simplify the expression

(2b/3)^4

Answer:

Step-by-step explanation:

We have

the square with side s = 3ft

four triangles with base b = 3ft and height h = 4ft

The formula of an area of a square:

[tex]A=s^2[/tex]

The formula of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_{\square}=3^2=9\ ft^2[/tex]

[tex]A_{\triangle}=\dfrac{(3)(4)}{2}=\dfrac{12}{2}=6\ ft^2[/tex]

The Surface Area:

[tex]S.A.=A_{\square}+4A_{\triangle}\\\\S.A.=9+(4)(6)=9+24=33\ ft^2[/tex]

Answer:

33 ft&²

Step-by-step explanation:

multiply 4x3x3 = 36 and put half of 6, then it is 33 33ft²

Answer:

52

Step-by-step explanation:

Answer:

64 in²

Step-by-step explanation:

Please, include the units of measurement:

"rectangular prism 4 in by 2 in by 3 in."

One side is 4 by 2 in², or 8 in²; another is 4 by 3 in², or 12 in², and the third side is 3 by 4 in², or 12 in².  We have 2 of each side, so the total surface area is

A = 2(8 in² + 12 in² + 12 in²) = 2(32 in²), or 64 in²

Answer:

A: 5 hrs.   B: 14 hrs. and 40 min.

Step-by-step explanation:

too long to explain.

In the first scenario, the frog takes 4 hours to get out of the 8-feet deep well. In the second scenario, it takes the frog 8 hours to get out of the 40-feet deep well.

The question is about calculated frog’s movement to get out of a well involving both climbing rate and slip-back rate during rest which brings us into the realm of simple arithmetic and mental math. Let's take each case one at a time.

The frog climbs 4 feet per hour but then slips back 2 feet. Therefore, effectively, the frog climbs only 2 feet per hour (4-2=2). After 3 hours, the frog would have climbed 6 feet (3*2=6). In the fourth hour, the frog would climb another 4 feet reaching a total of 10 feet, but since the well is only 8 feet deep, he would have already climbed out. Therefore, it would take the frog 4 hours to climb out of the well.

The frog climbs 6 feet per hour and slips back 1 foot, therefore effectively climbs 5 feet per hour (6-1=5). After 7 hours, the frog would have climbed 35 feet (7*5=35). In the eighth hour, the frog would climb additional 6 feet, reaching a total of 41 feet. Again, considering the well is only 40 feet deep, he would have climbed out at this point. So, it would take 8 hours for the frog to climb out of a 40 feet deep well.

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For this case we must find the values a, b, c:

[tex]2 (1.2x + 0.3) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x + 0.6) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]

We apply distributive property:

[tex](2.4x ^ 2-1.2x + 0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x ^ 2-0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]

We finish the term:

[tex]2.9x ^ 2 + 1.9x-1.6[/tex]

Answer:[tex]a = 2.9\\b = 1.9\\c = -1.6[/tex]

Answer:

C. 42

Step-by-step explanation:

PEMDAS

1. Parentheses: (4 + 2) = 6

6² + 3 • 2

2. Exponents: 6² = 36

36 + 3 • 2

3. Multiplication/Division: 3 • 2 = 6

36 + 6

4. Addition/Subtraction: 36 + 6 = 42

42

[tex]\text{Hey there!}[/tex]

[tex]\text{What is 3}\frac{2}{3}\ + 5\frac{11}{24}[/tex]

[tex]\text{3}\frac{2}{3}\rightarrow 3\times3=9\rightarrow9+2=11\rightarrow\ \rightarrow\frac{11}{3}[/tex]

[tex]5\frac{11}{24}\rightarrow5\times24=120\rightarrow120+11=131\rightarrow\ \rightarrow\frac{131}{24}[/tex]

[tex]\text{Your problem becomes:}\frac{11}{3}+\frac{131}{24}[/tex]

[tex]\text{Solve that}\uparrow\text{and your should come up to}\rightarrow[/tex] [tex]\frac{73}{8}\ or\ 9\frac{1}{8}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\frac{73}{8}\ or \ 9\frac{1}{8}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

<ABC = 30°

Step-by-step explanation:

Vertical angles are equal

So

4x+2 = 7x - 19

-7x + 4x = -19 - 2

-3x = -21

   x = 7

<ABC = 4(7) + 2 = 28 + 2 = 30

<ABC = 30°

Answer: all real numbers

Step-by-step explanation: the domain for any function is always , all real numbers or in other words, negative infinity to positive infinity.

Answer:

c. x >= 0

Step-by-step explanation:

ANSWER

[tex]- 5x - 3y = 0[/tex]

EXPLANATION

The line that passes through the origin has equation of the form:

y=mx

Where m is the slope.

Since the line is parallel to the line through A(-3, 0) and B(-6, 5), they have the same slope.

