10. A company is designing a new cylindrical water bottle. The volume
of the bottle is 103 cubic centimeters. What is the radius of the
water bottle? Estimate using 3.14 for , and round to the nearest
hundredth.

According to the nearest hundredth, the length of the wire in the photograph is 200 cm.

What in mathematics is a semicircle?

By dividing a circle into two halves along a diameter line, a semicircle is created, which is a half-circle.

The wire will be cut into four semicircles, each of which will have a circumference equal to its length.

Therefore, if one semicircle has a diameter of 32 cm, its radius is 32/2 cm, or 16 cm.

Right now, a circle's circumference equals 2*(pi)*(radius).

Since this is a semicircle, its circumference is equal to (pi)*(radius), or one-half of a circle.

The circumference of four semicircles is then equal to four * pi * radius.

Pi has a value of 22/7.

Thus, the length of the wire is 4*(22/7)*16 cm, which, when rounded to the nearest hundredth, is 200 cm.

Visit this link to learn more about Semicircle: brainly.in/question/16713555

#SPJ1

Hence, 201 \(cm^{2}\) long is the wire to the nearest hundredth.

In mathematics, a semicircle is a  one-dimensional locus of points that forms  half of a circle. It is a circular arc that  measures 180°.  It has only one line of symmetry.

In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure .

In other words ,The meaning of circumference is the distance around a circle or any curved geometrical shape. It is the one-dimensional linear measurement of the boundary across any two-dimensional circular surface.

According to figure

diameter of  all semi circle (d) = 32 cm.

so radius of  all semi circle r = \(\frac{32}{2}\) = 16 cm.

length of wire = circumference of semicircle =

⇒ total length length of wire = 4 * circumference of semicircle

                                                                                 {∵ no. of semicircle=4

∴ total length length of wire = 4 * \(\pi*r\)      

∴ total length length of wire = 4 *3.14*16              {we know that , \(\pi=3.14\)

∴ total length length of wire =200.96\(cm^{2}\) ≅ 201\(cm^{2}\)

learn more about Cicumference here:

https://brainly.com/question/20489969

#SPJ1.

We can start by rearranging the equation of the parabola into vertex form:

9x^2 = -8y

x^2 = (-8/9)y

Completing the square, we get:

x^2 = (-8/9)(y + 0)

x^2 = (-8/9)(y - 0)

The vertex is (0,0), and the parabola opens downwards since the coefficient of y is negative. The distance from the vertex to the focus is given by:

4p = -8/9

p = -2/9

Therefore, the focus is located at (0, -2/9). The directrix is a horizontal line located at a distance of p below the vertex, so it is given by:

y = p = -2/9

To sketch the graph, we can plot the vertex at (0,0) and then use the focus and directrix to draw the parabola symmetrically. The parabola will open downwards and extend infinitely in both directions. Here is a rough sketch of the graph:

```

    |

    |

-----o-----

    |

    |

```

To know more about vertex , refer here :

https://brainly.com/question/30940247#

#SPJ11

Answer: 1  - 2 + 4 - 8 + 16

Step-by-step explanation:

Answer:

-1-2-4-8-16

Step-by-step explanation:

(-2⁰)+(-2¹)+(-2²)+(-2³)+(-2⁴)

-1-2-4-8-16

-31

Answer:

Since 2032 gt 1651, we divide 2032 by 1651 to get 1 as quotient and 381 as remainder. step 2. Since the remainder 381≠0 , we divide 1651 by 381 to get 4 as quotient and 127 as remainder.

Step-by-step explanation:

Euclid algorithm lemma, a = bq + r where 0 ≤ r < b

From Euclid algorithm lemma, 2032 = 1651 × 1 + 381

Using lemma for 1651 and 381, e.g., 1651 = 381 × 4 + 127

Similarly, use lemma for 381 and 127, e.g., 381 = 127 × 3 + 0

Hence, HCF = 127

Now, 127 = 1651M + 2032 N

⇒127 = (127 × 13)M + (127 × 16)M

⇒1 = 13M + 16 N

Here many solutions possible because we have one equation contains two variable.

Assume M = 5 and N = -4

Then, 13 × 5 + 16 × -4 = 65 – 64 = 1

So, HCF of 1651 and 2032 in the form of 1651M + 2032 N is [1651(5) + 2032(-4)]

There are 3 mangoes left behind after making 39 trays of 9 mangoes each

To find out how many trays can be made from 354 mangoes, we divide the total number of mangoes by the number of mangoes per tray.

