A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord, the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord stretches. What is the constant of proportionality in her equation?

Answer and Step-by-step explanation:

Pythagorean theorem

Half of 4 is 2.

2^2 + 9^2 = l^2

4 + 81 = l^2

Square root of 85 = l

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Answer:

second option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x - 9 ( add 9 to both sides

y + 9 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = x + 9

Answer:

395.2

Step-by-step explanation:

380 x 0.04 = 15.2

380 + 15.2 = 395.2

Answer:

The cost of the system including the tax is $395.20.

Step-by-step explanation:

If the tax is 4% that means that the total price will equal...

380 + (380)(0.04) = $395.20

Therefore the cost of the system including the tax will be $395.20.

Answer: 28 degrees

Step-by-step explanation:

Since angle KJL = LJM then that means angle 7x=3x+16

First we need to solve for x

7x=3x+16

4x=16

x=4

now we can input it into either equation to solve for the angle KJL

7(4)= 28 so the angle is 28 degrees

Answer:x + 10 = x2 + 2x + 1 x + 10 = x2 + 1 x + 10 = x2 – 1.

Step-by-step explanation:

The solution is, x+10 = x^2 + 2x + 1 is the equation is related to

√x+10  - 1 = x.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the equation is,

√x+10  - 1 = x

or, √x+10 = x+1

now, taking square on both side, we get,

x+10 = (x+1)^2

we have,

(a+b)^2 = a^2 + 2ab + b^2

so, applying that, we get,

x+10 = x^2 + 2x + 1

Hence, The solution is, x+10 = x^2 + 2x + 1 is the equation is related to √x+10  - 1 = x.

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Answer:

1/6

Step-by-step explanation:

When subtracting or adding fractions, you always want the denominator (aka the bottom number of the fraction) to be the same number. Since both of your denominators are both the same, we can subtract!

                                                 2/6 - 1/6 = 1/6

Remember that you don't subtract the bottom, just the top. Hope this helped :)

Step-by-step explanation:

first you find 60% of 357.50 which is $214.50. Next you would add $357.50+214.50=572

so the awnser is

the sale price of a popular smart phone is $572.

Hope this helps!!

Answer:

99 inches

Step-by-step explanation:

9*11 =99

Answer:

Step-by-step explanation:

Casually puts a link to a weird website..

https://theuselessweb.com

*whistles*

Answer:

there is no solution-

Step-by-step explanation:

there's no solution because its impossible for a to have 2 different values; you see that 0.1 and 0.01 are not equal, therefore a can not be equal,, otherwise the equation would be false

Answer:

100 pieces maybe?

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

1/2x5x7x4+7x7

can I have the brainliest ?

Answer:

119 m

Step-by-step explanation:

First find the square 7x7 = 49m

Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5

17.5 * 4 = 70m

70m + 49m = 119m

Given:

In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.

To find:

The length of AC.

Solution:

According to the Law of Sines:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Using Law of Sines, we get

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]

[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]

[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]

[tex]C\approx 36.86^\circ[/tex]

Using angle sum property, we get

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]

[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]

[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]

[tex] \angle B =62.14^\circ [/tex]

Now,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]

[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]

[tex]b\approx 12.08[/tex]

Therefore, the length of AC is 12.08 cm.

Answer:

12.23

Step-by-step explanation:

4+5.23 = 9.23

9.23 + 3 = 12.23

Answer:

2,160

Step-by-step explanation:

Answer:

2160 quarts in 36 hours would be made

Step-by-step explanation:

120÷2=60

60×36=2160

Answer:

Q = -3.4

Step-by-step explanation:

Our original equation is:       -13(q+4)=7q+16

if we simplify this, we get:     -13q-52=7q+16

Subtract 16 from both sides: -13q-68=7q

Add 13q to both sides to get:      -68=20q

divide the equation to get this:  -3.4=q

Answer:

2nd option will be the answer (y=4x²+48x+146)

Step-by-step explanation:

y=4(x+6)²+2

y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]

y=4(x²+12x+36)+2

y=4(x²)+4(12x)+4(36)+2

y=4x²+48x+144+2

y=4x²+48x+146

Answer:

wdym

Step-by-step explanation:

The unit rate of t tacos for c dollars is t/c.

Given that, t tacos costs for c dollars.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Here,

The unit rate = Number of tacos/Cost of t tacos

= t/c

Therefore, the unit rate of t tacos for c dollars is t/c.

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Answer:π(2.5)

Step-by-step explanation:

π(2.5)

Answer:

5(x)+2(y)=3.45

7(x)+3(y)=4.90

Answer:

13.2 miles

Step-by-step explanation:

To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.

(5.5 + 3.5)² + b² = 15²

9² + b² = 15²

81 + b² = 225

b² = 144

b = 12

Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).

5.5² + 12² = c²

30.25 + 144 = c²

174.25 = c²

13.2 ≈ c

Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.

Answer:

both A and E

Step-by-step explanation:

because most of 70% of the water is sea salt and clean water comes from frozen underground.

Answer:

The equation to be used is 4/8 × 8/12=1/3

Answer:

i dont see the question

Step-by-step explanation:

Answer: its positive !!!

Step-by-step explanation: got it wrong at first:(

Answer:

a. 4.25   b. 29.75

Step-by-step explanation:

a. divide 5 and $21.25     b. multiply 4.25 by 7

Answer:

b

Step-by-step explanation:

The percentage of purple flowers and white flowers produced in the F2 generation will be 75% and 25% respectively.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Here, we have,

F2 generation can be defined as the filial generation that arises from the interbreeding between the offspring of F1 generation. F1 generation is produced when two parents are crossed with each other. And this F1 generation when inter-bred fives rise to F2 generation.

Since the F1 generation consisted of offspring with genotype Pp, the the self cross (Pp × Pp) will produce the F2 generation with offspring PP, Pp, Pp and pp. As a result, the percentage of purple and white flowers will be 75% and 25% respectively.

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The given question is incomplete, the complete question is:

If two homozygous parents with genotype PP and pp are crossed, the F1 generation contains the genotype Pp. If the offspring of F1 generation is self-crossed, what must be the percentage of purple flowers and white flowers in the F2 generation?