A garden store recently sold several types of seed packets.
zucchini 40
pumpkin 21
cucumber 16
Considering this data, how many of the next 99 seed packets sold should you expect to be pumpkin seed packets?

AAA(Angle angle angle) Theorem can be used to prove given triangles as similar.

As we know we have to show all three angles equally.

so we have to show the similarities between T(DNM) and T(DFE) ....

(T Means Triangle.)

(A Means Angle)

As  D is a common vertex in both the triangles

by equations 1, 2, and 3 we can conclude that all three angles of T(DFE) =  T(DNM)

SO By the AAA rule, we can say that the two Triangles are similar.

Now we can say all the sides of T(DFE) will be in all propositions of T(DNM).

Like DN/DF=DM/DE=NM/FE

Learn More Similarities: https://brainly.com/question/14285697

Yes, (3, 2) is an ordered pair.

The combination of the x coordinate (abscissa) and the y coordinate (ordinate) is called an ordered pair, which has two values written in a fixed order within parentheses.

It can help us to locate a point on the cartesian plane for better visual understanding. The numerical values in an ordered pair can be both integers or fractions. 

In the Cartesian plane, we can define a two-dimensional space with two perpendicular reference lines, the x-axis and the y-axis. The point where the two lines meet is the origin (O).

For example plot the point Q with the coordinates (3, 2)

According to the definition of ordered pair, the point Q will be written as:

Q = (3, 2)

The left number in the ordered pair shows the distance from the “x” axis which is 3

The right number shows the distance from the “y” axis which is 2.

To know more about cartesian plane, here

https://brainly.com/question/28574364

#SPJ4

The midpoint method is a numerical integration technique used to approximate the definite integral of a function over a given interval. It is a Riemann sum method.

The line that connects these two places is split in half equally at the halfway. In addition, the halfway is reached if a line is drawn to divide the line that connects these two places. When we know the coordinates of two points, we can apply the midpoint formula to get the midpoint between them.

Here,

The midpoint method is used for a few reasons:

Simplicity: The midpoint method is relatively easy to understand and implement, compared to other numerical integration techniques.

Accuracy: The midpoint method is more accurate than some other Riemann sum methods like the left-hand rule or right-hand rule, which evaluate the function at the endpoints of each subinterval.

Efficiency: The midpoint method is more efficient than some other numerical integration techniques, especially for functions that are not smooth or have sharp changes.

Flexibility: The midpoint method can be used for both definite and indefinite integrals, and for functions that are not well-behaved.

Overall, the midpoint method is a simple, accurate, efficient and flexible numerical integration method that can be used to approximate the definite integral of a function over a given interval.

Learn more about midpoint

brainly.com/question/5566419

#SPJ1

The graph solution is in the attached images, for all the systems of inequalities.

What is the graph of a function?

The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.

The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.

we have the following inequalities:

i)

y > 3x - 17,

y ≤ -4x +11.

ii)

4x - 4y > -40,

-5x + 5y < 10.

iii)

x + 3y ≥ 31,

4x - 2y ≥ -2,.

iv)

5x + y < 3,

5x + y > 37

Hence, the graph solution is in the attached images, for all the systems of inequalities.

To learn more about the graph of a function visit,

brainly.com/question/25950034

#SPJ1

The student's error is that 16 has to be prime factorized as (2)⁴ or 2 × 2 × 2 × 2.

Prime factorization is defined as the method of writing a number as the product of two or more prime numbers.

Prime numbers are numbers which has only two factors, 1 and the number itself.

Given number is 16.

We have to factorize 16 as a product of prime factors.

Student wrote it as,

16 = 2 × 8

The error here is that 8 is not a prime number. We have to again factorize 8 to get the required factored form.

8 = 2 × 4

4 = 2 × 2

So combining all these,

16 = 2 × 2 × 2 × 2

So 16 can be prime factorized as 16 = 2 × 2 × 2 × 2.

Learn more about Prime Factorization here :

https://brainly.com/question/29775157

#SPJ1

The correct option for the area of rectangle is A: 7(x + 2) sq in.

The characteristics of a rectangle were just as follows:

An area is the amount of space a rectangle takes up.By calculating the product of a rectangle's length and breadth, one can get the area of the shape.

So,

Area of a rectangle = Length × Width

Dimension are-

So,

Area of a rectangle = 7 × (x + 2) sq in..

Thus, the expression represents area of a rectangle is 7 × (x + 2) sq in.

To know more about the rectangle and its area, here

https://brainly.com/question/25292087

#SPJ1

The complete question is-

The dimensions of a rectangle are 7 in by (x+2)in. Which expression represents its area?

A: 7(x + 2) sq in..

B: 7 + (x + 2) sq in..

