How many solutions does this nonlinear system of equations have?​

The missing length is 18

Using Pythagorean rule

Hyp^2 = Opp^2 + adj^2

Opp^2 = hyp^2 - adj^2

Opp^2 = 30^2 - 24^2

Opp^2 = 900 - 576

Opp^2 = 324

Opp = sqrt ( 324 )

Opp = 18

The equation of the ravine function is an illustration of a quadratic function

It will take 1.5 seconds for the music player to fall to the bottom of the ravine

The equation of the function is given as:

[tex]t = \sqrt{\frac{8t + 24}{16}}[/tex]

Take the square of both sides

t² = (8t + 24)/16

Multiply both sides by 16

16t² = 8t + 24

Divide through by 8

2t² = t + 3

Set the equation to 0

2t² - t - 3 = 0

Expand the equation

2t² + 2t- 3t - 3 = 0

Factorize the equation to 0

2t(t + 1)- 3(t + 1) = 0

Factor out t + 1

(2t- 3)(t + 1) = 0

Expand

2t- 3 = 0 or t + 1 = 0

Solve for t

t= 1.5 or t =- 1

Time cannot be negative.

So, we have:

t = 1.5

Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine

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Answer:

[tex]\displaystyle \textcolor{black}{4.}\:[-3, -5][/tex]

[tex]\displaystyle \textcolor{black}{3.}\:[8, -1][/tex]

[tex]\displaystyle \textcolor{black}{2.}\:[4, -7][/tex]

[tex]\displaystyle \textcolor{black}{1.}\:[3, -2][/tex]

Step-by-step explanation:

When using the Elimination method, you eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

[tex]\displaystyle \left \{ {{2x - 3y = 9} \atop {-5x - 3y = 30}} \right.[/tex]

{2x - 3y = 9

{⅖[−5x - 3y = 30]

[tex]\displaystyle \left \{ {{2x - 3y = 9} \atop {-2x - 1\frac{1}{5}y = 12}} \right. \\ \\ \frac{-4\frac{1}{5}y}{-4\frac{1}{5}} = \frac{21}{-4\frac{1}{5}} \\ \\ \boxed{y = -5, x = -3}[/tex]

------------------------------------------------------------------------------------------

[tex]\displaystyle \left \{ {{x - 2y = 10} \atop {x + 3y = 5}} \right.[/tex]

{x - 2y = 10

{⅔[x + 3y = 5]

[tex]\displaystyle \left \{ {{x - 2y = 10} \atop {\frac{2}{3}x + 2y = 3\frac{1}{3}}} \right. \\ \\ \frac{1\frac{2}{3}x}{1\frac{2}{3}} = \frac{13\frac{1}{3}}{1\frac{2}{3}} \\ \\ \boxed{x = 8, y = -1}[/tex]

_______________________________________________

[tex]\displaystyle \left \{ {{y = -3x + 5} \atop {y = -8x + 25}} \right.[/tex]

{y = −3x + 5

{−⅜[y = −8x + 25]

[tex]\displaystyle \left \{ {{y = -3x + 5} \atop {-\frac{3}{8}y = 3x - 9\frac{3}{8}}} \right. \\ \\ \frac{\frac{5}{8}y}{\frac{5}{8}} = \frac{-4\frac{3}{8}}{\frac{5}{8}} \\ \\ \boxed{y = -7, x = 4}[/tex]

------------------------------------------------------------------------------------------

[tex]\displaystyle \left \{ {{y = -x + 1} \atop {y = 4x - 14}} \right.[/tex]

{y = −x + 1

{¼[y = 4x - 14]

[tex]\displaystyle \left \{ {{y = -x + 1} \atop {\frac{1}{4}y = x - 3\frac{1}{2}}} \right. \\ \\ \frac{1\frac{1}{4}y}{1\frac{1}{4}} = \frac{-2\frac{1}{2}}{1\frac{1}{4}} \\ \\ \boxed{y = -2, x = 3}[/tex]

_______________________________________________

I am joyous to assist you at any time.

Answer:

Center: (3,-1)

Radius: 3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{x^2+y^2-6x+2y+1=0}[/tex]

First, we have to convert the following standard circle equation to this:

[tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex]

where h is horizontal shift, k is vertical shift and r is radius.

That means we have to complete the square for both x-term and y-term.

Rearrange the equation:

[tex]\displaystyle \large{x^2-6x+y^2+2y+1=0}\\\displaystyle \large{(x^2-6x)+(y^2+2y+1)=0}[/tex]

For [tex]\displaystyle \large{y^2+2y+1}[/tex], can be converted to perfect square as [tex]\displaystyle \large{(y+1)^2}[/tex]. Hence:

[tex]\displaystyle \large{(x^2-6x)+(y+1)^2=0}[/tex]

For the x-terms, we have to find another value that can complete the square. We know that [tex]\displaystyle \large{(a\pm b)^2 = a^2 \pm 2ab + b^2}[/tex].

For [tex]\displaystyle \large{x^2-6x}[/tex] can be [tex]\displaystyle \large{x^2-2(x)(3)+3^2 \to x^2-6x+9}[/tex]. So our another value is 9.

[tex]\displaystyle \large{(x^2-6x+9-9)+(y+1)^2=0}[/tex]

From above, we add -9 because the original expression isn’t actual perfect square.

Separate -9 out of [tex]\displaystyle \large{x^2-6x+9}[/tex]:

[tex]\displaystyle \large{(x^2-6x+9)-9+(y+1)^2=0}[/tex]

Transport -9 to add another side:

[tex]\displaystyle \large{(x^2-6x+9)+(y+1)^2=9}[/tex]

Complete the square:

[tex]\displaystyle \large{(x-3)^2+(y+1)^2=9}[/tex]

Finally, we have our needed equation to find radius and center. The coordinate of center is defined as the point (h,k) from [tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex] and the radius is defined as r.

Hence, from the equation:

The coordinate of center is (3,-1) with radius equal to 3.

Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.

In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

$710,000

Step-by-step explanation:

The computation of the owner’s equity at the end of the year is given below:

We know that

The accounting equation equals to

Total assets = Total liabilities + owners equity

where,

Total assets = $800,000 + $150,000 = $950,000

And, the total liabilities = $300,000 - $60,000 = $240,000

So, the owners equity at the end of the year would be

= $950,000 - $240,000

= $710,000

Answer:

D

Step-by-step explanation:

36 can be divided by both 2 & 3

Answer:

The answer is D.

Step-by-step explanation:

2x18=36

3x12=36

Answer:

the largest Angle has a measure of 360 degrees

Answer:

  (a)  140 sandwiches

Step-by-step explanation:

The total number sold can be found from the given relation:

  56 sandwiches = 40% × total sold

__

Dividing by the coefficient of the variable, we find ...

  total sold = (56 sandwiches)/0.40 = 140 sandwiches

The total number of sandwiches sold last week was 140.

Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

Answer:

D. f(x) = x - 4

Step-by-step explanation:

If you plug in the x values for the expression x - 4:

3 - 4 = -1
4 - 4 = 0
5 - 4 = 1
6 - 4 = 2
This means that the function rule is f(x) = x - 4
Hope this helps :)

Divide total bought by number of people first:

680 / 45 = 15.111

round up to 16. Multiply 16 by 45:

45 x 16 = 720

He should have bought 720 pieces. Now by Tracy to find how many more pieces:

720 - 680 = 40

He should have bought 40 more pieces.

Answer:

10%

Step-by-step explanation:

1/10  = 10%

Answer:

d = 12.6 ft

Step-by-step explanation:

From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.  

Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

Therefore, use Pythagoras Theorem to find the measure of d.

Given values:

Substitute the given values into the formula and solve for d:

[tex]\implies d^2+18^2=22^2[/tex]

[tex]\implies d^2+324=484[/tex]

[tex]\implies d^2=484-324[/tex]

[tex]\implies d^2=160[/tex]

[tex]\implies d=\sqrt{160}[/tex]

[tex]\implies d=12.6491106...[/tex]

Therefore, d = 12.6 ft (nearest tenth).

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This is the war between the communist governmrnt of Vietnam North and the South Vietnam.  The United States of America were the main ally of the Vietnam south during the war.

The communist Vietnam North later united with the south with a common name Socialist Reepublic of Vietnam, After a fierce onslaught that took the life of about 58000 americans and over 2 million Vietnamese.

The influence of the Vietnam war in United States today

1. End of the drafts

The drafts is the method of conscription to the military that requires vitually every male between the age of 18 - 25 in United States to register with the selective service. since the end of the Vietnam war in 1975 the draft stopped hence no penalty for not registering to the draft.

2. Granting 18 years old the right to vote

26th Amendment of the United States Constitution gave right to vote to the 18 years old citizens. Today 18 tear old American has right to vote. This was evolvement of the war and still holds till date.

3. It is easier getting into a war than getting out of a war

Americans was pulling out of the Vietnam war when they suffered the huge massacre. This lesson was helpful for president George H W Bush during the 1991 Persian Gulf War were he systematically exited after liberating Kuwait

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Answer:

the answer is shown below

I truly hope this helps you -TJ

Step-by-step explanation:

here you go

Answer:

D

Step-by-step explanation:

Edge

Answer:

1/72

Step-by-step explanation:

16 * 18 = 288

4/288 = 1/72

Answer:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Step-by-step explanation:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Given :

Joshua has a ladder that is 12 ft long.

He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.

For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.

Check the angle that the ladder makes with the ground:

The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but  is  so, the ladder won't be safe.

To make the ladder safe, the height should not be 11.8ft.

The height from ground to top of the ladder is < 11.6 ft for safety reasons.

Step-by-step explanation:

after x^2-4x-5 do sum and product

Answer:

Step-by-step explanation:

From the given price function, we have;

(a) [tex] \frac{dp}{dq} = - 13[/tex]

(b) The point elasticity of demand is 0.0256; inelastic demand

(c) $46.6

(d) Increase

a. The given function is presented as follows;

[tex]p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} } [/tex]

Differentiating the above function with a graphing calculator and setting q = 150 gives;

[tex] \frac{dp}{dq} = - 13[/tex]

b. The point elasticity of demand is given by the formula;

[tex] e \: = \frac{dq}{dp} \times \frac{p}{q} [/tex]

When q = 150, we have;

P = 50

Which gives;

[tex]e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256[/tex]

The point elasticity of demand, E = 0.0256

c. If the quantity demanded decreases from 150 to 140 units, we have;

[tex]0.0256 \: = \frac{1}{13} \times \frac{p}{140} = [/tex]

Which gives;

p = 46.6

d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

R = p × q

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The fact that the angles in a triangle add up to 180 indicates that it is actually a square). There are also four right triangles, each with a base and a height. The Pythagorean Theorem is reached when a2 + b2 = c2.

Answer: 15 miles per gallon

Step-by-step explanation:

135 divided by 9

15 miles per gallon

rate:

[tex]\sf \dfrac{distance}{amount \ of \ oil}[/tex]

[tex]\rightarrow \dfrac{135}{9}[/tex]

[tex]\sf \rightarrow15 \ miles \ per \ gallon[/tex]

Answer:

30 ft.³

Step-by-step explanation:

3ft. × 5ft. × 2ft. = 30 ft.³

Please rate!! I hope this helps!!

Answer:

40; 0.1 and 0.16

Step-by-step explanation:

a. We know that p(w)=230(1.1)^W represents the number of specialty items produced at the old factory.

This equation is in the form of an exponential growth function:

f(x)=a(1+r)^x

where a is the initial value, r is the growth rate, and x is the number of time intervals.

That means that for p(w)=230(1.1)^W:

230 is the initial value, and 0.1 is the growth rate. (1.1-1)

Therefore, for week 0, there were 230 specialty items produced at the old factory.

We can also plug in 0 for w (0 time intervals) to get the same answer

That would look like:

p(0)=230(1.1)^0

p(0)=230(1)

p(0)=230

On the other hand, for the new factory, if you go find 0 on the x-axis, you'll notice that 190 specialty items were produced in week 0.

230-190=40

This means that our answer for a is that 40 more specialty items were produced at the old factory than the new factory.

_____

b. Our first step for this question would be to find the equation for the graph.

We can immediately recognize that this is an exponential growth function, similar to the other equation.

As a reminder, exponential growth functions are in the form: f(x)=a(1+r)^x

We can put it in terms of production and weeks:

p(w)=a(1+r)^w

We know that the initial value is 190 by the graph.

p(w)=190(1+r)^w

Now we just need to find the growth rate:

We can do this by choosing a value (other than the first point) and plugging it in.  Let's use (1, 220) which is in the form (w, p)

Plug it in to the equation:

220=190(1+r)^1

220=190(1+r)

Distribute

220=190+190r

Subtract 190 from both sides

30=190r

Divide 190 from both sides

r=0.1578947368 (round how your teacher asks)

Next, all we have to do is find the growth rate for the old factory:

p(w)=230(1.1)^W

1.1=1+r

Therefore, r=0.1

The growth rate at the old factory is 0.1.

When comparing them, we'll realize that the growth rate at the new factory is about 0.06 higher.

#1

For old factory

So

[tex]\\ \rm\dashrightarrow p(0)=230(1.1)^0=230(1)=230[/tex]

For nEW factory

Difference:-

40 items were more produced

#2

For old factory

[tex]\\ \rm\dashrightarrow 230(1+0.1)^t[/tex]

For new factory

Find slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{220-190}{1}=30[/tex]

Find growth rate

New factory has greater growth rate

Divide the box into two parts for easy way answer

For cube:-

TSA

Cancel one side area

For triangular pyramid:-

Area of one base

Area of four sides=90(4)=360cm^2

Answer:

1080 cm^2

Step-by-step explanation:

∴ Given:

Graham carves a block of wood shaped like a cube with a square pyramid on top.

∴To Find:

How much paint will Graham need to paint the toy?

∴Solve:

Base on the given:

[tex]S=5a^2+4ah\cdot\frac{1}{2}[/tex]

= [tex]5\cdot12^2+4\cdot12\cdot15\cdot\frac{1}{2}[/tex]

[tex]=1080cm^2[/tex]

Hence [tex]1080cm^2[/tex] of paint is needed.

~lenvy~

Answer:

Rs 200

Step-by-step explanation:

100/104×Rs 208

Rs 200

S.P = 208

4%×208=8.32

208-8.38=199.68

Therefore, C.P = ₹199.68

so approximately C.P = ₹200

The loss in producer surplus as a result of the tax given the information in the diagram is  $9000.

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product

The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax

Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)

12000  - 3000 = $9000

Please find attached the complete question. To learn more about surplus, please check: https://brainly.com/question/25816093

The area of a parallelogram is the product of:

   --> length of the base and the height

Thus the area = 7 * 5 = 35 square feet

Hope that helps!