Need help on this problem

Need Help On This Problem

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]2(x-2)^2=8(7+y)\\2(x-2)^2=56+8y \Rightarrow y={1\over{8}}[2(x-2)^2-56]={1\over{4}}(x-2)^2-7\\finally\\y={1\over{4}}(x-2)^2-7\\let ~change~x~and~y\\x={1\over{4}}(y-2)^2-7\\x+7={1\over{4}}(y-2)^2\\4(x+7)=(y-2)^2\\y-2=\pm\sqrt{4(x+7)}\\\\y=2\pm\sqrt{4x+28}[/tex]


Related Questions

A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 30 yd and is 5.1 feet deep. Find the cost for filling the pool if the city charges $1.50 per 1000 gallons. Use the conversion 1 gallon

Answers

Answer:

the cost of filling the pool is $386.3

Step-by-step explanation:

Given;

dimension of the rectangular pool, = 25 yd by 30 yd by 5.1 ft

covert the given dimensions to feet;

1 yd = 3 ft

25 yd = 25 x 3 ft = 75 ft

30 yd = 30 x 3 ft = 90 ft

The volume of the rectangular pool in cubic feet (ft³);

Volume = 75 ft  x 90 ft  x 5.1 ft

Volume = 34,425 ft³

Convert the volume to gallons;

1 ft³ = 7.481 gallons

10,125 ft³ = 34,425 x 7.481 gallons

               = 257,533.425 gallons

The cost per a 1000 gallons is $1.50, then cost of the 257,533.425 gallons is calculated as;

[tex]cost = \frac{\$ 1.50}{1000 \ gallons} \times 257,533.425 \ gallons = \$ 386.3[/tex]

Therefore, the cost of filling the pool is $386.3

Use the distributive property to find the product of the rational number.
5/2 (- 8/5 + 7/5)

Answers

9514 1404 393

Answer:

  -1/2

Step-by-step explanation:

The factor outside parentheses multiplies each term inside.

  5/2(-8/5 +7/5)

  = (5/2)(-8/5) +(5/2)(7/5)

  = -8/2 +7/2 = -1/2

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩:

Answers

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

On its own, this vector points to a single point in space, (-3, -4, -5).

Multiply this vector by some scalar t to get a whole set of vectors, essentially stretching or contracting the vector ⟨-3, -4, -5⟩. This set is a line through the origin.

Now translate this set of vectors by adding to it the vector ⟨-2, -4, 0⟩, which correspond to the given point.

Then the equation for this new line is simply

L(t) = ⟨-3, -4, -5⟩t + ⟨-2, -4, 0⟩ = ⟨-2 - 3t, -4 - 4t, -5t

The vector parametric equation for the line through the point is [tex]r = (-2, \ -4, \ 0) +(-3, \ -4, \ -5)t\\\\[/tex].

Given

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩.

What is a parametric equation vector?

Parametric equations of the line segment are defined by its endpoints.

To find the vector equation of the line segment, we’ll convert its endpoints to their vector equivalents.

Two lines are parallel if they have the same direction, and in the parametric form, the direction of a line is always the vector of constants that multiply t (or the parameter).

The vector equation of a line is given by:

[tex]\rm v = r_0+tv[/tex]

Where v is the direction vector and [tex]\rm r_0[/tex] is a point of the line.

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

Here,

[tex]\rm r_0 = (-2,-4,0) \ and \ v=(-3, \ -4, \ -5)t\\\\[/tex]

Then,

[tex]r = (-2, \ -4, \ 0) +(-3, \ -4, \ -5)t\\\\[/tex]

x = -2-3t, y = -4-4t, and z = 0-5t

To know more about the Parametric equation click the link given below.

https://brainly.com/question/14701215

Help me with this please

Answers

9514 1404 393

Answer:

   B.  √6

Step-by-step explanation:

The circles are not tangent to one another. If they were, the distance between their centers would be the sum of their radii: 1 +1 = 2.