The degree 3 polynomial equation is  1/2(4 - x)(x - 1)(x - 2).

Here given,

With zeros and a coefficient, the function is:

f(x) = a(x - 4)(x - 1)(x - 2)

Regarding the y-intercept:

f(0) = a(0 - 4)(0 - 1)(0 - 2)

4 = a(-4)(-1)(-2)

4 = -8a

a = -1/2

As a result, the function is:

f(x) = -1/2(x - 4) (x - 1)(x - 2)

= 1/2(4 - x)(x - 1)(x - 2)

To learn more about polynomial function refer to :

https://brainly.com/question/24380382

#SPJ1

The total cost of the move when hiring movers for 35 hours is $1221, and the total cost of the move when hiring movers for 10 hours is $546.

To learn more about cost analysis of hiring movers to help with a move refer to:

https://brainly.com/question/25060923

#SPJ1

The compositions between functions f(x) = 3 · x - 2 and g(x) = x + 1 are f[g(x)] = 3 · x + 1 and g[f(x)] = 3 · x - 1, respectively.

Let be f(x) and g(x) functions, there is a composition of the form f[g(x)], when the independent variable of function f is substituted by function g. That is to say:

f ° g(x) = f [g(x)]

First, define functions f(x) and g(x):

f(x) = 3 · x - 2

g(x) = x + 1

Second, perform the required compositions and simplify the expressions:

f[g(x)] = 3 · (x + 1) - 2

f[g(x)] = 3 · x + 1

g[f(x)] = (3 · x - 2) + 1

g[f(x)] = 3 · x - 1

To learn more on composition of functions: https://brainly.com/question/14626983

#SPJ1

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0.

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.

A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form. The three graphs in the image below are all parabolas.

A quadratic function's graph takes the form of a parabola. The parabola will open upward if the value of the "a" term is positive, and downward if the value is negative

A function can be raised by adding outside of it: f (x) + b raises f (x) by b units. The same principles apply for moving a function down, except instead of subtracting a positive integer, f (x) b represents f (x) moved down b units.

You can represent a vertical (up, down) shift of the graph of f(x)=x2 by adding or subtracting a constant, k.

f(x)=x2+k

By increasing or decreasing the output or the input, you can change the direction of the function's graph to the right, left, up, or down. A function's output can be increased to move the graph up. The graph is shifted downward when a function's output is subtracted from.

The output has a constant added to it, which causes the vertical shift. For a positive constant, move the graph upward; for a negative constant, move it below. A constant supplied to the input causes a horizontal shift. For a positive constant, move the graph to the left; for a negative one, move it to the right.

You can represent a horizontal (left, right) shift of the graph of f(x)=x2  by adding or subtracting a constant, h, to the variable x, before squaring.

f(x)=(x−h)2

If h>0, the graph shifts toward the right and if  h<0 , the graph shifts to the left.

To know more about Quadratic function refer to:

https://brainly.com/question/19560160

#SPJ1

Triangle ABC is dilated by a scale factor of 1/2, the line A”B” equals Line AB divided by two

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Translation is the movement of a point up, down, left or right in the coordinate plane.

Dilation is the increase or decrease in the size of a figure.

Triangle A”B”C” is formed using the translation (x+2, y+0) and the dilation by a scale factor of 1/2 from the origin.

Since there is a dilation by a scale factor of 1/2, hence:

A"B" = AB * 1/2

A"B" = AB/2

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer: Well for a family of 6 we spend around 200-300$, so a family of 4-5 if older like teens, or 6-7 for young toddlers.

Answer:

Step-by-step explanation:

104 units

The numeric value for the logarithmic expressions is given as follows:

1. [tex]\log_{6}{\left(\frac{5}{8}\right)} = -0.263[/tex]

2. [tex]\log_6{40} = 2.059[/tex]

3. [tex]\log_6{64} = 2[/tex]

4. [tex]\log_6{125} = 2.694[/tex]

a. [tex]\log_{5}{\left(\frac{11}{30}\right)} = -0.623[/tex]

b. [tex]\log_5{330} = 3.603[/tex]

c. [tex]\log_5{121} = 2.98[/tex]

For the first expression, we have that the logarithm of the quotient is the subtraction of the logarithms, hence:

[tex]\log_{6}{\left(\frac{5}{8}\right)} = \log_6{5} - \log_6{8} = 0.898 - 1.161 = -0.263[/tex]

The same rule is applied for item a, hence:

[tex]\log_{5}{\left(\frac{11}{30}\right)} = \log_5{11} - \log_5{30} = 1.49 - 2.113 = -0.623[/tex]

For the second expression, we apply the logarithm of the product, which is the sum of the logarithms, hence:

[tex]\log_6{40} = \log_6{5 \times 8} = \log_6{5} + \log_6{8} = 0.898 + 1.161 = 2.059[/tex]

For item b, we have that:

[tex]\log_5{330} = \log_5{11 \times 30} = \log_5{11} + \log_5{30} = 1.49 + 2.113 = 3.603[/tex]

For the third expression, we have that the exponent is equals to the base, hence we just take the lower term, as follows:

[tex]\log_6{64} = \log_6{2^6} = 2[/tex]

For the fourth term, we have the rule for the logarithm of an exponent, hence:

[tex]\log_6{125} = \log_6{5^3} = 3\log_6{5} = 3 \times 0.898 = 2.694[/tex]

The same rule is applied for item c, as follows:

[tex]\log_5{121} = \log_5{11^2} = 2\log_5{11} = 2 \times 1.49 = 2.98[/tex]

More can be learned about logarithmic expressions at https://brainly.com/question/28041634

#SPJ1

Answer:

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

Given system:

We can solve it by elimination.

Multiply the first equation by 6 and add up to get:

Without solving for x we can see there is one solution.

The last answer choice is the correct one.

Answer:

The given system of equations has exactly one solution (1, ⁴/₃).

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}-x+6y=7\\6x-30y=-34\end{cases}[/tex]

To solve the given system of equations, multiply all terms of the first equation by 5:

[tex]\implies -x \cdot 5+6y \cdot 5=7 \cdot 5[/tex]

[tex]\implies -5x+30y=35[/tex]

Add this to the second equation to eliminate the term in y:

[tex]\begin{array}{crcccl}&6x & - & 30y & = &-34\\\vphantom{\dfrac12}+ & (-5x & + & 30y & = & \;\;\:35)\\\cline{2-6}\vphantom{\dfrac12}&x&&&=&\;\;\;\;\:1\\\cline{2-6}\end{array}[/tex]

Therefore, x = 1.

Substitute the found value of x into the first equation and solve for y:

[tex]\implies -(1)+6y=7[/tex]

[tex]\implies 6y=8[/tex]

[tex]\implies y=\dfrac{8}{6}[/tex]

[tex]\implies y=\dfrac{4}{3}[/tex]

Therefore, the given system of equations has exactly one solution (1, ⁴/₃).

Answer: Cosine ratios are exactly the same idea of sine ratios or tangent ratios. The only difference between it and the other two trigonometric ratios is that it is the ratio of the adjacent side to the hypotenuse of a right triangle.

By replacing the values of the point in the quadratic equation, we can see that it is not a solution.

Here we have the quadratic equation:

y = 3x^2 + 5

And we want to see if the point 3x^2 + 5 is a solution of the quadratic equation.

To check that, we need to replace the values of the point in the equation and see if the equation is true.

We need to replace:

x = 5

y = 0

We will get:

0 = 3*5^2 + 5

0 = 3*25 + 5

0 = 75 + 5

0 = 80

This is a false equation, then (5,0) is not a solution.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Answer: The fundamental theorem of algebra states that the equation 2x^2+8x+14=0 has at least one complex root, which means that there are numbers that can be plugged into x that make the equation equal to zero. ✅

PLEASEEEE GIVE BRANLIEST

Step-by-step explanation:

The fundamental theorem of algebra states that for any non-constant polynomial equation with real or complex coefficients, there is at least one complex root (or solution).

In the case of the equation 2x^2+8x+14=0, the theorem guarantees that this equation has at least one complex root, which means that there are numbers that can be plugged into x that will make the equation equal to zero.

So, the fundamental theorem of algebra guarantees that for the equation 2x^2+8x+14=0, there exists at least one complex solution that makes the equation true. In this case, the solutions are x = -1+i and x = -1-i ✅

The statement which is correct about the Area of the rectangle in discuss as required is that the area decreased by; Choice C; 33.(3)%.

As evident in the task content; the length of a rectangle increases 2 times and the width decreses 3 times;

Since the initial length can be said to be; l and the initial width can be said to be; w and Area A = l × w.

However, when the length and width change as described; the area of the rectangle is;

Area = 2l × ( w / 3 )

Area = ( 2/3 ) × lw

On this note, the new Area of the rectangle is two-third the initial area.

On this note, the area of the rectangle has decreased by one-third which is equivalent to; Choice C; 33.(3)%.

Read more on area of rectangle;

https://brainly.com/question/16239445

#SPJ1

Answer:

3/4 : 1 1/2    1 2/4 : 3.  5 : 10

Step-by-step explanation:

An infinite solution has both sides equal.

What number has an unlimited number of answers?

There are infinitely many possible solutions to some equations. In these equations, the equation is true regardless of the value given to the variable.

             If you attempt to solve an equation and it yields a variable or value that is equal to itself, then the equation has an endless number of solutions. 2x and 2x should be combined.

Are all possible solutions parallel?

There are no answers when the lines are parallel, and occasionally the two equations will graph as the same line, in which case there are an endless number of solutions. These kinds of systems are occasionally described using specific words.

Learn more about infinitely many solutions

brainly.com/question/29093214

#SPJ4

a) The monthly payment for a loan of $38,000 borrowed by Fred for 5 years at 4% APR is $699.83.

b) The total payment to be made is $41,989.80.

c) The finance charge is $3,989.80.

The finance charge is the difference between the sum of the monthly payments and the loan amount.

The monthly payments, total payment, and finance charge can be computed using an online finance calculator as follows:

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 4%

PV (Present Value) = $38,000

FV (Future Value) = $0

Results:

PMT (Monthly Payments) = $699.83

Sum of all periodic payments (Total Payment) = $41,989.80

Total Interest (Finance Charge) = $3,989.80

Learn more about the finance charge at https://brainly.com/question/3436429

#SPJ1

Answer:

[tex]27)x {}^{3} + 3x {}^{2} - 10x - 24 \\ 28)x {}^{3} - 9 {}^{2} + 8x + 60[/tex]

Step-by-step explanation:

Greetings!!

[tex]27)(x - 3)(x + 2)(x + 4)[/tex]

Expand; (x-3)(x+2): x^2-x-6

Apply FOIL method: (a+b) (c+d) = ac+ad+bc+bd

[tex](x - 3)(x + 2) = x.x + x.2 - 3.x - 3.2[/tex]

simplify

[tex]x {}^{2} - x - 6[/tex]

[tex]x {}^{2} - x - 6.(x + 4)[/tex]

distribute parentheses

[tex] = x {}^{2} .x + x {}^{2} .4 - x.x - x.4 - 6.x - 6.4 \\ = x {}^{3} + 4x {}^{2} - x {}^{2} - 6x - 24[/tex]

simplify/ Add similar elements

[tex]x {}^{3} + 3x {}^{2} - 10x - 24[/tex]

Thus, use the same format for question number 28 and you will get the value

[tex]x {}^{3} - 9x {}^{2} + 8x + 60[/tex]

If you have any questions or there is sth unclear tag me on comment box

Hope it helps!!

Answer: 36

Step-by-step explanation:

80% or 200 is 16

16+20=36

Answer:

Below

Step-by-step explanation:

When it reaches the ground h = 0

h =     0 = -16t^2+676

            16t^2 = 676

             t^2 = 42.25       t = 6.5 s

Answer: x < -4

Step-by-step explanation: This is a question of an inequality. Here, everything proceeds like a normal equation that we solve. To obtain the value of x, we will divide 32 by 8.

  -8x<32

   x<-32/8

   x<-4  (On dividing -32 by 8)

This means x can take any value less than -4 i.e. -5,-6,-7,......

Read more about it:

https://brainly.com/question/27893282

Answer:

the awsner is 20 I believe so don't trust me or trust me i don't care

Step-by-step explanation:

I don't know

Answer:

9/64

Step-by-step explanation:

1 3/4 x (15/4-3 1/2) divided by 1 1/3

2   3/4x1/4 divided by 4/3

3    3/16 divided by 4/3

4     3/16x3/4=9/64

The district restaurant manager divided 3,600 cups among six restaurants, giving each restaurant 600 number of cups.

The district restaurant manager divided 3,600 cups among six restaurants, giving each restaurant 600 cups. The district restaurant manager purchased four cases of disposable cups, each costing $150 and containing 3,600 cups. He needed to split the cups among six restaurants. To determine how many cups each restaurant would receive, he divided 3,600 by 6. This gave him an answer of 600 cups for each restaurant.

3,600 ÷ 6 = 600 cups

The district restaurant manager divided 3,600 cups among six restaurants, giving each restaurant 600 number of cups.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

The Atlantis water slide measures 70.69 feet in length when the slide's base is 37 feet from the pool and it is 60 feet tall.

The Pythagorean Theorem, often known as the Mathematicians, is the fundamental Euclidean geometry relation between the three sides of a right triangle. The area of a cube with the velocity vector side equals the sum of the areas of polygons with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect distance equals a sum of the squares that span its sides. It is sometimes written as the basic algebra notation a2 + b2 = c2.

given

According to Pythagoras's Theorem, which states that

c2 = a2 + b2

c2 = 3600 + 1369

c2 = 4969

c = 70.49, the water slide in Atlantis is 60 feet high and has a base that is 37 feet from the pool.

The Atlantis water slide measures 70.69 feet in length when the slide's base is 37 feet from the pool and it is 60 feet tall.

To know more about Pythagorean theorem visit:

https://brainly.com/question/14930619

#SPJ1