Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?

Answer:

[tex]\theta = 108.29[/tex]

Step-by-step explanation:

Given

[tex]u = <2,6>[/tex]

[tex]v = <4,-7>[/tex]

Required:

Calculate the angle between u and v

The angle [tex]\theta[/tex] is calculated as thus:

[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex]

For a vector

[tex]A = <a,b>[/tex]

[tex]A = a * b[/tex]

[tex]cos\theta = \frac{u.v}{|u|.|v|}[/tex] becomes

[tex]cos\theta = \frac{<2,6>.<4,-7>}{|u|.|v|}[/tex]

[tex]cos\theta = \frac{2*6+4*-7}{|u|.|v|}[/tex]

[tex]cos\theta = \frac{12-28}{|u|.|v|}[/tex]

[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]

For a vector

[tex]A = <a,b>[/tex]

[tex]|A| = \sqrt{a^2 + b^2}[/tex]

So;

[tex]|u| = \sqrt{2^2 + 6^2}[/tex]

[tex]|u| = \sqrt{4 + 36}[/tex]

[tex]|u| = \sqrt{40}[/tex]

[tex]|v| = \sqrt{4^2+(-7)^2}[/tex]

[tex]|v| = \sqrt{16+49}[/tex]

[tex]|v| = \sqrt{65}[/tex]

So:

[tex]cos\theta = \frac{-16}{|u|.|v|}[/tex]

[tex]cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}[/tex]

[tex]cos\theta = \frac{-16}{\sqrt{2600}}[/tex]

[tex]cos\theta = \frac{-16}{\sqrt{100*26}}[/tex]

[tex]cos\theta = \frac{-16}{10\sqrt{26}}[/tex]

[tex]cos\theta = \frac{-8}{5\sqrt{26}}[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})[/tex]

[tex]\theta = cos^{-1}(\frac{-8}{5 * 5.0990})[/tex]

[tex]\theta = cos^{-1}(\frac{-8}{25.495})[/tex]

[tex]\theta = cos^{-1}(-0.31378701706)[/tex]

[tex]\theta = 108.288386087[/tex]

[tex]\theta = 108.29[/tex] (approximated)

Answer:

8/12

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A is probably the best one!

Given:

The function is

[tex]f(x)=2x^4-4x^3+20x-100[/tex]

To find:

The remainder if f(x) is divided by (x+11).

Solution:

According to the remainder theorem, if a function f(x) is divided by (x-c), then the remainder is f(c).

On comparing (x+11) and (x-c), we get c=-11.

Using remainder theorem, if a function f(x) is divided by (x+11), then the remainder is f(-11).

Putting x=-11 in the given function.

[tex]f(-11)=2(-11)^4-4(-11)^3+20(-11)-100[/tex]

[tex]f(-11)=29282+5324-220-100[/tex]

[tex]f(-11)=34606-320[/tex]

[tex]f(-11)=34286[/tex]

Therefore, the remainder is 34286 when f(x) is divided by (x+11).

Answer:

The equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

Step-by-step explanation:

We need to solve the equation [tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}[/tex]

Solving the equation:

[tex]\frac{1}{(x-4)}+1=\frac{14}{x+2}\\\frac{1+(x-4)}{x-4}= \frac{14}{x+2}\\\frac{1+x-4}{x-4}= \frac{14}{x+2}\\\frac{x-3}{x-4}= \frac{14}{x+2}\\Cross\: Multiply\\(x-3)(x+2)=14(x-4)\\x(x+2)-3(x+2)=14x-56\\x^2+2x-3x-6=14x-56\\x^2-x-6-14x+56=0\\x^2-x-14x-6+50=0\\x^2-15x+50=0[/tex]

Now, we would factorise to find value of x

[tex]x^2-15x+50=0\\x^2-5x-10x+50=0\\x(x-5)-10(x-5)=0\\(x-5)(x-10)=0[/tex]

So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

Answer:

So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0

Option B is correct.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

This function is y=-2 which is a line that doesn't overlap.

Answer: Yes

Step-by-step explanation:

When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.

For example:

{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.

Another example:

{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value

Hope this helps!

Answer:

D is the answer.

Step-by-step explanation:

The equivalent formula for the circumference C is,

⇒ C = πd

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

r is the radius of a circle and d is its diameter,

We know that;

The circumference of circle is,

C = 2πr

Where, 'r' is radius of circle

Now, We know that;

⇒ r = d / 2

Hence, We get;

The equivalent formula for the circumference C is,

⇒ C = 2π × d/2

⇒ C = πd

Thus, The equivalent formula for the circumference C is,

⇒ C = πd

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Answer:

57

Step-by-step explanation:

Answer:

i think its 1/3 sorry if im wrong

Answer:

x ≤ 12.83

(Any number under or equal to 12.8333...)

Step-by-step explanation:

154 ≥ 12x

12.833.... ≥ x

x ≤ 12.83

Answer:

Also a negative number

Step-by-step explanation:

negative times negative is equal to positive, positive times negative is equal to negative

First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.

If x is a real number,

-x is a negative real number,

(-x)³=-(x³)

e.g.(-3)³=-(3³)= -27

(-½)³=-(½)³= -(1/8)

The cube of a negative number can be calculated in the same way as you calculate for the positive number.

First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.

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Answer:

Step-by-step explanation:

put a point on -5 and put a point on -4  then write the equation on the top to show what you did, name the points then put a point on -9

Answer:

x  ≥  1

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

−x  ≤  −1

Divide each term in −x ≤ −1  by −1 and simplify.

x  ≥  1

Hope this helps! :)

2,infinity

Hope this helps

Answer:[2,♾)

Step-by-step explanation:

y=1/5x because it passes through the origin

The following equations are set up for each person

Zinnia: 58x+13

Ruby: 58y

If you need the total of both the equation is:

58x+13+58y

Hopefully this helped :) Have a great day

Answer:

I believe your answer is D, 58x+13+58y.

Step-by-step explanation:

Answer:

What are "the following equations" supposed to be?

Step-by-step explanation:

:)

Answer:

60 seconds make 1 minute,60 minute make 1 hours.

Answer: A

Step-by-step explanation:

Answer:

A. 1/12

Step-by-step explanation:

Answer:

45.5*0.2 which is 9.1

Step-by-step explanation:

Hope this helps plz hit the crown :D

Answer:

theres no situations or answers.

Step-by-step explanation:

Answer:

BC = [tex] 1.8 [/tex]

Step-by-step explanation:

∆ABC is an equilateral ∆ because all three angles are equal. Therefore, all its sides would be equal also. This means AB = BC = AC

Thus, let's find the value of x.

[tex] \frac{7}{4}x - 1 = \frac{9}{3}x - 3 [/tex]

Collect like terms

[tex] \frac{7}{4}x - \frac{9}{3}x = 1 - 3 [/tex]

[tex] \frac{7x}{4} - 3x = -2 [/tex]

[tex] \frac{7x - 12x}{4} = -2 [/tex]

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

Multiply both sides by 4

[tex] \frac{-5x}{4}*4 = -2*4 [/tex]

[tex] -5x = -8 [/tex]

Divide both sides by -5

[tex] x = \frac{8}{5} [/tex]

AB = BC = AC

Therefore,

BC = [tex] \frac{7}{4}x - 1 [/tex]

Plug in the value of x

BC = [tex] \frac{7}{4}*\frac{8}{5} - 1 [/tex]

BC = [tex] \frac{56}{20} - 1 [/tex]

BC = [tex] 2.8 - 1 [/tex]

BC = [tex] 1.8 [/tex]

Answer:

graph like this:

Step-by-step explanation:

First, in 5 seconds, we know that he drinks 25 mL of slushy. We know this because 1 second is 5 mL, so 5 seconds is 25 mL. So, your graph should be going from the 5 second to 25 mL mark, then the 10 second and 50 mL mark, then the 15 mL and 75 mL mark, and so on.

Answer: 9 and 21

Step-by-step explanation:

board=30m

divide by 2 pieces

one piece, we call it a

b, the other piece is b= 2a+3

a+b=30

a+2a+3=30

3a=30-3

3a=27

a=9

b=21

√ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.

We are given a number √ 3.

We need to classify the number.

First we can see that, this is the non negative square root of the number 3.

That is when we multiply √ 3 two times, we get the number 3.

Also, we can see that, it will be an irrational number as it will be non terminating and non repeating number.

That is it will be a real irrational number.

Therefore, we get that, √ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.

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Answer:

22^6

Step-by-step explanation:

Answer:22^6

Step-by-step explanation:

because you have 22*22 6 times take the 6 twenty twos and make that an exponent of 6 you have the base of 22 you have the exponent of 6 so you have to power of 22 to the sixth

Answer:

$82.38

Step-by-step explanation:

What you have to do is divide. $659 divided by 8 equals 82.375 so then you round so then it will be money. This would equal $82.38. There you go. Hope that answered your question. Mark me brainliest please!