(4m2-3). 12,13
What is the simplified form of

Answer:

see below

Step-by-step explanation:

If the original dimensions of the tank are x, y, and z, the mock dimensions will be 1/6x, 1/6y and 1/6z. The volume of the original tank is x * y * z = xyz whereas the volume of the mock-up tank is 1/6x * 1/6y * 1/6z = 1/216 * xyz. Therefore, we know that the volume of the mock-up tank is 1/216 th of the original tank.

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet

Answer:

Step-by-step explanation:

The total sum of interior angles of a quadilateral is 360°

please click thanks and mark brainliest if you like :)

Answer:

3/8 cups.

Step-by-step explanation:

2 tablespoons of sugar = 1/16 * 2 = 1/8 cup of sugar.

1/2 cup = 4/8 cups.

So the extra sugar required = 4/8 - 1/8

= 3/8 cups.

Answer:

4) 3/8 cup

Step-by-step explanation:

1 table spoon = [tex]\frac{1}{16}[/tex] cup

2 table spoon = 2 * [tex]\frac{1}{16} = \frac{1}{8}[/tex] cup

Second recipe need (1/8) cup of sugar

First recipe need (1/2) cup of sugar

More amount of sugar need by first recipe= [tex]\frac{1}{2}-\frac{1}{8}[/tex]

            [tex]=\frac{1*4}{2*4}-\frac{1}{8}\\\\\\=\frac{4}{8}-\frac{1}{8}\\\\=\frac{3}{8}[/tex]

Answer: 2

Step-by-step explanation:

Given: Shaquira has made 86  chocolate chip cookies and 42 sugar cookies.

Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.

Now, the greatest number of identical packages that Shaquira can make= GCD of 86 and 42

Prime factorization of 86 and 42:

86 = 2 ×43

42 = 2 × 3 × 7

GCD of 86 and 42 = 2   [GCD = greatest common factor]

Hence, the greatest number of identical packages that Shaquira can make =2

1. The equation is 18 = 3 × x

2. a) The independent variable is the of ounces of lemon juice in the lemonade

b) A = a × b

c) First quadrant

The procedure to find the above answers are presented here as follows;

1. The following is the table of values of the data

[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]

The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;

y ∝ x

∴ y = k × x

Where;

k = The constant of proportionality

k = y/x

Therefore;

k = 6/2 = 9/3 = 12/4 = 15/5 = 3

k = 3

y = k × x

∴ y = 3 × x

Therefore;

The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water  is given by placing y = 18 in y = 3 × x as to get;

18 = 3 × x

∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water

2. The independent variable is the input or causing variable that determines the output variable

Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade

b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;

A = a × b

c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant

Learn more about dependent and independent variable here;

https://brainly.com/question/18456313

Answer:

2/3

Step-by-step explanation:

Bag A: WWB

Bag B: B

Answer:

Step-by-step explanation:

Let's break this down. The secant of a negative angle is the same as the secant of the positive angle. This is because secant is the inverse of cosine, and cosine is an even function. f(-x) = f(x) if the function is even, and f(-x) = -f(x) if the function is odd. Sine is odd and has symmetry about the origin; cosine is even and has y-axis symmetry.

Therefore, sec(-θ) = sec(θ) and we have then

sec(θ) - cos(θ). Since secant is the inverse of cosine, we can write:

[tex]\frac{1}{cos\theta}-cos\theta[/tex] and finding a common denominator:

[tex]\frac{1-cos^2\theta}{cos\theta}[/tex] and using a trig identity:

[tex]\frac{sin^2\theta}{cos\theta}[/tex] and simplify that down a bit by breaking it up:

[tex]\frac{sin\theta}{cos\theta}*sin\theta[/tex] finally boils down to

tanθ · sinθ, the last choice there.

Answer:

60

Step-by-step explanation:

A circle is 360 degrees

1/6 of 360

1/6 * 360 = 60

Answer:

x =4

Step-by-step explanation:

First we need to find the length of RT

Since the triangle on the left (RST) is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 2 sqrt(3) / RT

RT sin 60 = 2 sqrt(3)

RT = 2 sqrt(3) / sin 60

RT = 2 sqrt(3) / (sqrt(3)/2)

RT = 4

Now we can find x

Since the triangle on the right (QRT) is a right triangle, we can use trig functions

tan theta = opp /adj

tan 45 =  x/ RT

tan 45 = x / 4

4 tan 45 = x

4 (1) = x

4 =x

======================================================

Explanation:

The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.

