The coordinates of the vertices of a quadrilateral are (8, 11) (11, 7) (8, 3) (2, 3). What is the area, in square units, of the quadrilateral?​

so

number = a e^(kt)

2272 = 1800 e^(5k)

1.26222... = e^5k

ln 1.26222... = 5k

k = .04657.. <----- your hourly growth parameter

the instantaneous rate of growth is appr 4.657% per hour.

Answer: give the proper question

Step-by-step explanation: for solutions

Answer:

see explanation

Step-by-step explanation:

the translation < 3, 2 >

means add 3 to the original x- coordinate and add 2 to the original y- coordinate, then

A (3, 0 ) → A' (3 + 3, 0 + 2 ) → A' (6, 2 )

B (4, - 2 ) → B' (4 + 3, - 2 + 2 ) → B' (7, 0 )

C (1, - 3 ) → C' (1 + 3, - 3 + 2 ) → C' (4, - 1 )

Answer:x < 3/14

Step-by-step explanation:

-14x > -3

x < 3/14

Answer: x<3/14

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

if tickets cost $12 for adults and there are 3 adult tickets being bought the total cost for adult tickets will be $36

Now for the kids, the tickets cost $4 and there are 8 kids, so the total cost for the kids tickets is $32

so the total price for 3 adult tickets and 8 kids tickets is $68

------

sorry if I didn't answer right I cant tell if the last part is a typo or a question

Answer:

see below

Step-by-step explanation:

ok so there are 8 children and $4 so 4x8=32 and 3 adults for $12 so 3x12=36

36 + 32

3+3=6

6+2=8

36+32= 68

Using it's equation, it is found that the percent decrease in the annual mean thickness of the ice cover was of 33.69%.

It is given by the decrease divided by the initial amount and multiplied by 100%.

In this problem:

Hence the percent decrease is given by:

P = (1.25/3.71) x 100% = 33.69%.

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Answer: Store B

Step-by-step explanation:

So for Store A 5 bowls are $15

1 bowl = 15/5

          = 3

Same applies for all

Store b = $2

Store c = $3

Thus Store B is cheaper

Answer:

5.66

Step-by-step explanation:

→ State Pythagoras' theorem

a² + b² = c²

→ Substitute in the values

4² + 4² = c²

→ Simplify

32 = c²

→ Square root both sides

√32 = c

Answer:

Step-by-step explanation:

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c= √32

c= 5.66

Answer:

The parents of the seventh grade students

Answer:

58 inches

Step-by-step explanation:

15+12=27+14=41+9=50+8=58

Answer:

smallest whole number is 0 so product of 0 is 0

smallest natural number is 1 so product of 1 is 1

Answer: B

All of the other options do not apply,

If one person received 25 messages. Then the number of messages received by each friend will be 26.

The division of something into distinct portions, or the sharing of something among other persons, locations, or things, is referred to as division.

A group of 9 friends received a combined total of 233 text messages in two hours. One person received 25 messages.

Then the number of the remaining messages will be

→ 233 - 25

→ 208

Then the number of the text messages that each of the other 8 friends receives is the same number of the messages. Then we have

Let each friend has an equal number of the messages be x. Then

[tex]\rm x = \dfrac{208}{8}\\\\x = 26[/tex]

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The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

Draw dots on each of the data element in the data set:

25 repeated 1 time

25 1/2 repeated 2 times

26 repeated 1 time

27 3/4 repeated 1 time

28 1/2 repeated two times

And so on.

Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

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Answer:

[tex]\textsf{a)} \quad y=(x+1)^2-4[/tex]

[tex]\textsf{b)} \quad y=2(x-4)^2-2[/tex]

Step-by-step explanation:

Vertex form of a parabola:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and [tex]a[/tex] is some constant)

Substitute the vertex into the formula:

[tex]\begin{aligned}\implies y &=a(x-(-1))^2-4\\y & =a(x+1)^2-4\end{aligned}[/tex]

Substitute the point (1, 0) into the formula:

[tex]\begin{aligned}\implies a(1+1)^2-4&=0\\4a-4&=0\\4a &=4\\a &=1\end{aligned}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=(x+1)^2-4[/tex]

Substitute the vertex into the formula:

[tex]\begin{aligned}\implies y &=a(x-4)^2+(-2)\\y & =a(x-4)^2-2\end{aligned}[/tex]

Substitute the point (6, 6) into the formula:

[tex]\begin{aligned}\implies a(6-4)^2-2&=6\\4a-2 & =6\\4a &=8\\a &=2\end{aligned}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=2(x-4)^2-2[/tex]

Find a

So

Vertex form

#2

Find a

Vertex form

The equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) is

The Correct option is (C) and (E)

A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form ax+ b = 0.

The given equation is:− 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) .

= -3x+18 + 12 x -8x-3

=x +15

The corresponding equation to the above equation is:

C. x+15

D. (12 x - 11x) + (3-18)

= x-15

E. (12 x - 11x) + (18-3)

= x+15

F. (12 x - 11x) + (-6+3)

= x-3

As from the above it can be seen that the equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) . is

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Answer:

Domain: -4 < x < 2

Range: -3 < y < 3

Answer:

Step-by-step explanation:

2 2/9? maybe because 1/8 is 6 times bigger than 1/2, so if you add 6 to 2 2/3 it would be 2 2/9?

You would need 1/4 white paint to mix with 2 2/3 quarts of blue paint to make the same shade of paint.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The amounts of each type of paint as fractions of the total amount of paint: 1/2 quart of blue paint is 1/(1+1/2) = 2/4 = 1/2 of the total amount of paint, and 1/8 quart of white paint is 1/(1+1/2+1/8) = 1/8 of the total amount of paint.

So the ratio of blue paint to white paint in the original mixture is 1/2 to 1/8, or 4 to 1. To make the same shade of paint with 2 2/3 quarts of blue paint, we need to use the same ratio of blue paint to white paint.

So we need 1/4 as much white paint as blue paint, which is (1/4) × 2 2/3 quarts = 2/3 quart of white paint.

The error in the original solution was not correctly finding the ratio of blue paint to white paint in the original mixture, which is necessary to determine the correct amount of white paint to mix with a different amount of blue paint to create the same shade.

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To change words into equations, we can recognize keywords that translate into operations and/or numbers:

Let the two numbers be a and b.

We're given:

First, isolate a in the first equation and substitute it in the second equation to solve for b:

[tex]\dfrac{a}{b}=3\\\\a=3b[/tex]

[tex]a+b=8\\3b+b=8\\4b=8\\b=2[/tex]

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for a:

[tex]a+b=8\\a+2=8\\a=6[/tex]

Therefore, the other number is 6.

The two numbers are 2 and 6.

Answer: 17a

Step-by-step explanation: additon

Answer:

triangle: 28cm² | parallelogram: 88cm² | composite: 116cm²

Step-by-step explanation:

Find area of triangle (1/2)(base)(height)

(1/2)(8)(7)

(4)(7)

28cm²

Find area of parallelogram (base)(height)

(8)(11)

88cm²

Add them together to get the composite area

28 + 88 = 116cm²

Answer:

300g

Explanation:

heat added=specific heat * m * change in temp

705= .235* x*(35-25)

solve for x, thus the answer being 300g

Answer:

65 degrees

Step-by-step explanation:

The degrees always has to add up to 180 degrees, so if you add 90 degrees and 25 degrees, you get 115 degrees. So since it has to be 180 degrees, you add 65 to 115, and you get 180 degrees.

Answer: 65 degrees . HOPE IT HELPS .

Answer:

Step-by-step explanation:

Comment

The formula for density is D = m/V

Therefore the units of density is

Density = grams/cm^3

Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

In this problem, the mean is given by:

M = (65 + 58 + 64 + 61 + 67)/5 = 63.

Hence the mean absolute deviation is given by:

MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.

The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

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Answer:

D)

Step-by-step explanation:

This is a subjective function and range and co-domain are equal.

Range = {3 , 5 , 7}

Answer: 20 lawns can mowed in 7hrs

Step-by-step explanation:

Rate of the lawns to mow is [tex]\frac{5}{7}[/tex]lawns per hour.

" Rate is defined as the ratio of the comparison of two different quantity with different unit."

According to the question,

Given,

Number of hours to mow 5 lawns = 7hours

Rate of the lawns mowed = [tex]\frac{5}{7}[/tex] lawns per hour

Hence, rate of the lawns to mow is [tex]\frac{5}{7}[/tex]lawns per hour.

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Answer:

SA = 76 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(4)(2) + 2(2)(5) + 2(5)(4)

SA = 2(8) + 2(10) + 2(20)

SA = 16 + 20 + 40

SA = 76 cm²

Final answer: 76 cm²

Hope this helps!