Find the mass of each object. (Round answers to two decimal places.) (a) A thin copper wire 1.75 feet long (starting at x = 0) with density function given by p(x) = 4x^² + 3x lb/ft. m = ____Ib

The stationary shop had 90 pens with them initially.

Let,

The number of pens initially at the stationary shop=x

The number of pens and the number of notepads are said to be equal. Therefore, The number of notepads initially at the stationary shop=x

After selling,

The number of pens = x-1250

The number of notepads = x-380

The number of pens was four times the number of the number of notepads. Modelling the linear equation for the situation:

x-1250=4(x-380)

x-1250=4x-1520

x=4x-270

-3x=-270

x=90

The stationary shop had 90 pens initially.

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Answer:  56.24545388

Step-by-step explanation:

A common question is How many pound in 124 kilogram? And the answer is 273.373205109 lbs in 124 kg. Likewise the question how many kilogram in 124 pound has the answer of 56.24545388 kg in 124 lbs.

By  converting 124 pound to kilogram has the answer of 56.24545388 kg in 124 lbs.

To convert 124 lbs to kg multiply the mass in pounds by 0.45359237. The 124 lbs in kg formula is [kg] = 124 * 0.45359237. Thus, for 124 pounds in kilogram we get 56.24545388 kg.

The fundamental mass unit in the metric system is the kilogramme (kg). The mass of 1,000 cubic centimetres of water is very close to (and was originally intended to be exactly) one kilogramme. The actual weight of a pound is 0.45359237 kg.

In its initial form, a solid platinum cylinder served as the kilogram's symbol in the late 18th century. However, it turned out to be difficult and cumbersome to measure the mass of a volume of water, thus the platinum artefact itself ended up being the standard. It was replaced in 1889 by a standard kilogramme, which was constructed of the same platinum-iridium alloy as the bar being used at the time to define the metre and was also a solid cylinder with a height equal to its diameter.

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Answer:

6:5

Step-by-step explanation:

divide both numbers by using gcd/ greatest common divisor

= 12:10/ 2

=6:5

please mark me as brainliest!!! Good luck with your tests!

Answer:

Step-by-step explanation:

this is called a ratio and proportion or similar triangles

  21    =     35  

 31.5           x

do cross multiply:

21 x = 31.5 (35)

x = 1102.5 / 21

x = 52.5 cm

The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).

To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :

A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).

B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.

C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.

D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.

E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.

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Answer:

5x18=90

19x17=36

Step-by-step explanation:

Answer:

it is a dotted line, because of the < symbol. If there is no line under < then it is dotted, but if there is a line under the < symbol it will be solid

Step-by-step explanation:

Answer:

the equivalent ratio in the question above is 2:3

diameter = 4 cm

so radius r  = 4 : 2 = 2 cm

area of a circle = pi x r² ≈ 3,14 x 2² = 12,56 cm²

Answer:

x < -3

Step-by-step explanation:

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

Answer:

7.0

Step-by-step explanation:

When doing trigonometry, remember SOH-CAH-TOA...

Sine : Opposite/Hypotenuse

Cosine : Adjacent/Hypotenuse

Tangent : Opposite/Adjacent

In this figure, we are given the measure of a 23° angle, and two sides that are opposite of the angle, and the hypotenuse.

This means we need to use sine:

\(sin(23)=\frac{x}{18}\)

Multiply both sides by 18:

\(18sin(23)=x\)

\(18(0.391)=x\\x=7.038\\x\approx7.0\)

Answer:

The answer is 1

Hope this is correct

HAVE A GOOD DAY!

Answer:

m = 3(-n+2) / 5

Step-by-step explanation:

10m + 6n = 12

       -6n     -6n

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

10m = 12 - 6n

/10           /10

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

m = 3(-n+2) / 5

Answer:

I hate math too <3

Increasing: [0,1]

Decreasing: (infinity,0] U [1,infinity)

Answer:

dec: (-∞,-2) and (1,∞)

inc: (-2,1)

Step-by-step explanation:

A graph is decreasing when the y values are decreasing while the x values are increasing, so in the first part when you're going from left to right the graph is decreasing because the y values decrease while x increases  

Neither the statement "W is not a subspace of R3 because it is not closed under addition" nor the statement "W is not a subspace of R3 because it is not closed under scalar multiplication" is valid.

The set W is an R3 subspace with ordinary operations. To demonstrate that W is a subspace of R3, we must demonstrate that it meets three subspace properties: (1) it includes the zero vector, (2) it is closed under addition, and (3) it is closed under scalar multiplication.

Since W satisfies all three properties of a subspace, it is a subspace of R3 with the standard operations. Therefore, both statements "W is not a subspace of R3 because it is not closed under addition" and "W is not a subspace of R3 because it is not closed under scalar multiplication" are incorrect.

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we have the quadratic equation

w (x) =2x^2+10x+13

Solve the equation using the formula

so

a=2

b=10

c=13

substitute

The given equation don't have real zeros

The solutions are complex numbers

Answer:

15 students.  30%

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

Three different vectors are [-8, 14],  [-6, 16], and [15, -18].

To find three different vectors that are in the span of the given vectors \(u_1\) = [-3, 8] and \(u_2\) = [-5, 6], we can use linear combinations of these vectors.

Let's call the three different vectors \(v_1\), \(v_2\), and \(v_3\). We can express them as follows:

\(v_1\) = \(u_1\) + \(u_2\) = [-3, 8] + [-5, 6] = [-3 + (-5), 8 + 6] = [-8, 14]

\(v_2\) = 2\(u_1\) = 2[-3, 8] = [-6, 16]

\(v_3\) = -3\(u_2\) = -3[-5, 6] = [15, -18]

Therefore, three different vectors that are in the span of \(u_1\) and \(u_2\) are \(v_1\) = [-8, 14], \(v_2\) = [-6, 16], and \(v_3\) = [15, -18].

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The standard equation of the circle is x² + y² = 6²

A circle is a set of all points which are equally spaced from a fixed point in a plane. The fixed point is called the center of the circle. The distance between the center and any point on the circumference is called the radius of the circle.

The standard equation of a circle is given by:

(x-h)² + (y-k)² = r²

The equation given is ;

x² + y² - 36 = 0

The equation can be rewritten as;

(x - 0)² + (y - 0)² = 6²

x² + y² = 6²

NB: The radius is 6

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Answer:

because they are not equal in size

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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Answer:

Step-by-step explanation:

5/10=0.5

3/9=0.33

5/6=0.833

when the numerator is divided using the denominator if 0 is obtained as a reminder, such a division is a termination division, else if the remainder keeps repeating itself after some time, it's called a recurring division.

1st part of the question:

5/10 = 0.5(terminal division)

2nd part of the question:

3/9 = 1/3=0.33(recuuring division)

3rd part of the question:

5/6=0.833(recurring division)

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Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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Answer:

the x is -8,0 and the y is 0,2

hope this helps!

Answer: (1,2)

Step-by-step explanation:

1)

x+y=3

y=-x+3

x | 0 | 3 |

y | 3 | 0 |

2)

3x+y=5

y=-3x+5

x | 0 | 2 |

y | 5 | -1 |

The area of this trapezoid is A = 55

We know that the application formula for calculating the area of a trapezoid is given by:

\( \boxed{ \large \sf A = \dfrac{(b + b) \times h}{2} } \\ \\ \)

⚘ Then, the resolution will be:

\({ \large \sf A = \dfrac{(7 + 15) \times 5}{2} } \)

\({ \large \sf A= \dfrac {22 \times 5}{2} } \)

\({ \large \sf A= \dfrac {110}{2} } \)

\(\pink{ \boxed{ \purple{ \boxed{ \large \sf A= 55 }}}} \\ \\ \)

Therefore, the area of this trapezoid will be, A = 55