The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180

y+83+83 = 180

y+166 = 180

y = 180-166

y = 14

Angle x and y are supplementary. They form a 180 degree angle

x+y = 180

x = 180-y

x = 180-14

x = 166

As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.

Answer:

400 meters

0 meters if the puppy can jump really really far ha ha ....

P = 10000x - 100

T = 8000x

10000x - 100 = 8000x  

2000x =  100

x = 1/20 hr

60/20 = 3 minutes

Step-by-step explanation:

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

[tex]\large\textsf{There is approximately 5 branches of chemistry.}\\\\\large\textsf{The branches are...}}\\\\\bullet\large\text{Analytical chemistry}\\\bullet\large\text{Biochemistry}\\\bullet\large\text{Inorganic chemistry}\\\bullet\large\text{Physical chemistry}\\\bullet\large\text{Organic chemistry}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Analytical chemistry}} is the science that prevails, communicates, and}\\\large\textsf{process the information about its arrangement of the matter.}\\\\\star\large\textsf{\ \underline{\underline{Biochemistry}} is the study of the process in the cellular \& molecular}\\\large\textsf{level}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Inorganic chemistry}} is the behavioral mood of the inorganic and the} \\\large\textsf{organometallic compounds. It is distributed with the synthesis.}\\\\\star\large\textsf{\ \underline{\underline{Physical chemistry}} is the changing and exchange of the materials.}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Organic chemistry}} is the study of the structure, property,}\\\large\textsf{(or properties) \& reactions of the organic compounds}[/tex]

[tex]\large\boxed{\frak{Good \ luck \ on \ your \ assignment \ \& \ enjoy\ your\ day!}}[/tex]

~[tex]\rm{Amphitrite1040:)}[/tex]

Given the five number summary, christina has scored 70 marks which is equal to the median of the test scores, therefore about [tex]\frac{1}{2}[/tex] class scored higher than her and  [tex]\frac{1}{2}[/tex] class scored lower than her, making option (d) correct.

The five number summary is the descriptive summary of a data where in you are provided the lowest observation, first quartile, median, third quartile and the maximum observation.

Here, the first quartile is the observation which lies at a point in the ordered data that 25% observations are lesser than it and 75% are greater than it.

the median is the observation which lies at a point in the ordered data that 50% observations are lesser than it and 50% are greater than it.

the third quartile is the observation which lies at a point in the ordered data that 75% observations are lesser than it and 25% are greater than it.

As given in the data,

Christina's marks = 70

median marks = 70

christina's marks = median marks

therefore, by definition of median, about half class scored lower than christina and half more than her.  

Learn more about median here

https://brainly.com/question/11237736

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The complete question is given below:

Given the five number summary  as:

minimum = 2

first quartile = 50

median = 70

third quartile = 85

maximum = 96

Christina earned 70 on the test. Describe how the scores of Christina's

classmates compared to Christina's score.

A. about 1/4 scored higher, about 3/4 scored lower

B. about 314 scored higher, about 1/2 scored lower

C. about 3/4 scored higher, about 1/4 scored lower

D. about 1/2 scored higher, about 1/2 scored lower

Answer:

F = 100(.5736)  

= 57.36 lbs. (rounded off to 2 decimal places)  

2) sin60 = .866  

F = 18(.866)  

= 15.59 lbs. (rounded off to 2 decimal places)

Step-by-step explanation:

F = friction

Answer:

100sin35° = x

Step-by-step explanation:

I did the assignment, this was the correct answer for me.

To find the missing number divide 364 by 7

364 / 7 = 52

The missing number is 52

Answer:

52

Step-by-step explanation:

In this equation, you would have to use inverse operations.

Since this equation is a multiplication equation, you need to do the opposite, division. So, 364 ÷ 7 = 52

Hope this helps! :)

Answer:

1,195,742.25 (final answer since instructions did not include rounding up or anything)

Step-by-step explanation:

n = 4

The given expression is:

9^8 ÷ 9n

USE PEMDAS order of operations and solve:

9^8 ÷ 9n

= 43046721 ÷ 9n

Substitue n with 4 and solve:

43046721 ÷ 9(4)

= 43046721 ÷ 36

= 1,195,742.25

Answer:

9^4

Step-by-step explanation:

We know that a^b ÷ a^c = a^ (b-c)

9^8 ÷ 9^4

9^(8-4)

9^4

Answer:

a) 22:25 is the earliest time

b)15 min

Step-by-step explanation:

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

10:10(standard) = 22:10 (military)

22:10 -> 15min-> 22:25

Answer:

a) 22:25 is the earliest time

b)15 min

Because

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

Answer:

height of tree is 27 ft

Step-by-step explanation:

The corresponding parts of the problem are in proportion

let h be the height of the tree , then

[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )

7h = 189 ( divide both sides by 7 )

h = 27

Height of tree is 27 feet

Answer:

6:30 pm

Step-by-step explanation:

Given the following :

Four machines give out a signal at intervals of 24 seconds, 27 seconds, 30 seconds and 50 seconds respectively.

Time when all four machines gave out signal simultaneously = 5:00 pm

To find the time all four will give out the next simultaneous signal :

Take the lowest common factor of the four intervals :

L. C. M of 24, 27, 30, 50

Using the Lowest Common Multiple calculator :

L. C. M. = 5400

5400 seconds.

Adding 5400 seconds to the last time a simultaneous signal was produced :

5:00 pm + 5400 seconds

5400 seconds = (5400/60) = 90 minutes = 1hour 30 minutes

5:00 pm + (1 hour 30 minutes)

= 6:30 pm

Answer:

The difference between the legs and the hypotenuse of a right triangle is that the hypotenuse will always be the longest side. Also, it will always be less than the two legs added together.

Step-by-step explanation:

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The expression (5·2)^x is evaluated by evaluating the expression in parentheses first. When you do that, you get 10^x.

  (5·2)^x ≡ 10^x

Answer:

[tex]W(t)=5(2^t)[/tex]

Step-by-step explanation:

Given that the Newly planted seedlings approximately double their weight every week and a seedling weighing 5 grams is planted at time t = 0 weeks. This represent an exponential function with an equation in the form:

[tex]W(t)=ab^t[/tex].

W(t) is the weight in t weeks, t is the weeks and a is the weight when t = 0. At t = 0, W = 5 g:

[tex]W(t)=ab^t\\W(0)=ab^0\\5=ab^0\\a=5[/tex]

Since the weight double every week, b = 2. The exponential function is given as:

[tex]W(t)=ab^t\\\\W(t)=5(2^t)[/tex]

Answer:

[tex]\huge \boxed{14}[/tex]

Step-by-step explanation:

Q is a point on the line segment PR.

PQ = 3

QR = 11

PR = PQ + QR

PR = 3 + 11 = 14

Answer:

[tex]\huge\boxed{PR = 14}[/tex]

Step-by-step explanation:

QR = 11

PQ = 3

Given that Q is on line segmant PR

So,

PR = PQ + QR

PR = 3 + 11

PR = 14

Answer:

the floor area of the production line =20000 m^2

Step-by-step explanation:

From the question we were told two thirds of the floor of the factory is taken up by the production line.

If we denote the total area of the factory as "y" then

the Area of the production line can be express algebraically as

2/3 × y = 2y/3

The rest of floor area of warehouse space will be

y- 2y/3 = y/3

From the rest of floor area, we were told three fifths is taken up by the office space, then this office space's area can be expressed in m^3 as

3/5 × y/3 = y/5

The remaining space left will now be for

warehouse, by we were given warehouse space omas 2000m^2.

Then from here we can get value of y

2y/15 = 2000

2y = (2000×15)

2y= 30000

y= 15000m^2

Therefore, the floor area of the production line can be expressed as

(2 ×30000)/3

= 20000 m^2

Quit easily done!

Answer:

No, 68.75% waited less than 30mins

I don't really know about the other one, but i tried my best, soooo sorry

soz

Hope that helped!!! k

Answer:-80

Step-by-step explanation:f(x)=2*2+4*-10

Answer: see explanation below

Step-by-step explanation:

A rational number terminates.

9.6 terminates at six-tenths.

Answer:

d

Step-by-step explanation:

y-6 = -4(x+1)

y-6 = -4x - 4

y = -4x + 2

Answer:

Step-by-step explanation:

Here,

y - 6 = -4(x+1)

=> y - 6 = -4x - 4

=> y = -4x - 4 + 6

=> y = -4x + 2 (option d) (Ans)