This table displays the height of water as a pool is being Use the table to interpret the rate of change.
filled.
What is the change for each consecutive input?
Time (min)
Height
(in.)
What is the change for each consecutive output?
10
3.75
What is the rate of change for the relationship?
11
4.1
VVU
ለለለ
12
4.45
13
4.8

Answer:

5(-x)

Step-by-step explanation:

angle FEB = angle ABE ( Alternate Interior Angles )

angle FEB = 4x = angle ABE

x + 4x + 65° = 180° ( sum of the Angles On the same line is equal to 18° )

or, 5x = 180° - 65°

or, x = 115/5

or, x = 23

The value of x is 23°.

4x = 4(23) = 92°.

Answer:

7

Step-by-step explanation:

Answer:

It is possible.

Step-by-step explanation:

Each piece of cheese can be divided into two equal pieces.

Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.

Then there will be 15 pieces in each group.

Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.

Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.

Answer: -13

Step-by-step explanation:

The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.

Distance = 7 + 5
Distance = 12 feet

Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.

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Answer:

the dependant variable is the time

Answer:

Step-by-step explanation:

Her former rent is $ x

Twice the former rent: 2*x = 2x

$300 less than 2x: 2x - 300

2x - 300 = 550

Add 300 to both sides

2x - 300 + 300 = 550  + 300

                    2x = 850

Divide both sides by 2

               2x/2 = 850/2

x = 425

Her former rent = $425

In this question, the older and newer rents of a student in two apartments in given. And some conditions and information is also provided,

GiveN:

We have find her rent in the previous apartment.

Let her previous rent be $ x

Then according to question,

➝ $ 550 = 2x - $ 300

Adding $ 300 both sides,

➝ $ 550 + $ 300 = 2x

Flipping it,

➝ 2x = $ 850

➝ x = $ 425

So, The previous rent of the student:

[tex] \huge{ \boxed{ \bf{ \$ \: 425}}}[/tex]

And we are done !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Answer:

Step-by-step explanation:

A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.

To bisect CD, draw CD to the required length.

Open the compass to a radius greater than the the middle of CD.

With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.

Join the point of intersection of the two arcs by a line.

Label the point where the bisector passes through CD as M.

The construction would be as what is attached to this answer.

Answer:

23.75

Step-by-step explanation:

how this helped bye I would appreciated if u liked my comment tho

The cost of 2 1/2 meters of wood is $23.75

The given parameters are:

The total cost is then calculated as:

Total = 9.50 * 2 1/2

Evaluate the product

Total = 23.75

Hence, the cost of 2 1/2 meters of wood is $23.75

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Answer:

(1/2), (3/2)

Step-by-step explanation:

midpoint fomula

(x1+x2)/ 2,  (y1+y2)/2

(5-4)= 1    1/2 = (1/2)

(-1+4)=3    3/2=(3/2)

A : (x₁ , y₁) = (-4 , 4)

B : (x₂ , y₂) = (5 , -1)

Formula of [tex]\tt{midpoint}[/tex] is given by

◈ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2

_________________________________

⇒ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2

⇒ (x , y) = [5+(-4)]/2 , [-1+4]/2

⇒ (x , y) = 1/2 , 3/2

Answer:

round them up

Step-by-step explanation:

The correct answer is A. 12

Explanation:

In mathematics, odd numbers are those numbers that cannot be divided into 2 without using a decimal number, for example, 13 ÷ 2 = 2.5 (decimal number). This does not occur with even numbers such as 26 because these can be divided into 2 and the result is an integer rather than a decimal (26 ÷ 2 =13).

On the other hand, a counterexample is a situation that shows an exception to the rule. In the rule "All multiples of 3 are odd", one counterexample is the number 12 because this is an even number (12 ÷2 = 6). Moreover, this number is a multiply of 3 as 3 can be multiplied by 4 to obtain 12, which shows multiplies of 3 can be even numbers.

Answer:

a. M = 50

b. M = 242

Step-by-step explanation:

mean =  [tex]\frac{sum of scores}{number of samples}[/tex]

⇒ sum of scores = mean x number of samples

Let the mean be represented by M, and the number of samples be represented by n,

sum of scores = M x n

a. When n = 5 for both samples,

The first sample's sum of scores = M x n

                                     = 7.2 x 5

                                     = 36

The second sample's sum of scores = M x n

                                     = 12.8 x 5

                                     = 64

The mean for the sum of scores of the combined set = [tex]\frac{36 + 64}{2}[/tex]

                                     = 50

When both samples have n = 5, the mean of the combined set is 50.

b. When the first sample has n = 5, the sum of scores = 36.

