William Smith is choosing artisan bonsai trees. She has 15 different variants of bonsai trees and would like
to use 7 of them. How many different selections of the 7 bonsai trees are possible?

Answer:

  thousands place: 4th one to the left of the decimal point, 1000.

Step-by-step explanation:

You want the number place of a 1 that has a value 100 times that of the 1 in 314.

The digit 1 in the number 314 is in the "tens place." It signifies 1 ten is part of the value of the number 314.

The value of a digit 1 that is 100 times that will be ...

  10 × 100 = 1000

That is, the digit will be found in the "thousands place," two digits to the left of the location in the number 314.

The 1 with a value of 1000 is written in the thousands place, the 4th place to the left of the decimal point.

According to the question, the given points for the expression of the quadratic function are as: (2, 1) (-1, -2).(3,-10)

The standard form of the quadratic equation is: f(x) =  [tex]ax^{2} +bx+c=0[/tex]

Using coordinate points the quadratic equation can be written as:

[tex]ax^{2} +bx+c=0[/tex] ⇒[tex]4a+2b+c=0[/tex]; [tex]a-b+c=0[/tex]; [tex]9a+3b+c=0[/tex]

Solving above three equation by the method called substitution and calculated the values of the variable. The calculated values are zero.

Therefore, the formed quadratic function is not quadratic function.

What is quadratic function?

The quadratic function is the polynomial expression and the formed curve is parabola on the graph. The direction of the parabola is either downward or upward or in the direction of left or right. It represent the equation steepness.

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[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{5}{2}}(x-\stackrel{x_1}{(-6)}) \implies y +2= \cfrac{5}{2} (x +6) \\\\\\ y + 2 = \cfrac{5}{2}x + 15\implies y = \cfrac{5}{2}x+13[/tex]

The value of V-E+F=2

Euler's polyhedron formula, V−E+F=2

A hexagonal prism has 8 faces, F=8

A hexagonal prism has 12 vertices, V=12

A hexagonal prism has 18 edges, E=18

So, 12−18+8=2

V-E+F=2 is Euler's polyhedron formula.

F=8 for a hexagonal prism with 8 faces

V=12 is the number of vertices in a hexagonal prism.

E=18 is the number of edges on a hexagonal prism.

So, 12−18+8=2

A hexagonal prism is a three-dimensional prism with two parallel ends that have the same size and form. The hexagonal prism has six parallelogram-shaped faces on its six sides. Regular hexagonal prisms and irregular hexagonal prisms are the two types of hexagonal prisms. A hexagonal prism is a polyhedron with 8 faces, 18 edges, and 12 vertices, with 6 faces in the shape of rectangles and 2 faces in the shape of hexagons.

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The sum of 0.47 and 0.2 is 0.67

From the question, we are to determine the sum of the given decimal numbers.

The numbers are 0.47 and 0.2

In the first model, we have 4 tenths and 7 hundredths

and

In the second model, we have 2 tenths and 0 hundredths

Adding the tenths

4 tenths + 2 tenths = 6 tenths

Adding the hundredths

7 hundredths + 0 hundredths = 7 hundredth

Putting the results together, we get

6 tenths and 7 hundredths

That is,

0.67

Hence, the sum of 0.47 and 0.2 is 0.67

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Answer:

the answer would be D. x/7=9

Step-by-step explanation:

-

the polynomial with x equal to 3. - 9x+5  The solution, which is an integer, is -22.

An integer is a whole number that is not a fraction and can be positive, negative, or zero. Integers include -5, 1, 5, 8, 97, and 3,043 as examples. Some instances of numbers that are not INTEGERS.

A fraction is a numerical value that is a part of an entire. A whole is evaluated by breaking it down into various components.. For instance, 12 represents a half of a full number or item.

in accordance with the stated fact;

-9x+5

put x=3 in given equation;

-9(3)+5

=-27+5

=-22

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The amount at the end of three years is 1.06 times the initial amount.

Rate = 2%

Time = 3 Years

Let the principal amount be P

Simple interest = P * R * T

SI = ( P * 2 * 3 ) / 100

= 6P/100

= 0.06P

Amount = P + SI

= P + 0.06P

= P(1 + 0.06)

= 1.06P

The amount at the end of three years is 1.06 times the initial amount.

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Answer:

Step-by-step explanation:

According to the question, to calculate the total amount after one year with the addition of the compounded quarterly.

The standard formulas as well as the given parameters are written as below:

Principal = p dollars ; Rate of interest = 2 percent ; Time = 1 year

Now, compound interest formula:

CI = P(1+r/n)^nt and Amount = CI + P

Now, substituting the values in the above expression to calculate the final amount:

Amount = P(1+r/4) +P = Pr/4

Therefore, the ending balance in terms of principal amount is Pr/4.

What is compound interest?

Compound interest is the interest amount on the principal amount which was given three times in a year. And it is in terms of half yearly, quarterly and annually. It is extra amount paid by the bank.

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Answer:

60

Step-by-step explanation:

from triangle 1:

59+45+∠a = 180

∠a = 180-59-45 = 76

∠a+44+∠b = 180

∠b = 180-∠a-44 =  180-76-44 = 60

in triangle 2:

∠?+60+∠b = 180

∠? = 180-∠b-60 = 180-60-60 = 60

∠? = 60

Answer: 40

Step-by-step explanation: c o w

Answer:

Step-by-step explanation:

Answer: x=120; y=170.

Step-by-step explanation:

1) it is possible to make up the  the system of two equations from these two given equations:

[tex]\left \{ {{5x+7y=1790} \atop {x+y=290}} \right.[/tex]

2) the solution of the system above:

[tex]\left \{ {{5x+7y=1790} \atop {5x+5y=1450}} \right. \ = > \ \left \{ {{2y=340} \atop {x+y=290}} \right. \ = > \ \left \{ {{y=170} \atop {x=290-y}} \right. \ = > \ \left \{ {{y=170} \atop {x=120}} \right.[/tex]

3) finally, (120;170).

Given:

y=0, y+10+10  

statement of equality between two expressions consisting of variables and/or numbers

to solve the equation y+10+10, if y=0

substitute the value y=0, in the equation

which is equal to y+10+10= 0 +10 + 10 = 20

so the final answer is 20.    

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12th term of the geometric sequence is 97,656,250

In the given statement is:

Find the 12th term of the geometric sequence 2,10,50

What is Geometric Sequence?

A Geometric Sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Now, to find the 12th term of geometric sequence:

Formula of Geometric Sequence:

[tex]a_{n} =a_{1}r^n^-^1[/tex]

[tex]a_{1}=2\\ \\[/tex]

r = 10/2 =5

[tex]a_{12}=2(5)^1^2^-^1\\ \\a_{12}=2(5)^1^1\\\\\\a_{12}=2(48,828,125)\\ \\a_{12} = 97,656,250[/tex]

Therefore, 12th term of the geometric sequence is 97,656,250

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Answer: 7004

Step-by-step explanation:

i used a calculator queen

Answer:

7004

Step-by-step explanation:

Answer:

Hope this helps :)

1. 25 ÷ 5 = 5

2. 25

---- <----- fraction bar means divide too

5

1. 90 ÷ 5 = 18

2. 90

---- <------- fraction bar means divide too

5

Answer:

16.1 is the answer

Step-by-step explanation:

17.0-0.9= 16.1

Answer:

16.1

Step-by-step explanation:

take 0.9 from 17=16.1

Answer:

3^5

Step-by-step explanation:

substract the index of the number

The area of the original fountain was 16π square yards at the Palace of Versailles due to the radius of the fountain on a scale of 1 : 4.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

The radius of the fountain using a scale of 1 : 4 in New York

The area of the fountain in New York is 1,600π square yards.

To determine the area of the original fountain at the Palace of Versailles

We can write this as a ratio as

A₁ : A₂ =  πr² :  π(4r)²

A₁ : 1,600π  =  πr² :  π(4r)²

A₁ / 1,600π  =  πr² /  π(4r)²

A₁  =  (πr²/ π 16r²)(1,600π )

A₁  = 1,600π/16

A₁  = 16π square yards

Therefore, the area of the original fountain was 16π square yards at the Palace of Versailles.

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Answer:

[tex]\textsf{d)} \quad \dfrac{5}{6}, \quad \dfrac{25}{6}[/tex]

Step-by-step explanation:

Given:

[tex]12 \cos \left(\dfrac{2 \pi}{5}x\right)+10=16, \quad \textsf{when}\; \left(\dfrac{2 \pi}{5}x\right)\; \textsf{is in radians}.[/tex]

Subtract 10 from both sides of the given equation:

[tex]\implies 12 \cos \left(\dfrac{2 \pi}{5}x\right)=6[/tex]

Divide both sides of the equation by 12:

[tex]\implies \cos \left(\dfrac{2 \pi}{5}x\right)=\dfrac{1}{2}[/tex]

Take the inverse of cosine of both sides:

[tex]\implies \dfrac{2 \pi}{5}x = \cos^{-1}\left(\dfrac{1}{2}\right)[/tex]

[tex]\implies \dfrac{2 \pi}{5}x =\dfrac{\pi}{3}+2 \pi n, \dfrac{5 \pi}{3}+2 \pi n[/tex]

Multiply both sides by 5:

[tex]\implies 2 \pi x=\dfrac{5 \pi}{3}+10 \pi n, \dfrac{25 \pi}{3}+10 \pi n[/tex]

Divide both sides by 2π:

[tex]\implies x=\dfrac{5 \pi}{6 \pi}+\dfrac{10 \pi}{2 \pi}n, \dfrac{25 \pi}{6 \pi}+\dfrac{10 \pi}{2 \pi}[/tex]

Simplify:

[tex]\implies x=\dfrac{5}{6}+5n, \dfrac{25}{6}+5n[/tex]

The two smallest possible solutions for x are when n = 0:

[tex]\implies x=\dfrac{5}{6}, \quad x=\dfrac{25}{6}[/tex]

Answer:

===========================

Given line

Convert this into slope-intercept form:

The slope is 35

The quadrant in which the angle theta as described in the task content is located is; Quadrant II.

It follows from the task content that the angle theta described has; it's tan value to be negative and it's sine value to be positive.

Hence, since only sine of angles is positive in quadrant II while tan and cosine values are negative, it follows that the quadrant where theta is located is; Quadrant II.

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The area of a triangle with the given base and height is 4 1/6 square inches.

Given that, the base of a triangle is 1 2/3 inches and the height of a triangle is 5 inches.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Now, the mixed fraction 1 2/3 can be written as 5/3

The area of the triangle=1/2 × 5/3 × 5

To multiply the fractions multiply the numerators of the fraction and write the product in the numerator and multiply the denominators of the fractions and write the product in the denominators.

That is, (1/2 × 5/3) × 5/1

=5/6 × 5/1

=25/6

=4 1/6

So, the area of a triangle with a base of 5/3 inches and height 5 inches is 4 1/6 square inches.

Therefore, the area of a triangle with the given base and height is 4 1/6 square inches.

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hi

amount before tax :

21.55+2.25+3.89+1.95 = 26.94

as sales tax is 6.25 /100 = 0.0625  

then amount of tax is :  26.94 *0.0625 ≈ 1.68

Answer:

i think yes but do whatever you want