__

The center of the first circle is (√3, √3), and the center of the second is the origin. The distance between these two centers is given by the distance formula:

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((√3 -0)^2 +(√3 -0)^2) = √(3+3) = √6 . . . . matches choice B

Please answer ASAP!!!!

Answers

Answer:

0

Step-by-step explanation:

0

HELP I NEED TO FIND THE COORDINATES OF THE POINTS

Answers

Answer:

The coordinate of any given point can be written as (x, y), where x is the x coordinate, and y is the y coordinate.

For example, point A has an x coordinate (horizontal) of 5, and a y coordinate (vertical) of 6. So the ordered pair is (5, 6).

Similarly, for the rest we have:

B: (-5,5)

C: (-2,3)

D: (-2,-2)

E: (3,-4)

F: (3,-6)

[tex]\sqrt{25}[/tex]=?

Answers

[tex]Hello[/tex] [tex]There[/tex]

The answer is...

[tex]5.[/tex]

[tex]HopeThisHelps!![/tex]

[tex]AnimeVines[/tex]

Hi the answer is 5 to this problem
Hope it helps.

In an accelerated failure test, components are operated under extreme conditions so that a substantial number will fail in a rather short time. In such a test involving two types of microchips, 580 chips manufactured by an existing process were tested, and 125 of them failed. Then, 780 chips manufactured by a new process were tested, and 130 of them failed. Find a 90% confidence interval for the difference between the proportions of failures for chips manufactured by the two processes. (Round the final answers to four decimal places.) The 90% confidence interval is

Answers

Answer:

The 90% confidence interval is (0.0131, 0.0845).

Step-by-step explanation:

Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Old process:

125 out of 580, so:

[tex]p_O = \frac{125}{580} = 0.2155[/tex]

[tex]s_O = \sqrt{\frac{0.2155*0.7845}{580}} = 0.0171[/tex]

New process:

130 out of 780. So

[tex]p_N = \frac{130}{780} = 0.1667[/tex]

[tex]s_N = \sqrt{\frac{0.1667*0.8333}{780}} = 0.0133[/tex]

Distribution of the difference:

[tex]p = p_O - p_N = 0.2155 - 0.1667 = 0.0488[/tex]

[tex]s = \sqrt{s_O^2+s_N^2} = \sqrt{0.0171^2 + 0.0133^2} = 0.0217[/tex]

Confidence interval:

[tex]p \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower bound of the interval is:

[tex]p - zs = 0.0488 - 1.645*0.0217 = 0.0131[/tex]

The upper bound of the interval is:

[tex]p + zs = 0.0488 + 1.645*0.0217 = 0.0845[/tex]

The 90% confidence interval is (0.0131, 0.0845).

2. What amount of money must Kurt Blixen invest at 4.75% to have it earn $10,000 in 90 days?

Answers

Kurt Blixen must invest $85,2296.94.

Given the following data;

Interest rate = 4.75%Simple interest = $10,000Time = 90 days

To find how much money Kurt Blixen must invest;

Mathematically, simple interest is given by the formula;

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.

First of all, we would convert the time in days to years.

Conversion:

365 days = 1 year

90 days = x year

Cross-multiplying, we have;

[tex]365 * x = 90\\\\x = \frac{90}{365}[/tex]

x = 0.247 year

Making P the subject of formula;

[tex]P = \frac{S.I(100)}{RT}[/tex]

Substituting the values into the formula, we have;

[tex]P = \frac{10000(100)}{4.75*0.247}\\\\P = \frac{1000000}{1.1733}[/tex]

P = $85,2296.94

Therefore, Kurt Blixen must invest $85,2296.94.

Find more information here; https://brainly.com/question/9352088

Hey good morning I need help ASAP thank you guys

Answers

Answer:

B. x = 2.77

Step-by-step explanation:

3^x = 21

You first look for a base for 21 that is 3 to the power of something.

21 = 3^2.77

So 3^x = 2^2.77

They have the same base so

x= 2.77

Mary spent $4 more than 1/8 of her original amount of money on a bag. She then
Spent $12 more than 2/3 of her remaining money on groceries.Given that Mary had $24 left,how much did the bag cost?

Answers

Answer:

464 $

Step-by-step explanation:

find the number of permutations that can be formed from all letters in the word connecticut

Answers

Connecticut as a permutation, 1 example would be c1,o,n1,n2,e,c2,t1,I,c3,u,t2. 10 items can form 10! permutations. Considering c1=c2=c3, n1=n2, t1=t2, let’s look at the c all equal condition: 3cs existing one in front of or behind another may form c1, c2, c3; c1, c3, c2; c2,c1,c3… totally 6 different ôkkkiojobvarieties

Solve the word problems. The price of a bed was $2600. MDM Yap bought the bed and had to pay an additional 7% GST. (a) What was the amount of GST she had to pay? (b) What was the price of the bed including GST?​

Answers

Answer:

Step-by-step explanation:

Instructions: The polygons in each pair are similar. Find the
missing side length.

Answers

Answer:

45/27=30/18=x/24

x = 30×24/18

or, x = 40

Answer:

? = 40

Step-by-step explanation:

Since the polygons are similar then the corresponding sides are in proportion, that is

[tex]\frac{?}{24}[/tex] = [tex]\frac{?}{24}[/tex] = [tex]\frac{30}{18}[/tex] ( cross- multiply )

18 ? = 720 ( divide both sides by 18 )

? = 40

How many numbers multiple of 3 are in the range [2,2000]?

Answers

Answer: so there are 666 multiples of 3 between 2 and 2000.

Step-by-step explanation:

the smallest number = 3 which is 3*1. The largest number is = 1998 = 3*666

multiples of 3 between {2,2000} = 666-1+1 = 666

Sharla invests $275 in a simple interest bearing account for 16 years. The annual interest rate is 8%. Using the simple
interest formula, / -Prt, how much interest will Sharla's initial investment earn over the 16 year period?
$297
$319
$352
$627

Answers

Answer:

352

Step-by-step explanation:

I = PRT  where P is the principle, I is the interest rate, T is the time

I = 275 ( .08) ( 16)

I = 352

log_c(A)=2
log_c(B)=5,
solve log_c(A^5B^3)

Answers

We know that [tex]\log_a(bc)=\log_a(b)+\log_a(c)[/tex].

Using this rule,

[tex]\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)[/tex].

We also know that [tex]\log_c(a^b)=b\log_c(a)[/tex].

Using this rule,

[tex]\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)[/tex]

Now we know that [tex]\log_c(A)=2,\log_c(B)=5[/tex] so,

[tex]5\cdot2+3\cdot5=10+15=\boxed{25}[/tex].

Hope this helps :)

Solve this inequality:
-9 > 3b + 6

Answers

Answer:

- 5 > b

Step-by-step explanation:

- 9 > 3b + 6

- 9 - 6 > 3b

- 15 > 3b

Divide 3 on both sides,

- 5 > b

Answer:

-5 >b

Step-by-step explanation:

-9 > 3b + 6

Subtract 6 from each side

-9-6 > 3b + 6-6

-15 > 3b

Divide each side by 3

-15/3 > 3b/3

-5 >b

Help please ……………….zzzz

Answers

1) I think 15 choose (d)

2) The choose (C) -4fg+4g

3) The choose (d) 3xy/2

4) The choose (a) ab/6

5) The choose (C) 2p+4q-6

6)

[tex]\pi {r}^{2} h = 3.14 \times {3}^{2} \times 1.5 = 42.39 {m}^{3} = 42.390 {m}^{3} [/tex]

Point 6 I think there is an error because the unit m must be m³ because it is r² (m²) and h(m) becomes m³.

