Out of the 482 employees at the Coca-Cola plant, 37 are taking vacation next week. What percentage of employees are NOT vacationing?

Answer:

the weight that attached to the spring is 9.5 inches

Step-by-step explanation:

The computation is shown below:

inches per pound is

= 11 inches ÷ 75 pounds

Now for 65 pounds, it would be

=  11 inches ÷ 75 pounds × 65 pounds

= 9.5 inches

Hence, the weight that attached to the spring is 9.5 inches

The same is relevant and considered

Answer:

67

Step-by-step explanation:

because a quarter is 25 cent and dana had 92 so all u have to do is take away 25 and you will get 67

Answer:

c.60

Step-by-step explanation:

12 x 5 = 60

Answer:

now you can give them brainlest

Answer:

Constraints;

T + F ≤ 2000

4t ≥ F

T ≥ 0

F ≥ 0

Step-by-step explanation:

T- Technology stock

F - food stocks

T + F ≤ 2000

4t ≥ F

T ≥ 0

F ≥ 0

Now one has to use linear programming to solve this problem.

Example Answer:

You could represent a round trip to Los Angeles with the variable: x

You could represent the number of miles in a round trip to Los Angeles with the variable: a

You could represent a round trip to San Diego with the variable: y

You could represent the number of miles in a round trip to San Diego with the variable: b

your equation would be: xa + yb

Factoring in what we know, the example equation would be:

5a + yb

Answer:

select the correct answer from each drop-down menu. quadrilateral abcd is translated 7 units down and 2 units to the right. the length of side ab of the original quadrilateral is units. after the translation, the length of side ab will .

Answer:

Interest earned= $200

Step-by-step explanation:

Giving the following information:

Initial investment= $20,000

Interest rate= 3%

Inflation rate= 2%

First, we need to calculate the real interest rate. The inflation rate decreases the value of money through time. We need to deduct from the interest rate, the inflation rate.

Real interest rate= 0.03 - 0.02= 0.01

Now, we can calculate the interest earned in year 1:

Interest earned= PV*(1+i)^n - PV

Interest earned= 20,000*(1.01^1) - 20,000

Interest earned= $200

Answer:

200

Step-by-step explanation:

Answer:

I think its 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Hey there! If you have any questions feel free to leave them in the comments below

3 ÷ [tex]\frac{1}{2}[/tex] = 6

You should flip the reciprocal and then multiply it by 3. 3 * 2 would = 6.

~I hope I helped you :)~

Answer:

R = 41.42% (Approx)

Step-by-step explanation:

Given:

Current bacteria P = 900

Future bacteria A = 3,600

Amount of period = 4 hour

Find:

Growth rate r

Computation:

A = p[1+r]ⁿ

3,600 = 900[1+r]⁴

4 = [1+r]⁴

1.4142 = 1+r

r = 0.4142

R = 41.42% (Approx)

Answer:

V(d) = 50d + 250 us the answer

The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,

A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.

The equation for the function can be framed as follows:

Per day expense  = 40 + 10 = 50

Fixed expense = 250

V(d) = 5d + 250

Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

Learn more about the function here:

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Complete Question:

The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?

Answer:

We accept [tex]H_o[/tex] hence no significant  evidence

Step-by-step explanation:

From the question we are told that

sample correlation n= 20

population correlation  = 4

level of significance [tex]\alpha =0.05[/tex]

Generally we are task to understand existing difference between  sample correlation and population correlation

Generally null hypothesis  is given by [tex]H_o : p=0[/tex]

alternative hypothesis [tex]H1_1 : p\neq 0[/tex]

generaly the mathematical representation of test statics

        [tex]t= r\sqrt{\frac{n-2}{1-r^2} }[/tex]

        [tex]t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }[/tex]

        [tex]t= 1.85[/tex]

Generally for table the p value is given by [tex]p= 0.08056[/tex]

p value > the null hypothesis

Therefore

We accept [tex]H_o[/tex] hence no significant  evidence

Answer:

14 feet

Step-by-step explanation:

Let the shorter piece have length x.

Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.

Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.

Thus, the shorter piece is 14 feet.

I hope this helps! :)

the shorter piece is 14ft long

Step-by-step explanation:

let the shorter piece be x

longer piece will be x:21

ratio of two pieces= 2:3

2:3=x:21

2/3=X/21

then cross multiply

21×2=3x

42/3=3x/3

X=14

2:3=14:21

hope it helps

Answer:

B 74

Step-by-step explanation:

right on edge

The solution is, The value of x is 6.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have.

given that,

Figure VWYX is a kite.

Sides V W and W Y are congruent, and sides V X and Y X are congruent.

Angles V and Y are right angles.

Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.

The total of angles in any quadrilateral is 360°.

Angles V and Y are 90° each,

so the total of W and X must be 180°.

we have,

 (18x -2) +(12x +2) = 180

 30x = 180

 x = 180/30

    = 6

The value of x is 6.

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maybe 61km from northeast

Answer:

Answer is C

Step-by-step explanation:

A scenario describing the inequality {d ≤ 16} is given below.

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.

A scenerio to represent this inequality is -

" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."

Therefore, we can represent the given inequality as a scenario mentioned above.

