Please explain how you got your answer.

Please Explain How You Got Your Answer.

Answers

Answer 1

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, 2 ) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = [tex]\frac{3}{2}[/tex] x + 11 ← equation of perpendicular line

Answer 2

Answer:

I miss you

Step-by-step explanation:


Related Questions

The length and with of rectangle are consecutive odd integers. the perimeter of the rectangle is 48 meters . find the length and width of the rectangle

Answers

The dimensions width and length are 11 cm and 13 cm, respectively .A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

What is perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Perimeter: 48 cm

The dimensions width and length are consecutive odd integers:

Width: x

Length: x+2

Equation:

2 [(x+2) + x] = 48

Find the width x:

2 [2x + 2) = 48

4x + 4 = 48

4x = 48 - 4

4x/4 = 44/4

x = 11   Width

Find the lenght x+2:

x+2  ⇒ 11+2 = 13   Length

The dimensions:

Width: 11 cm

Length : 13 cm

11 and 13 are consecutive odd integers.

Check:

2 (length + width) = 48

2 (13 + 11) = 48

2 (24) = 48

48 = 48  

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stuck on this math question for years,! if anyone helps 12 points !!!

Answers

Answer:

3

Step-by-step explanation:

There are 4.5 diamonds, which represent 9 hours in total.

This corresponds to 9/3 = 3 circles.

Answer:

3 circles

Step-by-step explanation:

For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.

Help please! Some friends go to an amusement park in one car. They must pay a 6.00 parking fee plus 29.99 per person for tickets. The algebraic equation is C=6.00+29.99. Use the equation to calculate the number of tickets purchased for the group if the total cost was 215.93. Show all work

Answers

Answer:

7 # there were 7 people in the group

Step-by-step explanation:

C = 6.00 + 29.99x # the equation given

215.93 = 6.00 + 29.99x # 215.93 is the total so substitute it for C. Now we solve for x

209.93 = 29.99x # We subtracted 6 from both sides

7 = x # We divided 29.99 from both sides

7 is our answer

twelve hungry teenagers can devour a very large pizza in $20$ minutes. how many teenagers would it take to finish a very large pizza in $15$ minutes? (assume that all teenagers eat pizza at the same rate.)

Answers

It would take 9 Teenagers to finish a very large pizza in $15$ minutes.

From the knowlegde of Propotional method/ subject formular in mathematics;

From the questions:

12 Teens finished a very large pizza in $20$ minutes.

The number of teens to finish a very large pizza in $ 15 minutes would calculate thus,

12 Teens=$20$ minutes.

x Teens=$15$ minutes.

then we cross multiply:

x Teens × $20$ minutes =$15$ minutes × 12 Teens

making  x Teens subject of the formula we have;

x Teens=$15$ minutes × 12 Teens/$20$ minutes

x Teens=9 Teens

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Find the value of a. Enter a numeric answer only.

Answers

Solution

For this case we have the following, the sum of the angles needs to be 360 since we have a circumference:

10a-4 +6a-2 +8a+6=360

Regrouping we have:

10a +6a +8a -4 -2 +6= 360

24a= 360

a= 360/24= 15

Explain what is 20 divided by 5/3 show work

Answers

Answer:

12

Step-by-step explanation:

The shortest side of a right triangle measures 5, and the longest side measures 13. Determine the measurement of the unknown side.

Answers

Using the Pythagorean Theorem formula, the measurement of the unknown side (base) is 12 units.

How can the measurement of the unknown side of a right triangle be determined?

According to the Pythagorean Theorem formula, c² = √a²+b², where c = hypotenuse, a = perpendicular, and b = base.

The hypotenuse is the longest side of a right triangle.

The shortest side is the perpendicular (adjacent side) while the other side is the base (opposite side).

Since the hypotenuse is given as equal to the square root of perpendicular squared and the base squared, we can compute the base, unknown side, using the following Pythagorean Theorem formula.

c² = √a²+b²

The perpendicular (shortest side) of a right triangle = 5

The hypotenuse (longest side) = 13

c² = √a²+b²

169 = √5²+b²

169 = √25 + b²

The base (unknown side):

b² = 169 - 25

b² = 144

The square root of √144 = 12

b = 12

Thus, the unknown side of the right triangle is the base, measuring 12 units.

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The length of the unknown side is 12 units, which is the base of the right triangle.

The right triangle's perpendicular (shortest side) = 5 units

The right triangle's hypotenuse (longest side) = 13 units

According to the Pythagorean Theorem,

H² = P² + B², Where H = hypotenuse, P = perpendicular, and B = base.

As per the given question, here H = 13 and P = 5

Substitute the values of H = 13 and P = 5 in the Pythagorean Theorem,

(13)² = (5)²+ B²

169 = 25 + B²

B² = 169 - 25

B² = 144

B = √144

B = 12 units

Therefore, the length of the unknown side is 12 units,

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Triangles and angles worksheet

Answers

The △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.

What do we mean by the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

So, △ABE ≅ △CDE:

AB || CD (Given)∠ABE ≅ ∠CDE, ∠BAE ≅ ∠DCE (Diagonal bisects the angles)AB || CD (Given)E is the midpoint of AC and BD (Given)Point E  (Definition of midpoint)∠AEB ≅ ∠CED (Inversilly opposite angles)△ABE ≅ △CDE (AAA condition, ASA condition, SSS condition, and SAS condition)

Therefore, the △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.

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A circle passes through the points (3, 2) and (7, 2) and has radius 2√2. Find the two possible equations for this circle.

Answers

Answer:

(x-5)²+y² = 8(x-5)²+(y-4)² = 8

Step-by-step explanation:

radius, r = 2√2

let the center be A(a, b):

The distance from the center to any of the 2 points is r.

So for (7, 2):

it satisfies the equation:

(x-a)²+(y-b)² = r²

Substituting x and y:

(7-a)²+(2-b)² = (2√2)²

squaring both sides:

(7-a)² + (2-b)² = 8

a² +b² - 14a -4b + 49+ 4= 8

a² +b² - 14a -4b + 45= 0        (Eqn 1)

For (3, 2):

it also satisfies the equation:

(x-a)²+(y-b)² = r²

Substituting x and y:

(3-a)²+(2-b)² = (2√2)²

squaring both sides:

(3-a)² + (2-b)² = 8

a² +b² - 6a -4b + 9+ 4= 8

a² +b² - 6a -4b + 5= 0        (Eqn 2)

We can now proceed by elimination:

(Eqn 2) - (Eqn 1):

(a² +b² - 6a -4b + 5) - (a² +b² - 14a -4b + 45) = 0

- 6a - -14a+ 5  - 45 = 0

8a - 40 = 0

8a = 40

a = 40/8

a = 5

Putting a back into (Eqn 2):

a² +b² - 6a -4b + 5= 0

5² +b² - 6(5) -4b + 5= 0

25 +b² - 30 -4b + 5= 0

b² -4b = 0

b(b -4) = 0

Values of b:

b = 0 and b = 4

POSSIBLE EQUATIONS OF CIRCLE:

Since we have 2 values of b, we have 2 possible centers:

(5, 0) and (5, 4)

Putting the centers into the standard equation of the circle above, we obtain:

(x-5)²+y² = 8 and(x-5)²+(y-4)² = 8

PLEASE VOTE AS BRAINLIEST.

BLAISE M.

3,4,16/3 find the 10 term

Answers

The 10th term of the Geometric Sequence {3,4,16/3....} is 262144/6561.

The [tex]n^{th}[/tex] term of the Geometric Sequence is

given by the formula

aₙ = a*rⁿ⁻¹

where , a is the first term , r is the common ratio .

in the question ,

the sequence is given as {3,4,16/3....}

here we need to find the common ratio(r) ,

we know , r = a₂/a₁

So , r= 4/3 .

Since we need to find the 10th term  , so n=10 .

Substituting the values in the nth term formula , we get

a₁₀ = (3)*(4/3)¹⁰⁻¹

= 3* (4/3)⁹

= 4⁹/3⁸

= 262144/6561

The 10th term is 262144/6561.

Therefore , the 10th term of the Geometric Sequence {3,4,16/3....} is  262144/6561.

The given question is incomplete , the complete question is

Find the 10th term of the Sequence  {3,4,16/3....} ?

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Write a linear equation to represent the given problem and then solve the problem.

The perimeter of a college basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions?

Perimeter = 2 x Length + 2 x Width

Answers

Answer:

Step-by-step explanation:

Let L be the length and W the width

Perimeter of a rectangle is P = 2L + 2W

We are told that L = W + 14 (m)        [the length is 14 meters more than the width]

Area of a rectangle is A = L*W

We learn that A = 96 m^2

L*W = 96

Since L = W + 14, we can substitute:

L*W = 96

(W + 14)*W = 96 m^2

W^2 + 14W = 96

W^2 + 14W - 96  = 0

The solution to W in the above equation is 5.04 m

This means L = 5.04 m + 14 m

L = 19.04 meters

Perimeter = 2W + 2L

Perimeter = 2(5.04) + 2(19.04) = 96 m^2

Seth buys last year's best-selling novel, in hardcover, for $21.75. This is with a 25% discount from the original price. What was the original price of the novel?

Answers

Price after the 25% discount: $21.75

This means that $21.75 is 75% of the original price. If x is the original price, then:

[tex]\begin{gathered} 75\text{\% of }x=21.75 \\ \frac{75}{100}\cdot x=21.75 \\ x=\frac{100\cdot21.75}{75} \\ \Rightarrow x=\text{ \$}29 \end{gathered}[/tex]

simplify 4√(384.5)³ using logarithm​

Answers

After simplification of 4√(384.5)³ using logarithm​, the resulting answer is 30158.13684.

What is a logarithm?The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number. When measuring the relative change of a value rather than its absolute difference, logarithmic scales are helpful. Moreover, logarithmic scales are used to compress large-scale scientific data because the logarithmic function log(x) grows very slowly for large x. Common logarithms, with a base of 10, binary logarithms, with a base of 2, and natural logarithms, with a base of e 2.71828, are the four most popular types of logarithms.

So,  4√(384.5)³ using logarithm​:

(Refer to the image attached below for calculations.)= 30158.13684

Therefore, after simplification of 4√(384.5)³ using logarithm​, the resulting answer is 30158.13684.

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4x - 2y = 5 if the range is {-5,-3,0,7}

Answers

The domain of the given function given range is {1.25, -0.25, 1.25, 4.75}

Domain and range of a function

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f(x) make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of value.

Given the range of the function as {-5, -3, 0, 7}

Determine the domain from the function 4x - 2y = 5

4x - 2y = 5

4x - 2(-5) =5

4x + 10 = 5

4x = 5

x = 5/4 = 1.25

If y = -3

4x - 2y = 5

4x - 2(-3) =5

4x + 6 = 5

4x = -1

x = -1/4 = -0.25

If y = 0

4x - 2(0) =5

4x - 0 = 5

4x = 5

x = 5/4 = 1.25

If x = 7;

4x - 2y = 5

4x - 2(7) =5

4x - 14 = 5

4x = 19

x = 19/4 = 4.75

Therefore the equivalent domain of the function is {1.25, -0.25, 1.25, 4.75}

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write the slope-intercept form of the equation for each line
bro i need sm to help me quick

Answers

Answer:

y = x + 7

Step-by-step explanation:

The line rises at a slope of 1 and intercepts the y-axis at 7.

Devon is saving to buy a telescope. If he saves 7$ a week for 14 weeks which equation can be used to fund the total cost

Answers

Answer: Multiply 7 and 14

Step-by-step explanation: to find the answer you multiply 7 and 14 you get 98$ which is the total cost pls consider making me brainliest if im correct i really hope i am :)) make sure to tell me if im wrong

Answer:

Step-by-step explanation:

Step 1: Assume your variables

We can see that the money is being saved on a weekly basis.

So, let's assume the number of weeks for which the money is being saved to be the variable: [tex]x[/tex]

And let's consider the total cost after [tex]x[/tex] weeks to be: [tex]y[/tex]

Step 2: Manipulate the variables according to the information given

$7 is being saved each week.

So, in one week, [tex]\$7[/tex] is saved.

In two weeks, [tex]\$(7\times 2)[/tex] is saved.

So, in [tex]x[/tex] weeks, [tex]\$(7\times x)[/tex] is saved.

Step 3: Create the equation

In words, the equation will be as such:

Total cost after [tex]x[/tex] weeks = Amount saved in [tex]x[/tex] weeks

Upon representing this mathematically, we get:

[tex]y=7\times x\\y=7x[/tex]

The equation  [tex]y=7x[/tex]  can be used to find the total cost.

I need some explanation on how to do piece wise functions? Where do I even start with this equation, can you explain this step by step? Including breaking down the graphing of absolute functions?

Answers

A piecewise function is basically a function that behaves differently at different domain intervals.

The given piecewise function is

[tex]\begin{cases}2x\quad \quad \quad \quad \quad \quad x\le3 \\ \frac{1}{3}x^2-2x+9\quad x>3\end{cases}[/tex]

As you can see, the function has a different expression for the interval x is less than or equal to 3 and a different expression for the interval x is greater than 3.

The easiest way to determine which graph corresponds to the given piecewise function is to evaluate the piecewise function at different values of x and graph it.

Evaluate the piecewise function for the interval x is less than or equal to 3.

[tex]\begin{gathered} 2x \\ x=1\rightarrow2(1)=2 \\ x=2\rightarrow2(2)=4 \\ x=3\rightarrow2(3)=6 \end{gathered}[/tex]

Evaluate the piecewise function for the interval x is greater than 3.

[tex]\begin{gathered} \frac{1}{3}x^2-2x+9 \\ x=4\rightarrow\frac{1}{3}(4)^2-2(4)+9=6.33 \\ x=6\rightarrow\frac{1}{3}(6)^2-2(6)+9=9 \\ x=8\rightarrow\frac{1}{3}(8)^2-2(8)+9=14.33 \end{gathered}[/tex]

Now, let us graph these points

As you can see from the graph, it matches with the graph of the 2nd option.

Therefore, the correct graph of the given piecewise function is the 2nd graph.

suppose that the average price for a gallon of gasoline in the united states is 3.75 and in russia it is . assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of in the united states and a standard deviation of in russia. a. what is the probability that a randomly selected gas station in the united states charges less than per gallon (to 4 decimals)? b. what percentage of the gas stations in russia charge less than per gallon (to 2 decimals)? c. what is the probability that a randomly selected gas station in russia charged more than the mean price in the united states (to 4 decimals)?

Answers

Using probability, we know that the left-tailed area exists at 17.87%.

What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

So, now calculate as follows:

Let the critical value be x= $ 3.5Mean µ = $ 3.73Standard deviation σ = $ 0.25

Using formula:

z = (x - µ) / σ

Substitute the values in the above equation, and we obtain:

= (3.5-3.73) / 0.25

Simplifying the equation, we will get:

= (-0.23) / 0.25= -0.92

Finally, by using a table we calculate the left-tailed area:

P(z < -0.92) = 0.17878638 = 17.87 %

Therefore, using probability, we know that the left-tailed area exists at 17.87%.