If n = 35 for the second sample, the sum of scores = M x n

                                                          = 12.8 x 35

                                                          = 448

The mean for the sum of scores of the combined set = [tex]\frac{36 + 448}{2}[/tex]

                                                    = 242

Answer:

a. Mean = 1,282.7 Angstroms

b. Standard deviation = 15.5

Step-by-step explanation:

a. Firstly, we are told to calculate the sample average. This is same as the mean;

Mathematically that would be;

The value of the sum of terms/ The number of terms.

= (1264 + 1288 + 1272 + 1304 + 1280 + 1301 + 1270)/7 = 8979/7 = 1282.7

b. Standard deviation

Mathematically, this is the square root of variance

= √{(x - mean)^2/N-1}

Please check attachment for the breakdown of this

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the length of the bouncy castle is X² +4 and the width is 2x² - 3x  +7

The bouncy castle is a rectangle. A rectangle is a quadrilateral in which opposite sides are equal and all the angles have equal measures. The diagonals of a rectangle also bisect each other. The perimeter of a rectangle = 2(length + breadth), Hence for the bouncy castle:

Perimeter of castle = 2(length + breadth) = 2(x² + 4 + (2x² - 3x  +7)) = 2(3x² - 3x + 11) = 6x² - 6x + 22

Perimeter of castle = 6x² - 6x + 22

The area of the castle = length × breadth = x² + 4 × (2x² - 3x  +7)) = 2x⁴ - 3x³ + 7x² + 8x² - 12x + 28 = 2x⁴ - 3x³ + 15x² - 12x + 28

Answer:

8653 × 8975= 77660675.

So the answer is 77660675

Hope I helped you

Answer:

the answer is 77660675

Step-by-step explanation:

Answer:

9 =6x

Step-by-step explanation:

We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.

Answer:

9/6 or 1.5

Step-by-step explanation:

both are right

Answer:

[tex]r-value = 0.99[/tex]

Step-by-step explanation:

Given

The list of options

Required

Which represents the strongest correlation.

When [tex]r-value > 0.7[/tex], it is considered to be strong.

Compare this condition with the given options, we're left with:

[tex]r-value = 0.73[/tex]

[tex]r-value = 0.99[/tex]

The above r-values show strong correlation.

However

[tex]r-value = 0.99[/tex] is stronger

because [tex]0.99 > 0.73[/tex]

Hence;

[tex]r-value = 0.99[/tex] answers the question

Answer:

22 46 15

Step-by-step explanation:

i looked it up because i was even confused. but i think this is right. hope this helps.

[tex](7x + 40) + (6x + 43) = 180\\7x + 40 + 6x + 43 = 180\\7x + 6x = 180 - 40 - 43\\13x = 97\\x = \frac{97}{13}[/tex]

I'm not sure what you mean by Z but x is [tex]\frac{97}{13}[/tex]

$ 232.90

62% ........... $144.40

100% ..........$ x

x = 144.40×100/62

= 14440/62

= $ 232.90

Answer:

a) Jasmine or Jasmina is correct about the silicone sealant cones.

If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).

b) If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2).

Step-by-step explanation:

Jumbo cone of sealant has top diameter of 8 inches and a height of 12 inches

Regular cone of sealant has top diameter of 4 inches and a height of 6 inches

If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).

If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2), since two of the regular cone will give the value of a Jumbo cone.

Answer:

Step-by-step explanation:

-3t + 3 - 7t = -90 - 7

Simplify both sides of the equation

That's

- 10t + 3 = - 97

Using the subtraction property subtract 3 from both sides of the equation

We have

- 10t + 3 - 3 = -97 - 3

- 10t = - 100

Divide both sides by - 10

[tex] \frac{ - 10t}{ - 10} = \frac{ - 100}{ - 10} [/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

-3t + 3 - 7t = -90 - 7

-10t + 3 = -97

-10t = -100

t = 10

Answer:

Step-by-step explanation:

↘↘↘↙↙↖↗↙↖

Answer:

$7,000

Step-by-step explanation:

Let [tex]x[/tex] equal the original price.

[tex]12,000+2000=2x[/tex]

Combine like terms.

[tex]14,000=2x[/tex]

Divide by the coefficient of [tex]x[/tex], which in this case is [tex]2.[/tex]

[tex]7,000=x[/tex]

If you like the variable on the left, rewrite:

[tex]x=7,000[/tex]

The simplest approach to do this is:

Convert both numbers to string

Concatenate both strings into one, as this is comparatively easy

Convert this concatenated string back to integer

Step-by-step explanation:

Given two integers n1 and n2, the task is to concatenate these two integers into one integer.

Example:

Input: n1 = 12, n2 = 34

Output: 1234

Input: n1 = 1, n2 = 93

Output: 193