If z varies jointly as x and y and inversely as w^2?, and
z = 72 when x = 80, y = 30 and
w=5, then find z when x = 20, y = 60 and w=9.

Answers

Answer 1

Answer:

Step-by-step explanation:

z = (k*x*y) / w²

Where,

k = constant of proportionality

z = 72 when x = 80, y = 30 and w = 5

z = (k*x*y) / w²

72 = (k * 80 * 30) / 5²

72 = 2400k / 25

Cross product

72 * 25 = 2400k

1800 = 2,400k

k = 2,400/1800

k = 24/18

= 4/3

k = 1 1/3

k = 1.33

find z when x = 20, y = 60 and w=9

z = (k*x*y) / w²

z = (1.33 * 20 * 60) / 9²

z = (1596) / 81

Cross product

81z = 1596

z = 1596/81

z = 19.703703703703

Approximately,

z = 19.7


Related Questions

Still struggling with this.

Answers

Answer:

22

Step-by-step explanation:

You add up the value of each X and you get a final answer of 22. Have a great day!

2
Solve the equation log, (3t+9) - log, 21 =1

Answers

Answer:

67

Step-by-step explanation:

log(3t+9)-log21 = 1

Applying, the law of logarithm,

log(3t+9)/21 = 1

converting the log into index

(3t+9)/21 = 10

solving for t

3t+9 = 21×10

3t+9 = 210

3t = 210-9

3t = 201

t = 201/3

t = 67

Represent pictorially:

3x2/6 = 6/6 or = 1​

Answers

Answer:

yes is correct 6/6 = 1 / 3*2=6 =1

Answer:

nonsense. what's the difference between 6/6 or 1 .

Find QR
PQ= 3
QR= 2x+22
PR= x+17

Answers

He is the answer because if u divide 12 by 8 u get

Cutting of 11.25 by 15

Answers

Answer:

it may be 0.75 i am not sure

Answer:

answer will be 0.75

11.25÷15=0.75

simplify 18÷3x2+1 please

Answers

Answer:

the answer is gonna be

6x^2+1

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[tex]\large\textsf{18 }\div\large\textsf{ 3 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{18 }\div\large\textsf{ 3 = \bf 6}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 = \bf 12}\\\\\\\large\textsf{12 + 1}\\\\\\\large\textsf{= \bf 13}\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Or you could if your equation is: }\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}[/tex]

[tex]\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ = \bf 6x}\mathsf{\bf ^2}\\\\\large\textsf{= \bf 6x}\mathsf{\bf ^2 \ + }\large\textsf{ \bf 1}\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6x}\mathsf{\bf ^2}\large\textsf{ \bf + 1}}}\huge\checkmark[/tex]

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were 4605 no votes, what was the total number of votes?

I need it by tonight for a pop quiz tomorrow

Answers

Answer:

Try to do it yourself, since you have a test tomorrow

Good luck

Step-by-step explanation:

5: 4605

13 (8+5):

[tex] \frac{4605}{5} \times 13 = [/tex]

=Your answer

Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4​

Answers

Answer:

c = 1/4

-1-1 = -2

-3-5 = -8  

Step-by-step explanation:

Help with 12 please

Answers

12.

[tex]we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{26 + 22 + 32 + 28 + 35 + x}{6} = 30 \\ = > \frac{143 + x}{6} = 30 \\ = > 143 + x = 30 \times 6 \\ = > 143 + x = 180 \\ = > x = 180 - 143 \\ = > x = 37 \\ [/tex]

This is the answer.

Hope it helps!!

2x+y=8
x+y=4
Where do they intersect at?

Answers

Answer:

[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]

Which of the following is NOT written in scientific notation?
a. 3.5X10^-2
b. 21.2X10^3
c. 1.4X10^5
d. 9.9432X10^-4


How many solutions does the following system have?
4x – 2y = 6
2x - y = 3
a. One
b. Infinitely many
c. Two
d. None


Helppp :( please and thank u

Answers

Answer:

b.

b.

Step-by-step explanation:

scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.

the only number not following that rule is b (2 positions in front of the decimal point).

4x - 2y = 6

2x - y = 3

are the same line, as we can multiply the second equation by 2 and get exactly equation 1.

so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.

In the figure above the ratio of the area of WXZ to the area of WYZ is 7:2. If XY = 21, what is the length of segment WY?

Answers

[tex]{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}[/tex]

Because ∆XZW and WYZ is the same height and

Because ∆XZW and WYZ is the same height and the are of ∆WXZ to the the WYZ

[tex]so \:( \frac{1}{2}xw \times h)( \frac{1}{2} w)=7:2[/tex]

Because xy=21

[tex]so \: WY=2 \frac{1}{2}(7 + 2x2) \\ = 21 \frac{1}{2}p \times 2 \\ =\small\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: WY=\frac{14}{3}\:\:\:\: }}}}[/tex]

The length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.

What is the area of triangle?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.

What is the formula for the area of triangle?

Area of triangle = (1/2)base × height

According to the given question.

The ratio of the area of triangle WXZ to the area of triangle WYZ is 7:2.

Since, the height WZ for both the triangles WXZ and WYZ is same.

Let, WZ = h

Therefore, the ratio of the area of the triangles is given by  

 [tex]\frac{\frac{1}{2}WX(h) }{\frac{1}{2}(WY)(h) } =\frac{7}{2}[/tex]

⇒ [tex]\frac{WX}{WY} =\frac{7}{2}[/tex]

⇒ [tex]WX = \frac{7}{2} WY..(i)[/tex]

Since, in the given figure

[tex]XY = WY + WX[/tex]

⇒ [tex]21 = WY + \frac{7}{2} WY[/tex]   (from i)

⇒ [tex]21 = \frac{9}{2}WY[/tex]

⇒ [tex]WY = \frac{14}{3}[/tex]

Hence, the length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.

Find out more information about area of triangle here:

https://brainly.com/question/19305981

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Darcy's harvests 8 3/4 acres of corn every 5/6 hours. How much corn can she collect in a hour. ? =Amount of acres of corn done in a hour.

Answers

Answer:

Step-by-step explanation:

Acres of corn harvested : time taken = 8 3/4 : 5/6

How much corn can she collect in a hour. ?

Let

x = Acres of corn harvested

Acres of corn harvested : time taken = x : 1

8 3/4 : 5/6 = x : 1

35/4 : 5/6 = x : 1

35/4 ÷ 5/6 = x/1

35/4 × 6/5 = x/1

35*6/4*5 = x/1

210/20 = x/1

210 * 1 = 20 * x

210 = 20x

x = 210/20

= 10 1/2 acres

x = Acres of corn harvested = 10 1/2 acres

What is the following product?

Answers

Answer:

[tex]10\sqrt{3}[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]\sqrt{30}*\sqrt{10}[/tex]

One property of multiplying square roots is that one can multiply the numbers under the radical by each other, and then put the radical on top of the result. The following is an example of this general format of this property:

[tex]\sqrt{a}*\sqrt{b}=\sqrt{ab}[/tex]

Apply this to the real problem:

[tex]\sqrt{30}*\sqrt{10}=\sqrt{30*10}[/tex]

Simplify,

[tex]\sqrt{30*10}=\sqrt{300}[/tex]

Rewrite as (300) as the product of two numbers, such that one number is a perfect square:

[tex]\sqrt{300}=\sqrt{3*10^2}[/tex]

Simplify, take a term out of the radical:

[tex]\sqrt{3*10^2}=10\sqrt{3}[/tex]

what is the answer to f (x) = 4x + 11

Answers

Step-by-step explanation:

x=4x+11

11=4x-x

11=3x

x=11/3

x=37

John finds that the sum of two numbers is 24 and their difference is one sixth of the
sum. Find the smallest number between the two numbers.

Answers

Given:

The sum of two numbers is 24 and their difference is one sixth of the sum.

To find:

The smaller number between the two numbers.

Solution:

Let x and y be the two numbers where x>y.

The sum of two numbers is 24.

[tex]x+y=24[/tex]           ...(i)

Their difference is one sixth of the sum.

[tex]x-y=\dfrac{1}{6}\times 24[/tex]

[tex]x-y=4[/tex]              ...(ii)

Adding (i) and (ii), we get

[tex]2x=28[/tex]

[tex]x=\dfrac{28}{2}[/tex]

[tex]x=14[/tex]

Putting [tex]x=14[/tex] in (i), we get

[tex]14+y=24[/tex]

[tex]y=24-14[/tex]

[tex]y=10[/tex]

The two numbers are 14 and 10.

Therefore, the smaller number between the two numbers is 10.

What number, divided by 3/7 , will result in a value of 2 1/3?

Answers

bro you still in school??

Show that x +1 is a factor of f(x) =2x^3 +3x^2 - 5x - 6

Answers

Answer:

Step-by-step explanation:

To solve this, we can use polynomial long division.

Seeing the picture, we first divide x (the variable to the largest degree in x+1) from 2x³. We divide from 2x³ because that is the variable with the largest degree in the polynomial. That is equal to 2x², so we put that on top and subtract (x+1) * (2x²) from the polynomial. Then, we repeat the process, but with x² instead of 2x³, and again with -6x as the variable with the largest degree.

pls answer w explanation!

What is the product of the complex numbers 2 + 6i and 2 - 6i? (Note: i= √-1)

Answers

Answer:

10

Step-by-step explanation:

Apply difference of squares.

[tex](x + y)(x - y) = {x}^{2} - {y}^{2} [/tex]

[tex](2 + 6i)(2 - 6i) = {2}^{2} - {6i}^{2} [/tex]

[tex] = 4 + 6[/tex]

[tex] = 10[/tex]

What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x7 O x= -13 5. O x= O x=1 13 2 O x = 3​

Answers

Answer:

Step-by-step explanation:

what is it that you don't understand about how to get this?  

2(4-3x) + 5(2x-3) = 20-5x

Solve the attachment...​

Answers

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]

Which of the following shows 5x + 17 + 8x – 9 + 2y in simplest terms?

Answers

Answer:

5x+8x+17-9+2y

13x+8+2y

Answer:

13x+8+2y

Step-by-step explanation:

5x+8x=13x

17–9=8

2y=2y

What is the 10th term of the geometric sequence a(n)=-3(2)^(x-1_())

Answers

[tex]\displaystyle\ a(n)=-3(2)^ {n-1}\Longrightarrow a(10)=-3(2)^{10-1}=2^9\cdot -3=\boxed{-1536}[/tex]

its not 12 fyi oh btw question is in the picture btw this is middle school not high school

Answers

Answer:

6in^2

Step-by-step explanation:

formula of a triangle: l x h : 2

4 x 3 = 12

12 : 2 = 6^2

A ball is thrown upward from the balcony of a building and falls to the ground. The height of the ball h meters, above the ground after t seconds is modelled by the function h(t) = -5t^2 + 15t + 45 what is the maximum height?

Answers

Answer:

56.25metres

Step-by-step explanation:

Given the height of the ball h meters, above the ground after t seconds modeled by the function h(t) = -5t^2 + 15t + 45, at maximum height, the velocity is zero, hence;

dh/dt = 0

Since dh/dt = -10t + 15

-10t+ 15 = 0

-10t = -15

t = 15/10

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) =  -5(1.5)^2 + 15(1.5) + 45

h(1.5) = -5(2.25)+22.5+45

h(1.5) = -11.25+67.5

h(1.5) = 56.25

Hence the maximum height is 56.25metres

Which property of addition is shown in the equation below?
a+bi+0+0i = a + bi
commutative property
inverse property
identity property
associative property

Answers

Answer:

Step-by-step explanation:

is option a correct

The correct property of addition is shown in the equation is,

⇒ Identity property.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The equation is,

⇒ a + bi + 0 + 0i

Now, We know that;

Condition of identity property is,

⇒ a + 0 = a

Thus, The correct property of addition is shown in the equation is,

⇒ Identity property.

Learn more about the addition visit:

https://brainly.com/question/25421984

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Plz help as quick as possible!

Answers

average =65%

average = (60+70)/(100+100)*100

= 130/200*100

= 65%

65% maybe wrong tell me if I am

Solve: [tex]x=4+\left(4x-4\right)\frac{1}{2}[/tex]
x = 2

x = 10
x = 2 or x = 10

no real solution

Answers

Answer: x = -2

Step-by-step explanation:

[tex]x=4+(4x-4)\frac{1}{2} \\x=4+\frac{4x}{2}-\frac{4}{2}\\x=4+2x-2\\x=2+2x\\x-2x=2\\-x=2\\x=-2[/tex]

Answer: -2


Explanation:

Find a unit vector u u in R 2 R2 such that u u is perpendicular to v . v. How many such vectors are there

Answers

Answer: hello some part of your question is missing

Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.

Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?

answer:

One(1) unit vector ( < 5/√29,  2 /√29 >  ) perpendicular to 〈−2,5〉

Step-by-step explanation:

let  

u = < x , y > ∈/R^2  be perpendicular to  v = < -2, 5 > ------ ( 1 )

hence :

-2x + 5y = 0

-2x = -5y

x = 5/2 y

back to equation 1

u = < 5/2y, y >

∴ || u || = y/2 √29

u   = < 5 /2 y * 2 / y√29 ,  y*2 / y√29 >

    = < 5/√29,  2 /√29 >  ( unit vector perpendicular to < -2, 5 > )

The mean grade on the statistics exam is M=82, the standard deviation is G=12. What actual grade has a Z score of z= -1.5

Answers

Answer:

64

Step-by-step explanation:

-1.5 = (X - 82)12

-18 = X-82

X = 64

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