If y varies jointly as x and z and inversely as the square of w, and y =3 when x=3, z=10 and w=2, then y=4 when x=4 z=20 w=4

Answers

Answer 1

Answer:

0.4 ; 0.8

Step-by-step explanation:

Given that :

y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1/w^2

y = kxz/w^2 - - - - (1)

Given that y =3 when x=3, z=10, w=2

Inputting the values into (1)

3 = (k*3*10) / 2^2

3 = 30 × k / 4

k × 30 = 3 × 4

k × 30 = 12

k = 12/30

k = 0.4

B.) Given that ;

y=4 when x=4 z=20 w=4

Input values into (1)

y = kxz/w^2

4 = ( k * 4 * 20) / 4^2

4 = (k * 80) / 16

k * 80 = 16 * 4

k * 80 = 64

k = 64 / 80

k = 0.8

Answer 2

Answer:

False

Step-by-step explanation:

Took the test and got it wrong


Related Questions

If both nappes of a right circular cone are intersected by a plane that does not
pass through the vertex of the cone, the resulting curve will be an)

Answers

Answer:

Hyperbola

Step-by-step explanation:

When the two napes of a cone are intersected by a plane, the resulting curve is that of the two branches of a hyperbola. See attached image.

What is the solution for x in the given equation? sgrt9x+7+sgrt2x=7

Answers

x=2

Hope that helps!
(Please Mark as Brainliest!)

Find the value of y.

Answers

197 degrees because 365 degrees minus “x”=168 equals 197
y is equal to 197 degrees

Solve for x 4x−8=3x−8

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Subtract 3x from both sides

x - 8 = 8

Step 2: Add 8 to both sides

x = 0

Answer:

x = 0

Step-by-step explanation:

1. Get rid of the equal terms

4x = 3x

2. Move the variables to the left side

4x - 3x = 0

3. Collect the like times

4x - 3x = 0

x = 0

Hope this helps!

PLEASE HELP ASAP i don’t have much time.

Answers

Answer:

[tex]x=-3, d=2, e=3[/tex]

Step-by-step explanation:

[tex]\frac{9a^3b^5}{-3ab^2} =\frac{9}{-3} \cdot\frac{a^3}{a} \cdot \frac{b^5}{b^2}[/tex]

Recall how to divide exponents. For instance, [tex]a^3/a^1=a^{3-1}=a^2[/tex].

[tex]=-3a^2b^3[/tex]

Thus, [tex]x=-3, d=2, e=3[/tex]

If f(x)=3x+2, what is f(5)

Answers

Answer:

f(5) = 17

Step-by-step explanation:

f(x)=3x+2

To find f (5) replace every x in f(x) by 5

That's

f(5) = 3(5) + 2

= 15 + 2

= 17

Hope this helps you

(03.02 MC) Some researchers claim there is an association between getting a tattoo and contracting hepatitis C. They took a random sample of people living in Los Angeles, California, and recorded whether they had a tattoo and whether they were infected with hepatitis C. The results are shown in the following two-way table: Has Hepatitis C Does Not Have Hepatitis C Does not have a tattoo 5 50 Has one tattoo 10 210 Has more than one tattoo 15 150 If a person is chosen at random, what is the probability that he or she has hepatitis C, given that he or she has one tattoo? (2 points) Select one: a. 0.045 b. 0.333 c. 0.05 d. 0.50

Answers

Answer:

The correct option is (b) 0.333.

Step-by-step explanation:

The data provided is as follows:

                        Hepatitis C           No hepatitis C           Total

No Tattoos              5                             50                        55

 1 Tattoo                 10                           210                      220

> 1 Tattoo                15                           150                       165

   Total                   30                           410                       440

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

The condition probability of an event A provided that another event X has already occurred is:

[tex]P(A|X)=\frac{P(A\cap X)}{P(X)}[/tex]

The number of people who has hepatitis C is:

n (Hepatitis C) = 30

The number of people who has hepatitis C and one tattoo is:

n (Hepatitis C and 1 Tattoo) = 10

Compute the probability that he or she has hepatitis C, given that he or she has one tattoo as follows:

[tex]P(\text{Hepatitis C} |\text{1 Tattoo})=\frac{n(\text{Hepatitis C and 1 Tattoo})}{n(\text{1 Tattoo})}[/tex]

                                       [tex]=\frac{10}{30}\\\\=\frac{1}{3}\\\\=0.333[/tex]

Thus, the correct option is (b).

The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The table is given below.

                       Hepatitis C           No hepatitis C           Total

No Tattoos              5                             50                        55

1 Tattoo                 10                           210                      220

> 1 Tattoo                15                           150                       165

  Total                   30                           410                       440

The number of people who has hepatitis C is 30. And the number of people who has hepatitis C and one tattoo is 10.

The probability that he or she has hepatitis C, given that he or she has one tattoo will be

P = 10/30

P = 1/3

P = 0.333

The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

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El área de un decágono regular cuya apotema mide 5,08 cm y la longitud de su lado es 3,3 cm.

Answers

Answer:

83.82 cm^2

Step-by-step explanation:

Aquí, queremos calcular el área de un decágono dada su apotema y la longitud de su lado.

Matemáticamente;

Área de decágono = 1/2 * perímetro * apotema

Donde perímetro = 10 * s

donde s es la longitud de los lados

Entonces el área aquí sería; 1/2 * 10 (3.3) * 5.08 = 83.82 cm ^ 2

(06.01, 06.02 HC) I WILL MARK YOU BRAINIEST Part A: Create a fourth-degree polynomial in standard form. How do you know it is in standard form? (5 points) Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points)

Answers

Part A:

A fourth-degree polynomial in standard form is :

To write a polynomial in a standard form you have to set its terms according to the variable powers in a descending order.

       In this example it would give:

      −6[tex]x^{4}[/tex]+3[tex]x^{2}[/tex]+4x +2

The degree of a polynomial is the maximum power of an unknown variable in the polynomial.

Part B:

The closure property as it relates to polynomials are :

Polynomials are closed for addition and subtraction. This is because the power does not change. Only the coefficients are changed.

This is illustrated by the examples below:

       (2x2 + 3x + 4) + (x2 - 5x - 3)

        3x2 - 2x + 1.

The above operation does not change  the degree. Only the number next to each variable changes.

Therefore, the addition and subtraction of polynomials is closed.

Know more about polynomials:

https://brainly.com/question/16059429?referrer=searchResults

Select the interval where h(x)>0 {where h of x is greater than 0}
Option1. -3.5 Option2. -2 Option3. 2.5

Answers

Answer:

The correct option is;

Option 3. 2.5

Step-by-step explanation:

From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;

The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8

The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7

The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5

Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.

Answer:

Option 3. 2.5

Step-by-step explanation:

33°
87°
х
у
y = [ ? 10
Enter

Answers

Answer:

x= 60° y= 120°

Step-by-step explanation:

The sum of the sizes of a triangle's angles equals 180°

x+87+33= 180 x+120 = 180 x= 180-120x = 60°

y+x = 180 ⇒ y = 180-x = 180-60= 120

Answer:

y = 120

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

y = 33+87

y = 120

the qestion is the picture ​

Answers

Answer:

-2/9

Step-by-step explanation:

Answer:

the answer is C. - 2/9!!!!!!

Step-by-step explanation:

In a division equation, quotient is the answer derived after dividing the dividend by the divisor. To continue with our sample word problem, all we need to do to find the quotient of the division word problem, is to divide the dividend by the divisor sooo we just Divide: -2 / 9 = -0.222222222222 = -2/9! the answer is going to be C.!

hope this helped!

Evaluate the Following

Answers

Answer:

see explanation

Step-by-step explanation:

cscΘ = [tex]\frac{hypotenuse}{opposite}[/tex] = [tex]\frac{25}{7}[/tex]

secΘ = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{25}{24}[/tex]

cotΘ = [tex]\frac{adjacent}{opposite}[/tex] = [tex]\frac{24}{7}[/tex]

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 3 (5 points)

Answers

Answer:

x=-1 1/2,x=-1.5

Step-by-step explanation: x=-3/2

simplify 5x5^2 leaving your answer in index form

Answers

Answer:

5 power 3

Step-by-step explanation:

the answer of 5 power 2 is 25,multiply by 5 to get 125,make 5 the base to get your answer

Answer:

5^3

Step-by-step explanation:

5x5^2= 25x5=125

Now that is equivalent to 5^3

5x5x5=125

I need help! Thx :) 6th grade

Answers

Answer:

0.92

Step-by-step explanation:

To write a percent as a decimal, we divide the value by 100.

