2. Is she right or wrong? Explain. If she is wrong, tell how much carpet she needs. (
Michele is buying carpet for a room with the dimensions shown. 10 ft 8 ft 12 ft 4 ft 15 ft Michele calculates that the area she will cover with carpet is 180 square feet.​

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

To find the standard matrix for the linear transformation T: T(x, y) = (x + 6y, x - 4y), we need to determine the image of the standard basis vectors (1, 0) and (0, 1) under T.

Let's start with the standard basis vector (1, 0):

T(1, 0) = (1 + 6(0), 1 - 4(0)) = (1, 1)

The image of (1, 0) is (1, 1). Therefore, the first column of the standard matrix will be (1, 1).

Next, let's consider the standard basis vector (0, 1):

T(0, 1) = (0 + 6(1), 0 - 4(1)) = (6, -4)

The image of (0, 1) is (6, -4). Therefore, the second column of the standard matrix will be (6, -4).

Putting it all together, the standard matrix for the linear transformation T is:

| 1   6 |

| 1  -4 |

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Answer:

c≤  24/25

​

Step-by-step explanation:

"0.3" was replaced by "(3/10)". 2 more similar replacement(s). Simplify 3/10

    61     3      

 (—— -  ——) -  (c + 1)  ≥ 0    then simplify 61/10

  10    10    

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

    61 - (3)                   29

————————  =  ——

     10                          5

29    

 —— -  (c + 1)  ≥ 0  

 5    

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

            c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

              1            5      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Rewrite the whole as a fraction using  5  as the denominator :

                         c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

                             1            5    

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

                              29 - ((c+1) • 5)     24 - 5c

————————————————  =  ———————

                                          5                5

    24 - 5c

 ———————  ≥ 0  

      5    

Multiply both sides by  5  

5.2    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     5c-24  ≤ 0

5.3    Divide both sides by  5  

     c-(24/5)  ≤ 0

5.4      Add  24/5  to both sides

            c ≤ 24/5

Answer:

wehj

Step-by-step explanation:

Answer:

justification: A tangent is defined as "a straight line that touches a curve or curved surface at a point, but if extended does not cross it at that point." As you can see in the diagram, the line does not extend, which means there are two common tangents. (this is actually a diagram for two common tangents im pretty sure. wouldnt make since otherwise)

Answer:129.3

Step-by-step explanation:

The mean of height of 40 students in a class is, 129.3 cm

In one of the branches of mathematics called statistics, We use one term known as mean; it generally tells us what is the central tendency of the data set.

In simple words, mean is an average of all the dataset.

formula;

Mean = Sum of all the dataset/Total number of dataset

Given that,

The table of heights of 40 student in a class,

The table shows the heights of 40 students in a class.

Height (h) in cm      Frequency(f)     Midpoint(m)       mf        

120 < t < 124                   7                   122                     854

124 <t< 128                     8                   126                     1008

128 <t< 132                     13                  130                     1690

132 < t < 136                   9                   134                      1206

136 < t < 140                   3                   138                       414

                                      40                                              5172

Mean =   mf / m

         =   5172/40

         =   129.3  

Hence, the mean height is 129.3 cm  

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Answer:

  C.  The point where the perpendicular bisectors of the three sides of the triangle intersect.

Step-by-step explanation:

A number of centers of a triangle are defined. The circumcenter is the center of the circumscribing circle. The incenter is the center of an inscribed circle. The centroid is the center of balance of a triangle of uniform mass density.

The centers defined by descriptions A through D are ...

  A. centroid -- coincident point of medians

  B. incenter -- coincident point of angle bisectors

  C. circumcenter -- coincident point of side perpendicular bisectors

  D. orthocenter -- coincident point of altitudes

These statistical measures help the researcher summarize, describe, and understand the data collected from the study participants.

As the researcher is describing the characteristics of the subjects, the appropriate statistical analysis would be descriptive statistics.

Descriptive statistics is a method that summarizes and describes the data collected in a study. It includes measures such as mean, median, mode, standard deviation, range, and frequency distribution.

These measures can provide a clear picture of the demographic data of the three groups of subjects and help in drawing meaningful conclusions.

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Answer:

Rounded to 73

Step-by-step explanation:

The exact number does not end so rounded to the closest whole number is 73

Answer:

72.78 if you want to round to the nearest hundrendths place or if you want the remainder, it would be 72 R51

Answer:

8cm

Step-by-step explanation:

An equilateral triangle means that all the sides are equal (the same length). A triangle has 3 sides so all we have to do is:

24/3 = 8

Each side is 8cm long

Answer:

Length of each sides = 8 cm

Step-by-step explanation:

Given the perimeter of an equilateral triangle, 24 cm:

Equilateral triangles have three congruent sides.

Hence, to find the length of an equilateral triangle, simply divide the perimeter by 3 (since an equilateral triangle has three equal sides).

Perimeter of an equilateral triangle = 24 cm

Side = 24 cm ÷ 3 = 8 cm

Therefore, the length of each side is 8 cm.

Step-by-step explanation:

the general equation of a parabola is

y = a(x – h)² + k.

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

comparing it to

y = 3(x + 4)² - 2

we see that (h, k) = (-4, -2).

the student made a sign mistake. it is "- h" in the squared factor. so, "+4" indicates "-4" as "h".

but the student simply used "+4".

17/2 is the number which we  added to "complete the square"

The given quadratic equation is x²+17x−22=0

x²+17x-22=0

To complete the square we have to add half of 17 square and subtract in the equation

x²+17x +(17/2)²-22-(17/2)²=0

We know that (a+b)² = a²+b²+2ab

(x+17/2)² -22-289/4=0

(x+17/2)² -88-289/4

(x+17/2)² -377/4 = 0

Hence, 17/2 is the number which we  added to "complete the square"

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Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

Notice that:

Simplifying the above fraction and putting it in decimal form, we get:

The formula to calculate the circumference of a circle is given by \(\displaystyle\sf C=2\pi r\), where \(\displaystyle\sf C\) represents the circumference and \(\displaystyle\sf r\) is the radius of the circle.

Given that the diameter of the above ground circular swimming pool is 30 ft, we can find the radius by dividing the diameter by 2. So, the radius \(\displaystyle\sf r\) would be \(\displaystyle\sf \frac{30}{2}=15\) ft.

Now, substituting the value of \(\displaystyle\sf r\) into the formula, we have:

\(\displaystyle\sf C=2\pi ( 15)\)

Using \(\displaystyle\sf \pi =3.14\), we can calculate the circumference:

\(\displaystyle\sf C=2( 3.14)( 15)\)

\(\displaystyle\sf C=2( 3.14)( 15)\)

\(\displaystyle\sf C=94.2\) ft

Therefore, the circumference of the pool is 94.2 ft.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The universal set be the letters a through j: u = {a, b, i, j}. the elements of sets A, B, and C are A = {e, g, h, i} B = {a, b, g, h} C = {a, e, h, j}.

The given list the elements of sets A, B, and C as follows:

A = {e, g, h, i}

B = {a, b, g, h}

C = {a, e, h, j}

Each of these sets is a subset of the universal set U, which contains the letters a through j. Therefore, any element in sets A, B, or C must also be one of these letters.

To summarize:

A = {e, g, h, i}

B = {a, b, g, h}

C = {a, e, h, j}

So the elements of sets A, B, and C are:

A = {e, g, h, i}

B = {a, b, g, h}

C = {a, e, h, j}

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The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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Answer:

(using substitution to solve the problem)

x=y-3

2x+y=12

2(y-3)+y=12

2y-6+y=12

3y=18

y=6

y=6

x=6-3

= (3, 6)

Step-by-step explanation:

using substitution, substitute the x in the second equation to y-3, to find the value of y. after that distribute the 2 into the parenthesis and collect like terms. once you simplify, you have the value of y, so substitute the value of y into the first equation to find x. once you have both values put them in the ordered pair form and you're done.

i hope this helps :)

Answer:

Step-by-step explanation:

Answer: Length ≥ 6 feet

Step-by-step explanation:

The area of a rectangle= length × width

In this case, the width is 4 feet and the area of the stage must be at most 24 square feet.

The inequality that describes the possible lengths (in feet) of the stage would be:

Length × Width ≥ 24

Length × 4 ≥ 24

Length ≥ 24/4

Length ≥ 6

Therefore, the length must be at most 6 feet.

The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.

0.3 is less than 30.

Step-by-step explanation:

Answer:41,328

Step-by-step explanation:

18+7+11=36 36%

100-36=64 64%

25,200 x 164%=41,328

Hey there!☺

\(Answer:\boxed{a=k+u}\)

\(Explanation:\)

Solve for a: \(u=a-k\)

Let's start by flipping the equation.

\(a-k=u\)

Now add k to both sides.

\(a-k+k=u+k\\a=k+u\)

\(a=k+u\) is your final answer.

Hope this helps!

The value of g = 144 solved by using direct proportion.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝.

Given that,

h = \(\frac{1}{2}\) , j = \(\frac{1}{3}\), g = 4

g ∝ hj

g = khj

where k is a constant.

4 = k×\(\frac{1}{2}\)×\(\frac{1}{3}\)

k = 24

Also given that,

g = ? , h =2, j = 3

g = khj

g = 24×2×3

g = 144

Hence, The value of g = 144.

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The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)

The coordinates of point A = (-5, -4),

The coordinates of the point B = (-3, 3)

Let the point at the distance 3/4 from A to B = P

The coordinates of point 3/4 from A to B = P

At the x-coordinate, the distance from B to A is =  -3-(-5) = 2 units.

At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.

Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)

                                            P = (-5 + (3/4×(2), -4 + 3/4×(7))

                                            P = (-3.5, 1.25)

Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).

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The complete question is -

What are the coordinates of the point 3/4 of the way from A to B?

There are a total of 32 possible sequences because there are two alternatives for each stage. Since there are more than seven distinct ways to mount the stairs, the priestess can do so every day for a week.

(a) Every day, the priestess at the temple of Horus must climb a flight of five stairs, which she can do by taking one or two steps at a time. The amount of ways she can up the stairs on any given day can be represented by a binary digit, where 1 denotes a two-step ascent and 0 denotes a one-step ascent. For each of the five steps, for instance, 00101 reflects the order of her one- and two-step climbs.

(b) The same regulations apply. The entire number of potential sequences, using the same binary digit format, is 213 = 8,192. There are therefore more than 365 possible ways to mount the grand staircase, allowing the priest to do so every day for a whole year.

In conclusion, the number of alternative binary sequences, where each digit denotes a one- or two-step climb, may be used to determine the number of ways the priestess can ascend the five-step flight of stairs and the number of ways the priest can ascend the thirteen-step grand staircase.

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