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Complete question:

The average price for a gallon of gasoline in the United States is $3.73 and in Russia, it is $3.40. Assume these averages are the population means in the two countries and that the standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?

been stuck on this for ages

Answers

A bearing is a measurement of direction that uses North as a point of reference. Your bearing is 00° if you are moving north.

The angle from north to this bearing, measured counterclockwise, is the actual bearing. Utilize the knowledge that west is 270° from the north, south is 180°, and east is 90°.

The number of degrees in the angle measured counterclockwise from the north line to the line connecting the center of the compass is the bearing of a point.

How do you determine bearing angle?

The bearing is the angle subtracted in a clockwise direction from north to west. The bearing is 270° - 17° = 253° since the angle from north to west is 270°.

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In 2022, a company made a profit of $1.38 million. That amount is $2.54 million more than the profit from 2021.
What is the profit from 2021? Write & solve an Algebraic Equation.

Answers

P = 1.38 - 2.54 = -1.16 = a negative profit of $1.16 million = a loss of $1.16 million

The measures of the angles of a triangle are shown in the figure below. Solve for x.

27°

Answers

Answer:

153

Step-by-step explanation:

x+27=180

x=180-27

x=153

Tom’s car has 11 1/9 gallons of gas. If he uses 38 of the gas, how much gas does the car have left?

Answers

Answer: 6 [tex]\frac{17}{18}[/tex] gallons of gas left in the car

Step-by-step explanation:

   Upon further clarification, this question reads "3/8 of the gas" and not "38 of the gas."

     If Tom's car has 11 1/9 gallons of gas, and we want to know how much gas the car will have left if he uses 3/8 of that, we first need to find 3/8 of 11 1/9.

     "Of" can usually be written as multiplication.

3/8 of 11 1/9 = 3/8 * 11 1/9 = 4 1/6

     Next, we will use subtraction since he uses 4 1/6 gallons of gas.

11 1/9 - 4 1/6 = 6 17/18 gallons

In the figure below, N lies between M and P.
Find the location of N so that the ratio of MN to NP is 7 to 2.
M
- 27
Location of N
N
?
X
→→
Ś
P
-9

Answers

The position of N on the line segment is at the -14 mark

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

How to determine the location of N?

The complete question is added as an attachment

From the attachment, we have

The ratio is given as:

MN : NP = 7 : 2

Also, we have

Location of M = -27

Location of P = -9

The location of N is then calculated as

N = MN/(MN + NP) * (M - P)

Substitute the known values

N = 7/(7 + 2) * (-27 + 9)

Evaluate the sum

N = 7/9 * -18

Evaluate the product

N = -14

Hence, the location of point N is -14

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24. OPEN-ENDED Complete the table so that when t is the
independent variable, the relation is a function, and when
t is the dependent variable, the relation is not a function.

Answers

The following table shows how the relation is a function when t is the independent variable and not a function when t is the dependent variable:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

A vertical line drawn from the independent variable axis (x-axis) meets the function graph only once because a function is a relationship between an input and an output in which each input has just one output.

The independent variable is the input, while the dependent variable is the output.

Filling out the table in such a way that when t is the independent variable, the relationship is a function, and when t is the dependent variable, the relation is not a function, results in the following table:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

Given that each value of the independent variable t has a corresponding value of the velocity v, the aforementioned is a function.

However, when t is the dependent variable, the independent variable value of 1 produces two outputs of 1 and 5, which results in the following table:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

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if the scale in the drawing is 1/4inch=3miles, what is the distance, in miles between Hawthorne an Doylestown?(help)

Answers

We will investigate how to use ratios to determine the actual distance between cities as per defined scale.

We are given a scale conversion ( ratio ) at which distances are scaled down:

[tex]\begin{gathered} \text{Scale : Actual} \\ \frac{3}{4}\text{ in : }3\text{ miles} \end{gathered}[/tex]

We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.

