A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame? 4x + 12 8x + 24

Given :

The ball of a ballpoint pen is 1 mm in diameter and has an ASTM grain size of 10.

To Find :

How many grains are there in the ball.

Solution :

Volume of ball is :

\(V=\dfrac{4\pi r^3}{3}\\\\V=\dfrac{4\pi (0.5)^3}{3}\ mm^3\\\\V=\dfrac{4\times 3.14\times 0.5^3}{3}\ mm^3\\\\V=0.523\ mm^3\)

Grains per unit volume is given by :

\(N = 2^{n-1}\times 10^3\ grains/mm^3\) ( Here, n is ASTM grain size ).

Putting n = 10 , we get :

\(N = 2^{10-1}\times 10^3\ grains/mm^3\\\\N = 5.2\times 10^5\ grains/mm^3\)

Number of grains are :

\(n = V\times N\\\\n = 0.523\times 5.2\times 10^5\ grains\\\\n = 2.7196\times 10^5\ grains\)

Hence, this is the required solution.

Answer:

Square pyramid.

Step-by-step explanation:

Pretend that all the sides are up, and then you’d know it’s a square pyramid because th e bottom is a square and when you put up the sides it’s a pyramid.

I hope this helps! Good luck!

(please give me brainliest!)

The 10the term of the sequence -1/1, -1/2, -1/9, -1/64....is -1/1,000,000,000

-1/1, -1/2, -1/9, -1/64

This can be written as;

-1/1° , -1/2¹, -1/3², -1/4³, -1/5⁴, -1/6^5, -1/7^6, - 1/8^7, -1/9^8, -1/10^9

So,

First term = -1/1,

Second term = -1/2,

Third term = -1/9,

Fourth term = -1/64,

Fifth term = -1/625,

Sixth term = -1/7,776,

Seventh term = -1/117,649,

Eighth term = -1/2,097,152,

Ninth term = -1 / 43,046,721,

Tenth term = -1/1,000,000,000

Therefore, the 10th term is -1/1,000,000,000

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Answer:

Step-by-step explanation:

?

Work Shown:

\((x_1,y_1) = (8,2) \text{ and } (x_2,y_2) = (12,-10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-10 - 2}{12 - 8}\\\\m = \frac{-12}{4}\\\\m = -3\\\\\)

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Answer:  \(\textsf{y = -3}\)

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Given: \(\textsf{Goes through (8, 2) and (12, -10)}\)

Find:  \(\textsf{The slope of the line}\)

Solution: In order to determine the slope of the line we need to use the slope formula where we just plug in the values and simplify.

Plug in the values

Simplify the expression

Therefore, the slope of the line that fits the description that was provided in the problem statement is -3.

Answer:

p = 16

Let me know if I'm wrong!

The solution is 42 : 98 : 105

The ratio of the number of songs Gerald , Harold and James downloaded is in the ratio 42 : 98 : 105

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the ratio of number of songs downloaded by Gerald and Harold be =

3 : 7

Let the ratio of number of songs downloaded by Harold and James be =

14 : 15

So , the number of songs downloaded by Gerald = 3x

The number of songs downloaded by Harold = 7x

And ,

The number of songs downloaded by Harold = 14y

The number of songs downloaded by James = 15y

So , substituting the values in the equation , we get

7x = 14y

x = 2y

And ,

The number of songs downloaded by Gerald = 3 x 14 z

The number of songs downloaded by Gerald = 42z

The number of songs downloaded by Harold = 7 x 14z

The number of songs downloaded by Harold = 98z

The number of songs downloaded by James = 7 x 15z

The number of songs downloaded by James = 105z

So , the ratio of the number of songs Gerald , Harold and James downloaded = 42z : 98z : 105z

On simplifying the proportion , we get

The ratio will be = 42 : 98 : 105

Hence , The ratio of the number of songs Gerald , Harold and James downloaded is in the ratio 42 : 98 : 105

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Answer:

(b) and (c).

Step-by-step explanation:

The given expression is : 5y+9

In this equation, y is only variable. 5 times of y is added to 9.

Option (a) is incorrect as 9 is constant instead of 5.

Option (b) is correct.

Option (c) is correct as y is only variable here.

Option (d) is incorrect as 5 is coefficient of y only not of whole expression.

Option (d) is incorrect as there are 2 terms i.e 5y and 9.

Hence, correct options are : (b) and (c).

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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Step-by-step explanation:

it is the ans of midpoint PQ

Answer:

(a) 56%

(b) 28%

Step-by-step explanation:

Hope this helps! :)

Answer:

3000

Step-by-step explanation:

30,000/10=3000

Hope this helps! :)

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

b.15%

Step-by-step explanation:

Answer:

The answer is that the simplest fraction form of 34% is 17/50

Step-by-step explanation:

Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.

34% = 17/50

Have an awesome day! :D

Answer:

\(\frac{17}{50}\)

Step-by-step explanation:

To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as \(\frac{34}{100}\).

Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.

\(\frac{34}{100}\) = \(\frac{17*2}{50*2}\)= \(\frac{17}{50}\)

7.3692 8.7 8.72 8.702

Answer:

Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.

Step-by-step explanation:

This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

yes

Step-by-step explanation:

Yes m is parallel to n because the alternate interior angles are equal .

Answer:

-60

It is -60 because if it takes away 6 points for each cone you hit and you hit 10, then it would be -60 times 10, which equals -60.

Answer:

(0,3) (3,5)

Step-by-step explanation:

You already have a point of (0,3) so graph that point and then using the slope go up 2 and right 3 so the other point you'll have is (3,5).

Equation: y = 2/3x + 3

Perpendicular slope is opposite sign reciprocal i.e. -3/2

Equation: y = -3/2x + 3

points on graph (0,3) (2,0)

Answer:

of means to multiple so it would equal 4 so the answer is false

Answer: Oh no... Anyway's wanna ask me a question about sex ed?

Step-by-step explanation: x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

Answer:

The profit function is:

\(P(x)=-x^2+1280x-3300\)

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

\(R(x)=1300x-x^2\)

And the cost function is:

\(C(x)=3300+20x\)

Then the total profit function will be:

\(P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300\)

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

\(\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)\)

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

\(\displaystyle x=-\frac{1280}{2(-1)}=640\)

And the maximum profit will be:

\(P(640)=-(640)^2+1280(640)-3300=406300\)

Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

Step-by-step explanation:

Just multiply the two dimensions to get m^2  area

7.2 m * 11 m = 79.2 m^2

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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I don't know if this is what you mean, sorry!!

Answer:

1: "You can't lie because Honesty is the best policy!"

2: "Wake up! You know that The early bird catches the worm!"

3: "It will be okay, Every cloud has a silver lining."

Hope this helps!!

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

In order for two triangles to be congruent, they must have the exact same side lengths and angle measures. In this case, you know that the angles of the triangles are equal, but you are not given side lengths. In math, you can never assume that the lengths are equal just because they look like it. Therefore, the answer is B. False because you do not know a single side length. In the future, review the rules of congruent triangles: SAS, ASA, SSS, AAS, HL where S = side, A = angle, H = hypotenuse, L = leg.

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

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Answer:

2y + 2 + y = 50 (combine like terms)

3y + 2 = 50

3y = 50 - 2

3y = 48

y = 16

Substitute 16 for y in either equation 1 or 2 and solve for x (I chose equation 1):

x + 16 = 50

x = 50 - 16

x = 34

Step-by-step explanation: