Which monomials are perfect squares? Select three options.

6x2
9x8
17x9
25x12
36x16

Answer:

Step-by-step explanation:

$135 is less than or equal to 2 nights at the hotel (h)

135</=2h

Answer:

42000*1.04^(n-1)

Step-by-step explanation:

4% is equal to 0.04, a raise is 1+0.04=1.04

1.04 is now the number we are multiplying by to get a new yearly salary for Harmony.

42000*1.04^(n-1) since n is how many years after she has the job you have to raise it to the power and subtract one.

Answer:

40%

8%

15%

37%

Step-by-step explanation:

The solutions are in the image

There are four numbers of 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.

The coins to select from are nickels, dimes, quarters, and half-dollars;

Thus;

Coins (n) = 4

The number of coin to select is:

Coin (r) = 3

The coin combination is then calculated using:

Combination = ⁴C₃

Apply the combination formula, we have;

Combination = 4

Thus, there are four number 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.

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Answer:

12

Step-by-step explanation:

took the exam

It is the definition of  Midpoint

Disclaimer!!!

The question is incomplete and the correct question is shown below

What definition would justify the following statement?

If T is the midpoint of segment RS then, Segment RT is congruent to segment TS..

If t is the midpoint of segment rs then, segment rt is congruent to segment ts. is the definition of the midpoint

The line segment of a triangle connecting the midpoint of two sides of the triangle is said to be parallel to its third side and is also half the length of the third side, according to the midpoint theorem.

Hence It is the definition of the midpoint

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Answer: C:  Definition of Midpoint

Step-by-step explanation: Hope that helped!

The average height is [tex]5feet[/tex] and [tex]11.5[/tex] inches if Allen is [tex]5 feet 9 inches[/tex] tall and Terrel is [tex]6 feet 2 inches[/tex] tall.

How to find the average height ?

Allen height is [tex]5feet ,9inches[/tex]

Terrel height is [tex]6feet,2inches[/tex]

And we know that [tex]1feet=12inches[/tex]

So Allen height is

[tex]=5*12+9\\=60+9\\=69 inches[/tex]

And Terrel height is

[tex]=6*12+2\\=72+2\\=74inches[/tex]

Average of the Allen and Terrel height is

[tex]\frac{69+74}{2\\} \\=143/2\\=71.5inches[/tex]

And average height in feet is  [tex]5feet,11.5inches[/tex]

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Answer:

59

Step-by-step explanation:

Angle degrees in a triangle add up to 180

66+55+x=180

121+x=180

x=59

Answer

59°

Step-by-step explanation:

A triangle's angles add up to 180°.

So to find the last angle of the shape, you need to add the given angles and then subtract the answer from 180° looking like this:

66° + 55° = 121°

180° - 121° = 59°

The measure represents the standard deviation of the sample means and is used in place of the population standard deviation when the population parameters are unknown is; t-test.

A hypothesis test for a population mean when In the case that the population standard deviation, σ, is unknown, carrying out a hypothesis test for the population mean is done in similarly like the population standard deviation is known. A major distinctive property is that unlike the standard normal distribution, the t-test is invoked.

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Answer:

standard error of the mean

Step-by-step explanation:

Plato/Edmentum

Answer:

3.Tan(45)=n/2

1=n/2

n=2

Cos(45)=2/m

1/√2=2/m

m=2√2

5.Sin(60)=x/14

√3/2=x/14

14√3/2=x

x=7√3

Cos(60)=y/14

1/2=y/14

y=7

The portion of the mixture that is fruit to the nearest hundredth is 10.00 ounces

12 ounce juice:

= 70/100 × 12

= 0.7 × 12

= 8.4 ounces

Water = 30%

16 ounces;

= 10/100 × 16

= 0.1 × 16

= 1.6 ounces

Portion of mixture that is fruits = 8.4 ounces + 1.6 ounces

= 10.00 ounces

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Answer:

29 years

Step-by-step explanation:

[tex]f(x)= 200(0.5)^\frac{140}{50}}[/tex]

From here I'll just use a calculator & get 28.7, or 29 years.

A variable that can only take on specific numeric values is called  A discrete random variable.

According to the statement

A variable which is used to select a specific numeric value and we have to find a those variable

A discrete random variable is one which may take on only a countable number of distinct values.

So, A variable that can only take on specific numeric values is called  A discrete random variable.

