Imagine that you are an engineer for a soda company, and you are tasked with finding the most economical shape for its aluminum cans You are given a set of constraints: the can must hold a volume of liquid and be a cylindrical shape of height hand radius r, and you need to minimize the cost of the metal required to make the can
Look at a variety of aluminum cans of different sizes from the supermarket. Which models from problems a–c best approximate the shapes of the cans? Are the cans actually perfect cylinders? Are there other assumptions about the manufacture of the cans that we should take into account? Do a little bit of research, and write a one-page response to answer some of these questions by comparing our models to the actual dimensions used.

Answers

Answer 1

Answer:

The answer to that depends on the company

Step-by-step explanation:


Related Questions

Area of DEF = 6 sq ft
Find the area of ABC. Please help I need BOTH green and grey boxes please .

Answers

Answer:

54 ft^2

(54 in green box; 2 in grey box)

Step-by-step explanation:

We have 2 similar triangles, ABC and DEF.

The area of triangle DEF is given as 6 sq ft.

Side BC of triangle ABC measures 12 ft.

The corresponding side to BC in triangle DEF is EF. It measures 4 ft.

That gives us a scale factor from triangle DEF to triangle ABC.

To find the scale factor between two similar polygons, divide the length of a side of the second polygon by the length of the corresponding side of the first polygon.

scale factor = BC/EF = (12 ft)/(4 ft) = 3

The scale factor of side lengths is 3.

The ratio of the areas is the square of the scale factor.

ratio of areas = 3^2 = 9

Now multiply the area of the first triangle (DEF) by the ratio of areas to get the area of the second triangle (ABC).

area of triangle ABC = 9 * (area of triangle DEF)

area of triangle ABC = 9 * (6 sq ft)

area of triangle ABC = 54 sq ft

Answer: 54 ft^2

(54 in green box; 2 in grey box)

compare and contrast perfect squares and imperfect squares. explain your reasoning by talking about square roots and the process of finding perfect square roots and imperfect square roots.

Answers

Answer: perfect squares are the squares of the whole numbers: 1, 4, 9,25,36,49,64,81,100...... For example, 9 is a squared number because it can be written as 3x3. However, imperfect squares are numbers whose square roots contain fractions or decimals. For example square root of 20 = 4 1/2

The square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.

We need to compare and contrast perfect squares and imperfect squares.

Perfect squares: When you multiply an integer by itself, you get a perfect square, which is a positive integer. Perfect squares are sums that are the products of integers multiplied by themselves, to put it simply. A perfect square is typically expressed as x², where x is an integer and x²'s value is a perfect square.

Imperfect squares: Numbers with fractional or decimal square roots are considered imperfect squares.

Therefore, the square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.

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Will give brainliest for answer

Answers

Answer:

  y > -x -3

Step-by-step explanation:

The graph is shaded above the dashed line, indicating y-values in the solution are greater than those on the line, so your inequality will start with ...

  y >

The y-intercept of the line is (0, -3), so the "b" value in ...

  y > mx +b

will be -3.

The line has a rise of -3 for a run of 3 (between the marked points), so the slope is ...

  m = rise/run = -3/3 = -1

Then the inequality you want is ...

  y > -x -3

log(0.5) 256 = x
find value of x​

Answers

Answer:

[tex]=-8[/tex]

Step-by-step explanation:

[tex]\log _{0.5}\left(256\right)=x\\Switch\:sides\\x=\log _{0.5}\left(256\right)\\\mathrm{Rewrite\:}256\mathrm{\:in\:power-base\:form:}\quad 256=2^8\\x=\log _{0.5}\left(2^8\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _{0.5}\left(2^8\right)=8\log _{0.5}\left(2\right)\\x=8\log _{0.5}\left(2\right)\\0.5=2^{-1}\\x=8\log _{2^{-1}}\left(2\right)\\[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _{a^b}\left(x\right)=\frac{1}{b}\log _a\left(x\right),\:\quad \mathrm{\:assuming\:}a\:\ge \:0\\x=8\cdot \frac{1}{-1}\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\x=8\cdot \frac{1}{-1}\\\mathrm{Simplify}\\8\cdot \frac{1}{-1}\\\frac{1}{-1}=-1\\\frac{1}{-1}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{1}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=-1\\=8\left(-1\right)\\[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=-8\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:8\cdot \:1=8\\=-8\\[/tex]

The value of x for the expression is, - 8.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ [tex]log_{0.5} ( 256) = x[/tex]

Now, We can solve the expression by the logarithmic for the value of x as;

⇒ [tex]log_{0.5} ( 256) = x[/tex]

⇒ [tex]x = log_{0.5} ( 256)[/tex]

⇒ [tex]x = log_{0.5} ( 2^8)[/tex]

Apply log rule,

⇒ [tex]x =8 log_{0.5} ( 2)[/tex]

⇒ [tex]x = 8 log_{2^{-1} } ( 2)[/tex]

⇒ [tex]x = 8 *\frac{1}{-1} log_{2 } ( 2)[/tex]

⇒ [tex]x = - 8 log_{2 } ( 2)[/tex]

We know that; [tex]log_{2} 2 = 1\\[/tex]

Hence, We get;

⇒ x = - 8 × 1

⇒ x = - 8

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Work out the circumference of a circle with radius 7.5 cm take pi to be 3.142

Answers

Answer:

47.13

Step-by-step explanation:

The requried circumference of the circle is given as 47.13 cm.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). the equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
The circumference of a circle with a radius of 7.5 cm takes pi to be 3.142 is given as,
Circumference of circle = 2πr
Circumference of circle = 2 × 3.142 × 7.5 = 47.13 cm

Thus, the requried circumference of the circle is given as 47.13 cm.

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In ΔIJK, k = 7.7 cm, i = 3.4 cm and ∠J=30°. Find the length of j, to the nearest 10th of a centimeter.

Answers

Answer:

To the nearest tenth = 10.8cm

Step-by-step explanation:

Using the cosine rule

J² = i² + k² + 2ikcosj

J² = 3.4² + 7.7² + 2(3.4)(7.7) cos 30

J² = 11.56 + 59.29 + 52.36cos30

J² = 11.56 + 59.29 + 52.36(0.8660)

J² = 11.56 + 59.29 + 45.35

J² = 116.2

J=√116.2

J= 10.78 cm

To the nearest tenth = 10.8cm

Answer:

its 5.1

Step-by-step explanation:

\text{S.A.S.}\rightarrow \text{Law of Cosines}

S.A.S.→Law of Cosines

a^2=b^2+c^2-2bc\cos A

a  

2

=b  

2

+c  

2

−2bccosA

From reference sheet.

j^2 = 7.7^2+3.4^2-2(7.7)(3.4)\cos 30

j  

2

=7.7  

2

+3.4  

2

−2(7.7)(3.4)cos30

Plug in values.

j^2 = 59.29+11.56-2(7.7)(3.4)(0.866025)

j  

2

=59.29+11.56−2(7.7)(3.4)(0.866025)

Square and find cosine.

j^2 = 59.29+11.56-45.34509

j  

2

=59.29+11.56−45.34509

Multiply.

j^2 = 25.50491

j  

2

=25.50491

Add.

j=\sqrt{25.50491} \approx5.05 \approx5.1

j=  

25.50491

​  

≈5.05≈5.1

Square root and round.

PLZ HURRY I AM BEING TIMED!!!!! I WILL GIVE BRAINLIEST TO FIRST ANSWER THAT IS APPLICABLE!

When solving the equation, which is the best first step to begin to simplify the equation?


Negative 2 (x + 3) = negative 10

(negative 2) (Negative 2) (x + 3) = negative 10 (negative 2)

Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)

StartFraction negative 2 over 2 EndFraction (x + 3) = StartFraction negative 10 over 2 EndFraction

StartFraction negative 2 over negative 10 EndFraction (x + 3) = StartFraction negative 10 over negative 10 EndFraction

Answers

Answer: /-2

Step-by-step explanation:

no time to explain but it would make sence using pemdas

Answer:

the answer is B

or

Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)

Step-by-step explanation:

now give me my brainly plz

I know I wasn't first but the other guy was wrong

Point R is at (4, 1.5) and Point T is at (4, 2.9) on a coordinate grid. The distance between the two points is ____. (Input numbers and decimal point only, such as 8.2.)

Answers

Answer:

  1.4

Step-by-step explanation:

Both points are on the vertical line x=4, so the distance between them is the difference of their y-coordinates:

  2.9 -1.5 = 1.4

The points are 1.4 units apart.

**10 POINTS PLEASE HELP!!**
A cube is dilated by a factor of 4. By what factor does its volume increase? Complete the explanation of your reasoning.


The volume increases by a factor of ____. When the cube is dilated, each side length is increased by (select), so the volume is increased by (select) the dilation factor.

Answers

Answer:

The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.

Step-by-step explanation:

Let L represents the Length of the cube before it's dilated.

Volume, V1 = Length * Length * Length

Volume, V1 = L * L * L

Volume, V1 = L³

When the cube is dilated by a factor of 4.

The new Length becomes 4L.

The new volume is calculated as thus.

New Volume, V2 = 4L * 4L * 4L

New Volume, V2 = 64L³

Dividing the new volume by the old volume gives the increment factor.

Factor = New Volume ÷ Old Volume

Factor = V2/V1

Factor = 64L³/L³

Factor = 64.

Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.

Filling the gap of the given sentence;

"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"

Gale makes two gallons of a punch solution that contains 25% orange juice. How many gallons of orange juice should gayle add to make the solution 40% orange juice

Answers

Answer:

  0.5 gallons

Step-by-step explanation:

Let x represent the amount of orange juice (in gallons) Gayle must add to the mix. Then the total amount of orange in the mix is ...

  0.25(2) +x = 0.40(2+x)

  0.50 +x = 0.80 +0.40x . . . . eliminate parentheses

  0.60x = 0.30 . . . . . . . . . . . .  subtract 0.50+0.40x

  x = 0.5 . . . . . . . . . . . . . . . . . divide by 0.60

Gayle should add 0.5 gallons of orange juice to make a 40% solution.

According to a recent study, the average woman's leg hair grows an eighth of an inch per month. A new drug company believes that women who daily take its drug will change their leg hair growth. Before putting its product on the market, the company plans on running a test of the effectiveness of the drug.
a. Which null and alternative hypotheses should the company use for this study?

Answers

Answer:

H0: μ = 0.125, Ha: μ ≠ 0.125

Step-by-step explanation:

I got the answer correct on the quiz.

The null and alternative hypotheses should the company use for this study H₀: μ = 0.125 Hₐ: μ > 0.125.

What is Alternate Hypothesis?

An alternate Hypothesis is a statistical experiment that is contradictory to the null hypothesis.

The claim made by the company should be  

Using the company's product will slow down leg growth. According to the study, the average woman's leg hair grows an eighth of an inch per month. So, the company will claim that using its product the average growth will be less than an eighth of an inch per month. Since, the claim contains the word "less than", it will be the alternate hypothesis.

The Null hypothesis, therefore, would be: The average growth is eight of an inch per month.  

Let u represent the growth of hair per month.

The Null and Alternate Hypothesis in symbolic forms would be

Null Hypothesis:

[tex]H_{0} : \mu = 0.125\\[/tex],

Alternate Hypothesis:

[tex]H_{a} : \mu > 0.125[/tex]

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peter surveyed a random sample of adults and a random sample of teenagers about the number of hours that they exercise in a typical week. What comparative inference can Peter make from the data sets?

Answers

Answer:

Step-by-step explanation:

Hello!

Peter is interested in comparing the number of hours adults and teenagers exercise per week, for this selected one random group of adults and a random group of teenagers and surveyed them on their weekly exercise times.

To compare the weekly exercise time of both populations, the best is to use a measure central tendency, so you can compare their positions and see if they are significantly similar or not.

The most common parameters to use for comparing two populations are its population means. So the analysis to do is a two independent sample test.

I hope this helps!

On a coordinate plane, triangle L M N is shown. Point L is at (negative 3, 4), point M is at (negative 3, negative 1), and point N is at (2, negative 1).
What is true about triangle LMN?

Answers

Answer:

A. LM ⊥ MN. D. The triangle is isosceles. E. The triangle is a right triangle.

Step-by-step explanation:

edge 2020 <3

Solve 56 - 10x20 + 8x.
O A. xs-2
O B. X2-2
O c. x52
O D.x22

Answers

I honestly believe it will be letter c

The value of the given equation is 2 and -10.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given is an equation, x²+8x-20 = 0, we need to solve for x,

x²+8x-20 = 0

Solving for x, by using factorization,

x²+8x-20 = 0

Splitting the middle term,

x²+10x-2x-20 = 0

x(x+10)-2(x+10) = 0

(x-2)(x+10) = 0

x = 2 and x = -10

Hence, the value of the given equation is 2 and -10.

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The complete question is attached

when you multiply my digits, the product is 30, but when you add my digits, the sum is a prime number. What number am i?

Answers

Answer:

65

Step-by-step explanation:

6 x 5 = 30

6+ 5 = 11

therefore, the answer is 65

What’s the correct answer for this?

Answers

Answer:

Second option is the correct answer

[tex](x+11)^2+(y+6)^2 = 324[/tex]

Step-by-step explanation:

[tex]x^{2} +12y+22x+y^2-167=0\\x^{2}+22x +y^2 +12y-167=0\\(x^{2}+22x +121)-121 +(y^2 +12y+36)-36-167=0\\(x+11)^2+(y+6)^2-324 = 0\\\huge\red{\boxed{(x+11)^2+(y+6)^2 = 324}}\\[/tex]

Answer:

[tex](x+11)^2+(y+6)^2=324[/tex]

Step-by-step explanation:

[tex]x^2+12y+22x+y^2-167=0\\\mathrm{Circle\:Equation}\\\left(x-a\right)^2+\left(y-b\right)^2=r^2\:\:\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)\\\mathrm{Rewrite}\:x^2+12y+22x+y^2-167=0\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}\\x^2+12y+22x+y^2-167=0\\\mathrm{Move\:the\:loose\:number\:to\:the\:right\:side}\\x^2+22x+y^2+12y=167\\Group\:x-variables\:and\:y-variables\:together\\\left(x^2+22x\right)+\left(y^2+12y\right)=167[/tex]

[tex]\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\left(x^2+22x+121\right)+\left(y^2+12y\right)=167+12\\Convert\:to\:square\:form\\\left(x+11\right)^2+\left(y^2+12y\right)=167+121\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}\\\left(x+11\right)^2+\left(y^2+12y+36\right)=167+121+36\\Convert\:to\:square\:form\\\left(x+11\right)^2+\left(y+6\right)^2=167+121+36\\\mathrm{Refine\:}167+121+36\\\left(x+11\right)^2+\left(y+6\right)^2=324\\Rewrite\:in\:standard\:form[/tex]

[tex]\left(x-\left(-11\right)\right)^2+\left(y-\left(-6\right)\right)^2=18^2\\\mathrm{Therefore\:the\:circle\:properties\:are:}\\\left(a,\:b\right)=\left(-11,\:-6\right),\:r=18[/tex]

The number of visitors to a town increases by 2.5% each year. If the first year the town recorded visitors, there were 575,
which function represents the total number of visitors in terms of the years since they were first counted?​

Answers

Answer:

575(1+2.5)^x

Step-by-step explanation:

X represents the number of years since they were first counted.

Expiration dates that establish the shelf lives of pharmaceutical products are determined from stability data in drug formulation studies. In order to measure the rate of decomposition of a particular drug, it is stored under various conditions of temperature, humidity, light intensity, etc., and assayed for intact drug potency at FDA-recommended time intervals of every three months during the first year. In this example, the assay Y (mg) of a certain 500 mg tablet formulation is determined at time X (months) under ambient storage conditions.

