PLEASE ANSWER THIS ASAP

Answer:

Option (G)

Step-by-step explanation:

Volume of the real cane = 96 in³

Volume of the model of a can = 12 in³

Volume scale factor = \(\frac{\text{Volume of the model}}{\text{Volume of the real can}}\)

                                 = \(\frac{12}{96}\)

                                 \(=\frac{1}{8}\)

Scale factor of the model = \(\sqrt[3]{\text{Volume scale factor}}\)

                                          \(=\sqrt[3]{\frac{1}{8}}\)

                                          \(=\frac{1}{2}\)

Therefore, scale factor of the model of a can = \(\frac{1}{2}\) ≈ 1 : 2

Option (G) will be the correct option.

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

For more such questions on line.

https://brainly.com/question/280216

#SPJ8

Answer:

true

Step-by-step explanation:

5x + 4x = 9x

3y + 7y = 10y

8 + 34 = 42

Answer:

False

Step-by-step explanation:

5x+3y=8

4x+7y=34

Then:

5x+4x+3y+7y=9x+10y

9x+10y=43 not 9x-10y

Answer:

Step-by-step explanation:

It has already been answered on the picture.

Answer:

Step-by-step explanation:

Answer:

infinite solutions

Hope this helps!!!!!!

Step-by-step explanation:

First turn these into slope form

y=3x-6

y=3x-6

The equations are the same so that means they are o top of each other

which means infinite solutions

Answer: NONE you clown

Step-by-step explanation:

Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

Answer:

20

Step-by-step explanation:

The first thing we will do is state the question.

Left hand side of the equation: This is the answer we would derive after converting the right side of the equation to an inproper fraction.

Right hand side of the equation: To convert, the first thing we would do is multiply the denominator (2) by the whole number (25). Then we add to the numerator (1). We then divide all that by the denominator(2):

Therefore:

Answer:

1 whole

Step-by-step explanation:

Answer:

5/5 or 1 whole

Step-by-step explanation:

Answer:

\(y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3\)

Step-by-step explanation:

Given equation:

\(y=\left|\dfrac{1}{2}x-2\right|+3\)                            

Translation

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

When translating a graph to the right, subtract the number of units from the x variable.

Translating the given graph one unit to the right:

\(f(x-1) \implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3\)

Simplifying:

\(\implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3\)

\(\implies y=\left|\dfrac{1}{2}x-\dfrac{1}{2}-2\right|+3\)

\(\implies y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3\)

Learn more about graph transformations here:

https://brainly.com/question/27975349

https://brainly.com/question/28041916

Answer:

1244 DCD

Step-by-step explanation:

The likelihood that one or more of the dice will land on an even number is 1296.

The likelihood of an event is quantified by its probability, which is a number. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The likelihood of an event increasing with probability of occurrence.

Four 6-sided dice are rolled what is the probability that at least two dice show least 2 die the same.

For 2 of the same: 5×5×642) =900

For 3 of the same: 5×643) =120

For 4 of the same: 644) =6

Combined: 900+120+6=1026

Total possibilities: 64=1296

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ1

The probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

We can solve this problem by finding the probability that all four dice land on odd numbers and then subtracting this probability from 1 to get the probability that at least one of the dice lands on an even number.

The probability that one dice lands on an odd number is 3/6 = 1/2, and the probability that all four dice land on odd numbers is:

(1/2) × (1/2) × (1/2) × (1/2) = 1/16

Therefore, the probability that at least one of the dice lands on an even number is:

1 - 1/16 = 15/16

So the probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

An expression for the area of △KNM is = 1/2 x 2b x a

Given,

In the question:

In triangle KNM ;

The length of the base (MK) = 2b

and, height of the triangle is= a

To write an expression  for the area of △KNM .

Now, According to the question:

We know that :

Area of triangle is = 1/2 x base x height

The length of the base (MK) = 2b

and, height of the triangle is= a

Plug all the values in the area of triangle :

Here, Area of triangle is = 1/2 x 2b x a

Hence, An expression for the area of △KNM is = 1/2 x 2b x a.

Learn more about Triangle at:

https://brainly.com/question/16886469

#SPJ9

Answer:

g(23)= 2520.

Step-by-step explanation:

In order to get the value g(23) from this function, simply substitute the variable "x" by number 23 in the function and calculate:

\(g(x)=42(37+x)\\ \\g(23)=42(37+(23))\\ \\g(23)=42(60)\\ \\g(23)=2520\)

Knowing that the function returns a value of 2520 when introducing an x value of 23, this means that the basket weaver will earn $2,520 dollars by selling 37 straw baskets and 23 bamboo baskets.

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

Learn more about evaluating expressions here:

https://brainly.com/question/28308470

https://brainly.com/question/28308627

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

1. The ordered pair (1, 5) is a solution to the system of equations.

2. The ordered pair (-2, 0) is NOT a solution to the system of equations.

To determine if the ordered pair (1, 5) is a solution to the system of equations, we substitute the values into the equations and see if they hold true.

-5(1) + 6(5) = 25

25 = 25 (holds true)

-7(1) + 8(5) = 33

33 = 33 (holds true)

Since both equations hold true for the values of m=1 and n=5, we can conclude that the ordered pair (1, 5) is a solution to the system of equations.

To determine if the ordered pair (-2, 0) is a solution to the system of equations, we substitute the values into the equations and see if they hold true.

8(-2) - 3(0) = -16

-16 = -16 (holds true)

-9(-2) - 2(0) = 50

4 ≠ 50 (does not hold true)

Since one of the equations does not hold true for the values of x=-2 and y=0, we can conclude that the ordered pair (-2, 0) is NOT a solution to the system of equations.

learn more about system solution: https://brainly.com/question/4686750

#SPJ1

Answer:

P ( 2<x<18)  = 16/23

Step-by-step explanation:

Since it is a uniform distribution the f(x) is given by

f(x) = 1/b-a     a ≤x ≤b     [0,23]

f(x) = 1/23-0 = 1/23

Now we have to find the probability  that a randomly chosen eight-week-old baby smiles between two and 18 seconds

P ( 2<x<18) =  base * height

                   = ( b-a) * 1/ b-a

                  = 18-2 *1/23

                 =16/23

The uniform distribution is called rectangular distribution because its total probability is confined to a rectangular region with base equal to (b-a) and height (1/b-a).

Answer:

No

Step-by-step explanation:

There is no formula

There is no formula

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

Read more on algebra:

https://brainly.com/question/4344214

#SPJ1

Answer:

30:15 and 2 times the amount because 15x2=30

Step-by-step explanation:

Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

To know more about square, visit:

https://brainly.com/question/28776767

#SPJ1

The value of x is (-∞, -5) ∪ (1, ∞).

Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),

Solving for x,

Factors =

\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)

Therefore,

\(\left(x-1\right)^3\left(x+5\right) > 0\)

\(x < -5\quad \mathrm{or}\quad \:x > 1\)

Hence the value of x is (-∞, -5) ∪ (1, ∞).

Learn more about polynomial click;

https://brainly.com/question/11536910

#SPJ1

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

For more such questions on ratio of the sides

https://brainly.com/question/31529028

#SPJ8

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

d. 1 < d < 2

e. t ≥ 5

f. -z ≤ 4

Step-by-step explanation:

Answer:

d. 5. 1 ≤ d ≤ 2

e. 4. t ≥ 5

f. 1. -z < 4

Step-by-step explanation:

d. d is between 2 and 1

The statement "d is between 2 and 1" means that d is greater than 1 and less than 2. We can represent this using the inequality 1 < d < 2. However, the answer choices do not match this exact form of inequality. To rephrase the inequality in a way that matches the answer choices, we can use the logical "and" operator to combine two inequalities: d is greater than or equal to 1, and d is less than or equal to 2. This gives us the inequality 1 ≤ d ≤ 2, which is answer choice 5.

e. t is not less than 5

The statement "t is not less than 5" means that t is greater than or equal to 5. This can be represented using the inequality t ≥ 5, which is answer choice 4.

f. The negative of z is not greater than 4

The statement "the negative of z is not greater than 4" means that -z is less than or equal to 4. We can represent this using the inequality -z ≤ 4, which is answer choice 2. However, the question does not include an answer choice for -z < 4, which is also true based on the statement.