I hope I helped you^_^

i nedd help due today plzzzz answer fast

Answers

Answer:

Option A, m⁴/n²

Multiply the exponent 6 with the exponents of m and n

Find the missing side of the triangle

Answers

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Pytago:

[tex]2^2 + 4^2 = x^2\\x = \sqrt{2^2 + 4^2} \\x = 2\sqrt{5}[/tex]

Answer:

4.47

Step-by-step explanation:

x²= 2² + 4²

x² = 4 + 16

x²= 20

x = √20

x= 4.47

Determine the degree of the term 2^3x2yz4

Answers

Answer:

7

Step-by-step explanation:

It looks like the term is [tex]2^3}x^2}yz^4[/tex]

First simplify

[tex]8x^2}yz^4[/tex]

[y has an exponent of 1 btw]

Then to find the degree of a term, just add up the values of all the exponents

2+1+4=7

I hope this helps!

If Logx (1 / 8) = - 3 / 2, then x is equal to what?​

Answers

Answer:

Logx(1/8) = -3/2

x = 4

Answered by GAUTHMATH

Solve each equation for the specified variable

Answers

Answer: Solve for the specified variables

Step-by-step explanation:

1. w= A/l

2. d=C/pi

3. s=v-gt

4. y= 5/2x-11/2

5. P^2= P^1V^1 / P^2 Put ^ as lowercase as shown, can't find symbol on my keboard T.T

6. W= Ke2g / V^2

7. h= V / 2/3 pi r^2

8. n=2S/a+k

9. S=A/pi r - r (not 100% sure on that one)

10. r= E/I-R

11. h= E-1/2mv^2/mg

12. a=K+5b/b+3

13. c=ab/b+a

Wooh, finally finished all that. Hope I didn't make any mistakes. Have a great day!

Researchers wanting to assess skin irritation associated with a new sunscreen developed for those with photosensitivity. They randomly sample 240 men with a history of photosensitivity and 240 men without a history of photosensitivity and ask them to apply the cream and report the level of skin irritation they experience after spending 20 minutes in the sun using a scale of 0-10. The average skin irritation score for the group with a history photosensitivity was 1.2 and the average skin irritation score for the group without a history of photosensitivity was 1.4. The Levene's test for equality of variances had a p value of 0.08. You know this means:
A. The researchers should report the t test results assuming equal variances. Select The researchers should report the t test results NOT assuming equal variances. as your answer
B. The researchers should report the t test results NOT assuming equal variances.
C. The researchers should reject the null hypothesis and report there is a difference in the average skin irritation score.
D. The researchers should fail to reject the null hypothesis and conclude there is NOT a difference in the average skin irritation score.

Answers

Answer:

Blablabka

Step-by-step explanation:

Blablabla

If sin(x) = 1 and cos(x) = 0, what is cot(x)?

0

1

undefined

Answers

Answer:

It's 0

Edge said it's 0

The value of the ratio of the cos(x) and the sin(x) is 0.

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of the lengths of its sides. These ratios are fundamental in trigonometry and have applications in various fields, such as physics, engineering, and navigation.

Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and triangles. It explores the ratios between the sides of a triangle and the angles within that triangle. The word "trigonometry" is derived from two Greek words: "trigonal," meaning "triangle," and "metron," meaning "measure."

The value of the sin(x) is 1. The value of cos(x) is 0.

The formula for the cot(x) is written below:

cot(x) = cos(x) / sin(x)

cot(x) = 0 / 1

cot(x) = 0

To know more about trigonometry follow

https://brainly.com/question/28973332

#SPJ2

Evaluate the expression when x = 12/7
The value of the expression when x equals is ???
PLEASE HELP!!

Answers

Answer:

82

Step-by-step explanation:

1/3( x+9/7) + 3^4

Let x = 12/7

1/3( 12/7+9/7) + 3^4

PEMDAS says parentheses first

1/3( 21/7) + 3^4

1/3(3) +3^4

Then exponents

1/3(3)+81

Then multiply

1+81

82

This graph describes which of the expressions given?

