Could someone please help me asap? Thanks in advance! :)

Answer:

Question A: The dimensions of the original painting are 42 cm by 126 cm.

Question B: The area of the original painting is [tex]5292cm^2[/tex]

Question C:  The dimensions of the painting in feet are 1.386 ft by 4.158 ft.

Step-by-step explanation:

Question A:

The scale of the copy is

0.5 inches:12 centimeter.

This means that 1 inch on the scale is 24 centimeters.

Therefore the width of the original painting is:

[tex]1.75*24cm=42cm[/tex]

and the height of is:

[tex]5.25*24cm=126cm[/tex]

Therefore the dimension of the original painting are 42 cm by 126 cm.

Question B;

The area of the original painting is just width multiplied by height:

[tex]Area=42cm*126cm=5292cm^2[/tex]

Question C:

We convert the dimensions of the painting from centimeters to feet:

[tex]width=42cm*0.033\frac{feet}{cm} =1.386\:feet.[/tex]

[tex]height=126cm*0.033\frac{feet}{cm} =4.158\:feet.[/tex]

Therefore the dimensions of the original painting in feet are 1.386 ft by 4.158 ft.

Answer:

Step-by-step explanation:

The scale of the copy is 0.5 : 12, which means 0.5 inches of the copy represents 12 centimeters actual.

From the given scale we can deduct that 1 inch equals 24 centimeters.

So, the dimensions of the original are

[tex]1.75 \times 24 =42[/tex]

[tex]5.25 \times 24= 126[/tex]

Therefore, the original painting has dimensions 42 cm by 126 cm. (A)

Notice that the original painting is also rectangular, so its area is

[tex]A_{original}=42 \times 126 = 5,292 cm^{2}[/tex] (B)

Now, if 1 centimeter is equivalen to 0.033 foot, the dimensions of the original painting in feet are

[tex]42 \times 0.033 =1.386 ft\\126 \times 0.033=4.158 ft[/tex]

Therefore, the dimensions in feet are 1.386 feet by 4.158. (C)

Answer:

Step-by-step explanation:

it looks like an isosceles triangle, but is an equilateral triangle, 3 equal sides and 3 equal angles, you have the value of 120°, and the interior angle is 60° (180 - 120 = 60°), this angle is equal to angle y.

y = 60*

the sum of the interior angles of a triangle is 180°

180 - 60 - 60 = 60°

x = 60°

Put the value of x = 6 to the eqpression 5x² + x - 7:

5(6)² + 6 - 7 = 5(36) + 6 - 7 = 180 + 6 - 7 = 179

The proportional relationship between x and y is;

x 7 14 28 35

y 1 2 4 5

The correct option is D.

Proportional relationships between x and y satisfy the following equation;

[tex]\rm y=kx[/tex]

Where k is some constant.

Rearranging the equation;

[tex]\rm y=kx\\\\k=\dfrac{y}{x}[/tex]

Then,

The proportional relationship between x and y is;

[tex]\rm k = \dfrac{y}{x}\\\\\rm When \ x= 7 \ and \ y= 1\\\\K=\dfrac{1}{7}\\\\\rm When \ x= 14 \ and \ y= 2\\\\K=\dfrac{2}{14}=\dfrac{1}{7}\\\\\rm When \ x= 28 \ and \ y= 4\\\\K=\dfrac{4}{28}=\dfrac{1}{7}\\\\\rm When \ x= 35 \ and \ y= 5\\\\K=\dfrac{5}{35}=\dfrac{1}{7}[/tex]

Hence, the proportional relationship between x and y is the correct option is D.

To know more about proportional relationships click the link given below.

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Answer:

4:!

Step-by-step explanation:

4:1 because their are 4 boys for every 1 girl

Answer:

I think it is B

Step-by-step explanation:

Answer:

A. 0.75  

Step-by-step explanation:

The formula for the correlation coefficient r is

[tex]r =\frac {n \sum{xy} - \sum{x}\sum{y}}{\sqrt{[n \sum{x^{2}}- (\sum{x})^{2}}][n \sum{y^{2}}- (\sum{y})^{2}]}[/tex]

It's easier to use a statistical calculator, but this question probably expects you to do it by hand.