Divide 92 by 100.

[tex]\frac{92}{100}[/tex]

[tex]=0.92[/tex]

Answer:

0.92

Step-by-step explanation:

92/100=0.92

Fraction- 92/100 — 46/50 — 23/25

Translate into an algebraic expressions: 120 is increased by d% and increased by 25% . What is the result ?

Answers

Answer:

The result is 150 + 1.5d

Step-by-step explanation:

We want to translate the wordings into algebraic expression.

Firstly, we increase 120 by d%

d% = d/100

So increasing 120 by d % means;

120 + (d/100 * 120)

= 120 + 1.2d

Then increase this by 25%

= (120 + 1.2d) + 25/100(120 + 1.2d)

= 120 + 1.2d + (120+1.2d)/4

= 120 + 1.2d + 30 + 0.3d

= 120 + 30 + 1.2d + 0.3d

= 150 + 1.5d

A chord cuts off a 120 degree arc. If the radius of the circle is 26 inches, find the
chord length

Answers

Answer:

26sqrt(3)

Step-by-step explanation:

You end up with two 30-60-90 triangles.

26/2 = 13

2 * 13 * sqrt(3) = 26sqrt(3)

Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?

Answers

Answer:

$10.67

Step-by-step explanation:

Jennifer has a total amount of $80 to buy what she needs

1/5 of the money is spent on sandwich

= 1/5×80

= $16

The amount spent on sandwich is $16

1/6 of the money is spent on tickets to a museum

= 1/6×80

= 0.166×80

= $13.33

The amount spent on tickets is $13.33

1/2 of the money is spent on a book

= 1/2×80

= 0.5×80

= $40

The amount spent on a book is $40

Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend

= $80-$16+$13.33+$40

= $80-$69.33

= $10.67

Hence the amount of money left on Jennifer is $10.67

14 + 18 divided by 2 * 18
Is the answer 86 or no?

Answers

Answer:

No.

Step-by-step explanation:

Order of Operations using BPEMDAS:

14 + 18/2(18)

14 + 9(18)

14 + 162

176

please help i will give out brainliest

Answers

Answer:

6, 0, 10

b

Step-by-step explanation:

PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!!!! 5 stars and a thanks!!!! 50 POINTS!!! Type out how you would explain the color blue to a blind person. The blind person has been blind ever since he was born. This is a real challenge question.

Answers

Answer:

As color is simply the kind of light reflected by surfaces(if the sun was green, many plants would die), color can be explained fairly simply to a blind person.  Each color represents a separate wavelength, and objects that reflect these wavelengths show up in various colors.  Thus simply state the following: The color blue is displayed by all objects that reflect wavelengths from 380 and 500 nanometers.

Hope it helps <3

p.s. I know this is supposed to be kind of philosophical, but I'm a nerd, so...

The child has been diagnosed with rickets. The child’s mother is educated about the importance of providing the child with 10 micrograms (400 International Units) of an oral vitamin D supplement each day. The child’s mother purchases over-the-counter vitamin D drops. The supplement is noted to contain 5 mcg of vitamin D in each 0.5 mL. How much of the supplement should the mother administer to the child each day? Record your answer using one decimal place.

Answers

Answer:

1.0 mL each day

Step-by-step explanation:

The required daily dosage of vitamin D is 10 micrograms.

The supplement contains 5 micrograms per 0.5mL.

The volume of supplement necessary to fulfill the daily requirements of vitamin D is:

[tex]V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL[/tex]

She should administer 1.0 mL of the supplement each day.

How many times greater is 700,000 than 70,000??

Answers

Answer:

10 times greater hun

Step-by-step explanation:

70000 times 10 equals 700000

Answer:

10 times greater.

Step-by-step explanation:

700,000 / 70,000 = 700 / 70 = 70 / 7 = 10 / 1 = 10

So, 700,000 is 10 times greater than 70,000.

Hope this helps!

