The dimensions of a rectangular building used to store tools for electrical lineman has a length of 12x+24 feet and the width of 20x-10 feet.

1.Write the expression that represents the area of the building, in terms of x.
2. Write the expression that represents the perimeter of the building, in terms of x.
3. If the perimeter is going to be 220 feet, what are the dimensions of the building.

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Known:

Lets re-read the text. We need to find key words to see what we need to solve.. Words such has "It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. " Tells us its a subtraction problem.

Lets do the math :)↓↓↓

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Answer: 1 1/2 x 2 1/32

Step-by-step explanation: The word Times tells us that it is multiplication

Answer:

you add then you multiply the number that you have and then whatever you get thats your answer

Step-by-step explanation:

hopes this help :)

The force is 1.6N and the distance between them is 1.3 meters

An inverse variation from force to the square of distance is represented s:

k = Fd^2

Where k represents the variation constant

When F = 10, d = 2.

So, we have:

k = 10 * 2^2

k = 40

Substitute k = 40 in k = Fd^2

Fd^2 = 40

When d = 5, we have:

F * 5^2 = 40

This gives

25F = 40

Divide by 25

F = 1.6

Hence, the force is 1.6N

In (a), we have:

Fd^2 = 40

When F = 25, we have:

25 * d^2 = 40

This gives

25d^2 = 40

Divide by 25

d^2 = 1.6

Take the square root of both sides

d = 1.3

Hence, the distance between them is 1.3 meters

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Answer:

Step-by-step explanation:

Answer:

8 jzhwwh8qoqqnsnwuwjwjqj

Answer:78

Step-by-step explanation:

Answer:

um i really dont know but if i dont know the the answer to sum i put c but i recommend not doing that

Step-by-step explanation:

Answer:

The second option, 2 is a prime number, but not odd

Step-by-step explanation:

A prime number is a result of two other whole numbers multiplied by themselves. There is no whole number that you can multipy by itself to get 2 because 1 × 1 = 1 and 2 × 2 = 4. Therefore, it is a prime number. But, that does not mean it is an odd number because odd numbers are 1, 3, 5, 7, etc. and even numbers are 2, 4, 6, 8, etc.

Answer:

See below

Step-by-step explanation:

\(g(x)=2x^2+9x-5\)

\(0=2x^2+9x-5\)

\(0=(2x-1)(x+5)\) <-- Factors

\(x=\frac{1}{2}\) and \(x=-5\) <-- Zeroes

Answer:

Step-by-step explanation:

This is best solved using a proportion.

The formula is soy/vinegar = soy/vinegar where one of these is a variable.

Here we have:

\(\frac{150}{100} = \frac{1}{x}\)

Now, we solve this by cross multiplying.

150x = 100

Dividing both sides by x, we get x = 2/3 or about 0.667.

Checking:

\(\frac{150}{100} = \frac{1}{0.667}\)

1.5 = 1.5 ✅

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Answer:

Step-by-step explanation:          

\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\)    (completing the square)  

  \(49x^2-42x+441=49x^2-42x+21^2\)

                              \(=(7x-21)^2\)

So    \(49x^2-42x+441=(7x-21)^2\)

Solution: The required constant is 441.

Remember:    Completing the square IN \(ax^2+bx+c\) involves adding  \((\frac{b}{2} )^2\)     to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.    

Answer:

I think it's 5 to the power of 8

Step-by-step explanation:

Just put (5^4)2 in the calculator to get 390,625. Then put 5^8 in the calculator to get the same number 390,625.

The value of b = -3/2 and c = -5/4

To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:

(x + b)² = x² + 2bx + b²

Comparing this to the given expression x² - 3x + 1, we see that we need:

2bx = -3x, so b = -3/2

b² + c = 1, so substituting b = -3/2 gives:

(9/4) + c = 1

so c = 1 - 9/4

= 4/4 - 9/4

= -5/4

The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).

Therefore, the value of b = -3/2 and c = -5/4

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Given question is incomplete, the complete question is below

the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?

Answer:

4 weeks

Step-by-step explanation:

Answer:

well if i am correct 25 weeks (correct me if i am wrong please lol.)

Step-by-step explanation:

We need to find the current yield of a bond that pays interest semiannually, given that the bond's price is $958.56, the semiannual coupon payment is $29.50, and the par value is $1,000. Therefore, the answer is option (e) 6.16%.

The formula for current yield is given by (Annual Interest Payment / Current Market Price) * 100.

The bond that pays interest semiannually has a price of $958.56 and a semiannual coupon payment of $29.50.

If the par value is $1,000, what is the current yield?

Solution: Given, Price of the bond = $958.56

Semi-annual coupon payment = $29.50

The par value of the bond = $1000

The coupon rate per period is calculated as follows:

Coupon rate = Semi-annual coupon payment / Par value of the bond

Coupon rate = $29.50 / $1000Coupon rate = 0.0295

The current yield is calculated as follows:

Current yield = (Annual Interest Payment / Current Market Price) * 100

Since the bond pays interest semiannually, the annual interest payment is:

Annual Interest Payment = Semi-annual coupon payment * 2

Annual Interest Payment = $29.50 * 2

Annual Interest Payment = $59

The current market price of the bond is $958.56

Therefore, Current yield = (Annual Interest Payment / Current Market Price) * 100

Current yield = ($59 / $958.56) * 100

Current yield = 6.16%.