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The slope of both lines is mathematically equivalent to

[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]i

Generally, the equation for Slope is  mathematically given as

[tex]S= dy / dx[/tex]

Therefore

[tex]Slope of PQ = \frac{(z - v)}{(x - w)}[/tex]

[tex]S of P'Q' =\frac{ (z + b - (v + b))}{((x + a) - (w + a))}\\\\S of P'Q' =\frac{ (z - v)}{(x - w)}[/tex]

The slopes of both lines are equivalent to

[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]

In conclusion, The slope of both lines is equivalent to

[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]

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Answer:

A: z - v | x - w

Step-by-step explanation:

Answer:

  (a)  6√3, 6√7

Step-by-step explanation:

The right triangles shown are all similar, so corresponding sides are proportional. This gives rise to three "geometric mean" relations between the various lengths.

Using P, F, L, and H to represent the points marked Park, Football field, Library, and Home, the relations are ...

  PF/FH = FL/PF   ⇒   PF = √(FH·FL)

  PL/FL = HL/PL   ⇒   PL = √(FL·HL)

  PH/HL = HF/PH   ⇒   PH = √(HL·HF)

(a) The distance from the park to the library is ...

  PL = √(FL·HL) = √(12·9) = 6√3 . . . miles

(b) The distance from the football field to the park is ...

  PF = √(FH·FL) = √(21·12) = 6√7 . . . miles

Answer:

5

Step-by-step explanation:

-2x - y = -3

y = -3x + 2

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

-2x + 3x - 2 = -3

x = -1

y = -3*-1 + 2 = 5

Answer:

75

Step-by-step explanation:

Use PEMDAS (Perenthesis, Exponents, Multiply, Divide, Add, Subract)

45/5-6+24*3

9-6+24*3

9-6+72

3+72

75

Answer:

75

Step-by-step explanation:

PEMDAS:

45/5=9

24*3=72

9-6+72=75

Answer:

15 triangles.

Step-by-step explanation:

just count them eventually you will reach there.

The scientific notation of 6.3 is written as 6.3 × 10^0; option A

Therefore, since there are only two significant number in 6.3, the decimal point can not be moved.

6.3 in scientific notation

= 6.3 × 10^0

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Answer: A

Explanation: 6.3 x 10^0

the minimum surface area for the box is 4800 cm².

Forming the Equation of SurfaceArea

It is given that the given rectangular box is square-based and top is open. hence, it consists of  square and 4 rectangles.

Let the side of the square be a, and height of the box be h.

Then, the total surface area of the box will be given by,

S = a² + 4ah _________ (1)

Also, it is given that the volume of the box is, V = 32000 cm³

The volume of the rectangular box, V = a² h

Eliminating One of the Variables From the Equation

The volume of the rectangular box, V = a² h

⇒ a² h = 32000

⇒ h = 32000/a² _______ (2)

Substituting this value of h in equation (1), we get,

S = a² +4a(32000/a²)

S = a²+128000/a

Minimizing the Surface Area Equation

To find the minima, put, dS/da = 0

dS/da = 2a-128000/a²

⇒ 2a-128000/a² = 0

Multiplying the whole equation with a², we get,

2a³-128000 = 0

⇒ 2a³ = 128000

⇒ a³ = 128000/2

⇒ a³ = 64000

⇒ a = 40 cm

Calculating the Minimum Surface Area

From, equation (2), h = 32000/(40)²

h = 32000/1600

h = 20 cm

Now, substituting the computed values of a and h in equation (1), we get,

S = (40)² +4(40)(20)

S = 1600 +3200

S = 4800 cm²

∴ The minimum surface area of the box is 4800 cm².

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Answer:

last choice

Step-by-step explanation:

The domain is the set of x values: from -3 to 3.

The range is the set of y values: from 1 to 10.

Answer: last choice

The greatest Common factor of monomials  [tex]33c[/tex]  and  [tex]27c^4[/tex] is  [tex]3c[/tex]

How we can find the GCF of monomials ?

Monomials are [tex]33c[/tex] and [tex]27c^4[/tex]

We can write the monomials in fraction form

[tex]33c=11*3*c[/tex]

[tex]27c^4=3*9*c*c*c*c[/tex]

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

So we can see the common factor is [tex]3c[/tex]

The Greatest Common Factor of [tex]33c ,27c^4[/tex] is [tex]3c[/tex]

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Answer: There are only 90 two-digit numbers. It shouldn’t take long to write them out and count them

Step-by-step explanation:

Answer:

45 numbers

Step-by-step explanation:

The 10-digit numbers are 10-99. We can manually write them out to start and see if we can find a pattern.

