How do military experts measure the distance traveled by a bullet projected from a gun? calculous math riddle

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

To know more about unitary method visit:

brainly.com/question/28276953

#SPJ1

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)

\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)

⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)

⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)

⤑ \( \sf{ \sqrt{100 - 64}} \)

⤑ \( \sf{ \sqrt{36}} \)

⤑ \( \boxed{ \sf{6\: units}}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

for such more question on number of seats

https://brainly.com/question/859564

#SPJ8

Answer:

Part A- The 1st box is 96 and the second box is 10.

PartB-

Part C-

Step-by-step explanation:

5x12=60

6x12=72

8x12=96

10x12=120

So the 1st box is 96 and the second box is 10.

5     $50

6     $60

8     $80

I know this because Harry receives $10 per hour so you have to multiply the number of hours by $10.

If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50. Harry would receive $10 more by babysitting than by doing yard work.

Hoped this helped.

Answer:

Step-by-step explanation:

The population after 0 years is 130,000, so we can use this as the initial value, or the y-intercept, of our exponential function. The growth rate is 5% per year, which is equivalent to 1.05 per year when expressed as a decimal. Therefore, our exponential function can be written as:

y = (1.05)^x

To find the population after 16 years, we can plug in x = 16 into our function:

y = (1.05)^16

= 244,253.8

Rounded to the nearest whole number, the population after 16 years will be 244,254.

Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

Answer:

466 student

Step-by-step explanation:

The number of students that like at most 2 kinds of these chocolate candies can be gotten from subtracting the number of students that like more than 2 candies from the total number of high school students.

Since 34 like all three kinds of chocolate candy, hence:

Number of students that like at most 2 kinds of these chocolate candies = 500 - 34 = 466

466 students like at most 2 kinds of these chocolate candies

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

Learn more about sums at:

https://brainly.com/question/30518693

#SPJ1

The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

To learn more on Displacement click:

https://brainly.com/question/29957379

#SPJ1

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The difference between the sum of the last 10 numbers and the sum of the first 10 numbers will be 200.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

Sₙ = (n / 2)[a₁ + L]

The 20 consecutive even numbers are given below.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

The sum of the first 10 numbers will be given as,

⇒ (10 / 2)[2 + 20]

⇒ 5 x 22

⇒ 110

The sum of the last 10 numbers will be given as,

⇒ (10 / 2)[22 + 40]

⇒ 5 x 62

⇒ 310

Then the difference between the numbers is given as,

⇒ 310 - 110

⇒ 200

The difference between the sum of the last 10 numbers and the sum of the first 10 numbers will be 200.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

The magnitude of the vector sum (A + B) is approximately 4.974.

To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.

Given:

Vector A: (5.1, 0)

Vector B: (-2.6, -4.3)

To find the vector sum (A + B), we add the corresponding components:

(A + B) = (5.1 + (-2.6), 0 + (-4.3))

= (2.5, -4.3)

Now, let's calculate the magnitude of the vector (2.5, -4.3):

Magnitude = sqrt((2.5)^2 + (-4.3)^2)

= sqrt(6.25 + 18.49)

= sqrt(24.74)

≈ 4.974

For more question on magnitude click on

https://brainly.com/question/28047791

#SPJ11

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.

Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.

We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:

3 ml x 3 ml x 3 ml

-------- = ----------

728 ml total, 8 ml overall

If we cross-multiply, we obtain:

8(x) = 3(728)

To find x, we use the formula x = 3(728)/8 = 273

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

To know more about compound visit -https://brainly.com/question/20881737

#SPJ1

273 milliliters of compound A are needed to make 728 milliliters of the drug.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.

Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:

3 : (3+5) or 3:8

This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.

To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:

3/8 = x/728

where x represents the amount of compound A needed.

To solve for x, we can cross-multiply:

8x = 3*728

8x = 2184

x = 273

Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.

To learn more about proportions from given link:

brainly.com/question/26617614

#SPJ1

The cuboid in question has a surface area of 202 square units.

We must sum together the areas of all six faces to determine a cuboid's surface area.

The dimensions of the given cuboid are:

length (l) = 9 units

width (w) = 5 units

height (h) = 4 units

The area of each face is given by:

Top and bottom faces:\(lw = 9 * 5 = 45\) square units each

Front and back faces: \(lh = 9 *4 = 36\) square units each

Left and right faces: \(wh = 5 * 4 = 20\) square units each

Therefore, the total surface area of the cuboid is:

\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)

Hence, the surface area of the given cuboid is 202 square units.

Learn more about the Surface area here:

https://brainly.com/question/29298005

#SPJ1

Answer:

B

Step-by-step explanation:

pls mark me as brainest

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Learn more about equation click here:

https://brainly.com/question/30742757

#SPJ1

Answer:

387287i32

Step-by-step explanation:

i did it

Answer:

\(\frac{5}{12}\)

Step-by-step explanation:

The given problem is a subtraction problem between fractions. The first step in a problem like this is to convert both fractions to a common denominator. In other words, multiply both the numerator and denominator of a fraction by the same value such that the denominator of one of the fractions is the same as the other fraction. The numerator of a fraction is the value over the fraction bar, whereas the denominator is the value under it. Multiplying any fraction by a number over itself is the same as multiplying it by one, thus, the equation will remain true, and be equivalent to the original expression.

\(\frac{13}{12}-\frac{2}{3}\)

Convert to a common denominator,

\(\frac{13}{12}-(\frac{2}{3}*\frac{4}{4})\)

\(\frac{13}{12}-\frac{8}{12}\)

Now perform the subtraction, subtract one numerator from the other, remember, do no perfrom any more operations with the denominators,

\(\frac{5}{12}\)

The sum of the given series is mentioned above.