Number of mangoes per tray = 9

Number of trays = 354 mangoes / 9 mangoes per tray

Number of trays = 39 trays

So, 39 trays can be made from 354 mangoes.

To determine how many mangoes are left behind, we subtract the number of mangoes used for the trays from the total number of mangoes.

Number of mangoes left behind = Total number of mangoes - Number of mangoes used for trays

Number of mangoes left behind = 354 mangoes - (39 trays * 9 mangoes per tray)

Number of mangoes left behind = 354 mangoes - 351 mangoes

Number of mangoes left behind = 3 mangoes

Therefore, there are 3 mangoes left behind after making 39 trays of 9 mangoes each

Learn more about Mangoes here

https://brainly.com/question/29211275

#SPJ11

Answer:

Each piece of wire was 29/48 yards long.

Step-by-step explanation:

3 5/8 = 29/8

29/8*1/6 = 29/48

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

Learn more about simple interest here: brainly.com/question/25845758

#SPJ1

Raymond's change was $ 4.

Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:

Therefore, Raymond's change was $ 4.

Learn more in https://brainly.com/question/7328385

Answer:

  see attached

Step-by-step explanation:

You want to graph the solution to the inequality 4.5x -100 > 125 on the number line.

The inequality is solved the same way you would solve a 2-step equation:

  4.5x -100 > 125 . . . . . . given

  4.5x > 225 . . . . . . add 100 to both sides to eliminate unwanted constant

  x > 50 . . . . . . . divide both sides by 4.5 to eliminate unwanted coefficient

Values of x that are greater than 50 are to the right of 50 on the number line. An open circle is used at x=50, because x=50 is not part of the solution.

Answer:

7 teams

Step-by-step explanation:

29÷4 which gives us 7 remainder 1 so 1 person will not be included in the team

The absolute maximum and minimum for the function f(x) = x^4 - 4x^3 - 10 are as follows: (A) on the interval [-1,1], there is no absolute maximum; (B) on the interval [0,4], the absolute maximum occurs at x = 2; (C) on the interval [-1,2], the absolute maximum occurs at x = 2.

To find the absolute maximum and minimum of the function, we need to analyze the critical points and the endpoints of the given intervals.
(A) On the interval [-1,1], we first find the critical points by taking the derivative of f(x) and setting it equal to zero: f'(x) = 4x^3 - 12x^2 = 0. Solving this equation, we get x = 0 and x = 3. However, since 3 is not within the interval [-1,1], there are no critical points in the interval. Therefore, we check the endpoints of the interval, which are f(-1) = -14 and f(1) = -12. The function does not have an absolute maximum in this interval.
(B) On the interval [0,4], we find the critical points by setting f'(x) = 0: 4x^3 - 12x^2 = 0. Solving this equation, we find x = 0 and x = 3. However, 0 is not within the interval [0,4]. Therefore, we check the endpoints: f(0) = -10 and f(4) = 26. The absolute maximum occurs at x = 2, where f(2) = 2^4 - 4(2)^3 - 10 = 2.
(C) On the interval [-1,2], we find the critical points by setting f'(x) = 0: 4x^3 - 12x^2 = 0. Solving this equation, we get x = 0 and x = 3. However, 3 is not within the interval [-1,2]. We check the endpoints: f(-1) = -14 and f(2) = -10. The absolute maximum occurs at x = 2, where f(2) = 2^4 - 4(2)^3 - 10 = 2.
Therefore, the answers are: (A) No absolute maximum, (B) Absolute maximum at x = 2, and (C) Absolute maximum at x = 2.

Learn more about absolute maximum here
https://brainly.com/question/28767824



#SPJ11

Answer:

14i

Step-by-step explanation:

Answer:

13.75

Step-by-step explanation:

1.25x9=11.25

25-11.25=13.75

Answer:

\(x=\frac{1\pm i\sqrt{11}}{4}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define Equation

4x² - 2x + 3 = 0

Step 2: Identify Variables

a = 4

b = -2

c = 3

Step 3: Solve for x

Answer:

the exact form is 2/5. the decimal form is 0.4 ig

Step-by-step explanation:

Answer:

this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving

Step-by-step explanation:

Answer:

nnnnnnnnnnnnnnnnno

Step-by-step explanation:

Among Jack, Pandu and  Sam, Pandu scored the best as his marks scored percentage is 60%.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If you need to calculate the percentage of a number, divide the number by the whole number and multiply by 100. Percentages therefore mean 1 in 100. The word percent means around 100. Represented by the symbol '%'. 

Solution according to the information given:

Jack's percentage = (5/10)×100

                               = 50%

Sam's percentage = (22/40)×100

                               = (11/20)×100

                               = 55%

Pandu's percentage = (12/20)×100

                                  = 60%

Thus, Pandu scored the best marks by scoring 60%.

To learn more about percentage, visit the link below

https://brainly.com/question/29306119

#SPJ1

Answer:

1300

Step-by-step explanation:

130×10 thats the answer yoo

Answer:

z^2 - 8z + 15

Step-by-step explanation:

hope this helps <3

Answer:

z = -8

Step-by-step explanation:

subtrat -5 from -3 and you should get -8. I'm bad at explaining I'm sorry but I hope this helps. My work is shown in the image attacteched to this.

The derivative of f(x) = 5x² + 2 is f'(x) = 10x.

To find the derivative of the function f(x) = 5x² + 2 using the definition of the derivative, we can apply the limit definition:

f'(x) = lim (h -> 0) [f(x + h) - f(x)] / h

Let's calculate it step by step:

f(x + h) = 5(x + h)² + 2 = 5(x² + 2xh + h²) + 2 = 5x² + 10xh + 5h² + 2

Now, we substitute the expressions back into the definition:

f'(x) = lim (h -> 0) [(5x² + 10xh + 5h² + 2) - (5x² + 2)] / h

Simplifying further:

f'(x) = lim (h -> 0) (10xh + 5h²) / h

Canceling out the common factor of h:

f'(x) = lim (h -> 0) 10x + 5h

Taking the limit as h approaches 0, we can remove h from the expression:

f'(x) = 10x

To know more about derivative:

https://brainly.com/question/32963989

#SPJ4

2 apples is equivalent to 6 bananas.

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here; Scale1 as 20 bananas equal to 4 pineapples

Scale 2 as 2 pineapple equals 4 bananas and 2 apple

Let the weights of pineapple, bananas , apple as x,y,z respectively

Thus 20y=4x

      or x=5y

Again 2x=4y+2z

or      10y=4y+2z

          6y=2z

           z=3y

Thus 2 apples or 2z=6y that is 6 bananas

Hence, 2 apples is equivalent to 6 bananas.

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ1

Answer:

I can confirm that the answer above is correct.

Step-by-step explanation:

Hope this helps. :D

The equation of the least squares regression line which is most closely matches the data set is yˆ=−10.1x+118.8

Linear regression is a type of regression which is used to model the data having linear relationship between the variables. The regression line can be given as,

\(\hat y=bX+a\)

The data given in the problem is,

Mean of x and y values,

\(\mu_x=\dfrac{2 +4 +6 +8 +10}{5}=6\\\mu_y=\dfrac{100 +83 +50 +35 +23}{5}=58.2\)

Here, in this data points, the sum of the squares is 40 and sum of the products is -404. The value of b is,

\(b=\dfrac{-404}{40}\\b=-10.1\)

The value of a is,

\(a=58.2-(10.1\times6)\\a=118.8\)

Put the values in the above equation,

\(\hat y=-10.1X+118.8a\)

Thus, the equation of the least squares regression line which is most closely matches the data set is yˆ=−10.1x+118.8

Learn more about the linear regression here;

https://brainly.com/question/25226042

#SPJ2

Answer:

This has multiple answers:

(4, -2) (2, -4) (8, -1) (1, -8)

Step-by-step explanation:

4*-2 = -8

-4* 2 = -8

-1*8 = -8

1*-8 =-8

The expression that most accurately describes the change in the patient's temperature is -2° (3).

Option 3 is the correct answer.

We have,

The expression that most accurately describes the change in the patient's temperature would be:

-2° + (-2°) + (-2°)

This expression represents the successive temperature drops of 2° each time.

By adding the negative values, we account for the decrease in temperature.

This can be written as,

= -2° x 3

= -2° (3)

Thus,

The expression that most accurately describes the change in the patient's temperature is -2° (3).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

D.4x + 6y - 14

This is the answer