When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?

Answer:

(√6 - √2)/4

Step-by-step explanation:

cos30°cos45° - sin30°sin45°

= cos (30 + 45)°

= cos 75°

= (√6 - √2)/4

A. is the correct answer

Answer:

A

Step-by-step explanation:

(x-3)(2x+1)= (due to FOIL(First Outer Inner Last)) (First)2x^2-(Outer+Inner)5x-(Last)3. 2x^2-5x-3 is what A says, so A is the answer.

Answer:

[tex]\huge\boxed{\sf <WVT = 40\°}[/tex]

Step-by-step explanation:

According to one of the tangent-secant theorems,

∠WVT = [tex]\frac{1}{2} (arc\ TW-arc\ UW)[/tex]

Given that:

∠WVT = (3x + 4)°

arc TW = (14x + 7)°

arc UW = (7x + 11)°

Solution:

3x + 4 = 1/2 (14x + 7 - (7x + 11))

3x + 4 = 1/2 (14x + 7 - 7x - 11)

3x + 4 = 1/2 ( 7x - 4 )

Multiply both sides by 2

2 ( 3x + 4 ) = 7x - 4

6x + 8 = 7x - 4

Combining like terms

7x - 6x = 8 + 4

x = 12

Finding ∠WVT:

∠WVT = (3x + 4)°

∠WVT = (3(12)+4)°

∠WVT = (36+4)°

∠WVT = 40°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

6141 - 89 = The 68th multiple (6052)

Answer:

3.902.

Step-by-step explanation:

3. 9015:

The 10 thousandth digit is 5 so you round up the 1 to 2.

m<1 = 36° (str. <s)

m<2 = 90°

m<4 = 36° (str. <s)

m<5 = 90° (vert. opp. <s)

m<6 = 54° (vert. opp. <s)

m<7 = 126° (str. <s)

m<8 = 54° (< sum of triangle)

m<9 = 126° (vert. opp. <s)

m<10 = 54° (vert. opp. <s)

m<11 = 36° (alt. <s)

m<12 = 144° (str. <s)

m<13 = 36° (vert. opp. <s)

m<14 = 144° (vert. opp. <s)

Answer:

hi i am new in this app can u help

Step-by-step explanation:

hi miss can you help

Answer:

C. 0.333

Step-by-step explanation:

It is a ratio. For every 1 added to the x-value, 3 is added to the y-value. So therefore, the constant is 0.333

Answer:

A. 3

Hope this helps :)

Answer:

x= 26

Step-by-step explanation:

area of rectangle = L×b

240 = 10(x-2)

240 = 10x - 20

240+20 =10x

260 =10x

260/10 = x

26 = x

:,x =26

The required value of x is 26

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Answer:

434.60

Step-by-step explanation:

Answer:

length between is 8.54 units

Step-by-step explanation:

Formular:

[tex] { \bf{ = \sqrt{ {(x_{1} - x_{2}) }^{2} + {(y_{1} - y_{2}) }^{2} } }}[/tex]

x1 is -4

x2 is 4

y1 is 4

y2 is 1

[tex] = \sqrt{ {( - 4 - 4)}^{2} + {(4 - 1)}^{2} } \\ = \sqrt{64 + 9} \\ = \sqrt{73} \\ = 8.54 \: units[/tex]

Answer:

Distance = 8.25 units

Step-by-step explanation:

use the formula :

√ (x2 _ x1) + (y2 - y1)

where ,

x2 = 4

x1 = -4

y2 = 1

y1 = -1

[tex]9x(9x + 3) \\ \\ 81 {x}^{2} + 27x[/tex]

Answer:

81[tex]y^{8}[/tex][tex]z^{4}[/tex]

Step-by-step explanation:

Answer:

-15 -0.5 0 0.5 1 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1.5 0 0.5 1 1.5

Step-by-step explanation:

Hey there! Before we start with the problem, you mean f(2) instead of F(2) if I'm correct. In maths, variables are case-sentitive so F and f both are different.

First, f(2) means the value of y at x = 2.

f(2) is when we substitute x = 2 in and receive the output (y-value).

In coordinate plane, we have (x,y) as a point. What we have to do is to look at the graph, you will see the point that contains (2,-8)

That's it! Refer above, f(2) is when we substitute x = 2 and get y-value.

Hence, f(2) = -8

Let me know if you have any questions!

Topic: Function

Answer:

its 12.03

have a great dayy

Answer:

12:40

hope this will help you have a great day

Fractions can be evaluated, same way non fractions are evaluated

The result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7

The given parameters are:

[tex]\mathbf{\dfrac {9}m+4}[/tex]

[tex]\mathbf{m = 3}[/tex]

So, we have:

[tex]\mathbf{\dfrac {9}m+4}[/tex]

Substitute 3 for m

[tex]\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}[/tex]

Evaluate the division

[tex]\mathbf{\dfrac {9}m+4 = 3+4}[/tex]

Add 3 and 4

[tex]\mathbf{\dfrac {9}m+4 = 7}[/tex]

Hence, when m equals 3, the result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7

Read more about fractions at:

https://brainly.com/question/6201432

Answer:

mean: 13.2 (average)

median: 14.5 (Center)

mode: 14 and 15 (because data is bimodal so there are two modes

Step-by-step explanation:

Answer:

mean = 13.2, median = 15.5, mode = 18

Step-by-step explanation:

mean = 14+15+3+15+14+14+18+15+8+16/10

= 132/10 = 13.2

median =[ (n/2)th term + (n/2+1)term ]/2

here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order

= [10/2 + (10/2+1)]/2

= [5th term + 6th term]/2

= (15+16)/2

= 31/2 = 15.5

mode = 18

Answer:

222222

Step-by-step explanation:

Answer:

60 degrees.

Step-by-step explanation:

BC is parallel to the x axis (because B and C have the same y-coordinate).

Slope of AB is 3/√3 = √3

so the angle AB makes with the axis = angle it makes with BC

= arctan(√3)

= 60 degrees.

Answer:

Step-by-step explanation:

10 x 0.018

(On multiplying 10 decimal point will shift one side right)

= 0.18 (Ans)

Answer:

your answer is 0.18

I hope it's helps you

Answer:

Step-by-step explanation:

94 degrees.

Answer:

m1 = 94°

m2 = 26°

m3 = 60°

m4 = 26°

m5 = 60°

m6 = 120°

m7 = 60°

m8 = 60°

m9 = 94°

m10 = 94°

f(x)=5x^2-11x+18

[tex]\\ \sf\longmapsto f(2.4)[/tex]

[tex]\\ \sf\longmapsto 5(2.4)^2-11(2.4)+18[/tex]

[tex]\\ \sf\longmapsto 5(5.76)-26.4+18[/tex]

[tex]\\ \sf\longmapsto 28.8-26.4+18[/tex]

[tex]\\ \sf\longmapsto 2.4+18[/tex]

[tex]\\ \sf\longmapsto 20.4[/tex]

And

[tex]\\ \sf\longmapsto f(-3)[/tex]

[tex]\\ \sf\longmapsto 5(-3)^2-11(-3)+18[/tex]

[tex]\\ \sf\longmapsto 5(9)+33+18[/tex]

[tex]\\ \sf\longmapsto 45+51[/tex]

[tex]\\ \sf\longmapsto 96[/tex]

The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The quadratic expression is given below.

⇒ 5x² - 11x + 18

The value of the expression at x = 2.4, then the value of the expression will be

⇒ 5(2.4)² - 11(2.4) + 18

⇒ 28.8 - 26.4 + 18

⇒ 20.4

The value of the expression at x = -3, then the value of the expression will be

⇒ 5(-3)² - 11(-3) + 18

⇒ 45 + 33 + 18

⇒ 96

The value of 5x² - 11x + 18 is when x = 2.4 and when x = -3 will be 20.4 and 96.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Answer:

92

Step-by-step explanation:

[tex]8+x=100\\\\x=92[/tex]

Answer: B. 92

Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92

Answer:

1/3 = .3333333 forever

Step-by-step explanation:

It's a decimal that doesn't terminate.