To solve more questions on inequality, visit the link below

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Answer:

1. Yes

2. No

3.No

Step-by-step explanation:

The six trigonometric ratios are [tex]\sin{\theta}\\[/tex], [tex]\cos{\theta}[/tex], [tex]\tan{\theta}\\[/tex], [tex]\csc{\theta}\\[/tex], [tex]\sec{\theta}\\[/tex], [tex]\cot{\theta}\\[/tex]

[tex]\sin{\frac{2\pi}{3}} = \sin{\frac{\pi}{3}} = \frac{\sqrt{3}}{2}\\\cos{\frac{2\pi}{3}} = \cos{\frac{\pi}{3}} = \frac{1}{2}\\\tan{\frac{2\pi}{3}} = \tan{\frac{\pi}{3}} = \frac{\sin{\frac{\pi}{3}}}{\cos{\frac{\pi}{3}}} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \frac{2\sqrt{3}}{2} = \sqrt{3}\\\csc{\frac{2\pi}{3}} = \csc{\frac{\pi}{3}} = \frac{1}{\sin{\frac{\pi}{3}}} = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}}} = \frac{2\sqrt{3}}{3}\\[/tex]

[tex]\sec{\frac{2\pi}{3}} = \sec{\frac{\pi}{3}} = \frac{1}{\cos{\frac{\pi}{3}}} = \frac{1}{\frac{1}{2}} = \frac{2}{1} = 2\\\cot{\frac{2\pi}{3}} = \cot{\frac{\pi}{3}} = \frac{1}{\tan{\frac{\pi}{3}}} = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}[/tex]

Answer:

Step-by-step explanation:

The diagram showing the pictorial view is attached below.

From the image, the distance of the hiker traveled which is denoted by "h" can be determined as follows:

h = 2.8 mi/hr × 4 hr

h = 11.2 mi

Using the trigonometric function;

The distance of how  far North is the hike from the ranger station can be determined by using the function of Sin θ

[tex]Sin \theta = \dfrac{opposite}{hypotenuse}[/tex]

[tex]Sin(41^0) = \dfrac{x}{11.2}[/tex]

x = Sin 41 (11.2)

x = 0.6561(11.2)

x = 7.34832

x ≅ 7.35 miles

The distance of how far west the hike from the ranger station is calculated by using:

[tex]cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos (41^0)= \dfrac{y}{11.2}[/tex]

y = 0.7547 × (11.2)

y = 8.45 miles

Answer:

The width of new phone = 5.5 inches

Step-by-step explanation:

Given that:

Length of cell phone = 1.4 inches

Width of cell phone = 4.4 inches

Ratio of length to width = 1.4 : 4.4

Length of new version = 1.75 inches

Width of new version = x

Ratio of length to width = 1.75 : x

As the relation is proportional;

[tex]1.4:4.4 ::1.75:x[/tex]

Product of mean = Product of extreme

4.4 * 1.75 = 1.4x

7.7 = 1.4x

1.4x = 7.7

Dividing both sides by 1.4

[tex]\frac{1.4x}{1.4}=\frac{7.7}{1.4}\\x=5.5\\[/tex]

Hence,

The width of new phone = 5.5 inches

Answer: 2x^2 + y^2

Hope this helps :)

9514 1404 393

Answer:

  11/20

Step-by-step explanation:

It is appropriate to "invert and multiply".

  [tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]

Answer: 16 • (x - 2) • (x + 2) • (x - 5)

Step-by-step explanation: 1

(((2•(x-2)•(x+2))•4)•(x-5))•2

STEP

2

:

Equation at the end of step 2

((2•(x-2)•(x+2)•4)•(x-5))•2

STEP

3

:

Equation at the end of step 3

(8 • (x - 2) • (x + 2) • (x - 5)) • 2

STEP

4

:

Equation at the end of step 4

8 • (x - 2) • (x + 2) • (x - 5) • 2

STEP

5

:

Final result :

16 • (x - 2) • (x + 2) • (x - 5)

Answer: 10 eggs

Step-by-step explanation:

you need to divide 40 by 16 then you multiply that by 4 and you get 10.

Answer:

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...

Answer:

use the thingy with the holes I guess

Answer:

The length of AB is 48 centimeters.

Step-by-step explanation:

According to the given information, AC is the hypotenuse of the right triangle, since it is opposed to a right angle (angle B). BC is the leg adjacent to angle B, whereas AB is the leg opposed to angle C. Then, we can find the length of AB by the following trigonometric identity:

[tex]\sin C = \frac{AB}{AC}[/tex] (1)

If we know that [tex]AC = 96\,cm[/tex] and [tex]C = 30^{\circ}[/tex], then the length of [tex]AB[/tex] is:

[tex]AB = AC\cdot \sin C[/tex]

[tex]AB = (96\,cm) \cdot \sin 30^{\circ}[/tex]

[tex]AB = 48\,cm[/tex]

The length of AB is 48 centimeters.

Answer:

The answer is below

Step-by-step explanation:

a)

Amount Stefan sold the bicycle and helmet to Jin = cost of bicycle + cost of helmet = $115 + $16 = $131

This amount that Jin bought both bicycle and helmet is 110% of what Stefan spent originally to buy the bike and helmet.

Let x = what Stefan spent originally to buy the bike and helmet = original price. Hence:

110% of x = $131

(110 / 100) * x = 131

1.1x = 131

x = $119.09

b)

Hence the profit made from selling the bike = $131 - $119.09 = $11.91