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The 66 percent in the form of fraction representing the national average of the students graduating within six years from a private and non profit institution  is given by 33 / 50.

Percent of students graduating from private nonprofit institution within six years is equal to 66 percent

Value of one percent is equal to one part of  100

Percent in the form of fraction is given by :

⇒  1 percent = one part of hundred

⇒ 1 percent = ( 1 / 100 )

⇒ 66 percent  = ( 66 / 100 ) in fraction form

Simplify the fraction in more reduced form we get,

⇒ 66 percent  = ( 33 / 50 ) in fraction form

Therefore, the fraction form of the 66 percent students who have graduate within six years from private non-profit institution is equal to  ( 33 / 50 ).

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Answer: 24,000 feet

Step-by-step explanation:

Well there is 60 minutes in an hour. So every 60 minutes you add by 6000

and 6000 x 4= 2400

:)

Answer:

ln(x - 3).

Step-by-step explanation:

f(x) = ln(x - 3)

For ln x, x must be > 0

so for ln(x - 3) , x must be > 3.

The value of m∠SRT as shown in the circle below is 46.5°.

A circle is a round-shaped figure that has no corners or edges.

To calculate the value of m∠SRT, use the formula below

Formula:

But,

From the diagram,

Given:

Substitute these values into equation 2

Finally we substitute the value m∠SUT into equation 1

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Answer:

12.35

Step-by-step explanation:

Just multiply

\(19\)

and

\(0.65\)

Because

Orginal Price x Sale Cost= Sale of the Price.

\(19 \times 0.65 = 12.35\)

Usando medidas proporcionales, se encuentra que tardarán 50 días en construila.

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

El voluma de agua es directamente proporcional a el número de días, el número de horas diárias y a el número de obreros, o sea:

\(V = kdho\)

En que k es la constant de proporcionalidad.

De esto, encuentra-se el valor de k.

\(V = kdho\)

\(80000 = k(40)(10)(15)\)

\(6000k = 80000\)

\(k = \frac{80000}{6000}\)

\(k = 13.33\)

O sea

\(V = 13.33dho\)

\(V = 13.33dho\)

\(40000 = 13.33d(6)(10)\)

\(d = \frac{40000}{60 \times 13.33}\)

\(d = 50\)

Tardarán 50 días en construila.

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Answer:

6.38%

Step-by-step explanation:

To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.

So we get this sort of image:

Total = Original Cost x (1 + %tax)

Now we can start putting the numbers from the question into this equation.

So we know the total:

27.50 = Original Cost x (1+%tax)

We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)

27.50 = 25.85 x (1+%tax)

Now we can start solving for "%tax".

(27.50/25.85) = 1 + %tax

1.0638 = 1 +%tax

1.0638 - 1 = %tax

0.0638 = %tax

6.38% = tax

The sales tax is 6.38%.

The customer would pay $20.16 for a sweatshirt if they buy one or two sweatshirts from the store.

The statements that apply are: The store owner marks up the price of the sweatshirt by 20% to make a profit and The sale tax in the store's location is 5%.

So the price of the sweatshirt after the markup would be:

$16 + ($16 × 20%) = $16 + $3.20 = $19.20

And the price of the sweatshirt including the sales tax would be:

$19.20 + ($19.20 × 5%) = $19.20 + $0.96 = $20.16.

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The question is -

A store owner buys a sweatshirt for $16 and marks them up 20% to make a profit. The sale tax where the store is located is 5%. A customer considers buying one or two sweatshirts from the torn. Select all the statements that apply

Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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Answer:

(9/2, -1/2)

Step-by-step explanation:

Answer:

The area of an equilateral triangle is:

\(A=144\sqrt{3}\) cm²      

Hence, the left bottom option i.e. \(144\sqrt{3}\) cm² is the correct option.

Step-by-step explanation:

We know that the perimeter of a triangle is just the sum of its three sides.

Given that the perimeter of an equilateral triangle is 72cm.

i.e. \(P = 72\) cm

Important Tip:

Let 'a' be the length of an individual side of an equilateral triangle.

The length of an individual side of an equilateral triangle will be:

\(\:a\:=\:\frac{P}{3}\:\)

 \(a=\:\frac{72}{3}\)         ∵ The perimeter \(P = 72\)

 \(a= 24\) cm

Thus,

The length of an individual side of an equilateral triangle: a = 24 cm

The area of an equilateral triangle can be determined using the formula

\(A=\frac{\sqrt{3}}{4}a^2\)

where 'a' is the length of an individual side

now substitute a = 24 cm in the formula

\(A=\frac{\sqrt{3}}{4}\left(24\right)^2\)

\(A=\frac{\sqrt{3}}{4}\left(576\right)\)                ∵ 24² = 576

\(A=144\sqrt{3}\)  cm²           ∵ \(\:\frac{576}{4}=144\)

Therefore, the area of an equilateral triangle is:

\(A=144\sqrt{3}\) cm²      

Hence, the left bottom option i.e. \(144\sqrt{3}\) cm² is the correct option.

CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

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