The ratio of health club members who use trainers to those who do not
is 2:7. There are 306 members who use trainers. How many members
does the club have?

Answer:

N (3×4) or (N×3) 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

19/4 + 29/5

2.75 + 5.8

= 8.55

Answer:

The volume of the composite figure is approximately 434.041 cubic centimeters.

Step-by-step explanation:

The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:

[tex]V = V_{c} + V_{h}[/tex] (1)

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)

Where:

[tex]w[/tex] - Width, in centimeters.

[tex]h[/tex] - Height, in centimeters.

[tex]l[/tex] - Length, in centimeters.

[tex]R[/tex] - Radius, in centimeters.

If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]

[tex]V \approx 434.041\,cm^{3}[/tex]

The volume of the composite figure is approximately 434.041 cubic centimeters.

Answer:

C or D

Step-by-step explanation:

Answer:

In order to make it easier for you to understand and helps in making problems more easier and faster to do

Answer:

0.637 m or 63.7 cm

Step-by-step explanation:

Formula

d = n *  pi di

Givens

di = diameter and is unknown

n = 29 times

d = 58 meters

Solution

58 = 29 * 3.14 * di

2 = 3.14 * di

2/3.14 = di

d = 0.637 meters

or

d = 63.7 cm

Answer:

65

Step-by-step explanation:

using the ratio we can find the side lengths of the other triangle.

since it is 2:5

6:x=2:5

so x = 15(first side)

8:x=2:5

so x = 20(second side)

12:x=2:5

x=30(third side)

so then we add them up

15+20+30

65

hope this was helpful

Answer:

You'd want to divide.

Step-by-step explanation:

Let's say you got a 9/10 on a test.

You'd do 9 divided by 100 and multiply it by 10 to get 90%

That is how you solve a percentage problem

FORMAT IN LESS DETAILED EXPLANATION:

9/100x10=90%

Nine divided by one-hundred times ten equals ninety percent

Answer:

2 real solutions

Step-by-step explanation:

The formula for determining the discriminant is b² - 4ac.

So, let's identify our variables.

a = 1

b = 3

c = 2

Now, we can plug in our values.

3² - 4(1)(2)

9 - 8

1

1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north

Here we have the inequalities:

(x - 20)^2 + (y - 14)^2 ≤ 625

(x + 8)^2 + (y - 3)^2 ≤ 196

Where, x is the distance due east, and y is the distance due north.

So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:

x = -4

y = -12

Replacing that on the first inequality we get:

(-4 - 20)^2 + (-12 - 14)^2 ≤ 625

1,252 ≤ 625

This is false, so this option is not correct.

Now we just need to check the other options. Particularly for the third we have:

x = 2

y = 10

Replacing that in both inequalities we get:

(2 - 20)^2 + (10 - 14)^2 ≤ 625

340 ≤ 625 (true).

(2 + 8)^2 + (10 - 3)^2 ≤ 196

149 ≤ 196 (true)

So at 2km east and 10km north of Columbia, the two earthquakes can be felt.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

Answer:

42

Step-by-step explanation:

Uh, I'm guessing what is being asked here is to solve, so, time to distribute.

(6 - 2.5)(8 + 4)

48 + 24 - 20 - 10

42

Answer:

{}

Step-by-step explanation:

Thats actually the answer believe it or not :)

Answer:

3

Step-by-step explanation:

3 appears the most (twice)

The rest of the numbers only appear once

Answer:

The perimeter is 27 km

The area is 21 km^2

Step-by-step explanation:

The perimeter of a triangle will just be all of the sides added up.

12 + 9 + 6 = 27 km

The area of a triangle is:

A = 1/2 * base * height

The base is 6 km, and the height is 7 km. Substituting the values in and solving, we get:

A = 1/2 * 6 * 7

A = 3 * 7

A = 21 km^2

Answer:

a=4bc

a=4(4)(-3)=-48

a= - 48 when b equals to 3 is equals to - 8

The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."

To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:

a/bc = k

where k is the constant of variation.

Substituting the given values:

a/(4)(-3) = k

Simplifying, we have:

a/-12 = k

Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:

a/(-12) = k

a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)

a = 96

Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

Learn more about direct variation here:

https://brainly.com/question/29150507

#SPJ2

A cylinder shaped water pitcher has a radius of 5 inches and a height of 12.5 inches. Find the surface area of the pitcher.

[tex] \bullet [/tex] Radius (r) of a cylinder shaped water pitcher = 5 inches.

[tex] \bullet [/tex] Height (h) of a cylinder shaped water pitcher = 12.5 inches.

The surface area of the pitcher.

We know,

Formula of Surface area of a cylinder is 2πr(r + h) sq. units.

So,

Surface area of the pitcher = 2 × 3.14 × 5(5 + 12.5)

Surface area of the pitcher = 31.4 × 17.5

Surface area of the pitcher = 549.5 in²

[tex] \therefore [/tex] The surface area of the pitcher is 549.5 in².

Hence, the option (C) 549.5 in² is correct. [Answer]

The surface area of the cylinder is  549.50  in².

A cylinder is a three-dimensional object. It is made up of a prism with a circular base. The total surface area is the sum of the areas of the faces or surfaces of a 3-dimensional object

Total surface area = 2πr(r + h)

Where:

2 x 3.14 x 5 (5 + 12.5) = 549.50  in²

Answer:

96

Step-by-step explanation:

Its a pattern :) BTW can you help with mine please

Answer:

-15

Step-by-step explanation:

yan po ang answer thank you na lang po

Answer:

Answer is E but not 100%

Step-by-step explanation:

Answer:

A is correct

E shows an error as the first two values are identical so one cannot be greater than the other.

Step-by-step explanation:

A shows 2.69 is equal to 2.696 which is more than 2.696 which is more than 2.696 which is more than 2.696

As when;

2.696 repeats in bold = 2.696969696  1st greatest

2.696 repeats in bold = 2.696696696 2nd in highest value so 2nd in order.

2.696 repeats in bold = 2.696666666 3rd in highest value so 3rd in order.

2.696 does not repeat = 2.696 so is the least greatest from the list.

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!

Answer:

Based on your understanding of the ideas of external consistency and fruitfulness, which of the following statements best describes the relevance of these ideas to the acceptance of hypotheses?

2. A fruitful hypothesis is considered stronger because fruitful hypotheses promote scientific progress by revealing new avenues of research and analysis

Which of the following scenarios best demonstrates the idea of fruitfulness?

4. Ordinantly, quantum mechanics is used to describe the behavior of bodies that are so smal that they cannot be seen under an optical microscope, while the theories of classical physics we used to analyze the behavior of large-scale bodies.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

and sure

Answer:

4

Step-by-step explanation:

Answer:

16. (80)(60) = 4800

17. (500)(600) = 300000

18. (700)(800) = 560000  a). high

Step-by-step explanation:

Answer:

a-The Linear Model is as follows:

[tex]X+Y+Z\leq 100,000\\{0.001X}\geq 20\\{0.001Z}\leq 50\\0.00001X+0.00004Y+0.00008Z\leq5\\X\geq0\\Y\geq0\\Z\geq0[/tex]

b-The values are

X=$33,333.33

Y=$16,666.67

Z=$50,000.00

Leading to a total expected return of $4333.33.

c-The values of constraints are as follows

X+Y+Z=33333.33+16666.67+50000=100,000

X=33%, Y is 16.67% and Z is 50%

Risk component of X is 0.33

Risk component of Y is 0.66

Risk component of Z is 4.00

Step-by-step explanation:

a

From the conditions, the first special constraint is the total amount which is that the sum of investments must not be  more than the total available amount of $100,000 so

[tex]X+Y+Z\leq 100,000[/tex]

The second special constraint is that the percentage of X must be at least 20% So

[tex]\dfrac{X}{100,000}\times100 \geq20\\\dfrac{X}{1000} \geq20\\{0.001X}\geq 20[/tex]

The third special constraint is that the fraction of total investment of Z must not exceed 50% So

[tex]\dfrac{Z}{100,000}\times100 \leq50\\\dfrac{Z}{1000}\leq 50\\0.001Z\leq50[/tex]

The fourth special constraint is that the combined portfolio risk index must not exceed 5 so

[tex]\dfrac{X}{100,000}\times1+\dfrac{Y}{100,000}\times4+\dfrac{Z}{100,000}\times8\leq5\\0.00001X+0.00004X+0.00008Z\leq5[/tex]

As the investments cannot be negative so three basic constraints are

[tex]X\geq0\\Y\geq0\\Z\geq0[/tex]

The maximization function is given as

[tex]f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times1\%+\dfrac{Y}{X+Y+Z}\times3\%+\dfrac{Z}{X+Y+Z}\times7\%\\f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times0.01+\dfrac{Y}{X+Y+Z}\times0.03+\dfrac{Z}{X+Y+Z}\times0.07[/tex]

b

By using an LP solver with BigM method the solution is as follows:

X=$33,333.33

Y=$16,666.67

Z=$50,000.00

Leading to a total expected return of $4333.33.

c

The values of constraints are as follows

X+Y+Z=33333.33+16666.67+50000=100,000

X=33%, Y is 16.67% and Z is 50%

Risk component of X is 0.33

Risk component of Y is 0.66

Risk component of Z is 4.00

Answer:

That did not make sense

Answer:

x = 3

Step-by-step explanation:

Verified correct with test results.

Just had to delete the jibberish to find the actual question for this problem:

The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x. What is the value of x?

Use the binomial theorem:

[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]

The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be

[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]