y-8= 4(x-10

...............

Answer:

62

Step-by-step explanation:

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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Answer:

(0, 1)

Step-by-step explanation:

y - 4x = 1 crosses the y-axis at (0, 1)

Answer:

(0,1)

Step-by-step explanation:

The highest row subscript for the integer numbers array is 4. The array `integer numbers` is a two-dimensional array with the following elements:{{1, 2}, {3, 4}, {4, 5}, {6, 7}, {8, 9}}.

Given array is `dim integer numbers(,) as integer = {{1,2},{3,4},{4,5},{6,7},{8,9}}

The highest row subscript for the integer numbers array is 4.

The first dimension has five elements, and the second dimension has two elements. The row subscripts for the integer numbers array range from 0 to 4.

The row subscript starts with 0 and ends with one less than the number of elements in the row, so the highest row subscript for the integer numbers array is 4.

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Answer:

430

Step-by-step explanation:

Therefore, the answer is 430.

Answer:

x=10

Step-by-step explanation:

3(4x-12) = 84

Divide each side by 3

3/3(4x-12) = 84/3

4x-12 =28

Add 12 to each side

4x-12+12 = 28+12

4x= 40

Divide each side by 4

4x/4 = 40/4

x = 10

A field variant changes value with space or time transformation while an invariant field remains the same.

Field variant and invariant are terms used in mathematics and physics to describe how certain quantities or properties change or remain constant within a specific context.

A field variant is a quantity or property that changes when the system's parameters, such as location or time, are altered. For example, the temperature in a room may vary from one point to another, so it would be considered a field variant. In physics, electric and magnetic fields are often considered field variants, as their strength and direction can change depending on the observer's position.

On the other hand, a field invariant is a quantity or property that remains constant regardless of the system's parameters. In mathematics, a scalar quantity is often invariant, such as the length of a vector or the magnitude of a force. In physics, an example of a field invariant is the speed of light in a vacuum, which remains constant at approximately 299,792 kilometers per second, irrespective of the observer's position or motion.

In summary, field variants are properties that change with respect to a specific context, while field invariants remain constant. Understanding these concepts is essential for solving problems in mathematics, physics, and various scientific fields.

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The value of x is  r-s/(sp-rq)

px + 1/qx + 1= r/s

Cross multiply both sides

s(px + 1)= r(qx + 1)

spx + s= rqx + r

collect the like terms

spx-rqx= r-s

x(sp-rq)= r - s

Divide both sides by the coefficient of x which is (sp-rq)

x(sp-rq)/(sp-rq)= r-s/(sp-rq)

x= r-s/(sp-rq)

Hence the value of x is r-s/(sp-rq)

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Answer:

The highest common factor of 70 and 126 is 14.

Step-by-step explanation:

16 points

Hi there !

What is his  score?

6×4 - 4×2 =

= 24 - 8

= 16 points

Good luck !

Answer:

marks awarded for each correct answer = 4

marks awarded for each incorrect answer = -2

No.of Sunil's correct answer = 6

therefore, mark of Sunil's correct answer = 6 x 4 = 24

No.of Sunil's incorrect answer = 4

therefore, mark of Sunil's incorrect answer = 4 x -2 = -8 (here + and - is                                                                                                                  multiplied therefore the final answer will be -)

Sunil's total score = 24(positive marks) - 8(negative marks)

                               =24-8 = 16

This also is an integer question right?       ^_^                                                                                                                                                                  

A circle is a curve sketched out by a point moving in a plane. The measure of the angle is 72°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Let the angle that turns through 1/5 of the circle be x.

We know that the measure of the center of a circle is 360°, while it is given that the angle turns through 1/5 of the circle. Therefore, the angle will turn 1/5 of 360°.

x = 1/5 of 360 = 72°

Thus, the measure of the angle is 72°.

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The change in air pressure when the pure tone is produced is mathematically given as

p(1/2000) =0 mP

This pressure is referred to as the atmospheric pressure, air pressure, or simply pressure. It is the force that is exerted on a surface by the air that is above it due to the gravitational pull that gravity has on the surface. A barometer is an instrument most often used to measure the pressure of the atmosphere. When the pressure in the atmosphere changes, a column of mercury contained inside a glass tube in a barometer will either rise or sink.

Generally, the equation for is pressure  mathematically given as

\(p(t) =2sin (4000\pi t)\)

Therefore

p(1/2000) =2sin (4000\pi *1/2000)

p(1/2000) = 2sin (2\pi)

p(1/2000) = 2*0

p(1/2000) =0 mP

In conclusion, the pressure

p(1/2000) =0 mP

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Answer:

D. 96

Step-by-step explanation:

Answer:

6,7 x+9

Step-by-step explanation:

\(3( \frac{7}{5} x + 4) - 2( \frac{3}{2} - \frac{5}{4} x) \\ 4.2x + 12 - 3 + 2.5x \\ 6.7x + 9\)

The probability that more boys than girls are chosen is 0.4590

as we know,

Probability of any event P(E) = \(\frac{Number of favorable outcomes}{Total number of outcomes}\)

We have to chose five students to do presentations and also number of boys must be greater than the girls.

In classroom there are 12 boys and 13 girls.

So, Possible arrangements can be: B - Boys, G - Girls

(3B, 2G) , (4B, 1G) , (5B, 0G).

Note: nCr = n! / ( (r!) x (n-r)! ) also see the attached figure.

To choose 5 students out of 25 students to do the presentation 25 C 5

25 C 5 = 25! / (5! x 20!) = 53,130

(3B, 2G) :

To chose 3 Boys out of 12 Boys 12 C 3 = 12! / (3! x 9!) = 220

To chose 2 Girls out of 13 Girls 13 C 2 = 13! / (2! x 11!) = 78

(4B, 1G) :

To chose 4 Boys out of 12 Boys 12 C 4 = 12! / (4! x 8!) = 495

To chose 1 Girl out of 13 Girls 13 C 1 = 13! / (1! x 12!) = 13

(5B, 0G) :

To chose 5 Boys out of 12 Boys 12 C 5 = 12! / (5! x 7!) = 792

To chose 0 Girl out of 13 Girls 13 C 0 = 13! / (0! x 13!) = 1

here, 0! is equal to 1.

Now, the probability that more boys than girls are chosen =

\(\frac{(220 *78) + (495 * 13) + (792 * 1) }{53,130}\)

P(E) = 0.4590

Hence, the probability that more boys than girls are chosen is 0.4590.

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Please find attached the image of the graph that models the function.

A graph is a pictorial representation of data. A graph is made up of the x-axis and the y-axis.  On this graph, the number of years is on the y-axis and the profit is on the x-axis.

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Answer: other dude is correct

Step-by-step explanation:

⟹Answer:

➧Lucas can cut the wire into 12 pieces.

Step-by-step explanation:

⟹Lets Solve!

⟹The first step is to convert \(\frac{3}{4}\) into \(\frac{}{16}\) !

      To do this we must find what number multiplied by 4 equals 16.

16 ÷ 4 = 4

⟹Now we know our multiplier is 4. So lets multiply the numerator and denominator by 4.

\(\frac{3}{4} * \frac{4}{4} = \frac{12}{16}\)

\(\frac{12}{16}\)

⟹Next we just divide  \(\frac{12}{16}\) by \(\frac{1}{16}\).

\(\frac{12}{16}\) ÷ \(\frac{1}{16}\) = 12

➧Lucas can cut the wire into 12 pieces.

Woohoo! Brainliest appreciated! Hope I helped!

Based on the original length of the wire and the length Lucas requires, he will have 12 pieces.

The wire is 3/4 feet long and each piece required will be 1/16 feet.

The number of pieces in total is:

= Length of wire / Length of pieces

Solving gives:

= 3/4 ÷ 1/16

= 3/4 × 16/1

= 48/4

= 12 pieces

In conclusion, Lucas will have 12 pieces.

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Yes?? i dont understand the question that much

Step-by-step explanation:

Answer:

sqrt(2)/2

Step-by-step explanation:

Given tan(x)=2-cot(x), find sin(x).

Rewrite in terms of sine and cosine:

sin(x)/cos(x)=2-cos(x)/sin(x)

Multiply both sides by cos(x)sin(x):

sin^2(x)=2sin(x)cos(x)-cos^2(x)

Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:

sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))

Distribute:

sin^2(x)=2sin(x)cos(x)-1+sin^2(x)

Subtracting sin^2(x) on both sides:

0=2sin(x)cos(x)-1

Add 1 on both sides:

1=2sin(x)cos(x)

Use identity sin(2x)=2sin(x)cos(x) to rewrite right:

1=sin(2x)

Since sin(pi/2)=1, then 2x=pi/2.

Dividing both sides by 2 gives x=pi/4.

So sin(pi/4)=sqrt(2)/2

Answer:

5

Step-by-step explanation:

It is 5 because you just have to count by using a jumping math tectechnique.

Answer:

I get 4\(\sqrt{5}\) which is not a choice.

Step-by-step explanation:

Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

Answer: 3 groups

Step-by-step explanation:

Because there is 1 group of cars, one group of shapes, and one group of numbers. That makes it three groups.

Answer:

$1864

Step-by-step explanation:

11% of 1200=132

132×2(years)=264

1200+264=1864

Planning, designing, gathering data, analyzing, creating relevant interpretations, and publishing the research findings are all statistical approaches that go into conducting a study.

The statistical analysis lends meaning to the abstract numbers, giving the data some life. Only when appropriate statistical tests are applied will the results and inferences be accurate. Science's field of statistics deals with gathering, organizing, analyzing, and extrapolating data from samples to the entire population. This necessitates the use of an acceptable statistical test, an adequate study design, and an appropriate study sample selection.  However, if we want additional information about these, a consulting company may be able to assist us. we will benefit more from Silver Lake Consulting for our project.

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Answer:

180

Step-by-step explanation:

A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.

6 × 6 × 5 = .180

The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.

This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.

The final answer is 6*6*5 = 180

so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is  180

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Check the picture below.

so we only want the area in pink.

\(\stackrel{\textit{left and right}}{2(4)(11)}~~ + ~~\stackrel{\textit{front and back}}{2(4)(11)}\implies \text{\LARGE 176}~cm^2\)