a town wants to install 28 solar panels in an array what are the possible ways the panels could be installed

Yo sup??

This question can be solved by applying the properties of similar triangles

the triangle with sides 5x and 20 is similar to the triangle with sides 45 and 36

therefore we can say

5x/45=20/36

x=5 units

Hope this helps

(13x6)+89 with the power of 2 is 7999

Answer:

[tex]50w+100 \ge 18000[/tex]

Step-by-step explanation:

Each seven-letter word is worth 50 points. [tex]w[/tex] words are then worth [tex]w\times50=50w[/tex].

Since Sal gets 100 points for playing the game, his points total after [tex]w[/tex] words is [tex]50w +100[/tex]. If he wants to break the record, he must get, at least, 18000 points. "At least" in inequality means [tex]\ge[/tex] (just as "at most" means [tex]\le[/tex]). Then the required inequality is

[tex]50w+100 \ge 18000[/tex].

Note that the question says "18000 or more", which is why we used the [tex]\ge[/tex] symbol. If the phrase had been "more than 18000", we would have used [tex]>[/tex].

Answer:

The higher you go in the good chain the lower the population.

Explanation:

In the food web, there are only a few sharks since in the food chain they are higher. Just 10% energy is retained in the tissues once the energy is moved from one trophic level to another, and the leftover power is emitted as metabolic energy.

If an animal is high up the energy ladder, the individual has less resources; thus, a few of the highest predators are present in an ecosystem.

Answer:

because there are more sharks than seals in the area

Step-by-step explanation:

To find the difference in the total number of glue sticks that Mr. Davis and Ms. Wilson purchased, subtract the number of glue sticks each person bought from one another.

To find the difference in the total number of glue sticks that Mr. Davis and Ms. Wilson purchased, we can subtract the number of glue sticks each person bought from one another.

Mr. Davis bought 5 packages of glue sticks, and each package has a certain number of glue sticks in it.

Ms. Wilson bought 8 packages of glue sticks, and each package also has a certain number of glue sticks in it.

To find the difference, subtract the total number of glue sticks from Mr. Davis from the total number of glue sticks from Ms. Wilson.

For example, if each package of glue sticks contains 4 glue sticks, Mr. Davis purchased 5 x 4 = 20 glue sticks. Ms. Wilson purchased 8 x 4 = 32 glue sticks. The difference is 32 - 20 = 12 glue sticks.

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Answer:

  (n -4)(n +1)^2 = n^3 -2n^2 -7n -4

Step-by-step explanation:

The least common denominator is the smallest denominator that lets you write the sum as a single fraction.

  [tex]\dfrac{n^5}{n^2+2n+1}+\dfrac{-4}{n^2-3n-4}=\dfrac{n^5}{(n+1)^2}+\dfrac{-4}{(n+1)(n-4)}\\\\=\dfrac{n^5}{(n+1)^2}\cdot\dfrac{n-4}{n-4}+\dfrac{-4}{(n+1)(n-4)}\cdot\dfrac{n+1}{n+1}=\dfrac{n^5(n-4)-4(n+1)}{(n+1)^2(n-4)}\\\\=\dfrac{n^6-4n^5-4n-4}{n^3-2n^2-7n-4}[/tex]

The least common denominator is ...

  (n-4)(n+1)^2 = n^3 -2n^2 -7n -4

Answer:

98 degrees

Step-by-step explanation:

m<H = 45, m<F = 53

180 = 45 + 53 + (180-x)

82 = 180-x

x+82 = 180

x = 98

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees. This means that

Angle F + angle G + angle H = 180

Therefore,

53 + 45 + angle G = 180

98 + angle G = 180

Subtracting 98 from the left hand side and the right hand side of the equation, it becomes

98 - 98 + angle G = 180 - 98

angle G = 82 degrees

The sum of angles on a straight line is 180 degrees. Therefore,

x + 82 = 180

Subtracting 82 from the left hand side and the right hand side of the equation, it becomes

x + 82 - 82 = 180 - 82

x = 98 degrees

Answer:

Area = 823 * 534 = 439,482 ft^2

Step-by-step explanation:

Answer: the length of Maria's piece of string is 45 inches.

the length of Katy's piece of string is 39 inches

Step-by-step explanation:

Let x represent the length of Maria's piece of string.

Let y represent the length of Katy's piece of string.

When they put the two pieces of string together end to end, the total length is 84inches. This means that

x + y = 84 - - - - - - - - - - - -1

Maria's string is 6 inches longer than Katy's. This means that

x = y + 6

Substituting x = y + 6 into equation 1, it becomes

y + 6 + y = 84

2y + 6 = 84

2y = 84 - 6 = 78

y = 78/2 = 39

x = y + 6 = 39 + 6

x = 45

Answer:

57

Step-by-step explanation:

(f•g)(x) = f(x)•g(x)

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

= 8x²-20x+6x-15

= 8x²-14x-15

(f•g)(4) = [4(4)+3] [2(4)-5]

= (16+3)(8-5)

= 19 • 3

= 57

Answer:

57

Step-by-step explanation:

got it correct on test. :)

Answer:

Total magnification of microscope at this setting is 40X

Step-by-step explanation:

Total magnification of microscope is determined by multiplying the magnification power of individual lenses.

So if eyepiece has magnification power of 10X and objective lense has magnification power of 4X , the total magnification of microscope would be

10 × 4 = 40

which means the object will appear 40 times larger than actual object.

The total magnification of the microscope at this setting is 40X.

To determine the total magnification of a compound microscope, one needs to multiply the magnification power of the eyepiece by the magnification power of the objective lens. In this case, the eyepiece has a magnification power of 10X and the objective lens has a magnification power of 4X.

The formula for the total magnification [tex]\( M_{total} \)[/tex] is given by:

[tex]\[ M_{total} = M_{eyepiece} \times M_{objective} \][/tex]

Substituting the given values:

[tex]\[ M_{total} = 10X \times 4X \][/tex]

[tex]\[ M_{total} = 40X \][/tex]

Therefore, the total magnification of the microscope when using the 10X eyepiece and the 4X objective lens is 40X. This means that the image seen through the microscope will appear 40 times larger than its actual size.

Answer:

The correct answer for this equational ratio is x = 5

Step-by-step explanation:

In order to calculate for x, we must create the necessary ratios

[tex]\frac{16}{20} = \frac{45-5x}{5x}[/tex]

Cross multiply to get

900 - 100x = 80x

900 = 180x

x = 5

Answer:

C. 2

Step-by-step explanation:

Given:

[tex]\frac{5}{12}x-\frac12=\frac13[/tex]

We need to solve the equation to find the value of x.

Solution:

[tex]\frac{5}{12}x-\frac12=\frac13[/tex]

Combining like terms we get;

[tex]\frac{5}{12}x=\frac13+\frac12[/tex]

Now Using LCM for making the denominators same we get;

[tex]\frac{5}{12}x=\frac{1\times2}{3\times2}+\frac{1\times3}{2\times3}\\\\\frac{5}{12x}=\frac{2}{6}+\frac{3}{6}[/tex]

Now Denominators are common so we solve the number we get;

[tex]\frac{5}{12}x=\frac{2+3}{6}\\\\\frac{5}{12}x=\frac{5}{6}[/tex]

Now Dividing both side by [tex]\frac{12}{5}[/tex] we get;

[tex]\frac{5}{12}x\times \frac{12}{5}=\frac{5}{6}\times \frac{12}{5}\\\\x=2[/tex]

Hence the value of x is 2.

Answer:

94

Step-by-step explanation:

Jen has

Answer:142

2

+2

Step-by-step explanation:

After 10 s, the bucket has rotated [tex]180^{\circ}[/tex]

Step-by-step explanation:

The motion of the bucket on the water wheel is a periodic motion, which means that it repeats itself periodically. The period of the motion is the time it takes for the bucket to returns to its original position: it can be found from the graph by looking at after how much time the graph has again the same shape.

We see that if we  start from x = 0 seconds, then the graph has the same shape again (=it has completed one full cycle) at x = 20 seconds, so the period is

T = 20 s

This also means that in a time of 20 seconds, the bucket has covered a full revolution, so an angle of

[tex]\theta=360^{\circ}[/tex]

Therefore, in order to find how many degrees x the bucket has rotated in

t = 10 s

We  can use the rule of three:

[tex]\frac{\theta}{T}=\frac{x}{t}[/tex]

And solving for x, we find

[tex]x=\frac{\theta t}{T}=\frac{(360)(10)}{20}=180^{\circ}[/tex]

Learn more about periodic motions:

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Answer:

The shark are fed [tex]\frac16 \ ton[/tex] of fish during the night.

Step-by-step explanation:

Given:

Weight of fish fed in the morning = [tex]\frac{2}{15}\ ton[/tex]

Also Given:

During the afternoon feeding the weight of fish fed will be 1/15 of a ton more than the fish fed during the morning.

Weight of fish fed in the afternoon = [tex]\frac{2}{15}+\frac{1}{15}=\frac{2+1}{15}=\frac{3}{15}\ ton[/tex]

Total fish fed in whole day = [tex]\frac12 \ ton[/tex]

We need to find the Weight of fish fed in the night.

Solution:

Now we can say that;

Weight of fish fed in the night can be calculated by by subtracting Weight of fish fed in the morning and Weight of fish fed in the afternoon from Total fish fed in whole day .

framing in equation form we get;

Weight of fish fed in the night = [tex]\frac{1}{2}-\frac{2}{15}-\frac{3}{15}= \frac{1}{2}-(\frac{2}{15}+\frac{3}{15})=\frac{1}{2}-\frac{2+3}{15}= \frac{1}{2}-\frac{5}{15} = \frac{1}{2}-\frac{1}{3}[/tex]

Now we will use LCM for making the denominator common we get;

Weight of fish fed in the night = [tex]\frac{1\times3}{2\times3}-\frac{1\times2}{3\times2} = \frac{3}{6}-\frac{2}{6}[/tex]

Now denominator are common so we will solve the numerators.

Weight of fish fed in the night = [tex]\frac{3-2}{6}=\frac16 \ ton[/tex]

Hence The shark are fed [tex]\frac16 \ ton[/tex] of fish during the night.

Answer: the rate of the wind is 6.2 mph

Step-by-step explanation:

Let x represent the rate of the wind.

Joe traveled against the wind in a small plane for 3hours. If the speed of the plane in still air is 180 mph, then the total speed with which the plane flew is

(180 - x) mph

Distance = speed × time

Therefore, distance travelled against the wind is

3(180 - x)

= 540 - 3x - - - - - - - - - - - - - -1

The return trip with the wind took 2.8 hours.

the total speed with which the plane flew is

(180 + x) mph

Therefore, distance travelled with the wind is

2.8(180 + x)

= 504 + 2.8x - - - - - - - - - - - - - -2

Since the distance is the same, then

540 - 3x = 504 + 2.8x

540 - 504 = 2.8x + 3x

5.8x = 36

x = 36/5.8 = 6.2

Answer: The height of the tree is 12.57 ft.

Step-by-step explanation:

The height of a thing is proportional to the its shadow.

Let H = Height and S = length of shadow

Then by equation direct proportion , [tex]\dfrac{H_1}{S_1}=\dfrac{H_2}{S_2}[/tex]       (i)

Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft ​long.

Put [tex]S_1=22 ,\ H_2= 4,\ \ S_2=7[/tex]  in (i), we get

[tex]\dfrac{H_1}{22}=\dfrac{4}{7}\\\\ H_1=\dfrac{4}{7}\times22\approx12.57[/tex]

Hence, the height of the tree is 12.57 ft.

What the user said above!

Final answer:

By substituting x with 14 in each option, it is determined that option D, which is f(x) = x + 9, is the correct function where f(14) equals 23.

Explanation:

The student is asking to find the function for which f(14)=23. To answer this, we substitute x with 14 in each of the given options and see which one results in f(x) being equal to 23.

Substitute x=14 in f(x)=12x−20: f(14)=12(14)−20=168−20=148, which is not 23.

Substitute x=14 in f(x)=14x+23: f(14)=14(14)+23=196+23=219, which is not 23.

Substitute x=14 in f(x)=3x−7: f(14)=3(14)−7=42−7=35, which is not 23.

Substitute x=14 in f(x)=x+9: f(14)=14+9=23, which is the correct answer.

The correct function is D. f(x)=x+9.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-5x -10= -20}\\\\\large\text{ADD 10 to BOTH SIDES}\\\mathsf{-5x - 10 + 10 = -20 + 10}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{-5x = -20 + 10}\\\mathsf{-5x = -10}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\mathsf{\dfrac{-5x}{-5}= \dfrac{-10}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{x = \dfrac{-10}{-5}}\\\\\mathsf{x = 2}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ A. \ 2}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

In this question we are given with an equation that is -5x - 10 = -20 . And we are asked to find it's solution ( value of x ).

Solution : -

[tex] \longmapsto \qquad \: - 5x - 10 = - 20[/tex]

Step 1 : Adding 10 to both sides :

[tex] \longmapsto \qquad \: - 5x - \cancel{10 }+ \cancel{10} = - \bold{20 }+ \bold{10}[/tex]

On further calculations , We get :

[tex] \longmapsto \qquad \: - 5x = - 10[/tex]

Step 2 : Dividing with -5 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{- 5}x}{ \cancel{- 5}} = \cancel{ \dfrac{ - 10}{ - 5} }[/tex]

On further calculations , we get :

[tex] \longmapsto \qquad \: \ \: \pink{\underline{ \boxed{\frak{x = 2}}}}[/tex]

Verifying : -

Now we're verifying our answer by substituting value of x in given equation. So ,

Therefore , our answer is correct .

Answer:

9.6

Step-by-step explanation:

The question is :

Solution;

Let total distance from school to home = 'x' meters

Issa jogged 2/3rd of 'x'= [tex]\frac{2x}{3}[/tex]

So total distance from school to home = [tex]\frac{2x}{3} +3200[/tex]

But total distance from school to home = [tex]x[/tex]

[tex]==> \frac{2x}{3} + 3200 = x[/tex]

[tex]==> 3200= \frac{x}{3}[/tex]

[tex]==> 9600=x[/tex]

So total distance from school to home is 9600 meters

We convert it into km now

we know 1000 meters = 1km

==> 9600 meters = 1/100 x 9600= 9.6 km

Answer:

9.6 or (48\5

Step-by-step explanation:

Answer:

[tex]A = 5 {x}^{2} + 6x + 1[/tex]

Step-by-step explanation:

[tex]A = \frac{(a + b)h}{2} = \frac{(6x - 5 + 4x + 7)(x + 1)}{2} = \frac{(10x + 2)(x + 1)}{2} = \frac{2(5x + 1)(x + 1)}{2} = 5 {x}^{2} + 6x + 1[/tex]

Answer:

(a) and (b) are correct but (c) is not correct

Step-by-step explanation: (c) P(nA)*P(nB) + P(nA/nB)

0.20*0.30 + 0.10 = 0.060 + 0.10 = 0.160

This does NOT represent a function.

There should only be one pair per input and output, but this graph has multiple.

Answer:

  64

Step-by-step explanation:

10 ft is 4 times 2 1/2 ft, so the larger container has dimensions of 4 crates in every direction. That is, it will hold 4^3 crates, or 64 crates.

Answer:

Step-by-step explanation:

Since angle ABD is 133 degrees and the sum of the angles in a triangle is 180 degrees, it means that

m∠ DAB + 133 + 22 = 180

m∠ DAB = 180 - 155 = 25 degrees

Also, ∆ ADC is an isosceles triangle because two of its sides are equal. It also means that the base angles are equal. Thus,

m∠ A = m∠ B

Therefore,

m∠ A + m∠ B + angle D = 180

m∠ A + m∠ B = 180 - 22 × 2

m∠ A + m∠ B = 180 - 44 = 136

m∠ A = m∠ B = 136/2 = 68 degrees

m∠ CAB + m∠ DAB = m∠ A

Therefore,

m∠ CAB = 68 - 25 = 43 degrees

Since ∆ ABC is isosceles, then

m∠ CAB = m∠ ACB

m∠ ACB = 43 degrees

m∠ ABC = 180 - (43 × 2) = 180 - 86

m∠ ABC = 94 degrees

m∠ BCD = 68 - m∠ ACB

m∠ BCD = 68 - 43 = 25 degrees

Answer:

So, 22 batches of cookies can the baker make.

Step-by-step explanation:

A baker has 15 cups of flour.

He sets aside 4 cups.

So, the remaining cups = 15 - 4 = 11

A cookie recipe that calls for 1/2 cup of flour.

So, x batches of cookies can the baker make with 11 cups

Use the ratio and proportional

1 : 1/2 = x : 11   ⇒ multiply both sides by 2

2 : 1 = 2x : 22

solve for x

2x = 2 * 22

x = 22

So, 22 batches of cookies can the baker make.

She can make 22 batches of cookies.

Given that there are 15 cups of flour. The baker sets aside 4 cups.

So remaining (15 - 4) = 11 cups.

Let she can make x batches.

Given each batch takes 1/2 cup.

That means she will need [tex]x\cdot\frac{1}{2}=\frac{x}{2}[/tex] cups.

According to the question:

[tex]\frac{x}{2}=11\\x=22[/tex]

So she can make 22 batches of cookies.

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Answer:

δhsoln will be close to zero.

Step-by-step explanation:

In calculus, the symbol d represents a large or significant increment in a value. For example, say the change in the volume of a liquid in a tank depends upon the change of the height h.

The above statement can be written like this:

dV/dh

This means that the volume of the tank (V) depends with a significant change in the height of the liquid (h).

It is also possible to compute small changes in physical quantities. The symbol δ simply presents a small increment or small change. Using the same expression above, if a very large tank was to have a very very small leak, the change would be: δV/δh

In other words, the change in the volume will be almost negligible and will be close to zero.