X 0 3 6 9 12
Y 500 490 470 430 350

(a) Graph these data points (xi , yi) in a scatterplot, and calculate the sample correlation coefficient r=Sxy/Sx.Sy. Classify the correlation as positive or negative, and as weak, moderate, or strong.
(b) Determine the equation of the least-squares regression line for these data points, and include a 95% confidence interval for the slope β1.
(c) Sketch a graph of this line on the same set of axes as part (a); also calculate and plot the fitted response values y, and the residuals ei= yi - ŷi, on this graph.
(d) Complete an ANOVA table for this linear regression, including the F-ratio and corresponding p-value.

Answers

Answer:

(a) The correlation is positive

Step-by-step explanation:

Point A is at (6,1) and point C is at (2,-7) find the coordinates of point B on AC such that AB = 1/3BC

Answers

Answer:

  B = (5, -1)

Step-by-step explanation:

We can use the required relation to find an expression for B in terms of the given points.

  AB = (1/3)(BC)

  B -A = (1/3)(C -B)

  B = (1/3)C -(1/3)B +A . . . . . add A

  (4/3)B = (1/3)C +A . . . . . . . add 1/3B

  B = (1/4)C +(3/4)A = (C +3A)/4 . . . . . . multiply by 3/4

  B = ((2, -7) +3(6, 1))/4 = (20/4, -4/4) . . . . . substitute given values

  B = (5, -1)

Answer:

5/-1

tru trust me

Step-by-step explanation:

There are 4 dogs at each corner. They each see three dogs. How many dogs are there?

Answers

Step-by-step explanation:

there are four dogs because each dog at a corner will see the other three dogs at the other corners

What’s the correct answer for this?

Answers

Answer:

The third one.

Step-by-step explanation:

A friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.5. Given that he was at work on time on a particular morning, what is the probability that he drove the small car? (Give the answer to three decimal places.)

Answers

Answer:

The probability that he drove the small car is 0.318.

Step-by-step explanation:

We are given that a friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car.

If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.5.

Let the Probability that he drives the small car = P(S) = [tex]\frac{1}{4}[/tex] = 0.25

Probability that he drives the large car = P(L) = [tex]\frac{3}{4}[/tex] = 0.75

Also, let WT = event that he is at work on time

So, Probability that he is at work on time given that he takes the small car = P(WT / S) = 0.7

Probability that he is at work on time given that he takes the large car = P(WT / L) = 0.5

Now, given that he was at work on time on a particular morning, the probability that he drove the small car is given by = P(S / WT)

We will use the concept of Bayes' Theorem for calculating above probability;

So,    P(S / WT)  =  [tex]\frac{P(S) \times P(WT/S)}{P(S) \times P(WT/S)+P(L) \times P(WT/L)}[/tex]

                          =  [tex]\frac{0.25 \times 0.7}{0.25 \times 0.7+0.75 \times 0.5}[/tex]

                          =  [tex]\frac{0.175}{0.55}[/tex]

                          =  0.318

Hence, the required probability is 0.318.

David saves $25.78 to buy a video game. After he buys the video game, he has $3.04 leftover. How much does David spend on the video game?

Answers

Answer:

i think it is 22.75 dollars

Step-by-step explanation:

A study conducted by Harvard Business School recorded the amount of time CEOs devoted to various activities during the workweek. Meetings were the single largest activity averaging 18 hours per week. Assume that the standard deviation for the time spent in meetings is 5.2 hours. To confirm these results, a random sample of 35 CEOs was selected This sample averaged 16.8 hours per week in meetings. Which of the following statements is correct? A) The interval that contains 95% of the sample means is 16.3 and 19.7 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School. B) The interval that contains 95% of the sample means is 17.1 and 18.9 hours. Because the sample mean is not between these two values, we do not have support for the results of the CEO study by the Harvard Business School C) The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School D) The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we do not have support for the results of the CEO study by the Harvard Business School

Answers

Answer:

The correct option is A

Step-by-step explanation:

From the question we are told that

   The average  number of meetings  hours per week is [tex]\mu= 18 \ hours[/tex]

    The standard deviation is  [tex]\sigma = 5.2 \ hours[/tex]

     The sample size is  n=  35

     The sample average per week is  [tex]p = 16.8 \ hours[/tex]

From each solution statement we can deduce that the confidence level is  

    [tex]t = 95[/tex]%

Thus the significance level is  [tex]\alpha = 0.05[/tex]= 5%

The z value for the significance level is gotten as 1.96 from the z-table

    The confidence level interval for the sample mean is mathematically evaluated as

            [tex]\= x = \mu \pm (1.96 * \frac{\sigma }{\sqrt{n} } )[/tex]

 Sustituting values

           [tex]\= x = 18 \pm (1.96 * \frac{5.2 }{\sqrt{35} } )[/tex]

             [tex]\= x = 18 \pm1.7[/tex]

=>               [tex]18 - 1.7 < \= x < 18 +1.7[/tex]

                  [tex]16.3 < \= x < 19.7[/tex]

(Easy question, plz answer) Roberto made fruit punch. He used 3 quarts of mango juice and 1 pint of pomegranate juice. He used 1 quart more cranberry juice than mango juice, How many cups of fruit punch did Roberto make?

Answers

Answer:

30 cups

Step-by-step explanation:

mango: 16 cups x 3/4 = 12 cups

pomegranate: 1 pint = 2 cups

cranberry: 1 gallon= 16 cups

Cups of fruit punch: 12+2+16= 30

Roberto made 30 cups of Fruit punch

( Hopefully this helped )

Which set of numbers is arranged in increasing order?

Answers

Answer:

Hey mate, I think you forgot to attach photo of sets. Check it.

LOTS OF POINTS PLEASEE HELP

Answers

Answer:

i) x = 0.25 and 1.25

ii) x = -0.5 and 1.5

Step-by-step explanation:

Given that y = 4x² - 4x - 1. So for question 1, you can let y = 0, then see which x-value did the curve touches 0 at y-axis.

Same for question 2.

I) x=0.25 and 1.25
ii) -0.5 and 1.5

Write your question here keep it simple and clear

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

12 + 12 + 18 + 18 = 60

The perimeter is 60 cm

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A surf instructor has an initial fee of $12 and charges $8
per hour for lessons.
Explain how to determine what the y-intercept is and
where it would be located on the graph.

Answers

Answer:

For this case we can define y as the response variable and represent the cost and x the independent variable who represent the hours of lessons. We know that the instructor has an initial fee of 12 and charges 8 per hour. So then we can model the situation with this formula:

[tex] y =mx+b[/tex]

Where m = 8 represent the slope and b =12 the intercept so our model would be:

[tex] y = 8x +12[/tex]

And the y intercept would be at x=0 and y=12 and represent the initial amount of money that we need to pay in order to have the instructor.

Step-by-step explanation:

For this case we can define y as the response variable and represent the cost and x the independent variable who represent the hours of lessons. We know that the instructor has an initial fee of 12 and charges 8 per hour. So then we can model the situation with this formula:

[tex] y =mx+b[/tex]

Where m = 8 represent the slope and b =12 the intercept so our model would be:

[tex] y = 8x +12[/tex]

And the y intercept would be at x=0 and y=12 and represent the initial amount of money that we need to pay in order to have the instructor.

Answer:

y= 8x+12

Explanation:

I have just completed it. Thank me later.

Caleb feeds his puppy 5/8 of a cup at each meal. How many 1/8 cups does he feed his puppy at each meal

Answers

Answer:

[tex] \frac{1}{2} [/tex]

[tex] \\ [/tex]

Step-by-step explanation:

[tex] \frac{5}{8} - \frac{1}{8} \\ = \frac{4}{8} \\ = \frac{1}{2} [/tex]

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