Let’s write a table for easy calculation.

x    y      xy     x²      y²  

15  36   540  225  1296

13  22   286   169   484

12    6     72    144     36

11  20   220    121    400

51 84   1118   659   2216

(Σx)² = 2601

(Σy)² = 7056

[tex]r =\frac{4\times1118-51\times84}{\sqrt{[4\times659-2601][4\times2216-7056]}}[/tex]

[tex]r =\frac{4472-4284}{\sqrt{[2636-2601][8864-7056]}}[/tex]

[tex]r =\frac{188}{\sqrt{35\times1808}}[/tex]

[tex]r =\frac{188}{\sqrt{63280}}[/tex]

[tex]r =\frac{188}{251.6}[/tex]

r = 0.747

The graph below shows that there is a poor correlation among the points.

Answer:18 us liquid quarts =

17.034 liters

Step-by-step explanation:

1 us liquid quart =

0.946 liter

Multiply 0.946 *18 =17.034

Mark me brainliest

Answer:

Your y-intercept is 1 and your slope is 2

Step-by-step explanation:

How to find Slope

To find your slope you have to do the change of y over the change of x. So if you go to your table find how much each value of numbers is changing by. Your y-values are changing differently, but it is fine so to get to 5 from 3 you add 2 and to get to 9 from 5 you add 4. You do the same thing for the x-values are changing differently, but it is fine, so to get to -1 from -2 you add 1 and to get  to 1 from -1 you add 2. Next you will take the two values that you get on the y side which are 2 and 4 and the x side which are 1 and 2 and put them in change of y over change of x. So 4/2 with equal 2 and 2/1 equal 2. So the slope is changing by 2.

To simplify the given expression, subtract the terms in the numerator, and then simplify the terms in the denominator. Finally, divide the numerator by the denominator.

To perform the indicated operation a-a^4/a^2+a+1, we need to simplify the expression using the order of operations. First, we simplify the terms in the numerator: a - a^4. Then, we simplify the terms in the denominator: a^2 + a + 1. Finally, we divide the simplified numerator by the simplified denominator to get the final answer.

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To perform the given operation, we need to follow the order of operations and simplify the exponents before performing the division, addition, and subtraction.

To perform the indicated operation a - a^4 / a^2 + a + 1, we need to follow the order of operations, which is often remembered using the acronym PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

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Answer:

3710

Step-by-step explanation:

265 * 14    

multiply 4 by 5, then 4 by 6, then 4 by 2 which would look like this 860

then you multiply 1 by 5, then 1 by 6, then 1 by 2 which should loo like 2650

it looks like that because for every digit you multiply by except the first you add a zero in front of it. then you add those two up which adds up to 3710 you're welcome. :}

Answer:

3,710

Step-by-step explanation:

First, write it in a multiplication form. (staking on top of each other)

First Step: Multiply the 5 and the 4 in the one's column. 20. So regroup the 2 and place the zero under the 4. Then you multiply the 5 and the one. 5. Also ad what you regrouped it to be. 7. Place that number under the 1 in 14.

Second Step: Add a zero in the ones place. Then multiply the 5 and the 1. 5.  Then you multiply the 6 and the 1. 6. Then lastly multiply the 2 and the one.

Third Step: Now add the two numbers to multiplied together to get your final answer.

Have a Nice Winter Break!

:-)

You don't have to mark me as brainliest though.

Pls mark the other person as brainliest!

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

.4/3.8= 10.52/100

the amount of glycerin in the bar of soap is 10.5263158

Answer:

1.52 oz

Step-by-step explanation:

The glycerin makes up 4/10 of the weight of the soap. Since the soap weighs 3.8 oz. then the glycerin makes up

4/10 * 3.8 = 1.52 oz

To solve the algebraic equation '2(n+20)=110', we first divide by 2, yielding 'n+20=55', and then subtract 20 to find 'n=35'. A real-world example could be calculating an initial inventory of items before doubling and adding 20 to reach a target inventory.

The student's question, 'What is a real world problem for 2(n+20)=110?' can be seen as a basic algebra question. To solve for n, we start by dividing both sides of the equation by 2, giving us n+20 = 55. Then we subtract 20 from both sides, which leaves us with n = 35.

