help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!

To maximize the profit 29.6 units must be produced.

What is the maxima or minima?

The maxima and minima of a function collectively referred to as extrema in mathematical analysis, are the highest and lowest values of the function, either on the whole domain or within a specific range.

We have given,

The revenue function is,

R(x)=3x

Cost function,

C(x)=0.05x^2+0.04x+10,

Where

x = number of units produced.

Thus, profit = revenue - cost

P(x) = 3x - (0.05x^2+0.04x+10)

= -0.05x^2 + 2.96x - 10

Differentiating with respect to x,

P'(x) = -0.1x + 2.96

Again differentiating with respect to x,

P''(x) = -0.1

For maxima or minima,

P'(x) = 0,

0 = -0.1x + 2.96

-0.1x = -2.96

x = 2.96/0.1

For x = 29.6,

P''(x) = negative,

Hence, to maximize the profit 29.6 units must be produced.

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An equation is formed when two equal expressions. The time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.

When two equal expressions are added together with the aid of the equal sign "=," an equation is created.

Given that the time it takes a water pump to empty a tank directly correlates with the tank's capacity. Consequently, the relationship can be expressed as,

V ∝ T

V = kT

Substituting the volume and time in the equation,

60,000 gallons = 2.5 hours × k

Solving the equation for k,

k = 60,000 gallons / 2.5 hours

k = 24,000 gallons per hour

Now, the equation for the relationship can be written as,

V = 24,000 gallons per hour × T

Now, the time the same pump will take to empty a tank containing 108,000 gallons of water is,

V = 24,000 gallons per hour × T

108,000 gallons = 24,000 gallons per hour × T

108,000 gallons / 24,000 gallons per hour = T

T = 4.5 hours

Hence, the time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.

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The mean lifetime of a bulb is 149.37 hours.

What is the meaning of mean?

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined. Mean is equal to (Sum of All Observations/Total Observations).

The given table represents a continuous data.

The table attached in below. To get mean lifetime of a bulb, find the mean of the given table.

The formula for mean is = Σ fm/N

Where f is frequency and m is midpoint of the class.

N is total number of observation.

From the table, Σ fm = 53175

Total number of bulb is 356.

The mean lifetime is 53175/ 356 = 149.37 hours

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Answer: a

Step-by-step explanation:

The value of n from the given parallel lines is 6. Therefore, the option A is the correct answer.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, the angles from the parallel lines are (3n+16)° and (5n+4)°.

Here, (3n+16)°=(5n+4)° (Interior alternate angles are equal)

5n-3n=16-4

2n=12

n=6

Therefore, the option A is the correct answer.

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a. [tex]123.1(1.069)^3 \approx 150.4[/tex]

b. [tex]123.1(1.069)^{20} \approx 467.5[/tex]

The time that Diana spent looking at the exhibits is given as follows:

1.582 hours.

As stated in the problem, the total time that Diana spent at the museum is given as follows:

3 hours.

The total time that Diana spent at the museum was divided into two activities, presented as follows:

The times of each activity are given as follows:

Then the time that Diana spent looking at exhibits is obtained as follows:

x + 1.418 = 3

The time is obtained by the subtraction of 3 by 1.418 as follows:

x = 3 - 1.418

x = 1.582 hours.

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Answer: 12cm^2

Step-by-step explanation: We use the equation 1/2(bh) to get the area. If you put the number in the equation you will get the answer 12.

Answer:

5cm. 8cm

Step-by-step explanation:

Label all the vertices then use Pythagorean theorem

c² = a² + b²

Answer:

18k +37

Step-by-step explanation:

13k + 7 + 5(k + 6)

13k + 7 + 5k + 30

13k + 5k + 7 + 30

18k +37

Answer:i don't know I just need the points

Step-by-step explanation:

The formula for y in terms of x in its simplest form is y=5120/27x⁴.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

Form an equation for y and t first.    

y∝ t²       y=15  t=9

y=kt²

15=k(9²)

15=k(81)

15=81k

Divide both side by 81

5/27 =k

Equation y=5/27t²

Form an equation for t and x

t∝1/x²      t=8  x=2

t=k/x²

8=k/2²

8=k/4

Multiply both side by 4

32=k

Equation: t=32/x²

Replace t with 32/x² in other equation .

y= 5/27 (32/x²)²

y=5120/27x⁴

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The exact value of sin(u + v), obtained using trigonometric identities is for sine and cosine is 16/65

Trigonometric identities are equations that involve trigonometric functions that are valid for all values of the input variable.

The possible value of sin(u) obtained from a similar question posted online is; sin(u) = 5/13

Both u and v are in quadrant II

The trigonometric identity of the addition formula for the sine of the sum of two angles, indicates;

sin(u + v) = sin(u)·cos(v) + sin(v)·cos(u)

sin(u) = 5/13

cos(v) = -4/5

sin(v) = √(1 - (cos(v))²)

Therefore;

sin(v) = √(1 - (-4/5)²) = 3/5

cos(u) = √(1 - (sin(v))²)

Therefore;

cos(u) = √(1 - (5/13)²) = 12/13

Therefore;

sin(u + v) = (5/13) × (-4/5) + (3/5) × (12/13) = 16/65

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They do not have enough stones and the quantity that they need is of 46 stones.

The quantities in this problem are given as follows:

Then the equation to obtain the solution for x is given as follows:

x + 8361 = 16351.

x = 16351 - 8361

x = 7990 stones remaining.

The amount of stones that they have is given by:

7944.

Which is less than 7990 stones, hence the do not have enough stones and the quantity that they need is given by the subtraction of 7990 and 7944 as follows:

7990 - 7944 = 46 stones.

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If one serving is 1/4 of the pizza, then the number of servings left is 10.5 servings

Total number of pizza = 3

Each pizza was cut into 8 slice.

Total number of slices = 3 × 8

= 24 slices

He ate 3 slice of pizza

Remaining slices = 24 - 3

= 21 slices

The fraction pizza that left = 21/24

If one serving of pizza is 1/4 of the pizza, that is the 1/12 of three pizza

Number serving left = The fraction pizza that left ÷  one serving of pizza

= 21/24 ÷ 1/12

= 21/24 × 12

= 10.5 servings

Hence, there will 10.5 servings left

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Answer:

3 pounds:

3 ÷ [tex]\frac{1}{8}[/tex] = 24

7 pounds:

7÷[tex]\frac{1}{8}[/tex] = 56

Step-by-step explanation:

3÷[tex]\frac{1}{8}[/tex] = [tex]\frac{3}{1}[/tex] x [tex]\frac{8}{1}[/tex] = [tex]\frac{24}{1}[/tex] = 24

If it takes 1/8 of a pound to make 1 hamburger.  Then it would take 1 pound to make 8 hamburgers.  

3 x 8 = 24

7x8 = 56

The expression equivalent to x⁶ - 9 is : (x³)² - 3²

A statement is considered to be an expression if it contains at least two numbers or variables and one mathematical action.

Power is the factor that is multiplied by itself, and exponent is the number of times the same base number has been multiplied.

Calculation:

we have given ,

x⁶ - 9

now we know that,

(xᵃ)ᵇ - yᵇ

similarly,

(x³)² - 3² = x⁶- 9.

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Answer:

12.8

Step-by-step explanation:

You can see that triangle DAF and BED are equal.

So lineAF is lineDE.

6.4*2=12.8.

If a function f(w) = w³ + 2w² - 11w - 12 is divided by (w - 3) then the remainder would be 0.

What is a  polynomial long division?

Polynomial long division is an algorithm in algebra for dividing a polynomial by another polynomial of the same or lower degree, which is a generalized version of the well-known arithmetic technique known as long division. It is simple to do by hand because it divides an otherwise complex division problem into smaller ones.

The given polynomial function is  [tex]f(w)=w^3+2w^2-11w-12[/tex].

And we have to divide the above function by (w - 3).

                                     [tex]=\frac{w^3+2w^2-11w-12}{w-3}\\\\=w^2+\frac{5w^2-11w-12}{w-3}\\\\=w^2+5w+\frac{4w-12}{w-3}\\\\=w^2+5w+4(\frac{w-3}{w-3})\\\\=w^2+5w+4[/tex]

Hence, after taking division, the remainder would be 0.

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True, Alyssa is learning to drive and is paying close attention to the road conditions, other vehicles on the road, and traffic signs and signals. This focus is a quality of hers.

What is Focus during the Drive?

It means to concentrate only on driving during the time of driving to avoid accidents etc. Yeah when she is driving the car she must focus intently on car and on nothing else because she is a beginner. When people get experience in driving cars they use mobile phones etc kind of things easily during driving but beginners have to be careful a lot regarding this. Its very very good if she is also focusing road signs like zebra crossing and where traffic signals are there it would help her in great way

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In this Trigonometric Functions F(x) = 1 + cos(1/X):  n=3 (12.01, 8.10),  n=4 (11.65,8.50), and n=6 (11.24, 9.12), with their upper and lower value

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

F(x) = 1 + cos(1/X)

for n=3

Upper sum = 12.01

Lower sum = 8.10

Δx = (b-a)/n = 2π / 3

for n=4

Upper sum = 11.65

Lower sum = 8.50

Δx = (b-a)/n = π / 2

for n=6

Upper sum = 11.24

Lower sum = 9.12

Δx = (b-a)/n = π / 3

Hence, n=3 (12.01, 8.10),  n=4 (11.65,8.50), and n=6 (11.24, 9.12), with their upper and lower value.

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Answer:

B) S is inversely proportional to T.

Step-by-step explanation:

Since S is inversely proportional to T, then S = k/T, where k is a constant.

The solution is Option B , Option C.

The value of S is inversely proportional to the value of T or the value of S is directly proportional to 1/T

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.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

S = k/T   be equation (1)

The equation is of the form y = kx where k is the proportionality constant

The equation is true when it is directly proportional to the value

So , S ∝ 1 / T

where k is the proportionality constant

On simplifying the equation , we get

S = k ( 1 / T )

From the equation , we can see than S is inversely proportional to T

And ,

From the equation , we can see that S is directly proportional to ( 1 / T )

Hence , the proportion is S ∝ 1 / T and k is the proportionality constant

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The linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

Given, data for a classroom of students who measured each (approximately) in inches.

Femur Length 18.7 14.2 20.5 15.9 16.2 13.1 15.0 12.4 19.0 16.2 21.3

Tibia Length  15.8 21.0 16.2 14.3 12.1 15.8 13.0 18.8 14.3 18.7 13.8

we have to find a linear correlation between the two variables,

linear correlation be,

(y - 15.8)/(x - 18.7) = (15.8 - 21.0)/(18.7 - 14.2)

(y - 15.8)/(x - 18.7) = (- 5.2)/4.5

4.5y - 71.1 = -5.2x + 97.24

4.5y + 5.2x = 168.34

So, the linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

Hence, the linear correlation between the given two variables be,

4.5y + 5.2x = 168.34

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The graph that shows the equation, y = -5x + 45, that represents the scenario given is shown in the attachment.

Determine the slope (m) and the y-intercept (b), then input the values in the equation, y = mx + b, to write the equation of the line that would be graphed.

Given the information above, we have the following:

Let x = hours, and y = quantity  of gallons of paint left

Slope (m) = -5

Y-intercept (b) = 45

Write the equation of the graph by substituting m = 5 and b = 45 into y = mx + b:

y = -5x + 45

The graph shown below for y = 5x + 45 would be labelled as follows:

x-axis = hours

y-axis = quantity of paint (in gallons)

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ΔXYZ will also be an equilateral triangle.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean space, an equilateral triangle also is equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It's also referred to it as a regular triangle because it is a regular polygon.

As X,Y,Z are the midpoints of sides of equilateral triangle so when we will join the X,Y,Z we will find that distances XY=YZ=XZ are three are equal because this is proved by similarity of triangles which in itself is a detailed and vast topic

Hence XYZ will also be an equilateral triangle

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a) k = 1/2 then v = 1 cubic unit

b) k = 0.6 then v = 1.728 cubic units

c) k = 1 then v = 8 cubic units

d) k = 1.5 then v = 27 cubic units

The value of scale factor k, which is used to obtain a solid with volume v cubic units by 8 cubic unit is, ∛v / 2.

Here the new volume of the solid is find out by the volume of 8 units and the scale factor k. Thus the scale factor k should be equal to the ratio of the volume of these two solid.

The volume of the solid is represents in cubic units. Thus, k = ∛(v/2)

k = (∛v) / 2

a) k = 1/2

(1/2)³ * 2³ = v

v = 1 cubic units

b) k = 0.6

(0.6)³ * 8 = v

0.216 * 8 = v

v = 1.728 cubic units

c) k = 1

1³ * 8 = v

v = 8 cubic units

d) k = 1.5

(1.5)³ * 8 = v

3.375 * 8 =v

v = 27 cubic units

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Answer:

15 cats

Step-by-step explanation:

c:d

3:5

5=25

25/5=5

5*3=15

15 cats

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

Explanation:

The tape diagram is shown below.

"C" represents a sub-group of cats, and "D" represents a sub-group of dogs. Each sub-group has the same number of animals.

There are 3 copies of "C" and 5 copies of "D" to represent the ratio 3:5 of cats to dogs. For every 3 cats, there are 5 dogs.

We are told there are 25 dogs available for adoption. This consists of all five blocks of "D" combined. If each "D" is the same number of dogs, then there must be 25/5 = 5 dogs per "D" block. By extension, there are 5 cats per "C" block.

In short, each block has 5 animals.

3 blocks of C = 3*5 = 15 cats are available.

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

Another approach:

C = number of cats available = unknown

D = number of dogs available = 25

C/D = 3/5

C/25 = 3/5

5C = 25*3 ... cross multiply

5C = 75

C = 75/5

C = 15 cats are available

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

A third approach:

The ratio 3:5 scales up to 15:25 after multiplying both parts by 5. This is so the "5" in "3:5" becomes "25".

The ratio of cats to dogs of 15:25 reduces to 3:5 when you divide both parts by the GCF 5.

So this is another way to see how 15 cats are available.

The value of h ( 12 ) is 26

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of equation A is

h ( x ) = 4x - 22   be equation (1)

Now , to find the value of h ( 12 ) , substitute the value of x = 12 in the equation , we get

h ( x ) = 4x - 22  

h ( 12 ) = 4 x 12 - 22

On simplifying the equation , we get

h ( 12 ) = 48 - 26

           = 22

Therefore , the value of h ( x ) when x = 12 is 22

Hence , The value of h ( 12 ) is 26

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zeroes are 2,-2,

vertical asymptotes are -1,3

plotted on the number line

---------|---------|---------|---------|---------|---------|

      -2          -1          0          1          2         3

What is vertical asymptote?

A vertical asymptote is a line that appears to correspond with a function's graph but never really touches the curve. When graphing a function, the vertical asymptote of the function is crucial.

The curve is neither touched or crossed by a vertical asymptote, which is a vertical line along which the function becomes unbounded (either y tends to or -). K is NOT present in the domain of the function if x = k is the vertical asymptote of a function y = f(x). Any quantity of vertical asymptotes is possible for a function. i.e., it may have 0 vertical asymptote, 1, 2,..., or a limitless amount. If the y-axis represents the vertical asymptote, we often do not portray it by a dotted line. Instead, we represent a vertical asymptote by a vertical dotted line.

1)

zeros means that the value were g(x) is zero

that means (x-2) and (x+2) = 0

x = 2 ,-2

2)

for vertical asymptote (x+1)and (x-3) = 0

x = -1,3

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Answer:

zero

The x‐axis or any line parallel to the x‐axis has a slope of zero.

Step-by-step explanation:

The Y corodinate on X -axis is constant (zero). So the slope of X-axis is 0. Therefore the answer is zero