Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?

Answer:

Step-by-step explanation:

The conversion factor for food energy or thermochemical calorimetry* is ...

  1 calorie = 4.184 J

  1000 calorie = 4.184 kJ

__

a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ

b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ

c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ

d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ

_____

* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.

Answer:

A will be switched off and B will be switched on.

Step-by-step explanation:

Because there are four different positions this can be in and there are 107 steps, we can divide 107 by four.

107 divided by four is 26 and the remainder is 3. That means the steps have gone around 26 times, and we are now on the third step before we complete the 27th cycle. The third step is C, where A is switched off and B is on.

Answer:

B

Step-by-step explanation:

Trust me :)

Answer:

[tex]Profit = \$250[/tex]

Step-by-step explanation:

Given

Number of Toys = 50

Unit Cost Price = $5.5

Unit Selling price = $15

Required

Determine the profit after sales

First, we need to determine the total cost price;

[tex]Cost\ Price = Number\ of\ toy *\ Unit\ cost\ price[/tex]

[tex]Cost\ Price = 50 * \$5.5[/tex]

[tex]Cost\ Price = \$275[/tex]

First, we need to determine the total sales;

____________________________________________________

Half of the toy was sold at $15;

[tex]Half\ of\ the\ toy = \frac{1}{2} * 50[/tex]

[tex]Half\ of\ the\ toy = 25[/tex]

[tex]Sales = \$15 * 25[/tex]

[tex]Sales = \$375[/tex]

____________________________________________________

Two-fifth of the remaining was sold at half of the sales price

From the above calculation;

[tex]Remaining\ Toy = 50 - 25[/tex]

[tex]Remaining\ Toy = 25[/tex]

Calculating Two-fifth of the remaining:

[tex]\frac{2}{5} * 25[/tex]

[tex]= \frac{50}{5}[/tex]

[tex]= 10[/tex]

Calculating half of the sales price:

[tex]\frac{1}{2} * \$15[/tex]

[tex]\$7.5[/tex]

This means that 10 toys were sold for $7.5

[tex]Sales = 10 * \$7.5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

The remaining was sold at one-third of the sales price

From the above calculations (1 & 2);

[tex]Remaining\ Toy = 50 - 25 - 10[/tex]

[tex]Remaining\ Toy = 15[/tex]

Calculating one-third of the sales price:

[tex]\frac{1}{3} * \$15[/tex]

[tex]\$5[/tex]

This means that 15 toys were sold for $5

[tex]Sales = 15 * \$5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

Now the total sales can be calculated;

[tex]Total\ Sales = \$375 + \$75 + \$75[/tex]

[tex]Total\ Sales = \$525[/tex]

[tex]Profit = Total\ Sales -\ Cost\ Price[/tex]

[tex]Profit = \$525 -\$275[/tex]

[tex]Profit = \$250[/tex]

Answer:

b

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

https://brainly.com/question/14966973

#SPJ6

1 blue paper chain and 2 red paper chains

Answer:

1 blue paper chains and 2 red

Step-by-step explanation:

becuase 4 plus 3 plus 3 is 10

Answer:

28% decrease

Step-by-step explanation:

If we decrease by 60%, we are keeping 100-60 = 40%

Let x be the original amount

decrease by 60% = keep 40%

.40 x

If we increase by 80%, we are keeping 100+80 = 180%

(.40x) * 180%

.40x * 1.80

.72x

Take .72 times the original amount

100 - .72 = 28

It decreased 28 %

Answer:

28% decrease

Step-by-step explanation:

Answer:

q=9

Step-by-step explanation:

9q=81

Divide each side by 9

9q/9=81/9

q = 9

Answer:

Q=9

Step-by-step explanation:

SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9

9Q/9=81/9

WHICH SIMPLIFIES TO

Q=9

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                             PEACE!

Answer:

(a)

Step-by-step explanation:

The tangent and the normal at point P are perpendicular.

Given

[tex]m_{tangent}[/tex] = 3, then

Given the gradient m of the tangent then the gradient of a line perpendicular to it is

[tex]m_{normal}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] → (a)

Answer:

88

Step-by-step explanation:

89+85+95+83= 352,

352/4 = 88

Hey there! I'm happy to help!

First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.

[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]

Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!

Have a wonderful day!

Answer:

As a mixed number the answer to your question will be 9 27/35 or 6 3/7

The steps will be below.

Step-by-step explanation:

You first have to convert theses mixed numbers to fractions.

3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.

Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!

2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.

Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!

Now if we multiply both of the factions we get the answer.

18/5 X 19/7

= 9 27/35 or 6 3/7

(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)

Hope this helps!

Answer:

The correct answer is A. R(d) = -54d2 + 1,269d + 10,530

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Price per seat when the average attendance is 810 fans = $ 13

For every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game.

2.  Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00?

R(d) = (13 + 2d) (810 - 27d)

R(d) = 10,530 + 1,620d - 54d² - 351d

R(d) = -54d² + 1,269d + 10,530

The correct answer is A. R(d) = -54d2 + 1,269d + 10,530

Answer:

cos 42 = 10 / AB

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 42 = 10 / AB

Answer:

A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

Step-by-step explanation:

Example: Long Jump

Sam got his friends to do a long jump and got these results:

long jump

2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0

And here is the stem-and-leaf plot:

Stem Leaf

2 3 5 5 7 8

3 2 6 6

4 5

5 0

Stem "2" Leaf "3" means 2.3

Note:

Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)

In this case each leaf is a decimal

It is OK to repeat a leaf value

5.0 has a leaf of "0"

Answer:

7/40 or 0.175

Step-by-step explanation:

simplify to get 2x+1/4=3/5

subtract 1/4 from both sides to get 2x=7/20

divide by 2 to get 7/40

this answer i decimal form is 0.175

Answer:

x = 7/40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x +  1 /4  =  3 /5

Step 2: Subtract 1/4 from both sides.

2x +  1 /4  −  1 /4  =  3 /5  −  1 /4

2x =  7 /20

Step 3: Divide both sides by 2.

2x /2  =  7 /20  /2

x =  7 /40

Answer:

x =  7 /40

Hope this helps!!

Answer:

Step-by-step explanation:

Feel pleasure to help u...

Answer:

Breadth: 45 cm.

Area: 3,150 cm^2.

Step-by-step explanation:

The perimeter is 230. Since the length of the rectangle is 70 cm, and 70 * 2 = 140, the sum of the two breadths will be 230 - 140 = 90. That means that the breadth is 90 / 2 = 45 cm.

If the breadth is 45, and the length is 70, then the area is 45 * 70 = 3,150 cm^2.

Hope this helps!

Answer:

Step-by-step explanation:

Given the expression[tex]2(3j + 6 + 5j)[/tex] let us begin by simplifying the expression first by performing operation with the terms inside the brackets

[tex]2(3j + 6 + 5j) = 2(8j + 6 )[/tex]

We can continue by opening the bracket to further simplify the expression

[tex]2(8j + 6 ) = 16j+2[/tex]

[tex]16j + 12[/tex] is our final answer, now to express this verbal, this is a complex number/expression, expressed as "sixteen j plus twelve"

Answer:

x=26

Step-by-step explanation:

m<MNQ=m<P + m<Q by the EXTERIOR ANGLE THEOREM

132=3x+54 SUBSTITUTION

132-54=3x

78=3x

x=26 ALGEBRA

Answer:

3

Step-by-step explanation:

because its equal to the other side that says 6

x + 3 = 6

x = 6 - 3

x = 3

hope this is correct

Answer:

[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]

Answer: (6, 3)

Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.

Our second equation then becomes 2(2y) + 3y = 21.

If we simplify on the left side we get

4y + 3y = 21 which simplifies to 7y = 21.

Solving from here, we find that y = 3.

To find x, plug 3 back in for y in the first equation

to get x = 2(3) which simplifies to x = 6.

So our answer is (6, 3).

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

There are 2 outcomes that fit the category of 2 or a 5

P ( rolling 2 or a 5) = number of 2's or 5's / total number of outcomes

                               = 2/6

                               =1/3

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

A fair dice has 6 outcomes, 1, 2, 3, 4, 5, 6.

The outcomes 2 and 5 are 2 outcomes out of total 6 outcomes.

[tex]\frac{2}{6}=\frac{1}{3}[/tex]

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]\frac{6x+1}{3}+1=\frac{x-3}{6}[/tex]

To make things simple, multiply everything by the LCM of the denominator. In this case, the LCM of 3 and 6 is 6.

[tex]6(\frac{6x+1}{3}+1) =6(\frac{x-3}{6}) \\6(\frac{6x+1}{3})+6(1)=(x-3) \\ 2(6x+1)+6=x-3[/tex]

Now, simplify and solve for x:

[tex]12x+2+6=x-3\\12x+8=x-3\\11x+8=-3\\11x=-11\\x=-1[/tex]

Answer:

PLATO sample answer

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

Answer:

507

Step-by-step explanation:

apeex

Answer:

X<=5 and you would graph it with a closed dot on five and an arrow going left of it.

Step-by-step explanation:

Answer:

[tex]a<5\\\\a\in R[/tex]

Step-by-step explanation:

In several ways, for example, let:

[tex]a[/tex], an arbitrary constant, where:

[tex]a\in R[/tex]

Besides:

[tex]a< 5[/tex]

Because the number can be greater than five.

Therefore, the graph, would be all number over the interval:

[tex](-\infty, 5)[/tex]

As you can see, all numbers bellow the line [tex]y=5[/tex].

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

Answer:

the last one is equal to the question....

Step-by-step explanation:

Answer:

(5√11)/11 (option 1)

Step-by-step explanation:

If you multiply both the top and bottom by √11, you will get 5√11/11.

Next, make sure that the other answers are wrong.

5=√25, so

√11*5=√11*√25

So option 2 and 3 are incorrect.

#4 is obviously wrong, as you cannot simply switch the square root symbol between the denominator and numerator.

23

el número es 32 y si sumamos los dos dígitos suman 5

y si restamos 9 a 32 nos queda 23.

Answer:

[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]

Step-by-step explanation:

According to the definition of absolute value:

[tex]f(x)[/tex] if [tex]f(x) \geq 0[/tex]

[tex]-f(x)[/tex] if [tex]f(x) <0[/tex]

If [tex]m < 8[/tex], then:

[tex]y_{max} = 7\cdot (8) - 56[/tex]

[tex]y_{max} = 0[/tex]

[tex]y[/tex] becomes negative as [tex]m[/tex] diverges to [tex]-\infty[/tex].

Then, the absolute value can be rewritten as follows:

[tex]|7\cdot m - 56| = -(7\cdot m -56)[/tex] if [tex]m <8[/tex]

[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]