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The current time is 08 : 09 pm

The given parameters are

Time = 7 : 40 pm

Minutes added = 89 minutes

The current time is calculated as

Current time = Time + Minutes added

So, we have

Current time = 7 : 40 pm + 89 minutes

Evaluate the sum

Current time = 7 : 129 pm

Rewrite properly as

Current time = 08 : 09 pm

Hence, the current time is 08 : 09 pm

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When Mai-Lin's target heart rate is 153, then her age is 16 years.

From the information, the The American Heart Association suggests a target heart rate of T=0.75(220-a),

where T = person's target heart rate

a = his or her age.

Therefore, when the heart rate is 153, the age will be:

T = 0.75(220 - a)

153 = 165 - 0.75a

0.75a = 165 - 153

0.75a = 12

Divide

a = 12/0.75

a = 16

The person's age is 16 years.

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Answer:

1/8

Step-by-step explanation:

The radioactive substance remaining after 43 hours is: 62.7273 mg by unitary method.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given that 180 mg is present at t = 0 hours.

After t = 33 hours, substance left = 90mg

By unitary method, after = 1 hour, substance left = [tex]180-\frac{90}{33}=180 -\frac{30}{11}[/tex]mg

The substance left after t = 43 hours = [tex]180 - \frac{30\times43}{11}= 180 - \frac{1290}{11}=180 - 117=62.7273mg[/tex]

Hence, The radioactive substance remaining after 43 hours is: 62.7273 mg by unitary method.

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Total graduated commission earned by Macro on sales of $10,500 with the rate of 6% on the first $6500 and 9% on sales over $6500 is equal to $750.

As given in the question,

Macro earns commission rate of 6% for the first $6500

And 9% on sales over $6500

Out of $10,500

For first $6500 Commission =(6500 × 6)/ 100

                                            = $390

For $ (10,500 - 6,500 = 4000) commission = (4000 × 9)/ 100

                                                                   = $360

Total graduated commission on sales of $10,500 = $( 390 + 360)

                                                                             = $750

Therefore, total graduated commission earned by Macro on sales of $10,500 with the rate of 6% on the first $6500 and 9% on sales over $6500 is equal to $750.

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The lateral area of  right octagonal prism = 672 in^2.

An example of a prismatic uniform polyhedron is the octagonal prism, or op. There are 2 octagons as well as 8 squares in it. Each vertex connects two squares and one octagon. As the name implies, it is an octagonal-based prism.

Three-dimensional geometry is a solid figure, item, or shape comprising three dimensions—length, breadth, as well as height.. Three-dimensional structures have height, which is equivalent to thickness or depth, unlike two-dimensional shapes.

Solve for lateral surface area:

altitude = 12

base = 7

AL=8ah

Putting the value we get:

AL=8 * 12 * 7

Al = 672 in^2

the lateral area of  right octagonal prism = 672 in^2.

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Answer:

1.25 a pound

Step-by-step explanation:

if it was 1.20 per pound it would be less money

Answer:

y-coordinate

Step-by-step explanation:

x-intercepts lie on the x-axis. On the x-axis, y=0 while the x value is changing.

Answer: Set the Y equal to zero and solve for x

Step-by-step explanation:

Answer:

0.15 miles per minute or 9 miles per hour

Step-by-step explanation:

Answer:

46, 94

Step-by-step explanation:

hope this works for you :)

Answer:

125

Step-by-step explanation:

105 - (-20) = 105 + 20 = 125

Answer:

3/6

Step-by-step explanation:

2/3 = 4/6

(multiply 2 by 2 = 4, multiply 3 by 2 = 6)

4/6 - 1/6 = 3/6

Answer:

2x2/3x2-1/6

4/6-1/6=3/6=1/2

he used half for the day

hope this helps or may also he correct •-•

The value of x on the line segment is 8

The given parameters are:

AB = 2x + 7

AC = 7x - 3

BC = 4x - 2

The above means that the point B is on the line segment AC

So, we have:

AC = AB  + BC

This gives

2x + 7 + 4x - 2 = 7x - 3

Evaluate the like terms

-x = -8

Divide both sides by -1

x = 8

Hence, the value of x on the line segment is 8

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The expression that represents the statement "four less than the product of 2 and a number g" is 2 g - 4.

We are given a statement:

four less than the product of 2 and a number g

We need to form an expression to represent that statement.

An expression is a combination of variables and constants by using the various operations of mathematics like addition, subtraction, division and multiplication.

So, first we will find the product of 2 and a number g.

This is:

2 × g = 2 g

Now, we will subtract 4 from the expression:

2 g - 4

Therefore, the expression that represents the given statement "four less than the product of 2 and a number g" is 2 g - 4.

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Fraction of members in the club that prefer hot chocolate = [tex]\frac{7}{40}[/tex]

It's Given that :

A sports club has 80 participants.

Senior Members = 25

Junior Members = 18

Adult Members = 80 - (25 + 18) = 80 - 43 = 37

JUNIOR MEMBERS :

Prefers tea = 10

Prefers Coffee = 2

Prefers hot chocolate = 18 - (10 + 2) = 18 - 12 = 6

SENIOR MEMBERS :

Prefers tea = 4

Prefers coffee = 13

Prefers hot chocolate = 25 - (4 + 13) = 25 - 17 = 8

ADULT MEMBERS :

Prefers tea = 28 - (10 + 4) = 28 - 14 = 14

Prefers coffee = 37 - 14 = 23

Prefers hot chocolate = 0 (none)

Calculation of Fraction of members in the club that prefer hot chocolate = 8 + 6 = 14 members out of 80 members

= [tex]\frac{14}{80} = \frac{7}{40}[/tex]

Therefore 7 / 40 of members prefer hot chocolate.

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The answer choice which correctly represents an equivalent expression to that which is given as in the task content is; −30 + (−70) + (−40).

It follows from the task content that the expression whose equivalent is to be determined is; −30 + (−40) + (−70).

Therefore, since it follows from the associative property of addition that;

a + b + c = a + c + b.

Therefore, same can be said for the expression as given in the task content where;

-30 + (-40) + (-70) = -30 + (-70) + (-40).

Ultimately, the required equivalent expression is; −30+(−70)+(−40); negative 30 plus open parenthesis negative 70 close parenthesis plus open parenthesis negative 40 close parenthesis

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Answer:

well 22

Step-by-step explanation:

what is the answer to the answer to the answer to the answer to the same the whole of I will tell is the best of the whole time I will tell u won't let go and see if you have any questions or concerns please visit

You get 1750 points from the 35 correct moves (35 x 50) and you get -432 points from time taken (144 x -3) therefore you end the game with 1318 points.

1318 Points.

Answer: a=2√5

Step-by-step explanation:

We have a right-angled isosceles triangle

Hence, a=2√5

The coordinates of the image of the vertices of the polygon are A''(x, y) = (1, - 2), B''(x, y) = (2, - 2), C''(x, y) = (0, - 1), D''(x, y) = (- 1, - 2) and E''(x, y) = (- 2, - 1).

Rigid transformations are transformations applied on geometric loci such that Euclidean distances in such constructions are conserved. Translations and dilations are common examples of rigid transformations.

If we know that A(x, y) = (- 6, 0), B(x, y) = (- 3, 0), C(x, y) = (0, - 3), D(x, y) = (- 3, - 6) and E(x, y) = (- 6, - 3), then the coordinates of the image are determined below:

Translation

A'(x, y) = (- 6, 0) + (9, - 6)

A'(x, y) = (3, - 6)

B'(x, y) = (- 3, 0) + (9, - 6)

B'(x, y) = (6, - 6)

C'(x, y) = (0, - 3) + (9, - 6)

C'(x, y) = (9, - 9)

D'(x, y) = (- 3, - 6) + (9, - 6)

D'(x, y) = (6, - 12)

Dilation

A''(x, y) = (1 / 3) · (3, - 6)

A''(x, y) = (1, - 2)

B''(x, y) = (1 / 3) · (6, - 6)

B''(x, y) = (2, - 2)

C''(x, y) = (1 / 3) · (0, - 3)

C''(x, y) = (0, - 1)

D''(x, y) = (1 / 3) · (- 3, - 6)

D''(x, y) = (- 1, - 2)

E''(x, y) = (1 / 3) · (- 6, - 3)

E''(x, y) = (- 2, - 1)

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The answer is only 1

Ava and Wyatt will take 4 days to be on the same page of the book.

X-values must be chosen and entered into the equation in order to graph a function. You will obtain a y-value once those values have been entered into the equation. A single point's coordinates are made up of its x and y values.

From the given question we can get:

A = 10 ₊ 20t

W = 30 ₊ 15t

Graph the each function to get the number of days.

A function can only be graphed if X-values are selected and put into the equation. Once those values are introduced into the equation, a y-value will be produced. The values of x and y are the coordinates of a single point.

Hence we get the number of days as 4. and the graph is attached below.

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Answer: I hope this helps.

Step-by-step explanation:

Answer: 204

Step-by-step explanation:

(14+3)(2 x 6)=

(17)(2 x 6)=

(17)(12)=

17*12=

17*(10+2)=

17*10+17*2=

170+34=204

Answer:204

Step-by-step explanation:

Answer:

For sure, A and C. However, I cannot fully read the last one.

Step-by-step explanation:

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(a)Symmetric matrix -

Let matrix A be of order 3×3 =

                                  [tex]\left[\begin{array}{ccc}1&3&8\\3&8&-4\\8&-4&6\end{array}\right][/tex]

So, the transpose of A will be -

A' =

                                  [tex]\left[\begin{array}{ccc}1&3&8\\3&8&-4\\8&-4&6\end{array}\right][/tex]

So, we can say that A=A'. So, it is symmetric.

(b) Skew - symmetric matrix -

Let us consider a matrix B =

                                  [tex]\left[\begin{array}{ccc}0&-6&4\\-6&0&7\\4&7&0\end{array}\right][/tex]

matrix B is said to be skew-symmetric if aij =−aji.

(B' =−B)

B'  =    

                                 [tex]\left[\begin{array}{ccc}0&6&-4\\6&0&-7\\-4&-7&0\end{array}\right][/tex]

(c) A + A′ is a symmetric matrix for any square matrix A with real number entries, whereas A - A′ is a skew-symmetric matrix.

Proof: If B = A + A', then B ′ = (A + A ) ′

(A + B)′ = A′ + B′, thus = A′ + (A′)′

(as (A′)′ =A) = A′ + A

= B (because B + A = B + A′)

B = A+A′ is a symmetric matrix as a result.

Let C now equal A-A′.

Why does C' equal (A-A′)′=(A′)′?

= A′ - A (Why?)

=- (A - A′) = - C

A - A′ is a skew-symmetric matrix as a result.

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