We can start 10-19: The numbers that have one odd digit and one even digit at 10, 12, 14, 16, 18 (since 1 is odd, we can only pick the numbers that have an even unit digit)

Next, we move on to 20-29: The numbers that follow the property are 21, 23, 25, 27, 29

Both of these examples have 5 numbers that follow the property. We can notice that all of the subsequent clusters (30-39, 40-49, 50-59, 60-69, 70-79, 80-89, 90-99) will also have 5 each. The numbers that start with an odd number will have the same unit digits as the 10-19 cluster, and the numbers that start with an even number will have the same unit digits as the 20-29 cluster. Observe:

30-39: 30, 32, 34, 36, 38

40-49: 41, 43, 45, 47, 49

50-59: 50, 52, 54, 56, 58

60-69: 61, 63, 65, 67, 69

70-79: 70, 72, 74, 76, 78

80-89: 81, 83, 85, 87, 89

90-99: 90, 92, 94, 96, 98

In all, there are 9 clusters of numbers, and each one has 5 numbers that follow the property. Therefore, the total is 9*5 or 45 numbers

Answer:

line segment AC (hypotenuse)

Step-by-step explanation:

The Pythagorean Theorem states that the sum of squares of the base/height of the triangle will equal the hypotenuse squared which is what c is equal to. So the c would represent the hypotenuse which is the side from the points A to C in the diagram.

Yes we can prove that in the group of more than two people that there are at least two people that have the same number friends given the condition here.

Let us create a variable P. P is an individual called Joe. Now Joes seems to know all at this party. This tells us that all at this party should at least know him.

We have the set  {1,2,...n-1} , given that the minimum number of persons that one person knows is 1.

Let us assume we have Harry. Harry is a party crasher who came to the party. Hence it is possible that someone like Joe that knows all at the party may not even know him. Hence the maximum persons that a person would know is given to be n. The set would then be {0, 1,...,n-2}.

There are n elements in the 2 sets that we have above. Given that n people are at this function, and there are n possibilities for the number that one person can know of the participants, then we can say that at least two people can then know equal number of persons at the party.

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Answer: 32

Step-by-step explanation:

The line is straight meaning 180 angle. When finding B you subtract 148 by 180 which would be 32.

The formula is illustrated below:

It should be noted that a cylinder simply means a three dimensional solid which holds two parallel bases that are joined by a curved surface.

In this case, it can be seen that the formula that can be used to calculate the volume and the surface area of the cylinder is illustrated above.

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Work:

First it's a rectangle so its area is equal to the product (multiplication) of both sides of the rectangle (dimensions). A = a x b = ab

NOW: knowing the the circumference or perimeter is equal to 400m, we can say that P = 400 = 2(a+b) = 2a + 2b since the given polynom is rectangle. 2a + 2b = 400 <==> 2a = 400 - 2b <==> a = 200 - b.

We gave an expression of a in function of b. Now we can replace the variable a by 200 - b in the first expression of the area.

A = ab = (200-b)b = 200b-b^2 = -b^2 + 200b

A is now a quadratic equation. We note A(b) the epression -b^2 +200b so:

A(b) = -b^2 +200b

We can already see that A is a quadratic equation of the form:

ax^2 + b + c. The a coefficient is negative which will lead to closed parabola when looking from the top. Now we need to find the maximum of the function by using the derivatives:

A(b) = -b^2 +200b <==> A'(b) = -2b + 200b

and -2b + 200b = 0 <==> b = 100;

So the derivative function crosses the x-axis at (100; 0).

So is increasing over ]-∞; 100] and decreasing over [100; ∞[.

We obtain a maxima on (100; x) with A. To find it we need to replace 100 by b in the function A.

A(b) = -b^2 + 200b

<==> A(100) = -100^2 + 200 x 100 = - 10000 + 20000 = 10000

Now let's find a: if b = 100 what equals a ?

We know that ab = 10000 <==> 100a = 10000 <==> a = 100;

And we verify that ab = 100 x 100 = 10000.

The rectangle needs to be a square to reach the maximum area of 10000m^2 or also 0.01 km^2.

Q.E.D.

Answer:

x=1

Step-by-step explanation:

1 + 1/3 = 4/9

1/3 also equals 3/9

hope this helped :)

Answer :

Step-by-step explanation :

>> (3 × x + x / 3) = 4 / 9

>> (3x + x / 3) = 4 / 9

>> (4x / 3) = 4 / 9

>> 4x × 9 = 3 × 4

>> 36x = 12

>> x = 12 / 36

>> x = 6 / 18

>> x = 3 / 9

>> x = 1 / 3

Answer: no, it's not similar because we cannot multiply it by any factor that the ratio will be the

Step-by-step explanation: