(1 - p) / n]

Calculate the value of z from the table attached below considering the confidence level, z = 2.576,

0.04 = 2.576 √[0.12(1 - 0.12) / n]

Squaring both sides,

0.0016 = 6.636 × 0.12 × 0.88 / n

n = 0.7 / 0.0016

n = 437.9 or 438

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Answer:

(6*y130896+1%315£&+)

(19+!re

Answer:

  $2192.60

Step-by-step explanation:

March 4 is day 63 of the year. So, the amount of tax that Kelly needs to refund to Mason is the tax for the remaining 365 -63 = 302 days of the year.

Kelly will owe Mason ...

  (302/365)($2650) = $2192.6027 ≈ $2192.60

In the given diagram, we have a triangle with two angles labeled as (3x + 10)° and (5x - 30)°. We need to solve for the value of x.

According to the properties of triangles, the sum of the interior angles of a triangle is always 180 degrees. Therefore, we can set up the following equation:

(3x + 10) + (5x - 30) + 90 = 180

Let's simplify the equation:

3x + 10 + 5x - 30 + 90 = 180

8x + 70 = 180

Next, we'll isolate the variable term by subtracting 70 from both sides of the equation:

8x = 180 - 70

8x = 110

To solve for x, we'll divide both sides of the equation by 8:

x = 110 / 8

Now, let's calculate the value of x:

x ≈ 13.75

Therefore, the value of x is approximately 13.75.

Please note that this solution assumes the given diagram accurately represents the angle measurements, and the calculations provided are based on that assumption.

Answer:

The slope of the line is 3.

Step-by-step explanation:

Using the rise over run rule, we are able to tell the slope is 3/1, which is just 3.

Answer:

\(slope \: = \: 3\)

Step-by-step explanation:

i can determine this by using

\( \frac{rise}{run} \)

Hope this helps!

please like if it does! (:

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

16-4(3+1)

16-4×4

16-16

0

The  length of first Ribbon is 0.61 feet.

The length of second Ribbon is 2.82 feet

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

In Triangle AEB

tan 45 = P/B

1 =P/ B

P = B= 2 feet

Now, in Triangle ADC

tan 60 = (2+ ED)/ 2

2√3 = 2+ ED

ED = 2√3 - 2

ED = 2(1- √3) feet

So, the length of first Ribbon

sin 60 = P/H

√3/2 = (2 + 2 - 2√3) / H

√3/2 = (4- 2√3) / H

√3/2 = 2 (2 -√3) / H

√3H = 4(2 -√3)

√3H = 8 - 4√3

H = 8 - 4√3/ √3

H = 0.61 feet

and, the length of second ribbon

sin 45 = 2/ h

1/√2= 2/h

h = 2√2

h= 2.82 feet

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Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Answer:

The main flaw of this  proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp  and a 3 cent postage  must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage

Step-by-step explanation:

From the question we are told that

   The  proof is

Every postage stamp of three cents or more can be formed using just 3 cent and 4 cent stamps.  

 Basic Step : We can form postage of 3 cents with a single 3 cent stamp and we can form postage of 4 cents using a single four cents tamp

Inductive Step: Assume that we can form postage of j cents for all non negative integers j with j <= k using just 3 cent and 4-cent stamps. We can then form postage of k+1 cents by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps

  FLAW IDENTIFICATION

Looking the inductive step, the statement ''by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps '' means that it is possible to use a 3-cent stamp for postage that requires a 4 -cent stamp  and this is not correct according the statement in the basic step

Generally the main flaw of this  proof is that it did not take into  consideration the fact a 4 cent postage must be made with a 4 cent stamp  and a 3 cent postage  must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage

Answer:

a) 15yd

b)2.45ft

Step-by-step explanation:

P = perimeter, l=length and w = width of the rectangle

P = 2l+2w

a) 40 = 2l+2(5)

40 = 2l+10

30=2l

15=l

b) 18.4 = 2(6.75) + 2w

18.4 = 13.5+2w

4.9=2w

2.45=w

The difference between 246 and 31 tripled is

The problem is solved using subtraction

the term difference is similar to subtraction in mathematics

Then tripling is raise to power 3 or exponents of 3, hence after subtraction then exponents is applied to the end result of subtraction to give the answer

The subtraction

= 246 - 31

= 215

The exponents

= 215³

= 215 * 215 * 215

= 9938375

'

On the second thought, we have a different answer in this case

= 246 - 31³

= 346 - 31 * 31 * 31

= -29545

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By answering the presented question, we may conclude that Evidence expression that is unrelated to the matter at hand may be rejected.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Evidence that is unrelated to the matter at hand may be rejected.

Hearsay is an out-of-court statement made for the truth of the thing expressed, and it is normally excluded from trial unless an exemption applies.

Evidence concerning a person's character or reputation may be excluded if it is provided to demonstrate that the individual acted in line with that character.

Some forms of information, such as attorney-client or doctor-patient conversations, are considered confidential and may be omitted from trial.

Prejudicial Effect: Information that is strongly prejudicial to one party or the other may be removed if the risk of undue prejudice, misunderstanding of the issues, or deceiving the jury outweighs its probative value.

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Answer:

540 degrees

Step-by-step explanation:

Triangles ( 3 sides )

180 degrees

Squares ( 4 sides )

360 degrees

Pentagon ( 5 sides)

540 degrees

Hexagon ( 6 sides )

720 degrees

Any Polygon can be calculated using this formula:

n = number of sides

(n - 2) * 180 degrees

*Note, this is only for the sum of the interior angles. Exterior angles on polygons are ALWAYS equal to 360 degrees.

Answer:

see uploaded image

Step-by-step explanation:   5 30  10 04

x(x+3)²(x-1)(x-3)²

I attached my guess, since I don't see any graphs.  

NOTE the x axis scale change on my submission.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -3 has an even multiplicity of 2 so it only touches and does not cross through.

Root 0 has an odd multiplicity of 1 so crosses through.

Root 1 has an odd multiplicity of 1 so crosses through.

Root 3 has an even multiplicity of 3 so it only touches and does not cross through.

Knowing this, only the first and second graphs are possible answers.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

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The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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Answer:

\(\huge \pink{ \boxed{ \sf{ \green{αηsωεя}}}} \ \)

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

Answer:

2.7 in²

Step-by-step explanation:

similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.

so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.

in other words

EF = BC × 2/3

2 = 3 × 2/3

correct

how do we calculate the area of a triangle ?

Area = baseline × height / 2

from BAC we know

Area = 6

baseline = 3

height = ?

6 = 3 × height / 2

12 = 3 × height

height = 4

aha !

now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3

so, for EDF we know

Area = ?

baseline = 2

height = 4 × 2/3 = 8/3

therefore, the area is

Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7

the shirt answer would be :

we know from the 2 baselines that the scaling factor for each distance is 2/3.

for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.

2/3 × 2/3 = 4/9

=>

Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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Answer:

35%

Step-by-step explanation:

52/80=0.65

0.65x100=65

65% is the percent that she has read.

100%-65%= 35%

She has not read 35% of the pages.

Answer:

She hasn't read 35% of the book

Step-by-step explanation:

1st way: Since 80 pages represent 100%

52 pages represent 100 * 52 / 80 = 65% pages read

100 - 65 = 35 pages page not read.

2nd way: 80 - 52 = 28 pages not read

28 pages represent 100 * 28 / 80 = 35% pages not read

The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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Answer:

yeah, it is 35.77

Step-by-step explanation:

:)))))

The numbers in the set can be compared by placing them in the number line, arranging the numbers from least to greatest as follows;

\(|-2\frac{1}{2} |\), \(-\frac{1}{2}\), \(1\frac{1}{2}\), \(|\frac{1}{2} |\) |-2|, \(-2\frac{1}{2}\)

A number line is a series of numbers placed on the a line at regular intervals that can be used to express mathematical operations.

The elements in the set includes;

|-2 1/2|, -1/2, 1 1/2, |1/2|, |-2|, -2 1/2

The numbers within the absolute sign have a positive result, therefore;

|-2 1/2| = 2 1/2

|-2| = 2

The numbers in the set can be arranged in the order from least to the greatest as follows;

The above ordered numbers indicates that the specified numbers arranged in order from least to the greatest are;

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Question:

Consider the line which passes through the point P(-5, 1, 4), and which is parallel to the line x=1+7t,y=2+1t,z=3+7t. Find the point of intersection of this new line with each of the coordinate planes: xy-plane, xz-plane and yz-plane.

Answer:

The line intersects the xy plane at (-3, \(\frac{11}{7}\), 0)

The line intersects the xz plane at (-13, 0, -11)

The line intersects the yz plane at (0, \(\frac{13}{7}\), 2)

Step-by-step explanation:

Vector form of a line can be written as;

r(t) = r₀ + vt

Where;

r₀ = position vector of the point where the line passes through

v = direction or slope vector of the line.

From the question, we have a line passing through the point P(-5, 1, 4). This means that;

r₀ = (-5, 1, 4)

Also, the line is parallel to another line with parametric equations:

x=1+7t ------------------(i)

y=2+1t ----------------(ii)

z=3+7t ---------------(iii)

Since the first line is parallel to the second line, then their gradient or slope vector must be the same. This means that;

v = (7, 1, 7)           [which are the coefficients of t in the parametric equations]

Therefore, the first line can be written as;

r(t) = (-5, 1, 4) + (7, 1, 7)t

Now, to get the point of intersection of this line with each of the coordinates;

(i) The line will intersect the the xy plane when z = 0

Substitute z = 0 into equation (iii)

0 = 3 + 7t

t = \(\frac{-3}{7}\)

Now substitute t = \(\frac{-3}{7}\) into equation(i)

x = 1 + 7(\(\frac{-3}{7}\))

x = -3

Also, substitute t = \(\frac{-3}{7}\) into equation (ii)

y = 2 + 1(\(\frac{-3}{7}\))

y = \(\frac{11}{7}\)

Therefore, the line intersects the xy plane at (-3, \(\frac{11}{7}\), 0)

(ii) The line will intersect the xz plance when y = 0

Substitute y = 0 into equation (ii)

0 = 2 + 1t

t = -2

Now substitute t = -2 into equation(i)

x = 1 + 7(-2)

x = 1 - 14

x = -13

Also, substitute t = -2 into equation (iii)

z = 3 + 7(-2)

z = 3 - 14

z = -11

Therefore, the line intersects the xz plane at (-13, 0, -11)

(iii) The line will intersect the yz plane when x = 0

Substitute x = 0 into equation (i)

0 = 1 + 7t

t = \(\frac{-1}{7}\)

Now substitute t = \(\frac{-1}{7}\) into equation(ii)

y = 2 + 1(\(\frac{-1}{7}\))

y = \(\frac{13}{7}\)

Also, substitute t = \(\frac{-1}{7}\) into equation (iii)

z = 3 + 7(\(\frac{-1}{7}\))

z = 3 - 1

z = 2

Therefore, the line intersects the yz plane at (0, \(\frac{13}{7}\), 2)