[tex]\text{Scale distance = 1.75 in}[/tex]

Now utilize the scale conversion ratio to determine the actual distance:

[tex]\begin{gathered} \text{Scale : Actual } \\ \frac{3}{4}in\text{ : 3 miles} \\ \\ 1.75\text{ in: x} \\ ======= \\ \\ \frac{3}{4}\cdot x\text{ = 3}\cdot1.75 \\ \\ x\text{ = }\frac{3\cdot1.75\cdot4}{3} \\ \\ x\text{ = 7 miles} \end{gathered}[/tex]

Therefore, the distance between Hawthorne and Doylestown is:

[tex]7\text{ miles}[/tex]

For a particular rectangle, twice the width is 4 meters shorter than the length. The area of the rectangle is 126 square meters. What is the perimeter of the rectangle? ? meters

Answers

Let l be the length of the rectangle and w its width.

Then its area is given by:

a = l*w

Its perimeter is given by:

p = 2l + 2w

We also know that, for this specific triangle, we have:

2w = l - 4

l = 2w + 4

a = 126 m²

Applying this result in the area formula, we have:

w*l = 126

w(2w + 4) = 126

2w² +4w = 126

2w + 4w - 126 = 0

Therefore, w = 7 m and l = 2*7 + 4 = 10 m

Then, the perimeter is given by:

p = 2*18 + 2*7 = 36 + 14 = 50 m

Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes. If she continues at the same rate, how many hours will it take for Selena to make 264 more pancakes?

Answers

Selena needs 4 more hours to prepare 264 more pancakes.

What is unitary method?

Unitary method is a process of finding the value of a single unit, and use this value to find the value of the required number of units.

Given is Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes.

We have -

The rate at which Selena is making pancakes = 132 pancakes in 2 hours.

Number of pancakes left to be made = 264

Now, in 2 hrs she makes 132 pancakes

Then, in 1 hr she will make (132/2) or 66 pancakes.

Now, she makes 66 pancakes in 1 hour.

So, she will make 1 pancake in (1/66) hours

Therefore, she will make 264 pancakes in (264/66) or 4 hours.

Therefore, she will need 4 more hours to prepare 264 more pancakes.

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Which set of ordered pairs (x, y) could represent a linear function?
A = {(-3,5), (0, 2), (3,-1), (7,-4)}
B = {(0,3), (1,5), (2,7), (4,9)}
C= {(-3,8), (-1,7), (1,6), (3,5)}
D = {(-5, -1), (-2,2), (1,4), (4,7)}
OA
C
B
D
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The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

How is a linear function written?

The equation y = mx + b, where y is the y-coordinate, denotes a linear function. m represents the line's slope, or how steep it is. The coordinate for x is x.

The equation y = mx + b, where y is the y-coordinate, denotes a linear function.

m represents the line's slope, or how steep it is.The coordinate for x is x.the point where the line intersects the y-axis, or b.

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What type of transformation is this? Be specific

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that’s hard lol i think it might be rotations and reflection

The volume of this cube is 27 cubic centimeters. What is the value of p?P=___centimeters

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[tex]\begin{gathered} V=p^3 \\ V=\text{volume} \\ 27=p^3 \\ \sqrt[3]{27}=\sqrt[3]{p^3} \\ \sqrt[3]{27}=p \\ Fatoring\text{ 27:} \\ 27=3.3.3=3^3 \\ \sqrt[3]{3^3}=p \\ p=3\operatorname{cm} \end{gathered}[/tex]

[tex]\begin{gathered} V=p^3 \\ V=\text{volume} \\ 27=p^3 \\ \sqrt[3]{27}=\sqrt[3]{p^3} \\ \sqrt[3]{27}=p \\ Fatoring\text{ 27:} \\ 27=3.3.3=3^3 \\ \sqrt[3]{3^3}=p \\ p=3\operatorname{cm} \end{gathered}[/tex]

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