A rectangle has a length of 12.6 m and a width of 6.3 m. A similar rectangle has a width of 2.1 m. What is the length of the similar rectangle?

Answer:

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers ( non-negitive integers). The simplest and most common form of mathematical induction proves that a statement involving a natural number that holds for all values.

Answer:

(2x + 3)(x + 1)

Step-by-step explanation:

you didn't show them, the factors are

(2x + 3)(x + 1)

Answer:

[tex](x+1)(2x+3)[/tex]

Step-by-step explanation:

[tex]2x^{2} +5x+3[/tex]

[tex]2x^{2} +3x+2x+3[/tex]

[tex]x(2x+3)+2x+3[/tex]

[tex](x+1)(2x+3)[/tex]

Answer:

cost for adults=$8.29

cost for children=$6.47

cost for 2 adults and 4 children are =$(2×8.29)+(4×6.47)=$16.58+25.88=$42.46

Answer:

(2,6) and (-1,3)

Step-by-step explanation:

Hi there!

We're given the system of equations:

y=x+4

y=x²+2

and we need to solve the system

You may first notice that both equations are equal to y, so we can set them to equal each other via a property known as transitivity (if a=b and b=c, then a=c)

x²+2=x+4

subtract x from both sides

x²-x+2=4

subtract 4 from both sides

x²-x-2=0

we can factor the polynomial

the numbers that add up to -1 and multiply to get -2 are -2 and 1

(x-2)(x+1)=0

solve

x=2, x=-1

both values of x work- so we'll have 2 solutions in this case

now we need to solve for y; we can do this by substituting the value of x into one of the equations to solve for y

let's use y=x+4

so if we'll use x=2,

y=2+4

y=6

one solution will be (2,6)

and if we use x=-1

y=-1+4

y=3

and the other will be (-1,3)

Hope this helps! :)

Answer:

[tex]ma = \frac{2m}{3}[/tex]

Step-by-step explanation:

Multiplication of an scalar by a fraction:

We consider the multiplication of a fraction by a symbolic scalar the same as the multiplication of a fraction by any other numbers, that is, multiplication of the numerators divided by the multiplication of the denominators.

In this question:

Fraction 2/3

Scalar m

[tex]\frac{2}{3} \times m = \frac{2m}{3}[/tex]

So

[tex]ma = \frac{2m}{3}[/tex]

9514 1404 393

Answer:

  zero solutions

Step-by-step explanation:

The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.

The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.

There is a gap between the shaded areas, so no points will be solutions to both inequalities.

Answer: 170°

Step-by-step explanation: 8x +34 - (6x-22) =90 ==> 2x +56 =90 ==> x = 17 ==> góc R = 8*17 +34 = 170°

Answer:

a) 0.00136008

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of any other customer. Thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

9.8% of his customers buy a magazine

This means that [tex]p = 0.098[/tex]

What is the probability that exactly 5 out of the first 10 customers buy a magazine?

This is [tex]P(X = 5)[/tex] when [tex]n = 10[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{10,5}.(0.098)^{5}.(0.902)^{5} = 0.00136008[/tex]

Thus, the correct answer is given by option A.

Answer:

45°

Step-by-step explanation:

mLA : mLB : mLC = 1:2:1 => 1+2+1=4 (equivalent with 180°)

so, mL2 = mLC = 1/4 ×180° = 45°

Answer:

k = 9/4

Step-by-step explanation:

To find k, use the equation

y = kx

Pick a point

72 = k *32

Divide each side by 32

72/32 = k

9/4 = k

Answer:

k = 9/4

Step-by-step explanation:

Here , we have given equation and we need to find k.

To find k, we have given equation which is y = kx

pick any point from the table and substitute in the equation.

y = kx

We choose :- x = 8 and y = 18

18 = 8 × k

Divide each side by 8

18/8 = k

9 / 4 = k

Answer:

C

Step-by-step explanation:

Let us first write an equation. Using the SOHCAHTOA rule, we should know that the tangent of an angle equals it's [tex]\frac{opposite}{adjacent}[/tex]. The opposite of our given 20° angle is 9, and the adjacent side is x.

[tex]tan(20[/tex]°[tex])=\frac{9}{x}[/tex]

[tex]0.364=\frac{9}{x} \\x=\frac{9}{0.364}\\x=24.7[/tex]

C

I hope this helps! Let me know if you have any questions :)

Answer:

350

Step-by-step explanation:

Use PEMDAS.

[tex]300+45-9*2+22-1+2[/tex]

300+45-18+22-1+2

345-18+22-1+2

327+22-1+2

349-1+2

348+2

350

Answer:

question unclear

Step-by-step explanation:

this is unclear I have no idea what this

Answer:

I would say D

Step-by-step explanation:

if there was a 33 oz. bottle and Pedro uses it all for the car, maybe the other 3 oz is from the actual container and not the liquid inside.

Given the quadratic function below:

[tex] \large{f(x)= - {x}^{2} - 4x - 19}[/tex]

To find f(-9), simply substitute x = -9 in the function.

[tex] \large{f( - 9) = - {( - 9)}^{2} - 4( - 9) - 19} \\ \large{f( - 9) = - 81 + 36 - 19} \\ \large{f( - 9) = - 100 + 36 \longrightarrow \large \boxed { \purple{f( - 9) = - 64}}}[/tex]

Answer

Let me know if you have any doubts regarding the function.