A real-world interpretation of this equation could be a scenario where someone has twice the number of objects plus an additional 20 objects, and they want to end up with 110 objects in total. To find out the original number of objects, they would perform the calculations above. In this case, the real-world problem could involve an initial inventory of 35 items that needs to be doubled and then 20 more added to achieve a target inventory of 110 items.

Answer:

9[tex]\sqrt{85}[/tex]

Step-by-step explanation:

9v = 9(2i + 9j) = 18i + 81j

|9v | = [tex]\sqrt{18^2+81^2}[/tex] = [tex]\sqrt{x6885}[/tex] = 9[tex]\sqrt{85}[/tex]

Answer:

The period is [tex]\dfrac{10\pi}{9}[/tex] and the amplitude is 3.

Step-by-step explanation:

The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.

The period of the function [tex]y=a\cos (bx)[/tex] is [tex]T=\dfrac{2\pi }{b}[/tex] and the amplitude is [tex]|a|.[/tex]

Consider the function [tex]f(t)=3\cos \left(\dfrac{9}{5}t\right).[/tex]

The period for the function [tex]f(t)[/tex] is

[tex]T=\dfrac{2\pi}{\frac{9}{5}}=\dfrac{2\pi}{1}\cdot \dfrac{5}{9}=\dfrac{10\pi}{9}[/tex]

and the amplitude is 3.

The amplitude of the function f(x) = 3cos(9/5 t) is 3, and the period is approximately 3.4907 units of time.

The amplitude of the function f(x) = 3cos(9/5 t) is 3. This is because the amplitude A of a cosinusoidal function of the form x(t) = Acos(wt + φ) is the coefficient in front of the cosine, which describes the peak-to-peak swing of the wave.

The period T of the function can be found using the relationship between angular frequency w and the period T, which is T = 2π/w. Here, the angular frequency w is 9/5. Thus, the period T is 2π × (5/9), which simplifies to approximately 3.4907 units of time.

The equation of the line through (5,6) has a slope of 2 will be y=2x-4.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that, the line passes through (-10,-7)and (-5,-9).

We have to find the equation of the line through given points,

The slope of the line is,

m= 2

The equation of the line is obtained as,

y-y₁=m(x-x₁)

y-(6)=-2(x-(5)

y-6=2x-10

y=2x-10+6

y=2x-4

Thus, the equation of the line through (5,6) has a slope of 2 will be y=2x-4.

Learn more about the straight line here:

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Final answer:

To find the equation of the line with a slope of 2 passing through the point (5,6), we use the point-slope formula and obtain y = 2x - 4.

Explanation:

To write an equation of a line that passes through a given point, such as (5,6), with a given slope of 2, we can use the point-slope form of a linear equation, which is: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting the given point and slope into this formula, we have:

y - 6 = 2(x - 5)

Expanding this equation and solving for y, we get:

y - 6 = 2x - 10

Add 6 to both sides to find the y-intercept:

y = 2x - 4

This equation represents the line with a slope of 2 that passes through the point (5,6).

Answer:

Zero Product Property

Step-by-step explanation:

The zero product property states that anything multiplied by 0 is 0.

Answer:

5:3 AND 10:6

Step-by-step explanation:

_________________[tex]Hope this helps! <3[/tex]_____________________________

Answer:

shipping and handling is 18.90 dollars

Step-by-step explanation:

percent means "per one hundred", so any percent can be written as a fraction over 100

30% = 30/100 = 0.30

Multiply 0.30 with the price 63 to get 0.30*63 = 18.90, which is the cost of shipping only. This result is added on top of the 63 dollars to get the total cost.

Answer:

18.90

Step-by-step explanation:

We need to figure out the cost of shipping and handling

shipping and handling = original price * percent

                                     = 63* .3

                                     =18.90

Answer:

x = 17

Step-by-step explanation:

Answer:

Solve the following equation for x.

(x-5)/ 2 = 6 x=17

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9[tex]\frac{3}{5}[/tex] secs

1) First, we need to convert the mixed number 9[tex]\frac{3}{5}[/tex] to an improper fraction.

Method to convert a mixed number to an improper fraction

[tex]a\frac{b}{c} = \frac{c*a+b}{c}[/tex]

Applying the above formula, we get

9[tex]\frac{3}{5}[/tex] = [tex]\frac{5*9+3}{5}[/tex]

= [tex]\frac{45+3}{5}[/tex]

= [tex]\frac{48}{5}[/tex]

2) Now we need to convert [tex]\frac{48}{5}[/tex] into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = [tex]\frac{Distance}{Time taken}[/tex]

Plugging the values of Distance and Time taken into the formula, we get

Speed = [tex]\frac{100}{9.6}[/tex]

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

Answer:

Its A.