The slope is given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

[tex]m = \frac{5 - 0}{ - 6 - - 3} = - \frac{5}{3} [/tex]

Hence the required equation is:

[tex]y = - \frac{5}{3} x[/tex]

Multiply through by 3,

[tex]3y = - 5x[/tex]

In standard form, the equation is

[tex] - 5x - 3y = 0[/tex]

Answer:

The answer is C. -5x - 3y = 0

Answer:

D

Step-by-step explanation:

An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.

Consider expression D

[tex]\frac{6}{x+5}[/tex]

This will be undefined when

x + 5 = 0 ⇒ x = - 5 ← excluded value → D

Answer:

D) 6/x+5

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

In this example, we will use D

x + 5 = 0 ⇒ x = - 5 ( Excluded value )

The area of the triangle will176 because 22×16 you will 352 s you just need to divide that by two and you get 176 so you your total area for the triangle is 176 and don’t forget put as square

Answer:

S

Step-by-step explanation:

Answer:

S is the answer

Step-by-step explanation:

Answer:

1.6 cm

0.625 day

Step-by-step explanation:

We are given that the grass in Jamie's yard grew 16 cm in 10 days.

It was growing at constant rate.

We have to find number of days taken by the grass to grow 1 cm and how many cm  grass grow in one day.

In 10 days , grass grow=16 cm

In 1 day, grass grow=[tex]\frac{16}{10}=1.6 cm[/tex]

Grass takes time to grow 16 cm=10 days

Grass takes time to grow 1 cm=[tex]\frac{10}{16}[/tex]=0.625 days

Hence, the grass grow 1 cm in 0.625 days and the grass grow 1.6 cm in one day.

To find the number of days it took for the grass to grow 1 centimeter, divide the number of days by cm of growth. This equals 0.625 days. To find how many centimeters the grass grew in a day, divide the total growth by the total number of days. This equals 1.6 centimeters per day.

The problem states that the grass in Jamie's yard grew 16 centimeters in 10 days at a constant rate. We can set up two equal ratios to find out how many days it took for the grass to grow 1 centimeter and how many centimeters it grew in 1 day.

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Answer:

The second set is a function as none of the x values repeat.

Step-by-step explanation:

In order for a set of ordered pairs to be a function, they must only have one range value for each domain value.

In other words, an x value cannot occur twice.

Within the first set, the value x=2 is repeated 5 times. This means that it is not a function

Within the third set, the value x=1 is repeated twice and x=4 is repeated twice, This means that it is not a function

Within the fourth set, the value x=1 is repeated twice and x=2 is repeated twice, this means that this is not a function

The second set is a function as none of the x values repeat.

Answer:

the second one is a function

Step-by-step explanation:

Check the picture below.

The answer is 25%

If you roll 20 times in total and you land on two 5 times   5/20 = .25

Hope this helps!

Answer:

The length of the pen is [tex]8\ ft[/tex]

The width of the pen is [tex]6\ ft[/tex]

Step-by-step explanation:

Let

x-----> the length of the pen

y----> the width of the pen

we know that

The perimeter of the pen is

[tex]P=2(x+y)[/tex]

[tex]P=28\ ft[/tex]

so

[tex]28=2(x+y)[/tex]

[tex]14=(x+y)[/tex] ------> equation A

[tex]y=2+\frac{1}{2}x[/tex] -----> equation B

Substitute equation B in equation A and solve for x

[tex]14=x+(2+\frac{1}{2}x)[/tex]

[tex]14-2=\frac{3}{2}x)[/tex]

[tex]12=\frac{3}{2}x)[/tex]

[tex]x=12*2/3=8\ ft[/tex]

Find the value of y

[tex]y=2+\frac{1}{2}(8)=6\ ft[/tex]

therefore

The length of the pen is [tex]8\ ft[/tex]

The width of the pen is [tex]6\ ft[/tex]

John's dog pen is solved to have dimensions of 8 feet in length and 6 feet in width by using algebraic expressions to relate the given conditions about the pen's perimeter and the relationship between its length and width.

Let's solve John's problem by denoting the length of the rectangle as L and the width as W. According to the problem, we know that the entire fencing measures 28 feet, so the perimeter of the rectangle can be calculated as 2L + 2W = 28. Furthermore, it's given that the width is two more than one-half the length, which translates to W = ½L + 2.

First, substituting the width's equation into the perimeter equation gives us 2L + 2(½L + 2) = 28. Simplifying this equation leads to L = 8 feet. Plugging the length's value back into W = ½L + 2 gives W = 6 feet.

Therefore, John's dog pen has dimensions of 8 feet in length and 6 feet in width.

Answer:

To help you understand the problem with out actually doing the work, you are just writing it out.

