Choose the correct correspondence
1<->
Options
1.< 2
2.< 3
3.< 4

Answer: [tex]46x^2+73x+15[/tex]

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

[tex]A=lw[/tex]

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are [tex](6x+7)[/tex] by [tex](8x+5)[/tex], its area is:

[tex]A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35[/tex]

As they are planning that the dimensions of the mural be [tex](x+4)[/tex] by [tex](2x+5)[/tex], its area is:

[tex]A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20[/tex]

Then the area of the remaining wall after the mural has been painted is:

[tex]A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15[/tex]

Answer:

9.4 units

Step-by-step explanation:

To find the distance between two points D ( 1, 3 ) and H ( 9, 8 ), we can use the distance formula:

d = √(( x₂ - x₁ )² + ( y₂ - y₁ )² )

Substituting the coordinates, we have:

d = √( ( 9 - 1 )² + ( 8 - 3 )²)

Simplifying,

d = √( 8² + 5² )

d = √( 64 + 25 )

d = √89

d ≈ 9.4 units

The distance between point D and H to the nearest tenth is 9.4 units

The distance between two points is the length of the line segment joining them. Since the length of the line segment cannot be negative, the distance between two points is always positive.

The distance between two points is expressed as

S = √ X -x)² + (Y -y)²

= √ 9-1)² + 8-3)²

= √ 8² + 5²

= √ 64 +25

= √89

= 9.4 ( nearest tenth)

Therefore the distance between point D and H to the nearest tenth is 9.4 units

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Answer:

59

Step-by-step explanation:

Substitute.

6 ^ 2 = 36

36 + 23 = 59

Answer:

y = 4

or

y - 4 = 0(x - 3)

Step-by-step explanation:

The points (-2,4) and (3,4) have the same y-value. Because of this, the slope of the line will be 0 and the line will be horizontal. This means the line will have the equation y = b where b is the y-coordinate. The equation of the line is

y = 4.

In point slope form, the equation will have m = 0.

y - 4 = 0(x -3)

Answer:

Faster plane --> 600km/hr

Slower Plane --> 500km/hr

Step-by-step explanation:

Use inequality: 1800/r = 1800/(r-100) + 3/5 and solve to get r = 600, so the plane which is r -100 is 500 km/hr.

Answer:

Parallel :)

Step-by-step explanation:

thats the tea sis.

Answer:

B

Step-by-step explanation:

use the exponent rule of division: you just subtract the exponents if the base is the same, so 4-8=-4

The fraction with a numerator of 3.74 x 10⁻¹⁶ and a denominator of 10⁻³⁰ represented as a single exponential expression is 3.74 x 10¹⁴, obtained by dividing the digit terms and subtracting the exponents.

To represent the fraction as a single exponential expression, you follow the division of exponentials rule, which involves dividing the digit terms and subtracting the exponents of the exponential terms. Given the fraction with a numerator of 3.74 x 10-16 and a denominator of 10-30, you would divide 3.74 (the digit term of the numerator) by 1 (the implied digit term of the denominator) which is just 3.74, and subtract the exponents (-16 - (-30)) which equals 14. Therefore, the fraction as a single exponential expression is 3.74 x 1014.

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Answer:   3x

Step-by-step explanation:

[tex]\dfrac{\sqrt[3]{54x^5}}{\sqrt[3]{2x^2}}=\dfrac{\sqrt[3]{3\cdot 3\cdot 3\cdot 2\cdot x\cdot x\cdot x\cdot x^2}}{\sqrt[3]{2x^2}}=\dfrac{3x\sqrt[3]{2x^2}}{\sqrt[3]{2x^2} }=\boxed{3x}[/tex]

Answer:

y  = x+3;  y = -2x +5

Step-by-step explanation:

x + 3 = -2x + 5

Let   y = x + 3 = -2x + 5

If a = b = c then a=b and a=c

we can write the equation as

y = x + 3 and y = -2x + 5

Thus, this is the system of equations

y = x + 3

y = -2x + 5

Answer:

y = x + 3 and y = -2x + 5

Step-by-step explanation:

If we consider one set of equation as:

[tex] y = x + 3 [/tex]

and the other set of equation as:

[tex] y = - 2 x + 5 [/tex]

Since the left hand side for both these equations is same, therefore we can equate the right hand side and write it as:

[tex] x + 3 = - 2 x + 5 [/tex]

Answer:

cylinder

Step-by-step explanation:

Twenty students are male.

Hope this helps.

Answer:  f(t) is shifted 20 units to the left and 7 units down

Step-by-step explanation:

The general form of a sin function is: y = A sin (Bx - C) + D

y = sin (5t)

f(t) = sin (5t + 20) -7

Answer:

Option C

Step-by-step explanation:

There are several types of costs in this problem:

* Unique costs

* Costs that depend on the number of cars

* Costs that depend on the number of months

* Costs that depend on the number of months and the number of cars.

The costs that depend on the number of cars represent the coefficient of the variable n.

