In a​ company, ​75% of the workers are women . If 1,475 people work for the company who​ aren't women ​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answer:

1. Using the jug 6 times and the bucket 3 times

2. Using the bucket 6 times, then using the jug two times

Step-by-step explanation:

Firstly, let’s remember that 1000 ml = 1l

Thus 2L = 2000 ml

And 15L = 15,000 ml

So the situation we are having now is that we want to fill a barrel of 15,000 ml using a jug of 1500 ml and a bucket with a capacity of 2000 ml

Firstly, the first way is using the bucket 6 times and the jug 2 times

What i mean by this is using the bucket 6 times bringing the total volume from the bucket as (6* 2000) = 12,000 ml

Then we are left with 15,000-12,000 = 3,000 ml

Now, she can fill the barrel with 2 times the full volume of the jug making 3,000

Secondly, she can also use the combination of both.

She can use the bucket 6 times and the jug 2 times

The total volume in each case here would be;

For the bucket; (2,000 * 6) = 12,000 ml

while for the jug, we have (1500 * 2) = 3,000 ml

And thus we shall be having a total of 12,000 + 3,000 = 15,000 ml this way

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

1. H

2.C

3.G

Step-by-step explanation:

Answer:

H, B, and J

Step-by-step explanation:

range is the y-axis, and domain is the x-axis.

The value of the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates is h (e²a - 1) π.

To evaluate the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates, to express the integral in terms of cylindrical coordinates and determine the appropriate limits of integration.

In cylindrical coordinates, the variables are represented as (ρ, θ, z), where ρ is the radial distance, θ is the angle in the xy-plane, and z is the vertical coordinate.

The region e can be described as the volume inside the cylinder x² + y² ≤ a², where a is the radius of the cylinder.

In cylindrical coordinates, the equation of the cylinder x² + y²= a² becomes ρ² = a².

Therefore, the limits of integration for ρ are 0 to a, the limits for θ are 0 to 2π (covering a complete revolution), and the limits for z depend on the height of the cylinder.

If the height of the cylinder is h, then the limits for z would be -h/2 to h/2.

express the integral in cylindrical coordinates:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) ∫(-h/2 to h/2) e²(ρ²) ρ dz dρ dθ the integrand e²(ρ²)  depend on the angle θ,  factored out of the θ integration.

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ ∫(-h/2 to h/2) dz dρ dθ

The innermost integration with respect to z simply evaluates to h:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ h dρ dθ

The integration with respect to ρ can be done by substitution. Let u = ρ², then du = 2ρ dρ:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²u/2 h (1/2) du dθ

= (h/2) ∫(0 to 2π) ∫(0 to a) e²u du dθ

= (h/2) ∫(0 to 2π) [e²u] (0 to a) dθ

= (h/2) ∫(0 to 2π) (e²a - 1) dθ

= (h/2) (e²a - 1) ∫(0 to 2π) dθ

= (h/2) (e²a - 1) [θ] (0 to 2π)

= h (e²a - 1) π

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a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.

Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)

The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%

≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%

≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%

≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%

≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.

Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.

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Answer:

3x - 10 = 13 would be the verbal expression where x = a number

Hope this helps!

Another advantage of using Anova is that it arranges the means so the significant differences can be located and interpreted easily.

The ANOVA test is a type of statistical test used to determine whether there is a statistically significant difference between two or more categorical groups by testing mean differences using variance.

Another important part of the ANOVA is the splitting of the independent variables into two or more groups.

The assumptions for the ANOVA test are the same as those for general parametric tests.

Advantages of ANOVA:

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Answer:

0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)

Answer and Step-by-step explanation:

We are given two functions and are asked to solve a composite function.

f(x) = 2

g(x) = 2\(x^2\) + x - 3

All we have to do are add the functions together.

(2) + (2\(x^2\) + x - 3) =  2\(x^2\) + x - 1

I hope this helps!
#teamtrees #PAW (Plant And Water)

The number of cubes that have just one red face is 25.

A solid three-dimensional shape called a cube contains six square faces, eight vertices, and twelve edges.

Given:

Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cube.

The surface area of the cube with dimensions 5 x 5 x 5,

= 6 x 5 x 5

= 150 square units.

The surface area of the cube with dimensions 1 x 1 x 1,

= 6 square units.

The number of cubes that have just one red face is,

= 150/6 = 25

Therefore, 25 is the required number.

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Answer:

4 x 8 = 32

11 - 8 = 3

5 x 3 = 15

15 / 2

7.5

32 + 7.5 = 39.5

Step-by-step explanation:

Answer:

4 x 8 = 32

11 - 8 = 3

5 x 3 = 15

15 / 2

7.5

32 + 7.5 = 39.5

Answer:

Step-by-step explanation:

Answer:

C.   40 ≤ d ≤ 80

Step-by-step explanation:

The range is the set of y-coordinates.

In this case, the vertical axis is d, so each ordered pair is (e, d), and the range is the set of d-coordinates.

40 and 80 have closed dots, so they are included, and all numbers between 40 and 80 are also included.

The range is

40 ≤ d ≤ 80

Step-by-step explanation:

To find the percentage increase, we use the following formula:

percentage increase = (new value - old value) / old value * 100%

In this case, the old value is 25 and the new value is 86. So, we can plug these values into the formula:

percentage increase = (86 - 25) / 25 * 100% = 244%

Therefore, the percentage increase from 25 to 86 is approximately 244%.

Answer:

244% increase

Step-by-step explanation:

The diameter of the tree trunk is 6.5 feet (to the nearest half-foot).

Given: Length of the rope wrapped around the tree trunk = 21 feet 8 inches.How the group of students can use this length to estimate the diameter of the tree trunk to the nearest half-foot is described below.Using this length, the students can estimate the diameter of the tree trunk by finding the circumference of the tree trunk. For this, they will use the formula of the circumference of a circle i.e.,Circumference of the circle = 2πr,where π (pi) = 22/7 (a mathematical constant) and r is the radius of the circle.In this question, we are given the length of the rope wrapped around the tree trunk. We know that when the rope is wrapped around the tree trunk, it will go around the circle formed by the tree trunk. So, the length of the rope will be equal to the circumference of the circle (formed by the tree trunk).

So, the formula can be modified asCircumference of the circle = Length of the rope around the tree trunkHence, from the given length of rope (21 feet 8 inches), we can calculate the circumference of the circle formed by the tree trunk as follows:21 feet and 8 inches = 21 + (8/12) feet= 21.67 feetCircumference of the circle = Length of the rope around the tree trunk= 21.67 feetTherefore,2πr = 21.67 feet⇒ r = (21.67 / 2π) feet= (21.67 / (2 x 22/7)) feet= (21.67 x 7 / 44) feet= 3.45 feetTherefore, the radius of the circle (formed by the tree trunk) is 3.45 feet. Now, we know that diameter is equal to two times the radius of the circle.Diameter of the circle = 2 x radius= 2 x 3.45 feet= 6.9 feet= 6.5 feet (nearest half-foot)Therefore, the diameter of the tree trunk is 6.5 feet (to the nearest half-foot).

Learn more about Tree trunk here,Widening of tree trunk is mostly due to the activity of A. Phelloderm

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Answer:

1/√5-√2 = −√2+√5 (-0.967)

√5-√2 = −√2+√5 (0.821854)

Subtract the answers as the decimal and/or the equation:

-0.967-0.821854 = -1.518854

As equation:

−√2+1/5√5 - √2+√5 = −2√2 + −4/5√5 (Decimal: -4.617282)

Answer:

8 batches

Step-by-step explanation:

6 2/3= 6 4/6 =40/6

40/6 divided by 5/6= 8

✨✨✨✨✨✨✨✨✨✨

Answer:

14 miles per hour

average speed = total distance/ total time

here the time is given in minutes so divide 270 minutes with 60, that gives out 4.5 hours to complete the journey.

average speed = 63/ 4.5

Answer: 14 miles per hour

His average miles per hour is 14 miles per hour. Hope this help.

Answer:

319

Step-by-step explanation:

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Answer:

The solution is:

\(y=7,\:x=3\)

Step-by-step explanation:

I think substitution method would be the best method for solving the given system of equations.

The reason is that all we need is to plug in the the value of y i.e. y=x+4 in the equation 3x – 4y = -19, then solve for x, and in the end substitute the value x in the equation y=x+4 to get the y-value.

The other method, elimination method, can also be used, but elimination method in current system of the equations would involve a certain degree of arrangements of the variables and then different multiplying of the equation to eliminate the variables.

Thus, I think substitution method would be the best method for solving the given system of equations.

Let us solve using substitution method

\(\begin{bmatrix}y=x+4\\ 3x-4y=-19\end{bmatrix}\)

\(\mathrm{Subsititute\:}y=x+4\)

\(\begin{bmatrix}3x-4\left(x+4\right)=-19\end{bmatrix}\)

\(\begin{bmatrix}-x-16=-19\end{bmatrix}\)

\(x=-16+19\)

\(x=3\)

Now, just substitute x=3 in y=x+4

\(y=x+4\)

\(y=3+4\)

\(y=7\)

Thus, the solution is:

\(y=7,\:x=3\)

Answer:

d = 12.7  when rounded to the nearest tenths

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (0, -3) and (9, 6)

d=√((9-0)²+(6-(-3))²)

d=√((9))²+(6+3))²)

d=√(81 + (9)²)

d = √162

d = 12.727...

d = 12.7  when rounded to the nearest tenths

Therefore, looking at the effect size provides a more comprehensive understanding of the results of a statistical analysis.

It is important to look at the effect size because p values can be affected by sphericity corrections, but they do not necessarily provide information on the magnitude of the effect. Effect size, on the other hand, quantifies the size of the effect independent of sample size, which can be useful in determining the practical significance of the results. Additionally, effect size can help to identify meaningful differences between groups or conditions, even when statistical significance is not achieved due to insufficient sample size or other factors.

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the runners stop once they are all together again somewhere on the circular course. then the runners run (C) 2500$ seconds

first consider the first two runners . the faster runner will lap the slower runner exactly once or run 500 meters farther. let x be the time these runners run in seconds

4.8x - 4.4 x =500

               x = 1250

because 4.4(1250) = 5500 is a multiple of 500 it turns out they just meet back at the start line

Now we must find a time that is a multiple of $1250$ and results in the 5.0 m/s runner to end up on the start line. Every $1250$ seconds, that fastest runner goes $5.0(1250)=6250$ meters. In $2(1250)=2500$ seconds, he goes $5.0(2500)=12500$ meters. Therefore the runners run (C) 2,500$ seconds.

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If the supervisor increases the sample size to 600 residents, the estimated percentage of residents would become more accurate. A larger sample size provides a better representation of the population, thus reducing the potential for sampling error. In other words, a larger sample size means that the percentage of residents obtained from the sample would be more representative of the percentage of residents in the population.

For example, if the initial sample size was 100 residents, and the estimated percentage of a certain characteristic was 50%, there is a higher likelihood that this percentage may not accurately represent the true percentage of the population. However, if the sample size is increased to 600 residents, the estimated percentage would likely be closer to the true percentage of the population.

Overall, increasing the sample size allows for more precise estimates of population characteristics and reduces the potential for errors in generalizing sample results to the entire population.

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0.000 is equation of raph

Answer:

The ratio of 3:6 means the 180 degrees has been split into 3+6 = 9 parts. One angle is 3 parts, so it = 3*20 = 60 degrees. The other is 6 parts, so it = 6*20 = 120 degrees.

Step-by-step explanation:

brainliest please

The measure of the larger angle is 60°

"Two angles are complementary angles when their sum is 90°"

"It is the comparison of two quantities of the same type."

For given example,

the ratio two complementary angles is 3:6

This means these complementary angles are 3x, 6x , where x represents the common angle of the ratio 3:6

Since the sum of the complementary angles is 90°

⇒ 3x + 6x = 90

⇒ 9x = 90

⇒ x = 90/10

⇒ x = 10°

So, the measure of the complementary angles would be,

⇒ 3x = 3 × 10°

⇒ 3x = 30°

And, 6x = 6 × 10°

⇒ 6x = 60°

Therefore, the measure of the larger angle is 60°

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The discriminant to determine the number and type of solutions for the quadratic equation is -127.

What is the quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x.

a. The discriminant of the quadratic equation is given by the expression: b² - 4ac. In this case, b = 7, a = 4, and c = 11. So, the discriminant is:

7² - 4 * 4 * 11 = 49 - 176 = -127

Since the discriminant is negative, the quadratic equation has no real solutions. This means that the height of the ball never reaches the ground (h = 0) and continues to move in the same direction indefinitely.

b. To graph the equation, we can plot points using the equation for different values of t and connect them with a smooth curve.

The graph will show that the height of the ball increases first, reaches a maximum, and then decreases but never reaches the ground.

c. To solve the equation by factoring, we could rearrange the equation into a standard form of ax² + bx + c = 0, where a = 4, b = 7, and c = 11. But since the discriminant is negative, the equation cannot be factored into real solutions. To solve the equation by the quadratic formula, we can use the formula:

x = (-b ± √(b² - 4ac)) / (2a)

where x represents the time, t, at which the height of the ball reaches a certain point.

But again, since the discriminant is negative, there are no real solutions for t.

d. Each method (graphing, factoring, and the quadratic formula) provides a different way to find the solutions for the height of the ball, but since the discriminant is negative, there are no real solutions for the height of the ball.

Hence, the discriminant to determine the number and type of solutions for the quadratic equation is -127.

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