Step-by-step explanation:

Answer:

The benefits of using expressions in math is to know what you are supposed to be using to solve your problem. Expression area good use too also for word problems!!

Step-by-step explanation:

Plz mark Brainlist!!!

Answer:

Length = 24 and Width = 81

Step-by-step explanation:

Let Width be W

then Length = W-57

Perimeter of rectangle = 2(Length + Width)

=2 (W-57+W)= 210

4W- 114= 210

4W= 324

W= 81

Then Length = 81-57 = 24

The length and width of a regulation singles tennis court is 78 feet and 27 feet respectively when the perimeter is 210 feet and length is 57 feet less than five times the width. This can be obtained by using formula of perimeter of a rectangle and algebraic expression.

P = 2(l + b) where P is the perimeter of the rectangle, l is the length of the rectangle and b is the width of the rectangle.

Length of the rectangle is 57 feet less than five times the width, that is, in the form of algebraic expression,

l = 5b - 57 , where l and b are length and width.

Given that, perimeter P=210 feet, length l= 5b - 57, width b = b

P = 2(l + b)

210 = 2((5b - 57) + b)

210 = 2(5b + b -57) =2(6b - 57)

210 = 12b - 114

12b = 210 + 114 = 324

b = 324/12 =27 ⇒b = 27 feet

l = 5b - 57

l = 5(27) - 57

l =135 - 57 =78 ⇒ l = 78 feet

l = 78 feet and b = 27 feet

Hence the length and width of a regulation singles tennis court is 78 feet and 27 feet respectively when the perimeter is 210 feet and length is 57 feet less than five times the width.

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A pack of cards has 52 cards, 4 of which are kings, so the probability of the first card being a king is (4/52). Since you have already chosen a card, there are only 51 cards left to choose from in the entire deck (the first card is not counted anymore because it has already been pulled from the deck), and since the card you chose was a king, you are left with only 3 more kings, meaning that the probability of the second card being a king is (3/51). Since we are interested in both happening simultaneously, we must multiply the probability of the first by the probability of the second: (4/52) • (3/51), which leaves us with: * 12/2,652 or 0.0045249 *

To find the probability of holding 2 kings in a 2-card hand, you need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 6 favorable outcomes out of 1,326 possible outcomes, resulting in a probability of approximately 0.0045 or 0.45%.

To find the probability of holding 2 kings in a 2-card hand, we first need to determine the total number of possible 2-card hands that can be dealt from a standard 52-card deck. The number of combinations of choosing 2 cards from 52 is given by the formula C(52, 2) = 52! / (2! * (52-2)!) = 1,326.

Next, we need to determine the number of favorable outcomes, which is the number of ways to choose 2 kings from the 4 kings in the deck. This can be calculated as C(4, 2) = 4! / (2! * (4-2)!) = 6.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: P(2 kings) = 6/1,326 ≈ 0.0045 or 0.45%.

Answer:

85° and 95°

Step-by-step explanation:

So, one angle is x, the other angle is x + 10. Using this, you can form an equation.

x + x + 10 = 180

Now, solve the equation.

2x + 10 = 180

2x = 170

x = 85

So, one angle is 85 while the other angle is 95.

85 + 95 = 180,

so we know that our answer is correct.

Answer:

85,95

Step-by-step explanation:

Answer:

C)  

55

107

Step-by-step explanation

i took the usa  test prep

Using it's concept, it is found that the probability that an adult prefers chocolate ice cream is given by:

D. 55/119.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 55 + 54 + 10 = 119 adults, and of those, 55 prefer chocolte ice cream, hence the probability is given by:

p = 55/119.

Thus option D is correct.

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Answer:

The cost of the tile for the kitchen is $1,680

Step-by-step explanation:

step 1

we know that

The scale drawing is [tex]\frac{1}{16}\frac{in}{ft}[/tex]

The dimensions of the kitchen in the blueprint are

L=3(1/4)=3/4 in

W=5(1/4)=5/4 in

step 2

Find the actual dimensions of the kitchen

Divide the dimensions of the kitchen in the blueprint by the scale drawing

L=(3/4)/(1/16)=12 ft

W=(5/4)/(1/16)=20 ft

The area is equal to

A=(12)(20)=240 ft²

step 3

Find the cost of the tile for the kitchen

7(240)=$1,680

Answer:

Cost of the tiles for the kitchen is $1680

Step-by-step explanation:

From the figure attached,

Dimensions of the kitchen = 5 small squares by 3 small squares

Since 1 small square = [tex]\frac{1}{4}[/tex] inch

So the dimensions of the kitchen in inches = [tex]\frac{5}{4}[/tex] inches by [tex]\frac{3}{4}[/tex] inches

Map Scale has been given as

1 inch = 16 ft

Therefore actual dimensions of the kitchen will be

[tex]\frac{5}{4}\times 16[/tex] ft by [tex]\frac{3}{4}\times 16[/tex] ft

= 20 ft by 12 ft

Area of the kitchen = 20×12

= 240 ft²

Per square feet tile cost = $7

So the cost of tiling 240 ft² will be = 240 × 7

= $1680

Therefore, cost of the tiles for the kitchen is $1680

Answer:

ur  cute

Step-by-step explanation:

The area of the figure which is composed of a rectangle and a square is 76 km²

The figure in the image is composed of a rectangle and a square.

The area of a rectangle = length × width

The area of a square = length²

To determine the area of the figure, we add the area of the rectangle and the area of the square.

Area of the figure = ( length × width ) + ( length² )

Plug in the given dimensions:

Area of the figure = ( 9 km × 8km ) + ( 2 km )²

Simplifying; we get:

Area of the figure = 72 km² + 4 km²

Area of the figure = 76 km²

Therefore, the area of the composite figure measures 76 km².

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Answer:

[tex]\frac{(x+5)(x-3)}{(x+5)(x+1)}[/tex]

Step-by-step explanation:

A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator.  It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x.  In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.

Using the continuity concept, it is found that the function with both a removable and a non-removable discontinuity is:

[tex]f(x) = \frac{(x - 1)(x - 2)}{(x - 1)(x - 3)}[/tex]

----------------------------------------------

Continuity:

A function is not continuous at points that are outside it's domain.

----------------------------------------------

An example can be taken considering a function as follows:

[tex]f(x) = \frac{(x - 1)(x - 2)}{(x - a)(x - b)}[/tex]

The function is:

[tex]f(x) = \frac{(x - 1)(x - 2)}{(x - 1)(x - 3)}[/tex]

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Answer:

Step-by-step explanation:

First find the midpoint

11+5/2

162

8

Then the distance between them

6

Now divide 6/2 and you get 3

The answer is

absolute value of x-8=c

Could not find absolute value symbol. Clarification; x  and 8 are in absolute value format.

Answer:

|x-8|=3

Step-by-step explanation:

You have to find the average between 5 and 11

So we would have to do (11+5)/2=8

Than we have to make an equation.

|x-8|=3

The reason why its 3 is because there is no such thing as a negative distance The distance is always positive.

Answer:

Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays

Step-by-step explanation:

You've assigned your math class a set of word problems. One of the questions ends with, "How many people voted for candidate Jones?" Fingers fly over calculators as your students try to determine the correct answer. After a minute or two, Tommy raises his hand and announces his answer: 4,602.28

Everything inside of you wants to scream, "Are you out of your mind, Tommy boy? A closer answer would be 4 because at least it would be possible! How on earth could a candidate receive 28 hundredths of a vote?"

Okay, breathe. Poor Tommy has made the kind of error that drives math teachers like you to the brink of insanity. He's given an answer that makes absolutely no sense.

Whatever else math is or isn't, it is always logical. Answers should always make sense. Math frequently relies on general knowledge—concepts that we assume are known by everyone over the age of about seven—along with a healthy dose of common sense (not you, Thomas Paine).

The problem, of course, is that people have a tendency to ignore both common sense and the knowledge that they possess. Particularly when calculators are involved, there's the tendency to run with the answer you're given. That ignores one very basic principle: the calculator answers the question you ask, not the one you intended to ask.

This was just an example of Descriptive Modeling

Thank you for asking this question

please choose me as brainiest Answer to support me

We can define appropriate quantities for the purpose of descriptive modeling on the basis of evaluation,analyse,understanding and selecting appropriate measurement units to solve problems.

Defining appropriate quantities for the purpose of descriptive modeling

Suppose we are analysing a data  of two sports academy for training of players.

[tex]$$\begin{table}[]\begin{tabular}{llll}Academy & Coaches & Players & Equipment \\Academy A & 4 & 50& 70\%\\Academy B & 3 & 45& 80\% \end{tabular}\end{table}$$[/tex]

If we calculate performance of two academy on the basis of no. Of players per coach then Academy B is best.

If we calculate Academy performance by calculating percentage of equipment per player then Academy A is best.

Here we are evaluating the performance of two sports academy by understanding the problem and analysing the given data by using the appropriate units.

So from the above data we can say that evaluation,analyse,understanding and selection of appropriate measurement units is important for appropriate quantities for the purpose of descriptive modeling.

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I did the math and got the answer c -13

The answer would be option C, 13

Answer: First Option

The points have the same x-coordinate value.

Step-by-step explanation:

By definition, a relation is considered a function if and only if for each input value x there exists only one output value y.

So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.

For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.

The line will be parallel to the y axis.

Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.

There are two output values (y = 8, y = 5) for the same input value x = 2.

In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.

Then the correct option is:

The points have the same x-coordinate value.