The costs that do not depend on the number of cars represent the constant value of the equation.

Then, to solve this problem you must identify the costs that do not depend on the number of cars.

These costs are:

* Membership Fee: $ 50 (one-time cost)

* Pull Pressure Check Cost: $ 15 per month

[tex]\$50 + \$15(12\ month) = \$230[/tex]

Then the answer is option C

20.43+5.12=25.55 so ur answer is 25.55

Answer:

$25.55

Step-by-step explanation:

43+ 12 =55

20+5=25

The answer is $25.55.

Answer:

If your definition of "Cover" is to fill it in, than there is no longer a hole.

If your definition of "Cover" is to simply "cover" the hole and not filling it, there is still a 12 feet hole.

Unless your perspective is that there is no hole simply because it was Covered.

Step-by-step explanation: Try again

the hole would be over 9000 deeper

The answer is C. Hope this helps!

you would multiply 36*2/3 and get 24 which would be the new side length

Answer:

24 feet

Step-by-step explanation:

got it right on ttm :)    

Answer: The first answer choice

Step-by-step explanation:

Answer:

(b) 12; (a) 75%

Step-by-step explanation:

For b, convert the percentage to a SIMPLIFIED FRACTION [3⁄20 = 15%]. After you get your fraction, multiply it by 80 to get 12.

For a, it gives you your number already, but kind of turned around. This time, they want to to figure out what percentage of 48 will give you 36. Simply divide 36 by 48 to get your answer.

I am joyous to assist you anytime.

Answer:

the answer to this is 7.9 or 7 13/14

Step-by-step explanation:

1. Divide both sides by 14

111/14 = 14g/14

2. Simplify

g = 7 13/14

Final answer:

The variable 'g' in the equation 111 = 14g is found by dividing 111 by 14, resulting in approximately 7.929 (rounded to 4 significant figures).

Explanation:

The equation given is 111 = 14g, which seems to be a simple algebra equation where you are solving for the variable g. To find g, you would divide both sides of the equation by 14 to isolate g.

This calculation yields: g = 111 / 14, which equals 7.92857142857. However, this number might need to be rounded depending on the context or instructions for significant figures. If the problem instructions mentioned 4 sig figs, the answer would be rounded to 7.929.

Answer:

25 strawberries and 10 oranges

Step-by-step explanation:

1) 12 ÷ 8 = 2.5

2)10 x 2.5= 25

3)4 x 2.5=10

the answer is twenty-four

Answer:

The answer is C because when you substituted the coordinate pairs into the equation, both sides are equal which tells you that they're a solution to the equation.

Explanation:

All you do is substitute. (x,y)

A:

Substitute

1 = 4(2) - 7

Multiply the number inside the parentheses by the outside number.

1 = 8 - 7

Subtract to get your solution.

1 = 1

Both sides equal to each other so this means that this is a solution to the equation.

B:

Substitute

9 = 4(4) - 7

Multiply the number inside the parentheses by the outside number.

9 = 16 - 7

Subtract to get your solution.

9 = 9

Both sides equal to each other so this means that this is also a solution to the equation.

D:

Both ordered pair is a solution to the equation.

Answer:

Hello thank you for your question! The answer to your problem is 2.993

Enjoy Brainly ,

Homepage10

Step-by-step explanation:

Answer: 8 cm

Step-by-step explanation: its 8

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}[/tex]

[tex]x^{2}=100[/tex]

[tex]x=10\ in[/tex]

it would be A i hope i helped

The least possible side effect of anabolic steroids among the choices provided is the first choice which is Brain and liver cancer.

Anabolic steroids are synthetic variations of the male hormone. The proper term for these compounds is anabolic-androgenic steroids.

"Anabolic" refers to muscle building, and "androgenic" refers to increased male characteristics.

Irritability and aggression increase when anabolic steroids are used in high doses.

The least possible side effect of anabolic steroids among the choices provided is the first choice which is Brain and liver cancer.

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Hello.

You would write the equation like this: [tex]\frac{2}{3} c - 2[/tex]

Let me know if that was what you were looking for.

Answer: 5(-2 1/4)

Step-by-step explanation: When somethig is being taken away, it's represented as a negative number. The number needs to be displayed throug 5 days, so A would be correct. To check, a negative times a postive is a negative, and 5 times -2 1/4 is -11 1/4.

answer Y=1 over 4 and Y= 2 over 3 that is your answer and these are the steps I'm going to put a image hope this is useful to u and have a beuty day

Answer:

f(y) = 12y^2 -5y -2 = 0

a = 12 b =-5 c=-2

Using quadratic formula:

y = [-b +-sq root (b^2 -4ac)] / 2 a

y = [--5 +-sq root (25 -4*12*-2)] / 24

y = [5 +- sq root  (25 + 96) ] / 24

y = [5 +- sq root  (121) ] / 24

y = [5 + 11] / 24

y1 = (2/3) = .66666666666

y2 = 5 -11 / 24  

y2 = -(1/4) = -.25

Step-by-step explanation: