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The sum of an integer and its square is 210. Find the integer. Include a completer
solution

The area of the wings of the model is 100000 square centimeters

The given parameters are:

Scale factor, k = 1/2

Actual area of wings, A = 40 square meters

The model area is calculated as

Model area = Actual area * k^2

This gives

Model area = 40 * (1/2)^2

Evaluate

Model area = 10 square meters

Convert square meters to square centimeters

Model area = 10 * 10000 square centimeters

Evaluate

Model area = 100000 square centimeters

Hence, the area of the wings of the model is 100000 square centimeters

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The polynomial's maximum value is relative.

Here we have the polynomial:

[tex]V(x) = 36x^2 - 3.75x^3[/tex]

Notice that the leading coefficient is negative, so, as x tends to negative infinite, V(x) will tend to positive infinite.

So we only have a relative maximum, because is local maximum (at x = 6.4), but the function can take larger values than that.

You can also check that on the graph of V(x), which you can see below:

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The current drawn by 9 identical motors will be 124.2 amps current

Current is the flow of electrical charge carriers like electrons. Current flows from negative to positive points. The SI unit for measuring electric current is the ampere (A). One ampere of current is defined as one coulomb of electrical charge moving past a unique point in a second.

since , one motor of 2hp draws = 13.8 amps current

hence , 9 identical motor will pull = 13.8 * 9 (each will pull same amount of current )

                                                         = 124.2 amps current

The current drawn by 9 identical motors will be 124.2 amps current

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The total amount that roland paid for the ticket is $27.60

Given that the price of an all-access ticket to the fair is $42.99 before tax. Roland bought the all-access ticket for 40% off.

We need to calculate the total amount paid by the roland

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100

The price after 40% off -

= 42.99*60% = $25.794

Sales tax on 25.794

= 25.794*7% = $1.80558

Total amount Paid for the ticket

= 1.80558 + 25.794 = $27.59958

= $27.60

Hence the total amount paid by roland is $27.60

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Answer:

C

Step-by-step explanation:

Graph C is the only one that has a y-intercept of (0, -16):  note that when x = 0, y = 0^2 - 6(0) - 16, or y = -16 when x = 0.

The larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60. This can be obtained by forming algebraic equation and finding

Given that one number is 4 more than another,

⇒x = y + 4              (equation (1))

Their sum is 60,

⇒x + y = 60

y + 4 + y = 60      (From (1))

2y + 4 = 60

2y = 56 ⇒ y = 28

x = y + 4 = 28 + 4 = 32

Hence the larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60.

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Answer:

a = 1500     b = .97

Step-by-step explanation:

1500 ( .97)^x       = bone density after n years

                              3% loss leave 97% each year   (.97 in decimal)

Answer:

Graph B is not linear.

Step-by-step explanation:

This question asks for a linear relationship. Graph B is not linear.

Please look closely at the attached images where I gave graphed these points.

I hope this helps. Please let me know if you have questions.

Answer:

1.

a.) 24in

b.)75.36in

c.)452.16in

Step-by-step explanation:

1a. The radius is half of the diameter, so all you have to do is add 12 + 12 which is 24.

1b. the circumfrence of a circle is C (Circumfrence)=[tex]2\pi r[/tex] so replace radius for 12 and then do 3.14(pi) x 2 which will get you 6.28 times 6.28 by 12 and you will get 75.36.

1c. Area=[tex]\pi r^{2}[/tex] so first do the radius by the second power, or [tex]r * r[/tex], susitute r for 12 and you will get 144, times 144 by pi and you will get 452.16in

Sorry I could not answer every question but hope this helps!

-8.(2a - 1) = 36

-16a + 8 = 36

-16a = 36 - 8 = 28

a = 28/(-16) = -7/4

The correct answer is -7/4 = -1.75

The solution to the given equation is [tex]\frac{-7}{4}[/tex].

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context. An expression is a combination of numbers, variables, or a combination of numbers and variables, and symbols and it is connected by the sign of equal.

We have,

Expression -8(2a - 1) = 36

So,

Now,

To get the solution to this expression,

i.e.

-8(2a - 1) = 36

Rewrite it as,

i.e.

Opening Brackets,

We get,

-16a + 8 = 36

Now,

Taking variable terms on one side and other terms on another side,

We get,

-16a = 36 - 8

On solving we get,

-16a = 28

i.e.

a = [tex]\frac{-28}{16} = \frac{-7}{4}[/tex]

So,

The solution to the given equation is [tex]\frac{-7}{4}[/tex].

Hence, we can say that the solution to the given equation is [tex]\frac{-7}{4}[/tex].

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Answer:

23/35

Step-by-step explanation:

there's 12 red cards and 23 black cards

total = 35 cards

probability  to  pick a black card = 23/35

Answer: 23/35

Step-by-step explanation:

Probability is the measure of the likelihood of an event occurring. It is measured by the number of favorable outcomes over the total number of possible outcomes.

Here, the event is a black card being drawn. Since there are 12 + 23 = 35 cards in the deck, there are 35 possible outcomes of what card is picked. Out of those 35 cards, 23 are black, making 23 of the 35 options be the option we want.

23 black cards out of 35 total cards can also be written as [tex]\frac{23}{35}[/tex], which is the probability that a black card is chosen.

Answer:

original price $75

discount $18.75

sale price $56.25

Step-by-step explanation:

I found a pair of dress pants for $75.

Since the discount is 25%, then the discount is

25% of $75 = 0.25 × $75 = $18.75

The sale price is the original price, $75, minus the discount, $18.75.

$75 - $18.75 = $56.25

There can be 18, 12, 9, 6, 4 , 3 or 2 students on each team depending on the number of teams selected.

Considering there are at least 2 teams but no more than 19 teams, let's calculate the number of students in each case:

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Answer:

in a triangle prism each cross section parallel to the triangular base is a triangle congruent to the base

The solution of the system would be (3,6).

Lets solve the problem,

Other equation: y = 1/3x+5

Slope-Intercept Form: y = mx + b

Slope Formula:

y2-y1/x2-x1 = m

Have to find equation now:

m = (6 - 5)/(3 - 0)

m = 1/3

y = 1/3x + b

5 = 1/3(0) + b

b=5

y = 1/3x + 5

Lets put the substituition method here,

1/3x + 5 = -1/3x + 7

2/3x + 5 = 7

2/3x = 2

x = 3

y = 1/3(3) + 5

y = 1 + 5

y = 6

Therefore the coordinates are (3,6)

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Answer:

Line LM

Step-by-step explanation:

Answer:

A line is a straight path on a plane that extends forever in both directions with no endpoints.

The answer will be lineLM

Answer:

20.8

Step-by-step explanation:

Just use the The Pythagorean Theorem

which is a^2+b^2=c^2

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Answer:

screenshot attached of graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

The jo's drink have stronger pineapple taste.

Given that fruit punch calls for 333 liters of orange juice and 222 liters of pineapple juice and Jo creates a drink by mixing 444 liters of orange juice with 333 liters of pineapple juice.

In the Recipe for fruit punch calls

The Number of liters of orange juice = 333.

The Number of liters of pineapple juice = 222.

Thus, Total number of liters of juice = 222+333= 555 liters

Now, % of pineapple juice in fruit punch is

P₁=(222/555)×100

P₁=0.4×100

P₁=40%

Further, % of orange juice in fruit punch is

O₁=(333/555)×100

O₁=0.6×100

O₁=60%

In Jo's drink

The Number of liters of orange juice = 444.

The Number of liters of pineapple juice = 333.

Thus, Total number of liters of juice = 444+333= 777 liters

Now, % of pineapple juice in jo's drink is

P₂=(333/777)×100

P₂=0.43×100

P₂=43%

Further, % of orange juice in jo's drink is

O₂=(444/777)×100

O₂=0.57×100

O₂=57%

Hence, the taste of both drinks was not the same, jo's drink will have a stronger pineapple taste and jo's drink will have a lesser orange taste.

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Answer:

33.3

Step-by-step explanation:

The scale factor is 2/3.

The ratio of the surface areas is the square of the scale factor, so the surface area of the smaller cone is 75(2/3)², which is about 33.3 cm²

The graph that is used to represent this probability distribution is the graph of b.

In mathematics and the field of statistics, the probability is used tp denote likelihood of an event occurring.

The sample space is given as

S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}.

X=0, the Probability of having Orange(O), in GGG  is given to be 1/8

X=1, we have to get the probability, in G G O , GOG,and O G G, this gives a total of 3 =  3/8

X=2, Probability of Orange O, in GOO , OGO, oog =   3/8

X=3, Probability of Orange O in all is also given as 1. Hence the probability is = 1/8

A spinner has two equal sections, one green and one orange. The spinner is spun three times, resulting in the sample space S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}. If the random variable X represents the number of times orange, O, is spun, which graph represents the probability distribution?

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You would multiply the change per hour by number of hours to get -2h

That would be added to the starting temperature.

Answer: B, t = -2h + 32

Answer: The answer is B

Step-by-step explanation:

The question says it drops ( which means subtraction) by 2 degrees every hour, so -2h

Answer:   y = -x + 2

Step-by-step explanation:

Point slope form is y - y = m(x - x)

m = the slope of the line

Slope-intercept form is y = mx + b

m = the slope of the line

b = y-intercept

So because the - is in the m spot in the point-slope form, that means that is the slope of the line meaning it will also be in the m spot in slope-intercept form. The y-intercept of the line is found when x is 0.  When we look at the two coordinates provided you can see that one of them shows when x is 0.  We see that when x is 0, y is 2  which means that the y-intercept is 2.

So when you put the 2 in place of b,  you get   y = -x + 2

Answer: 22 ft

Step-by-step explanation:

Answer:

58.3%

Step-by-step explanation:

7/12 = 0.583333333

0.583333333 simplified is 58.3%

Answer:

Approximately 58.3%.

Step-by-step explanation:

7/12 ≈ 0.583

0.583 = 58.3%

Answer:

Yes

Step-by-step explanation: The answer is Side Angle Side (SAS)