A function describes a relationship between a dependent and independent variable. Example -

y = f(x) = 5x + 9

Given are the series as shown in the figure attached.

{ 1 } -

We can write the series as -

6 + 7 + 8 + 9 + 10 + ...... + 100

It is a arithmetic sequence. We can write the sum as -

∑{ i }  = (95/2)(2 x 6 + 94 x 1)

∑{ i }  = (95/2)(12 + 94)

∑{ i }  = 95 x 53

∑{ i }  = 5035

{ 2 } -

We can write the sum as -

∑{ n } = n       {there is no 'i' term}

Therefore, the sum of the given series are mentioned above.

To solve more questions on functions, visit the link below -

brainly.com/question/17613163

#SPJ1

Problem 15

Answers:

Each interval is interval notation.

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

Explanation:

To get the graph, you can plug in various x values to find their paired y values, then draw a curve through those points. You can only plug in x values that are 3 or larger, as I'll mention later in the next paragraph. A quicker way to get the graph is to use technology. I used GeoGebra to generate the graphs below.

To get the domain, we need to ensure that the stuff under the square root is never negative. So we need to make the x-3 to be 0 or larger. Solving \(x-3 \ge 0\) leads to \(x \ge 3\) showing that 3 is the smallest value we can plug in. The domain is the interval from 3 to positive infinity. We can write that as \(3 \le x < \infty\) which condenses to the interval notation [3, infinity). Note how the square bracket is used to include the endpoint.

The range can be determined from the graph. The lowest point is when y = 2, so the range consists of y outputs that are 2 or larger. We write the interval notation [2, infinity) to mean \(2 \le y < \infty\)

The graph also helps us see where the curve is increasing or decreasing. In this case, the curve goes uphill as we move from left to right. Therefore, the graph is increasing over its entire domain. We write the domain as the answer here. Because the function increases over the entire domain, there's no room for the function to decrease.

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

Problem 16

Answers:

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

Explanation:

We follow the same idea as the previous problem.

This time we want the x+1 under the square root to be 0 or larger, so \(x+1 \ge 0\) solves to \(x \ge -1\) telling us the smallest input allowed. The value of x can be this or larger.

Since this is an increasing function throughout the domain (similar to the previous problem), this means that the smallest domain value corresponds exactly to the smallest range value. Plugging in x = -1 leads to y = -3 which is the smallest possible output. As x gets bigger, so does y. The graph shows that the lowest point occurs when y = -3 to visually confirm this.

The increasing interval is over the entire domain, so we just write the domain again for the increasing interval. This means we write "none" for the decreasing interval.

Side note: The graphs are shown together on the same xy coordinate axis, but for your hw problem, you'll have the graphs on their own separate grid.

Answer:

i think its 10.71 i dont know if i got it right your welcome

Step-by-step explanation:

Answer:

$10.71

Step-by-step explanation:

9514 1404 393

Answer:

  1.53 minutes faster

Step-by-step explanation:

A question of this nature can be answered a number of ways. Often, when athletes compare speeds over a course of a specific length, they do it by comparing times.

Here, Jill"s time is ...

  21.00 -19.47 = 1.53

minutes less than Grace"s time.

Jill swam a mile 1.53 minutes faster than Grace did.

Answer:

bce

Step-by-step explanation:

i just did it

Answer:

B, C, E

Step-by-step explanation:

Hope this helps <3

Answer:

The fraction can not be reduced, but it can be converted to decimal form.

Exact Form: 10/7

Step-by-step explanation:

Let's take this problem step-by-step:

If a line is parallel to each other:

 ⇒ their slope must be equal

Thus the line parallel to: \(y=\frac{3}{4}x-4\)

 ⇒ that line's slope: 3/4

The point-slope form is: \((y-y_1)=m(x-x_1)\)

Let's put that line into the point-slope form:

 \((y-7)=\frac{3}{4}(x+1)\)  <== Answer

Hope that helps!

#LearnwithBrainly

Answer:

\(y - 7 = \frac{3}{4} (x+1)\)

Step-by-step explanation:

We are given the equation y = 3/4x-4, and we want to write an equation of a line that is parallel to y=3/4x-4, and that also passes through (-1, 7), in point-slope form.

Point-slope form is written as \(y-y_1=m(x-x_1)\), where \(m\) is the slope, and \((x_1, y_1)\) is a point

If two lines are parallel to each other, it means they have the same slope.

The line y = 3/4x-4 is written in the form slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.

As 3/4 is in the place of where m is, 3/4 is the slope of this line.

It is also the slope of our new line.

So we can substitute 3/4 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=\frac{3}{4} (x-x_1)\)

Now, we need to replace the values of \(x_1\) and \(y_1\) with a point.

Since we are given (-1, 7), and that it passes through the line, it means that we can use its values in the equation.

Note that we have subtraction in this equation, so when we use a negative number, we still write the subtraction sign in front of the minus sign the negative number has. Just because the number is already negative doesn't mean we ignore the minus sign the formula gives.

\(y-7=\frac{3}{4} (x--1)\)

We can simplify this equation, as --1 is the same as +1.

\(y-7=\frac{3}{4} (x+1)\)

Answer:

Cannot be determined

Step-by-step explanation:

We only know one angle and we could only compare one set of sides.

We do not have enough information to determine if the triangles are similar

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

Answer:

No

Step-by-step explanation:

Let's look at an example

24

24 is divisible by 6   24/6 = 4  

24 is divisible by 8   24/8 = 3

24 is not divisible by 48  24/48 = 1/2  which is not an integer