Answer:

The choose (D)

[tex] {g }^{ \frac{5}{6} } [/tex]

The expression equivalent to [tex]\sqrt[6]({g}^{5})[/tex] is [tex]g^{\frac{5}{6} }[/tex].

The number of times a number has been multiplied by itself is referred to as an exponent. It could be an integer, a fraction, a negative integer, or a decimal. Powers or indices are other names for exponents. For instance, 6⁵ indicates that we are multiplying 6 by five. It is 6 × 6 × 6 × 6 × 6 in its expanded form.

The expression is [tex]\sqrt[6]({g}^{5})[/tex].

[tex]\sqrt[6]{g}[/tex] can be written as [tex]g^{\frac{1}{6} }[/tex].

Then the given expression can be written as [tex]g^{\frac{5}{6} }[/tex].

Therefore, the expression equivalent to [tex]\sqrt[6]({g}^{5})[/tex], g > 0 is [tex]g^{\frac{5}{6} }[/tex]. So, option D is correct.

Learn more about exponents here -

https://brainly.com/question/27850853

#SPJ2

Answer:

The total bill is $6900 because 69 is a man which hair is multi colour

Answer:

55 chairs

Step-by-step explanation:

825/15=55

Answer:

y = 1/4x - 4

Step-by-step explanation:

The slope is four points behind the origin, so we subtract -4 from the equation:

y = 1/4x - 4

use two points on the line to find the slope:

(0,-4) (4,2)

Slope = change in y over change in x

Slope = (2 - -4) / (4-0) = 6/4 = 3/2

Y-intercept is the y value when x is 0, the line goes through y=2 at x = 0, so the t intercept is 2

The equation is:

Y = 3/2x + 2

Answer:

[tex](a)\ x = 1.25 \± 0.02[/tex]

[tex](b)[/tex]

[tex]Minimum = 1.23in[/tex]

[tex]Maximum = 1.27in[/tex]

Step-by-step explanation:

Given

[tex]L = 1.25in[/tex] --- Length

[tex]E=0.02in[/tex] -- Margin of error

Solving (a): The equation of the length

This is calculated as:

[tex]x = L \± E[/tex]

So, we have:

[tex]x = 1.25 \± 0.02[/tex]

Solving (b): The range of value of x

In (a), we have:

[tex]x = 1.25 \± 0.02[/tex]

Split:

[tex]x = 1.25 - 0.02[/tex]         [tex]x = 1.25 + 0.02[/tex]

Solve for x

[tex]x = 1.23[/tex]         [tex]x = 1.27[/tex]

So, we have:

[tex]Minimum = 1.23in[/tex]

[tex]Maximum = 1.27in[/tex]

Answer:

Step-by-step explanation:

Using distance formula (search it up, it's BIG) we start by plugging in the coordinates. the second x coordinate minus the first x coordinate is equal to -2 - - 4. You can't subtract a negative from an negative, so you add them.  We change it to -2 + + 4 which equals 2. According to the distance formula (look it up), we square that (meaning it's equal to 4) and add it to the y value. The y value is equal to the second y coordinate minus the first y coordinate. This is represented by -3 - 0. This equals -3, but according to the distance formula, we square it which makes it equal to 6. Now, what do we do with the numbers 6 and 4? Following the distance formula, we add them which is equal to 10. Now we are left with the square root of 10 according to the distance formula. Your answer is the square root of 10 or in decimal form, 3.162277......... I hope this helped!

Step-by-step explanation:

hear Is your answer check

Answer:

I guess it's False...Hope it helps you.

Answer:

true

Step-by-step explanation:

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

Explanation:

The y is a placeholder for a number. In this case, we'll replace it with 4.

So [tex]5y^2 - 10[/tex] becomes [tex]5(4)^2-10[/tex]

Use the order of operations PEMDAS to simplify

[tex]5(4)^2-10\\\\5(16)-10\\\\80-10\\\\70\\\\[/tex]

Therefore, [tex]5y^2-10\\\\[/tex] evaluates to 70 when y = 4.

Put another way, the equation [tex]5y^2-10 = 70\\\\[/tex] has one solution that is y = 4.

Answer:

xy = 12

Step-by-step explanation:

The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.

xy = (8 + 16)/2

xy = 24/2

xy = 12

Answer:

x = 5

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 10x - 1 + 78 + 53 = 180

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation we created

10x - 1 + 78 + 53 = 180

Combine like terms

10x + 130 = 180

Subtract 130 from both sides

10x = 50

Divide both sides by 10

x = 5

Answer:

x=2 and y=1

Step-by-step explanation:

Add the two equations to remove "y" and solve for x:

4x+8y=16

6x-8y=4

________

10x=20

x=2

Plug x=2 into one of the original equations to get the value of "y":

4x+8y=16

4(2)+8y=16

8+8y=16

8y=8

y=1

Therefore, x=2 and y=1

Answer:

5 overtime hours

Step-by-step explanation:

Given that :

Pay per hour = 240

Overtime pay = 1 1/2 * pay per hour = 1 1/2 * 240 = 360 per hour

Amount earned for the week = 11400

Let overtime hours = x

Total hours worked = 40 + x

Earning for the week based on hours worked :

240(40) + 360x = 11400

9600 + 360x = 11400

360x = 1800

x = 1800 / 360

x = 5 hours