what’s the biggest number 7.06 or 7.9

Answer:

x=16

y=10

Step-by-step explanation:

(8x-14) + (5y+16) =180, because together they make a straight line.

(5x+34) = (8x-14), because they are alternate exterior angles.

Solve for x:

48=3x

x=16

Let's plug that into the first equation, then solve for y.

(8(16)-14) + (5y+16) =180

128-14+5y+16=180

130+5y=180

5y=50

y=10

Answer:

A = 2; B = 3; C = -3

Step-by-step explanation:

The curve goes to negative infinity as x decreases and positive infinity as x increases.

This looks like a 3rd degree polynomial.

f(0) = -3

f(x) = Ax^B + x + C

f(0) = A(0^B) + 0 + C = -3

C = -3

f(x) = Ax^B + x - 3

f(1) = A(1^B) + 1 - 3 = 0

A - 2 = 0

A = 2

f(x) = 2x^B + x - 3

f(1.125) = 2(1.125)^B + 1.125 - 3 = 1

2(1.125)^B + 1.125 - 3 = 1

2(1.125)^B = 2.875

(1.125)^B = 1.4375

log (1.125)^B = log 1.4375

B × log (1.125) = log 1.4375

B = (log 1.4375)/(log 1.125)

B = 3

f(x) = 2x^B + x - 3

Answer: A = 2; B = 3; C = -3

The question is a spam as the correct question should be:

Which transformations could have taken place to map △ABC to △A"B"C".

The following answer has been given keeping in mind the above question.

The transformations that should have been taken place are a rotation and a dilation.

What is a rotation?

Rotation is when we rotate a figure to a certain degree. In a rotation, points and figures are turned on a coordinate plane. Majorly, rotations are about to the origin. Rotating a point about the origin can be, imagine a line connecting the origin to a point, and then rotate the line clockwise by the correct angle of rotation.

What is a dilation?

Dilation is a process of transformation in which something can be made larger or smaller. In a dilation, a point, a set of points can be expanded or contracted in relation to the origin. In expansion, the points in a figure move far away from the origin, and the side lengths of the figure increase. In a contraction, the points of the figure move closer to the origin, and the side lengths in the figure tend to reduce.

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Yes. Parabola is possible to write an equation in the form f(x) = (x-a)(x-b)

Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

A parabola can be described in the form of a general equation

[tex]y=ax^{2} +bx+c[/tex], with a, b, c is integers.

The form f(x)=(x-a)(x-b) can be made in other forms :

[tex]y=(x-a)(x-b)[/tex]

[tex]y=x^{2} -bx-ax+ab[/tex]

[tex]y=x^{2} -(b+a)x+ab[/tex]

That form of the equation is the same as : [tex]y=ax^{2} +bx+c[/tex]

With :  

a = 1

b = -(b+a)

c = ac  

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The evergreen tree grew 2.4 feet taller the next year.

Percentage can be derived by dividing the given value by the total value, and then multiplying the result by 100.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

It is given by:

Percentage = (given value / total value) * 100%

From the question, the tree has a base height of 20m, if it grew 20% taller then;

tree height = 12 x (20/100)

tree height = 12 x 0.2

tree height = 2.4

Therefore, the tree grew 2.4 feet taller the next year.

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Therefore width = 10cm

                 height = 20cm

                 length = 20cm

given that

volume = 4,000[tex]cm^{3}[/tex]

let height = h

    width = w

    length = l

width and length are equal

height = length = h

volume of box = height × width × height

             4000  = h × w × h

             4000 = [tex]h^{2}[/tex]w

                  w = 4000/[tex]h^{2}[/tex]

surface area(SA) = area of base + sum of area of each side

                           =  [tex]h^{2}[/tex] + hw + hw + hw + hw

                           =  [tex]h^{2}[/tex] + 4hw

substitute y = 4000/[tex]h^{2}[/tex]

SA =  [tex]h^{2}[/tex]  + 4x(4000/ [tex]h^{2}[/tex] )

SA =  [tex]h^{2}[/tex]  + 16000/h

Taking the derivative:

SA' = 2h - 16000/ [tex]h^{2}[/tex]

making SA' = 0:

0 = 2h - 16000/ [tex]h^{2}[/tex]

2h = 16000/ [tex]h^{2}[/tex]

2[tex]h^{3}[/tex] = 16000

[tex]h^{3}[/tex] = 8000

h = 20 cm

w = 4000 /  [tex]h^{2}[/tex]  = 4000 / 20² = 10 cm

Therefore width = 10cm

                 height = 20cm

                 length = 20cm

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Hence, the factors of [tex](10x+1)^2=100x^2+1+20x[/tex].

What are the factorization?

Factorisation or factoring is defined as the breaking or decomposition of an entity into a product of another entity, or factors, which when multiplied together give the original number.

Here given expression is

[tex]100x^2+1[/tex]

[tex](10x)^2+(1)^2[/tex]

[tex](10x+1)^2[/tex]

As we know that,

[tex](a+b)^2=a^2+b^2+2ab[/tex]

Here

[tex]a=10x\\b=1[/tex]

So,

[tex](10x+1)^2=(10x)^2+(1)^2+2(10x(1))\\\\(10x+1)^2=(10x)^2+(1)^2+20x\\\\(10x+1)^2=100x^2+1+20x[/tex]

Hence, the factors of [tex](10x+1)^2=100x^2+1+20x[/tex].

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The factors of the expression 100x² + 1 are (10x+i) (10x-i).

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

The given expression is 100x² + 1.

The given expression is a quadratic function.

The standard form of quadratic function:

ax²+bx +c, where a is not equals to zero.

Comparing with the standard form we get,

a = 100, b = 0 and c = 1

Simplifying,

100x² + 1

=  100x² - (-1)

= (10x)² - (-1)

= (10x)² - (i)²   ,{i² = -1}

= (10x+i) (10x-i)

Therefore, (10x+i) (10x-i) are the factors.

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Answer: It would be -48

Step-by-step explanation: Hope it helps:)

Answer:

68, 68, 44

x = 68

x - 24 = 44

Step-by-step explanation:

If you have a shape with three interior angles, it is a triangle. The three angles in a triangle add up to 180. Use this idea to write and solve an equation.

x + (x - 24) + 68 = 180

Combine like terms.

2x + 44 = 180

Subtract 44.

2x = 136

Divide by 2.

x = 68

So we can find x - 24

68 - 24 is 44.

The three angles are 68 (given), 68 (because x = 68), and 44 (because x-24)

The angles are 68, 68, and 44

The Linear equations can have 2 or more answers if the lines overlap each other .

In the question ,

it is asked that can two linear equations have 2 answers or solutions .

We know that ,

(1) two linear equations can have No Solution / Zero Solution if two lines are parallel .

(2) two linear equations can have One Solution/Unique Solution if two line intersect at a point .

(3) two linear equations can have infinitely many solution if lines overlap on each other .

So from (3) , we can conclude that linear equations can have 2 or more solutions when the line are overlapping .

Therefore , Yes, the linear equations can have two answers .

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The required sample size of the given problem with a margin of error of at most 0.01 in a 99% confidence interval is 16590.

A margin of error is a factual estimation that records for the distinction among genuine and extended brings about an irregular overview test. In less complex terms, the margin of error you to measure the degree of unconventionality in information and exploration results.

Let p be the population proportion of cyanobacteria.

Given : E = 0.01

Critical value for 99% confidence interval : z = 2.576

If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.

Now, the required sample size = n

⇒0.5(1 - 0.5)([tex]\frac{2.576}{0.01}[/tex])^2

⇒ 0.25(257.6)^2

⇒ 0.25(66357.76)

⇒ 16589.44 ≈≈ 16590

Thus, the size of sample is 16590.

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Using system of linear equations, the number of students in year book is 25 and that of film making are 39

System of linear equations can be defined as the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.

Using variables x and y to represent to unknown values;

x + y = 64 ...eq(i)

x = 14 + y ...eq(ii)

Put eq(iii) into eq(i)

14 + y + y = 64

14 + 2y = 64

2y = 64 - 14

2y = 50

y = 25

Put y = 25 into eq(ii)

x = 14 + 25

x = 39

The number of students in film making is 39 and year book is 25

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Answer:

Z= -3

Step-by-step explanation:

-6z-3z=27

-9z=27

/-9.   /-9

z= -3

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The permutation combination of license plate is 35152000.

Numbers can be 10 digits (0, 1, 2, …, 9) and 26 letters (A, B, C, ..., Z).

Repetition is allowed, leaving 26 next choices for each letter used and 10 next choices for each digit used.

Therefore, according to the multiplication principle, the total number of different letter permutations.

26× 26 × 26 = 17576

and the total number of digit permutation: 10 × 10 × 10 = 1000

now,  they can be in any order:

⁶C₃ = 6!/(6−3)!3!

We have to consider 20 different combinations of positions.

So the total number of different license plates possible by the multiplication principle is

17576 × 1000 × 20 = 351520000

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The leftmost three digits of nn would be 816.

Solution:

The two-digit perfect squares are $16, 25, 36, 49, 64, 81$. We try making a sequence starting with each one:

The largest is 81649, so our answer is [816].

The leftmost three digits of nn would be 816.

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Answer:

Step-by-step explanation:

x=-40

Answer:

D=74

D solution 8.60233

Step-by-step explanation:

This cannot be furtherly simplified because the sum or difference of 2b+8 depends upon the value of b.

An expression is combination of variables, numbers and operators.

The given expression is 2b+8.

In the given expression b is the variable and 2 is the coefficient of the variable b. eight is the constant value and plus is the operator.

As there is a plus sign we need to add the two terms 2b and 8.

We do not know the value of b so we cannot simplify the expression further. The value of 2b plus eight depends upon the value of b, if it is positive then we add two terms and if it is negative we use difference,

Hence, the sum or difference of 2b+8 depends upon the value of b and cannot be furtherly simplified.

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Answer:

Therefore, when s is equal to 30, t is equal to 30 / 5 = <<30/5=6>>6.

Step-by-step explanation:

Direct variation means that the ratio between two variables is always constant. In this case, the constant ratio between s and t is equal to 20/4 = 5. This means that when t is equal to 4, s is equal to 20 and the ratio between the two is 5. If s is equal to 30, we can find the corresponding value of t by setting up the following equation:

s / t = 5

We can then solve for t by multiplying both sides of the equation by t to get:

s = 5 * t

If we substitute 30 for s, we get:

30 = 5 * t

We can solve for t by dividing both sides of the equation by 5:

t = 30 / 5

Therefore, when s is equal to 30, t is equal to 30 / 5 = <<30/5=6>>6.

Answer:

The length of the side of the square should be 10ft

Step-by-step explanation:

Calculation of the length of the side:

Since A square has an area of 40 square feet.

As we know that the square does have 4 sides

So, the length of the side of the square should be

40 divided by 4

= 10ft

The Variable x varies inversely with y, and x = 132 when y = 4 then the value of x is 16.5 when y = 32.

So, the correct option is option(D).

Inverse variation can be expressed by the formula, xy=k or y=kx

That is, if there is a non-zero constant k such that xy = k or y = kx (x≠0,y≠0), then y varies inversely with x.

We have given that,

x varies inversely with y and we need to find x when y = 4 when x = 132

X varies inversely with y there exist a constant of proportionality say k such that :

=> (x)(y) = k ----(1)

Put the value of x and y in equation (1) to find the value of k

=> (132)(4) = k

Therefore, k = 528 , We get

=> (x)(y) = 528

Now, we find x when y = 32, so plug the value of y in equation (1)

=> (x)(32) = 528

=> x = 528/32

=> x = 16.5

Hence, the value of x is 16.5 when y = 32 .

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Using the formula of surface area to calculate the height and using the formula for volume , The answer is 24.98 [tex]cm^{3}[/tex] .

A cone is a three-dimensional geometric structure with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex.

The required formula are :

[tex]SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})[/tex]  (Surface Area)

[tex]V = \pi r^{2} \frac {h}{3}[/tex] (Volume)

radius = 3 cm

Area= 66 [tex]cm^{2}[/tex]

[tex]SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})[/tex]

h = 2.65 cm

[tex]V = \pi r^{2} \frac {h}{3} = \pi * 3^{2} * \frac {2.65}{3}[/tex]

=24.98 [tex]cm^{3}[/tex]

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Answer: Second Pic, Probably the third.

Step-by-step explanation: little bit of guesswork

Three rules that prove two triangles are similar  AA, SAS, SSS.

When two shapes in geometry have the same shape but different sizes, they are said to be comparable. A square with sides of 21 cm and one with sides of 14 cm would be comparable. A square with sides of 14 cm and an equilateral triangle with sides of 21 cm are not comparable because they are different shapes.

Applying three triangle-specific theorems makes it simple to distinguish between similar triangles.

In geometry, correspondence refers to the exact relationship between a specific part on one polygon and a part that is similarly positioned on another polygon.

These theorems knows as

Angle-Angle (AA) = Two pairs of corresponding angles are equal.

Side-Angle-Side(SAS) = Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Side-Side-Side(SSS) = Three pairs of corresponding sides are proportional.

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The remainder of 5x³ + 7x +57 over x+2  is 3.

What is expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Given expressions are 5x³ + 7x +57 and x+2.

Remainder theorem: According to the remainder theorem, the remainder equals f(a) when a polynomial, p(x), is divided by (x - a).

Assume that P(x) = 5x³ + 7x +57.

Equate x + 2 to zero and find the value of x:

x + 2 = 0

x = -2

Putting x = -2 in the polynomial P(x) = 5x³ + 7x +57:

P(-2) = 5(-2)³ + 7(-2) +57

P(-2) = 5(-8) + 7(-2) +57

P(-2) = -40 - 14 +57

P(-2) = 3

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Answer:

9/20

Step-by-step explanation:

hope it helps!

Could you please give me brainliest for this? Thank you!