The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g

Answers

The equation for constant proportionality is:

a = k • b where k is the constant

Since we are given the letter variables, replace a and b.

p = k • m

Part (a)

We know p = 55 cents when m = 220g, insert those values in equation:

55 = k • 220

55/220 = k

k = 1/4

Therefore, equation connecting p and m is:

p = 1/4 • m

Part (b)

We know p = 540 and we know k ( constant term )

540 = 1/4 • m

540 x 4 = m

m = 2160g

Part (c)

We know m = 115g, k is constant and therefore remains 1/4

p = 1/4 x 115g = 28.75 cents

~Hoodini, hope this helps.

el perimetro de un terreno rectangular es de 170m y su area es de 170^2hallar la medida de sus lados con ecuacion cuadratica

Answers

Answer:

Acá tenemos un sistema de ecuaciones.

El perímetro de un rectángulo es:

2*A + 2*L = 170m

donde A es el ancho y L es el largo.

Y el área del rectángulo es:

A*L = 170m^2.

Entonces, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la segunda:

A = 170m^2/L.

Ahora reemplazo eso en la primera ecuación y la resuelvo para L.

2*( 170m^2/L.) + 2*L = 170m.

340m^2 + 2*L^2 = 170m*L

ahora tenemos una ecuación cuadrática:

2*L^2 - 170m*L + 340m^2 = 0.

Las soluciones se pueden obtener usando la formula de Bhaskara:

[tex]L = \frac{+170 +- \sqrt{170^2 -4*340*2} }{2*2} = \frac{170 +-161.8}{4}[/tex]

Entonces las soluciones son:

L = (170 + 161.8)/4 = 82.95m

L = (170 - 161.8)/4 = 4.1m

Entonces, si tomamos L = 82.95m, tenemos A = 4.1 m

y el área es:

A*L = 4.1m*82.95m = 170m^2

The total global area of crops has increased from 44.2 million to
181.5 million
hectares between 2000 and 2014. Calculate the percentage increase Round this up to the
next whole number.

Answers

Answer:

  311%

Step-by-step explanation:

The percentage change is calculated as ...

  percent change = ((new value) -(old value))/(old value) × 100%

Filling in the numbers, we have ...

  percent change = (181.5 -44.2)/44.2 × 100% ≈ 311%

The global area increased by 311% over the interval.

At the beginning of year 1, Josie invests $400 at an annual compound interest rate of 5%. She makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 3?
A. A(3) = 400 • (1 + 0.05)3 – 1
B. A(3) = 400 + (3 – 1)(0.05 • 400)
C. A(3) = 400 + (0.05 • 400)3 – 1
D. A(3) = 400 • (1 + 0.05)3

Answers

Answer: A

Step-by-step explanation:

Since she invested $400 in the beginning if the 1st year and we are asked to find the balance at the beginning of the third year, she earns interest only for the first two years. So, the formula will be

Amount = 400 (1 + 0.05) ^3-1

To find the balance in Josie's account at the beginning of the the third year we have to use A(3)=[tex]400*(1+0.05)^{3-1}[/tex]

What is Compound interest?

It is the interest calculated on the initial principal amount and the accumulated interest. The formula to calculate the sum after compound interest is

Sum= [tex]P(1+r/m)^{tm}[/tex] where P=principal, r= rate of interest, m= number of times compounded in a year, t=time

How to calculate sum when interest is compounding?

At the beginning of year 1, Josie invests $400 at an annual compound interest at the rate of 5%,then the amount at the beginning of year 3 is calculated as:

The amount in beginning of 1 year=$400

The amount at the end of the year 1=400+400*0.05=400(1+0.05)

The amount at the end of year 2=400(1+0.05)+400(1+0.05)*0.05

=[tex]400(1+0.05)^{2}[/tex]

=[tex]400(1+0.05)^{3-1}[/tex]

Hence the option A is correct which is to be used to calculate the amount in Josie's account at the beginning of year 3.

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need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX

Answers

Answer:

36PI

113.04

Step-by-step explanation:

4/3*PI*R^3=V

4/3*PI*27=V

36*PI=V

113.04

BRAINLIEST PLS

              -ZYLYNN JADE

Answer:

113.10 (to the nearest hundredth)

Step-by-step explanation:

just google volume of a sphere

find the y-intercept of the function: f(×)=(×+10)/(×-5)​

Answers

Answer:

(-10,0)

Step-by-step explanation:

Hello

this is (-10,0) point

because f(-10)=0

hope this helps

the y intercept is (0,-2) and the x intercept is (-10,0)
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