Write the rational number 36/5 as a decimal

The length of a rectangle is 27 inches and the width of a rectangle is 12 inches.

Given that, the length of a rectangle is three more than double the width and the perimeter of a rectangle = 78 inches.

We need to find the dimensions of the rectangle.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of the rectangle be x.

Then, length=2x+3

Now, perimeter=2(2x+3+x)

⇒ 78=2(3x+3)

⇒ 3x+3= 39

⇒ 3x=36

⇒ x=12 inches

So, width=12 inches and length=2x+3=27 inches

Therefore, the length of a rectangle is 27 inches and the width of a rectangle is 12 inches.

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Answer:

5b+35

Step-by-step explanation:

5*b=5b

5*7=35

Answer:

3rd and 4th

Step-by-step explanation:

Answer:

∠C and ∠DCB and ∠BCD

Step-by-step explanation:

We can name an angle either using one letter that represents it or use all three letters together.

When we use a single letter to represent or point an angle we must choose the center letter, C in this case.

And when we use all three letter to point an angle we must place the center letter, again C in this case, in the middle

Therefore the angle can be named as

∠C or ∠DCB or ∠BCD

AS=6.28

First, draw a line joining C and T;

Two triangles TBC and TSC are formed;

Also, AC=35, AT=11,BT=9;

AB=AT+BT=11+9=20

Using pythagoras theorem;

AB² + BC² = AC²

BC²=35²-20²=825

Using pythagoras theorem on triangle TBC;

BC² + TB²= CT²

825 + 9²=CT²

CT²=906;

In triangle CST, using pythagoras theorem;

CS²+ST²=CT²=906   -1

In triangle AST, using pythagoras theorem;

AS²+ST²=AT²=11²=121   -2

Subtract 1 from 2;

AS²+ST²-CS²-ST²=121-906

AS²-CS²=-785

AS²-(AC-AS)²=-785

AS²-(35-AS)²=-785

AS²-AS²-35²+70AS=-785

AS=6.28

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Answer:

112cm^2

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·8+4·8+4·2)=112

Answer: B. 64 cm³

Step-by-step explanation:

Let's lenth of the object set is a, width - b and height - h

Thus,

V=abh

a=8 cm   b=2 cm    h=4 cm

Hence,

V=8*2*4

V=64 cm³

Answer:

[tex] \sf \large \: x=−1[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+3)−2=6

Step 1: Simplify both sides of the equation.

4(x+3)−2=6

(4)(x)+(4)(3)+−2=6(Distribute)

4x+12+−2=6

(4x)+(12+−2)=6(Combine Like Terms)

4x+10=6

4x+10=6

Step 2: Subtract 10 from both sides.

4x+10−10=6−10

4x=−4

Step 3: Divide both sides by 4.

4x/4 = −4/4

x=−1

A null hypothesis outlines what a researcher should see if the tested hypothesis is incorrect. In essence, it presents an "alternative" theory to the first.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the result of chance. It is claimed to be a claim made by surveyors who wish to look at the data.

The basic idea behind null hypothesis testing is to gather data and calculate the probabilities of a particular set of data during an experiment on a random sample, presuming that the null hypothesis is correct.

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The volume of the box is maximized when a 6 x 6 inch or 10 x 10 inch square is cut from the corners of the rectangular sheet.

Volume of rectangle:

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units.

The formula for Volume of the rectangle is

V = l x b x h

where

l represents the length

b represents the breadth

h represents the height.

Given,

A rectangular sheet of tin measures 20 inches by 12 inches. suppose you cut a square out of each corner and fold up the sides to make an open-topped box.

Here we need to find the volume of the box is maximized when a square is cut from the corners of the rectangular sheet.

Here we have the following values:

h = x

l = 20 - 2x

b = 12 - 2x.

Here we have to subtract two times of x value because in the question they said that we have to cut a square from it.

Apply the values on the volume formula then we get,

=> V = (20 - 2x) x (12 - 2x) x (x)

=> V = [240 - 40x - 24x + 4x²] x (x)

=> V = [240x - 64x² + 4x³]

Now differentiate:

=> V' =  240 - 64x + 4x²

Simplify and order the equation,

Then we get,

=> V' = x² - 16x + 60

When we factorize the equation then we get,

=> V' = x² - 6x - 10x + 60

Take the common term out of it,

=> V' = x (x-6) -10(x -6)

Therefore, the value of x is, either 6 or 10.

Now you need to look at your solutions.

At x=6, the volume is,

=> V = (20 - 2(6)) x (12 - 2(6)) x (6)

=> V = (20 - 12) x (12 - 12) x 6

=> V = 8  x 0 x 6

=> V = 0

our corner squares devour the entire piece of cardboard and you are left with zero volume; so that solution is a minimum.

Now at the value of x = 10,

The volume is

=> V = (20 - 2(10) x (12 - 2(10)) x (10)

=> V = (20 - 20) x (12 - 20) x 10

=> V = 0 x (-8) x 10

=> V = 0

So, in both cases we have 0 as minimum volume. So, we can take any one of the value to get the maximum out of it.

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Step-by-step explanation:

[tex] {13}^{ \frac{4}{5} } + 2.6 \\ [/tex]

[tex] \sqrt[5]{(13) {}^{4} } + 2.6 \\ [/tex]

[tex] \sqrt[5]{28561} + 2.6 \\ [/tex]

[tex]7.78 + 2.6 = 10.38 \\ [/tex]

385 people get on an empty train at a station. At the first stop, 264 more people get on the train, and 89 people get off. There are no more stops until the train reaches it final destination, where everybody gets off the train.

560 is the answer

560 people get off the train at the final destination.

Given that 385 people get on an empty train. At the first stop, 264 more people get on, and 89 people get off.

There are no more stops until the train reaches it final destination,

We need to find the number of the people who get off the train at the final destination.

To find out how many people get off the train at the final destination, let's break down the information given step by step.

385 people get on the empty train at the station.

At the first stop, 264 more people get on the train, bringing the total number of people on the train to 385 + 264 = 649.

Additionally, 89 people get off the train at the first stop.

After the first stop, there are no more stops until the final destination.

To find out how many people get off at the final destination, we need to subtract the number of people who got off at the first stop from the total number of people on the train after the first stop.

Total number of people on the train after the first stop = 649 (from step 2)

People who got off at the first stop = 89 (from step 3)

Number of people who get off at the final destination = Total number of people on the train after the first stop - People who got off at the first stop

Number of people who get off at the final destination = 649 - 89 = 560

Therefore, 560 people get off the train at the final destination.

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In the graph of y = -3/4x – 2 is represent linear equation.

What in mathematics is a linear equation?

The graph is represent a linear equation .

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Answer:

f(0) = - 81

Step-by-step explanation:

f(0) means what is the value of f(x) when x = 0

substitute x = 0 into f(x)

f(0) = 12(0)² - 81 = 12(0) - 81 = 0 - 81 = - 81

Answer:

x = -23

Step-by-step explanation:

3.5(x+20) = 6 + .75(x + 1)  Multiply the terms inside the parentheses on the left by 3.5 and the parentheses on the left by .75

(3.5)x +(3.5)(20) = 6 + (.75)x +(.75)(1)

3.5x + 70 = 6 + .75x + .75  Combine the 6 and .75 on the right side

3.5x + 70 = 6.75 + .75x  Subtract .75x from both sides of the equation

2.75x + 70 = 6.75  Subtract 70 from both sides of the equation

2.75x  = -63.25  Divide both sides by 2.75

x = -23

Check

3.5(-23+20) = 6 + .75(-23 + 1)

3.5(-3) = 6 +.75(-22)

-10.5 = 6 +(-16.5)

-10.5 = -10.5

Answer:

x = -23

Step-by-step explanation:

3.5(x+20)=6+.75(x+1)

3.5x + 70 = 6 + .75x + .75

3.5x+70=.75x+6.75

2.75x+70=6.75

2.75=−63.25

divide^

x = -23

The larger bottle holds a 700ml volume of water.

What is volume?

Two(2) bottles given in the pic are similar(no difference)

Therefore, the volume/cm height of both(2) bottles will proportional

By using the proportionality rule, [tex]\frac{15}{500} =\frac{21}{x}[/tex]

   x = 700ml(seven hundred)

Hence, the correct answer is 700ml.

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The next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

What is the meaning of parametric and non parametric?

x + y + z = 5, x + z = 0

the line satisfies

x + z = 0 , y = 5

thus

x = t, y = 5 and z = -t .

the first one is technically already the symmetric equations of the line.

thus:

x = -z ; y = 5

the next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

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Answer: -7

Step-by-step explanation: -7 times 2= -14, -14 +9= -5

A distribution of scores in which almost the entire class scored very high, but a few students scored fairly low would be representing a negatively skewed distribution.

A real-valued random variable's probability distribution's asymmetry can be quantified by looking at how skew it is around its known as skewness.

There are three types of probabilities of a value can be:

Positively skewed

negatively skewed

unskewed

From the given question, the distribution of scores in which almost the entire class scored very high, but a few students scored fairly low would be representing a negatively skewed distribution.

Therefore the correct answer would be an option (D)

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Your question is incomplete, probably the missing part is:

A distribution of scores in which almost the entire class scored very low, but a few students scored fairly high would be ______.

a. normally distributed

b. positively skewed

c. unskewed

d. negatively skewed

Answer:

127°

Step-by-step explanation:

The angle that's represented with x and the angle with the measure 127 are alternate exterior angles because line m and line n are parallel.

