The dimensions of a rectangular pool are 26.5 feet by 14 feet. The
depth of the water when full is 5 feet. Each cubic foot contains 7.48
gallons of water. How many gallons of water, to the nearest tenth, are
needed to fill the pool to 80% capacity?

Answer:

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

They lie on the same horizontal line

Distance = 11 units

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

They do not lie on the same vertical or horizontal line

Step-by-step explanation:

Given

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

Required

Determine if the points lie on the same vertical or horizontal line

A point is represented as: [tex](x,y)\\[/tex]

Using the above illustration, we have:

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

The above have the same x values (0), hence they lie on the same horizontal line.

The distance between them is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{(0-0)^2 + (-2 - 9)^2}[/tex]

[tex]d = \sqrt{0^2 + (-11)^2}[/tex]

[tex]d = \sqrt{0 + 121}[/tex]

[tex]d = \sqrt{121}[/tex]

[tex]d = 11[/tex]

The distance between them is 11 units

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

The above pair do not have the same x value and they do not have the same y value.

Hence, they do not lie on the same vertical or horizontal line

Answer:

0 is 16 1 is 13 2 is 17 that's it final answer

well it would make sense to say that the longest fish is 12in longer than the shorter fish because if you take 21in (the longest fish) and subtract 9 (the shortest fish) you would get 12.

Hope that helped pls give brainlist

Answer:

Y = 60 degrees and X = 12

Step-by-step explanation:

x+3 and 15 are congruent so x+3 = 15, 12+3 = 15 therefore x = 12

y = 60 vertically opposite angles are equal. :D

Answer:

x= 12

y= 60

Step-by-step explanation:

to find x we need to know that lines DC and AB are parallel, so they have the same length (I don't know if that is why they have the same length, but I know they do lol)

So you can make this equation and solve:

15=x+3

-3     -3

12=x

THEN, to find y angle A and C are vertical angles, so they are congruent (this is the reason why they have the same measure lol)

So, y=60 degrees :)

I hope this sorta helps lol :)

Answer:

from what we're given on the drawing, ac and pt are congruent

and from the question format, ab is equal to pq, ac is equal to pr

Answer:

Each cereal bar is 1.4 ounces

Subtract the weight of the empty box from the 18.55 (because that's the weight of the box AND the cereal)

You are then left with 16.8 ounces, which is just the weight of the 12 cereal bars.  

To find the weight of one cereal bar, assuming that all cereal bars weigh the same, you need to divide 16.8 by 12.

So that results in each cereal bar weighing 1.4 ounces

Answer:

Part A:

Most of the data points are above line m. All of the data points are below line n. The data points are evenly distributed on either side of line l. Therefore, line l is the line of best fit for the data.

Part B:

For the line of best fit, the y-intercept is approximately  10  and the slope is approximately 2 .

Part C:

Y= 2x+10

Step-by-step explanation:

Part A:

Most of the data points are above line m. All of the data points are below line n. The data points are evenly distributed on either side of line l. Therefore, line l is the line of best fit for the data.

Part B:

To find the y-intercept of a line, identify where the line intersects the y-axis. Because the line of best fit is line l, the y-intercept is 10.

To find the slope, choose two points on line l, such as (10,30) and (30,70):

Part C:

To get the equation of the line, substitute the y-intercept, 10, for b and the slope, 2, for m.

Please give me the brainlliest crown Pls

Answer:

15

Step-by-step explanation:

it all comes down to 7x-1

then set that equal to 106 so it looks like 7x - 1 =106

106 - 1 = 105

105/7 = x

x = 15

good luck on your test

Answer:

Step-by-step explanation:

Answer:

Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = c v, then u and v are parallel. The following diagram shows several vectors that are parallel.

Step-by-step explanation:

The requried given vectors are not parallel. As their dot product is not zero.

Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.  

Two non-zero vectors are parallel if they are scalar multiples of each other. In other words, if one vector is a constant multiple of the other, then they are parallel.

Let k be the scalar multiple such that:

u₁ = k u₂

Substituting the given values of u₁ and u₂, we get:

<2, 3> = k <-3, -2>

Multiplying both sides by -1, we get:

<-2, -3> = k <3, 2>

Now, we can see that the two vectors are not scalar multiples of each other, since there is no value of k that satisfies this equation. Therefore, u₁ and u₂ are not parallel.

We can also verify this by checking their dot product. If the dot product of two non-zero vectors is zero, then they are orthogonal (perpendicular), not parallel. The dot product of u₁ and u₂ is:

u₁ ⋅ u₂ = (2)(-3) + (3)(-2) = -6 - 6 = -12

Since the dot product is not zero, we can conclude that the vectors u₁ and u₂ are not parallel.

