LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.

According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.

On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.

Hence, the time taken to edit the 15minute long video is; 20 hours.

hi

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I am assuming the left side of every equation is equal to \(435*3\)

Answer:

1. 3

2. 3, 3

3. 1200, 15

4. 1305

Step-by-step explanation:

1)

We know each side needs to be equal to each other. For the first equation, we should set the box equal to x

\(435*3=(400+30+5)*x\)

Then, we should simplify inside the parenthesis.

\(435*3=(435)*x\)

As we can see, we have a common value of 435 on both sides. We can cancel that out on both sides to get our answer.

\(3=x\)

2)

In this equation, we can see that the 3 is multiplied into the same parenthesis we were just looking at in the first equation. This causes the 3 to be distributed across the 400, 30, and the 5. Now, we just fill in the blanks. We notice that the 30 is missing, which would be multiplied by a 3. And we can see the 5 is being multiplied by an unknown number, which would need to be 3 to keep the distribution on the right side of the equation consistent.

3)

We now have the information that 30*3 = 90, as the tens place is holding the same 30 * 3 and 90. This means that we multiplied the numbers by 3 individually using our method of distribution. Essentially, we are simplifying the previous equation.

From here on out, we can just multiply the values by 3, which gives us our two answers.

\(400*3=1200\\5*3=15\)

4)

Simply enough, \(435*3 = x\)

However, we do also have context clues. We just multiplied numbers together in the previous equations. We are left with \(1200+90+15\) from equation 3. Simplifying this equation will leave us with a sum of 1305, which is the answer to this equation.

I recommend taking the time to learn this process. This specific equation is teaching you ways to easily break down scary looking multiplication problems. It is much easier to multiply 400 by 3 and 30 by 3 and 5 by 3 and then add them together than to just try and bruteforce 435*3. This is a very effective example of how people break down gradually more difficult problems. This will provide excellent groundwork for the future when you move from Algebra 1 to Geometry, Precalculus, and Calculus.

Answer:84

Step-by-step explanation:21x4=84

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

Step-by-step explanation:

For each one you would take the Q1 and the Q3 value of the box and whisker plot and subtract them

Q3 - Q1 = IQR(interquartile range)

45 - 20 = 25

40 - 10 = 30

10 - 6 = 4

20 - 8 = 12

The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

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The value of y is 9.

Perimeter is the total length of the boundary of any closed shape. It is basically the sum of all the sides of a given figure.

Perimeter of a rectangle is given by [ 2( l + b ) ] or (2 l + 2 b ) or

( l + l + b + b), here l and b represent the length and breadth of the given rectangle.

Perimeter of the given rectangle = 166 units               ( given )

Length of the given rectangle = 5y                                ( given )

Breadth of the given rectangle = (4y + 2)                     ( given )

By putting values in the formula, we get

perimeter = 2 ( l + b )

166 = 2 [ (5y) + (4y + 2) ]

166 = 2 [ 5y + 4y + 2 ]

166 = 2 [ 9y + 2 ]

166 = 2*9y + 2*2

166 = 18y + 4

166-4 = 18y  ( moving 4 to other side thus changing the sign to negative )

162 = 18y

162/18 = y  ( moving 18 to other side for further solution )

y = 9

Therefore, the value of y for which the perimeter of the given rectangle is 166 units is 9.

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The value of y is 9.

The whole length of any closed shape's boundary is known as its perimeter. In essence, it is the total of a given figure's sides.

A rectangle's perimeter can be calculated using [2(l + b)] or (2 l + 2 b) or

(l + l + b + b), where l and b stand for the provided rectangle's length and width

The rectangle's perimeter is 166 units ( given )

The rectangle's length is 5y ( given )

Given rectangle's width equals (4y + 2) ( given )

When we enter values into the formula, we obtain

perimeter = 2 ( l + b )

166 = 2 [ (5y) + (4y + 2) ]

166 = 2 [ 5y + 4y + 2 ]

166 = 2 [ 9y + 2 ]

166 = 2*9y + 2*2

166 = 18y + 4

166-4 = 18y  ( moving 4 to other side thus changing the sign to negative )

162 = 18y

162/18 = y  ( moving 18 to other side for further solution )

y = 9

Therefore, the value of y for which the perimeter of the given rectangle is 166 units is 9.

We are given the graph of internet users in 2008 for regions A, B, C, D, E, and F.

We notice that the greater number of users is 568 which corresponds to region B. Therefore, the answer is b.

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer: The distance of the ship from the lighthouse is 546.4 feet.

Step-by-step explanation:

What is the angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The beacon light is 126 feet high, the angle of elevation to the beacon is 13° and the distance from the lighthouse to the ship = x

These from a right-angled triangle,

from trigonometry

tan 13 = 126/x

making x the subject of the equation we have

x tan 13 = 126

x = 126/tan 13

but tan 13 = 0.2308

x = 126/0.2308

x = 546.4 feet

In conclusion, the ship's distance from the lighthouse is 546.4 feet.

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The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Answer:

hi jjojnbpoinopino

Step-by-step explanation:

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Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:

Quarts to gallons is 4 to 1.

1/4 x 60 = X

60/4 = X

15 = X

Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons

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For the given function, the lim┬(x→∞)⁡〖N(t)〗 is 137.

Based on the provided information, the function is given as N(t) = 137t/(t+12). Hence the limit at infinity for the function is given as:

lim┬(t→∞)⁡(137t/(t+12))

Limits at infinity are used to define the functions’ behavior as the independent variable increases or decreases without bound. In the function, as t goes to infinity both the numerator and denominator go to infinity. In order to determine the limit reaching infinity, divide the numerator and denominator by t. Hence,

lim┬(t→∞)⁡(137/(1+12⁄t))

Now as t approaches infinity, all the quotients with t in the denominator approach zero, leaving 137 in the numerator and 1 in the denominator, so the limit is 137.

Note: The question is incomplete. The complete question probably is: A company producing computer components has established that, on average, a new employee can assemble N(t) components per day after t days of on-the-job training, as given by N(t) = at/(t+b) for t ≥ 0, where a = 137 and b = 12. at Find lim┬(x→∞)⁡〖N(t)〗. Round to the nearest tenth (1 decimal place). Enter 0 if the limit does not exist.

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Answer:

3

Step-by-step explanation:

You just divide 27 by 3, then divide that answer by 3, and keep doing that until you get to 1:

27/3

9

9/3

3

3/3

1

3^x = 27

3^3 = 27

3 x 3 x 3 = 27

9 x 3 = 27

27 =27

Answer:

1  3/15 - 5/15

Step-by-step explanation:

Hope this helps. PS the / sign is supposed to be for the fraction.

Step-by-step explanation:

1 1/5 - 1/3 = 0.86

Hope I helped. The only way I know how to dot this is in decimal form sorry.

Step-by-step explanation:

a restricting is only necessary, if we need to limit the x values or the y values for various reasons.

the limit for the x values are to eliminate any values that would create an invalid or otherwise undefined result.

otherwise the inequality itself establishes a restriction already.

e.g. sqrt(x) + 3 >= 1 would need an additional restriction

x >= 0 to know we can't even try small negative x to find out verify the solution.

something like

sqrt(x² + 3) >= 1 does not need any further restrictions, because we can use any value for x, from - infinity to +infinity. and the inequality will always be valid.

also consider, that the left side can never get smaller than sqrt(3) which is larger than 1. so, really everything goes.

we could say something like

sqrt(x² + 16) >= 5

we still don't need to give any additional restrictions, but the inequality itself rules out all x that are

-3 < x < 3.

Notice that for an odd number on the cube (O), the table must have outcomes just for the dime, and for an even number on the cube (E), the table must have outcomes just for the penny.

The table that fulfills this conditions is the one from Option C.

Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

Answer:

A. what is the profit made by the retailer if he sells the article to the customer at the catalogue price?

10000

B.What profit is made by the manufacturer if the catalogue price is 50% above the manufacturing price?

25000

Answer:

100 inches/1 minute  X  1 foot/12 inches =(100/12) feet/minute = 8 1/3 feet/minute

Answer:

We can solve this problem using the elimination method, and in the elimination method we need to change equations so that one of the variables (either x or y) is eliminated. to do this, we can multiply one or both of the equations by constants so that the coefficients of one of the variables becomes equal so we can eliminate it from the equation. This will allow us to add the equations together and eliminate that variable.

For example, we could multiply the first equation by -5 and the second equation by 6, to get:

-30x + 10y = -20

-30x + 48y = 270

Then, we can add these equations together to eliminate the x variable:

-30x + 10y = -20

-30x + 48y = 270

-60x + 58y = 250

We can then solve for y by dividing both sides of the equation by 58:

y = 250 / 58

y = approximately 4.31

Once we have the value of y, we can substitute it back into one of the original equations to solve for x. for example, if we substitute it into the first equation, we get:

6x + 2 * 4.31 = 4

6x = 4 - 8.62

6x = -4.62

x = -0.77

Therefore, the solution to the system of equations is x = -0.77 and y = 4.31.

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

\(\huge\text{Hey there!}\)

\(\large\textsf{4(x + 3) - 10 = 6(x -2)}\\\large\textsf{4(x) + 4(3) - 10 = 6(x) + 6(-2)}\\\large\textsf{4x + 12 - 10 = 6x - 12}\\\large\textsf{4x + 2 = 6x - 12}\\\large\text{SUBTRACT 6x to BOTH SIDES}\\\large\textsf{4x + 2 - 6x = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\text{NEW EQUATION: \textsf{-2x + 2 = -12}}\\\large\text{SUBTRACT 2 to BOTH SIDES}\\\large\textsf{-2x + 2 - 2 = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\textsf{-2x = -14}\\\large\text{DIVIDE -2 to BOTH SIDES}\)

\(\mathsf{\dfrac{-2x}{-2}= \dfrac{-14}{-2}}\\\large\text{CANCEL out: }\rm{\dfrac{-2}{-2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{-14}{-2}}\large\text{ because it helps solve for the x-value}\\\large\text{NEW EQUATION: }\mathsf{x = \dfrac{-14}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textsf{x = 7}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\textsf{x = 7}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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Greater

36+9,000 > 40

Answer:

(x-2)^2 + (y+3)^2 = 5.1^2

Step-by-step explanation:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where h and k are the x and y values of the center of the circle respectively and r stands for the radius.

The center is given to us, at (2, -3) so we can plug that in:

(x-(2))^2 + (y- (-3))^2 = r^2

Simplify:

(x-2)^2 + (y+3)^2 = r^2

We can also solve for the radius by getting another point given to us: (3,2).

Using the pythagorean theorem, we can find how far the two points are away from each other:

a^2 + b^2 = c^2

1^2 + 5^2 = c^2
1 + 25 = c^2

26 = c^2

c ~ 5.1

Plug the radius we solved for in for r:
(x-2)^2 + (y+3)^2 = 5.1^2