And alternate angles has equal measures so if one is 127 then so is the other.

Therefore the value of x = 127

Answer:

Step-by-step explanation:

1. a. coordinates of polygon B: (-2, 1), (-4, 1), (-2, 3), (-4, 4)

b. coordinates of polygon C: (-2, -1), (-4, -1), (-2, -3), (-4, -4)

c. coordinates of polygon D: (-2, 1), (-4, 1), (-2, 3), (-4, 4) -> same as polygon B because you after reflecting B to C, they are asking you basically reflect it back to B

2. C (-2, -1)

The total surface area of the given figure is 720 ft² that is option (D).

The Lateral Surface Area( LSA) of an object is the area covering all the sides of the object except it top and bottom .

Let us divide the given Composite figure into three parts ,

Part(a) = top part having shape of pyramid

First we will calculate the LSA of the top pyramid.

Given that

base = 6ft

perpendicular distance = 4ft

Slant height(l) = [tex]\sqrt{(\frac{base}{2} )^{2} +(perpendicular . distance )^{2} }[/tex]

On substituting the values we get

l=√(3²+4²)

l=√25

l=5 ft

LSA of pyramid = (1/2)* perimeter of base * slant height

Substituting the values we get ;

=(1/2)*(4*6)*5

=60 ft²         ....(i)

Part (b)

the 2nd part is a rectangular prism with length = 20 ft

and breadth = 6 ft

Surface area of rectangular prism = 4*Area of side

                                                         =4*20*6

                                                         =480 ft²       ...(ii)

Part(c)

The last part is a cube with only 5 sides of side 6ft.

Surface Area of the cube = 5*Area of side

                                           =5*6*6

                                           =180 ft²     ....(iii)

Total surface area of the figure= LSA of pyramid + Surface area of rectangular prism  + Surface Area of the cube

Substituting the values from equation (i) , (ii) and  (iii) we get ,

Total surface area of the figure = 60+480+180

                                                     =720 ft²

Therefore , the total surface area of the given figure is 720 ft².

hence option (D) 720sq ft is correct.

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The distance between home plate and first base is -1 feet

From the information given, we have that;

The expression for the number of feet between home plate and first base is given as;

√81-√100

Where;

To determine the distance, we take find the square root of the numbers and substitute, we have;

9 - 10

Find the difference

-1 feet

Thus, the distance between home plate and first base is -1 feet

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Answer:

Step-by-step explanation:

-40

Answers:

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

Explanation:

The equation is y = 10x+550

If x = 0, then it leads to y = 550. This is the smallest amount paid, and it's the base fee. Think of it like the fee to get in the door. This is the y intercept of the equation.

On top of this base fee is the $10 per hour fee for utilities. Each time an hour goes by, add on another extra $10. So we attached x to this to reflect what's going on. This is the slope of the equation, aka rate of change.

It might be helpful to compare y = mx+b to y = 10x+550

m = 10 = slope = how things change

b = 550 = y intercept = starting point

----------

Example:

Let's say you rented the barn for 2 hours.

That means x = 2 and 10x = 10*2 = 20 extra dollars is added on top of the base fee of $550

total = 20+550 = 570

This is what the steps could look like when plugging in x = 2

y = 10x+550

y = 10*2 + 550

y = 20 + 550

y = 570

Therefore, renting the barn for x = 2 hours leads to a total cost of y = 570 dollars.

Hey there!

Finding the the answer to the [Binomial]

(a + b)^2

CONVERT:

= (a + b)(a + b)

DISTRIBUTE

= a(a) + a(b) + b(a) + b(b)

= a^2 + ab + ab + b^2

COMBINE the LIKE TERMS

= (a^2) + (ab + ab) + (b^2)

= a^2 + ab + ab + b^2

= a^2 + 1ab + 1ab + b^2

= a^2 + 2ab + b^2

Therefore, your answer should be:

a^2 + 2ab + b^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The circumference of the circle with arc AB as 22 cm and C as the center will be 176 cm.

We are given that:

Length of the shorter arc forming an angle of 45° with the center = 22 cm

AB = 22 cm

C is the center of the circle.

We know that the length of the arc is calculated as:

Length of an Arc = θ × (π / 180) × r

22 = 45 × (3.14 / 180) × r

22 = 0.785 r

r = 22 / 0.785

r = 28.0255

Circumference = 2 π r

Circumference = 2(3.14) (28.0255)

C = 176 cm

Therefore, we get that, the circumference of the circle with arc AB as 22 cm and C as the center will be 176 cm.

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Answer:

12 to 8

Step-by-step explanation:

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