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Answer:

i = -6

Step-by-step explanation:

3 - 2i + 8 = 23

3 + 8 - 2i = 23

11 - 2i = 23

11 - 11 - 2i = 23 - 11

-2i = 12

-2i ÷ -2 = 12 ÷ -2

i = -6

Answer:

A. Yes

B. No

C. Yes

D. Yes

E. No

F. Yes

Step-by-step explanation:

A Write the equation 3n + 4 + 6 = 2n – 14. Yes

B Write the equation 3(n + 4) + 6 = 2(n – 14). No

C Combine like terms. Yes

D Subtract 2n from each side. Yes

E Add 10 to each side. No

F Subtract 10 from each side. Yes

Solution:

sum of 3 times a number and 4 is increased by 6, the result is 2 times a number decreased by 14

Let the number = n

{(3 * n) + 4} + 6 = (2 * n) - 14

3n + 4 + 6 = 2n - 14

3n + 10 = 2n - 14

3n + 10 - 2n = 2n - 14 - 2n

n + 10 = -14

Subtract 10 from each side

n + 10 - 10 = -14 - 10

n = -24

Answer: A. Yes B. No C.Yes D. Yes E. No F. Yes

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

1) I would lean more toward false because most of the points aren't in a straight line

2) That is most likely true because the line of best fits appears to be hitting that point

3) That is false because point D is located on the line of best fit which means it isn't an outlier

Answer:

The median is 3 miles .....

Answer:

the median is 4 miles

list then from least to greatest and cross off a number from each side

Answer: (0, 10) or 10

Step-by-step explanation:

plug 0 into y

(0) = 1/2x - 5

1/2x - 5 = 0

      + 5 + 5

1/2x = 5

* 2    * 2

x = 10

What expression is equivalent to -2 (5x - 4) + 13x

=3x+8

Answer:

28.9

Step-by-step explanation:

Answer:

The outlier made the mean lower than all the other values.

Step-by-step explanation:

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Mean of numbers without the outlier = (108 + 113 +105 + 118 + 124 + 121 +109) / 7 =  114

Mean of numbers with the outlier = (108 + 113 +105 + 118 + 124 + 121 +109 + 41) / 8 = 104.9

the mean with the outlier is lower than any of the numbers

Answer:

C

Step-by-step explanation:

Answer:

I cant remember this

Step-by-step explanation:

i cant remember

Answer:

Hello! answer: 45, 20, 15, 11, 36, 8, and 5

Step-by-step explanation:

Data set I created: 45, 20, 15, 11, 36, 8, and 5

It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps

Answer:

2.67 feet long

Step-by-step explanation:

Create a proportion where x is the length of the parking meter's shadow:

[tex]\frac{23.9}{17.7}[/tex] = [tex]\frac{3.6}{x}[/tex]

Cross multiply and solve for x:

23.9x = 63.72

x = 2.67

So, the parking meter's shadow is approximately 2.67 feet long

Answer:

A & B

Step-by-step explanation:

4x²- 12x + 9 = 5

4x²- 12x + 4 = 0

devided by 4

x²-3x+1=0

x = (3 ± √9-4)/2 = (3±√5)/2

x = (√5+3)/2 or x= (-√5+3)/2

It is to be noted that the scatter plot that represent the above data is attached accordingly.

A scatter plot is a graph in which the data of two variables are displayed along two axes, and any association is revealed by the pattern of the resultant dots.

Slope-intercept form is y = mx + b

m is the gradient of the line, determined by calculating "change of y divided by change of x"

To compute for the gradient (m) we say:

(60 - 32)/(8-2)

= 28/6

m = 4.667

Next we calculate for b

The point on the graph where the line crosses the vertical line is known as the y-intercept, or b. (y-axis).

Put one of the graph's points, say (2, 32), and the amount of m you just computed into the slope-intercept form to calculate b.

That is:

32 = m(2) + b

Recall that m = 4.667

Hence 32 = 4.667 * 2 + b

32 = 6.667 + b

b = 32 - 6.667

b = 25.33

Given that we have the figures for m and b,
Recall that the function is: y = mx + b; and that

If x = 14 years, then

y = 4.667 * 14 + 25.33

y = 90.668

y ≈ 91 kg.

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Answer:

Mean=

36/5=7.2

Median=8

Step-by-step explanation:

mean=add all the numbers/divide by how many

13+12+8+2+1=36

5 numbers altogether hence,

36/5=7.2

median=arrange all numbers and middle term is the median(for odd numbers only)

13,12,8,2,1

Hence,8 is the middle term

Hope this helped xx

Answer:

$2720

Step-by-step explanation:

Given data

Principal=$2000

r= %6

T= 6 years

The expression for the final amount is

A= P(1+rt)

A=2000(1+0.06*6)

A=2000(1+0.36)

A=2000*1.36

A=2720

Hence the amount is $2720

Answer:

#1 ) Vertical

#2) All rhombi are squares

#3) Isosceles

#4) Trapezoid

#5) No pairs of parallel sides

Hope this helps! Mark me brainliest if I'm right :)

Answer:

y=x−3

Step-by-step explanation:

x−y=3

Step 1: Add -x to both sides.

x−y+−x=3+−x

−y=−x+3

Step 2: Divide both sides by -1.

−y/−1=−x+3/1

y=x−3

The mean, median, and mode of the data will be 41.111, 40, and 51 respectively.

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The data is given below.

63, 40, 51, 70, 36, 21, 51, 28, 19

Arrange the data in ascending order, then we have

19, 21, 28, 36, 40, 51, 51, 63, 70

Then the mean of the data is given as,

Mean = (19 + 21 + 28 + 36 + 40 + 51 + 51 + 63 + 70) / 9

Mean = 379 / 9

Mean = 42.11

The median of the data is the middle term of the data which is 40.

The mode is 51 because the number frequency of 51 is the highest.

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Answer:

28.27 I believe

Step-by-step explanation:

Answer:

28.26ft²

Step-by-step explanation:

A = πr²

plug in 3 for r

A = π(3²)

A = π(9)

A = 3.14(9)

A = 28.26ft²