Answers

The answer is c
Hope this helps!

solve for x . please help also don’t forget to show work

Answers

Answer:

X-4x+11=8

-3x+12-8=0

-3x+4=0

3x=4

X=4/3

Answer:

x = 4/3 or 1.3

Step-by-step explanation:

Combine like terms

8 = -3x + 12

Move the terms

3x = 12 - 8

Calculate

3x = 4

Divide both sides by 3

x = 4/3

or

x = 1.3

7) Ten times the sum of -150 and a number yields -110.​

Answers

Answer:

the answer to that is 10(N+14)=9N

Let the number = x

Set up an equation:

10(-150 + x ) = -110

Simplify:

-1500 + 10x = -110

Add 1500 to both sides

10x = 1390

Divide both sides by 10

X = 139

The number is 139

Other Questions
Forrester Company is considering buying new equipment that would increase monthly fixed costs from $396,000 to $684,000 and would decrease the current variable costs of $80 by $20 per unit. The selling price of $120 is not expected to change. Forrester's current break-even sales are $1,188,000 and current break-even units are 9,900. If Forrester purchases this new equipment, the revised contribution margin ratio would be: Find the coordinates of the vertices of the figure after the given transformation: T A. X(1,1),L(0,2),W(2,1)B. X(4,2),L(5,5),W(3,4)C. X(3,2),L(2,5),W(4,4)D. X(0,3),L(1,0),W(1,1) Find the distance on the number line between 14.3 and 4.1. Test Question just answer random. the graph of f(x)=6(.25)^x and its reflection across the y-axis , g(x), are shown. what is the domain of g(x) Diagram that shows 8/10 and 4/5 are equal what are the first steps to start business find the product of 853(-125) by using suitable property i need alot of help in this which element is the most important element of our society why can man alter mars environtment to make it more suitable for human habitation?how?need aswer ASAP describe about your family Create union floatingPoint with members float f, double d and long double x. Write a program that inputs values of type float, double and long double and stores the values in union variables of type union floatingPoint. Each union variable should be printed as a float, a double and a long double. Do the values always print correcly? Note The long double result will vary depending on the system (Windows, Linux, MAC) you use. So do not be concern if you are not getting the correct answer. Input must be same for all cases for comparison Enter data for type float:234.567 Breakdown of the element in the union float 234.567001 double 0.00000O long double 0.G0OO00 Breaklo n 1n heX float e000000O double 436a9127 long double 22fde0 Enter data for type double :234.567 Breakdown of the element in the union float -788598326743269380.00OGOO double 234.567000 long double 0.G00000 Breakolon 1n heX float 0 double dd2f1aa0 long double 22fde0 Enter data for type long double: cise A. Very short answer questions. 1. What is a society The black graph is the graph ofy = f(x). Choose the equation for thered graph.a. y = f(x + 3)b. y = f(x 3)c. y + 3 = f(x)d. y - 3 = f(x) Why would an increase in energy costs reduce aggregate supply?Select one:a. consumers are more willing to buy goodsb. the cost of production increasesc. the cost of production decreasesd. budget surpluses usually occur then Help me out with this question linked below. The poet presents the lotus as the most beautiful flower.True or False Stephanie, a recent victim of sexual assault, has been meeting with a victim advocate who is helping her work through the different phases most victims experience after their victimization. At this time, Stephanie feels like she is moving forward. Although she has suffered from minor posttraumatic stress disorder (PTSD),she is able to get through these setbacks quickly. She has returned to school and started working again. The phase that Stephanie is going through is the ________ phase. Aidan has four cards with +, -, x, printed on them. He inserts them between the five numbers 5, 4, 3, 2 and 1 to form the expression 5 + 4 x 3 -2 , which the value 15.Emma says:"Aidan put the operation in the order +, -, x, .If I place the operation cards in a different order between the number 5, 4, 3, 2, 1. I can make the value equal to 19."Which operation would Emma do first?