Step-by-step explanation:

Because, I have the same question for my test online and the greater than sign with out the under marking is correct.

Point-slope form:

y - y₁ = m(x - x₁)              "m" is the slope

You know:

m = -3

(x₁ , y₁) = (-1, -4)

So you can plug this into the equation:

y - y₁ = m(x - x₁)      

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

y + 4 = -3(x + 1)

Answer:

42 minutes

Step-by-step explanation:

There are 60 minutes in an hour and we want to find 0.7 of that. Of means multiply so we multiply 60 by 0.7 and we get 42 minutes.

Final answer:

To convert the job time of 0.7 hours to minutes for the engine repair job, multiply it by 60, resulting in an approximate job time of 42 minutes.

Explanation:

You have been given an engine repair job that has a job time of 0.7 hour. To find out how many minutes you should allow for the job, convert hours to minutes. Since there are 60 minutes in one hour, you would perform the following calculation:

Multiply 0.7 (hours) by 60 (minutes per hour).

0.7 hour * 60 minutes/hour = 42 minutes

You should therefore allow for approximately 42 minutes to complete the engine repair job.

Step-by-step explanation:

We are given total number of cars = 5 cars.

The mean of all of five cars = $7000.

Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.

Total price = Mean × Total number of cars.

According to problem, mean is 7000 and total number of cars is 5.

The total price of all 5 cars is $35000, calculated by multiplying the mean price ($7000) by the number of cars (5).

The subject of this question is Mathematics, specifically mean and total values. The mean price of the cars is given as $7000. The mean is calculated by dividing the total price by the number of items, in this case, cars. To find the total price, we therefore multiply the mean price by the number of cars. So, $7000 (mean price of each car) times 5 (total cars) equals $35000. Therefore, the total price of all 5 cars is $35000.

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Answer:

If you mean it's 89 feet, the answer is 415.3333 yards.

If you mean it's 89 yards, the answer is 1246 yards.

Step-by-step explanation:

Multiply 14 and 89 to get the distance of 14 identical cranes.

Since your question had two types of distance,

Feet: Divide by 3 since the conversion of feet to yards is 1/3.

Yards: Don't convert to a mile, as a mile is alot larger, and you will have a small answer.

Hope this helps.

The total length of cable on 14 identical cranes, each with a cable 89 yards long, would be approximately 0.71 miles.

The question you're asking involves measurement conversion and multiplication. If each cable is 89 yards long, and one yard is equivalent to 3 feet, then we first need to convert the length of each cable into feet. Therefore, 89 yards equal to 89*3 = 267 feet. Thereafter, to determine the total length of cable that 14 identical cranes would have, we simply multiply 267 feet by 14, which gives us 3,738 feet.

Bigger unit for feet is in miles, and we know 1 mile is equal to 5,280 feet, so to convert the total feet to miles, you divide the total length in feet by the number of feet in a mile. Hence 3,738 divided by 5,280 equals approximately 0.71 miles.

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y = 2x² - 12x + 21 = 2(x² + 6x) + 21.

Using the complet the square method, you get:

2(x² + 6x) + 21 = 2(x² + 6x + 9) - 2*9 + 21 = 2(x + 3)² + 3.

So the axis of symmetry is: x = -3.

The vertex is: (-3, 3)

Answer: 2(x + 3)² + 3

Explanation: Axis of symmetry: x = -3 Vertex: (-3, 3)

Answer: Choice B) 5/8

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

Explanation:

There are 10 dots that represent a measurement larger than 1/2 a foot (either the dot is over 5/8 or 3/4 or 7/8). Call this value A, so A = 10.

There are 16 dots total. Call this B, so B = 16.

Divide A over B and then reduce: A/B = 10/16 = 5/8 so that is why the answer is choice B

Coincidentally, we end up with 5/8 but that is not the same as the "5/8" as shown on the chart. It just means that if we had 8 people, the 5 of them would have a foot size larger than half a foot.

Answer:

Step-by-step explanation: